TSTP Solution File: SET102+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET102+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 02:51:26 EDT 2022
% Result : Theorem 16.12s 15.93s
% Output : Proof 16.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET102+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 19:39:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 16.12/15.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.19/15.94 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.19/15.94
% 16.19/15.94 %-----------------------------------------------------
% 16.19/15.94 fof(unordered_pair_member_of_ordered_pair, conjecture, ! [_78645, _78648] : member(unordered_pair(_78645, singleton(_78648)), ordered_pair(_78645, _78648)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', unordered_pair_member_of_ordered_pair)).
% 16.19/15.94 fof(subclass_defn, axiom, ! [_78868, _78871] : (subclass(_78868, _78871) <=> ! [_78889] : (member(_78889, _78868) => member(_78889, _78871))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', subclass_defn)).
% 16.19/15.94 fof(class_elements_are_sets, axiom, ! [_79072] : subclass(_79072, universal_class), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', class_elements_are_sets)).
% 16.19/15.94 fof(unordered_pair_defn, axiom, ! [_79185, _79188, _79191] : (member(_79185, unordered_pair(_79188, _79191)) <=> member(_79185, universal_class) & (_79185 = _79188 | _79185 = _79191)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 16.19/15.94 fof(unordered_pair, axiom, ! [_79406, _79409] : member(unordered_pair(_79406, _79409), universal_class), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair)).
% 16.19/15.94 fof(ordered_pair_defn, axiom, ! [_79541, _79544] : ordered_pair(_79541, _79544) = unordered_pair(singleton(_79541), unordered_pair(_79541, singleton(_79544))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', ordered_pair_defn)).
% 16.19/15.94 fof(intersection, axiom, ! [_79731, _79734, _79737] : (member(_79737, intersection(_79731, _79734)) <=> member(_79737, _79731) & member(_79737, _79734)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', intersection)).
% 16.19/15.94 fof(complement, axiom, ! [_79936, _79939] : (member(_79939, complement(_79936)) <=> member(_79939, universal_class) & ~ member(_79939, _79936)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', complement)).
% 16.19/15.94 fof(union_defn, axiom, ! [_80140, _80143, _80146] : (member(_80146, union(_80140, _80143)) <=> member(_80146, _80140) | member(_80146, _80143)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', union_defn)).
% 16.19/15.94
% 16.19/15.94 cnf(1, plain, [member(unordered_pair(8 ^ [], singleton(9 ^ [])), ordered_pair(8 ^ [], 9 ^ []))], clausify(unordered_pair_member_of_ordered_pair)).
% 16.19/15.94 cnf(2, plain, [-(_22629 = _22629)], theory(equality)).
% 16.19/15.94 cnf(3, plain, [_22782 = _22827, -(_22827 = _22782)], theory(equality)).
% 16.19/15.94 cnf(4, plain, [-(member(_24886, _25017)), member(_24819, _24952), _24819 = _24886, _24952 = _25017], theory(equality)).
% 16.19/15.94 cnf(5, plain, [subclass(_36423, _36479), member(_36593, _36423), -(member(_36593, _36479))], clausify(subclass_defn)).
% 16.19/15.94 cnf(6, plain, [-(subclass(_36884, universal_class))], clausify(class_elements_are_sets)).
% 16.19/15.94 cnf(7, plain, [-(member(_37454, unordered_pair(_37519, _37583))), member(_37454, universal_class), _37454 = _37583], clausify(unordered_pair_defn)).
% 16.19/15.94 cnf(8, plain, [-(member(unordered_pair(_38059, _38101), universal_class))], clausify(unordered_pair)).
% 16.19/15.94 cnf(9, plain, [-(ordered_pair(_38558, _38610) = unordered_pair(singleton(_38558), unordered_pair(_38558, singleton(_38610))))], clausify(ordered_pair_defn)).
% 16.19/15.94 cnf(10, plain, [member(_41441, intersection(_41324, _41383)), -(member(_41441, _41324))], clausify(intersection)).
% 16.19/15.94 cnf(11, plain, [-(member(_41892, complement(_41837))), member(_41892, universal_class), -(member(_41892, _41837))], clausify(complement)).
% 16.19/15.94 cnf(12, plain, [-(member(_45997, union(_45880, _45939))), member(_45997, _45939)], clausify(union_defn)).
% 16.19/15.94 cnf(13, plain, [member(_45997, union(_45880, _45939)), -(member(_45997, _45880)), -(member(_45997, _45939))], clausify(union_defn)).
% 16.19/15.94
% 16.19/15.94 cnf('1',plain,[member(unordered_pair(8 ^ [], singleton(9 ^ [])), ordered_pair(8 ^ [], 9 ^ []))],start(1)).
% 16.19/15.94 cnf('1.1',plain,[-(member(unordered_pair(8 ^ [], singleton(9 ^ [])), ordered_pair(8 ^ [], 9 ^ []))), member(unordered_pair(8 ^ [], singleton(9 ^ [])), union(ordered_pair(8 ^ [], 9 ^ []), universal_class)), -(member(unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class))],extension(13,bind([[_45880, _45997, _45939], [ordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class]]))).
% 16.19/15.94 cnf('1.1.1',plain,[-(member(unordered_pair(8 ^ [], singleton(9 ^ [])), union(ordered_pair(8 ^ [], 9 ^ []), universal_class))), member(unordered_pair(8 ^ [], singleton(9 ^ [])), intersection(union(ordered_pair(8 ^ [], 9 ^ []), universal_class), _72319))],extension(10,bind([[_41441, _41324, _41383], [unordered_pair(8 ^ [], singleton(9 ^ [])), union(ordered_pair(8 ^ [], 9 ^ []), universal_class), _72319]]))).
% 16.19/15.94 cnf('1.1.1.1',plain,[-(member(unordered_pair(8 ^ [], singleton(9 ^ [])), intersection(union(ordered_pair(8 ^ [], 9 ^ []), universal_class), _72319))), -(member(unordered_pair(8 ^ [], singleton(9 ^ [])), complement(intersection(union(ordered_pair(8 ^ [], 9 ^ []), universal_class), _72319)))), member(unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class)],extension(11,bind([[_41837, _41892], [intersection(union(ordered_pair(8 ^ [], 9 ^ []), universal_class), _72319), unordered_pair(8 ^ [], singleton(9 ^ []))]]))).
% 16.19/15.94 cnf('1.1.1.1.1',plain,[member(unordered_pair(8 ^ [], singleton(9 ^ [])), complement(intersection(union(ordered_pair(8 ^ [], 9 ^ []), universal_class), _72319))), subclass(complement(intersection(union(ordered_pair(8 ^ [], 9 ^ []), universal_class), _72319)), universal_class), -(member(unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class))],extension(5,bind([[_36423, _36593, _36479], [complement(intersection(union(ordered_pair(8 ^ [], 9 ^ []), universal_class), _72319)), unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class]]))).
% 16.19/15.94 cnf('1.1.1.1.1.1',plain,[-(subclass(complement(intersection(union(ordered_pair(8 ^ [], 9 ^ []), universal_class), _72319)), universal_class))],extension(6,bind([[_36884], [complement(intersection(union(ordered_pair(8 ^ [], 9 ^ []), universal_class), _72319))]]))).
% 16.19/15.94 cnf('1.1.1.1.1.2',plain,[member(unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class), -(member(unordered_pair(8 ^ [], singleton(9 ^ [])), union(ordered_pair(8 ^ [], 9 ^ []), universal_class)))],extension(12,bind([[_45997, _45880, _45939], [unordered_pair(8 ^ [], singleton(9 ^ [])), ordered_pair(8 ^ [], 9 ^ []), universal_class]]))).
% 16.19/15.94 cnf('1.1.1.1.1.2.1',plain,[member(unordered_pair(8 ^ [], singleton(9 ^ [])), union(ordered_pair(8 ^ [], 9 ^ []), universal_class))],reduction('1.1')).
% 16.19/15.94 cnf('1.1.1.1.2',plain,[-(member(unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class)), member(unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class), unordered_pair(8 ^ [], singleton(9 ^ [])) = unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class = universal_class],extension(4,bind([[_24819, _24886, _24952, _25017], [unordered_pair(8 ^ [], singleton(9 ^ [])), unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class, universal_class]]))).
% 16.19/15.94 cnf('1.1.1.1.2.1',plain,[-(member(unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class))],extension(8,bind([[_38059, _38101], [8 ^ [], singleton(9 ^ [])]]))).
% 16.19/15.94 cnf('1.1.1.1.2.2',plain,[-(unordered_pair(8 ^ [], singleton(9 ^ [])) = unordered_pair(8 ^ [], singleton(9 ^ [])))],extension(2,bind([[_22629], [unordered_pair(8 ^ [], singleton(9 ^ []))]]))).
% 16.19/15.94 cnf('1.1.1.1.2.3',plain,[-(universal_class = universal_class)],extension(2,bind([[_22629], [universal_class]]))).
% 16.19/15.94 cnf('1.1.2',plain,[member(unordered_pair(8 ^ [], singleton(9 ^ [])), universal_class), -(member(unordered_pair(8 ^ [], singleton(9 ^ [])), unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))))), unordered_pair(8 ^ [], singleton(9 ^ [])) = unordered_pair(8 ^ [], singleton(9 ^ []))],extension(7,bind([[_37519, _37454, _37583], [singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ [])), unordered_pair(8 ^ [], singleton(9 ^ []))]]))).
% 16.19/15.94 cnf('1.1.2.1',plain,[member(unordered_pair(8 ^ [], singleton(9 ^ [])), unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ [])))), -(member(unordered_pair(8 ^ [], singleton(9 ^ [])), ordered_pair(8 ^ [], 9 ^ []))), unordered_pair(8 ^ [], singleton(9 ^ [])) = unordered_pair(8 ^ [], singleton(9 ^ [])), unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))) = ordered_pair(8 ^ [], 9 ^ [])],extension(4,bind([[_24819, _24886, _24952, _25017], [unordered_pair(8 ^ [], singleton(9 ^ [])), unordered_pair(8 ^ [], singleton(9 ^ [])), unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))), ordered_pair(8 ^ [], 9 ^ [])]]))).
% 16.19/15.94 cnf('1.1.2.1.1',plain,[member(unordered_pair(8 ^ [], singleton(9 ^ [])), ordered_pair(8 ^ [], 9 ^ []))],extension(1)).
% 16.19/15.94 cnf('1.1.2.1.2',plain,[-(unordered_pair(8 ^ [], singleton(9 ^ [])) = unordered_pair(8 ^ [], singleton(9 ^ [])))],extension(2,bind([[_22629], [unordered_pair(8 ^ [], singleton(9 ^ []))]]))).
% 16.19/15.94 cnf('1.1.2.1.3',plain,[-(unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))) = ordered_pair(8 ^ [], 9 ^ [])), ordered_pair(8 ^ [], 9 ^ []) = unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ [])))],extension(3,bind([[_22782, _22827], [ordered_pair(8 ^ [], 9 ^ []), unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ [])))]]))).
% 16.19/15.94 cnf('1.1.2.1.3.1',plain,[-(ordered_pair(8 ^ [], 9 ^ []) = unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))))],extension(9,bind([[_38558, _38610], [8 ^ [], 9 ^ []]]))).
% 16.19/15.94 cnf('1.1.2.2',plain,[-(unordered_pair(8 ^ [], singleton(9 ^ [])) = unordered_pair(8 ^ [], singleton(9 ^ [])))],extension(2,bind([[_22629], [unordered_pair(8 ^ [], singleton(9 ^ []))]]))).
% 16.19/15.94 %-----------------------------------------------------
% 16.19/15.95
% 16.19/15.95 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------