TSTP Solution File: SET734+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET734+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 02:55:39 EDT 2022
% Result : Theorem 3.29s 3.46s
% Output : Proof 3.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET734+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 20:25:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.29/3.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.29/3.47 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.29/3.48
% 3.29/3.48 %-----------------------------------------------------
% 3.29/3.48 fof(thII25, conjecture, ! [_125665, _125668, _125671, _125674] : (maps(_125668, _125671, _125674) & maps(_125665, _125674, _125671) & identity(compose_function(_125668, _125665, _125674, _125671, _125674), _125674) => surjective(_125668, _125671, _125674)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thII25)).
% 3.29/3.48 fof(compose_function, axiom, ! [_126066, _126069, _126072, _126075, _126078, _126081, _126084] : (member(_126081, _126072) & member(_126084, _126078) => (apply(compose_function(_126066, _126069, _126072, _126075, _126078), _126081, _126084) <=> ? [_126141] : (member(_126141, _126075) & apply(_126069, _126081, _126141) & apply(_126066, _126141, _126084)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', compose_function)).
% 3.29/3.48 fof(identity, axiom, ! [_126490, _126493] : (identity(_126490, _126493) <=> ! [_126511] : (member(_126511, _126493) => apply(_126490, _126511, _126511))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', identity)).
% 3.29/3.48 fof(surjective, axiom, ! [_126710, _126713, _126716] : (surjective(_126710, _126713, _126716) <=> ! [_126737] : (member(_126737, _126716) => ? [_126755] : (member(_126755, _126713) & apply(_126710, _126755, _126737)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', surjective)).
% 3.29/3.48
% 3.29/3.48 cnf(1, plain, [-(identity(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 44 ^ []))], clausify(thII25)).
% 3.29/3.48 cnf(2, plain, [surjective(42 ^ [], 43 ^ [], 44 ^ [])], clausify(thII25)).
% 3.29/3.48 cnf(3, plain, [-(_23992 = _23992)], theory(equality)).
% 3.29/3.48 cnf(4, plain, [-(apply(_24985, _25152, _25315)), apply(_24900, _25069, _25234), _24900 = _24985, _25069 = _25152, _25234 = _25315], theory(equality)).
% 3.29/3.48 cnf(5, plain, [member(_64034, _63827), member(_63931, _63616), apply(compose_function(_63401, _63509, _63616, _63722, _63827), _63931, _64034), -(member(13 ^ [_64034, _63931, _63827, _63722, _63616, _63509, _63401], _63722))], clausify(compose_function)).
% 3.29/3.48 cnf(6, plain, [member(_64034, _63827), member(_63931, _63616), apply(compose_function(_63401, _63509, _63616, _63722, _63827), _63931, _64034), -(apply(_63401, 13 ^ [_64034, _63931, _63827, _63722, _63616, _63509, _63401], _64034))], clausify(compose_function)).
% 3.29/3.48 cnf(7, plain, [identity(_66518, _66575), member(_66690, _66575), -(apply(_66518, _66690, _66690))], clausify(identity)).
% 3.29/3.48 cnf(8, plain, [-(surjective(_68313, _68387, _68460)), -(member(22 ^ [_68460, _68387, _68313], _68460))], clausify(surjective)).
% 3.29/3.48 cnf(9, plain, [-(surjective(_68313, _68387, _68460)), member(_90340, _68387), apply(_68313, _90340, 22 ^ [_68460, _68387, _68313])], clausify(surjective)).
% 3.29/3.48
% 3.29/3.48 cnf('1',plain,[surjective(42 ^ [], 43 ^ [], 44 ^ [])],start(2)).
% 3.29/3.48 cnf('1.1',plain,[-(surjective(42 ^ [], 43 ^ [], 44 ^ [])), -(member(22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ []))],extension(8,bind([[_68387, _68313, _68460], [43 ^ [], 42 ^ [], 44 ^ []]]))).
% 3.29/3.48 cnf('1.1.1',plain,[member(22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ []), member(22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ []), apply(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []]), -(member(13 ^ [22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ [], 43 ^ [], 44 ^ [], 41 ^ [], 42 ^ []], 43 ^ []))],extension(5,bind([[_64034, _63931, _63827, _63616, _63509, _63401, _63722], [22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ [], 44 ^ [], 41 ^ [], 42 ^ [], 43 ^ []]]))).
% 3.29/3.48 cnf('1.1.1.1',plain,[-(member(22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ []))],reduction('1.1')).
% 3.29/3.48 cnf('1.1.1.2',plain,[-(apply(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []])), apply(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []]), compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []) = compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 22 ^ [44 ^ [], 43 ^ [], 42 ^ []] = 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []] = 22 ^ [44 ^ [], 43 ^ [], 42 ^ []]],extension(4,bind([[_24900, _24985, _25069, _25152, _25234, _25315], [compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []]]]))).
% 3.29/3.48 cnf('1.1.1.2.1',plain,[-(apply(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []])), identity(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 44 ^ []), member(22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ [])],extension(7,bind([[_66518, _66690, _66575], [compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ []]]))).
% 3.29/3.48 cnf('1.1.1.2.1.1',plain,[-(identity(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 44 ^ []))],extension(1)).
% 3.29/3.48 cnf('1.1.1.2.1.2',plain,[-(member(22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ []))],lemmata('1.1.1')).
% 3.29/3.48 cnf('1.1.1.2.2',plain,[-(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []) = compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []))],extension(3,bind([[_23992], [compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ [])]]))).
% 3.29/3.48 cnf('1.1.1.2.3',plain,[-(22 ^ [44 ^ [], 43 ^ [], 42 ^ []] = 22 ^ [44 ^ [], 43 ^ [], 42 ^ []])],extension(3,bind([[_23992], [22 ^ [44 ^ [], 43 ^ [], 42 ^ []]]]))).
% 3.29/3.48 cnf('1.1.1.2.4',plain,[-(22 ^ [44 ^ [], 43 ^ [], 42 ^ []] = 22 ^ [44 ^ [], 43 ^ [], 42 ^ []])],extension(3,bind([[_23992], [22 ^ [44 ^ [], 43 ^ [], 42 ^ []]]]))).
% 3.29/3.48 cnf('1.1.1.3',plain,[member(13 ^ [22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ [], 43 ^ [], 44 ^ [], 41 ^ [], 42 ^ []], 43 ^ []), -(surjective(42 ^ [], 43 ^ [], 44 ^ [])), apply(42 ^ [], 13 ^ [22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ [], 43 ^ [], 44 ^ [], 41 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []])],extension(9,bind([[_90340, _68460, _68387, _68313], [13 ^ [22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ [], 43 ^ [], 44 ^ [], 41 ^ [], 42 ^ []], 44 ^ [], 43 ^ [], 42 ^ []]]))).
% 3.29/3.48 cnf('1.1.1.3.1',plain,[surjective(42 ^ [], 43 ^ [], 44 ^ [])],extension(2)).
% 3.29/3.48 cnf('1.1.1.3.2',plain,[-(apply(42 ^ [], 13 ^ [22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ [], 43 ^ [], 44 ^ [], 41 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []])), member(22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ []), member(22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ []), apply(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []])],extension(6,bind([[_63401, _63509, _63616, _63722, _63827, _63931, _64034], [42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ [], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []]]]))).
% 3.29/3.48 cnf('1.1.1.3.2.1',plain,[-(member(22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ []))],lemmata('1.1.1')).
% 3.29/3.48 cnf('1.1.1.3.2.2',plain,[-(member(22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 44 ^ []))],lemmata('1.1.1.3.2')).
% 3.29/3.48 cnf('1.1.1.3.2.3',plain,[-(apply(compose_function(42 ^ [], 41 ^ [], 44 ^ [], 43 ^ [], 44 ^ []), 22 ^ [44 ^ [], 43 ^ [], 42 ^ []], 22 ^ [44 ^ [], 43 ^ [], 42 ^ []]))],lemmata('1.1.1')).
% 3.29/3.48 %-----------------------------------------------------
% 3.29/3.48
% 3.29/3.48 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------