TSTP Solution File: SET024+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET024+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 02:50:10 EDT 2022
% Result : Theorem 11.93s 11.77s
% Output : Proof 12.02s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET024+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 08:59:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 11.93/11.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.93/11.78 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.93/11.79
% 11.93/11.79 %-----------------------------------------------------
% 11.93/11.79 fof(set_in_its_singleton, conjecture, ! [_76171] : (member(_76171, universal_class) => member(_76171, singleton(_76171))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', set_in_its_singleton)).
% 11.93/11.79 fof(subclass_defn, axiom, ! [_76388, _76391] : (subclass(_76388, _76391) <=> ! [_76409] : (member(_76409, _76388) => member(_76409, _76391))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', subclass_defn)).
% 11.93/11.79 fof(unordered_pair_defn, axiom, ! [_76610, _76613, _76616] : (member(_76610, unordered_pair(_76613, _76616)) <=> member(_76610, universal_class) & (_76610 = _76613 | _76610 = _76616)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 11.93/11.79 fof(singleton_set_defn, axiom, ! [_76845] : singleton(_76845) = unordered_pair(_76845, _76845), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', singleton_set_defn)).
% 11.93/11.79
% 11.93/11.79 cnf(1, plain, [-(member(8 ^ [], universal_class))], clausify(set_in_its_singleton)).
% 11.93/11.79 cnf(2, plain, [member(8 ^ [], singleton(8 ^ []))], clausify(set_in_its_singleton)).
% 11.93/11.79 cnf(3, plain, [-(_22582 = _22582)], theory(equality)).
% 11.93/11.79 cnf(4, plain, [_22735 = _22780, -(_22780 = _22735)], theory(equality)).
% 11.93/11.79 cnf(5, plain, [-(member(_24839, _24970)), member(_24772, _24905), _24772 = _24839, _24905 = _24970], theory(equality)).
% 11.93/11.79 cnf(6, plain, [-(subclass(_36376, _36432)), -(member(1 ^ [_36432, _36376], _36376))], clausify(subclass_defn)).
% 11.93/11.79 cnf(7, plain, [subclass(_36376, _36432), member(_36546, _36376), -(member(_36546, _36432))], clausify(subclass_defn)).
% 11.93/11.79 cnf(8, plain, [member(_37407, unordered_pair(_37472, _37536)), -(_37407 = _37472), -(_37407 = _37536)], clausify(unordered_pair_defn)).
% 11.93/11.79 cnf(9, plain, [-(member(_37407, unordered_pair(_37472, _37536))), member(_37407, universal_class), _37407 = _37472], clausify(unordered_pair_defn)).
% 11.93/11.79 cnf(10, plain, [-(singleton(_38279) = unordered_pair(_38279, _38279))], clausify(singleton_set_defn)).
% 11.93/11.79
% 11.93/11.79 cnf('1',plain,[member(8 ^ [], singleton(8 ^ []))],start(2)).
% 11.93/11.79 cnf('1.1',plain,[-(member(8 ^ [], singleton(8 ^ []))), subclass(unordered_pair(8 ^ [], 8 ^ []), singleton(8 ^ [])), member(8 ^ [], unordered_pair(8 ^ [], 8 ^ []))],extension(7,bind([[_36432, _36546, _36376], [singleton(8 ^ []), 8 ^ [], unordered_pair(8 ^ [], 8 ^ [])]]))).
% 11.93/11.79 cnf('1.1.1',plain,[-(subclass(unordered_pair(8 ^ [], 8 ^ []), singleton(8 ^ []))), -(member(1 ^ [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 8 ^ [])))],extension(6,bind([[_36432, _36376], [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])]]))).
% 11.93/11.79 cnf('1.1.1.1',plain,[member(1 ^ [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 8 ^ [])), -(member(8 ^ [], singleton(8 ^ []))), 1 ^ [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])] = 8 ^ [], unordered_pair(8 ^ [], 8 ^ []) = singleton(8 ^ [])],extension(5,bind([[_24772, _24839, _24905, _24970], [1 ^ [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])], 8 ^ [], unordered_pair(8 ^ [], 8 ^ []), singleton(8 ^ [])]]))).
% 11.93/11.79 cnf('1.1.1.1.1',plain,[member(8 ^ [], singleton(8 ^ []))],extension(2)).
% 11.93/11.79 cnf('1.1.1.1.2',plain,[-(1 ^ [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])] = 8 ^ []), member(1 ^ [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 8 ^ [])), -(1 ^ [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])] = 8 ^ [])],extension(8,bind([[_37472, _37407, _37536], [8 ^ [], 1 ^ [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])], 8 ^ []]]))).
% 11.93/11.79 cnf('1.1.1.1.2.1',plain,[-(member(1 ^ [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 8 ^ [])))],reduction('1.1.1')).
% 11.93/11.79 cnf('1.1.1.1.2.2',plain,[1 ^ [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])] = 8 ^ []],reduction('1.1.1.1')).
% 11.93/11.79 cnf('1.1.1.1.3',plain,[-(unordered_pair(8 ^ [], 8 ^ []) = singleton(8 ^ [])), singleton(8 ^ []) = unordered_pair(8 ^ [], 8 ^ [])],extension(4,bind([[_22735, _22780], [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])]]))).
% 11.93/11.79 cnf('1.1.1.1.3.1',plain,[-(singleton(8 ^ []) = unordered_pair(8 ^ [], 8 ^ []))],extension(10,bind([[_38279], [8 ^ []]]))).
% 11.93/11.79 cnf('1.1.2',plain,[-(member(8 ^ [], unordered_pair(8 ^ [], 8 ^ []))), member(8 ^ [], universal_class), 8 ^ [] = 8 ^ []],extension(9,bind([[_37536, _37407, _37472], [8 ^ [], 8 ^ [], 8 ^ []]]))).
% 11.93/11.79 cnf('1.1.2.1',plain,[-(member(8 ^ [], universal_class))],extension(1)).
% 11.93/11.79 cnf('1.1.2.2',plain,[-(8 ^ [] = 8 ^ [])],extension(3,bind([[_22582], [8 ^ []]]))).
% 11.93/11.79 %-----------------------------------------------------
% 11.93/11.79
% 12.02/11.79 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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