TSTP Solution File: SET765+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET765+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:55:50 EDT 2022
% Result : Theorem 31.33s 31.41s
% Output : Proof 31.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET765+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 00:56:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 31.33/31.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.33/31.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.33/31.42
% 31.33/31.42 %-----------------------------------------------------
% 31.33/31.42 fof(equivalence, axiom, ! [_69713, _69716] : (equivalence(_69716, _69713) <=> ! [_69734] : (member(_69734, _69713) => apply(_69716, _69734, _69734)) & ! [_69734, _69767] : (member(_69734, _69713) & member(_69767, _69713) => apply(_69716, _69734, _69767) => apply(_69716, _69767, _69734)) & ! [_69734, _69767, _69825] : (member(_69734, _69713) & member(_69767, _69713) & member(_69825, _69713) => apply(_69716, _69734, _69767) & apply(_69716, _69767, _69825) => apply(_69716, _69734, _69825))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax', equivalence)).
% 31.33/31.42 fof(thIII01, conjecture, ! [_70515, _70518, _70521] : (equivalence(_70518, _70515) & subset(_70521, _70515) => equivalence(_70518, _70521)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIII01)).
% 31.33/31.42 fof(subset, axiom, ! [_70745, _70748] : (subset(_70745, _70748) <=> ! [_70766] : (member(_70766, _70745) => member(_70766, _70748))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 31.33/31.42
% 31.33/31.42 cnf(1, plain, [-(34 ^ [_31697, _31550]), apply(_31697, 31 ^ [_31697, _31550], 33 ^ [_31697, _31550])], clausify(equivalence)).
% 31.33/31.42 cnf(2, plain, [-(34 ^ [_31697, _31550]), -(apply(_31697, 32 ^ [_31697, _31550], 33 ^ [_31697, _31550]))], clausify(equivalence)).
% 31.33/31.42 cnf(3, plain, [-(34 ^ [_31697, _31550]), -(apply(_31697, 31 ^ [_31697, _31550], 32 ^ [_31697, _31550]))], clausify(equivalence)).
% 31.33/31.42 cnf(4, plain, [-(34 ^ [_31697, _31550]), -(member(33 ^ [_31697, _31550], _31550))], clausify(equivalence)).
% 31.33/31.42 cnf(5, plain, [-(34 ^ [_31697, _31550]), -(member(32 ^ [_31697, _31550], _31550))], clausify(equivalence)).
% 31.33/31.42 cnf(6, plain, [-(34 ^ [_31697, _31550]), -(member(31 ^ [_31697, _31550], _31550))], clausify(equivalence)).
% 31.33/31.42 cnf(7, plain, [-(30 ^ [_31697, _31550]), apply(_31697, 29 ^ [_31697, _31550], 28 ^ [_31697, _31550])], clausify(equivalence)).
% 31.33/31.42 cnf(8, plain, [-(30 ^ [_31697, _31550]), -(apply(_31697, 28 ^ [_31697, _31550], 29 ^ [_31697, _31550]))], clausify(equivalence)).
% 31.33/31.42 cnf(9, plain, [-(30 ^ [_31697, _31550]), -(member(29 ^ [_31697, _31550], _31550))], clausify(equivalence)).
% 31.33/31.42 cnf(10, plain, [-(30 ^ [_31697, _31550]), -(member(28 ^ [_31697, _31550], _31550))], clausify(equivalence)).
% 31.33/31.42 cnf(11, plain, [-(27 ^ [_31697, _31550]), apply(_31697, 26 ^ [_31697, _31550], 26 ^ [_31697, _31550])], clausify(equivalence)).
% 31.33/31.42 cnf(12, plain, [-(27 ^ [_31697, _31550]), -(member(26 ^ [_31697, _31550], _31550))], clausify(equivalence)).
% 31.33/31.42 cnf(13, plain, [-(25 ^ [_31697, _31550]), member(_32808, _31550), member(_32724, _31550), member(_32639, _31550), -(apply(_31697, _32639, _32808)), apply(_31697, _32639, _32724), apply(_31697, _32724, _32808)], clausify(equivalence)).
% 31.33/31.42 cnf(14, plain, [-(25 ^ [_31697, _31550]), member(_32208, _31550), member(_32141, _31550), apply(_31697, _32141, _32208), -(apply(_31697, _32208, _32141))], clausify(equivalence)).
% 31.33/31.42 cnf(15, plain, [-(25 ^ [_31697, _31550]), member(_31912, _31550), -(apply(_31697, _31912, _31912))], clausify(equivalence)).
% 31.33/31.42 cnf(16, plain, [-(equivalence(44 ^ [], 43 ^ []))], clausify(thIII01)).
% 31.33/31.42 cnf(17, plain, [-(subset(45 ^ [], 43 ^ []))], clausify(thIII01)).
% 31.33/31.42 cnf(18, plain, [equivalence(44 ^ [], 45 ^ [])], clausify(thIII01)).
% 31.33/31.42 cnf(19, plain, [subset(_24628, _24684), member(_24798, _24628), -(member(_24798, _24684))], clausify(subset)).
% 31.33/31.42 cnf(20, plain, [-(equivalence(_31697, _31550)), 27 ^ [_31697, _31550], 30 ^ [_31697, _31550], 34 ^ [_31697, _31550]], clausify(equivalence)).
% 31.33/31.42 cnf(21, plain, [equivalence(_31697, _31550), 25 ^ [_31697, _31550]], clausify(equivalence)).
% 31.33/31.42
% 31.33/31.42 cnf('1',plain,[equivalence(44 ^ [], 45 ^ [])],start(18)).
% 31.33/31.42 cnf('1.1',plain,[-(equivalence(44 ^ [], 45 ^ [])), 27 ^ [44 ^ [], 45 ^ []], 30 ^ [44 ^ [], 45 ^ []], 34 ^ [44 ^ [], 45 ^ []]],extension(20,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.1',plain,[-(27 ^ [44 ^ [], 45 ^ []]), apply(44 ^ [], 26 ^ [44 ^ [], 45 ^ []], 26 ^ [44 ^ [], 45 ^ []])],extension(11,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.1.1',plain,[-(apply(44 ^ [], 26 ^ [44 ^ [], 45 ^ []], 26 ^ [44 ^ [], 45 ^ []])), -(25 ^ [44 ^ [], 43 ^ []]), member(26 ^ [44 ^ [], 45 ^ []], 43 ^ [])],extension(15,bind([[_31697, _31912, _31550], [44 ^ [], 26 ^ [44 ^ [], 45 ^ []], 43 ^ []]]))).
% 31.33/31.42 cnf('1.1.1.1.1',plain,[25 ^ [44 ^ [], 43 ^ []], equivalence(44 ^ [], 43 ^ [])],extension(21,bind([[_31697, _31550], [44 ^ [], 43 ^ []]]))).
% 31.33/31.42 cnf('1.1.1.1.1.1',plain,[-(equivalence(44 ^ [], 43 ^ []))],extension(16)).
% 31.33/31.42 cnf('1.1.1.1.2',plain,[-(member(26 ^ [44 ^ [], 45 ^ []], 43 ^ [])), subset(45 ^ [], 43 ^ []), member(26 ^ [44 ^ [], 45 ^ []], 45 ^ [])],extension(19,bind([[_24684, _24798, _24628], [43 ^ [], 26 ^ [44 ^ [], 45 ^ []], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.1.1.2.1',plain,[-(subset(45 ^ [], 43 ^ []))],extension(17)).
% 31.33/31.42 cnf('1.1.1.1.2.2',plain,[-(member(26 ^ [44 ^ [], 45 ^ []], 45 ^ [])), -(27 ^ [44 ^ [], 45 ^ []])],extension(12,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.1.1.2.2.1',plain,[27 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.33/31.42 cnf('1.1.2',plain,[-(30 ^ [44 ^ [], 45 ^ []]), apply(44 ^ [], 29 ^ [44 ^ [], 45 ^ []], 28 ^ [44 ^ [], 45 ^ []])],extension(7,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.2.1',plain,[-(apply(44 ^ [], 29 ^ [44 ^ [], 45 ^ []], 28 ^ [44 ^ [], 45 ^ []])), -(25 ^ [44 ^ [], 43 ^ []]), member(29 ^ [44 ^ [], 45 ^ []], 43 ^ []), member(28 ^ [44 ^ [], 45 ^ []], 43 ^ []), apply(44 ^ [], 28 ^ [44 ^ [], 45 ^ []], 29 ^ [44 ^ [], 45 ^ []])],extension(14,bind([[_31550, _31697, _32141, _32208], [43 ^ [], 44 ^ [], 28 ^ [44 ^ [], 45 ^ []], 29 ^ [44 ^ [], 45 ^ []]]]))).
% 31.33/31.42 cnf('1.1.2.1.1',plain,[25 ^ [44 ^ [], 43 ^ []], equivalence(44 ^ [], 43 ^ [])],extension(21,bind([[_31697, _31550], [44 ^ [], 43 ^ []]]))).
% 31.33/31.42 cnf('1.1.2.1.1.1',plain,[-(equivalence(44 ^ [], 43 ^ []))],extension(16)).
% 31.33/31.42 cnf('1.1.2.1.2',plain,[-(member(29 ^ [44 ^ [], 45 ^ []], 43 ^ [])), subset(45 ^ [], 43 ^ []), member(29 ^ [44 ^ [], 45 ^ []], 45 ^ [])],extension(19,bind([[_24684, _24798, _24628], [43 ^ [], 29 ^ [44 ^ [], 45 ^ []], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.2.1.2.1',plain,[-(subset(45 ^ [], 43 ^ []))],extension(17)).
% 31.33/31.42 cnf('1.1.2.1.2.2',plain,[-(member(29 ^ [44 ^ [], 45 ^ []], 45 ^ [])), -(30 ^ [44 ^ [], 45 ^ []])],extension(9,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.2.1.2.2.1',plain,[30 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.33/31.42 cnf('1.1.2.1.3',plain,[-(member(28 ^ [44 ^ [], 45 ^ []], 43 ^ [])), subset(45 ^ [], 43 ^ []), member(28 ^ [44 ^ [], 45 ^ []], 45 ^ [])],extension(19,bind([[_24684, _24798, _24628], [43 ^ [], 28 ^ [44 ^ [], 45 ^ []], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.2.1.3.1',plain,[-(subset(45 ^ [], 43 ^ []))],extension(17)).
% 31.33/31.42 cnf('1.1.2.1.3.2',plain,[-(member(28 ^ [44 ^ [], 45 ^ []], 45 ^ [])), -(30 ^ [44 ^ [], 45 ^ []])],extension(10,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.2.1.3.2.1',plain,[30 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.33/31.42 cnf('1.1.2.1.4',plain,[-(apply(44 ^ [], 28 ^ [44 ^ [], 45 ^ []], 29 ^ [44 ^ [], 45 ^ []])), -(30 ^ [44 ^ [], 45 ^ []])],extension(8,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.2.1.4.1',plain,[30 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.33/31.42 cnf('1.1.3',plain,[-(34 ^ [44 ^ [], 45 ^ []]), -(apply(44 ^ [], 31 ^ [44 ^ [], 45 ^ []], 32 ^ [44 ^ [], 45 ^ []]))],extension(3,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.3.1',plain,[apply(44 ^ [], 31 ^ [44 ^ [], 45 ^ []], 32 ^ [44 ^ [], 45 ^ []]), -(25 ^ [44 ^ [], 43 ^ []]), member(33 ^ [44 ^ [], 45 ^ []], 43 ^ []), member(32 ^ [44 ^ [], 45 ^ []], 43 ^ []), member(31 ^ [44 ^ [], 45 ^ []], 43 ^ []), -(apply(44 ^ [], 31 ^ [44 ^ [], 45 ^ []], 33 ^ [44 ^ [], 45 ^ []])), apply(44 ^ [], 32 ^ [44 ^ [], 45 ^ []], 33 ^ [44 ^ [], 45 ^ []])],extension(13,bind([[_31550, _32639, _31697, _32724, _32808], [43 ^ [], 31 ^ [44 ^ [], 45 ^ []], 44 ^ [], 32 ^ [44 ^ [], 45 ^ []], 33 ^ [44 ^ [], 45 ^ []]]]))).
% 31.33/31.42 cnf('1.1.3.1.1',plain,[25 ^ [44 ^ [], 43 ^ []], equivalence(44 ^ [], 43 ^ [])],extension(21,bind([[_31697, _31550], [44 ^ [], 43 ^ []]]))).
% 31.33/31.42 cnf('1.1.3.1.1.1',plain,[-(equivalence(44 ^ [], 43 ^ []))],extension(16)).
% 31.33/31.42 cnf('1.1.3.1.2',plain,[-(member(33 ^ [44 ^ [], 45 ^ []], 43 ^ [])), subset(45 ^ [], 43 ^ []), member(33 ^ [44 ^ [], 45 ^ []], 45 ^ [])],extension(19,bind([[_24684, _24798, _24628], [43 ^ [], 33 ^ [44 ^ [], 45 ^ []], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.3.1.2.1',plain,[-(subset(45 ^ [], 43 ^ []))],extension(17)).
% 31.33/31.42 cnf('1.1.3.1.2.2',plain,[-(member(33 ^ [44 ^ [], 45 ^ []], 45 ^ [])), -(34 ^ [44 ^ [], 45 ^ []])],extension(4,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.3.1.2.2.1',plain,[34 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.33/31.42 cnf('1.1.3.1.3',plain,[-(member(32 ^ [44 ^ [], 45 ^ []], 43 ^ [])), subset(45 ^ [], 43 ^ []), member(32 ^ [44 ^ [], 45 ^ []], 45 ^ [])],extension(19,bind([[_24684, _24798, _24628], [43 ^ [], 32 ^ [44 ^ [], 45 ^ []], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.3.1.3.1',plain,[-(subset(45 ^ [], 43 ^ []))],extension(17)).
% 31.33/31.42 cnf('1.1.3.1.3.2',plain,[-(member(32 ^ [44 ^ [], 45 ^ []], 45 ^ [])), -(34 ^ [44 ^ [], 45 ^ []])],extension(5,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.3.1.3.2.1',plain,[34 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.33/31.42 cnf('1.1.3.1.4',plain,[-(member(31 ^ [44 ^ [], 45 ^ []], 43 ^ [])), subset(45 ^ [], 43 ^ []), member(31 ^ [44 ^ [], 45 ^ []], 45 ^ [])],extension(19,bind([[_24684, _24798, _24628], [43 ^ [], 31 ^ [44 ^ [], 45 ^ []], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.3.1.4.1',plain,[-(subset(45 ^ [], 43 ^ []))],extension(17)).
% 31.33/31.42 cnf('1.1.3.1.4.2',plain,[-(member(31 ^ [44 ^ [], 45 ^ []], 45 ^ [])), -(34 ^ [44 ^ [], 45 ^ []])],extension(6,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.3.1.4.2.1',plain,[34 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.33/31.42 cnf('1.1.3.1.5',plain,[apply(44 ^ [], 31 ^ [44 ^ [], 45 ^ []], 33 ^ [44 ^ [], 45 ^ []]), -(34 ^ [44 ^ [], 45 ^ []])],extension(1,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.3.1.5.1',plain,[34 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.33/31.42 cnf('1.1.3.1.6',plain,[-(apply(44 ^ [], 32 ^ [44 ^ [], 45 ^ []], 33 ^ [44 ^ [], 45 ^ []])), -(34 ^ [44 ^ [], 45 ^ []])],extension(2,bind([[_31697, _31550], [44 ^ [], 45 ^ []]]))).
% 31.33/31.42 cnf('1.1.3.1.6.1',plain,[34 ^ [44 ^ [], 45 ^ []]],reduction('1.1')).
% 31.33/31.42 %-----------------------------------------------------
% 31.33/31.42
% 31.33/31.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------