TSTP Solution File: SET751+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET751+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 02:55:45 EDT 2022
% Result : Theorem 84.41s 81.41s
% Output : Proof 84.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET751+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 600
% 0.19/0.35 % DateTime : Sat Jul 9 19:54:56 EDT 2022
% 0.19/0.35 % CPUTime :
% 84.41/81.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.41/81.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.41/81.42
% 84.41/81.42 %-----------------------------------------------------
% 84.41/81.42 fof(thIIa01, conjecture, ! [_125898, _125901, _125904, _125907, _125910] : (maps(_125898, _125901, _125904) & subset(_125907, _125901) & subset(_125910, _125901) & subset(_125907, _125910) => subset(image2(_125898, _125907), image2(_125898, _125910))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIIa01)).
% 84.41/81.42 fof(subset, axiom, ! [_126276, _126279] : (subset(_126276, _126279) <=> ! [_126297] : (member(_126297, _126276) => member(_126297, _126279))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 84.41/81.42 fof(intersection, axiom, ! [_126510, _126513, _126516] : (member(_126510, intersection(_126513, _126516)) <=> member(_126510, _126513) & member(_126510, _126516)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 84.41/81.42 fof(image2, axiom, ! [_126802, _126805, _126808] : (member(_126808, image2(_126802, _126805)) <=> ? [_126833] : (member(_126833, _126805) & apply(_126802, _126833, _126808))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', image2)).
% 84.41/81.42
% 84.41/81.42 cnf(1, plain, [-(subset(44 ^ [], 45 ^ []))], clausify(thIIa01)).
% 84.41/81.42 cnf(2, plain, [subset(image2(41 ^ [], 44 ^ []), image2(41 ^ [], 45 ^ []))], clausify(thIIa01)).
% 84.41/81.42 cnf(3, plain, [-(_24118 = _24118)], theory(equality)).
% 84.41/81.42 cnf(4, plain, [-(apply(_25111, _25278, _25441)), apply(_25026, _25195, _25360), _25026 = _25111, _25195 = _25278, _25360 = _25441], theory(equality)).
% 84.41/81.42 cnf(5, plain, [-(member(_41133, _41264)), member(_41066, _41199), _41066 = _41133, _41199 = _41264], theory(equality)).
% 84.41/81.42 cnf(6, plain, [-(subset(_54976, _55032)), -(member(1 ^ [_55032, _54976], _54976))], clausify(subset)).
% 84.41/81.42 cnf(7, plain, [-(subset(_54976, _55032)), member(1 ^ [_55032, _54976], _55032)], clausify(subset)).
% 84.41/81.42 cnf(8, plain, [subset(_54976, _55032), member(_55146, _54976), -(member(_55146, _55032))], clausify(subset)).
% 84.41/81.42 cnf(9, plain, [member(_56163, intersection(_56222, _56280)), -(member(_56163, _56280))], clausify(intersection)).
% 84.41/81.42 cnf(10, plain, [-(member(_56163, intersection(_56222, _56280))), member(_56163, _56222), member(_56163, _56280)], clausify(intersection)).
% 84.41/81.42 cnf(11, plain, [member(_72024, image2(_71895, _71960)), -(member(25 ^ [_72024, _71960, _71895], _71960))], clausify(image2)).
% 84.41/81.42 cnf(12, plain, [member(_72024, image2(_71895, _71960)), -(apply(_71895, 25 ^ [_72024, _71960, _71895], _72024))], clausify(image2)).
% 84.41/81.42 cnf(13, plain, [-(member(_72024, image2(_71895, _71960))), member(_72184, _71960), apply(_71895, _72184, _72024)], clausify(image2)).
% 84.41/81.42
% 84.41/81.42 cnf('1',plain,[subset(image2(41 ^ [], 44 ^ []), image2(41 ^ [], 45 ^ []))],start(2)).
% 84.41/81.42 cnf('1.1',plain,[-(subset(image2(41 ^ [], 44 ^ []), image2(41 ^ [], 45 ^ []))), -(member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 44 ^ [])))],extension(6,bind([[_55032, _54976], [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])]]))).
% 84.41/81.42 cnf('1.1.1',plain,[member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 44 ^ [])), -(member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], intersection(image2(41 ^ [], 44 ^ []), image2(41 ^ [], 45 ^ [])))), member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 45 ^ []))],extension(10,bind([[_56222, _56163, _56280], [image2(41 ^ [], 44 ^ []), 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 45 ^ [])]]))).
% 84.41/81.42 cnf('1.1.1.1',plain,[member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], intersection(image2(41 ^ [], 44 ^ []), image2(41 ^ [], 45 ^ []))), -(member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 45 ^ [])))],extension(9,bind([[_56222, _56163, _56280], [image2(41 ^ [], 44 ^ []), 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 45 ^ [])]]))).
% 84.41/81.42 cnf('1.1.1.1.1',plain,[member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 45 ^ [])), -(member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 45 ^ []))), 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])] = 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 45 ^ []) = image2(41 ^ [], 45 ^ [])],extension(5,bind([[_41066, _41133, _41199, _41264], [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 45 ^ []), image2(41 ^ [], 45 ^ [])]]))).
% 84.41/81.42 cnf('1.1.1.1.1.1',plain,[member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 45 ^ [])), -(subset(image2(41 ^ [], 44 ^ []), image2(41 ^ [], 45 ^ [])))],extension(7,bind([[_54976, _55032], [image2(41 ^ [], 44 ^ []), image2(41 ^ [], 45 ^ [])]]))).
% 84.41/81.42 cnf('1.1.1.1.1.1.1',plain,[subset(image2(41 ^ [], 44 ^ []), image2(41 ^ [], 45 ^ []))],extension(2)).
% 84.41/81.42 cnf('1.1.1.1.1.2',plain,[-(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])] = 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])])],extension(3,bind([[_24118], [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])]]]))).
% 84.41/81.42 cnf('1.1.1.1.1.3',plain,[-(image2(41 ^ [], 45 ^ []) = image2(41 ^ [], 45 ^ []))],extension(3,bind([[_24118], [image2(41 ^ [], 45 ^ [])]]))).
% 84.41/81.42 cnf('1.1.1.2',plain,[-(member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 45 ^ []))), member(25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 45 ^ []), apply(41 ^ [], 25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])])],extension(13,bind([[_71960, _71895, _72184, _72024], [45 ^ [], 41 ^ [], 25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])]]]))).
% 84.41/81.42 cnf('1.1.1.2.1',plain,[-(member(25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 45 ^ [])), subset(44 ^ [], 45 ^ []), member(25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 44 ^ [])],extension(8,bind([[_55032, _55146, _54976], [45 ^ [], 25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 44 ^ []]]))).
% 84.41/81.42 cnf('1.1.1.2.1.1',plain,[-(subset(44 ^ [], 45 ^ []))],extension(1)).
% 84.41/81.42 cnf('1.1.1.2.1.2',plain,[-(member(25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 44 ^ [])), member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 44 ^ []))],extension(11,bind([[_72024, _71895, _71960], [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 41 ^ [], 44 ^ []]]))).
% 84.41/81.42 cnf('1.1.1.2.1.2.1',plain,[-(member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 44 ^ [])))],reduction('1.1')).
% 84.41/81.42 cnf('1.1.1.2.2',plain,[-(apply(41 ^ [], 25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])])), apply(41 ^ [], 25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])]), 41 ^ [] = 41 ^ [], 25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []] = 25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])] = 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])]],extension(4,bind([[_25026, _25111, _25195, _25278, _25360, _25441], [41 ^ [], 41 ^ [], 25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])]]]))).
% 84.41/81.42 cnf('1.1.1.2.2.1',plain,[-(apply(41 ^ [], 25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])])), member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 44 ^ []))],extension(12,bind([[_72024, _71895, _71960], [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 41 ^ [], 44 ^ []]]))).
% 84.41/81.42 cnf('1.1.1.2.2.1.1',plain,[-(member(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], image2(41 ^ [], 44 ^ [])))],reduction('1.1')).
% 84.41/81.42 cnf('1.1.1.2.2.2',plain,[-(41 ^ [] = 41 ^ [])],extension(3,bind([[_24118], [41 ^ []]]))).
% 84.41/81.42 cnf('1.1.1.2.2.3',plain,[-(25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []] = 25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []])],extension(3,bind([[_24118], [25 ^ [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []]]]))).
% 84.41/81.42 cnf('1.1.1.2.2.4',plain,[-(1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])] = 1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])])],extension(3,bind([[_24118], [1 ^ [image2(41 ^ [], 45 ^ []), image2(41 ^ [], 44 ^ [])]]]))).
% 84.41/81.42 %-----------------------------------------------------
% 84.41/81.43
% 84.41/81.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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