TSTP Solution File: SET066+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET066+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.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 02:50:52 EDT 2022
% Result : Theorem 16.59s 17.00s
% Output : Proof 16.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SET066+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.09/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 19:55:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 16.59/17.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.59/17.01 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.59/17.02
% 16.59/17.02 %-----------------------------------------------------
% 16.59/17.02 fof(commutativity_of_unordered_pair, conjecture, ! [_80983, _80986] : unordered_pair(_80983, _80986) = unordered_pair(_80986, _80983), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_of_unordered_pair)).
% 16.59/17.02 fof(subclass_defn, axiom, ! [_81158, _81161] : (subclass(_81158, _81161) <=> ! [_81179] : (member(_81179, _81158) => member(_81179, _81161))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', subclass_defn)).
% 16.59/17.02 fof(extensionality, axiom, ! [_81378, _81381] : (_81378 = _81381 <=> subclass(_81378, _81381) & subclass(_81381, _81378)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', extensionality)).
% 16.59/17.02 fof(unordered_pair_defn, axiom, ! [_81548, _81551, _81554] : (member(_81548, unordered_pair(_81551, _81554)) <=> member(_81548, universal_class) & (_81548 = _81551 | _81548 = _81554)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 16.59/17.02
% 16.59/17.02 cnf(1, plain, [unordered_pair(8 ^ [], 9 ^ []) = unordered_pair(9 ^ [], 8 ^ [])], clausify(commutativity_of_unordered_pair)).
% 16.59/17.02 cnf(2, plain, [-(subclass(_36374, _36430)), -(member(1 ^ [_36430, _36374], _36374))], clausify(subclass_defn)).
% 16.59/17.02 cnf(3, plain, [-(subclass(_36374, _36430)), member(1 ^ [_36430, _36374], _36430)], clausify(subclass_defn)).
% 16.59/17.02 cnf(4, plain, [-(_37009 = _37060), subclass(_37009, _37060), subclass(_37060, _37009)], clausify(extensionality)).
% 16.59/17.02 cnf(5, plain, [member(_37405, unordered_pair(_37470, _37534)), -(member(_37405, universal_class))], clausify(unordered_pair_defn)).
% 16.59/17.02 cnf(6, plain, [member(_37405, unordered_pair(_37470, _37534)), -(_37405 = _37470), -(_37405 = _37534)], clausify(unordered_pair_defn)).
% 16.59/17.02 cnf(7, plain, [-(member(_37405, unordered_pair(_37470, _37534))), member(_37405, universal_class), _37405 = _37470], clausify(unordered_pair_defn)).
% 16.59/17.02 cnf(8, plain, [-(member(_37405, unordered_pair(_37470, _37534))), member(_37405, universal_class), _37405 = _37534], clausify(unordered_pair_defn)).
% 16.59/17.02
% 16.59/17.02 cnf('1',plain,[unordered_pair(8 ^ [], 9 ^ []) = unordered_pair(9 ^ [], 8 ^ [])],start(1)).
% 16.59/17.02 cnf('1.1',plain,[-(unordered_pair(8 ^ [], 9 ^ []) = unordered_pair(9 ^ [], 8 ^ [])), subclass(unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])), subclass(unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ []))],extension(4,bind([[_37060, _37009], [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])]]))).
% 16.59/17.02 cnf('1.1.1',plain,[-(subclass(unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ []))), -(member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(8 ^ [], 9 ^ [])))],extension(2,bind([[_36430, _36374], [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])]]))).
% 16.59/17.02 cnf('1.1.1.1',plain,[member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(8 ^ [], 9 ^ [])), -(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])] = 8 ^ []), -(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])] = 9 ^ [])],extension(6,bind([[_37470, _37405, _37534], [8 ^ [], 1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], 9 ^ []]]))).
% 16.59/17.02 cnf('1.1.1.1.1',plain,[1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])] = 8 ^ [], -(member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(9 ^ [], 8 ^ []))), member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], universal_class)],extension(8,bind([[_37470, _37534, _37405], [9 ^ [], 8 ^ [], 1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])]]]))).
% 16.59/17.02 cnf('1.1.1.1.1.1',plain,[member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(9 ^ [], 8 ^ [])), -(subclass(unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])))],extension(3,bind([[_36374, _36430], [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])]]))).
% 16.59/17.02 cnf('1.1.1.1.1.1.1',plain,[subclass(unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ []))],reduction('1.1')).
% 16.59/17.02 cnf('1.1.1.1.1.2',plain,[-(member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], universal_class)), member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(8 ^ [], 9 ^ []))],extension(5,bind([[_37405, _37470, _37534], [1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], 8 ^ [], 9 ^ []]]))).
% 16.59/17.02 cnf('1.1.1.1.1.2.1',plain,[-(member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(8 ^ [], 9 ^ [])))],reduction('1.1.1')).
% 16.59/17.02 cnf('1.1.1.1.2',plain,[1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])] = 9 ^ [], -(member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(9 ^ [], 8 ^ []))), member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], universal_class)],extension(7,bind([[_37470, _37534, _37405], [9 ^ [], 8 ^ [], 1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])]]]))).
% 16.59/17.02 cnf('1.1.1.1.2.1',plain,[member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(9 ^ [], 8 ^ [])), -(subclass(unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])))],extension(3,bind([[_36374, _36430], [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])]]))).
% 16.59/17.02 cnf('1.1.1.1.2.1.1',plain,[subclass(unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ []))],reduction('1.1')).
% 16.59/17.02 cnf('1.1.1.1.2.2',plain,[-(member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], universal_class)), member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(8 ^ [], 9 ^ []))],extension(5,bind([[_37405, _37470, _37534], [1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], 8 ^ [], 9 ^ []]]))).
% 16.59/17.02 cnf('1.1.1.1.2.2.1',plain,[-(member(1 ^ [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(8 ^ [], 9 ^ [])))],reduction('1.1.1')).
% 16.59/17.02 cnf('1.1.2',plain,[-(subclass(unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ []))), -(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], unordered_pair(9 ^ [], 8 ^ [])))],extension(2,bind([[_36430, _36374], [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])]]))).
% 16.59/17.02 cnf('1.1.2.1',plain,[member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], unordered_pair(9 ^ [], 8 ^ [])), -(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])] = 9 ^ []), -(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])] = 8 ^ [])],extension(6,bind([[_37470, _37405, _37534], [9 ^ [], 1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], 8 ^ []]]))).
% 16.59/17.02 cnf('1.1.2.1.1',plain,[1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])] = 9 ^ [], -(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 9 ^ []))), member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], universal_class)],extension(8,bind([[_37470, _37534, _37405], [8 ^ [], 9 ^ [], 1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])]]]))).
% 16.59/17.02 cnf('1.1.2.1.1.1',plain,[member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 9 ^ [])), -(subclass(unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])))],extension(3,bind([[_36374, _36430], [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])]]))).
% 16.59/17.02 cnf('1.1.2.1.1.1.1',plain,[subclass(unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ []))],reduction('1.1')).
% 16.59/17.02 cnf('1.1.2.1.1.2',plain,[-(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], universal_class)), member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], unordered_pair(9 ^ [], 8 ^ []))],extension(5,bind([[_37405, _37470, _37534], [1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], 9 ^ [], 8 ^ []]]))).
% 16.59/17.02 cnf('1.1.2.1.1.2.1',plain,[-(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], unordered_pair(9 ^ [], 8 ^ [])))],reduction('1.1.2')).
% 16.59/17.02 cnf('1.1.2.1.2',plain,[1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])] = 8 ^ [], -(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 9 ^ []))), member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], universal_class)],extension(7,bind([[_37470, _37534, _37405], [8 ^ [], 9 ^ [], 1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])]]]))).
% 16.59/17.02 cnf('1.1.2.1.2.1',plain,[member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 9 ^ [])), -(subclass(unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])))],extension(3,bind([[_36374, _36430], [unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])]]))).
% 16.59/17.02 cnf('1.1.2.1.2.1.1',plain,[subclass(unordered_pair(9 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ []))],reduction('1.1')).
% 16.59/17.02 cnf('1.1.2.1.2.2',plain,[-(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], universal_class)), member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], unordered_pair(9 ^ [], 8 ^ []))],extension(5,bind([[_37405, _37470, _37534], [1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], 9 ^ [], 8 ^ []]]))).
% 16.59/17.02 cnf('1.1.2.1.2.2.1',plain,[-(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(9 ^ [], 8 ^ [])], unordered_pair(9 ^ [], 8 ^ [])))],reduction('1.1.2')).
% 16.59/17.02 %-----------------------------------------------------
% 16.59/17.03
% 16.59/17.03 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------