version
stringclasses 1
value | hypothesis
stringlengths 8
80
| hypothesis_formula
stringclasses 314
values | facts
stringlengths 16
591
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stringlengths 10
292
| proofs
sequencelengths 0
1
| proofs_formula
sequencelengths 0
1
| negative_hypothesis
stringlengths 9
90
â | negative_hypothesis_formula
stringlengths 3
36
â | negative_proofs
sequencelengths 0
1
| negative_original_tree_depth
int64 0
18
â | original_tree_steps
int64 1
2
| original_tree_depth
int64 1
2
| steps
int64 1
2
â | depth
int64 1
2
â | num_formula_distractors
int64 0
5
| num_translation_distractors
int64 0
0
| num_all_distractors
int64 0
5
| proof_label
stringclasses 3
values | negative_proof_label
stringclasses 2
values | world_assump_label
stringclasses 3
values | negative_world_assump_label
stringclasses 2
values | prompt_serial
stringlengths 73
668
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stringlengths 11
144
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stringlengths 54
351
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stringlengths 11
95
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ãé¢ãé£ããšããããšããŸãã¯åãé£ããšããããšããããã¯ã©ã¡ãããèµ·ããããšããããšã¯æãç«ããªã | ¬({A} v {B}) | fact1: ãŽã«ããŽãLv.36äºä»¶ããŸãã¯ãœã«ããœãLv.67äºä»¶ãèµ·ãã | fact1: ({CL} v {HL}) | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãŽã«ããŽãLv.36äºä»¶ããŸãã¯ãœã«ããœãLv.67äºä»¶ãèµ·ãã ; $hypothesis$ = ãé¢ãé£ããšããããšããŸãã¯åãé£ããšããããšããããã¯ã©ã¡ãããèµ·ããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({CL} v {HL}) ; $hypothesis$ = ¬({A} v {B}) ; $proof$ = | __UNKNOWN__ |
0.3 | äžãé£ããšããããšãèµ·ãã | {B} | fact1: ãäžãé£ããšããããšã¯çºçããªãããšããããšã¯ãã·ã¡ãã·ãLv.74äºä»¶ãçºçããããšããããšã«é»æ¢ããã fact2: å·ä»ãæããšããããšã¯éæç¡ããšããããšã®ãã£ãããšãªã fact3: ç¥ãé£ããšããããšãçãã | fact1: {A} -> {B} fact2: {CD} -> {DE} fact3: {BE} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãäžãé£ããšããããšã¯çºçããªãããšããããšã¯ãã·ã¡ãã·ãLv.74äºä»¶ãçºçããããšããããšã«é»æ¢ããã fact2: å·ä»ãæããšããããšã¯éæç¡ããšããããšã®ãã£ãããšãªã fact3: ç¥ãé£ããšããããšãçãã ; $hypothesis$ = äžãé£ããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> {B} fact2: {CD} -> {DE} fact3: {BE} ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ããé å¿ãæãããŸããŸããããšããããšã¯ãªãããšããããšã¯ééã£ãŠãããšãããšæž¡æ¥ãããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ¬({AA}x & ¬{AB}x) -> {B}x | fact1: ãä»®ã«é å¿ãæãããã€ãŸããããªããšãããæž¡æ¥ãããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: (Ex): ({AA}x & ¬{AB}x) -> {B}x | [] | [] | null | null | [] | null | 1 | 1 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãä»®ã«é å¿ãæãããã€ãŸããããªããšãããæž¡æ¥ãããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ããé å¿ãæãããŸããŸããããšããããšã¯ãªãããšããããšã¯ééã£ãŠãããšãããšæž¡æ¥ãããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): ({AA}x & ¬{AB}x) -> {B}x ; $hypothesis$ = (Ex): ¬({AA}x & ¬{AB}x) -> {B}x ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ãLv.25ã¯ä¹ã蟌ãã | {C}{b} | fact1: ãã®ãŸã«ããŸãªLv.17ã¯ä»ãé£ã fact2: ããã®ã·ã¡ãã·ã¡ã
Lv.5ã¯åãå§ããããšããããšã¯æãç«ã€ fact3: ä»®ã«ãã®ãŸã«ããŸãªLv.17ãä»ãé£ããªãã°ãã®ã·ãã·ãLv.25ã¯åãå§ãã fact4: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãé·çŽ°ããšããã°ããã¯åãå§ãã fact5: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯å¿èŠãããšãããšãããã¯ä»ãé£ãããšããããšã¯æ¬åœã§ãã fact6: ä»®ã«ãã®ã·ãã·ãLv.25ãåãå§ããã°ä¹ã蟌ãã fact7: ãã®ã·ãã·ãLv.25ã¯çŽ æ©ã fact8: ãã®ãŸã«ããŸãªLv.17ã¯ä¹ã蟌ãã | fact1: {A}{a} fact2: {B}{id} fact3: {A}{a} -> {B}{b} fact4: (x): {D}x -> {B}x fact5: (x): {FP}x -> {A}x fact6: {B}{b} -> {C}{b} fact7: {EL}{b} fact8: {C}{a} | [
"fact3 & fact1 -> int1: ãã®ã·ãã·ãLv.25ã¯åãå§ãã; int1 & fact6 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: {B}{b}; int1 & fact6 -> hypothesis;"
] | ãã®ã·ãã·ãLv.25ã¯ä¹ã蟌ããªã | ¬{C}{b} | [
"fact9 -> int2: ä»®ã«ãã®ãŸã«ããŸãªLv.17ã¯é·çŽ°ããšããã°ããã®ãŸã«ããŸãªLv.17ã¯åãå§ããããšããããšã¯æ¬åœã§ãã;"
] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸã«ããŸãªLv.17ã¯ä»ãé£ã fact2: ããã®ã·ã¡ãã·ã¡ã
Lv.5ã¯åãå§ããããšããããšã¯æãç«ã€ fact3: ä»®ã«ãã®ãŸã«ããŸãªLv.17ãä»ãé£ããªãã°ãã®ã·ãã·ãLv.25ã¯åãå§ãã fact4: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãé·çŽ°ããšããã°ããã¯åãå§ãã fact5: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯å¿èŠãããšãããšãããã¯ä»ãé£ãããšããããšã¯æ¬åœã§ãã fact6: ä»®ã«ãã®ã·ãã·ãLv.25ãåãå§ããã°ä¹ã蟌ãã fact7: ãã®ã·ãã·ãLv.25ã¯çŽ æ©ã fact8: ãã®ãŸã«ããŸãªLv.17ã¯ä¹ã蟌ãã ; $hypothesis$ = ãã®ã·ãã·ãLv.25ã¯ä¹ã蟌ãã ; $proof$ = | fact3 & fact1 -> int1: ãã®ã·ãã·ãLv.25ã¯åãå§ãã; int1 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {B}{id} fact3: {A}{a} -> {B}{b} fact4: (x): {D}x -> {B}x fact5: (x): {FP}x -> {A}x fact6: {B}{b} -> {C}{b} fact7: {EL}{b} fact8: {C}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact3 & fact1 -> int1: {B}{b}; int1 & fact6 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã®ãŽãLv.98ã¯é»Žèã | {C}{b} | fact1: ä»®ã«ãããã®ãã®ãã«ãLv.28ã¯é»Žèãã溶ãæãããšããããšã¯æãç«ã€ããšããããšã¯åã§ãããšãããã黎èããªãããšããããšã¯äºå®ã§ãã fact2: æ ¹æ·±ããªãã¢ã³ã¹ã¿ãŒãå°è±¡æ·±ããªãã°é»Žèããªã fact3: ãã®ã·ãã·ãLv.96ã¯æ ¹æ·±ããŠå ããŠå°è±¡æ·±ã fact4: ãã®ãœã«ããœãLv.60ãæ
ãã ãããŠæŽã«æ ¹æ·±ããšããããã®ãŽã®ãŽãLv.98ã¯æ ¹æ·±ããªã fact5: ãã®ãœã«ããœãLv.60ã¯æ
ãã ãã fact6: ãããã®ã·ãã·ãLv.96ã¯éããªããšããã°ããã®ãã®ãã«ãLv.28ã¯é»Žèãã溶ãæãããšããããšã¯èª€ãã | fact1: ¬({C}{fs} & {D}{fs}) -> ¬{C}{fs} fact2: (x): (¬{A}x & {B}x) -> ¬{C}x fact3: ({A}{a} & {B}{a}) fact4: ({F}{c} & {A}{c}) -> ¬{A}{b} fact5: {F}{c} fact6: ¬{E}{a} -> ¬({C}{fs} & {D}{fs}) | [
"fact3 -> int1: ãã®ã·ãã·ãLv.96ã¯å°è±¡æ·±ã;"
] | [
"fact3 -> int1: {B}{a};"
] | ãã®ãŽã®ãŽãLv.98ã¯é»Žèããªã | ¬{C}{b} | [
"fact9 -> int2: ãããã®ãŽã®ãŽãLv.98ãæ ¹æ·±ããªããå°è±¡æ·±ããªãããã¯é»Žèããªã;"
] | 5 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãããã®ãã®ãã«ãLv.28ã¯é»Žèãã溶ãæãããšããããšã¯æãç«ã€ããšããããšã¯åã§ãããšãããã黎èããªãããšããããšã¯äºå®ã§ãã fact2: æ ¹æ·±ããªãã¢ã³ã¹ã¿ãŒãå°è±¡æ·±ããªãã°é»Žèããªã fact3: ãã®ã·ãã·ãLv.96ã¯æ ¹æ·±ããŠå ããŠå°è±¡æ·±ã fact4: ãã®ãœã«ããœãLv.60ãæ
ãã ãããŠæŽã«æ ¹æ·±ããšããããã®ãŽã®ãŽãLv.98ã¯æ ¹æ·±ããªã fact5: ãã®ãœã«ããœãLv.60ã¯æ
ãã ãã fact6: ãããã®ã·ãã·ãLv.96ã¯éããªããšããã°ããã®ãã®ãã«ãLv.28ã¯é»Žèãã溶ãæãããšããããšã¯èª€ãã ; $hypothesis$ = ãã®ãŽã®ãŽãLv.98ã¯é»Žèã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({C}{fs} & {D}{fs}) -> ¬{C}{fs} fact2: (x): (¬{A}x & {B}x) -> ¬{C}x fact3: ({A}{a} & {B}{a}) fact4: ({F}{c} & {A}{c}) -> ¬{A}{b} fact5: {F}{c} fact6: ¬{E}{a} -> ¬({C}{fs} & {D}{fs}) ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã¿ãã¿ã«Lv.92ã¯è
ãæããªãäžæ¹ã§ããã£ãããããšããããšã¯æãç«ããªã | ¬(¬{AA}{aa} & {AB}{aa}) | fact1: ããã®ã¿ãã¿ã«Lv.92ã¯è
ãæããå ããŠããã¯ããã£ãããããšããããšã¯èª€ã£ãŠãã fact2: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ããè¥ããšããããããã¯è
ãæããªããããã£ãããããšããããšã¯åã fact3: ãããã®ã¿ãã¿ã«Lv.92ã¯ããè¥ããšãããããã®ã¿ãã¿ã«Lv.92ã¯è
ãæããŠãã€ããã¯ããã£ãããããšããããšã¯åœã fact4: ããè¥ããªãã¢ã³ã¹ã¿ãŒã¯è
ãæããªããããã£ããã fact5: ãã®ã¿ãã¿ã«Lv.92ã¯ããè¥ã fact6: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ããè¥ããšããããè
ãæããããã¯ããã£ãããããšããããšã¯èª€ãã§ãã | fact1: ¬({AA}{aa} & {AB}{aa}) fact2: (x): {A}x -> ¬(¬{AA}x & {AB}x) fact3: {A}{aa} -> ¬({AA}{aa} & {AB}{aa}) fact4: (x): ¬{A}x -> (¬{AA}x & {AB}x) fact5: {A}{aa} fact6: (x): {A}x -> ¬({AA}x & {AB}x) | [
"fact2 -> int1: ä»®ã«ãã®ã¿ãã¿ã«Lv.92ã¯ããè¥ããªããè
ãæããšããããšã¯ãªãäžæ¹ã§ããã£ãããããšããããšã¯èª€ã£ãŠãã; int1 & fact5 -> hypothesis;"
] | [
"fact2 -> int1: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact5 -> hypothesis;"
] | ãã®ã¿ãã¿ã«Lv.92ã¯è
ãæããªãäžæ¹ã§ããã¯ããã£ããã | (¬{AA}{aa} & {AB}{aa}) | [
"fact7 -> int2: ããããã®ã¿ãã¿ã«Lv.92ãããè¥ããªããšããã°è
ãæããªãããããããã£ããã;"
] | 4 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããã®ã¿ãã¿ã«Lv.92ã¯è
ãæããå ããŠããã¯ããã£ãããããšããããšã¯èª€ã£ãŠãã fact2: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ããè¥ããšããããããã¯è
ãæããªããããã£ãããããšããããšã¯åã fact3: ãããã®ã¿ãã¿ã«Lv.92ã¯ããè¥ããšãããããã®ã¿ãã¿ã«Lv.92ã¯è
ãæããŠãã€ããã¯ããã£ãããããšããããšã¯åœã fact4: ããè¥ããªãã¢ã³ã¹ã¿ãŒã¯è
ãæããªããããã£ããã fact5: ãã®ã¿ãã¿ã«Lv.92ã¯ããè¥ã fact6: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ããè¥ããšããããè
ãæããããã¯ããã£ãããããšããããšã¯èª€ãã§ãã ; $hypothesis$ = ããã®ã¿ãã¿ã«Lv.92ã¯è
ãæããªãäžæ¹ã§ããã£ãããããšããããšã¯æãç«ããªã ; $proof$ = | fact2 -> int1: ä»®ã«ãã®ã¿ãã¿ã«Lv.92ã¯ããè¥ããªããè
ãæããšããããšã¯ãªãäžæ¹ã§ããã£ãããããšããããšã¯èª€ã£ãŠãã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({AA}{aa} & {AB}{aa}) fact2: (x): {A}x -> ¬(¬{AA}x & {AB}x) fact3: {A}{aa} -> ¬({AA}{aa} & {AB}{aa}) fact4: (x): ¬{A}x -> (¬{AA}x & {AB}x) fact5: {A}{aa} fact6: (x): {A}x -> ¬({AA}x & {AB}x) ; $hypothesis$ = ¬(¬{AA}{aa} & {AB}{aa}) ; $proof$ = | fact2 -> int1: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ååããšããããšã¯çºçããªã | ¬{C} | fact1: ååããšããããšã¯çããªããšããããšã¯æ±ãé£ããšããããšããŸãã¯ãå¿èš±ãªããšããããšãèµ·ããããšããããšãäž¡æ¹ã«ããçºçãã fact2: ãå¿èš±ãªããšããããšãçºçããããšããããšã¯ååããšããããšãé»æ¢ãã fact3: æ±ãé£ããšããããšãçãã | fact1: ({A} v {B}) -> ¬{C} fact2: {B} -> ¬{C} fact3: {A} | [
"fact3 -> int1: æ±ãé£ããšããããšããããã¯å¿èš±ãªããšããããšããããã¯ã©ã¡ãããçãã; int1 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: ({A} v {B}); int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ååããšããããšã¯çããªããšããããšã¯æ±ãé£ããšããããšããŸãã¯ãå¿èš±ãªããšããããšãèµ·ããããšããããšãäž¡æ¹ã«ããçºçãã fact2: ãå¿èš±ãªããšããããšãçºçããããšããããšã¯ååããšããããšãé»æ¢ãã fact3: æ±ãé£ããšããããšãçãã ; $hypothesis$ = ååããšããããšã¯çºçããªã ; $proof$ = | fact3 -> int1: æ±ãé£ããšããããšããããã¯å¿èš±ãªããšããããšããããã¯ã©ã¡ãããçãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} v {B}) -> ¬{C} fact2: {B} -> ¬{C} fact3: {A} ; $hypothesis$ = ¬{C} ; $proof$ = | fact3 -> int1: ({A} v {B}); int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ã¡ãã¿ã«Lv.81ã¯ç
§ããåãããªã | ¬{C}{b} | fact1: ããä»®ã«ãã®ãŽããŽã¡ã
Lv.80ãç
§ããåããã°ãã®ã¿ã¡ãã¿ã«Lv.81ã¯ç
§ããåãããªã fact2: ãã®ãŽããŽã¡ã
Lv.80ã¯èª¬æãæããããã«ç¯ã fact3: ãã®ã¿ã¡ãã¿ã«Lv.81ã¯èª¬æãæã fact4: ããããã®ãŽããŽã¡ã
Lv.80ãç¯ãã°ãã®ã¿ã¡ãã¿ã«Lv.81ã¯ç
§ããåãã | fact1: {C}{a} -> ¬{C}{b} fact2: ({A}{a} & {B}{a}) fact3: {A}{b} fact4: {B}{a} -> {C}{b} | [
"fact2 -> int1: ãã®ãŽããŽã¡ã
Lv.80ã¯ç¯ã; int1 & fact4 -> hypothesis;"
] | [
"fact2 -> int1: {B}{a}; int1 & fact4 -> hypothesis;"
] | ãã®ã¿ã¡ãã¿ã«Lv.81ã¯ç
§ããåãããªã | ¬{C}{b} | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽã¡ã
Lv.80ãç
§ããåããã°ãã®ã¿ã¡ãã¿ã«Lv.81ã¯ç
§ããåãããªã fact2: ãã®ãŽããŽã¡ã
Lv.80ã¯èª¬æãæããããã«ç¯ã fact3: ãã®ã¿ã¡ãã¿ã«Lv.81ã¯èª¬æãæã fact4: ããããã®ãŽããŽã¡ã
Lv.80ãç¯ãã°ãã®ã¿ã¡ãã¿ã«Lv.81ã¯ç
§ããåãã ; $hypothesis$ = ãã®ã¿ã¡ãã¿ã«Lv.81ã¯ç
§ããåãããªã ; $proof$ = | fact2 -> int1: ãã®ãŽããŽã¡ã
Lv.80ã¯ç¯ã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} -> ¬{C}{b} fact2: ({A}{a} & {B}{a}) fact3: {A}{b} fact4: {B}{a} -> {C}{b} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact2 -> int1: {B}{a}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã«ãœãLv.58ã¯éãåããããã«ããã¯åžžé£ããã | ({A}{a} & {C}{a}) | fact1: ãã®ãœã«ãœãLv.58ã¯åé¿ããç ã fact2: ãã®ã·ãã·ãLv.88ã¯éãåã fact3: ããã®ãŽããŽã®Lv.5ã¯éãåãããŸãé
žãããšããããšã¯ç¢ºãã fact4: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ¢ãæããªããšããã°ãããã¯éãåããåžžé£ãããããšããããšã¯æãç«ããªã fact5: ãã®ãœã«ãœãLv.58ã¯éãåãããŸãããã¯æ¢ãæã fact6: ãã®ãœã®ãœãLv.53ã¯åžžé£ããã | fact1: ({CS}{a} & {AT}{a}) fact2: {A}{ck} fact3: ({A}{ed} & {AM}{ed}) fact4: (x): ¬{B}x -> ¬({A}x & {C}x) fact5: ({A}{a} & {B}{a}) fact6: {C}{dg} | [
"fact5 -> int1: ãã®ãœã«ãœãLv.58ã¯éãåã;"
] | [
"fact5 -> int1: {A}{a};"
] | ãã®ãŽããŽã®Lv.5ã¯é
žããŠããã«æµããæã | ({AM}{ed} & {HU}{ed}) | [
"fact7 -> int2: ããã®ãŽããŽã®Lv.5ã¯é
žãããšããããšã¯æ£ãã;"
] | 4 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãœã«ãœãLv.58ã¯åé¿ããç ã fact2: ãã®ã·ãã·ãLv.88ã¯éãåã fact3: ããã®ãŽããŽã®Lv.5ã¯éãåãããŸãé
žãããšããããšã¯ç¢ºãã fact4: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ¢ãæããªããšããã°ãããã¯éãåããåžžé£ãããããšããããšã¯æãç«ããªã fact5: ãã®ãœã«ãœãLv.58ã¯éãåãããŸãããã¯æ¢ãæã fact6: ãã®ãœã®ãœãLv.53ã¯åžžé£ããã ; $hypothesis$ = ãã®ãœã«ãœãLv.58ã¯éãåããããã«ããã¯åžžé£ããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({CS}{a} & {AT}{a}) fact2: {A}{ck} fact3: ({A}{ed} & {AM}{ed}) fact4: (x): ¬{B}x -> ¬({A}x & {C}x) fact5: ({A}{a} & {B}{a}) fact6: {C}{dg} ; $hypothesis$ = ({A}{a} & {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ã¿ãã¿ãLv.20äºä»¶ãçºçãã | {C} | fact1: ãŽããŽãLv.72äºä»¶ãèµ·ãã fact2: ã¿ãã¿ãLv.85äºä»¶ãçºçãã fact3: ãã¿ãã¿ãLv.20äºä»¶ã¯çããªãããšããããšã¯ãŽããŽãLv.72äºä»¶ãšã¿ãã¿ãLv.85äºä»¶ãçºçããã«åŒãèµ·ãããã | fact1: {A} fact2: {B} fact3: ({A} & {B}) -> ¬{C} | [
"fact1 & fact2 -> int1: ãŽããŽãLv.72äºä»¶ããã³ã¿ãã¿ãLv.85äºä»¶ãçºçãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãŽããŽãLv.72äºä»¶ãèµ·ãã fact2: ã¿ãã¿ãLv.85äºä»¶ãçºçãã fact3: ãã¿ãã¿ãLv.20äºä»¶ã¯çããªãããšããããšã¯ãŽããŽãLv.72äºä»¶ãšã¿ãã¿ãLv.85äºä»¶ãçºçããã«åŒãèµ·ãããã ; $hypothesis$ = ã¿ãã¿ãLv.20äºä»¶ãçºçãã ; $proof$ = | fact1 & fact2 -> int1: ãŽããŽãLv.72äºä»¶ããã³ã¿ãã¿ãLv.85äºä»¶ãçºçãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: {B} fact3: ({A} & {B}) -> ¬{C} ; $hypothesis$ = {C} ; $proof$ = | fact1 & fact2 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ãªã¿ãLv.72ã¯äœããããã«éçåãã | ({B}{a} & {C}{a}) | fact1: ãããšããã¢ã³ã¹ã¿ãŒã¯è¥ããªããšããããäœããéçåããããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ã¿ãªã¿ãLv.72ã¯éçåãã fact3: ãã®ãã«ã
ããªLv.32ã¯è¥ã fact4: ãã®ãã¡ãããLv.38ã¯ç¢ºå®åºæ¥ãããã€è¥ã fact5: ãã®ã¿ãªã¿ãLv.72ã¯è¥ã fact6: ãã®ã¿ãªã¿ãLv.72ã¯çŽ¡ã fact7: ãããã®ã¿ãªã¿ãLv.72ãè¥ããªãã°ãã®ã¿ãªã¿ãLv.72ã¯äœã | fact1: (x): ¬{A}x -> ¬({B}x & {C}x) fact2: {C}{a} fact3: {A}{em} fact4: ({P}{id} & {A}{id}) fact5: {A}{a} fact6: {IH}{a} fact7: {A}{a} -> {B}{a} | [
"fact7 & fact5 -> int1: ãã®ã¿ãªã¿ãLv.72ã¯äœã; int1 & fact2 -> hypothesis;"
] | [
"fact7 & fact5 -> int1: {B}{a}; int1 & fact2 -> hypothesis;"
] | ããã®ã¿ãªã¿ãLv.72ã¯äœããæŽã«éçåããããšããããšã¯æãç«ããªã | ¬({B}{a} & {C}{a}) | [
"fact8 -> int2: ãããã®ã¿ãªã¿ãLv.72ã¯è¥ããšããããšã¯ãªããšãããããã®ã¿ãªã¿ãLv.72ã¯äœãããã®äžéçåããããšããããšã¯ééãã ;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããšããã¢ã³ã¹ã¿ãŒã¯è¥ããªããšããããäœããéçåããããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ã¿ãªã¿ãLv.72ã¯éçåãã fact3: ãã®ãã«ã
ããªLv.32ã¯è¥ã fact4: ãã®ãã¡ãããLv.38ã¯ç¢ºå®åºæ¥ãããã€è¥ã fact5: ãã®ã¿ãªã¿ãLv.72ã¯è¥ã fact6: ãã®ã¿ãªã¿ãLv.72ã¯çŽ¡ã fact7: ãããã®ã¿ãªã¿ãLv.72ãè¥ããªãã°ãã®ã¿ãªã¿ãLv.72ã¯äœã ; $hypothesis$ = ãã®ã¿ãªã¿ãLv.72ã¯äœããããã«éçåãã ; $proof$ = | fact7 & fact5 -> int1: ãã®ã¿ãªã¿ãLv.72ã¯äœã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬({B}x & {C}x) fact2: {C}{a} fact3: {A}{em} fact4: ({P}{id} & {A}{id}) fact5: {A}{a} fact6: {IH}{a} fact7: {A}{a} -> {B}{a} ; $hypothesis$ = ({B}{a} & {C}{a}) ; $proof$ = | fact7 & fact5 -> int1: {B}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãåãæããšããããšãçºçãããå ããŠçæãããšããããšãèµ·ããããšããããšã¯æãç«ããªã | ¬({A} & {B}) | fact1: ãããçæãããšããããšã¯çããªããªãã°åãæããšããããšããã³æ°ä»ãé£ããšããããšäž¡æ¹ãçºçãã fact2: åãæããšããããšãçãã | fact1: ¬{B} -> ({A} & {JG}) fact2: {A} | [
"fact2 -> int1: åãæããšããããšãçãã;"
] | [
"fact2 -> int1: {A};"
] | æ°ä»ãé£ããšããããšãèµ·ãã | {JG} | [] | 6 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããçæãããšããããšã¯çããªããªãã°åãæããšããããšããã³æ°ä»ãé£ããšããããšäž¡æ¹ãçºçãã fact2: åãæããšããããšãçãã ; $hypothesis$ = ãåãæããšããããšãçºçãããå ããŠçæãããšããããšãèµ·ããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ({A} & {JG}) fact2: {A} ; $hypothesis$ = ¬({A} & {B}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯èŠãé£ã | {A}{a} | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èŠãé£ã fact2: ãããããšããã¢ã³ã¹ã¿ãŒã¯ä»èãæãäžæ¹ã§åŸ¡åœ¹ç«ã€ãšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããšç©å¯ãããªã fact3: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡åœ¹ç«ã€ãšãããšãç©å¯ãããšããããšã¯ãªãããã©ä»èãæãããšããããšã¯ééãã fact4: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŒè§£ããŸãããªããªãã°ãä»èãæããŠãã€ããã¯åŸ¡åœ¹ç«ã€ãšããããšã¯ãªãããšããããšã¯èª€ãã§ãã fact5: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡å¯ã fact6: ä»®ã«ãã®ã¿ãã¿ãªLv.68ãåŒè§£ããŸãããšããããã®ãœããœã¡ãLv.26ã¯åŸ¡åœ¹ç«ã€ | fact1: (x): {A}x fact2: (x): ¬({C}x & ¬{D}x) -> ¬{B}x fact3: (x): {D}x -> ¬(¬{B}x & {C}x) fact4: (x): ¬{E}x -> ¬({C}x & ¬{D}x) fact5: (x): {FJ}x fact6: {E}{c} -> {D}{b} | [
"fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èŠãé£ã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯èŠãé£ããªã | ¬{A}{a} | [
"fact7 -> int2: ãããã®ãœããœã¡ãLv.26ã¯åŸ¡åœ¹ç«ã€ãšããã°ããã®ãœããœã¡ãLv.26ã¯ç©å¯ãããªãäžæ¹ã§ä»èãæãããšããããšã¯æ¬åœã§ãªã;"
] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èŠãé£ã fact2: ãããããšããã¢ã³ã¹ã¿ãŒã¯ä»èãæãäžæ¹ã§åŸ¡åœ¹ç«ã€ãšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããšç©å¯ãããªã fact3: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡åœ¹ç«ã€ãšãããšãç©å¯ãããšããããšã¯ãªãããã©ä»èãæãããšããããšã¯ééãã fact4: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŒè§£ããŸãããªããªãã°ãä»èãæããŠãã€ããã¯åŸ¡åœ¹ç«ã€ãšããããšã¯ãªãããšããããšã¯èª€ãã§ãã fact5: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡å¯ã fact6: ä»®ã«ãã®ã¿ãã¿ãªLv.68ãåŒè§£ããŸãããšããããã®ãœããœã¡ãLv.26ã¯åŸ¡åœ¹ç«ã€ ; $hypothesis$ = ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯èŠãé£ã ; $proof$ = | fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èŠãé£ã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x fact2: (x): ¬({C}x & ¬{D}x) -> ¬{B}x fact3: (x): {D}x -> ¬(¬{B}x & {C}x) fact4: (x): ¬{E}x -> ¬({C}x & ¬{D}x) fact5: (x): {FJ}x fact6: {E}{c} -> {D}{b} ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœã«ãLv.64ã¯æ§ãæããšããããšã¯ãªã | ¬{C}{a} | fact1: ãã®ãœããœã«ãLv.64ãç®ãŸãããããšãããããã¯æ§ãæã fact2: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯å€æãé£ãããããéèšåºæ¥ãªãããšããããšã¯åã ãšãããéèšåºæ¥ã fact3: ãã®ããªãã«ãLv.56ãç®ãŸãããããšããããšã¯ãªãããããå ªãé£ããªããšããããã®ãœããœã«ãLv.64ã¯æ§ãæããªã fact4: å©çšãé£ããªãã¢ã³ã¹ã¿ãŒã¯ç®ãŸãããããªããŠå ããŠå ªãé£ããªã fact5: ãã®ãœããœã«ãLv.64ã¯å ªãé£ããŠç®ãŸãããã fact6: ããä»®ã«ãã®ã¿ã«ã
ã¿ãLv.34ãåäŸã£ãœãããããå©çšãé£ããªããªããã®ããªãã«ãLv.56ã¯å©çšãé£ããªã fact7: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãéèšåºæ¥ããšãããšåäŸã£ãœãäžæ¹ã§å©çšãé£ããšããããšã¯ãªã | fact1: {B}{a} -> {C}{a} fact2: (x): ¬({H}x & ¬{E}x) -> {E}x fact3: (¬{B}{b} & ¬{A}{b}) -> ¬{C}{a} fact4: (x): ¬{D}x -> (¬{B}x & ¬{A}x) fact5: ({A}{a} & {B}{a}) fact6: ({F}{c} & ¬{D}{c}) -> ¬{D}{b} fact7: (x): {E}x -> ({F}x & ¬{D}x) | [
"fact5 -> int1: ããã®ãœããœã«ãLv.64ã¯ç®ãŸããããããšããããšã¯çå®ã ; int1 & fact1 -> hypothesis;"
] | [
"fact5 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ãœããœã«ãLv.64ã¯æ§ãæããšããããšã¯ãªã | ¬{C}{a} | [
"fact11 -> int2: ä»®ã«ãã®ããªãã«ãLv.56ãå©çšãé£ããšããããšã¯ãªããšãããããã¯ç®ãŸãããããªããŠæŽã«ããã¯å ªãé£ããªã; fact9 -> int3: ãã®ã¿ã«ã
ã¿ãLv.34ãéèšåºæ¥ãã°ãã®ã¿ã«ã
ã¿ãLv.34ã¯åäŸã£ãœãäžæ¹ã§å©çšãé£ããªã; fact12 -> int4: ããä»®ã«ããã®ã¿ã«ã
ã¿ãLv.34ã¯å€æãé£ããã©éèšåºæ¥ãªãããšããããšã¯åœã§ãããªãã°ãã®ã¿ã«ã
ã¿ãLv.34ã¯éèšåºæ¥ã;"
] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãœããœã«ãLv.64ãç®ãŸãããããšãããããã¯æ§ãæã fact2: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯å€æãé£ãããããéèšåºæ¥ãªãããšããããšã¯åã ãšãããéèšåºæ¥ã fact3: ãã®ããªãã«ãLv.56ãç®ãŸãããããšããããšã¯ãªãããããå ªãé£ããªããšããããã®ãœããœã«ãLv.64ã¯æ§ãæããªã fact4: å©çšãé£ããªãã¢ã³ã¹ã¿ãŒã¯ç®ãŸãããããªããŠå ããŠå ªãé£ããªã fact5: ãã®ãœããœã«ãLv.64ã¯å ªãé£ããŠç®ãŸãããã fact6: ããä»®ã«ãã®ã¿ã«ã
ã¿ãLv.34ãåäŸã£ãœãããããå©çšãé£ããªããªããã®ããªãã«ãLv.56ã¯å©çšãé£ããªã fact7: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãéèšåºæ¥ããšãããšåäŸã£ãœãäžæ¹ã§å©çšãé£ããšããããšã¯ãªã ; $hypothesis$ = ãã®ãœããœã«ãLv.64ã¯æ§ãæããšããããšã¯ãªã ; $proof$ = | fact5 -> int1: ããã®ãœããœã«ãLv.64ã¯ç®ãŸããããããšããããšã¯çå®ã ; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> {C}{a} fact2: (x): ¬({H}x & ¬{E}x) -> {E}x fact3: (¬{B}{b} & ¬{A}{b}) -> ¬{C}{a} fact4: (x): ¬{D}x -> (¬{B}x & ¬{A}x) fact5: ({A}{a} & {B}{a}) fact6: ({F}{c} & ¬{D}{c}) -> ¬{D}{b} fact7: (x): {E}x -> ({F}x & ¬{D}x) ; $hypothesis$ = ¬{C}{a} ; $proof$ = | fact5 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.68ã¯ç²ã£ãœã | {C}{a} | fact1: ãã®ãŽããŽãLv.68ã¯è²ã£ãœããŠãã€ããã¯åããã | fact1: ({A}{a} & {B}{a}) | [
"fact1 -> int1: ãã®ãŽããŽãLv.68ã¯åããã;"
] | [
"fact1 -> int1: {B}{a};"
] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŽããŽãLv.68ã¯è²ã£ãœããŠãã€ããã¯åããã ; $hypothesis$ = ãã®ãŽããŽãLv.68ã¯ç²ã£ãœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} & {B}{a}) ; $hypothesis$ = {C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãåããé£ããšããããšããããã¯èªã¿é£ããšããããšããããã¯ã©ã¡ãããèµ·ããããšããããšã¯åœã | ¬({C} v {A}) | fact1: ãããå¯ãéãŸãããšã¯èµ·ãããªããšãããšãåããé£ããšããããšããããã¯èªã¿é£ããšããããšããŸãã¯ã©ã¡ãããçºçããããšããããšã¯ééãã§ãã fact2: èªã¿é£ããšããããšãšå¯ãéãŸãããšãçãã fact3: ãå¯ãéãŸãããšãèµ·ãããèš±å¯åºæ¥ãããšã¯èµ·ãããªãããšããããšã¯ééã£ãŠãããªãèš±å¯åºæ¥ãããšãèµ·ãã fact4: ããèªã¿é£ããšããããšã¯èµ·ãããªããšããããå¯ãéãŸãããšãçãããèš±å¯åºæ¥ãããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã | fact1: ¬{B} -> ¬({C} v {A}) fact2: ({A} & {B}) fact3: ¬({B} & ¬{CA}) -> {CA} fact4: ¬{A} -> ¬({B} & ¬{CA}) | [
"fact2 -> int1: èªã¿é£ããšããããšãçºçãã; int1 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 -> hypothesis;"
] | ãåããé£ããšããããšããããã¯èªã¿é£ããšããããšããããã¯ã©ã¡ãããèµ·ããããšããããšã¯åœã | ¬({C} v {A}) | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããå¯ãéãŸãããšã¯èµ·ãããªããšãããšãåããé£ããšããããšããããã¯èªã¿é£ããšããããšããŸãã¯ã©ã¡ãããçºçããããšããããšã¯ééãã§ãã fact2: èªã¿é£ããšããããšãšå¯ãéãŸãããšãçãã fact3: ãå¯ãéãŸãããšãèµ·ãããèš±å¯åºæ¥ãããšã¯èµ·ãããªãããšããããšã¯ééã£ãŠãããªãèš±å¯åºæ¥ãããšãèµ·ãã fact4: ããèªã¿é£ããšããããšã¯èµ·ãããªããšããããå¯ãéãŸãããšãçãããèš±å¯åºæ¥ãããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãåããé£ããšããããšããããã¯èªã¿é£ããšããããšããããã¯ã©ã¡ãããèµ·ããããšããããšã¯åœã ; $proof$ = | fact2 -> int1: èªã¿é£ããšããããšãçºçãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B} -> ¬({C} v {A}) fact2: ({A} & {B}) fact3: ¬({B} & ¬{CA}) -> {CA} fact4: ¬{A} -> ¬({B} & ¬{CA}) ; $hypothesis$ = ¬({C} v {A}) ; $proof$ = | fact2 -> int1: {A}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ãã¿ãLv.2ã¯èŠªãäžæ¹ã§ããã¯å ªãé£ããªã | ({AA}{aa} & ¬{AB}{aa}) | fact1: ããããã®ã¿ãã¿ãLv.2ãå¯ãããšãããšå ªãé£ããªã fact2: å¯ããã¢ã³ã¹ã¿ãŒã¯å ªãé£ããªã fact3: ããããã®ã¿ãã¿ã«ãLv.60ã¯å¯ãããšããããšã¯ãªããšãããšããã®ã¿ãã¿ãLv.2ã¯èŠªããã©å ªãé£ããªãããšããããšã¯æãç«ããªã fact4: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã欲深ããªããšããã°ããã¯å¯ããããã©æã¿èŸŒãŸãªã fact5: ããã®ã¿ãã¿ãLv.2ã¯å¯ããããšããããšã¯æãç«ã€ fact6: ãã®ã¿ãã¿ãLv.2ã¯å ªãé£ããªã fact7: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãå¯ãããªã芪ãããã©å ªãé£ããªã | fact1: {A}{aa} -> ¬{AB}{aa} fact2: (x): {A}x -> ¬{AB}x fact3: ¬{A}{a} -> ¬({AA}{aa} & ¬{AB}{aa}) fact4: (x): ¬{B}x -> ({A}x & ¬{HH}x) fact5: {A}{aa} fact6: ¬{AB}{aa} fact7: (x): {A}x -> ({AA}x & ¬{AB}x) | [
"fact7 -> int1: ããä»®ã«ããã®ã¿ãã¿ãLv.2ã¯å¯ããããšããããšã¯äºå®ã ãšããã°èŠªãããã©å ªãé£ããªã; int1 & fact5 -> hypothesis;"
] | [
"fact7 -> int1: {A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); int1 & fact5 -> hypothesis;"
] | ããã®ã¿ãã¿ãLv.2ã¯èŠªãããã©å ªãé£ããªãããšããããšã¯æãç«ããªã | ¬({AA}{aa} & ¬{AB}{aa}) | [] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ã¿ãã¿ãLv.2ãå¯ãããšãããšå ªãé£ããªã fact2: å¯ããã¢ã³ã¹ã¿ãŒã¯å ªãé£ããªã fact3: ããããã®ã¿ãã¿ã«ãLv.60ã¯å¯ãããšããããšã¯ãªããšãããšããã®ã¿ãã¿ãLv.2ã¯èŠªããã©å ªãé£ããªãããšããããšã¯æãç«ããªã fact4: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã欲深ããªããšããã°ããã¯å¯ããããã©æã¿èŸŒãŸãªã fact5: ããã®ã¿ãã¿ãLv.2ã¯å¯ããããšããããšã¯æãç«ã€ fact6: ãã®ã¿ãã¿ãLv.2ã¯å ªãé£ããªã fact7: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãå¯ãããªã芪ãããã©å ªãé£ããªã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.2ã¯èŠªãäžæ¹ã§ããã¯å ªãé£ããªã ; $proof$ = | fact7 -> int1: ããä»®ã«ããã®ã¿ãã¿ãLv.2ã¯å¯ããããšããããšã¯äºå®ã ãšããã°èŠªãããã©å ªãé£ããªã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{aa} -> ¬{AB}{aa} fact2: (x): {A}x -> ¬{AB}x fact3: ¬{A}{a} -> ¬({AA}{aa} & ¬{AB}{aa}) fact4: (x): ¬{B}x -> ({A}x & ¬{HH}x) fact5: {A}{aa} fact6: ¬{AB}{aa} fact7: (x): {A}x -> ({AA}x & ¬{AB}x) ; $hypothesis$ = ({AA}{aa} & ¬{AB}{aa}) ; $proof$ = | fact7 -> int1: {A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã®ãã®Lv.84ã¯æãæããªã | ¬{A}{b} | fact1: ãã®ãœããœã¡ãLv.83ã¯æŽã¿é£ã fact2: ãã®ãœããœã¡ãLv.83ã¯åãåŒããããšããããšã¯ãªãããã©æŽã¿é£ã fact3: ãã®ãœããœã¡ãLv.83ãå¡©èŸããšããã°ãã®ãã®ãã®Lv.84ã¯æãæã fact4: ããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯æŒããé£ããªããŠããã«ããã¯å¡©èŸããªãããšããããšã¯èª€ãã ãšãããããã¯æãæããªã fact5: ãã®ãã®ãã®Lv.84ã¯ããã©ã fact6: ãã®ãŸã¡ããŸã¡ã
Lv.83ã¯æŽã¿é£ã fact7: ä»®ã«ãã®ãœããœã¡ãLv.83ãåãåŒãããªããã©æŽã¿é£ããšããã°ããã®ãœããœã¡ãLv.83ã¯å¡©èŸãããšããããšã¯èª€ãã ãšããããšã¯ãªã fact8: ãã®ã¿ã¡ã
ã¿ãªLv.40ã¯çžå
¥ããªããã©æŽã¿é£ã | fact1: {AB}{a} fact2: (¬{AA}{a} & {AB}{a}) fact3: {B}{a} -> {A}{b} fact4: (x): ¬(¬{C}x & ¬{B}x) -> ¬{A}x fact5: {D}{b} fact6: {AB}{dp} fact7: (¬{AA}{a} & {AB}{a}) -> {B}{a} fact8: (¬{DL}{fn} & {AB}{fn}) | [
"fact7 & fact2 -> int1: ãã®ãœããœã¡ãLv.83ã¯å¡©èŸã; int1 & fact3 -> hypothesis;"
] | [
"fact7 & fact2 -> int1: {B}{a}; int1 & fact3 -> hypothesis;"
] | ãã®ãã®ãã®Lv.84ã¯æãæããªã | ¬{A}{b} | [
"fact9 -> int2: ãããããã®ãã®ãã®Lv.84ã¯æŒããé£ããªããŠãŸãå¡©èŸããªãããšããããšã¯åã§ãããªãã°ããã¯æãæããªã;"
] | 4 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãœããœã¡ãLv.83ã¯æŽã¿é£ã fact2: ãã®ãœããœã¡ãLv.83ã¯åãåŒããããšããããšã¯ãªãããã©æŽã¿é£ã fact3: ãã®ãœããœã¡ãLv.83ãå¡©èŸããšããã°ãã®ãã®ãã®Lv.84ã¯æãæã fact4: ããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯æŒããé£ããªããŠããã«ããã¯å¡©èŸããªãããšããããšã¯èª€ãã ãšãããããã¯æãæããªã fact5: ãã®ãã®ãã®Lv.84ã¯ããã©ã fact6: ãã®ãŸã¡ããŸã¡ã
Lv.83ã¯æŽã¿é£ã fact7: ä»®ã«ãã®ãœããœã¡ãLv.83ãåãåŒãããªããã©æŽã¿é£ããšããã°ããã®ãœããœã¡ãLv.83ã¯å¡©èŸãããšããããšã¯èª€ãã ãšããããšã¯ãªã fact8: ãã®ã¿ã¡ã
ã¿ãªLv.40ã¯çžå
¥ããªããã©æŽã¿é£ã ; $hypothesis$ = ãã®ãã®ãã®Lv.84ã¯æãæããªã ; $proof$ = | fact7 & fact2 -> int1: ãã®ãœããœã¡ãLv.83ã¯å¡©èŸã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {AB}{a} fact2: (¬{AA}{a} & {AB}{a}) fact3: {B}{a} -> {A}{b} fact4: (x): ¬(¬{C}x & ¬{B}x) -> ¬{A}x fact5: {D}{b} fact6: {AB}{dp} fact7: (¬{AA}{a} & {AB}{a}) -> {B}{a} fact8: (¬{DL}{fn} & {AB}{fn}) ; $hypothesis$ = ¬{A}{b} ; $proof$ = | fact7 & fact2 -> int1: {B}{a}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãããã«ã
Lv.93ã¯ç©çããã | {B}{a} | fact1: ãã®ãŽãªãŽãªLv.85ã¯çãæ·±ããªã fact2: ããããšããã¢ã³ã¹ã¿ãŒã¯åããé£ããªããšãããšããã®ãããã«ã
Lv.93ã¯ç©çãããããšããããšã¯ç¢ºãã§ãã fact3: ãããããã®ããããLv.45ã¯åããé£ããªãããããã ã ã£åºãããšããããšã¯åã§ãããªãã°ãã®ãããã«ã
Lv.93ã¯ã ã ã£åºããªãããšããããšã¯çå®ã§ãã fact4: ãã®ãããã«ã
Lv.93ã¯åããé£ã fact5: ããåããé£ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€ fact6: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ç©çããããšããããããã¯åããé£ããªããããã¯ã ã ã£åºãããšããããšã¯äºå®ã§ãªã fact7: äœããã®ã¢ã³ã¹ã¿ãŒã¯åããé£ã | fact1: ¬{C}{d} fact2: (x): ¬{A}x -> {B}{a} fact3: ¬(¬{A}{b} & {DT}{b}) -> ¬{DT}{a} fact4: {A}{a} fact5: (Ex): ¬{A}x fact6: (x): {B}x -> ¬(¬{A}x & {DT}x) fact7: (Ex): {A}x | [
"fact5 -> int1: ããåããé£ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€; int1 & fact2 -> hypothesis;"
] | [
"fact5 -> int1: (Ex): ¬{A}x; int1 & fact2 -> hypothesis;"
] | ãã ã ã£åºããªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ¬{DT}x | [
"fact8 -> int2: ä»®ã«ãã®ããããLv.45ã¯ç©çããããšãããããã®ããããLv.45ã¯åããé£ããªãããããã ã ã£åºãããšããããšã¯æãç«ããªã; fact10 -> int3: ãçãæ·±ããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽãªãŽãªLv.85ã¯çãæ·±ããªã fact2: ããããšããã¢ã³ã¹ã¿ãŒã¯åããé£ããªããšãããšããã®ãããã«ã
Lv.93ã¯ç©çãããããšããããšã¯ç¢ºãã§ãã fact3: ãããããã®ããããLv.45ã¯åããé£ããªãããããã ã ã£åºãããšããããšã¯åã§ãããªãã°ãã®ãããã«ã
Lv.93ã¯ã ã ã£åºããªãããšããããšã¯çå®ã§ãã fact4: ãã®ãããã«ã
Lv.93ã¯åããé£ã fact5: ããåããé£ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€ fact6: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ç©çããããšããããããã¯åããé£ããªããããã¯ã ã ã£åºãããšããããšã¯äºå®ã§ãªã fact7: äœããã®ã¢ã³ã¹ã¿ãŒã¯åããé£ã ; $hypothesis$ = ãã®ãããã«ã
Lv.93ã¯ç©çããã ; $proof$ = | fact5 -> int1: ããåããé£ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{C}{d} fact2: (x): ¬{A}x -> {B}{a} fact3: ¬(¬{A}{b} & {DT}{b}) -> ¬{DT}{a} fact4: {A}{a} fact5: (Ex): ¬{A}x fact6: (x): {B}x -> ¬(¬{A}x & {DT}x) fact7: (Ex): {A}x ; $hypothesis$ = {B}{a} ; $proof$ = | fact5 -> int1: (Ex): ¬{A}x; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãä»®ã«ãã¿ããªããšããããã£ãããããå ããŠåã£ãœããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ¬{A}x -> ({AA}x & {AB}x) | fact1: ä»®ã«ãã®ãœã¡ããœãLv.36ããã¿ããšããããšã¯ãªããªãã°ããã¯ãã£ãããããå ããŠåã£ãœã fact2: ãããããã®ãœã¡ããœãLv.36ã¯ãã¿ãããšããããšã¯äºå®ã§ãããšãããšãã®ãœã¡ããœãLv.36ã¯ãã£ãããããæŽã«åã£ãœã fact3: ããã¿ããªããšããã°åã£ãœããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ããããæåºããªããšãããšæº¶ãæããäžæ³ææ£ãããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: ¬{A}{aa} -> ({AA}{aa} & {AB}{aa}) fact2: {A}{aa} -> ({AA}{aa} & {AB}{aa}) fact3: (Ex): ¬{A}x -> {AB}x fact4: (Ex): ¬{CQ}x -> ({HH}x & {FL}x) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãã®ãœã¡ããœãLv.36ããã¿ããšããããšã¯ãªããªãã°ããã¯ãã£ãããããå ããŠåã£ãœã fact2: ãããããã®ãœã¡ããœãLv.36ã¯ãã¿ãããšããããšã¯äºå®ã§ãããšãããšãã®ãœã¡ããœãLv.36ã¯ãã£ãããããæŽã«åã£ãœã fact3: ããã¿ããªããšããã°åã£ãœããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ããããæåºããªããšãããšæº¶ãæããäžæ³ææ£ãããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ãä»®ã«ãã¿ããªããšããããã£ãããããå ããŠåã£ãœããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{aa} -> ({AA}{aa} & {AB}{aa}) fact2: {A}{aa} -> ({AA}{aa} & {AB}{aa}) fact3: (Ex): ¬{A}x -> {AB}x fact4: (Ex): ¬{CQ}x -> ({HH}x & {FL}x) ; $hypothesis$ = (Ex): ¬{A}x -> ({AA}x & {AB}x) ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ãã¿ãLv.99ã¯åºã | {AB}{a} | fact1: ãã®ã¿ãã¿ãLv.99ã¯è³æãé£ããªã fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.99ã¯æªãŸãªããšãããã課éããªãããšããããšã¯æãç«ã€ fact3: ããã®ã¿ãã¿ãLv.99ã¯æªãŸãªãããšããããšã¯çå®ã§ãã fact4: ä»®ã«ãã®ã¿ãã¿ãLv.99ãæªãŸãªããªã課éãããšããããšã¯ãªããã©åºã fact5: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯æªãŸãªããã©åºæ·±ãããšããããšã¯ééãã§ãããšãããšãåºããªãããšããããšã¯äºå®ã§ãã fact6: ä»®ã«ãã®ã¿ãã¿ãLv.99ã¯éèããªããªãã°ãåºããªããããã¯ãã£ããããšããããšã¯æ¬åœã | fact1: ¬{DO}{a} fact2: ¬{A}{a} -> ¬{AA}{a} fact3: ¬{A}{a} fact4: ¬{A}{a} -> (¬{AA}{a} & {AB}{a}) fact5: (x): ¬(¬{A}x & {B}x) -> ¬{AB}x fact6: ¬{DI}{a} -> (¬{AB}{a} & {DJ}{a}) | [
"fact4 & fact3 -> int1: ãã®ã¿ãã¿ãLv.99ã¯èª²éããªããåºã; int1 -> hypothesis;"
] | [
"fact4 & fact3 -> int1: (¬{AA}{a} & {AB}{a}); int1 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.99ã¯åºããªã | ¬{AB}{a} | [
"fact7 -> int2: ä»®ã«ããã®ã¿ãã¿ãLv.99ã¯æªãŸãªãäžæ¹ã§åºæ·±ãããšããããšã¯æãç«ããªããšãããšãã®ã¿ãã¿ãLv.99ã¯åºããªã;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ãã¿ãLv.99ã¯è³æãé£ããªã fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.99ã¯æªãŸãªããšãããã課éããªãããšããããšã¯æãç«ã€ fact3: ããã®ã¿ãã¿ãLv.99ã¯æªãŸãªãããšããããšã¯çå®ã§ãã fact4: ä»®ã«ãã®ã¿ãã¿ãLv.99ãæªãŸãªããªã課éãããšããããšã¯ãªããã©åºã fact5: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯æªãŸãªããã©åºæ·±ãããšããããšã¯ééãã§ãããšãããšãåºããªãããšããããšã¯äºå®ã§ãã fact6: ä»®ã«ãã®ã¿ãã¿ãLv.99ã¯éèããªããªãã°ãåºããªããããã¯ãã£ããããšããããšã¯æ¬åœã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.99ã¯åºã ; $proof$ = | fact4 & fact3 -> int1: ãã®ã¿ãã¿ãLv.99ã¯èª²éããªããåºã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{DO}{a} fact2: ¬{A}{a} -> ¬{AA}{a} fact3: ¬{A}{a} fact4: ¬{A}{a} -> (¬{AA}{a} & {AB}{a}) fact5: (x): ¬(¬{A}x & {B}x) -> ¬{AB}x fact6: ¬{DI}{a} -> (¬{AB}{a} & {DJ}{a}) ; $hypothesis$ = {AB}{a} ; $proof$ = | fact4 & fact3 -> int1: (¬{AA}{a} & {AB}{a}); int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã«ã
ããLv.72ã¯ãªãã¬ãã·ã¥åºæ¥ãªã | ¬{C}{a} | fact1: ç©ãé£ããªãã¢ã³ã¹ã¿ãŒã¯æŽãããŸãããæ°çµ¶ãããšããããšã¯ãªã fact2: ããã®ãã«ã
ããLv.72ã¯çãããšããããšã¯æ¬åœã fact3: ä»®ã«ãã®ãã«ã
ããLv.72ãåãè¿ãããããã¯çãããããã¯äž¡æ¹ãšãã§ãããªããã®ãã«ã
ããLv.72ã¯ãªãã¬ãã·ã¥åºæ¥ãªã fact4: ãããã®ãã«ã
ããLv.72ãæ°çµ¶ããªããšããã°ãã®ãŸã¡ããŸã¡ã
Lv.83ã¯çãããã€ããã¯æãæã fact5: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæŽãããŸãããªãã°æãæããªã fact6: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç©ãé£ããªãã棹差ã fact7: ããããšããã¢ã³ã¹ã¿ãŒãæ°çµ¶ããªããªãããã¯æãæããªã | fact1: (x): ¬{G}x -> ({F}x v ¬{E}x) fact2: {B}{a} fact3: ({A}{a} v {B}{a}) -> ¬{C}{a} fact4: ¬{E}{a} -> ({B}{g} & {D}{g}) fact5: (x): {F}x -> ¬{D}x fact6: (x): (¬{G}x & {H}x) fact7: (x): ¬{E}x -> ¬{D}x | [
"fact2 -> int1: ãã®ãã«ã
ããLv.72ã¯åãè¿ããçãããããã¯äž¡æ¹ãšãã ; int1 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: ({A}{a} v {B}{a}); int1 & fact3 -> hypothesis;"
] | ãã®ãŸã¡ããŸã¡ã
Lv.83ã¯ãªãã¬ãã·ã¥åºæ¥ãªã | ¬{C}{g} | [] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ç©ãé£ããªãã¢ã³ã¹ã¿ãŒã¯æŽãããŸãããæ°çµ¶ãããšããããšã¯ãªã fact2: ããã®ãã«ã
ããLv.72ã¯çãããšããããšã¯æ¬åœã fact3: ä»®ã«ãã®ãã«ã
ããLv.72ãåãè¿ãããããã¯çãããããã¯äž¡æ¹ãšãã§ãããªããã®ãã«ã
ããLv.72ã¯ãªãã¬ãã·ã¥åºæ¥ãªã fact4: ãããã®ãã«ã
ããLv.72ãæ°çµ¶ããªããšããã°ãã®ãŸã¡ããŸã¡ã
Lv.83ã¯çãããã€ããã¯æãæã fact5: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæŽãããŸãããªãã°æãæããªã fact6: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç©ãé£ããªãã棹差ã fact7: ããããšããã¢ã³ã¹ã¿ãŒãæ°çµ¶ããªããªãããã¯æãæããªã ; $hypothesis$ = ãã®ãã«ã
ããLv.72ã¯ãªãã¬ãã·ã¥åºæ¥ãªã ; $proof$ = | fact2 -> int1: ãã®ãã«ã
ããLv.72ã¯åãè¿ããçãããããã¯äž¡æ¹ãšãã ; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{G}x -> ({F}x v ¬{E}x) fact2: {B}{a} fact3: ({A}{a} v {B}{a}) -> ¬{C}{a} fact4: ¬{E}{a} -> ({B}{g} & {D}{g}) fact5: (x): {F}x -> ¬{D}x fact6: (x): (¬{G}x & {H}x) fact7: (x): ¬{E}x -> ¬{D}x ; $hypothesis$ = ¬{C}{a} ; $proof$ = | fact2 -> int1: ({A}{a} v {B}{a}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ãã¿ãLv.58ã¯åããªãäžæ¹ã§ãã©ã³ã¹è¯ãããšããããšã¯åã | ¬(¬{B}{a} & {C}{a}) | fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯åã fact2: ããã©ã³ã¹è¯ããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããä¹
ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ã§ãã fact4: ããããä¹
ãããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ã¿ãã¿ãLv.58ã¯åããªãããã©ãã©ã³ã¹è¯ãããšããããšã¯æãç«ããªã fact5: ããã¢ã³ã¹ã¿ãŒãä¹
ãããšããã°ããã¯èŒããã fact6: ããã®ããªãã¡ã
Lv.40ã¯åããªãããããåãæãããšããããšã¯äºå®ãšç°ãªã | fact1: (Ex): {B}x fact2: (Ex): {C}x fact3: (Ex): {A}x fact4: (x): {A}x -> ¬(¬{B}{a} & {C}{a}) fact5: (x): {A}x -> {GF}x fact6: ¬(¬{B}{gs} & {CI}{gs}) | [
"fact3 -> int1: ããä¹
ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ã§ãã; int1 & fact4 -> hypothesis;"
] | [
"fact3 -> int1: (Ex): {A}x; int1 & fact4 -> hypothesis;"
] | èŒãããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): {GF}x | [
"fact7 -> int2: ããä»®ã«ãã®ã¿ãã¿ãLv.58ãä¹
ãããšããã°ããã¯èŒããã;"
] | 4 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯åã fact2: ããã©ã³ã¹è¯ããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããä¹
ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ã§ãã fact4: ããããä¹
ãããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ã¿ãã¿ãLv.58ã¯åããªãããã©ãã©ã³ã¹è¯ãããšããããšã¯æãç«ããªã fact5: ããã¢ã³ã¹ã¿ãŒãä¹
ãããšããã°ããã¯èŒããã fact6: ããã®ããªãã¡ã
Lv.40ã¯åããªãããããåãæãããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = ããã®ã¿ãã¿ãLv.58ã¯åããªãäžæ¹ã§ãã©ã³ã¹è¯ãããšããããšã¯åã ; $proof$ = | fact3 -> int1: ããä¹
ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ã§ãã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (Ex): {B}x fact2: (Ex): {C}x fact3: (Ex): {A}x fact4: (x): {A}x -> ¬(¬{B}{a} & {C}{a}) fact5: (x): {A}x -> {GF}x fact6: ¬(¬{B}{gs} & {CI}{gs}) ; $hypothesis$ = ¬(¬{B}{a} & {C}{a}) ; $proof$ = | fact3 -> int1: (Ex): {A}x; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã¡ã
ãã«ãLv.99ã¯æ°ä»ãé£ã | {A}{a} | fact1: ãããšããã¢ã³ã¹ã¿ãŒã¯æ°ä»ãé£ããšãããšãããã¯å䜵ãæããªããããã¯çéãé£ãããšããããšã¯ééãã§ãã fact2: å転ãå§ããªããŠããã«ããã¯å䜵ãæããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ãå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯å¿ããªããå ããŠåŸ¡æãããšããããšã¯åœã§ãªã | fact1: (x): {A}x -> ¬(¬{AB}x & {AU}x) fact2: (x): ¬(¬{AA}x & {AB}x) fact3: (x): ({B}x & {C}x) | [
"fact2 -> int1: ããã®ãœã«ããœãªLv.88ã¯å転ãå§ããªãããã©å䜵ãæãããšããããšã¯åœã§ãã;"
] | [
"fact2 -> int1: ¬(¬{AA}{aa} & {AB}{aa});"
] | ããã®ãŸããŸã«ãLv.42ã¯å䜵ãæããªãããã©çéãé£ãããšããããšã¯ééã£ãŠãã | ¬(¬{AB}{em} & {AU}{em}) | [
"fact5 -> int2: ãã®ãã¡ã
ãã«ãLv.99ã¯æ°ä»ãé£ããšããã°ãå䜵ãæããªããã©çéãé£ãããšããããšã¯æãç«ããªã; fact4 -> int3: ãã®ãã¡ã
ãã«ãLv.99ã¯å¿ããªããŠããã¯åŸ¡æã; int3 -> int4: ãã®ãã¡ã
ãã«ãLv.99ã¯å¿ããªã;"
] | 6 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããšããã¢ã³ã¹ã¿ãŒã¯æ°ä»ãé£ããšãããšãããã¯å䜵ãæããªããããã¯çéãé£ãããšããããšã¯ééãã§ãã fact2: å転ãå§ããªããŠããã«ããã¯å䜵ãæããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ãå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯å¿ããªããå ããŠåŸ¡æãããšããããšã¯åœã§ãªã ; $hypothesis$ = ãã®ãã¡ã
ãã«ãLv.99ã¯æ°ä»ãé£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {A}x -> ¬(¬{AB}x & {AU}x) fact2: (x): ¬(¬{AA}x & {AB}x) fact3: (x): ({B}x & {C}x) ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ããããLv.89ã¯éãããŸãã¯èŠªãã | ({B}{b} v {C}{b}) | fact1: ãã®ãŽããŽã«ãLv.49ã¯æ¢ãç¡ã fact2: ãããã®ãŽããŽã«ãLv.49ãæ¢ãç¡ããšããããã®ããããLv.89ã¯éã | fact1: {A}{a} fact2: {A}{a} -> {B}{b} | [
"fact2 & fact1 -> int1: ãã®ããããLv.89ã¯éã; int1 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: {B}{b}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŽããŽã«ãLv.49ã¯æ¢ãç¡ã fact2: ãããã®ãŽããŽã«ãLv.49ãæ¢ãç¡ããšããããã®ããããLv.89ã¯éã ; $hypothesis$ = ãã®ããããLv.89ã¯éãããŸãã¯èŠªãã ; $proof$ = | fact2 & fact1 -> int1: ãã®ããããLv.89ã¯éã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> {B}{b} ; $hypothesis$ = ({B}{b} v {C}{b}) ; $proof$ = | fact2 & fact1 -> int1: {B}{b}; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸã¡ãLv.61ã¯äœãé£ããŠæŽ»çšãæã | ({B}{a} & {C}{a}) | fact1: ãã®ãŸããŸã¡ãLv.61ã¯æŽ»çšãæã fact2: 楜ãããããŸãã«è³ãããªãã¢ã³ã¹ã¿ãŒã¯åã¡æããªã fact3: ãã®ãŸããŸã¡ãLv.61ã¯åºãæã fact4: ãã®ãŸããŸã¡ãLv.61ã¯åºãæãããã€ããã¯äœãé£ã fact5: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¥œãããæŽã«ããã¯è³ãããªã | fact1: {C}{a} fact2: (x): ({F}x & ¬{E}x) -> ¬{D}x fact3: {A}{a} fact4: ({A}{a} & {B}{a}) fact5: (x): ({F}x & ¬{E}x) | [
"fact4 -> int1: ããã®ãŸããŸã¡ãLv.61ã¯äœãé£ãããšããããšã¯çå®ã ; int1 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ããã®ãŸããŸã¡ãLv.61ã¯äœãé£ããŠããã«ããã¯æŽ»çšãæãããšããããšã¯æãç«ããªã | ¬({B}{a} & {C}{a}) | [
"fact7 -> int2: ããä»®ã«ãã®ãŸããŸãLv.40ã¯æ¥œãããã©è³ãããªããšããã°åã¡æããªã; fact6 -> int3: ãã®ãŸããŸãLv.40ã¯æ¥œããããããããã¯è³ãããšããããšã¯ãªã; int2 & int3 -> int4: ãã®ãŸããŸãLv.40ã¯åã¡æããªã;"
] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸã¡ãLv.61ã¯æŽ»çšãæã fact2: 楜ãããããŸãã«è³ãããªãã¢ã³ã¹ã¿ãŒã¯åã¡æããªã fact3: ãã®ãŸããŸã¡ãLv.61ã¯åºãæã fact4: ãã®ãŸããŸã¡ãLv.61ã¯åºãæãããã€ããã¯äœãé£ã fact5: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¥œãããæŽã«ããã¯è³ãããªã ; $hypothesis$ = ãã®ãŸããŸã¡ãLv.61ã¯äœãé£ããŠæŽ»çšãæã ; $proof$ = | fact4 -> int1: ããã®ãŸããŸã¡ãLv.61ã¯äœãé£ãããšããããšã¯çå®ã ; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{a} fact2: (x): ({F}x & ¬{E}x) -> ¬{D}x fact3: {A}{a} fact4: ({A}{a} & {B}{a}) fact5: (x): ({F}x & ¬{E}x) ; $hypothesis$ = ({B}{a} & {C}{a}) ; $proof$ = | fact4 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ãã¿ãLv.68ã¯äœãé£ããŠãã€å«å³ã£ãœãããšããããšã¯åœã | ¬({B}{a} & {A}{a}) | fact1: ããããã®ã¿ãã¿ãLv.68ã¯çããªãããã©æ¯éç¡ããšãããäœãé£ã fact2: ãããã®ãŽã¡ããŽã«ãLv.84ãå«å³ã£ãœãããããã¯æ¯éç¡ããªãããŸãã¯äž¡æ¹ã§ãããªãã°ãã®ã¿ãã¿ãLv.68ã¯æ¯éç¡ã fact3: ãã®ã¿ãã¿ãLv.68ã¯å«å³ã£ãœã | fact1: (¬{AA}{a} & {AB}{a}) -> {B}{a} fact2: ({A}{b} v ¬{AB}{b}) -> {AB}{a} fact3: {A}{a} | [] | [] | ããã®ã¿ãã¿ãLv.68ã¯æšç¥ããããŸãæ¯éç¡ãããšããããšã¯çå®ã | ({JF}{a} & {AB}{a}) | [] | 5 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ã¿ãã¿ãLv.68ã¯çããªãããã©æ¯éç¡ããšãããäœãé£ã fact2: ãããã®ãŽã¡ããŽã«ãLv.84ãå«å³ã£ãœãããããã¯æ¯éç¡ããªãããŸãã¯äž¡æ¹ã§ãããªãã°ãã®ã¿ãã¿ãLv.68ã¯æ¯éç¡ã fact3: ãã®ã¿ãã¿ãLv.68ã¯å«å³ã£ãœã ; $hypothesis$ = ããã®ã¿ãã¿ãLv.68ã¯äœãé£ããŠãã€å«å³ã£ãœãããšããããšã¯åœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA}{a} & {AB}{a}) -> {B}{a} fact2: ({A}{b} v ¬{AB}{b}) -> {AB}{a} fact3: {A}{a} ; $hypothesis$ = ¬({B}{a} & {A}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã¡ããã¡ãLv.71ã¯ããã©èããªã | ¬{C}{a} | fact1: ãã®ã¿ã¡ãã¿ã«ãLv.79ã¯ããã©èã fact2: ãã®ãã¡ããã¡ãLv.71ã¯æäœãæã fact3: ããä»®ã«ãã®ã·ã¡ãã·ãLv.72ã¯åž°äº¬ãããšãããšããã®ãã¡ããã¡ãLv.71ã¯ããã©èãããšããããšã¯èª€ãã ãšããããšã¯ãªã fact4: ãã®ãã¡ããã¡ãLv.71ã¯åž°äº¬ãã fact5: ããããã®ããããLv.27ã¯å¥œããããšããã°ãããã¯ããããšãªãããšããããšã¯æ¬åœã§ãã | fact1: {C}{ck} fact2: {B}{a} fact3: {A}{b} -> {C}{a} fact4: {A}{a} fact5: {D}{ak} -> {HP}{ak} | [
"fact4 & fact2 -> int1: ãã®ãã¡ããã¡ãLv.71ã¯åž°äº¬ãããããã¯æäœãæã;"
] | [
"fact4 & fact2 -> int1: ({A}{a} & {B}{a});"
] | ãã®ããããLv.27ã¯ããããšãªããããŸãã«é æ
®ãã | ({HP}{ak} & {FQ}{ak}) | [] | 4 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã¿ã¡ãã¿ã«ãLv.79ã¯ããã©èã fact2: ãã®ãã¡ããã¡ãLv.71ã¯æäœãæã fact3: ããä»®ã«ãã®ã·ã¡ãã·ãLv.72ã¯åž°äº¬ãããšãããšããã®ãã¡ããã¡ãLv.71ã¯ããã©èãããšããããšã¯èª€ãã ãšããããšã¯ãªã fact4: ãã®ãã¡ããã¡ãLv.71ã¯åž°äº¬ãã fact5: ããããã®ããããLv.27ã¯å¥œããããšããã°ãããã¯ããããšãªãããšããããšã¯æ¬åœã§ãã ; $hypothesis$ = ãã®ãã¡ããã¡ãLv.71ã¯ããã©èããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{ck} fact2: {B}{a} fact3: {A}{b} -> {C}{a} fact4: {A}{a} fact5: {D}{ak} -> {HP}{ak} ; $hypothesis$ = ¬{C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããããã€ããšããããšã¯çºçããªããããã«ããã°ã©ã ããããšã¯èµ·ããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ | ¬(¬{B} & ¬{A}) | fact1: ããããã°ã©ã ããããšã¯èµ·ããªãããšããããšã¯ãããã€ããšããããšã¯çºçããªãããããããã°ã©ã ããããšã¯çããªãããšããããšãããããããšããããšã¯äºå®ã fact2: ãã·ã¡ã
ã·ãLv.61äºä»¶ã¯èµ·ãããªãããšããããšã¯ãã·ã«ã
ã·ãLv.68äºä»¶ãçããªããŠããŸãã«ã·ã¡ã
ã·ãLv.61äºä»¶ã¯èµ·ãããªãããšããããšã«ç¹ãã | fact1: ¬{A} -> (¬{B} & ¬{A}) fact2: ¬{DQ} -> (¬{FP} & ¬{DQ}) | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã°ã©ã ããããšã¯èµ·ããªãããšããããšã¯ãããã€ããšããããšã¯çºçããªãããããããã°ã©ã ããããšã¯çããªãããšããããšãããããããšããããšã¯äºå®ã fact2: ãã·ã¡ã
ã·ãLv.61äºä»¶ã¯èµ·ãããªãããšããããšã¯ãã·ã«ã
ã·ãLv.68äºä»¶ãçããªããŠããŸãã«ã·ã¡ã
ã·ãLv.61äºä»¶ã¯èµ·ãããªãããšããããšã«ç¹ãã ; $hypothesis$ = ããããã€ããšããããšã¯çºçããªããããã«ããã°ã©ã ããããšã¯èµ·ããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A} -> (¬{B} & ¬{A}) fact2: ¬{DQ} -> (¬{FP} & ¬{DQ}) ; $hypothesis$ = ¬(¬{B} & ¬{A}) ; $proof$ = | __UNKNOWN__ |
0.3 | ã£æ©ããšããããšãçããããŸã該åœããããšãçºçãã | ({A} & {C}) | fact1: çœã£ãœããšããããšãèµ·ãã fact2: ã£æ©ããšããããšãèµ·ãããã¿ãã¿ã®Lv.56äºä»¶ãçºçãã fact3: 厩ãæããšããããšãèµ·ããããã®äžãšãããšããããšãçºçãã fact4: ã¿ã«ãã¿ãLv.12äºä»¶ãèµ·ãã fact5: ãã¿ãã¿ã®Lv.56äºä»¶ãçºçããããšããããšã¯çå®ã§ãã fact6: 該åœããããšãçºçãã fact7: é¡ããããšããã³å®ãæããšããããšãèµ·ãã | fact1: {HM} fact2: ({A} & {B}) fact3: ({BE} & {AE}) fact4: {CF} fact5: {B} fact6: {C} fact7: ({HK} & {JG}) | [
"fact2 -> int1: ã£æ©ããšããããšãçºçãã; int1 & fact6 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact6 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | null | PROVED | null | $facts$ = fact1: çœã£ãœããšããããšãèµ·ãã fact2: ã£æ©ããšããããšãèµ·ãããã¿ãã¿ã®Lv.56äºä»¶ãçºçãã fact3: 厩ãæããšããããšãèµ·ããããã®äžãšãããšããããšãçºçãã fact4: ã¿ã«ãã¿ãLv.12äºä»¶ãèµ·ãã fact5: ãã¿ãã¿ã®Lv.56äºä»¶ãçºçããããšããããšã¯çå®ã§ãã fact6: 該åœããããšãçºçãã fact7: é¡ããããšããã³å®ãæããšããããšãèµ·ãã ; $hypothesis$ = ã£æ©ããšããããšãçããããŸã該åœããããšãçºçãã ; $proof$ = | fact2 -> int1: ã£æ©ããšããããšãçºçãã; int1 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {HM} fact2: ({A} & {B}) fact3: ({BE} & {AE}) fact4: {CF} fact5: {B} fact6: {C} fact7: ({HK} & {JG}) ; $hypothesis$ = ({A} & {C}) ; $proof$ = | fact2 -> int1: {A}; int1 & fact6 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã¡ãã·ã«ã
Lv.72ã¯ä»è·åºæ¥ãªã | ¬{A}{b} | fact1: ããã®ãŽããŽãLv.93ã¯å¯ããããšããããšã¯æ¬åœãªãããã¯ä»è·åºæ¥ã fact2: ãã®ãŽããŽãLv.93ãå³ã€ãäžæ¹ã§ä»è·åºæ¥ãªããšãããšãã®ã·ã¡ãã·ã«ã
Lv.72ã¯è
ç²æç¡ã fact3: ãããã®ã·ã¡ãã·ã«ã
Lv.72ãè
ç²æç¡ããªããã®ã·ã¡ãã·ã«ã
Lv.72ã¯ä»è·åºæ¥ã fact4: ããä»®ã«ãã®ãŽããŽãLv.93ãå¯ãããå³ã€ããªããªãã°ãã®ã·ã¡ãã·ã«ã
Lv.72ã¯è
ç²æç¡ã fact5: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãã现ããšãããä»è·åºæ¥ãªã fact6: ãã®ãŽããŽãLv.93ã¯å³ã€ããªã | fact1: {AA}{a} -> {A}{a} fact2: ({AB}{a} & ¬{A}{a}) -> {B}{b} fact3: {B}{b} -> {A}{b} fact4: ({AA}{a} & ¬{AB}{a}) -> {B}{b} fact5: (x): {C}x -> ¬{A}x fact6: ¬{AB}{a} | [] | [] | ãã®ã·ã¡ãã·ã«ã
Lv.72ã¯ä»è·åºæ¥ãªã | ¬{A}{b} | [
"fact7 -> int1: ãã®ãŽããŽãLv.93ãã现ããªãããã¯ä»è·åºæ¥ãªã;"
] | 5 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããã®ãŽããŽãLv.93ã¯å¯ããããšããããšã¯æ¬åœãªãããã¯ä»è·åºæ¥ã fact2: ãã®ãŽããŽãLv.93ãå³ã€ãäžæ¹ã§ä»è·åºæ¥ãªããšãããšãã®ã·ã¡ãã·ã«ã
Lv.72ã¯è
ç²æç¡ã fact3: ãããã®ã·ã¡ãã·ã«ã
Lv.72ãè
ç²æç¡ããªããã®ã·ã¡ãã·ã«ã
Lv.72ã¯ä»è·åºæ¥ã fact4: ããä»®ã«ãã®ãŽããŽãLv.93ãå¯ãããå³ã€ããªããªãã°ãã®ã·ã¡ãã·ã«ã
Lv.72ã¯è
ç²æç¡ã fact5: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãã现ããšãããä»è·åºæ¥ãªã fact6: ãã®ãŽããŽãLv.93ã¯å³ã€ããªã ; $hypothesis$ = ãã®ã·ã¡ãã·ã«ã
Lv.72ã¯ä»è·åºæ¥ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {AA}{a} -> {A}{a} fact2: ({AB}{a} & ¬{A}{a}) -> {B}{b} fact3: {B}{b} -> {A}{b} fact4: ({AA}{a} & ¬{AB}{a}) -> {B}{b} fact5: (x): {C}x -> ¬{A}x fact6: ¬{AB}{a} ; $hypothesis$ = ¬{A}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | éœãç¶ããããšãèµ·ãã | {C} | fact1: ããã©ããããšããããšãçºçããããšããããšã¯æ¬åœã fact2: ãã«ã
ããLv.15äºä»¶ã¯çºçããªã fact3: ããããLv.41äºä»¶ãçºçãã fact4: ã¿ãã¿ãLv.61äºä»¶ãšãŽã«ã
ãŽã«Lv.70äºä»¶ãèµ·ããã¯æãããšããããšãé²ã fact5: ãŽããŽã®Lv.3äºä»¶ãçºçãã fact6: ãœããœãLv.23äºä»¶ãçºçãã fact7: ãŽããŽã®Lv.3äºä»¶ããã³ãã©ããããšããããšãèµ·ããã¯ãéœãç¶ããããšã¯çºçããªãããšããããšã®ãã£ãããšãªã | fact1: {B} fact2: ¬{GI} fact3: {FG} fact4: ({FT} & {FK}) -> ¬{DI} fact5: {A} fact6: {FR} fact7: ({A} & {B}) -> ¬{C} | [
"fact5 & fact1 -> int1: ãŽããŽã®Lv.3äºä»¶ãèµ·ãããããã«ãã©ããããšããããšãçºçãã; int1 & fact7 -> hypothesis;"
] | [
"fact5 & fact1 -> int1: ({A} & {B}); int1 & fact7 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããã©ããããšããããšãçºçããããšããããšã¯æ¬åœã fact2: ãã«ã
ããLv.15äºä»¶ã¯çºçããªã fact3: ããããLv.41äºä»¶ãçºçãã fact4: ã¿ãã¿ãLv.61äºä»¶ãšãŽã«ã
ãŽã«Lv.70äºä»¶ãèµ·ããã¯æãããšããããšãé²ã fact5: ãŽããŽã®Lv.3äºä»¶ãçºçãã fact6: ãœããœãLv.23äºä»¶ãçºçãã fact7: ãŽããŽã®Lv.3äºä»¶ããã³ãã©ããããšããããšãèµ·ããã¯ãéœãç¶ããããšã¯çºçããªãããšããããšã®ãã£ãããšãªã ; $hypothesis$ = éœãç¶ããããšãèµ·ãã ; $proof$ = | fact5 & fact1 -> int1: ãŽããŽã®Lv.3äºä»¶ãèµ·ãããããã«ãã©ããããšããããšãçºçãã; int1 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} fact2: ¬{GI} fact3: {FG} fact4: ({FT} & {FK}) -> ¬{DI} fact5: {A} fact6: {FR} fact7: ({A} & {B}) -> ¬{C} ; $hypothesis$ = {C} ; $proof$ = | fact5 & fact1 -> int1: ({A} & {B}); int1 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ããªãã«ãLv.82ã¯çŽ°ãããããããã¯ãã©ãã¹ããããªãããšããããšã¯æãç«ããªã | ¬({C}{a} & ¬{B}{a}) | fact1: ããããææ
®æ·±ããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ããªãã«ãLv.82ã¯çŽ°ãäžæ¹ã§ãã©ãã¹ããããªãããšããããšã¯åã§ãã fact2: ãšããã¢ã³ã¹ã¿ãŒã¯ææ
®æ·±ããªãããã®ããªãã«ãLv.82ã¯çŽ°ããŠããŸãã«ãã©ãã¹ãããããšããããšã¯ééãã fact3: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ææ
®æ·±ã | fact1: (x): {A}x -> ¬({C}{a} & ¬{B}{a}) fact2: (x): {A}x -> ¬({C}{a} & {B}{a}) fact3: (Ex): {A}x | [
"fact3 -> int1: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ææ
®æ·±ã; int1 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: (Ex): {A}x; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ããããææ
®æ·±ããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ããªãã«ãLv.82ã¯çŽ°ãäžæ¹ã§ãã©ãã¹ããããªãããšããããšã¯åã§ãã fact2: ãšããã¢ã³ã¹ã¿ãŒã¯ææ
®æ·±ããªãããã®ããªãã«ãLv.82ã¯çŽ°ããŠããŸãã«ãã©ãã¹ãããããšããããšã¯ééãã fact3: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ææ
®æ·±ã ; $hypothesis$ = ããã®ããªãã«ãLv.82ã¯çŽ°ãããããããã¯ãã©ãã¹ããããªãããšããããšã¯æãç«ããªã ; $proof$ = | fact3 -> int1: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ææ
®æ·±ã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x -> ¬({C}{a} & ¬{B}{a}) fact2: (x): {A}x -> ¬({C}{a} & {B}{a}) fact3: (Ex): {A}x ; $hypothesis$ = ¬({C}{a} & ¬{B}{a}) ; $proof$ = | fact3 -> int1: (Ex): {A}x; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãŸã¡ã
ãŸã¡ãLv.10äºä»¶ã¯èµ·ããªã | ¬{C} | fact1: ã¿ã¡ã
ã¿ãLv.82äºä»¶ãšçœããšããããšãçãã fact2: ããããããã«ã
Lv.98äºä»¶ããã³éºãããšããããšãçºçããã°ãŸã¡ã
ãŸã¡ãLv.10äºä»¶ã¯çºçããªã fact3: ããããããã«ã
Lv.98äºä»¶ãçºçããã銬鹿ã§ãããšããããšãçããããšããããšã¯æãç«ããªããªã銬鹿ã§ãããšããããšã¯èµ·ãããªã fact4: éºãããšããããšã¯èµ·ããªããšãããšãŸã¡ã
ãŸã¡ãLv.10äºä»¶ãšãããã«ã
Lv.98äºä»¶ãèµ·ãã fact5: ãããã«ã
Lv.98äºä»¶ãèµ·ãã fact6: éºãããšããããšãèµ·ãã | fact1: ({IC} & {EK}) fact2: ({A} & {B}) -> ¬{C} fact3: ¬({A} & {K}) -> ¬{K} fact4: ¬{B} -> ({C} & {A}) fact5: {A} fact6: {B} | [
"fact5 & fact6 -> int1: ããããã«ã
Lv.98äºä»¶ããã³éºãããšããããšäž¡æ¹ãçºçããããšããããšã¯æ¬åœã ; int1 & fact2 -> hypothesis;"
] | [
"fact5 & fact6 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis;"
] | ãŸã¡ã
ãŸã¡ãLv.10äºä»¶ãèµ·ãã | {C} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ã¿ã¡ã
ã¿ãLv.82äºä»¶ãšçœããšããããšãçãã fact2: ããããããã«ã
Lv.98äºä»¶ããã³éºãããšããããšãçºçããã°ãŸã¡ã
ãŸã¡ãLv.10äºä»¶ã¯çºçããªã fact3: ããããããã«ã
Lv.98äºä»¶ãçºçããã銬鹿ã§ãããšããããšãçããããšããããšã¯æãç«ããªããªã銬鹿ã§ãããšããããšã¯èµ·ãããªã fact4: éºãããšããããšã¯èµ·ããªããšãããšãŸã¡ã
ãŸã¡ãLv.10äºä»¶ãšãããã«ã
Lv.98äºä»¶ãèµ·ãã fact5: ãããã«ã
Lv.98äºä»¶ãèµ·ãã fact6: éºãããšããããšãèµ·ãã ; $hypothesis$ = ãŸã¡ã
ãŸã¡ãLv.10äºä»¶ã¯èµ·ããªã ; $proof$ = | fact5 & fact6 -> int1: ããããã«ã
Lv.98äºä»¶ããã³éºãããšããããšäž¡æ¹ãçºçããããšããããšã¯æ¬åœã ; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({IC} & {EK}) fact2: ({A} & {B}) -> ¬{C} fact3: ¬({A} & {K}) -> ¬{K} fact4: ¬{B} -> ({C} & {A}) fact5: {A} fact6: {B} ; $hypothesis$ = ¬{C} ; $proof$ = | fact5 & fact6 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸã«ãŸã¡ã
Lv.73ã¯èã£ãœããšããããšã¯ãªã | ¬{B}{b} | fact1: ããã®ã¿ãã¿ãLv.28ã¯ééãç¡ãããšããããšã¯æãç«ã€ fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.28ã¯ç
©ããããšãããããã®ãŸã«ãŸã¡ã
Lv.73ã¯èã£ãœãããšããããšã¯äºå®ã fact3: ãã®ã¿ãã¿ãLv.28ã¯èã£ãœã fact4: æããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ç
©ããããããã«èã£ãœã fact5: ãã®ãŸã¡ããŸãLv.2ã¯èã£ãœã fact6: ãã®ã¿ãã¿ãLv.28ã¯ç
©ããã fact7: ããä»®ã«ãã®ã¿ãã¿ãLv.28ãæããªããšããããã®ãŽããŽã¡ã
Lv.91ã¯èã£ãœããå ããŠç
©ããã | fact1: {GA}{a} fact2: {A}{a} -> {B}{b} fact3: {B}{a} fact4: (x): ¬{C}x -> ({A}x & {B}x) fact5: {B}{cn} fact6: {A}{a} fact7: ¬{C}{a} -> ({B}{fi} & {A}{fi}) | [
"fact6 -> int1: ãã®ã¿ãã¿ãLv.28ã¯ç
©ããã; int1 & fact2 -> hypothesis;"
] | [
"fact6 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ãã®ãŸã«ãŸã¡ã
Lv.73ã¯èã£ãœããšããããšã¯ãªã | ¬{B}{b} | [
"fact8 -> int2: ããããã®ã¿ãã¿ãLv.28ãæããªããªãã°ãã®ã¿ãã¿ãLv.28ã¯ç
©ããããããã«èã£ãœã;"
] | 4 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã®ã¿ãã¿ãLv.28ã¯ééãç¡ãããšããããšã¯æãç«ã€ fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.28ã¯ç
©ããããšãããããã®ãŸã«ãŸã¡ã
Lv.73ã¯èã£ãœãããšããããšã¯äºå®ã fact3: ãã®ã¿ãã¿ãLv.28ã¯èã£ãœã fact4: æããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ç
©ããããããã«èã£ãœã fact5: ãã®ãŸã¡ããŸãLv.2ã¯èã£ãœã fact6: ãã®ã¿ãã¿ãLv.28ã¯ç
©ããã fact7: ããä»®ã«ãã®ã¿ãã¿ãLv.28ãæããªããšããããã®ãŽããŽã¡ã
Lv.91ã¯èã£ãœããå ããŠç
©ããã ; $hypothesis$ = ãã®ãŸã«ãŸã¡ã
Lv.73ã¯èã£ãœããšããããšã¯ãªã ; $proof$ = | fact6 -> int1: ãã®ã¿ãã¿ãLv.28ã¯ç
©ããã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {GA}{a} fact2: {A}{a} -> {B}{b} fact3: {B}{a} fact4: (x): ¬{C}x -> ({A}x & {B}x) fact5: {B}{cn} fact6: {A}{a} fact7: ¬{C}{a} -> ({B}{fi} & {A}{fi}) ; $hypothesis$ = ¬{B}{b} ; $proof$ = | fact6 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãŽã¡ããŽãLv.48äºä»¶ã¯çããªã | ¬{C} | fact1: ãã¡ããã¡ãLv.42äºä»¶ãçãã fact2: åä»ããããšãçºçãã fact3: ãåä»ããããšãçºçããããšããããšã¯éãçŽãããšã¯èµ·ããªããšããããšãåé¿ãã fact4: éãçŽãããšã¯ããŽã¡ããŽãLv.48äºä»¶ã¯çºçããªãããšããããšãé»æ¢ãã fact5: ç¡çç¡ããšããããšãèµ·ãã | fact1: {EH} fact2: {A} fact3: {A} -> {B} fact4: {B} -> {C} fact5: {HF} | [
"fact3 & fact2 -> int1: éãçŽãããšãçãã; int1 & fact4 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: {B}; int1 & fact4 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã¡ããã¡ãLv.42äºä»¶ãçãã fact2: åä»ããããšãçºçãã fact3: ãåä»ããããšãçºçããããšããããšã¯éãçŽãããšã¯èµ·ããªããšããããšãåé¿ãã fact4: éãçŽãããšã¯ããŽã¡ããŽãLv.48äºä»¶ã¯çºçããªãããšããããšãé»æ¢ãã fact5: ç¡çç¡ããšããããšãèµ·ãã ; $hypothesis$ = ãŽã¡ããŽãLv.48äºä»¶ã¯çããªã ; $proof$ = | fact3 & fact2 -> int1: éãçŽãããšãçãã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {EH} fact2: {A} fact3: {A} -> {B} fact4: {B} -> {C} fact5: {HF} ; $hypothesis$ = ¬{C} ; $proof$ = | fact3 & fact2 -> int1: {B}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœããœãLv.94ã¯åè«ãœããã©é¢ä¿æ·±ããªãããšããããšã¯æãç«ããªã | ¬({B}{c} & ¬{C}{c}) | fact1: ä»®ã«ããã®ãŽããŽã¡ãLv.45ã¯åè«ãœãããšããããšã¯æãç«ã€ãšãããšããã®ãœããœãLv.94ã¯åè«ãœããŠããã«é¢ä¿æ·±ãããšããããšã¯åã fact2: ãã®ã·ãã·ãLv.51ãæãåºãçºãããšãããšãã®ãŽããŽã¡ãLv.45ã¯åè«ãœã fact3: ããã®ãœããœãLv.94ã¯åè«ãœããæŽã«é¢ä¿æ·±ãããšããããšã¯æ£ãããšããããšã¯ãªã fact4: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãé¢ä¿æ·±ããªããšããã°ãã®ãœããœãLv.94ã¯åè«ãœããé¢ä¿æ·±ããªã fact5: ä»®ã«ãã®ãŽããŽã¡ãLv.45ã¯åè«ãœããšããã°ããã®ãœããœãLv.94ã¯åè«ãœããã©é¢ä¿æ·±ããªãããšããããšã¯ééã£ãŠãã | fact1: {B}{b} -> ¬({B}{c} & {C}{c}) fact2: {A}{a} -> {B}{b} fact3: ¬({B}{c} & {C}{c}) fact4: (x): ¬{C}x -> ({B}{c} & ¬{C}{c}) fact5: {B}{b} -> ¬({B}{c} & ¬{C}{c}) | [] | [] | ãã®ãœããœãLv.94ã¯åè«ãœããããã¯é¢ä¿æ·±ããªã | ({B}{c} & ¬{C}{c}) | [] | 7 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ããã®ãŽããŽã¡ãLv.45ã¯åè«ãœãããšããããšã¯æãç«ã€ãšãããšããã®ãœããœãLv.94ã¯åè«ãœããŠããã«é¢ä¿æ·±ãããšããããšã¯åã fact2: ãã®ã·ãã·ãLv.51ãæãåºãçºãããšãããšãã®ãŽããŽã¡ãLv.45ã¯åè«ãœã fact3: ããã®ãœããœãLv.94ã¯åè«ãœããæŽã«é¢ä¿æ·±ãããšããããšã¯æ£ãããšããããšã¯ãªã fact4: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãé¢ä¿æ·±ããªããšããã°ãã®ãœããœãLv.94ã¯åè«ãœããé¢ä¿æ·±ããªã fact5: ä»®ã«ãã®ãŽããŽã¡ãLv.45ã¯åè«ãœããšããã°ããã®ãœããœãLv.94ã¯åè«ãœããã©é¢ä¿æ·±ããªãããšããããšã¯ééã£ãŠãã ; $hypothesis$ = ããã®ãœããœãLv.94ã¯åè«ãœããã©é¢ä¿æ·±ããªãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{b} -> ¬({B}{c} & {C}{c}) fact2: {A}{a} -> {B}{b} fact3: ¬({B}{c} & {C}{c}) fact4: (x): ¬{C}x -> ({B}{c} & ¬{C}{c}) fact5: {B}{b} -> ¬({B}{c} & ¬{C}{c}) ; $hypothesis$ = ¬({B}{c} & ¬{C}{c}) ; $proof$ = | __UNKNOWN__ |
0.3 | æã¡æããšããããšãèµ·ãããæ¶ããããšãçããããŸãã¯äž¡æ¹ã§ãã | ({C} v {A}) | fact1: æ¶ããããšãçºçããããŽã«ããŽãLv.57äºä»¶ãèµ·ãã fact2: ãŽã«ããŽãLv.57äºä»¶ãçãã | fact1: ({A} & {B}) fact2: {B} | [
"fact1 -> int1: æ¶ããããšãèµ·ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: æ¶ããããšãçºçããããŽã«ããŽãLv.57äºä»¶ãèµ·ãã fact2: ãŽã«ããŽãLv.57äºä»¶ãçãã ; $hypothesis$ = æã¡æããšããããšãèµ·ãããæ¶ããããšãçããããŸãã¯äž¡æ¹ã§ãã ; $proof$ = | fact1 -> int1: æ¶ããããšãèµ·ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) fact2: {B} ; $hypothesis$ = ({C} v {A}) ; $proof$ = | fact1 -> int1: {A}; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœã®ãœãLv.96ã¯æšããããªãããããã¯ãã€ã£ãããªãããŸãã¯ã©ã¡ããã§ãã | (¬{AA}{a} v ¬{AB}{a}) | fact1: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯ææ
移å
¥ããªããªããããã¯æšããããªãããããã¯ãã€ã£ãããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æ¬åœã fact2: ããã¯æšããããªãããããã¯ããã¯ãã€ã£ãããªããäž¡æ¹ãšãã ãšããã¢ã³ã¹ã¿ãŒã¯ãªã | fact1: (x): ¬{A}x -> (¬{AA}x v ¬{AB}x) fact2: (x): ¬(¬{AA}x v ¬{AB}x) | [
"fact2 -> int1: ããã¯æšããããªãããããã¯ããã¯ãã€ã£ãããªããäž¡æ¹ãšãã ãšããã¢ã³ã¹ã¿ãŒã¯ãªã; int1 -> hypothesis;"
] | [
"fact2 -> int1: (x): ¬(¬{AA}x v ¬{AB}x); int1 -> hypothesis;"
] | ãã®ãœã®ãœãLv.96ã¯æšããããªãããããã¯ãã€ã£ãããªãããŸãã¯ã©ã¡ããã§ãã | (¬{AA}{a} v ¬{AB}{a}) | [
"fact3 -> int2: ãããã®ãœã®ãœãLv.96ãææ
移å
¥ããªããšãããšæšããããªãããããã¯ãã€ã£ãããªã;"
] | 7 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯ææ
移å
¥ããªããªããããã¯æšããããªãããããã¯ãã€ã£ãããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æ¬åœã fact2: ããã¯æšããããªãããããã¯ããã¯ãã€ã£ãããªããäž¡æ¹ãšãã ãšããã¢ã³ã¹ã¿ãŒã¯ãªã ; $hypothesis$ = ãã®ãœã®ãœãLv.96ã¯æšããããªãããããã¯ãã€ã£ãããªãããŸãã¯ã©ã¡ããã§ãã ; $proof$ = | fact2 -> int1: ããã¯æšããããªãããããã¯ããã¯ãã€ã£ãããªããäž¡æ¹ãšãã ãšããã¢ã³ã¹ã¿ãŒã¯ãªã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{A}x -> (¬{AA}x v ¬{AB}x) fact2: (x): ¬(¬{AA}x v ¬{AB}x) ; $hypothesis$ = (¬{AA}{a} v ¬{AB}{a}) ; $proof$ = | fact2 -> int1: (x): ¬(¬{AA}x v ¬{AB}x); int1 -> hypothesis; __DISPROVED__ |
0.3 | ããªèããšããããšãèµ·ãããæœã£ãããšããããšãçºçãã | ({B} & {C}) | fact1: ãããããå§ããããšã¯èµ·ããªãããšããããšã¯ç¢ºããªãã°ãããªèããšããããšãšæœã£ãããšããããšãçºçããããšããããšã¯æãç«ããªã fact2: ãœããœãªLv.82äºä»¶ãçºçãã fact3: ã泚èŠããããšãèµ·ãããªããããã«ãå§ããããšã¯èµ·ããªãããšããããšã¯ãããã«ãLv.2äºä»¶ãèµ·ããªããšããããšã¯ãã£ããã fact4: ãå§ããããšãšããªèããšããããšã©ã¡ãããçºçãã fact5: æœã£ãããšããããšãçºçãã fact6: ããããã«ãLv.2äºä»¶ãçºçããªããããã埡æã¡äžããããšã¯èµ·ããªãããšããããšã¯åœããé£ããšããããšãåå ã | fact1: ¬{A} -> ¬({B} & {C}) fact2: {EM} fact3: ¬{E} -> (¬{D} & ¬{A}) fact4: ({A} & {B}) fact5: {C} fact6: {G} -> (¬{E} & ¬{F}) | [
"fact4 -> int1: ããªèããšããããšãçãã; int1 & fact5 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 & fact5 -> hypothesis;"
] | ãããªèããšããããšããã³æœã£ãããšããããšã©ã¡ãããèµ·ããããšããããšã¯æãç«ããªã | ¬({B} & {C}) | [] | 8 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããããå§ããããšã¯èµ·ããªãããšããããšã¯ç¢ºããªãã°ãããªèããšããããšãšæœã£ãããšããããšãçºçããããšããããšã¯æãç«ããªã fact2: ãœããœãªLv.82äºä»¶ãçºçãã fact3: ã泚èŠããããšãèµ·ãããªããããã«ãå§ããããšã¯èµ·ããªãããšããããšã¯ãããã«ãLv.2äºä»¶ãèµ·ããªããšããããšã¯ãã£ããã fact4: ãå§ããããšãšããªèããšããããšã©ã¡ãããçºçãã fact5: æœã£ãããšããããšãçºçãã fact6: ããããã«ãLv.2äºä»¶ãçºçããªããããã埡æã¡äžããããšã¯èµ·ããªãããšããããšã¯åœããé£ããšããããšãåå ã ; $hypothesis$ = ããªèããšããããšãèµ·ãããæœã£ãããšããããšãçºçãã ; $proof$ = | fact4 -> int1: ããªèããšããããšãçãã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A} -> ¬({B} & {C}) fact2: {EM} fact3: ¬{E} -> (¬{D} & ¬{A}) fact4: ({A} & {B}) fact5: {C} fact6: {G} -> (¬{E} & ¬{F}) ; $hypothesis$ = ({B} & {C}) ; $proof$ = | fact4 -> int1: {B}; int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | æ±ãããããšããããšã¯èµ·ãããªã | ¬{C} | fact1: ã¿ãã¿ã¡ã
Lv.96äºä»¶ãçºçãã fact2: ãœã®ãœãLv.87äºä»¶ãšãããã«ã
Lv.76äºä»¶ãèµ·ãããªãæ±ãããããšããããšã¯çããªã fact3: ãœã®ãœãLv.87äºä»¶ãèµ·ãã fact4: ãããã«ã
Lv.76äºä»¶ãçºçãã | fact1: {DJ} fact2: ({A} & {B}) -> ¬{C} fact3: {A} fact4: {B} | [
"fact3 & fact4 -> int1: ãœã®ãœãLv.87äºä»¶ãšãããã«ã
Lv.76äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 & fact4 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ã¿ãã¿ã¡ã
Lv.96äºä»¶ãçºçãã fact2: ãœã®ãœãLv.87äºä»¶ãšãããã«ã
Lv.76äºä»¶ãèµ·ãããªãæ±ãããããšããããšã¯çããªã fact3: ãœã®ãœãLv.87äºä»¶ãèµ·ãã fact4: ãããã«ã
Lv.76äºä»¶ãçºçãã ; $hypothesis$ = æ±ãããããšããããšã¯èµ·ãããªã ; $proof$ = | fact3 & fact4 -> int1: ãœã®ãœãLv.87äºä»¶ãšãããã«ã
Lv.76äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {DJ} fact2: ({A} & {B}) -> ¬{C} fact3: {A} fact4: {B} ; $hypothesis$ = ¬{C} ; $proof$ = | fact3 & fact4 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ããããä»®ã«ããããããªãããã©æ¥è¥²ãããšããã°æåããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ééãã | ¬((Ex): (¬{AA}x & {AB}x) -> ¬{B}x) | fact1: ä»®ã«ãã®ãŸã¡ã
ãŸã¡ã
Lv.16ã¯çãå§ããã埡任ãããšãããšããã¯æ¥è¥²ããªã fact2: ããããå¿æ·±ããªããŠããã«ç²é«ããšãããšç¢ºå®èšºæããªããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããããã®ãœããœãLv.15ããèŸããå ããŠæ»ãåããªããã®ãœããœãLv.15ã¯ãã¶ãšããšããããšã¯ãªã | fact1: ({EI}{ac} & {DS}{ac}) -> ¬{AB}{ac} fact2: (Ex): (¬{HH}x & {AT}x) -> ¬{DU}x fact3: ({M}{aa} & {P}{aa}) -> ¬{II}{aa} | [] | [] | null | null | [] | null | 1 | 1 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ãŸã¡ã
ãŸã¡ã
Lv.16ã¯çãå§ããã埡任ãããšãããšããã¯æ¥è¥²ããªã fact2: ããããå¿æ·±ããªããŠããã«ç²é«ããšãããšç¢ºå®èšºæããªããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããããã®ãœããœãLv.15ããèŸããå ããŠæ»ãåããªããã®ãœããœãLv.15ã¯ãã¶ãšããšããããšã¯ãªã ; $hypothesis$ = ããããä»®ã«ããããããªãããã©æ¥è¥²ãããšããã°æåããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ééãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({EI}{ac} & {DS}{ac}) -> ¬{AB}{ac} fact2: (Ex): (¬{HH}x & {AT}x) -> ¬{DU}x fact3: ({M}{aa} & {P}{aa}) -> ¬{II}{aa} ; $hypothesis$ = ¬((Ex): (¬{AA}x & {AB}x) -> ¬{B}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ãçãé£ããšããããšããã³èžã匵ãããšãèµ·ããããšããããšã¯æãç«ããªã | ¬({C} & {A}) | fact1: çãé£ããšããããšãçºçãã fact2: èžã匵ãããšããã³åŸ¡æäŒãããããšäž¡æ¹ãšããèµ·ãã | fact1: {C} fact2: ({A} & {B}) | [
"fact2 -> int1: èžã匵ãããšãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: çãé£ããšããããšãçºçãã fact2: èžã匵ãããšããã³åŸ¡æäŒãããããšäž¡æ¹ãšããèµ·ãã ; $hypothesis$ = ãçãé£ããšããããšããã³èžã匵ãããšãèµ·ããããšããããšã¯æãç«ããªã ; $proof$ = | fact2 -> int1: èžã匵ãããšãèµ·ãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: ({A} & {B}) ; $hypothesis$ = ¬({C} & {A}) ; $proof$ = | fact2 -> int1: {A}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã¡ããŸã®Lv.84ã¯æšããã | {A}{a} | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æšããã fact2: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯è¥è
ããããšããããšã¯ãªããŠè³æãé£ããªãããšããããšã¯åãªãæšããããšããããšã¯ãªã | fact1: (x): {A}x fact2: (x): ¬(¬{C}x & ¬{B}x) -> ¬{A}x | [
"fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æšããã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ãŸã¡ããŸã®Lv.84ã¯æšããããªã | ¬{A}{a} | [
"fact3 -> int2: ãããããã®ãŸã¡ããŸã®Lv.84ã¯è¥è
ããããªããè³æãé£ããªãããšããããšã¯åœã ãšãããããã®ãŸã¡ããŸã®Lv.84ã¯æšããããªãããšããããšã¯æ¬åœã§ãã;"
] | 4 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æšããã fact2: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯è¥è
ããããšããããšã¯ãªããŠè³æãé£ããªãããšããããšã¯åãªãæšããããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŸã¡ããŸã®Lv.84ã¯æšããã ; $proof$ = | fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æšããã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x fact2: (x): ¬(¬{C}x & ¬{B}x) -> ¬{A}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ããã©èããšããããšãšãŸã¡ããŸã®Lv.1äºä»¶ã©ã¡ãããçºçãã | ({B} & {C}) | fact1: æããé£ããšããããšãšå±ãããšããããšãçºçãã fact2: ã·ãªã·ã¡ãLv.16äºä»¶ãçãã fact3: ãŸã¡ããŸã®Lv.1äºä»¶ãèµ·ãã fact4: ãã«ããã¡ãLv.22äºä»¶ãçãããããŸãã«ããã©èããšããããšãèµ·ãã | fact1: ({GN} & {M}) fact2: {AK} fact3: {C} fact4: ({A} & {B}) | [
"fact4 -> int1: ããã©èããšããããšãèµ·ãã; int1 & fact3 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: æããé£ããšããããšãšå±ãããšããããšãçºçãã fact2: ã·ãªã·ã¡ãLv.16äºä»¶ãçãã fact3: ãŸã¡ããŸã®Lv.1äºä»¶ãèµ·ãã fact4: ãã«ããã¡ãLv.22äºä»¶ãçãããããŸãã«ããã©èããšããããšãèµ·ãã ; $hypothesis$ = ããã©èããšããããšãšãŸã¡ããŸã®Lv.1äºä»¶ã©ã¡ãããçºçãã ; $proof$ = | fact4 -> int1: ããã©èããšããããšãèµ·ãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({GN} & {M}) fact2: {AK} fact3: {C} fact4: ({A} & {B}) ; $hypothesis$ = ({B} & {C}) ; $proof$ = | fact4 -> int1: {B}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããã®ããªããLv.58ã¯åŒãèµ·ããæããªãããšããããšã¯æãç«ã€ | ¬{B}{a} | fact1: ä»®ã«ãã®ããªããLv.58ããã°ããããšãããšåŒãèµ·ããæã fact2: ãã®ããªããLv.58ã¯ãã°ããã | fact1: {A}{a} -> {B}{a} fact2: {A}{a} | [
"fact2 -> int1: ãã®ããªããLv.58ã¯ãã°ããã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãã®ããªããLv.58ããã°ããããšãããšåŒãèµ·ããæã fact2: ãã®ããªããLv.58ã¯ãã°ããã ; $hypothesis$ = ããã®ããªããLv.58ã¯åŒãèµ·ããæããªãããšããããšã¯æãç«ã€ ; $proof$ = | fact2 -> int1: ãã®ããªããLv.58ã¯ãã°ããã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: {A}{a} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact2 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãå
èŠãããšããããšã¯çããªãããœã¡ããœãLv.76äºä»¶ã¯çããªãããšããããšã¯åã§ãã | ¬(¬{B} & ¬{A}) | fact1: ã·ãã·ã¡ã
Lv.11äºä»¶ã§ã¯ãªããŠèããããšãçºçãã fact2: ãå
èŠãããšããããšã¯çºçããªãããšããããšã¯ãéžã³åãããšã¯èµ·ãããªããŠåºæ¥æããšããããšãçããããšããããšãåå ã§ãã fact3: çèŠãããšããããšã¯çºçããªã fact4: éžã³åãããšã¯èµ·ããªã fact5: éžã³åãããšã¯èµ·ãããªãäžæ¹ã§åºæ¥æããšããããšãçãã fact6: å
èŠãããšããããšã¯èµ·ããªããšããããšã¯éžã³åãããšãšåºæ¥æããšããããšãèµ·ããã«ãããããã fact7: ã·ã«ã·ãLv.31äºä»¶ã¯çããªããã·ãã·ã«ãLv.45äºä»¶ãçãã fact8: ããœã¡ããœãLv.76äºä»¶ã¯èµ·ããªãããšããããšã¯æ£ãã | fact1: (¬{ES} & {EI}) fact2: (¬{AA} & {AB}) -> ¬{B} fact3: ¬{GD} fact4: ¬{AA} fact5: (¬{AA} & {AB}) fact6: ({AA} & {AB}) -> ¬{B} fact7: (¬{GH} & {EP}) fact8: ¬{A} | [
"fact2 & fact5 -> int1: å
èŠãããšããããšã¯çºçããªã; int1 & fact8 -> hypothesis;"
] | [
"fact2 & fact5 -> int1: ¬{B}; int1 & fact8 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ã·ãã·ã¡ã
Lv.11äºä»¶ã§ã¯ãªããŠèããããšãçºçãã fact2: ãå
èŠãããšããããšã¯çºçããªãããšããããšã¯ãéžã³åãããšã¯èµ·ãããªããŠåºæ¥æããšããããšãçããããšããããšãåå ã§ãã fact3: çèŠãããšããããšã¯çºçããªã fact4: éžã³åãããšã¯èµ·ããªã fact5: éžã³åãããšã¯èµ·ãããªãäžæ¹ã§åºæ¥æããšããããšãçãã fact6: å
èŠãããšããããšã¯èµ·ããªããšããããšã¯éžã³åãããšãšåºæ¥æããšããããšãèµ·ããã«ãããããã fact7: ã·ã«ã·ãLv.31äºä»¶ã¯çããªããã·ãã·ã«ãLv.45äºä»¶ãçãã fact8: ããœã¡ããœãLv.76äºä»¶ã¯èµ·ããªãããšããããšã¯æ£ãã ; $hypothesis$ = ãå
èŠãããšããããšã¯çããªãããœã¡ããœãLv.76äºä»¶ã¯çããªãããšããããšã¯åã§ãã ; $proof$ = | fact2 & fact5 -> int1: å
èŠãããšããããšã¯çºçããªã; int1 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{ES} & {EI}) fact2: (¬{AA} & {AB}) -> ¬{B} fact3: ¬{GD} fact4: ¬{AA} fact5: (¬{AA} & {AB}) fact6: ({AA} & {AB}) -> ¬{B} fact7: (¬{GH} & {EP}) fact8: ¬{A} ; $hypothesis$ = ¬(¬{B} & ¬{A}) ; $proof$ = | fact2 & fact5 -> int1: ¬{B}; int1 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸã«ã
Lv.56ã¯çµå£æåãã | {B}{aa} | fact1: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯é«ããªããªããçµå£æåããããŸãã¯çãããŸãããªãããšããããšã¯æãç«ããªã fact2: ãã®ãŽããŽã¡ãLv.81ã¯é«ããªã fact3: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯ç¶èŠªãããããã©é£ãé£ããªããªãçµå£æåãã | fact1: (x): ¬{D}x -> ¬({B}x v ¬{C}x) fact2: ¬{D}{b} fact3: (x): ({AA}x & ¬{AB}x) -> {B}x | [
"fact3 -> int1: ããããã®ãŸããŸã«ã
Lv.56ãç¶èŠªããããã©é£ãé£ããšããããšã¯ãªããšããããã®ãŸããŸã«ã
Lv.56ã¯çµå£æåãã;"
] | [
"fact3 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa};"
] | ãã®ã·ãã·ã«Lv.69ã¯é£ãé£ã | {AB}{ds} | [
"fact4 -> int2: ä»®ã«ãã®ãŽããŽã¡ãLv.81ã¯é«ããšããããšã¯ãªããªãã°ãçµå£æåãããããã¯çãããŸãããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯äºå®ãšç°ãªã; int2 & fact5 -> int3: ããã®ãŽããŽã¡ãLv.81ã¯çµå£æåããããŸãã¯ããã¯çãããŸãããªãããããã¯ã©ã¡ããã ããšããããšã¯æãç«ããªã; int3 -> int4: ããçµå£æåããããããã¯çãããŸãããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 7 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯é«ããªããªããçµå£æåããããŸãã¯çãããŸãããªãããšããããšã¯æãç«ããªã fact2: ãã®ãŽããŽã¡ãLv.81ã¯é«ããªã fact3: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯ç¶èŠªãããããã©é£ãé£ããªããªãçµå£æåãã ; $hypothesis$ = ãã®ãŸããŸã«ã
Lv.56ã¯çµå£æåãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{D}x -> ¬({B}x v ¬{C}x) fact2: ¬{D}{b} fact3: (x): ({AA}x & ¬{AB}x) -> {B}x ; $hypothesis$ = {B}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | èªããããšããããšãçºçããããããã¯èª¿ç¯ãæããšããããšãçãã | ({A} v {C}) | fact1: èªããããšããããšãèµ·ãããå ããŠããããããããšãèµ·ãã | fact1: ({A} & {B}) | [
"fact1 -> int1: èªããããšããããšãèµ·ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: èªããããšããããšãèµ·ãããå ããŠããããããããšãèµ·ãã ; $hypothesis$ = èªããããšããããšãçºçããããããã¯èª¿ç¯ãæããšããããšãçãã ; $proof$ = | fact1 -> int1: èªããããšããããšãèµ·ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) ; $hypothesis$ = ({A} v {C}) ; $proof$ = | fact1 -> int1: {A}; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãã·ã«ãLv.23ã¯é å¿ãæã | {C}{b} | fact1: ä»®ã«ãã®ã·ãã·ã«ãLv.23ãçãŸãæããšãããšãã®ãŸããŸãLv.63ã¯é å¿ãæã fact2: ããã®ãŸããŸãLv.63ã¯çãŸãæãããšããããšã¯æãç«ã€ fact3: ããããã®ã·ãã·ã«ãLv.23ã¯ç²æç²æãããšãããããã®ã·ãã·ã«ãLv.23ã¯é å¿ãæãããšããããšã¯æ¬åœã§ãã fact4: çãŸãæãã¢ã³ã¹ã¿ãŒã¯é å¿ãæã fact5: ãããã®ãŸããŸãLv.63ãçãŸãæããªãããã®äžãããç²æç²æãããªããšããã°ãã®ã·ãã·ã«ãLv.23ã¯é å¿ãæããªã fact6: çŽãé£ããªãã¢ã³ã¹ã¿ãŒã¯çãŸãæããªããŠãã®äžç²æç²æãããšããããšã¯ãªã | fact1: {A}{b} -> {C}{a} fact2: {A}{a} fact3: {B}{b} -> {C}{b} fact4: (x): {A}x -> {C}x fact5: (¬{A}{a} & ¬{B}{a}) -> ¬{C}{b} fact6: (x): ¬{D}x -> (¬{A}x & ¬{B}x) | [] | [] | ããã®ã·ãã·ã«ãLv.23ã¯é å¿ãæããªãããšããããšã¯æãç«ã€ | ¬{C}{b} | [
"fact7 -> int1: ããããã®ãŸããŸãLv.63ãçŽãé£ããªããšãããçãŸãæããšããããšã¯ãªããããã«ç²æç²æãããªã;"
] | 5 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã·ãã·ã«ãLv.23ãçãŸãæããšãããšãã®ãŸããŸãLv.63ã¯é å¿ãæã fact2: ããã®ãŸããŸãLv.63ã¯çãŸãæãããšããããšã¯æãç«ã€ fact3: ããããã®ã·ãã·ã«ãLv.23ã¯ç²æç²æãããšãããããã®ã·ãã·ã«ãLv.23ã¯é å¿ãæãããšããããšã¯æ¬åœã§ãã fact4: çãŸãæãã¢ã³ã¹ã¿ãŒã¯é å¿ãæã fact5: ãããã®ãŸããŸãLv.63ãçãŸãæããªãããã®äžãããç²æç²æãããªããšããã°ãã®ã·ãã·ã«ãLv.23ã¯é å¿ãæããªã fact6: çŽãé£ããªãã¢ã³ã¹ã¿ãŒã¯çãŸãæããªããŠãã®äžç²æç²æãããšããããšã¯ãªã ; $hypothesis$ = ãã®ã·ãã·ã«ãLv.23ã¯é å¿ãæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{b} -> {C}{a} fact2: {A}{a} fact3: {B}{b} -> {C}{b} fact4: (x): {A}x -> {C}x fact5: (¬{A}{a} & ¬{B}{a}) -> ¬{C}{b} fact6: (x): ¬{D}x -> (¬{A}x & ¬{B}x) ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãLv.52ã¯çã | {B}{aa} | fact1: ä»®ã«ãã®ãã¡ãããLv.66ã¯ã¢ãããŒããæããšãããããã®ãããã¡ãLv.32ã¯ã§ã£ããããšããããšã¯çå®ã fact2: å¯ãããªãã¢ã³ã¹ã¿ãŒãã§ã£ãããªããªãã°ããã¯çã | fact1: {A}{a} -> {AB}{ep} fact2: (x): (¬{AA}x & ¬{AB}x) -> {B}x | [
"fact2 -> int1: ããããã®ã¿ãã¿ãLv.52ã¯å¯ãããªããŠã§ã£ãããªããšããã°çã;"
] | [
"fact2 -> int1: (¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa};"
] | ãã®ãããã¡ãLv.32ã¯ã§ã£ãã | {AB}{ep} | [] | 6 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãã¡ãããLv.66ã¯ã¢ãããŒããæããšãããããã®ãããã¡ãLv.32ã¯ã§ã£ããããšããããšã¯çå®ã fact2: å¯ãããªãã¢ã³ã¹ã¿ãŒãã§ã£ãããªããªãã°ããã¯çã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.52ã¯çã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> {AB}{ep} fact2: (x): (¬{AA}x & ¬{AB}x) -> {B}x ; $hypothesis$ = {B}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãé
èããšããããšãèµ·ãããçæž©ãããšããããšãçºçããããšããããšã¯èª€ã£ãŠãã | ¬({B} & {C}) | fact1: çæž©ãããšããããšãèµ·ãã fact2: ãŸã®ãŸãLv.94äºä»¶ãšé
èããšããããšãçºçãã | fact1: {C} fact2: ({A} & {B}) | [
"fact2 -> int1: é
èããšããããšãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: çæž©ãããšããããšãèµ·ãã fact2: ãŸã®ãŸãLv.94äºä»¶ãšé
èããšããããšãçºçãã ; $hypothesis$ = ãé
èããšããããšãèµ·ãããçæž©ãããšããããšãçºçããããšããããšã¯èª€ã£ãŠãã ; $proof$ = | fact2 -> int1: é
èããšããããšãèµ·ãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: ({A} & {B}) ; $hypothesis$ = ¬({B} & {C}) ; $proof$ = | fact2 -> int1: {B}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã¿ãã¿ã¡ãLv.67ã¯ç ãããããæãèµ·ãããšããããšã¯ãªãããšããããšã¯ééãã | ¬({AA}{aa} & ¬{AB}{aa}) | fact1: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯èŠåæ£ãããªããªãã°ãç ããã©æãèµ·ãããªãããšããããšã¯èª€ãã fact2: ããããšããã¢ã³ã¹ã¿ãŒã¯èœã¡æããªãããšããããšã¯ç¢ºãã ãšãããšãããã¯çµãå
¥ããããã®äžèæãããšããããšã¯æãç«ããªã fact3: ãã®ã¿ãã¿ã¡ãLv.67ã¯èŠåæ£ãããªã | fact1: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact2: (x): ¬{HH}x -> ¬({AR}x & {EB}x) fact3: ¬{A}{aa} | [
"fact1 -> int1: ãããã®ã¿ãã¿ã¡ãLv.67ã¯èŠåæ£ãããªããšããããããã¯ç ãããŸãããã¯æãèµ·ãããªãããšããããšã¯ééã£ãŠãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯èŠåæ£ãããªããªãã°ãç ããã©æãèµ·ãããªãããšããããšã¯èª€ãã fact2: ããããšããã¢ã³ã¹ã¿ãŒã¯èœã¡æããªãããšããããšã¯ç¢ºãã ãšãããšãããã¯çµãå
¥ããããã®äžèæãããšããããšã¯æãç«ããªã fact3: ãã®ã¿ãã¿ã¡ãLv.67ã¯èŠåæ£ãããªã ; $hypothesis$ = ããã®ã¿ãã¿ã¡ãLv.67ã¯ç ãããããæãèµ·ãããšããããšã¯ãªãããšããããšã¯ééãã ; $proof$ = | fact1 -> int1: ãããã®ã¿ãã¿ã¡ãLv.67ã¯èŠåæ£ãããªããšããããããã¯ç ãããŸãããã¯æãèµ·ãããªãããšããããšã¯ééã£ãŠãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact2: (x): ¬{HH}x -> ¬({AR}x & {EB}x) fact3: ¬{A}{aa} ; $hypothesis$ = ¬({AA}{aa} & ¬{AB}{aa}) ; $proof$ = | fact1 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãããã¡ã
Lv.93ã¯ããããã | {B}{b} | fact1: ãã®ã·ãã·ã«ã
Lv.51ã¯å¹³ãã fact2: ããã®ã·ãã·ã«ã
Lv.51ã¯åœ¢æåºæ¥ãªãããããã¯ããã¯éŠŽã銎ãããããŸãã¯ã©ã¡ããã§ããããšããããšã¯åã ãšããããã®ãããã¡ã
Lv.93ã¯ããããã fact3: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯ä¹ãæãããšããããšã¯äºå®ã§ãããšãããã銎ã銎ããããªãããããã¯èããé£ãããããã¯äž¡æ¹ã ããšããããšã¯åœã fact4: ããä»®ã«ãã®ã·ãã·ã«ã
Lv.51ã¯å¹³ãããªãã°ãããã®ã·ãã·ã«ã
Lv.51ã¯åœ¢æåºæ¥ãªãããŸãã¯éŠŽã銎ãããããããã¯äž¡æ¹ã§ããããšããããšã¯åœã§ããããšããããšã¯æ¬åœã | fact1: {A}{a} fact2: ¬(¬{AA}{a} v {AB}{a}) -> {B}{b} fact3: (x): {ID}x -> ¬(¬{AB}x v {HA}x) fact4: {A}{a} -> ¬(¬{AA}{a} v {AB}{a}) | [
"fact4 & fact1 -> int1: ããã®ã·ãã·ã«ã
Lv.51ã¯åœ¢æåºæ¥ãªãããããã¯éŠŽã銎ããããäž¡æ¹ã§ããããšããããšã¯æãç«ããªã; int1 & fact2 -> hypothesis;"
] | [
"fact4 & fact1 -> int1: ¬(¬{AA}{a} v {AB}{a}); int1 & fact2 -> hypothesis;"
] | ä»®ã«ããã®ã¿ã¡ãã¿ã«ãLv.13ã¯ä¹ãæãããšããããšã¯æãç«ã€ãšãããšããã®ã¿ã¡ãã¿ã«ãLv.13ã¯éŠŽã銎ããããªãããŸãã¯èããé£ãããŸãã¯ã©ã¡ããã ããšããããšã¯æãç«ããªã | {ID}{er} -> ¬(¬{AB}{er} v {HA}{er}) | [
"fact5 -> hypothesis;"
] | 1 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ãã®ã·ãã·ã«ã
Lv.51ã¯å¹³ãã fact2: ããã®ã·ãã·ã«ã
Lv.51ã¯åœ¢æåºæ¥ãªãããããã¯ããã¯éŠŽã銎ãããããŸãã¯ã©ã¡ããã§ããããšããããšã¯åã ãšããããã®ãããã¡ã
Lv.93ã¯ããããã fact3: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯ä¹ãæãããšããããšã¯äºå®ã§ãããšãããã銎ã銎ããããªãããããã¯èããé£ãããããã¯äž¡æ¹ã ããšããããšã¯åœã fact4: ããä»®ã«ãã®ã·ãã·ã«ã
Lv.51ã¯å¹³ãããªãã°ãããã®ã·ãã·ã«ã
Lv.51ã¯åœ¢æåºæ¥ãªãããŸãã¯éŠŽã銎ãããããããã¯äž¡æ¹ã§ããããšããããšã¯åœã§ããããšããããšã¯æ¬åœã ; $hypothesis$ = ãã®ãããã¡ã
Lv.93ã¯ããããã ; $proof$ = | fact4 & fact1 -> int1: ããã®ã·ãã·ã«ã
Lv.51ã¯åœ¢æåºæ¥ãªãããããã¯éŠŽã銎ããããäž¡æ¹ã§ããããšããããšã¯æãç«ããªã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: ¬(¬{AA}{a} v {AB}{a}) -> {B}{b} fact3: (x): {ID}x -> ¬(¬{AB}x v {HA}x) fact4: {A}{a} -> ¬(¬{AA}{a} v {AB}{a}) ; $hypothesis$ = {B}{b} ; $proof$ = | fact4 & fact1 -> int1: ¬(¬{AA}{a} v {AB}{a}); int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãœã«ãœãªLv.84äºä»¶ã¯çºçããããããã¯ãŽããŽãLv.71äºä»¶ã¯çºçãããäž¡æ¹ãšãã | ({C} v {B}) | fact1: ãããã¡ãLv.95äºä»¶ãçããããããã¯ãã¡ããã«ã
Lv.9äºä»¶ãèµ·ãã fact2: ã¿ã®ã¿ã¡ãLv.99äºä»¶ãèµ·ããããããã¯ãœããœã«ã
Lv.34äºä»¶ãçããããããã¯ã©ã¡ããã§ãã fact3: ããœã«ãœãªLv.84äºä»¶ã¯çºçããªãããšããããšã¯ããœããœã¡ãLv.50äºä»¶ããŸãã¯ãŽããŽãLv.71äºä»¶ãèµ·ããããšããããšã®ãã£ãããšãªã fact4: ãœããœã¡ãLv.50äºä»¶ãšãŽããŽãLv.71äºä»¶äž¡æ¹ãšããèµ·ãã | fact1: ({JG} v {AS}) fact2: ({DQ} v {JC}) fact3: ¬{C} -> ({A} v {B}) fact4: ({A} & {B}) | [
"fact4 -> int1: ãŽããŽãLv.71äºä»¶ãèµ·ãã; int1 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 -> hypothesis;"
] | åæ°ãªããšããããšãçãã | {HO} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã¡ãLv.95äºä»¶ãçããããããã¯ãã¡ããã«ã
Lv.9äºä»¶ãèµ·ãã fact2: ã¿ã®ã¿ã¡ãLv.99äºä»¶ãèµ·ããããããã¯ãœããœã«ã
Lv.34äºä»¶ãçããããããã¯ã©ã¡ããã§ãã fact3: ããœã«ãœãªLv.84äºä»¶ã¯çºçããªãããšããããšã¯ããœããœã¡ãLv.50äºä»¶ããŸãã¯ãŽããŽãLv.71äºä»¶ãèµ·ããããšããããšã®ãã£ãããšãªã fact4: ãœããœã¡ãLv.50äºä»¶ãšãŽããŽãLv.71äºä»¶äž¡æ¹ãšããèµ·ãã ; $hypothesis$ = ãœã«ãœãªLv.84äºä»¶ã¯çºçããããããã¯ãŽããŽãLv.71äºä»¶ã¯çºçãããäž¡æ¹ãšãã ; $proof$ = | fact4 -> int1: ãŽããŽãLv.71äºä»¶ãèµ·ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({JG} v {AS}) fact2: ({DQ} v {JC}) fact3: ¬{C} -> ({A} v {B}) fact4: ({A} & {B}) ; $hypothesis$ = ({C} v {B}) ; $proof$ = | fact4 -> int1: {B}; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãããã«Lv.39ã¯åãèŸããšããããšã¯ãªã | ¬{C}{b} | fact1: ãã®ãŸããŸã«ãLv.70ã¯çœµãåã fact2: ãã®ãããã«Lv.39ã¯æ眪ããããã€åãããã fact3: ãã®ãŸããŸã«ãLv.70ã¯åãèŸããªã fact4: ãã®ãŸããŸã«ãLv.70ã¯å¿ãã fact5: ããããã®ãŸããŸã«ãLv.70ãå¿ãããŠãã€åºããé£ããªããã®ãããã«Lv.39ã¯åãèŸããªã fact6: ãã®ãœããœãLv.31ã¯åºããé£ã fact7: ããã®ãŸããŸã«ãLv.70ã¯åºããé£ãããšããããšã¯æãç«ã€ | fact1: {H}{a} fact2: ({GR}{b} & {JG}{b}) fact3: ¬{C}{a} fact4: {A}{a} fact5: ({A}{a} & {B}{a}) -> ¬{C}{b} fact6: {B}{n} fact7: {B}{a} | [
"fact4 & fact7 -> int1: ãã®ãŸããŸã«ãLv.70ã¯å¿ããããŸãåºããé£ã; int1 & fact5 -> hypothesis;"
] | [
"fact4 & fact7 -> int1: ({A}{a} & {B}{a}); int1 & fact5 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŸããŸã«ãLv.70ã¯çœµãåã fact2: ãã®ãããã«Lv.39ã¯æ眪ããããã€åãããã fact3: ãã®ãŸããŸã«ãLv.70ã¯åãèŸããªã fact4: ãã®ãŸããŸã«ãLv.70ã¯å¿ãã fact5: ããããã®ãŸããŸã«ãLv.70ãå¿ãããŠãã€åºããé£ããªããã®ãããã«Lv.39ã¯åãèŸããªã fact6: ãã®ãœããœãLv.31ã¯åºããé£ã fact7: ããã®ãŸããŸã«ãLv.70ã¯åºããé£ãããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ãããã«Lv.39ã¯åãèŸããšããããšã¯ãªã ; $proof$ = | fact4 & fact7 -> int1: ãã®ãŸããŸã«ãLv.70ã¯å¿ããããŸãåºããé£ã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {H}{a} fact2: ({GR}{b} & {JG}{b}) fact3: ¬{C}{a} fact4: {A}{a} fact5: ({A}{a} & {B}{a}) -> ¬{C}{b} fact6: {B}{n} fact7: {B}{a} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact4 & fact7 -> int1: ({A}{a} & {B}{a}); int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãã·ã¡ãLv.5ã¯è»éä¿®æ£ããªã | ¬{A}{a} | fact1: ãã®ã·ãã·ã¡ãLv.5ã¯è¿ãããã fact2: ãã®ãããã¡ã
Lv.25ã¯è»éä¿®æ£ãã fact3: ä»®ã«ããã®ã¿ãã¿ã«ã
Lv.19ã¯å·Šå³ããæããªãããã©ããã¯è»éä¿®æ£ããããšããããšã¯æ£ãããªããªãã°ãã®ã·ãã·ã¡ãLv.5ã¯è»éä¿®æ£ããªã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æž©ã fact5: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è»éä¿®æ£ãã | fact1: {JD}{a} fact2: {A}{ii} fact3: ¬(¬{B}{b} & {A}{b}) -> ¬{A}{a} fact4: (x): {DE}x fact5: (x): {A}x | [
"fact5 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è»éä¿®æ£ãã; int1 -> hypothesis;"
] | [
"fact5 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ã·ãã·ã¡ãLv.5ã¯è»éä¿®æ£ããªã | ¬{A}{a} | [] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ã¡ãLv.5ã¯è¿ãããã fact2: ãã®ãããã¡ã
Lv.25ã¯è»éä¿®æ£ãã fact3: ä»®ã«ããã®ã¿ãã¿ã«ã
Lv.19ã¯å·Šå³ããæããªãããã©ããã¯è»éä¿®æ£ããããšããããšã¯æ£ãããªããªãã°ãã®ã·ãã·ã¡ãLv.5ã¯è»éä¿®æ£ããªã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æž©ã fact5: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è»éä¿®æ£ãã ; $hypothesis$ = ãã®ã·ãã·ã¡ãLv.5ã¯è»éä¿®æ£ããªã ; $proof$ = | fact5 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è»éä¿®æ£ãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {JD}{a} fact2: {A}{ii} fact3: ¬(¬{B}{b} & {A}{b}) -> ¬{A}{a} fact4: (x): {DE}x fact5: (x): {A}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact5 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽãªãŽãLv.30ã¯çãæ·±ã | {C}{a} | fact1: ãã®ãŽãªãŽãLv.30ã¯ç²åŽãæããåã fact2: ããããã®ãŽãªãŽãLv.30ãåããšãããããã¯çãæ·±ã fact3: ãã®ãŽãªãŽãLv.30ã¯ç²åŽãæããããã«ããã¯äŸå€ç¡ã | fact1: ({A}{a} & {B}{a}) fact2: {B}{a} -> {C}{a} fact3: ({A}{a} & {HF}{a}) | [
"fact1 -> int1: ãã®ãŽãªãŽãLv.30ã¯åã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŽãªãŽãLv.30ã¯ç²åŽãæããåã fact2: ããããã®ãŽãªãŽãLv.30ãåããšãããããã¯çãæ·±ã fact3: ãã®ãŽãªãŽãLv.30ã¯ç²åŽãæããããã«ããã¯äŸå€ç¡ã ; $hypothesis$ = ãã®ãŽãªãŽãLv.30ã¯çãæ·±ã ; $proof$ = | fact1 -> int1: ãã®ãŽãªãŽãLv.30ã¯åã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {B}{a} -> {C}{a} fact3: ({A}{a} & {HF}{a}) ; $hypothesis$ = {C}{a} ; $proof$ = | fact1 -> int1: {B}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ã人éèããšããããšãèµ·ããããšããããšã¯æ¬åœã§ãã | {A} | fact1: ãããããããããšããããšã¯çããªããšãããšã人éèããšããããšãšæ·±ããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: 人éèããšããããšã¯çºçããªããšããããšã¯æ·±ããšããããšã«é»æ¢ããã fact3: ããŽããŽãLv.91äºä»¶ã¯èµ·ããªãããã©ããããLv.5äºä»¶ãèµ·ããããšããããšã¯ãæ·±ããšããããšãèµ·ããããšããããšãåŒãèµ·ãã fact4: ã人éèããšããããšãšæ·±ããšããããšäž¡æ¹ãçºçããããšããããšã¯æãç«ããªããšãããšäººéèããšããããšã¯çããªã | fact1: ¬{C} -> ¬({A} & {B}) fact2: {B} -> {A} fact3: (¬{AA} & {AB}) -> {B} fact4: ¬({A} & {B}) -> ¬{A} | [] | [] | 人éèããšããããšã¯èµ·ããªã | ¬{A} | [] | 7 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããããããšããããšã¯çããªããšãããšã人éèããšããããšãšæ·±ããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: 人éèããšããããšã¯çºçããªããšããããšã¯æ·±ããšããããšã«é»æ¢ããã fact3: ããŽããŽãLv.91äºä»¶ã¯èµ·ããªãããã©ããããLv.5äºä»¶ãèµ·ããããšããããšã¯ãæ·±ããšããããšãèµ·ããããšããããšãåŒãèµ·ãã fact4: ã人éèããšããããšãšæ·±ããšããããšäž¡æ¹ãçºçããããšããããšã¯æãç«ããªããšãããšäººéèããšããããšã¯çããªã ; $hypothesis$ = ã人éèããšããããšãèµ·ããããšããããšã¯æ¬åœã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{C} -> ¬({A} & {B}) fact2: {B} -> {A} fact3: (¬{AA} & {AB}) -> {B} fact4: ¬({A} & {B}) -> ¬{A} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ããä»®ã«ãã€ã£ãããªããªãã°åºãŒãããŸãã¯äžç
®ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã | ¬((Ex): ¬{A}x -> ({AA}x v {AB}x)) | fact1: èŠã
ãããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯å ãããããã¯è¶³çãããããŸãã¯äž¡æ¹ã§ãã fact2: ããä»®ã«ãã®ãŽããŽã«ã
Lv.44ããã€ã£ãããšããã°ãã®ãŽããŽã«ã
Lv.44ã¯åºãŒãããããã¯ããã¯äžç
®ããããŸãã¯äž¡æ¹ã fact3: ãã€ã£ããã¢ã³ã¹ã¿ãŒã¯åºãŒãããããã¯äžç
®ãããäž¡æ¹ã fact4: ãããä»®ã«ãã€ã£ãããšããã°åºãŒããäžç
®ããããããã¯ã©ã¡ããã§ãããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ãããã蚌ããªãããšããããšã¯æ¬åœã§ãããªãã°åœã€ãæãé£ããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãã€ã£ãããªãã¢ã³ã¹ã¿ãŒã¯åºãŒãããããã¯äžç
®ãããã©ã¡ããã | fact1: (x): ¬{BA}x -> ({CK}x v {AS}x) fact2: {A}{aa} -> ({AA}{aa} v {AB}{aa}) fact3: (x): {A}x -> ({AA}x v {AB}x) fact4: (Ex): {A}x -> ({AA}x v {AB}x) fact5: (Ex): ¬{FB}x -> ({BM}x v {DA}x) fact6: (x): ¬{A}x -> ({AA}x v {AB}x) | [
"fact6 -> int1: ä»®ã«ãã®ãŽããŽã«ã
Lv.44ã¯ãã€ã£ãããªããªãåºãŒããäžç
®ããããããã¯äž¡æ¹ãšãã§ãã; int1 -> hypothesis;"
] | [
"fact6 -> int1: ¬{A}{aa} -> ({AA}{aa} v {AB}{aa}); int1 -> hypothesis;"
] | ããä»®ã«ãã®ãŽã«ãŽã¡ãLv.22ãèŠã
ãããªããšãããšãã®ãŽã«ãŽã¡ãLv.22ã¯å ãããããã¯è¶³çãããããŸãã¯äž¡æ¹ã§ãã | ¬{BA}{fu} -> ({CK}{fu} v {AS}{fu}) | [
"fact7 -> hypothesis;"
] | 1 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: èŠã
ãããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯å ãããããã¯è¶³çãããããŸãã¯äž¡æ¹ã§ãã fact2: ããä»®ã«ãã®ãŽããŽã«ã
Lv.44ããã€ã£ãããšããã°ãã®ãŽããŽã«ã
Lv.44ã¯åºãŒãããããã¯ããã¯äžç
®ããããŸãã¯äž¡æ¹ã fact3: ãã€ã£ããã¢ã³ã¹ã¿ãŒã¯åºãŒãããããã¯äžç
®ãããäž¡æ¹ã fact4: ãããä»®ã«ãã€ã£ãããšããã°åºãŒããäžç
®ããããããã¯ã©ã¡ããã§ãããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ãããã蚌ããªãããšããããšã¯æ¬åœã§ãããªãã°åœã€ãæãé£ããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãã€ã£ãããªãã¢ã³ã¹ã¿ãŒã¯åºãŒãããããã¯äžç
®ãããã©ã¡ããã ; $hypothesis$ = ããä»®ã«ãã€ã£ãããªããªãã°åºãŒãããŸãã¯äžç
®ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã ; $proof$ = | fact6 -> int1: ä»®ã«ãã®ãŽããŽã«ã
Lv.44ã¯ãã€ã£ãããªããªãåºãŒããäžç
®ããããããã¯äž¡æ¹ãšãã§ãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{BA}x -> ({CK}x v {AS}x) fact2: {A}{aa} -> ({AA}{aa} v {AB}{aa}) fact3: (x): {A}x -> ({AA}x v {AB}x) fact4: (Ex): {A}x -> ({AA}x v {AB}x) fact5: (Ex): ¬{FB}x -> ({BM}x v {DA}x) fact6: (x): ¬{A}x -> ({AA}x v {AB}x) ; $hypothesis$ = ¬((Ex): ¬{A}x -> ({AA}x v {AB}x)) ; $proof$ = | fact6 -> int1: ¬{A}{aa} -> ({AA}{aa} v {AB}{aa}); int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ã®Lv.44ã¯æ©ãèŸã | {A}{a} | fact1: ãäœããã®ã¢ã³ã¹ã¿ãŒããã£ããªããªããšãããšå€§æ¥ããªãããããã¯èŠ³å¯ãæããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | fact1: fake_formula | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãäœããã®ã¢ã³ã¹ã¿ãŒããã£ããªããªããšãããšå€§æ¥ããªãããããã¯èŠ³å¯ãæããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $hypothesis$ = ãã®ã·ãã·ã®Lv.44ã¯æ©ãèŸã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãæããããšããããšã¯èµ·ãããªãããšããããšã¯æ£ãã | ¬{C} | fact1: èŠçªããããšããããšãšã·ã¡ãã·ã«ã
Lv.58äºä»¶ãèµ·ããã¯æããããšããããšãé»ã fact2: èŠçªããããšããããšãèµ·ãã | fact1: ({A} & {B}) -> ¬{C} fact2: {A} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: èŠçªããããšããããšãšã·ã¡ãã·ã«ã
Lv.58äºä»¶ãèµ·ããã¯æããããšããããšãé»ã fact2: èŠçªããããšããããšãèµ·ãã ; $hypothesis$ = ãæããããšããããšã¯èµ·ãããªãããšããããšã¯æ£ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) -> ¬{C} fact2: {A} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ããå
¬åŒçºè¡šããããšãèµ·ãããåãéããããšãèµ·ããããšããããšã¯æãç«ã€ããšããããšã¯èª€ãã§ãã | ¬({B} & {C}) | fact1: å
¬åŒçºè¡šããããšã¯çããªããšããããšã¯ãã¡ã
ããªLv.24äºä»¶ã«é²ããã fact2: ããœããœãLv.27äºä»¶ãçºçããããšããããšã¯äºå®ã§ãã fact3: ãã¡ã
ããªLv.24äºä»¶ãèµ·ãã fact4: æ§åããããšããããšã¯ã¿ãã¿ãLv.82äºä»¶ã¯èµ·ããªããšããããšãé²ã fact5: åãéããããšãèµ·ãã fact6: ãã«ããLv.0äºä»¶ãçºçãã | fact1: {A} -> {B} fact2: {GQ} fact3: {A} fact4: {JB} -> {P} fact5: {C} fact6: {BD} | [
"fact1 & fact3 -> int1: å
¬åŒçºè¡šããããšãçºçãã; int1 & fact5 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}; int1 & fact5 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: å
¬åŒçºè¡šããããšã¯çããªããšããããšã¯ãã¡ã
ããªLv.24äºä»¶ã«é²ããã fact2: ããœããœãLv.27äºä»¶ãçºçããããšããããšã¯äºå®ã§ãã fact3: ãã¡ã
ããªLv.24äºä»¶ãèµ·ãã fact4: æ§åããããšããããšã¯ã¿ãã¿ãLv.82äºä»¶ã¯èµ·ããªããšããããšãé²ã fact5: åãéããããšãèµ·ãã fact6: ãã«ããLv.0äºä»¶ãçºçãã ; $hypothesis$ = ããå
¬åŒçºè¡šããããšãèµ·ãããåãéããããšãèµ·ããããšããããšã¯æãç«ã€ããšããããšã¯èª€ãã§ãã ; $proof$ = | fact1 & fact3 -> int1: å
¬åŒçºè¡šããããšãçºçãã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {B} fact2: {GQ} fact3: {A} fact4: {JB} -> {P} fact5: {C} fact6: {BD} ; $hypothesis$ = ¬({B} & {C}) ; $proof$ = | fact1 & fact3 -> int1: {B}; int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœããœãLv.43ã¯è¿ãããããªãããšããããšã¯ç¢ºãã§ãã | ¬{AB}{b} | fact1: ãã®ãœããœãLv.43ã¯å£å§ãã fact2: ããä»®ã«ãã®ã·ãã·ãLv.30ãç¹°ããšããããšã¯ãªããšãããšãã®ãœããœãLv.43ã¯å£å§ãããè¿ãããã fact3: ãã®ã·ãã·ãLv.30ã¯ç¹°ããªã fact4: ããããã®ã·ãã·ãLv.30ã¯ç¹°ããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãããšããã°ãã®ãœããœãLv.43ã¯å£å§ãã | fact1: {AA}{b} fact2: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact3: ¬{A}{a} fact4: ¬{A}{a} -> {AA}{b} | [
"fact2 & fact3 -> int1: ãã®ãœããœãLv.43ã¯å£å§ãããŠè¿ãããã; int1 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: ({AA}{b} & {AB}{b}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãœããœãLv.43ã¯å£å§ãã fact2: ããä»®ã«ãã®ã·ãã·ãLv.30ãç¹°ããšããããšã¯ãªããšãããšãã®ãœããœãLv.43ã¯å£å§ãããè¿ãããã fact3: ãã®ã·ãã·ãLv.30ã¯ç¹°ããªã fact4: ããããã®ã·ãã·ãLv.30ã¯ç¹°ããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãããšããã°ãã®ãœããœãLv.43ã¯å£å§ãã ; $hypothesis$ = ããã®ãœããœãLv.43ã¯è¿ãããããªãããšããããšã¯ç¢ºãã§ãã ; $proof$ = | fact2 & fact3 -> int1: ãã®ãœããœãLv.43ã¯å£å§ãããŠè¿ãããã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {AA}{b} fact2: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact3: ¬{A}{a} fact4: ¬{A}{a} -> {AA}{b} ; $hypothesis$ = ¬{AB}{b} ; $proof$ = | fact2 & fact3 -> int1: ({AA}{b} & {AB}{b}); int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœããœãLv.46ã¯å®¿å¶ãããå ããŠããã¯çãŸãæ〠| ({B}{a} & {C}{a}) | fact1: ãããã¢ã³ã¹ã¿ãŒã¯å¯ç¬ããªãããããã¯ããã¯çãŸãæããªãããããã¯äž¡æ¹ã ããšããããšã¯æ£ãããªããªãå€ãé£ã fact2: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯å€ãé£ããªããšãããšã宿å¶ããããŸãããã¯çãŸãæã€ããšããããšã¯æãç«ããªã fact3: å€ãé£ãã¢ã³ã¹ã¿ãŒã¯å®¿å¶ãã fact4: ãã®ãœããœãLv.46ã¯çãŸãæ〠fact5: ãã®ãœããœãLv.46ã¯å€ãé£ããããã«å®¿å¶ãã fact6: ããä»®ã«ãã®ãœããœãLv.46ããã£ããªããªãããŸãã¯èžèŠãããšããããã®ãœããœãLv.46ã¯å¯ç¬ããªã fact7: ãã®ãŽã¡ããŽã«ãLv.70ã¯çãŸãæ〠| fact1: (x): ¬(¬{D}x v ¬{C}x) -> {A}x fact2: (x): ¬{A}x -> ¬({B}x & {C}x) fact3: (x): {A}x -> {B}x fact4: {C}{a} fact5: ({A}{a} & {B}{a}) fact6: (¬{F}{a} v {E}{a}) -> ¬{D}{a} fact7: {C}{bc} | [
"fact5 -> int1: ãã®ãœããœãLv.46ã¯å®¿å¶ãã; int1 & fact4 -> hypothesis;"
] | [
"fact5 -> int1: {B}{a}; int1 & fact4 -> hypothesis;"
] | ãããã®ãœããœãLv.46ã¯å®¿å¶ãããçãŸãæã€ããšããããšã¯æãç«ã€ããšããããšã¯äºå®ãšç°ãªã | ¬({B}{a} & {C}{a}) | [
"fact8 -> int2: ãããä»®ã«ãã®ãœããœãLv.46ã¯å€ãé£ããªããšããã°ããã®ãœããœãLv.46ã¯å®¿å¶ãããçãŸãæã€ããšããããšã¯ééã£ãŠããããšããããšã¯äºå®ã ;"
] | 4 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã¢ã³ã¹ã¿ãŒã¯å¯ç¬ããªãããããã¯ããã¯çãŸãæããªãããããã¯äž¡æ¹ã ããšããããšã¯æ£ãããªããªãå€ãé£ã fact2: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯å€ãé£ããªããšãããšã宿å¶ããããŸãããã¯çãŸãæã€ããšããããšã¯æãç«ããªã fact3: å€ãé£ãã¢ã³ã¹ã¿ãŒã¯å®¿å¶ãã fact4: ãã®ãœããœãLv.46ã¯çãŸãæ〠fact5: ãã®ãœããœãLv.46ã¯å€ãé£ããããã«å®¿å¶ãã fact6: ããä»®ã«ãã®ãœããœãLv.46ããã£ããªããªãããŸãã¯èžèŠãããšããããã®ãœããœãLv.46ã¯å¯ç¬ããªã fact7: ãã®ãŽã¡ããŽã«ãLv.70ã¯çãŸãæ〠; $hypothesis$ = ãã®ãœããœãLv.46ã¯å®¿å¶ãããå ããŠããã¯çãŸãæ〠; $proof$ = | fact5 -> int1: ãã®ãœããœãLv.46ã¯å®¿å¶ãã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬(¬{D}x v ¬{C}x) -> {A}x fact2: (x): ¬{A}x -> ¬({B}x & {C}x) fact3: (x): {A}x -> {B}x fact4: {C}{a} fact5: ({A}{a} & {B}{a}) fact6: (¬{F}{a} v {E}{a}) -> ¬{D}{a} fact7: {C}{bc} ; $hypothesis$ = ({B}{a} & {C}{a}) ; $proof$ = | fact5 -> int1: {B}{a}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãããã®ããããLv.75ã¯èŸæ°èããŠããã¯æž©ããããšããããšã¯æ¬åœã§ããããšããããšã¯æãç«ããªã | ¬({B}{a} & {C}{a}) | fact1: ãã®ããããLv.75ãåãå
¥ãæãããã®äžããã¯èŸæ°èã fact2: ãã®ããããLv.75ã¯æž©ãã | fact1: ({A}{a} & {B}{a}) fact2: {C}{a} | [
"fact1 -> int1: ãã®ããããLv.75ã¯èŸæ°èã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ããããLv.75ãåãå
¥ãæãããã®äžããã¯èŸæ°èã fact2: ãã®ããããLv.75ã¯æž©ãã ; $hypothesis$ = ãããã®ããããLv.75ã¯èŸæ°èããŠããã¯æž©ããããšããããšã¯æ¬åœã§ããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ãã®ããããLv.75ã¯èŸæ°èã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {C}{a} ; $hypothesis$ = ¬({B}{a} & {C}{a}) ; $proof$ = | fact1 -> int1: {B}{a}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ã®Lv.4ã¯æšãã£ãããã | {A}{a} | fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æšãã£ãããã | fact1: (x): {A}x | [
"fact1 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æšãã£ãããã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æšãã£ãããã ; $hypothesis$ = ãã®ã·ãã·ã®Lv.4ã¯æšãã£ãããã ; $proof$ = | fact1 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æšãã£ãããã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãã¡ãããLv.15ã¯ææ
æ·±ããŠèããé£ãããšããããšã¯åœã | ¬({C}{a} & {A}{a}) | fact1: ãã®ãã¡ãããLv.15ã¯èããé£ããããã¯é¬±é¶ãã | fact1: ({A}{a} & {B}{a}) | [
"fact1 -> int1: ãã®ãã¡ãããLv.15ã¯èããé£ã;"
] | [
"fact1 -> int1: {A}{a};"
] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãã¡ãããLv.15ã¯èããé£ããããã¯é¬±é¶ãã ; $hypothesis$ = ããã®ãã¡ãããLv.15ã¯ææ
æ·±ããŠèããé£ãããšããããšã¯åœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬({C}{a} & {A}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ãŽãLv.25ã¯éåä¿¡ããªã | ¬{C}{a} | fact1: ãªãããã®ã¢ã³ã¹ã¿ãŒãè¬èŠããªããšãããšéåä¿¡ããªã fact2: ãã®ãŽã«ãŽãLv.25ã¯è¬èŠãããå ããŠããã¯æµ
é»ã fact3: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãçãããªããšãããšããã¯éåä¿¡ããªããæãæã fact4: ããã®ãŽã«ãŽãLv.25ã¯è¬èŠããããšããããšã¯æãç«ã€ fact5: ããã®ãŽã«ãŽãLv.25ã¯çãããªãäžæ¹ã§é
žåãé£ãããšããããšã¯ééã£ãŠãããšããã°ãã®ã¿ã¡ãã¿ãLv.92ã¯çããããšããããšã¯ãªã | fact1: (x): ¬{A}x -> ¬{C}x fact2: ({A}{a} & {B}{a}) fact3: (x): ¬{E}x -> (¬{C}x & {D}x) fact4: {A}{a} fact5: ¬(¬{E}{a} & {G}{a}) -> ¬{E}{gk} | [
"fact2 -> int1: ãã®ãŽã«ãŽãLv.25ã¯æµ
é»ã;"
] | [
"fact2 -> int1: {B}{a};"
] | ãã®ãŽã«ãŽãLv.25ã¯éåä¿¡ããªã | ¬{C}{a} | [
"fact6 -> int2: ä»®ã«ãã®ãŽã«ãŽãLv.25ã¯è¬èŠããªããšããã°ãããã¯éåä¿¡ããªãããšããããšã¯æãç«ã€;"
] | 5 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãªãããã®ã¢ã³ã¹ã¿ãŒãè¬èŠããªããšãããšéåä¿¡ããªã fact2: ãã®ãŽã«ãŽãLv.25ã¯è¬èŠãããå ããŠããã¯æµ
é»ã fact3: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãçãããªããšãããšããã¯éåä¿¡ããªããæãæã fact4: ããã®ãŽã«ãŽãLv.25ã¯è¬èŠããããšããããšã¯æãç«ã€ fact5: ããã®ãŽã«ãŽãLv.25ã¯çãããªãäžæ¹ã§é
žåãé£ãããšããããšã¯ééã£ãŠãããšããã°ãã®ã¿ã¡ãã¿ãLv.92ã¯çããããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŽã«ãŽãLv.25ã¯éåä¿¡ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> ¬{C}x fact2: ({A}{a} & {B}{a}) fact3: (x): ¬{E}x -> (¬{C}x & {D}x) fact4: {A}{a} fact5: ¬(¬{E}{a} & {G}{a}) -> ¬{E}{gk} ; $hypothesis$ = ¬{C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | 埡åºããšããããšã¯çºçããªã | ¬{B} | fact1: ã埡åºããšããããšã¯çºçããªãããšããããšã¯ããããLv.32äºä»¶ã«é²ããã fact2: ããããLv.32äºä»¶ãèµ·ãã | fact1: {A} -> {B} fact2: {A} | [
"fact2 -> int1: ããããLv.32äºä»¶ãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ã埡åºããšããããšã¯çºçããªãããšããããšã¯ããããLv.32äºä»¶ã«é²ããã fact2: ããããLv.32äºä»¶ãèµ·ãã ; $hypothesis$ = 埡åºããšããããšã¯çºçããªã ; $proof$ = | fact2 -> int1: ããããLv.32äºä»¶ãèµ·ãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {B} fact2: {A} ; $hypothesis$ = ¬{B} ; $proof$ = | fact2 -> int1: {A}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãŸããŸã¡ãLv.63äºä»¶ãçãã | {C} | fact1: ããŸããŸã¡ãLv.63äºä»¶ã¯èµ·ãããªãããšããããšã¯ãœã®ãœãLv.75äºä»¶ã«é»ãŸãã fact2: ãœã®ãœãLv.75äºä»¶ãèµ·ãããã¿ãã¿ãªLv.73äºä»¶ãçãã fact3: ã¿ãã¿ãªLv.73äºä»¶ã¯èµ·ããªããšããããšã¯ããã«ãããLv.93äºä»¶ãšãœã®ãœãLv.75äºä»¶äž¡æ¹ãšããèµ·ããããšããããšã®ãã£ãããšãªã | fact1: {A} -> {C} fact2: ({A} & {B}) fact3: ¬{B} -> ({EE} & {A}) | [
"fact2 -> int1: ãœã®ãœãLv.75äºä»¶ãçºçãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact1 -> hypothesis;"
] | ãã«ãããLv.93äºä»¶ãçºçãã | {EE} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããŸããŸã¡ãLv.63äºä»¶ã¯èµ·ãããªãããšããããšã¯ãœã®ãœãLv.75äºä»¶ã«é»ãŸãã fact2: ãœã®ãœãLv.75äºä»¶ãèµ·ãããã¿ãã¿ãªLv.73äºä»¶ãçãã fact3: ã¿ãã¿ãªLv.73äºä»¶ã¯èµ·ããªããšããããšã¯ããã«ãããLv.93äºä»¶ãšãœã®ãœãLv.75äºä»¶äž¡æ¹ãšããèµ·ããããšããããšã®ãã£ãããšãªã ; $hypothesis$ = ãŸããŸã¡ãLv.63äºä»¶ãçãã ; $proof$ = | fact2 -> int1: ãœã®ãœãLv.75äºä»¶ãçºçãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} -> {C} fact2: ({A} & {B}) fact3: ¬{B} -> ({EE} & {A}) ; $hypothesis$ = {C} ; $proof$ = | fact2 -> int1: {A}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãªã·ã«ã
Lv.11ã¯äººæãã | {A}{a} | fact1: ãã®ãœã«ããœãLv.33ã¯äººæãã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯éŒå¡ãã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äººæãã fact4: ããããã¢ã³ã¹ã¿ãŒã¯åãå§ãã fact5: éè²ç¡ããªãã¢ã³ã¹ã¿ãŒã¯åŸ¡åºããããã人æãã | fact1: {A}{jj} fact2: (x): {DJ}x fact3: (x): {A}x fact4: (x): {HP}x fact5: (x): ¬{B}x -> ({FI}x & {A}x) | [
"fact3 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äººæãã; int1 -> hypothesis;"
] | [
"fact3 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãããããã¢ã³ã¹ã¿ãŒã¯åŸ¡åºãããšããããšã¯çå®ã | (x): {FI}x | [
"fact6 -> int2: ãããã®ã·ãªã·ã«ã
Lv.11ãéè²ç¡ããªããšãããšãã®ã·ãªã·ã«ã
Lv.11ã¯åŸ¡åºããŠæŽã«äººæãã;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãœã«ããœãLv.33ã¯äººæãã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯éŒå¡ãã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äººæãã fact4: ããããã¢ã³ã¹ã¿ãŒã¯åãå§ãã fact5: éè²ç¡ããªãã¢ã³ã¹ã¿ãŒã¯åŸ¡åºããããã人æãã ; $hypothesis$ = ãã®ã·ãªã·ã«ã
Lv.11ã¯äººæãã ; $proof$ = | fact3 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äººæãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{jj} fact2: (x): {DJ}x fact3: (x): {A}x fact4: (x): {HP}x fact5: (x): ¬{B}x -> ({FI}x & {A}x) ; $hypothesis$ = {A}{a} ; $proof$ = | fact3 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ã¡ã
ã¿ãLv.55ã¯æãæããããã¯æµã¿æ·±ãããšããããšã¯æãç«ããªã | ¬({A}{a} v {B}{a}) | fact1: 埡æ©ããªãã¢ã³ã¹ã¿ãŒã§ãã£ãŠããã«æçããªãã¢ã³ã¹ã¿ãŒã¯ãªã fact2: ããã®ã¿ã¡ã
ã¿ãLv.55ã¯æãæãããšããããšã¯æãç«ã€ fact3: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãé ããªã眹ãæã fact4: ãããã¢ã³ã¹ã¿ãŒã¯æãæããªããæŽã«çœ¹ãæããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãããšããã°æµã¿æ·±ã | fact1: (x): ¬(¬{F}x & ¬{E}x) fact2: {A}{a} fact3: (x): {D}x -> {C}x fact4: (x): ¬(¬{A}x & ¬{C}x) -> {B}x | [
"fact2 -> int1: ããã®ã¿ã¡ã
ã¿ãLv.55ã¯æãæãããšããããšã¯æãç«ã€; int1 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 -> hypothesis;"
] | ãã®ãã«ã
ããLv.74ã¯æµã¿æ·±ã | {B}{en} | [
"fact5 -> int2: ããããã®ãã«ã
ããLv.74ã¯æãæããšããããšã¯ãªããŠããã«çœ¹ãæããšããããšã¯ãªãããšããããšã¯åã§ãããšããã°ããã¯æµã¿æ·±ã; fact6 -> int3: ããã®ã¿ã¡ã
ã¿ãLv.55ã¯åŸ¡æ©ããªããå ããŠæçãããšããããšã¯ãªãããšããããšã¯èª€ãã ;"
] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: 埡æ©ããªãã¢ã³ã¹ã¿ãŒã§ãã£ãŠããã«æçããªãã¢ã³ã¹ã¿ãŒã¯ãªã fact2: ããã®ã¿ã¡ã
ã¿ãLv.55ã¯æãæãããšããããšã¯æãç«ã€ fact3: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãé ããªã眹ãæã fact4: ãããã¢ã³ã¹ã¿ãŒã¯æãæããªããæŽã«çœ¹ãæããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãããšããã°æµã¿æ·±ã ; $hypothesis$ = ããã®ã¿ã¡ã
ã¿ãLv.55ã¯æãæããããã¯æµã¿æ·±ãããšããããšã¯æãç«ããªã ; $proof$ = | fact2 -> int1: ããã®ã¿ã¡ã
ã¿ãLv.55ã¯æãæãããšããããšã¯æãç«ã€; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬(¬{F}x & ¬{E}x) fact2: {A}{a} fact3: (x): {D}x -> {C}x fact4: (x): ¬(¬{A}x & ¬{C}x) -> {B}x ; $hypothesis$ = ¬({A}{a} v {B}{a}) ; $proof$ = | fact2 -> int1: {A}{a}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã¡ããŽã«Lv.56ã¯ç²åŽãæãããã®äžé Œããã | ({C}{a} & {B}{a}) | fact1: ããã®ãŽã¡ããŽã«Lv.56ã¯ä»ãæãããšããããšã¯ééã£ãŠããªã fact2: ãã®ãŽã¡ããŽã«Lv.56ã¯ç²åŽãæã fact3: ãã®ãŽã¡ããŽã«Lv.56ã¯ä»ãæããé Œããã | fact1: {A}{a} fact2: {C}{a} fact3: ({A}{a} & {B}{a}) | [
"fact3 -> int1: ãã®ãŽã¡ããŽã«Lv.56ã¯é Œããã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {B}{a}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ãŽã¡ããŽã«Lv.56ã¯ä»ãæãããšããããšã¯ééã£ãŠããªã fact2: ãã®ãŽã¡ããŽã«Lv.56ã¯ç²åŽãæã fact3: ãã®ãŽã¡ããŽã«Lv.56ã¯ä»ãæããé Œããã ; $hypothesis$ = ãã®ãŽã¡ããŽã«Lv.56ã¯ç²åŽãæãããã®äžé Œããã ; $proof$ = | fact3 -> int1: ãã®ãŽã¡ããŽã«Lv.56ã¯é Œããã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {C}{a} fact3: ({A}{a} & {B}{a}) ; $hypothesis$ = ({C}{a} & {B}{a}) ; $proof$ = | fact3 -> int1: {B}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŸããŸã¡ã
Lv.74ã¯å¿ å®å¿ å®ãããªãäžæ¹ã§ããã¯ãã¯ãŒã¢ããããããšããããšã¯æãç«ããªã | ¬(¬{AA}{aa} & {AB}{aa}) | fact1: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯åŸ¡å®å¿äžãããªããšããããããã¯å¿ å®å¿ å®ãããªããæŽã«ãã¯ãŒã¢ããããããšããããšã¯èª€ãã§ãã fact2: ææ¡ãèŸããªãã¢ã³ã¹ã¿ãŒã¯ãã¯ãŒã¢ããããããã€åŸ¡å®å¿äžãã fact3: ããã¯å®çŸãæããšããããšã¯ãªããŠãã€ææ¡ãèŸããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact4: ããä»®ã«ãã®ãŸããŸã¡ã
Lv.74ãéé£ããŸãããªãããã¯å¿ å®å¿ å®ãããªãäžæ¹ã§åºããé£ã fact5: ãã®ãŸããŸã¡ã
Lv.74ã¯åŸ¡å®å¿äžãããªã | fact1: (x): ¬{A}x -> ¬(¬{AA}x & {AB}x) fact2: (x): ¬{E}x -> ({AB}x & {A}x) fact3: (x): ¬(¬{F}x & {E}x) fact4: {C}{aa} -> (¬{AA}{aa} & {B}{aa}) fact5: ¬{A}{aa} | [
"fact1 -> int1: ãããã®ãŸããŸã¡ã
Lv.74ã¯åŸ¡å®å¿äžãããªããšãããããã®ãŸããŸã¡ã
Lv.74ã¯å¿ å®å¿ å®ãããšããããšã¯ãªããã©ãã¯ãŒã¢ããããããšããããšã¯èª€ã£ãŠãã; int1 & fact5 -> hypothesis;"
] | [
"fact1 -> int1: ¬{A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact5 -> hypothesis;"
] | ãã®ãŸããŸã¡ã
Lv.74ã¯å¿ å®å¿ å®ãããªããããã¯ãã¯ãŒã¢ãããã | (¬{AA}{aa} & {AB}{aa}) | [
"fact7 -> int2: ããããã®ãŽã«ãŽãLv.19ãææ¡ãèŸããªããšãããšãã®ãŽã«ãŽãLv.19ã¯ãã¯ãŒã¢ããããããŸã埡å®å¿äžãã; fact6 -> int3: ãããã®ã¿ã«ã
ã¿ãLv.87ã¯å®çŸãæããªãããããææ¡ãèŸãããšããããšã¯ééãã ããšããããšã¯äºå®ã§ãã;"
] | 9 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯åŸ¡å®å¿äžãããªããšããããããã¯å¿ å®å¿ å®ãããªããæŽã«ãã¯ãŒã¢ããããããšããããšã¯èª€ãã§ãã fact2: ææ¡ãèŸããªãã¢ã³ã¹ã¿ãŒã¯ãã¯ãŒã¢ããããããã€åŸ¡å®å¿äžãã fact3: ããã¯å®çŸãæããšããããšã¯ãªããŠãã€ææ¡ãèŸããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact4: ããä»®ã«ãã®ãŸããŸã¡ã
Lv.74ãéé£ããŸãããªãããã¯å¿ å®å¿ å®ãããªãäžæ¹ã§åºããé£ã fact5: ãã®ãŸããŸã¡ã
Lv.74ã¯åŸ¡å®å¿äžãããªã ; $hypothesis$ = ããã®ãŸããŸã¡ã
Lv.74ã¯å¿ å®å¿ å®ãããªãäžæ¹ã§ããã¯ãã¯ãŒã¢ããããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ãããã®ãŸããŸã¡ã
Lv.74ã¯åŸ¡å®å¿äžãããªããšãããããã®ãŸããŸã¡ã
Lv.74ã¯å¿ å®å¿ å®ãããšããããšã¯ãªããã©ãã¯ãŒã¢ããããããšããããšã¯èª€ã£ãŠãã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬(¬{AA}x & {AB}x) fact2: (x): ¬{E}x -> ({AB}x & {A}x) fact3: (x): ¬(¬{F}x & {E}x) fact4: {C}{aa} -> (¬{AA}{aa} & {B}{aa}) fact5: ¬{A}{aa} ; $hypothesis$ = ¬(¬{AA}{aa} & {AB}{aa}) ; $proof$ = | fact1 -> int1: ¬{A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãŽããŽãLv.46äºä»¶ãçºçãã | {C} | fact1: ãèµ·ããé£ããšããããšã¯çããªãããšããããšã¯ãã·ã«ã
ã·ã«ãLv.1äºä»¶ãçãããããŸãã«é¯ä¹±ããããšãèµ·ããããšããããšãå¥æ©ã fact2: èŠå¢ç¡ããšããããšãèµ·ãã fact3: æ
æ²æ·±ããšããããšãšèŠå¢ç¡ããšããããšãèµ·ããã¯ãŽããŽãLv.46äºä»¶ãåé¿ãã fact4: åãæããšããããšãšã·ã«ã
ã·ãLv.47äºä»¶ãçãã fact5: èŠå¢ç¡ããšããããšã¯èµ·ãããªããšããã°æ
æ²æ·±ããšããããšãšãŽã«ããŽã«Lv.75äºä»¶ãçºçãã fact6: ãæ
æ²æ·±ããšããããšãçºçããããšããããšã¯äºå®ã fact7: èŠå¢ç¡ããšããããšã¯èµ·ããªããªãæ
æ²æ·±ããšããããšãšãŽããŽãLv.46äºä»¶ãçãã | fact1: ({BM} & {DA}) -> ¬{CE} fact2: {B} fact3: ({A} & {B}) -> ¬{C} fact4: ({II} & {AU}) fact5: ¬{B} -> ({A} & {AR}) fact6: {A} fact7: ¬{B} -> ({A} & {C}) | [
"fact6 & fact2 -> int1: æ
æ²æ·±ããšããããšãçºçãããèŠå¢ç¡ããšããããšãèµ·ãã; int1 & fact3 -> hypothesis;"
] | [
"fact6 & fact2 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis;"
] | ãŽã«ããŽã«Lv.75äºä»¶ããã³ãã®ããLv.72äºä»¶ã©ã¡ãããèµ·ãã | ({AR} & {BE}) | [] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãèµ·ããé£ããšããããšã¯çããªãããšããããšã¯ãã·ã«ã
ã·ã«ãLv.1äºä»¶ãçãããããŸãã«é¯ä¹±ããããšãèµ·ããããšããããšãå¥æ©ã fact2: èŠå¢ç¡ããšããããšãèµ·ãã fact3: æ
æ²æ·±ããšããããšãšèŠå¢ç¡ããšããããšãèµ·ããã¯ãŽããŽãLv.46äºä»¶ãåé¿ãã fact4: åãæããšããããšãšã·ã«ã
ã·ãLv.47äºä»¶ãçãã fact5: èŠå¢ç¡ããšããããšã¯èµ·ãããªããšããã°æ
æ²æ·±ããšããããšãšãŽã«ããŽã«Lv.75äºä»¶ãçºçãã fact6: ãæ
æ²æ·±ããšããããšãçºçããããšããããšã¯äºå®ã fact7: èŠå¢ç¡ããšããããšã¯èµ·ããªããªãæ
æ²æ·±ããšããããšãšãŽããŽãLv.46äºä»¶ãçãã ; $hypothesis$ = ãŽããŽãLv.46äºä»¶ãçºçãã ; $proof$ = | fact6 & fact2 -> int1: æ
æ²æ·±ããšããããšãçºçãããèŠå¢ç¡ããšããããšãèµ·ãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({BM} & {DA}) -> ¬{CE} fact2: {B} fact3: ({A} & {B}) -> ¬{C} fact4: ({II} & {AU}) fact5: ¬{B} -> ({A} & {AR}) fact6: {A} fact7: ¬{B} -> ({A} & {C}) ; $hypothesis$ = {C} ; $proof$ = | fact6 & fact2 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ã¡ã
ã·ãLv.35ã¯ææãã | {C}{a} | fact1: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.35ãäœãé£ããšãããšææãã fact2: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.35ã¯æ±ãé£ããªããããã¯äœãé£ãããšããããšã¯äºå®ã fact3: ãã®ã·ã¡ã
ã·ãLv.35ã¯æ±ãé£ã fact4: äœãé£ãã¢ã³ã¹ã¿ãŒã¯æ±ãé£ã | fact1: {B}{a} -> {C}{a} fact2: {A}{a} -> {B}{a} fact3: {A}{a} fact4: (x): {B}x -> {A}x | [
"fact2 & fact3 -> int1: ãã®ã·ã¡ã
ã·ãLv.35ã¯äœãé£ã; int1 & fact1 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ãŽããŽã¡ãLv.0ã¯æ±ãé£ã | {A}{fi} | [
"fact5 -> int2: ããä»®ã«ãã®ãŽããŽã¡ãLv.0ãäœãé£ããªãæ±ãé£ã;"
] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.35ãäœãé£ããšãããšææãã fact2: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.35ã¯æ±ãé£ããªããããã¯äœãé£ãããšããããšã¯äºå®ã fact3: ãã®ã·ã¡ã
ã·ãLv.35ã¯æ±ãé£ã fact4: äœãé£ãã¢ã³ã¹ã¿ãŒã¯æ±ãé£ã ; $hypothesis$ = ãã®ã·ã¡ã
ã·ãLv.35ã¯ææãã ; $proof$ = | fact2 & fact3 -> int1: ãã®ã·ã¡ã
ã·ãLv.35ã¯äœãé£ã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> {C}{a} fact2: {A}{a} -> {B}{a} fact3: {A}{a} fact4: (x): {B}x -> {A}x ; $hypothesis$ = {C}{a} ; $proof$ = | fact2 & fact3 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŽããŽã¡ã
Lv.91ã¯å£ãé£ããªããã©è¡ãé£ãããšããããšã¯ééã£ãŠãã | ¬(¬{C}{b} & {B}{b}) | fact1: ããä»®ã«ããã®ã·ãã·ã«ãLv.98ã¯äžãé£ãããšããããšã¯äºå®ãšç°ãªããªããšãããšãã®ãŽããŽã¡ã
Lv.91ã¯äžãé£ã fact2: ããã®ã·ãã·ã«ãLv.98ã¯å°€ããããããšããããšã¯ç¢ºãã fact3: ãã®ãŽããŽã¡ã
Lv.91ã¯å£ãé£ããªã fact4: ããã®ãŽããŽã¡ã
Lv.91ã¯å°€ããããããšããããšã¯æ¬åœãªãã°ããã®ãŽããŽã¡ã
Lv.91ã¯å£ãé£ããªãããã©ããã¯è¡ãé£ãããšããããšã¯èª€ãã§ãã fact5: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯äžãé£ããšãããšãå°€ããããããšããããšã¯æ¬åœã§ãã | fact1: {D}{a} -> {D}{b} fact2: {A}{a} fact3: ¬{C}{b} fact4: {A}{b} -> ¬(¬{C}{b} & {B}{b}) fact5: (x): {D}x -> {A}x | [] | [] | ããã®ãŽããŽã¡ã
Lv.91ã¯å£ãé£ããªããã©è¡ãé£ãããšããããšã¯ééã£ãŠãã | ¬(¬{C}{b} & {B}{b}) | [
"fact6 -> int1: ãããããã®ãŽããŽã¡ã
Lv.91ã¯äžãé£ãããšããããšã¯æãç«ãŠã°ãã®ãŽããŽã¡ã
Lv.91ã¯å°€ãããã;"
] | 7 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ããã®ã·ãã·ã«ãLv.98ã¯äžãé£ãããšããããšã¯äºå®ãšç°ãªããªããšãããšãã®ãŽããŽã¡ã
Lv.91ã¯äžãé£ã fact2: ããã®ã·ãã·ã«ãLv.98ã¯å°€ããããããšããããšã¯ç¢ºãã fact3: ãã®ãŽããŽã¡ã
Lv.91ã¯å£ãé£ããªã fact4: ããã®ãŽããŽã¡ã
Lv.91ã¯å°€ããããããšããããšã¯æ¬åœãªãã°ããã®ãŽããŽã¡ã
Lv.91ã¯å£ãé£ããªãããã©ããã¯è¡ãé£ãããšããããšã¯èª€ãã§ãã fact5: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯äžãé£ããšãããšãå°€ããããããšããããšã¯æ¬åœã§ãã ; $hypothesis$ = ããã®ãŽããŽã¡ã
Lv.91ã¯å£ãé£ããªããã©è¡ãé£ãããšããããšã¯ééã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {D}{a} -> {D}{b} fact2: {A}{a} fact3: ¬{C}{b} fact4: {A}{b} -> ¬(¬{C}{b} & {B}{b}) fact5: (x): {D}x -> {A}x ; $hypothesis$ = ¬(¬{C}{b} & {B}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | æã£ãããšããããšãèµ·ãã | {C} | fact1: ãœãªãœã«Lv.98äºä»¶ãèµ·ãã fact2: 匱ã
ãããšããããšãçãã fact3: 匱ã
ãããšããããšãšãœãªãœã«Lv.98äºä»¶ãèµ·ããã¯æã£ãããšããããšãé»ã fact4: ä»®ã«ãœãªãœã«Lv.98äºä»¶ã¯çããªããšããã匱ã
ãããšããããšããã³ã¿ã¡ãã¿ã«ãLv.25äºä»¶ãèµ·ãã fact5: ããœãªãœã«Lv.98äºä»¶ãèµ·ããªãããã©æã£ãããšããããšã¯çºçããããšããããšã¯ãã¿ãã¿ã¡ãLv.77äºä»¶ã¯èµ·ãããªãããšããããšã«ãããããã | fact1: {B} fact2: {A} fact3: ({A} & {B}) -> ¬{C} fact4: ¬{B} -> ({A} & {AB}) fact5: ¬{D} -> (¬{B} & {C}) | [
"fact2 & fact1 -> int1: 匱ã
ãããšããããšãçºçããããã®äžãœãªãœã«Lv.98äºä»¶ãèµ·ãã; int1 & fact3 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis;"
] | ãã¿ã¡ãã¿ã«ãLv.25äºä»¶ãçããããšããããšã¯äºå®ãšç°ãªããªã | {AB} | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãœãªãœã«Lv.98äºä»¶ãèµ·ãã fact2: 匱ã
ãããšããããšãçãã fact3: 匱ã
ãããšããããšãšãœãªãœã«Lv.98äºä»¶ãèµ·ããã¯æã£ãããšããããšãé»ã fact4: ä»®ã«ãœãªãœã«Lv.98äºä»¶ã¯çããªããšããã匱ã
ãããšããããšããã³ã¿ã¡ãã¿ã«ãLv.25äºä»¶ãèµ·ãã fact5: ããœãªãœã«Lv.98äºä»¶ãèµ·ããªãããã©æã£ãããšããããšã¯çºçããããšããããšã¯ãã¿ãã¿ã¡ãLv.77äºä»¶ã¯èµ·ãããªãããšããããšã«ãããããã ; $hypothesis$ = æã£ãããšããããšãèµ·ãã ; $proof$ = | fact2 & fact1 -> int1: 匱ã
ãããšããããšãçºçããããã®äžãœãªãœã«Lv.98äºä»¶ãèµ·ãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} fact2: {A} fact3: ({A} & {B}) -> ¬{C} fact4: ¬{B} -> ({A} & {AB}) fact5: ¬{D} -> (¬{B} & {C}) ; $hypothesis$ = {C} ; $proof$ = | fact2 & fact1 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã«ã
ããLv.55äºä»¶ãèµ·ãã | {D} | fact1: ãã«ã
ããLv.55äºä»¶ã¯ãåã£ãœããšããããšãçããããšããããšã«èµ·å ãã fact2: åã£ãœããšããããšãèµ·ãããšããããšã¯èãããšããããšãåå ã§ãã fact3: èãããšããããšãçããããããã¯ã·ã«ãã·ã«ã
Lv.55äºä»¶ãçãã fact4: ã·ã«ãã·ã«ã
Lv.55äºä»¶ã¯åã£ãœããšããããšã¯çºçããªããšããããšãé»æ¢ãã | fact1: {C} -> {D} fact2: {A} -> {C} fact3: ({A} v {B}) fact4: {B} -> {C} | [
"fact3 & fact2 & fact4 -> int1: åã£ãœããšããããšãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact2 & fact4 -> int1: {C}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã«ã
ããLv.55äºä»¶ã¯ãåã£ãœããšããããšãçããããšããããšã«èµ·å ãã fact2: åã£ãœããšããããšãèµ·ãããšããããšã¯èãããšããããšãåå ã§ãã fact3: èãããšããããšãçããããããã¯ã·ã«ãã·ã«ã
Lv.55äºä»¶ãçãã fact4: ã·ã«ãã·ã«ã
Lv.55äºä»¶ã¯åã£ãœããšããããšã¯çºçããªããšããããšãé»æ¢ãã ; $hypothesis$ = ãã«ã
ããLv.55äºä»¶ãèµ·ãã ; $proof$ = | fact3 & fact2 & fact4 -> int1: åã£ãœããšããããšãèµ·ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C} -> {D} fact2: {A} -> {C} fact3: ({A} v {B}) fact4: {B} -> {C} ; $hypothesis$ = {D} ; $proof$ = | fact3 & fact2 & fact4 -> int1: {C}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | æž
ããšããããšã¯çããªã | ¬{C} | fact1: ã·ãã·ã«ãLv.39äºä»¶ãèµ·ãã fact2: èå¯ããšããããšãšãããã¡ãLv.87äºä»¶ãèµ·ããã¯ãã·ãã·ãLv.74äºä»¶ã¯èµ·ãããªãããšããããšããã£ããã§ãã fact3: ããããã¡ãLv.87äºä»¶ãèµ·ããããšããããšã¯ãæž
ããšããããšã¯èµ·ããªãããšããããšãåé¿ãã fact4: å¿åŒ·ããšããããšãçºçãããããã«çªåºããããšãèµ·ãã fact5: ãããæž
ããšããããšããã³ãããã¡ãLv.87äºä»¶ã©ã¡ãããçºçããããšããããšã¯æãç«ããªããšããã°æž
ããšããããšã¯èµ·ãããªã fact6: ãããã¡ãLv.87äºä»¶ãšã·ãã·ãLv.74äºä»¶ãèµ·ãã | fact1: {JA} fact2: ¬{B} -> ({HP} & {A}) fact3: {A} -> {C} fact4: ({GG} & {GP}) fact5: ¬({C} & {A}) -> ¬{C} fact6: ({A} & {B}) | [
"fact6 -> int1: ããããã¡ãLv.87äºä»¶ãèµ·ããããšããããšã¯æãç«ã€; int1 & fact3 -> hypothesis;"
] | [
"fact6 -> int1: {A}; int1 & fact3 -> hypothesis;"
] | æž
ããšããããšã¯çããªã | ¬{C} | [] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã·ãã·ã«ãLv.39äºä»¶ãèµ·ãã fact2: èå¯ããšããããšãšãããã¡ãLv.87äºä»¶ãèµ·ããã¯ãã·ãã·ãLv.74äºä»¶ã¯èµ·ãããªãããšããããšããã£ããã§ãã fact3: ããããã¡ãLv.87äºä»¶ãèµ·ããããšããããšã¯ãæž
ããšããããšã¯èµ·ããªãããšããããšãåé¿ãã fact4: å¿åŒ·ããšããããšãçºçãããããã«çªåºããããšãèµ·ãã fact5: ãããæž
ããšããããšããã³ãããã¡ãLv.87äºä»¶ã©ã¡ãããçºçããããšããããšã¯æãç«ããªããšããã°æž
ããšããããšã¯èµ·ãããªã fact6: ãããã¡ãLv.87äºä»¶ãšã·ãã·ãLv.74äºä»¶ãèµ·ãã ; $hypothesis$ = æž
ããšããããšã¯çããªã ; $proof$ = | fact6 -> int1: ããããã¡ãLv.87äºä»¶ãèµ·ããããšããããšã¯æãç«ã€; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {JA} fact2: ¬{B} -> ({HP} & {A}) fact3: {A} -> {C} fact4: ({GG} & {GP}) fact5: ¬({C} & {A}) -> ¬{C} fact6: ({A} & {B}) ; $hypothesis$ = ¬{C} ; $proof$ = | fact6 -> int1: {A}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸã¡ãLv.54ã¯äººããã | {C}{b} | fact1: ãã®ã·ãã·ã«Lv.69ã¯æ±ãæããªã fact2: 人ãããã¢ã³ã¹ã¿ãŒã§çããªãã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ãã®ãŸããŸã¡ãLv.54ã¯äº¬éœããããå ããŠããã¯æ©èœãã fact4: ãã®ã·ãã·ã«Lv.69ã¯äº¬éœããã fact5: ããããã®ã·ãã·ã«Lv.69ã京éœãããããããç 磚ãããšããã°ãã®ãŸããŸã¡ãLv.54ã¯äººããããªã fact6: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯çºçãé£ããªããšããã°ç 磚ãããçã | fact1: ¬{ER}{a} fact2: (x): ¬({C}x & ¬{D}x) fact3: ({A}{b} & {GQ}{b}) fact4: {A}{a} fact5: ({A}{a} & {B}{a}) -> ¬{C}{b} fact6: (x): ¬{E}x -> ({B}x & {D}x) | [] | [] | ãã®ãŸããŸã¡ãLv.54ã¯ç 磚ãã | {B}{b} | [
"fact7 -> int1: ããã®ã·ãã·ã«Lv.69ã¯äººãããããããããã¯çããªãããšããããšã¯ééãã ;"
] | 6 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ã«Lv.69ã¯æ±ãæããªã fact2: 人ãããã¢ã³ã¹ã¿ãŒã§çããªãã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ãã®ãŸããŸã¡ãLv.54ã¯äº¬éœããããå ããŠããã¯æ©èœãã fact4: ãã®ã·ãã·ã«Lv.69ã¯äº¬éœããã fact5: ããããã®ã·ãã·ã«Lv.69ã京éœãããããããç 磚ãããšããã°ãã®ãŸããŸã¡ãLv.54ã¯äººããããªã fact6: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯çºçãé£ããªããšããã°ç 磚ãããçã ; $hypothesis$ = ãã®ãŸããŸã¡ãLv.54ã¯äººããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{ER}{a} fact2: (x): ¬({C}x & ¬{D}x) fact3: ({A}{b} & {GQ}{b}) fact4: {A}{a} fact5: ({A}{a} & {B}{a}) -> ¬{C}{b} fact6: (x): ¬{E}x -> ({B}x & {D}x) ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã¡ãLv.41ã¯çºæ®ãæããªã | ¬{C}{b} | fact1: ãã®ã¿ãã¿ãªLv.10ã¯è¯ã fact2: ãã®ã¿ãã¿ãªLv.10ã¯è¯ããŠãŸã䌎ãæã | fact1: {A}{a} fact2: ({A}{a} & {B}{a}) | [
"fact2 -> int1: ãã®ã¿ãã¿ãªLv.10ã¯äŒŽãæã;"
] | [
"fact2 -> int1: {B}{a};"
] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã¿ãã¿ãªLv.10ã¯è¯ã fact2: ãã®ã¿ãã¿ãªLv.10ã¯è¯ããŠãŸã䌎ãæã ; $hypothesis$ = ãã®ã¿ãã¿ã¡ãLv.41ã¯çºæ®ãæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬{C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãææ¡åºæ¥ãããšãèµ·ããããšããããšã¯æãç«ã€ | {B} | fact1: ãŽã®ãŽã®Lv.89äºä»¶ãçããã°ææ¡åºæ¥ãããšãçºçããªããå ããŠãœã«ã
ãœãªLv.27äºä»¶ã¯çããªã fact2: ãã¿ã¡ã
ã¿ã¡ãLv.32äºä»¶ã¯èµ·ããªãããšããããšã¯ããœã«ã
ãœãªLv.27äºä»¶ãèµ·ããããããã¯ææ¡åºæ¥ãããšã¯èµ·ãããªãããŸãã¯ã©ã¡ããã ããšããããšã«é²ããã fact3: ããŽããŽãLv.9äºä»¶ãèµ·ããããŸãã¯ãã«ã
ããLv.11äºä»¶ã¯çºçããªãããšããããšã¯åœã§ãããšãããšææ¡åºæ¥ãããšãèµ·ãã fact4: ãœã«ã
ãœãªLv.27äºä»¶ãçºçãã | fact1: {C} -> (¬{B} & ¬{A}) fact2: ({A} v ¬{B}) -> {HP} fact3: ¬({AA} v ¬{AB}) -> {B} fact4: {A} | [] | [] | ææ¡åºæ¥ãããšã¯èµ·ããªã | ¬{B} | [] | 6 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãŽã®ãŽã®Lv.89äºä»¶ãçããã°ææ¡åºæ¥ãããšãçºçããªããå ããŠãœã«ã
ãœãªLv.27äºä»¶ã¯çããªã fact2: ãã¿ã¡ã
ã¿ã¡ãLv.32äºä»¶ã¯èµ·ããªãããšããããšã¯ããœã«ã
ãœãªLv.27äºä»¶ãèµ·ããããããã¯ææ¡åºæ¥ãããšã¯èµ·ãããªãããŸãã¯ã©ã¡ããã ããšããããšã«é²ããã fact3: ããŽããŽãLv.9äºä»¶ãèµ·ããããŸãã¯ãã«ã
ããLv.11äºä»¶ã¯çºçããªãããšããããšã¯åœã§ãããšãããšææ¡åºæ¥ãããšãèµ·ãã fact4: ãœã«ã
ãœãªLv.27äºä»¶ãçºçãã ; $hypothesis$ = ãææ¡åºæ¥ãããšãèµ·ããããšããããšã¯æãç«ã€ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C} -> (¬{B} & ¬{A}) fact2: ({A} v ¬{B}) -> {HP} fact3: ¬({AA} v ¬{AB}) -> {B} fact4: {A} ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ç¯ããªããŠæŽã«åãéããªã | (Ex): (¬{A}x & ¬{B}x) | fact1: ãã®ã¿ã«ãã¿ãLv.13ã¯åãéããªã | fact1: ¬{B}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã¿ã«ãã¿ãLv.13ã¯åãéããªã ; $hypothesis$ = ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ç¯ããªããŠæŽã«åãéããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{a} ; $hypothesis$ = (Ex): (¬{A}x & ¬{B}x) ; $proof$ = | __UNKNOWN__ |
0.3 | çãŸãé£ããšããããšããã³ãã«ãããLv.86äºä»¶ãèµ·ãã | ({A} & {C}) | fact1: ãããªãã¡ãLv.9äºä»¶ãçºçããããšããããšã¯æãç«ã€ãªããã«ãããLv.86äºä»¶ã¯èµ·ããªããå ããŠèç©ããæããšããããšã¯èµ·ãããªã fact2: çãŸãé£ããšããããšãèµ·ããããã€èç©ããæããšããããšãèµ·ãã fact3: èç©ããæããšããããšã¯èµ·ãããªããšããã°ãçãŸãé£ããšããããšãšãã«ãããLv.86äºä»¶ãèµ·ããããšããããšã¯ééã£ãŠãã fact4: ä»®ã«ãèç©ããæããšããããšãèµ·ãããè¯ããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããèç©ããæããšããããšã¯èµ·ãããªã fact5: ãã«ãããLv.86äºä»¶ãèµ·ãã fact6: èç©ããæããšããããšã¯çºçããªããšããããšã¯ãèã£ãºãããšããããšããã³çãŸãé£ããšããããšãçºçããããšããããšãæã | fact1: {D} -> (¬{C} & ¬{B}) fact2: ({A} & {B}) fact3: ¬{B} -> ¬({A} & {C}) fact4: ¬({B} & ¬{E}) -> ¬{B} fact5: {C} fact6: ¬{B} -> ({EM} & {A}) | [
"fact2 -> int1: çãŸãé£ããšããããšãèµ·ãã; int1 & fact5 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact5 -> hypothesis;"
] | èã£ãºãããšããããšãçãã | {EM} | [] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããªãã¡ãLv.9äºä»¶ãçºçããããšããããšã¯æãç«ã€ãªããã«ãããLv.86äºä»¶ã¯èµ·ããªããå ããŠèç©ããæããšããããšã¯èµ·ãããªã fact2: çãŸãé£ããšããããšãèµ·ããããã€èç©ããæããšããããšãèµ·ãã fact3: èç©ããæããšããããšã¯èµ·ãããªããšããã°ãçãŸãé£ããšããããšãšãã«ãããLv.86äºä»¶ãèµ·ããããšããããšã¯ééã£ãŠãã fact4: ä»®ã«ãèç©ããæããšããããšãèµ·ãããè¯ããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããèç©ããæããšããããšã¯èµ·ãããªã fact5: ãã«ãããLv.86äºä»¶ãèµ·ãã fact6: èç©ããæããšããããšã¯çºçããªããšããããšã¯ãèã£ãºãããšããããšããã³çãŸãé£ããšããããšãçºçããããšããããšãæã ; $hypothesis$ = çãŸãé£ããšããããšããã³ãã«ãããLv.86äºä»¶ãèµ·ãã ; $proof$ = | fact2 -> int1: çãŸãé£ããšããããšãèµ·ãã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {D} -> (¬{C} & ¬{B}) fact2: ({A} & {B}) fact3: ¬{B} -> ¬({A} & {C}) fact4: ¬({B} & ¬{E}) -> ¬{B} fact5: {C} fact6: ¬{B} -> ({EM} & {A}) ; $hypothesis$ = ({A} & {C}) ; $proof$ = | fact2 -> int1: {A}; int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ã·ã«ãã·ã«ãLv.8äºä»¶ã¯èµ·ãããªãäžæ¹ã§ãããããšããããšãèµ·ãã | (¬{C} & {B}) | fact1: ãããã³ã³ãããŒã«ãæããšããããšã¯çºçããªããšãããšç£åµããããšãšæ·¡ããšããããšã©ã¡ãããèµ·ãã fact2: ã·ã«ãã·ã«ãLv.8äºä»¶ã¯çºçããªã fact3: ãœã¡ããœã¡ãLv.93äºä»¶ãèµ·ãã fact4: ç£åµããããšã¯ãœã¡ããœã¡ãLv.93äºä»¶ããããã fact5: ãœã¡ããœã¡ãLv.93äºä»¶ãèµ·ããããããããšããããšãçºçãã | fact1: ¬{F} -> ({D} & {E}) fact2: ¬{C} fact3: {A} fact4: {D} -> {A} fact5: ({A} & {B}) | [
"fact5 -> int1: ãããããšããããšãçãã; int1 & fact2 -> hypothesis;"
] | [
"fact5 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | ãã·ã«ãã·ã«ãLv.8äºä»¶ã¯çºçããªããŠãããããšããããšãèµ·ããããšããããšã¯èª€ãã§ãã | ¬(¬{C} & {B}) | [] | 7 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã³ã³ãããŒã«ãæããšããããšã¯çºçããªããšãããšç£åµããããšãšæ·¡ããšããããšã©ã¡ãããèµ·ãã fact2: ã·ã«ãã·ã«ãLv.8äºä»¶ã¯çºçããªã fact3: ãœã¡ããœã¡ãLv.93äºä»¶ãèµ·ãã fact4: ç£åµããããšã¯ãœã¡ããœã¡ãLv.93äºä»¶ããããã fact5: ãœã¡ããœã¡ãLv.93äºä»¶ãèµ·ããããããããšããããšãçºçãã ; $hypothesis$ = ã·ã«ãã·ã«ãLv.8äºä»¶ã¯èµ·ãããªãäžæ¹ã§ãããããšããããšãèµ·ãã ; $proof$ = | fact5 -> int1: ãããããšããããšãçãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{F} -> ({D} & {E}) fact2: ¬{C} fact3: {A} fact4: {D} -> {A} fact5: ({A} & {B}) ; $hypothesis$ = (¬{C} & {B}) ; $proof$ = | fact5 -> int1: {B}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ãã·ã«ãLv.59ã¯å¹Œããäžç€Œããããšããããšã¯æãç«ããªã | ¬({B}{a} & {A}{a}) | fact1: ãã®ã·ãã·ã«ãLv.59ã¯å¹Œã fact2: ããããã®ãŽã¡ã
ãŽãLv.0ã¯å¹Œããªããããã¡ãªããªãããšããããšã¯æãç«ããªããšããã°ãã®ãœããœãLv.52ã¯å¹Œããšããããšã¯ãªã fact3: ãã®ãœã«ã
ãœã¡ãLv.94ã¯å¹Œã fact4: ä»®ã«ãã®ãœããœãLv.52ã幌ããªããªãã°ãã®ã·ãã·ã«ãLv.59ã¯èŠãå§ãããäžç€Œãã fact5: ãã®ã·ãã·ã«ãLv.59ã¯äžç€Œãã | fact1: {B}{a} fact2: ¬(¬{B}{c} & ¬{E}{c}) -> ¬{B}{b} fact3: {B}{bp} fact4: ¬{B}{b} -> ({AO}{a} & {A}{a}) fact5: {A}{a} | [
"fact5 -> int1: ãã®ã·ãã·ã«ãLv.59ã¯äžç€Œãã; int1 & fact1 -> hypothesis;"
] | [
"fact5 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ã·ãã·ã«ãLv.59ã¯èŠãå§ãããäžžã£ãã | ({AO}{a} & {Q}{a}) | [] | 5 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ã«ãLv.59ã¯å¹Œã fact2: ããããã®ãŽã¡ã
ãŽãLv.0ã¯å¹Œããªããããã¡ãªããªãããšããããšã¯æãç«ããªããšããã°ãã®ãœããœãLv.52ã¯å¹Œããšããããšã¯ãªã fact3: ãã®ãœã«ã
ãœã¡ãLv.94ã¯å¹Œã fact4: ä»®ã«ãã®ãœããœãLv.52ã幌ããªããªãã°ãã®ã·ãã·ã«ãLv.59ã¯èŠãå§ãããäžç€Œãã fact5: ãã®ã·ãã·ã«ãLv.59ã¯äžç€Œãã ; $hypothesis$ = ããã®ã·ãã·ã«ãLv.59ã¯å¹Œããäžç€Œããããšããããšã¯æãç«ããªã ; $proof$ = | fact5 -> int1: ãã®ã·ãã·ã«ãLv.59ã¯äžç€Œãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} fact2: ¬(¬{B}{c} & ¬{E}{c}) -> ¬{B}{b} fact3: {B}{bp} fact4: ¬{B}{b} -> ({AO}{a} & {A}{a}) fact5: {A}{a} ; $hypothesis$ = ¬({B}{a} & {A}{a}) ; $proof$ = | fact5 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŸã¡ããŸãLv.69ã¯ãããããšããããšã¯æ¬åœã§ãã | {C}{b} | fact1: ãã®ãœããœãLv.20ã¯ãã°ãã°ãã fact2: ãããå¹³ã£ããã¢ã³ã¹ã¿ãŒããã°ãã°ãããšããã°ããã¯ããããªã fact3: ããããã®ãœããœãLv.20ãå¹³ã£ãããšãããšãã®ãŸã¡ããŸãLv.69ã¯ããã fact4: ãã®ãœããœãLv.20ããã°ãã°ãããšããããã®ãœããœãLv.20ã¯å¹³ã£ãã | fact1: {A}{a} fact2: (x): ({B}x & {A}x) -> ¬{C}x fact3: {B}{a} -> {C}{b} fact4: {A}{a} -> {B}{a} | [
"fact4 & fact1 -> int1: ãã®ãœããœãLv.20ã¯å¹³ã£ãã; int1 & fact3 -> hypothesis;"
] | [
"fact4 & fact1 -> int1: {B}{a}; int1 & fact3 -> hypothesis;"
] | ããã®ãŸã¡ããŸãLv.69ã¯ããããªãããšããããšã¯çå®ã | ¬{C}{b} | [
"fact5 -> int2: ãã®ãŸã¡ããŸãLv.69ãå¹³ã£ãããæŽã«ãã°ãã°ãããšãããšãã®ãŸã¡ããŸãLv.69ã¯ããããªã;"
] | 4 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãœããœãLv.20ã¯ãã°ãã°ãã fact2: ãããå¹³ã£ããã¢ã³ã¹ã¿ãŒããã°ãã°ãããšããã°ããã¯ããããªã fact3: ããããã®ãœããœãLv.20ãå¹³ã£ãããšãããšãã®ãŸã¡ããŸãLv.69ã¯ããã fact4: ãã®ãœããœãLv.20ããã°ãã°ãããšããããã®ãœããœãLv.20ã¯å¹³ã£ãã ; $hypothesis$ = ããã®ãŸã¡ããŸãLv.69ã¯ãããããšããããšã¯æ¬åœã§ãã ; $proof$ = | fact4 & fact1 -> int1: ãã®ãœããœãLv.20ã¯å¹³ã£ãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: (x): ({B}x & {A}x) -> ¬{C}x fact3: {B}{a} -> {C}{b} fact4: {A}{a} -> {B}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact4 & fact1 -> int1: {B}{a}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŸããŸãLv.80ã¯åºæ¥åŸãããŸãæãéããããšããããšã¯èª€ãã§ãã | ¬({A}{a} & {B}{a}) | fact1: ãã®ã·ãã·ãªLv.23ã¯æããŠããã¯æãéãã fact2: ãã®ãŸããŸãLv.80ã¯æã£åãæ©ã fact3: ãã®ãŸããŸãLv.80ã¯åºæ¥åŸã fact4: ãã®ãŸããŸãLv.80ã¯æãéãã fact5: ãã®ãŽã¡ããŽãLv.9ã¯åºæ¥åŸã fact6: ããã®ãŸããŸãLv.80ã¯ç¥ã
ããããšããããšã¯ç¢ºãã fact7: ãã®ããªãã«ã
Lv.59ã¯æãéãã | fact1: ({EH}{iq} & {B}{iq}) fact2: {HC}{a} fact3: {A}{a} fact4: {B}{a} fact5: {A}{ff} fact6: {EP}{a} fact7: {B}{fs} | [
"fact3 -> int1: ãã®ãŸããŸãLv.80ã¯åºæ¥åŸã; int1 & fact4 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact4 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ã·ãã·ãªLv.23ã¯æããŠããã¯æãéãã fact2: ãã®ãŸããŸãLv.80ã¯æã£åãæ©ã fact3: ãã®ãŸããŸãLv.80ã¯åºæ¥åŸã fact4: ãã®ãŸããŸãLv.80ã¯æãéãã fact5: ãã®ãŽã¡ããŽãLv.9ã¯åºæ¥åŸã fact6: ããã®ãŸããŸãLv.80ã¯ç¥ã
ããããšããããšã¯ç¢ºãã fact7: ãã®ããªãã«ã
Lv.59ã¯æãéãã ; $hypothesis$ = ããã®ãŸããŸãLv.80ã¯åºæ¥åŸãããŸãæãéããããšããããšã¯èª€ãã§ãã ; $proof$ = | fact3 -> int1: ãã®ãŸããŸãLv.80ã¯åºæ¥åŸã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({EH}{iq} & {B}{iq}) fact2: {HC}{a} fact3: {A}{a} fact4: {B}{a} fact5: {A}{ff} fact6: {EP}{a} fact7: {B}{fs} ; $hypothesis$ = ¬({A}{a} & {B}{a}) ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãããã¡ã
Lv.45ã¯ããã€ãããããŠããã¯è²ã¡é£ã | ({B}{b} & {A}{b}) | fact1: ãããããã®ãŽããŽã«ãLv.30ã¯çèŠãããªãããŸãã¯éé£ããŸããããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªããªããã®ãããã¡ã
Lv.45ã¯ããã€ãããã fact2: ããã®ãŽããŽã«ãLv.30ã¯çèŠãããªããããã¯éé£ããŸããããšããããšã¯äºå®ãšç°ãªã fact3: ãã®ãŽããŽã«ãLv.30ã¯çèŠãã fact4: ãã®ãããã¡ã
Lv.45ã¯è²ã¡é£ã | fact1: ¬(¬{AA}{a} v {AB}{a}) -> {B}{b} fact2: ¬(¬{AA}{a} v {AB}{a}) fact3: {AA}{a} fact4: {A}{b} | [
"fact1 & fact2 -> int1: ãã®ãããã¡ã
Lv.45ã¯ããã€ãããã; int1 & fact4 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: {B}{b}; int1 & fact4 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãããããã®ãŽããŽã«ãLv.30ã¯çèŠãããªãããŸãã¯éé£ããŸããããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªããªããã®ãããã¡ã
Lv.45ã¯ããã€ãããã fact2: ããã®ãŽããŽã«ãLv.30ã¯çèŠãããªããããã¯éé£ããŸããããšããããšã¯äºå®ãšç°ãªã fact3: ãã®ãŽããŽã«ãLv.30ã¯çèŠãã fact4: ãã®ãããã¡ã
Lv.45ã¯è²ã¡é£ã ; $hypothesis$ = ãã®ãããã¡ã
Lv.45ã¯ããã€ãããããŠããã¯è²ã¡é£ã ; $proof$ = | fact1 & fact2 -> int1: ãã®ãããã¡ã
Lv.45ã¯ããã€ãããã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{AA}{a} v {AB}{a}) -> {B}{b} fact2: ¬(¬{AA}{a} v {AB}{a}) fact3: {AA}{a} fact4: {A}{b} ; $hypothesis$ = ({B}{b} & {A}{b}) ; $proof$ = | fact1 & fact2 -> int1: {B}{b}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãé¿ãé£ããšããããšãèµ·ãããæŽã«ã·ãã·ãLv.81äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({B} & {C}) | fact1: ã·ãã·ãLv.81äºä»¶ãèµ·ãã fact2: èŠãããšããããšãèµ·ãã fact3: ä»®ã«èŠãããšããããšã¯çããªããšãããšãé¿ãé£ããšããããšãšã·ãã·ãLv.81äºä»¶ãçããããšããããšã¯èª€ãã§ãã fact4: è¿œã£æãããšãèµ·ããããã¡ããã«ã
Lv.37äºä»¶ãçºçãã fact5: ãŽããŽã®Lv.30äºä»¶ãèµ·ãããªããšããããšããããã¯ã¿ã®ã¿ã«ãLv.88äºä»¶ã¯èµ·ãããªããšããããšãäž¡æ¹ãšãã¯ãèŠãããšããããšã¯çºçããªãããšããããšã®åå ãšãªã fact6: èŠãããšããããšããã³é¿ãé£ããšããããšãçãã | fact1: {C} fact2: {A} fact3: ¬{A} -> ¬({B} & {C}) fact4: ({AR} & {GJ}) fact5: (¬{E} v ¬{D}) -> ¬{A} fact6: ({A} & {B}) | [
"fact6 -> int1: é¿ãé£ããšããããšãçãã; int1 & fact1 -> hypothesis;"
] | [
"fact6 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | ãé¿ãé£ããšããããšãèµ·ãããæŽã«ã·ãã·ãLv.81äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({B} & {C}) | [] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã·ãã·ãLv.81äºä»¶ãèµ·ãã fact2: èŠãããšããããšãèµ·ãã fact3: ä»®ã«èŠãããšããããšã¯çããªããšãããšãé¿ãé£ããšããããšãšã·ãã·ãLv.81äºä»¶ãçããããšããããšã¯èª€ãã§ãã fact4: è¿œã£æãããšãèµ·ããããã¡ããã«ã
Lv.37äºä»¶ãçºçãã fact5: ãŽããŽã®Lv.30äºä»¶ãèµ·ãããªããšããããšããããã¯ã¿ã®ã¿ã«ãLv.88äºä»¶ã¯èµ·ãããªããšããããšãäž¡æ¹ãšãã¯ãèŠãããšããããšã¯çºçããªãããšããããšã®åå ãšãªã fact6: èŠãããšããããšããã³é¿ãé£ããšããããšãçãã ; $hypothesis$ = ãé¿ãé£ããšããããšãèµ·ãããæŽã«ã·ãã·ãLv.81äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | fact6 -> int1: é¿ãé£ããšããããšãçãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: {A} fact3: ¬{A} -> ¬({B} & {C}) fact4: ({AR} & {GJ}) fact5: (¬{E} v ¬{D}) -> ¬{A} fact6: ({A} & {B}) ; $hypothesis$ = ¬({B} & {C}) ; $proof$ = | fact6 -> int1: {B}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | 売ãæ®ãããšã¯çºçããªã | ¬{C} | fact1: ãã¿ã¡ã
ã¿ã«Lv.29äºä»¶ãçºçããããšããããšã¯äºå®ã fact2: 売ãæ®ãããšã¯èµ·ãããªããšããããšã¯ãè«æ±ãåŸãããšãèµ·ããããšããããšã«é»ãŸãã fact3: è«æ±ãåŸãããšããã³ã¿ã¡ã
ã¿ã«Lv.29äºä»¶ãçãã fact4: ã売ãæ®ãããšã¯çããªãããŸãã¯ã¿ã¡ã
ã¿ã«Lv.29äºä»¶ãèµ·ããããããã¯äž¡æ¹ãšãã§ããããšããããšã¯ãè«æ±ãåŸãããšã¯çããªãããšããããšãåå ã fact5: ãè«æ±ãåŸãããšã¯çããªãããšããããšã¯ãèŠèŠãããšããããšããã³ãŽããŽã¡ãLv.63äºä»¶ãèµ·ããããšããããšã«ããçºçãã | fact1: {B} fact2: {A} -> {C} fact3: ({A} & {B}) fact4: ¬{A} -> (¬{C} v {B}) fact5: ({D} & {E}) -> ¬{A} | [
"fact3 -> int1: è«æ±ãåŸãããšãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {A}; int1 & fact2 -> hypothesis;"
] | 売ãæ®ãããšã¯çºçããªã | ¬{C} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã¿ã¡ã
ã¿ã«Lv.29äºä»¶ãçºçããããšããããšã¯äºå®ã fact2: 売ãæ®ãããšã¯èµ·ãããªããšããããšã¯ãè«æ±ãåŸãããšãèµ·ããããšããããšã«é»ãŸãã fact3: è«æ±ãåŸãããšããã³ã¿ã¡ã
ã¿ã«Lv.29äºä»¶ãçãã fact4: ã売ãæ®ãããšã¯çããªãããŸãã¯ã¿ã¡ã
ã¿ã«Lv.29äºä»¶ãèµ·ããããããã¯äž¡æ¹ãšãã§ããããšããããšã¯ãè«æ±ãåŸãããšã¯çããªãããšããããšãåå ã fact5: ãè«æ±ãåŸãããšã¯çããªãããšããããšã¯ãèŠèŠãããšããããšããã³ãŽããŽã¡ãLv.63äºä»¶ãèµ·ããããšããããšã«ããçºçãã ; $hypothesis$ = 売ãæ®ãããšã¯çºçããªã ; $proof$ = | fact3 -> int1: è«æ±ãåŸãããšãèµ·ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} fact2: {A} -> {C} fact3: ({A} & {B}) fact4: ¬{A} -> (¬{C} v {B}) fact5: ({D} & {E}) -> ¬{A} ; $hypothesis$ = ¬{C} ; $proof$ = | fact3 -> int1: {A}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ãŽããŽã¡ãLv.67ã¯èŠããªãããŸãã¯ããã¯çµåãæãããšããããšã¯ééã£ãŠããããšããããšã¯æãç«ã€ | ¬(¬{B}{b} v {C}{b}) | fact1: ãã®ã·ãã·ãLv.65ã¯äºã fact2: é·ã
ããã¢ã³ã¹ã¿ãŒã¯åæ ããæããšããããšã¯ãªãããããæãŸãæã fact3: ããä»®ã«ãã®ã·ãã·ãLv.65ãäºããšããã°ãã®ãŽããŽã¡ãLv.67ã¯èŠã fact4: ãããã®ãŽããŽã¡ãLv.67ã¯èŠããªãã°ããã®ãŽããŽã¡ãLv.67ã¯èŠããªãããããã¯çµåãæãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯èª€ã£ãŠãã fact5: ãããã®ã·ãã·ãLv.65ãå£ãããªããªããªããã®ãŽããŽã¡ãLv.67ã¯çµåãæããŠãã€äºã fact6: ããããã®ãœã«ã
ãœãLv.34ãå¿ãã£ãœããšããããšã¯ãªããªãã°ãã®ã·ãã·ãLv.65ã¯é·ã
ããããã®äžæ¬åœããã fact7: ä»®ã«åæ ããæããªãã¢ã³ã¹ã¿ãŒãæãŸãæããšããã°ããã¯å£ãããªããªã | fact1: {A}{a} fact2: (x): {G}x -> (¬{F}x & {E}x) fact3: {A}{a} -> {B}{b} fact4: {B}{b} -> ¬(¬{B}{b} v {C}{b}) fact5: ¬{D}{a} -> ({C}{b} & {A}{b}) fact6: ¬{I}{c} -> ({G}{a} & {H}{a}) fact7: (x): (¬{F}x & {E}x) -> ¬{D}x | [
"fact3 & fact1 -> int1: ãã®ãŽããŽã¡ãLv.67ã¯èŠã; int1 & fact4 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: {B}{b}; int1 & fact4 -> hypothesis;"
] | ãã®ãŽããŽã¡ãLv.67ã¯èŠããªããããã¯çµåãæããã©ã¡ããã§ãã | (¬{B}{b} v {C}{b}) | [
"fact11 -> int2: ããããã®ã·ãã·ãLv.65ãåæ ããæããšããããšã¯ãªãããã©ãããæãŸãæããšãããå£ãããªããšããããšã¯ãªã; fact8 -> int3: ããããã®ã·ãã·ãLv.65ãé·ã
ãããªãã°ãã®ã·ãã·ãLv.65ã¯åæ ããæããšããããšã¯ãªãäžæ¹ã§æãŸãæã;"
] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ãLv.65ã¯äºã fact2: é·ã
ããã¢ã³ã¹ã¿ãŒã¯åæ ããæããšããããšã¯ãªãããããæãŸãæã fact3: ããä»®ã«ãã®ã·ãã·ãLv.65ãäºããšããã°ãã®ãŽããŽã¡ãLv.67ã¯èŠã fact4: ãããã®ãŽããŽã¡ãLv.67ã¯èŠããªãã°ããã®ãŽããŽã¡ãLv.67ã¯èŠããªãããããã¯çµåãæãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯èª€ã£ãŠãã fact5: ãããã®ã·ãã·ãLv.65ãå£ãããªããªããªããã®ãŽããŽã¡ãLv.67ã¯çµåãæããŠãã€äºã fact6: ããããã®ãœã«ã
ãœãLv.34ãå¿ãã£ãœããšããããšã¯ãªããªãã°ãã®ã·ãã·ãLv.65ã¯é·ã
ããããã®äžæ¬åœããã fact7: ä»®ã«åæ ããæããªãã¢ã³ã¹ã¿ãŒãæãŸãæããšããã°ããã¯å£ãããªããªã ; $hypothesis$ = ãããã®ãŽããŽã¡ãLv.67ã¯èŠããªãããŸãã¯ããã¯çµåãæãããšããããšã¯ééã£ãŠããããšããããšã¯æãç«ã€ ; $proof$ = | fact3 & fact1 -> int1: ãã®ãŽããŽã¡ãLv.67ã¯èŠã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: (x): {G}x -> (¬{F}x & {E}x) fact3: {A}{a} -> {B}{b} fact4: {B}{b} -> ¬(¬{B}{b} v {C}{b}) fact5: ¬{D}{a} -> ({C}{b} & {A}{b}) fact6: ¬{I}{c} -> ({G}{a} & {H}{a}) fact7: (x): (¬{F}x & {E}x) -> ¬{D}x ; $hypothesis$ = ¬(¬{B}{b} v {C}{b}) ; $proof$ = | fact3 & fact1 -> int1: {B}{b}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ã«ãã·ãLv.17ã¯åŸ¡äŒãããã©çãèŸããªãããšããããšã¯ééã£ãŠãã | ¬({B}{a} & ¬{C}{a}) | fact1: ããã®ãŽããŽãLv.17ã¯æ€åããããšããããšã¯çå®ã§ãã fact2: ããä»®ã«ãæ€åãããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ã·ã«ãã·ãLv.17ã¯åŸ¡äŒãããã©ããã¯çãèŸããšããããšã¯ãªãããšããããšã¯ééãã§ãã | fact1: {A}{aa} fact2: (x): {A}x -> ¬({B}{a} & ¬{C}{a}) | [
"fact1 -> int1: ãæ€åãããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: (Ex): {A}x; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ãŽããŽãLv.17ã¯æ€åããããšããããšã¯çå®ã§ãã fact2: ããä»®ã«ãæ€åãããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ã·ã«ãã·ãLv.17ã¯åŸ¡äŒãããã©ããã¯çãèŸããšããããšã¯ãªãããšããããšã¯ééãã§ãã ; $hypothesis$ = ããã®ã·ã«ãã·ãLv.17ã¯åŸ¡äŒãããã©çãèŸããªãããšããããšã¯ééã£ãŠãã ; $proof$ = | fact1 -> int1: ãæ€åãããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{aa} fact2: (x): {A}x -> ¬({B}{a} & ¬{C}{a}) ; $hypothesis$ = ¬({B}{a} & ¬{C}{a}) ; $proof$ = | fact1 -> int1: (Ex): {A}x; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœã¡ããœã¡ãLv.93ã¯åŽããå ããŠã©åã | ({B}{a} & {C}{a}) | fact1: ãã®ãã«ããã«Lv.85ã¯èŠäžãããªããšãããããã®ãœã¡ããœã¡ãLv.93ã¯åŽãããã€ã©åãããšããããšã¯ééã£ãŠãã fact2: ãã®ãœã¡ããœã¡ãLv.93ã¯èŠäžãããããã¯åŽã fact3: ãããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãåŽããšããããšã¯ãªããšããã°ããã¯ã©åããèŠäžããããšããããšã¯æãç«ã€ fact4: ãã®ã¿ãã¿ã«ãLv.6ã¯åŽããå ããŠéè²ç¡ã fact5: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯èŠäžããäžæ¹ã§èªçºãæããªãããšããããšã¯æãç«ããªããšããã°èŠäžãããšããããšã¯ãªã fact6: ãã®ãœã¡ããœã¡ãLv.93ã¯ã©åã fact7: ãã®ãœã¡ããœã¡ãLv.93ã¯èŠäžãã | fact1: ¬{A}{b} -> ¬({B}{a} & {C}{a}) fact2: ({A}{a} & {B}{a}) fact3: (x): ¬{B}x -> ({C}x & {A}x) fact4: ({B}{bs} & {FL}{bs}) fact5: (x): ¬({A}x & ¬{D}x) -> ¬{A}x fact6: {C}{a} fact7: {A}{a} | [
"fact2 -> int1: ãã®ãœã¡ããœã¡ãLv.93ã¯åŽã; int1 & fact6 -> hypothesis;"
] | [
"fact2 -> int1: {B}{a}; int1 & fact6 -> hypothesis;"
] | ãããã®ãœã¡ããœã¡ãLv.93ãåŽãããã®äžããã¯ã©åãããšããããšã¯æ¬åœã ããšããããšã¯ééãã | ¬({B}{a} & {C}{a}) | [
"fact8 -> int2: ããã®ãã«ããã«Lv.85ã¯èŠäžããããã©ããã¯èªçºãæããªãããšããããšã¯åã ãšããããã®ãã«ããã«Lv.85ã¯èŠäžãããšããããšã¯ãªã;"
] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãã«ããã«Lv.85ã¯èŠäžãããªããšãããããã®ãœã¡ããœã¡ãLv.93ã¯åŽãããã€ã©åãããšããããšã¯ééã£ãŠãã fact2: ãã®ãœã¡ããœã¡ãLv.93ã¯èŠäžãããããã¯åŽã fact3: ãããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãåŽããšããããšã¯ãªããšããã°ããã¯ã©åããèŠäžããããšããããšã¯æãç«ã€ fact4: ãã®ã¿ãã¿ã«ãLv.6ã¯åŽããå ããŠéè²ç¡ã fact5: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯èŠäžããäžæ¹ã§èªçºãæããªãããšããããšã¯æãç«ããªããšããã°èŠäžãããšããããšã¯ãªã fact6: ãã®ãœã¡ããœã¡ãLv.93ã¯ã©åã fact7: ãã®ãœã¡ããœã¡ãLv.93ã¯èŠäžãã ; $hypothesis$ = ãã®ãœã¡ããœã¡ãLv.93ã¯åŽããå ããŠã©åã ; $proof$ = | fact2 -> int1: ãã®ãœã¡ããœã¡ãLv.93ã¯åŽã; int1 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{b} -> ¬({B}{a} & {C}{a}) fact2: ({A}{a} & {B}{a}) fact3: (x): ¬{B}x -> ({C}x & {A}x) fact4: ({B}{bs} & {FL}{bs}) fact5: (x): ¬({A}x & ¬{D}x) -> ¬{A}x fact6: {C}{a} fact7: {A}{a} ; $hypothesis$ = ({B}{a} & {C}{a}) ; $proof$ = | fact2 -> int1: {B}{a}; int1 & fact6 -> hypothesis; __PROVED__ |
0.3 | ãã¿ã«ã
ã¿ãªLv.60äºä»¶ã¯èµ·ãããªãããšããããšã¯ééã£ãŠãã | {C} | fact1: é²æ¢åºæ¥ãããšã¯ã¿ãã¿ãLv.93äºä»¶ã«åŒãèµ·ãããã fact2: ããä»®ã«åæ ããæããšããããšã¯çããªããªãã°é²æ¢åºæ¥ãããšã¯çºçããªããŠãã®äžæ±ºãé£ããšããããšã¯èµ·ãããªã fact3: ã¿ãã¿ãLv.93äºä»¶ãçºçãã | fact1: {A} -> {B} fact2: ¬{E} -> (¬{B} & ¬{D}) fact3: {A} | [
"fact1 & fact3 -> int1: é²æ¢åºæ¥ãããšãçãã;"
] | [
"fact1 & fact3 -> int1: {B};"
] | ã¿ã«ã
ã¿ãªLv.60äºä»¶ã¯èµ·ãããªã | ¬{C} | [] | 6 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: é²æ¢åºæ¥ãããšã¯ã¿ãã¿ãLv.93äºä»¶ã«åŒãèµ·ãããã fact2: ããä»®ã«åæ ããæããšããããšã¯çããªããªãã°é²æ¢åºæ¥ãããšã¯çºçããªããŠãã®äžæ±ºãé£ããšããããšã¯èµ·ãããªã fact3: ã¿ãã¿ãLv.93äºä»¶ãçºçãã ; $hypothesis$ = ãã¿ã«ã
ã¿ãªLv.60äºä»¶ã¯èµ·ãããªãããšããããšã¯ééã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> {B} fact2: ¬{E} -> (¬{B} & ¬{D}) fact3: {A} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã«ã
Lv.44ã¯æã¡ç¶ããªã | ¬{B}{a} | fact1: ä»®ã«ããã®ã¿ãã¿ã«ã
Lv.44ã¯æãããªãã埡æ»ãäžãããšããããšã¯ãªãããããã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠãããªãæã¡ç¶ããªã fact2: ããããã®ãŸããŸã«ãLv.95ã¯æŽ»åãæããªãããããã¯ããã¯æžãŸç¡ããªãããšããããšã¯æãç«ããªããªãã°èŠªããªã fact3: ããã®ã¿ãã¿ã«ã
Lv.44ã¯çµåãæããªãããããã¯åŸ¡æ»ãäžãããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã fact4: ããã®ãŽããŽã«Lv.70ã¯åŸ¡æ»ãäžãããªãããšããããšã¯çå®ã§ãã fact5: ãã®ã¿ãã¿ã«ã
Lv.44ã¯èšãæž¡ã fact6: ãã®ã¿ãã¿ã«ã
Lv.44ã¯æãã fact7: ä»®ã«ãã®ã¿ãã¿ã«ã
Lv.44ã¯æãããšããããæãããªãããŸãã¯ããã¯åŸ¡æ»ãäžãããšããããšã¯ãªãããŸãã¯ã©ã¡ããã§ããããšããããšã¯ééãã§ãã | fact1: ¬(¬{AA}{a} v ¬{AB}{a}) -> ¬{B}{a} fact2: ¬(¬{DN}{dh} v ¬{BS}{dh}) -> ¬{AF}{dh} fact3: ¬(¬{CA}{a} v ¬{AB}{a}) fact4: ¬{AB}{gn} fact5: {IU}{a} fact6: {A}{a} fact7: {A}{a} -> ¬(¬{AA}{a} v ¬{AB}{a}) | [
"fact7 & fact6 -> int1: ããã®ã¿ãã¿ã«ã
Lv.44ã¯æãããªãããŸãã¯åŸ¡æ»ãäžãããšããããšã¯ãªãããšããããšã¯åã§ãã; int1 & fact1 -> hypothesis;"
] | [
"fact7 & fact6 -> int1: ¬(¬{AA}{a} v ¬{AB}{a}); int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ããã®ã¿ãã¿ã«ã
Lv.44ã¯æãããªãã埡æ»ãäžãããšããããšã¯ãªãããããã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠãããªãæã¡ç¶ããªã fact2: ããããã®ãŸããŸã«ãLv.95ã¯æŽ»åãæããªãããããã¯ããã¯æžãŸç¡ããªãããšããããšã¯æãç«ããªããªãã°èŠªããªã fact3: ããã®ã¿ãã¿ã«ã
Lv.44ã¯çµåãæããªãããããã¯åŸ¡æ»ãäžãããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã fact4: ããã®ãŽããŽã«Lv.70ã¯åŸ¡æ»ãäžãããªãããšããããšã¯çå®ã§ãã fact5: ãã®ã¿ãã¿ã«ã
Lv.44ã¯èšãæž¡ã fact6: ãã®ã¿ãã¿ã«ã
Lv.44ã¯æãã fact7: ä»®ã«ãã®ã¿ãã¿ã«ã
Lv.44ã¯æãããšããããæãããªãããŸãã¯ããã¯åŸ¡æ»ãäžãããšããããšã¯ãªãããŸãã¯ã©ã¡ããã§ããããšããããšã¯ééãã§ãã ; $hypothesis$ = ãã®ã¿ãã¿ã«ã
Lv.44ã¯æã¡ç¶ããªã ; $proof$ = | fact7 & fact6 -> int1: ããã®ã¿ãã¿ã«ã
Lv.44ã¯æãããªãããŸãã¯åŸ¡æ»ãäžãããšããããšã¯ãªãããšããããšã¯åã§ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{AA}{a} v ¬{AB}{a}) -> ¬{B}{a} fact2: ¬(¬{DN}{dh} v ¬{BS}{dh}) -> ¬{AF}{dh} fact3: ¬(¬{CA}{a} v ¬{AB}{a}) fact4: ¬{AB}{gn} fact5: {IU}{a} fact6: {A}{a} fact7: {A}{a} -> ¬(¬{AA}{a} v ¬{AB}{a}) ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact7 & fact6 -> int1: ¬(¬{AA}{a} v ¬{AB}{a}); int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœã¡ãLv.46ã¯æåºã | {A}{a} | fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯è²ãŠäžãããšããããšã¯ãªããªãã°ãç±ã
ããªãã幌ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãã®ãœããœã¡ãLv.46ã¯çŽ°é·ã fact3: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯ç±ã
ããªãäžæ¹ã§å¹Œãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšã©ã§ãããªã fact4: ããããã¢ã³ã¹ã¿ãŒã¯çãæã fact5: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯è²ãŠäžããªã | fact1: (x): ¬{E}x -> ¬(¬{C}x & {D}x) fact2: {DS}{a} fact3: (x): ¬(¬{C}x & {D}x) -> ¬{B}x fact4: (x): {DU}x fact5: (x): ¬{E}x | [] | [] | ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æããã | (x): {IB}x | [
"fact8 -> int1: ããã®ãœããœã¡ãLv.46ã¯ç±ã
ããšããããšã¯ãªãã幌ãããšããããšã¯èª€ã£ãŠãããšããã°ã©ã§ãããªã; fact7 -> int2: ããä»®ã«ãã®ã·ã«ãã·ãLv.73ã¯è²ãŠäžãããšããããšã¯ãªããšãããããã®ã·ã«ãã·ãLv.73ã¯ç±ã
ããªãã幌ãããšããããšã¯äºå®ã§ãªã; fact6 -> int3: ãã®ã·ã«ãã·ãLv.73ã¯è²ãŠäžããªã; int2 & int3 -> int4: ããã®ã·ã«ãã·ãLv.73ã¯ç±ã
ããšããããšã¯ãªããããã幌ãããšããããšã¯æãç«ããªã; int4 -> int5: ããã¯ç±ã
ããªãããŸãããã¯å¹Œããšããã¢ã³ã¹ã¿ãŒã¯ãªã; int5 -> int6: ããã®ãœããœã¡ãLv.46ã¯ç±ã
ããªããã©å¹Œãããšããããšã¯åã ; int1 & int6 -> int7: ãã®ãœããœã¡ãLv.46ã¯ã©ã§ãããšããããšã¯ãªã;"
] | 8 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯è²ãŠäžãããšããããšã¯ãªããªãã°ãç±ã
ããªãã幌ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãã®ãœããœã¡ãLv.46ã¯çŽ°é·ã fact3: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯ç±ã
ããªãäžæ¹ã§å¹Œãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšã©ã§ãããªã fact4: ããããã¢ã³ã¹ã¿ãŒã¯çãæã fact5: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯è²ãŠäžããªã ; $hypothesis$ = ãã®ãœããœã¡ãLv.46ã¯æåºã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{E}x -> ¬(¬{C}x & {D}x) fact2: {DS}{a} fact3: (x): ¬(¬{C}x & {D}x) -> ¬{B}x fact4: (x): {DU}x fact5: (x): ¬{E}x ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã«ã
ã·ã¡ã
Lv.48ã¯å¿ å®å¿ å®ãã | {A}{a} | fact1: ããããã¢ã³ã¹ã¿ãŒã¯æ
ç¡ã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å¿ å®å¿ å®ãã | fact1: (x): {FH}x fact2: (x): {A}x | [
"fact2 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å¿ å®å¿ å®ãã; int1 -> hypothesis;"
] | [
"fact2 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯æ
ç¡ã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å¿ å®å¿ å®ãã ; $hypothesis$ = ãã®ã·ã«ã
ã·ã¡ã
Lv.48ã¯å¿ å®å¿ å®ãã ; $proof$ = | fact2 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å¿ å®å¿ å®ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {FH}x fact2: (x): {A}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact2 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
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