TSTP Solution File: SET714+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET714+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 02:55:32 EDT 2022
% Result : Theorem 0.47s 1.44s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET714+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 03:51:00 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.47/1.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.45 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.46
% 0.47/1.46 %-----------------------------------------------------
% 0.47/1.46 fof(thII05, conjecture, ! [_124008, _124011, _124014] : (maps(_124008, _124011, _124014) & one_to_one(_124008, _124011, _124014) => identity(compose_function(inverse_function(_124008, _124011, _124014), _124008, _124011, _124014, _124011), _124011)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thII05)).
% 0.47/1.46 fof(maps, axiom, ! [_124352, _124355, _124358] : (maps(_124352, _124355, _124358) <=> ! [_124379] : (member(_124379, _124355) => ? [_124397] : (member(_124397, _124358) & apply(_124352, _124379, _124397))) & ! [_124379, _124430, _124433] : (member(_124379, _124355) & member(_124430, _124358) & member(_124433, _124358) => apply(_124352, _124379, _124430) & apply(_124352, _124379, _124433) => _124430 = _124433)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', maps)).
% 0.47/1.46 fof(compose_function, axiom, ! [_124894, _124897, _124900, _124903, _124906, _124909, _124912] : (member(_124909, _124900) & member(_124912, _124906) => (apply(compose_function(_124894, _124897, _124900, _124903, _124906), _124909, _124912) <=> ? [_124969] : (member(_124969, _124903) & apply(_124897, _124909, _124969) & apply(_124894, _124969, _124912)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', compose_function)).
% 0.47/1.46 fof(identity, axiom, ! [_125302, _125305] : (identity(_125302, _125305) <=> ! [_125323] : (member(_125323, _125305) => apply(_125302, _125323, _125323))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', identity)).
% 0.47/1.46 fof(inverse_function, axiom, ! [_125546, _125549, _125552, _125555, _125558] : (member(_125555, _125549) & member(_125558, _125552) => (apply(_125546, _125555, _125558) <=> apply(inverse_function(_125546, _125549, _125552), _125558, _125555))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', inverse_function)).
% 0.47/1.46
% 0.47/1.46 cnf(1, plain, [-(maps(41 ^ [], 42 ^ [], 43 ^ []))], clausify(thII05)).
% 0.47/1.46 cnf(2, plain, [identity(compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ []), 42 ^ [])], clausify(thII05)).
% 0.47/1.46 cnf(3, plain, [maps(_59670, _59797, _59923), member(_60157, _59797), -(member(4 ^ [_60157, _59923, _59797, _59670], _59923))], clausify(maps)).
% 0.47/1.46 cnf(4, plain, [maps(_59670, _59797, _59923), member(_60157, _59797), -(apply(_59670, _60157, 4 ^ [_60157, _59923, _59797, _59670]))], clausify(maps)).
% 0.47/1.46 cnf(5, plain, [member(_63968, _63761), member(_63865, _63550), -(apply(compose_function(_63335, _63443, _63550, _63656, _63761), _63865, _63968)), member(_64460, _63656), apply(_63443, _63865, _64460), apply(_63335, _64460, _63968)], clausify(compose_function)).
% 0.47/1.46 cnf(6, plain, [-(identity(_66452, _66509)), -(member(17 ^ [_66509, _66452], _66509))], clausify(identity)).
% 0.47/1.46 cnf(7, plain, [-(identity(_66452, _66509)), apply(_66452, 17 ^ [_66509, _66452], 17 ^ [_66509, _66452])], clausify(identity)).
% 0.47/1.46 cnf(8, plain, [member(_71082, _70931), member(_71007, _70854), apply(_70776, _71007, _71082), -(apply(inverse_function(_70776, _70854, _70931), _71082, _71007))], clausify(inverse_function)).
% 0.47/1.46
% 0.47/1.46 cnf('1',plain,[identity(compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ []), 42 ^ [])],start(2)).
% 0.47/1.46 cnf('1.1',plain,[-(identity(compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ []), 42 ^ [])), -(member(17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ []))],extension(6,bind([[_66452, _66509], [compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ []), 42 ^ []]]))).
% 0.47/1.46 cnf('1.1.1',plain,[member(17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ []), member(17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ []), -(apply(compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ []), 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])])), member(4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 43 ^ []), apply(41 ^ [], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []]), apply(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])])],extension(5,bind([[_63550, _63761, _63656, _63443, _63865, _63335, _64460, _63968], [42 ^ [], 42 ^ [], 43 ^ [], 41 ^ [], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])]]]))).
% 0.47/1.46 cnf('1.1.1.1',plain,[-(member(17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ []))],reduction('1.1')).
% 0.47/1.46 cnf('1.1.1.2',plain,[apply(compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ []), 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])]), -(identity(compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ []), 42 ^ []))],extension(7,bind([[_66452, _66509], [compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ []), 42 ^ []]]))).
% 0.47/1.46 cnf('1.1.1.2.1',plain,[identity(compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ []), 42 ^ [])],extension(2)).
% 0.47/1.46 cnf('1.1.1.3',plain,[-(member(4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 43 ^ [])), maps(41 ^ [], 42 ^ [], 43 ^ []), member(17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ [])],extension(3,bind([[_59670, _59923, _60157, _59797], [41 ^ [], 43 ^ [], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ []]]))).
% 0.47/1.46 cnf('1.1.1.3.1',plain,[-(maps(41 ^ [], 42 ^ [], 43 ^ []))],extension(1)).
% 0.47/1.46 cnf('1.1.1.3.2',plain,[-(member(17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ []))],lemmata('1.1.1')).
% 0.47/1.46 cnf('1.1.1.4',plain,[-(apply(41 ^ [], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []])), maps(41 ^ [], 42 ^ [], 43 ^ []), member(17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ [])],extension(4,bind([[_59670, _59923, _60157, _59797], [41 ^ [], 43 ^ [], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ []]]))).
% 0.47/1.46 cnf('1.1.1.4.1',plain,[-(maps(41 ^ [], 42 ^ [], 43 ^ []))],extension(1)).
% 0.47/1.46 cnf('1.1.1.4.2',plain,[-(member(17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ []))],lemmata('1.1.1')).
% 0.47/1.46 cnf('1.1.1.5',plain,[-(apply(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])])), member(4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 43 ^ []), member(17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ []), apply(41 ^ [], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []])],extension(8,bind([[_70931, _70854, _70776, _71007, _71082], [43 ^ [], 42 ^ [], 41 ^ [], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []]]]))).
% 0.47/1.46 cnf('1.1.1.5.1',plain,[-(member(4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []], 43 ^ []))],lemmata('1.1.1')).
% 0.47/1.46 cnf('1.1.1.5.2',plain,[-(member(17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 42 ^ []))],lemmata('1.1.1')).
% 0.47/1.46 cnf('1.1.1.5.3',plain,[-(apply(41 ^ [], 17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 4 ^ [17 ^ [42 ^ [], compose_function(inverse_function(41 ^ [], 42 ^ [], 43 ^ []), 41 ^ [], 42 ^ [], 43 ^ [], 42 ^ [])], 43 ^ [], 42 ^ [], 41 ^ []]))],lemmata('1.1.1')).
% 0.47/1.46 %-----------------------------------------------------
% 0.47/1.46
% 0.47/1.47 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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