TSTP Solution File: SET079+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET079+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 02:51:04 EDT 2022
% Result : Theorem 240.26s 231.47s
% Output : Proof 240.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET079+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 05:25:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 240.26/231.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 240.26/231.47 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 240.26/231.48
% 240.26/231.48 %-----------------------------------------------------
% 240.26/231.48 fof(extensionality, axiom, ! [_105702, _105705] : (_105702 = _105705 <=> subclass(_105702, _105705) & subclass(_105705, _105702)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', extensionality)).
% 240.26/231.48 fof(null_class_defn, axiom, ! [_105892] : ~ member(_105892, null_class), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', null_class_defn)).
% 240.26/231.48 fof(subclass_defn, axiom, ! [_106017, _106020] : (subclass(_106017, _106020) <=> ! [_106038] : (member(_106038, _106017) => member(_106038, _106020))), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', subclass_defn)).
% 240.26/231.48 fof(unordered_pair_defn, axiom, ! [_106222, _106225, _106228] : (member(_106222, unordered_pair(_106225, _106228)) <=> member(_106222, universal_class) & (_106222 = _106225 | _106222 = _106228)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 240.26/231.48 fof(corollary_to_set_in_its_singleton, conjecture, ! [_106473] : (member(_106473, universal_class) => (! singleton(_106473)) = null_class), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', corollary_to_set_in_its_singleton)).
% 240.26/231.48 fof(singleton_set_defn, axiom, ! [_106642] : singleton(_106642) = unordered_pair(_106642, _106642), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', singleton_set_defn)).
% 240.26/231.48
% 240.26/231.48 cnf(1, plain, [-(_22657 = _22657)], theory(equality)).
% 240.26/231.48 cnf(2, plain, [-(subclass(_25528, _25659)), subclass(_25461, _25594), _25461 = _25528, _25594 = _25659], theory(equality)).
% 240.26/231.48 cnf(3, plain, [_37086 = _37137, -(subclass(_37086, _37137))], clausify(extensionality)).
% 240.26/231.48 cnf(4, plain, [member(_42765, null_class)], clausify(null_class_defn)).
% 240.26/231.48 cnf(5, plain, [subclass(_36451, _36507), member(_36621, _36451), -(member(_36621, _36507))], clausify(subclass_defn)).
% 240.26/231.48 cnf(6, plain, [-(member(_37482, unordered_pair(_37547, _37611))), member(_37482, universal_class), _37482 = _37611], clausify(unordered_pair_defn)).
% 240.26/231.48 cnf(7, plain, [-(member(8 ^ [], universal_class))], clausify(corollary_to_set_in_its_singleton)).
% 240.26/231.48 cnf(8, plain, [-(singleton(_38354) = unordered_pair(_38354, _38354))], clausify(singleton_set_defn)).
% 240.26/231.48 cnf(9, plain, [-(singleton(8 ^ []) = null_class)], clausify(corollary_to_set_in_its_singleton)).
% 240.26/231.48
% 240.26/231.48 cnf('1',plain,[-(member(8 ^ [], universal_class))],start(7)).
% 240.26/231.48 cnf('1.1',plain,[member(8 ^ [], universal_class), -(member(8 ^ [], unordered_pair(8 ^ [], 8 ^ []))), 8 ^ [] = 8 ^ []],extension(6,bind([[_37547, _37482, _37611], [8 ^ [], 8 ^ [], 8 ^ []]]))).
% 240.26/231.48 cnf('1.1.1',plain,[member(8 ^ [], unordered_pair(8 ^ [], 8 ^ [])), subclass(unordered_pair(8 ^ [], 8 ^ []), null_class), -(member(8 ^ [], null_class))],extension(5,bind([[_36451, _36621, _36507], [unordered_pair(8 ^ [], 8 ^ []), 8 ^ [], null_class]]))).
% 240.26/231.48 cnf('1.1.1.1',plain,[-(subclass(unordered_pair(8 ^ [], 8 ^ []), null_class)), subclass(singleton(8 ^ []), null_class), singleton(8 ^ []) = unordered_pair(8 ^ [], 8 ^ []), null_class = null_class],extension(2,bind([[_25461, _25528, _25594, _25659], [singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ []), null_class, null_class]]))).
% 240.26/231.48 cnf('1.1.1.1.1',plain,[-(subclass(singleton(8 ^ []), null_class)), singleton(8 ^ []) = null_class],extension(3,bind([[_37086, _37137], [singleton(8 ^ []), null_class]]))).
% 240.26/231.48 cnf('1.1.1.1.1.1',plain,[-(singleton(8 ^ []) = null_class)],extension(9)).
% 240.26/231.48 cnf('1.1.1.1.2',plain,[-(singleton(8 ^ []) = unordered_pair(8 ^ [], 8 ^ []))],extension(8,bind([[_38354], [8 ^ []]]))).
% 240.26/231.48 cnf('1.1.1.1.3',plain,[-(null_class = null_class)],extension(1,bind([[_22657], [null_class]]))).
% 240.26/231.48 cnf('1.1.1.2',plain,[member(8 ^ [], null_class)],extension(4,bind([[_42765], [8 ^ []]]))).
% 240.26/231.48 cnf('1.1.2',plain,[-(8 ^ [] = 8 ^ [])],extension(1,bind([[_22657], [8 ^ []]]))).
% 240.26/231.48 %-----------------------------------------------------
% 240.26/231.48
% 240.26/231.48 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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