TSTP Solution File: SET073+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET073+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 02:50:59 EDT 2022
% Result : Theorem 14.17s 14.81s
% Output : Proof 14.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET073+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 09:39:02 EDT 2022
% 0.11/0.33 % CPUTime :
% 14.17/14.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.17/14.82 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.17/14.83
% 14.17/14.83 %-----------------------------------------------------
% 14.17/14.83 fof(corollary1_1, conjecture, ! [_81206, _81209] : (member(_81206, universal_class) => (! unordered_pair(_81206, _81209)) = null_class), file('/export/starexec/sandbox/benchmark/theBenchmark.p', corollary1_1)).
% 14.17/14.83 fof(subclass_defn, axiom, ! [_81433, _81436] : (subclass(_81433, _81436) <=> ! [_81454] : (member(_81454, _81433) => member(_81454, _81436))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', subclass_defn)).
% 14.17/14.83 fof(class_elements_are_sets, axiom, ! [_81661] : subclass(_81661, universal_class), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', class_elements_are_sets)).
% 14.17/14.83 fof(extensionality, axiom, ! [_81770, _81773] : (_81770 = _81773 <=> subclass(_81770, _81773) & subclass(_81773, _81770)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', extensionality)).
% 14.17/14.83 fof(unordered_pair_defn, axiom, ! [_81942, _81945, _81948] : (member(_81942, unordered_pair(_81945, _81948)) <=> member(_81942, universal_class) & (_81942 = _81945 | _81942 = _81948)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 14.17/14.83 fof(complement, axiom, ! [_82181, _82184] : (member(_82184, complement(_82181)) <=> member(_82184, universal_class) & ~ member(_82184, _82181)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', complement)).
% 14.17/14.83 fof(null_class_defn, axiom, ! [_82384] : ~ member(_82384, null_class), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', null_class_defn)).
% 14.17/14.83 fof(disjoint_defn, axiom, ! [_82547, _82550] : (disjoint(_82547, _82550) <=> ! [_82568] : ~ (member(_82568, _82547) & member(_82568, _82550))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', disjoint_defn)).
% 14.17/14.83
% 14.17/14.83 cnf(1, plain, [-(member(8 ^ [], universal_class))], clausify(corollary1_1)).
% 14.17/14.83 cnf(2, plain, [-(unordered_pair(8 ^ [], 9 ^ []) = null_class)], clausify(corollary1_1)).
% 14.17/14.83 cnf(3, plain, [-(_22666 = _22666)], theory(equality)).
% 14.17/14.83 cnf(4, plain, [-(member(_24923, _25054)), member(_24856, _24989), _24856 = _24923, _24989 = _25054], theory(equality)).
% 14.17/14.83 cnf(5, plain, [-(subclass(_36460, _36516)), -(member(1 ^ [_36516, _36460], _36460))], clausify(subclass_defn)).
% 14.17/14.83 cnf(6, plain, [-(subclass(_36460, _36516)), member(1 ^ [_36516, _36460], _36516)], clausify(subclass_defn)).
% 14.17/14.83 cnf(7, plain, [subclass(_36460, _36516), member(_36630, _36460), -(member(_36630, _36516))], clausify(subclass_defn)).
% 14.17/14.83 cnf(8, plain, [-(subclass(_36921, universal_class))], clausify(class_elements_are_sets)).
% 14.17/14.83 cnf(9, plain, [-(_37095 = _37146), subclass(_37095, _37146), subclass(_37146, _37095)], clausify(extensionality)).
% 14.17/14.83 cnf(10, plain, [-(member(_37491, unordered_pair(_37556, _37620))), member(_37491, universal_class), _37491 = _37556], clausify(unordered_pair_defn)).
% 14.17/14.83 cnf(11, plain, [member(_41929, complement(_41874)), member(_41929, _41874)], clausify(complement)).
% 14.17/14.83 cnf(12, plain, [-(member(_41929, complement(_41874))), member(_41929, universal_class), -(member(_41929, _41874))], clausify(complement)).
% 14.17/14.83 cnf(13, plain, [member(_42774, null_class)], clausify(null_class_defn)).
% 14.17/14.83 cnf(14, plain, [-(disjoint(_52811, _52869)), -(member(5 ^ [_52869, _52811], _52869))], clausify(disjoint_defn)).
% 14.17/14.83 cnf(15, plain, [disjoint(_52811, _52869), member(_52985, _52811), member(_52985, _52869)], clausify(disjoint_defn)).
% 14.17/14.83
% 14.17/14.83 cnf('1',plain,[member(8 ^ [], complement(complement(universal_class))), member(8 ^ [], complement(universal_class))],start(11,bind([[_41929, _41874], [8 ^ [], complement(universal_class)]]))).
% 14.17/14.83 cnf('1.1',plain,[-(member(8 ^ [], complement(complement(universal_class)))), member(8 ^ [], universal_class), 8 ^ [] = 8 ^ [], universal_class = complement(complement(universal_class))],extension(4,bind([[_24856, _24923, _24989, _25054], [8 ^ [], 8 ^ [], universal_class, complement(complement(universal_class))]]))).
% 14.17/14.83 cnf('1.1.1',plain,[-(member(8 ^ [], universal_class))],extension(1)).
% 14.17/14.83 cnf('1.1.2',plain,[-(8 ^ [] = 8 ^ [])],extension(3,bind([[_22666], [8 ^ []]]))).
% 14.17/14.83 cnf('1.1.3',plain,[-(universal_class = complement(complement(universal_class))), subclass(universal_class, complement(complement(universal_class))), subclass(complement(complement(universal_class)), universal_class)],extension(9,bind([[_37146, _37095], [complement(complement(universal_class)), universal_class]]))).
% 14.17/14.83 cnf('1.1.3.1',plain,[-(subclass(universal_class, complement(complement(universal_class)))), -(member(1 ^ [complement(complement(universal_class)), universal_class], universal_class))],extension(5,bind([[_36516, _36460], [complement(complement(universal_class)), universal_class]]))).
% 14.17/14.83 cnf('1.1.3.1.1',plain,[member(1 ^ [complement(complement(universal_class)), universal_class], universal_class), -(member(1 ^ [complement(complement(universal_class)), universal_class], complement(complement(universal_class)))), -(member(1 ^ [complement(complement(universal_class)), universal_class], complement(universal_class)))],extension(12,bind([[_41929, _41874], [1 ^ [complement(complement(universal_class)), universal_class], complement(universal_class)]]))).
% 14.17/14.83 cnf('1.1.3.1.1.1',plain,[member(1 ^ [complement(complement(universal_class)), universal_class], complement(complement(universal_class))), -(subclass(universal_class, complement(complement(universal_class))))],extension(6,bind([[_36460, _36516], [universal_class, complement(complement(universal_class))]]))).
% 14.17/14.83 cnf('1.1.3.1.1.1.1',plain,[subclass(universal_class, complement(complement(universal_class)))],reduction('1.1.3')).
% 14.17/14.83 cnf('1.1.3.1.1.2',plain,[member(1 ^ [complement(complement(universal_class)), universal_class], complement(universal_class)), member(1 ^ [complement(complement(universal_class)), universal_class], universal_class)],extension(11,bind([[_41929, _41874], [1 ^ [complement(complement(universal_class)), universal_class], universal_class]]))).
% 14.17/14.83 cnf('1.1.3.1.1.2.1',plain,[-(member(1 ^ [complement(complement(universal_class)), universal_class], universal_class))],reduction('1.1.3.1')).
% 14.17/14.83 cnf('1.1.3.2',plain,[-(subclass(complement(complement(universal_class)), universal_class)), -(member(1 ^ [universal_class, complement(complement(universal_class))], complement(complement(universal_class))))],extension(5,bind([[_36516, _36460], [universal_class, complement(complement(universal_class))]]))).
% 14.17/14.83 cnf('1.1.3.2.1',plain,[member(1 ^ [universal_class, complement(complement(universal_class))], complement(complement(universal_class))), subclass(complement(complement(universal_class)), universal_class), -(member(1 ^ [universal_class, complement(complement(universal_class))], universal_class))],extension(7,bind([[_36460, _36630, _36516], [complement(complement(universal_class)), 1 ^ [universal_class, complement(complement(universal_class))], universal_class]]))).
% 14.17/14.83 cnf('1.1.3.2.1.1',plain,[-(subclass(complement(complement(universal_class)), universal_class))],extension(8,bind([[_36921], [complement(complement(universal_class))]]))).
% 14.17/14.83 cnf('1.1.3.2.1.2',plain,[member(1 ^ [universal_class, complement(complement(universal_class))], universal_class), -(subclass(complement(complement(universal_class)), universal_class))],extension(6,bind([[_36460, _36516], [complement(complement(universal_class)), universal_class]]))).
% 14.17/14.83 cnf('1.1.3.2.1.2.1',plain,[subclass(complement(complement(universal_class)), universal_class)],reduction('1.1.3')).
% 14.17/14.83 cnf('1.2',plain,[-(member(8 ^ [], complement(universal_class))), member(8 ^ [], universal_class), -(member(8 ^ [], universal_class))],extension(12,bind([[_41929, _41874], [8 ^ [], universal_class]]))).
% 14.17/14.83 cnf('1.2.1',plain,[-(member(8 ^ [], universal_class))],extension(1)).
% 14.17/14.83 cnf('1.2.2',plain,[member(8 ^ [], universal_class), -(member(8 ^ [], unordered_pair(8 ^ [], 9 ^ []))), 8 ^ [] = 8 ^ []],extension(10,bind([[_37620, _37491, _37556], [9 ^ [], 8 ^ [], 8 ^ []]]))).
% 14.17/14.83 cnf('1.2.2.1',plain,[member(8 ^ [], unordered_pair(8 ^ [], 9 ^ [])), disjoint(unordered_pair(8 ^ [], 9 ^ []), null_class), member(8 ^ [], null_class)],extension(15,bind([[_52811, _52985, _52869], [unordered_pair(8 ^ [], 9 ^ []), 8 ^ [], null_class]]))).
% 14.17/14.83 cnf('1.2.2.1.1',plain,[-(disjoint(unordered_pair(8 ^ [], 9 ^ []), null_class)), -(member(5 ^ [null_class, unordered_pair(8 ^ [], 9 ^ [])], null_class))],extension(14,bind([[_52811, _52869], [unordered_pair(8 ^ [], 9 ^ []), null_class]]))).
% 14.17/14.83 cnf('1.2.2.1.1.1',plain,[member(5 ^ [null_class, unordered_pair(8 ^ [], 9 ^ [])], null_class)],extension(13,bind([[_42774], [5 ^ [null_class, unordered_pair(8 ^ [], 9 ^ [])]]]))).
% 14.17/14.83 cnf('1.2.2.1.2',plain,[-(member(8 ^ [], null_class)), member(8 ^ [], unordered_pair(8 ^ [], 9 ^ [])), 8 ^ [] = 8 ^ [], unordered_pair(8 ^ [], 9 ^ []) = null_class],extension(4,bind([[_24856, _24923, _24989, _25054], [8 ^ [], 8 ^ [], unordered_pair(8 ^ [], 9 ^ []), null_class]]))).
% 14.17/14.83 cnf('1.2.2.1.2.1',plain,[-(member(8 ^ [], unordered_pair(8 ^ [], 9 ^ [])))],reduction('1.2.2')).
% 14.17/14.83 cnf('1.2.2.1.2.2',plain,[-(8 ^ [] = 8 ^ [])],extension(3,bind([[_22666], [8 ^ []]]))).
% 14.17/14.83 cnf('1.2.2.1.2.3',plain,[-(unordered_pair(8 ^ [], 9 ^ []) = null_class)],extension(2)).
% 14.17/14.83 cnf('1.2.2.2',plain,[-(8 ^ [] = 8 ^ [])],extension(3,bind([[_22666], [8 ^ []]]))).
% 14.17/14.83 %-----------------------------------------------------
% 14.17/14.83
% 14.17/14.83 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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