TSTP Solution File: SET082+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET082+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 02:51:07 EDT 2022
% Result : Theorem 142.22s 138.07s
% Output : Proof 142.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET082+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.31 % Computer : n005.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 600
% 0.13/0.31 % DateTime : Sat Jul 9 22:13:37 EDT 2022
% 0.17/0.31 % CPUTime :
% 142.22/138.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 142.22/138.08 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 142.22/138.08
% 142.22/138.08 %-----------------------------------------------------
% 142.22/138.08 fof(regularity, axiom, ! [_77572] : ((! _77572) = null_class => ? [_77588] : (member(_77588, universal_class) & member(_77588, _77572) & disjoint(_77588, _77572))), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', regularity)).
% 142.22/138.08 fof(unordered_pair_defn, axiom, ! [_77834, _77837, _77840] : (member(_77834, unordered_pair(_77837, _77840)) <=> member(_77834, universal_class) & (_77834 = _77837 | _77834 = _77840)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 142.22/138.08 fof(singleton_is_null_class, conjecture, ! [_78071] : (~ member(_78071, universal_class) => singleton(_78071) = null_class), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singleton_is_null_class)).
% 142.22/138.08 fof(singleton_set_defn, axiom, ! [_78300] : singleton(_78300) = unordered_pair(_78300, _78300), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', singleton_set_defn)).
% 142.22/138.08
% 142.22/138.08 cnf(1, plain, [-(28 ^ [_53255]), -(member(27 ^ [_53255], _53255))], clausify(regularity)).
% 142.22/138.08 cnf(2, plain, [-(4 ^ [_37581, _37517, _37452]), -(_37452 = _37517), -(_37452 = _37581)], clausify(unordered_pair_defn)).
% 142.22/138.08 cnf(3, plain, [-(4 ^ [_37581, _37517, _37452]), -(member(_37452, universal_class))], clausify(unordered_pair_defn)).
% 142.22/138.08 cnf(4, plain, [member(30 ^ [], universal_class)], clausify(singleton_is_null_class)).
% 142.22/138.08 cnf(5, plain, [singleton(30 ^ []) = null_class], clausify(singleton_is_null_class)).
% 142.22/138.08 cnf(6, plain, [-(_22627 = _22627)], theory(equality)).
% 142.22/138.08 cnf(7, plain, [-(member(_24884, _25015)), member(_24817, _24950), _24817 = _24884, _24950 = _25015], theory(equality)).
% 142.22/138.08 cnf(8, plain, [member(_37452, unordered_pair(_37517, _37581)), 4 ^ [_37581, _37517, _37452]], clausify(unordered_pair_defn)).
% 142.22/138.08 cnf(9, plain, [-(singleton(_38324) = unordered_pair(_38324, _38324))], clausify(singleton_set_defn)).
% 142.22/138.08 cnf(10, plain, [-(_53255 = null_class), 28 ^ [_53255]], clausify(regularity)).
% 142.22/138.08
% 142.22/138.08 cnf('1',plain,[member(27 ^ [singleton(30 ^ [])], unordered_pair(30 ^ [], 30 ^ [])), 4 ^ [30 ^ [], 30 ^ [], 27 ^ [singleton(30 ^ [])]]],start(8,bind([[_37581, _37517, _37452], [30 ^ [], 30 ^ [], 27 ^ [singleton(30 ^ [])]]]))).
% 142.22/138.08 cnf('1.1',plain,[-(member(27 ^ [singleton(30 ^ [])], unordered_pair(30 ^ [], 30 ^ []))), member(27 ^ [singleton(30 ^ [])], singleton(30 ^ [])), 27 ^ [singleton(30 ^ [])] = 27 ^ [singleton(30 ^ [])], singleton(30 ^ []) = unordered_pair(30 ^ [], 30 ^ [])],extension(7,bind([[_24817, _24884, _24950, _25015], [27 ^ [singleton(30 ^ [])], 27 ^ [singleton(30 ^ [])], singleton(30 ^ []), unordered_pair(30 ^ [], 30 ^ [])]]))).
% 142.22/138.08 cnf('1.1.1',plain,[-(member(27 ^ [singleton(30 ^ [])], singleton(30 ^ []))), -(28 ^ [singleton(30 ^ [])])],extension(1,bind([[_53255], [singleton(30 ^ [])]]))).
% 142.22/138.08 cnf('1.1.1.1',plain,[28 ^ [singleton(30 ^ [])], -(singleton(30 ^ []) = null_class)],extension(10,bind([[_53255], [singleton(30 ^ [])]]))).
% 142.22/138.08 cnf('1.1.1.1.1',plain,[singleton(30 ^ []) = null_class],extension(5)).
% 142.22/138.08 cnf('1.1.2',plain,[-(27 ^ [singleton(30 ^ [])] = 27 ^ [singleton(30 ^ [])])],extension(6,bind([[_22627], [27 ^ [singleton(30 ^ [])]]]))).
% 142.22/138.08 cnf('1.1.3',plain,[-(singleton(30 ^ []) = unordered_pair(30 ^ [], 30 ^ []))],extension(9,bind([[_38324], [30 ^ []]]))).
% 142.22/138.08 cnf('1.2',plain,[-(4 ^ [30 ^ [], 30 ^ [], 27 ^ [singleton(30 ^ [])]]), -(27 ^ [singleton(30 ^ [])] = 30 ^ []), -(27 ^ [singleton(30 ^ [])] = 30 ^ [])],extension(2,bind([[_37517, _37452, _37581], [30 ^ [], 27 ^ [singleton(30 ^ [])], 30 ^ []]]))).
% 142.22/138.08 cnf('1.2.1',plain,[27 ^ [singleton(30 ^ [])] = 30 ^ [], -(member(30 ^ [], universal_class)), member(27 ^ [singleton(30 ^ [])], universal_class), universal_class = universal_class],extension(7,bind([[_24884, _24817, _24950, _25015], [30 ^ [], 27 ^ [singleton(30 ^ [])], universal_class, universal_class]]))).
% 142.22/138.08 cnf('1.2.1.1',plain,[member(30 ^ [], universal_class)],extension(4)).
% 142.22/138.08 cnf('1.2.1.2',plain,[-(member(27 ^ [singleton(30 ^ [])], universal_class)), -(4 ^ [30 ^ [], 30 ^ [], 27 ^ [singleton(30 ^ [])]])],extension(3,bind([[_37581, _37517, _37452], [30 ^ [], 30 ^ [], 27 ^ [singleton(30 ^ [])]]]))).
% 142.22/138.08 cnf('1.2.1.2.1',plain,[4 ^ [30 ^ [], 30 ^ [], 27 ^ [singleton(30 ^ [])]]],reduction('1')).
% 142.22/138.08 cnf('1.2.1.3',plain,[-(universal_class = universal_class)],extension(6,bind([[_22627], [universal_class]]))).
% 142.22/138.08 cnf('1.2.2',plain,[27 ^ [singleton(30 ^ [])] = 30 ^ []],lemmata('1.2')).
% 142.22/138.08 %-----------------------------------------------------
% 142.22/138.09
% 142.22/138.09 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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