TSTP Solution File: SET093+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET093+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 02:51:17 EDT 2022
% Result : Theorem 118.34s 113.71s
% Output : Proof 118.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET093+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jul 10 01:29:42 EDT 2022
% 0.15/0.35 % CPUTime :
% 118.34/113.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 118.34/113.71 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 118.34/113.72
% 118.34/113.72 %-----------------------------------------------------
% 118.34/113.72 fof(corollary_2_to_singletons_are_sets, conjecture, ! [_80648] : (singleton(member_of(_80648)) = _80648 => member(_80648, universal_class)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', corollary_2_to_singletons_are_sets)).
% 118.34/113.72 fof(unordered_pair, axiom, ! [_80897, _80900] : member(unordered_pair(_80897, _80900), universal_class), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', unordered_pair)).
% 118.34/113.72 fof(singleton_set_defn, axiom, ! [_81031] : singleton(_81031) = unordered_pair(_81031, _81031), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', singleton_set_defn)).
% 118.34/113.72
% 118.34/113.72 cnf(1, plain, [-(singleton(member_of(8 ^ [])) = 8 ^ [])], clausify(corollary_2_to_singletons_are_sets)).
% 118.34/113.72 cnf(2, plain, [member(8 ^ [], universal_class)], clausify(corollary_2_to_singletons_are_sets)).
% 118.34/113.72 cnf(3, plain, [-(_24005 = _24005)], theory(equality)).
% 118.34/113.72 cnf(4, plain, [_24158 = _24203, -(_24203 = _24158)], theory(equality)).
% 118.34/113.72 cnf(5, plain, [-(_24437 = _24548), _24437 = _24493, _24493 = _24548], theory(equality)).
% 118.34/113.72 cnf(6, plain, [-(member(_26262, _26393)), member(_26195, _26328), _26195 = _26262, _26328 = _26393], theory(equality)).
% 118.34/113.72 cnf(7, plain, [-(member(unordered_pair(_39789, _39831), universal_class))], clausify(unordered_pair)).
% 118.34/113.72 cnf(8, plain, [-(singleton(_40056) = unordered_pair(_40056, _40056))], clausify(singleton_set_defn)).
% 118.34/113.72
% 118.34/113.72 cnf('1',plain,[member(8 ^ [], universal_class)],start(2)).
% 118.34/113.72 cnf('1.1',plain,[-(member(8 ^ [], universal_class)), member(unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), universal_class), unordered_pair(member_of(8 ^ []), member_of(8 ^ [])) = 8 ^ [], universal_class = universal_class],extension(6,bind([[_26195, _26262, _26328, _26393], [unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), 8 ^ [], universal_class, universal_class]]))).
% 118.34/113.72 cnf('1.1.1',plain,[-(member(unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), universal_class)), member(unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), universal_class), unordered_pair(member_of(8 ^ []), member_of(8 ^ [])) = unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), universal_class = universal_class],extension(6,bind([[_26195, _26262, _26328, _26393], [unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), universal_class, universal_class]]))).
% 118.34/113.72 cnf('1.1.1.1',plain,[-(member(unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), universal_class)), member(unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), universal_class), unordered_pair(member_of(8 ^ []), member_of(8 ^ [])) = unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), universal_class = universal_class],extension(6,bind([[_26195, _26262, _26328, _26393], [unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), universal_class, universal_class]]))).
% 118.34/113.72 cnf('1.1.1.1.1',plain,[-(member(unordered_pair(member_of(8 ^ []), member_of(8 ^ [])), universal_class))],extension(7,bind([[_39789, _39831], [member_of(8 ^ []), member_of(8 ^ [])]]))).
% 118.34/113.72 cnf('1.1.1.1.2',plain,[-(unordered_pair(member_of(8 ^ []), member_of(8 ^ [])) = unordered_pair(member_of(8 ^ []), member_of(8 ^ [])))],extension(3,bind([[_24005], [unordered_pair(member_of(8 ^ []), member_of(8 ^ []))]]))).
% 118.34/113.72 cnf('1.1.1.1.3',plain,[-(universal_class = universal_class)],extension(3,bind([[_24005], [universal_class]]))).
% 118.34/113.72 cnf('1.1.1.2',plain,[-(unordered_pair(member_of(8 ^ []), member_of(8 ^ [])) = unordered_pair(member_of(8 ^ []), member_of(8 ^ [])))],extension(3,bind([[_24005], [unordered_pair(member_of(8 ^ []), member_of(8 ^ []))]]))).
% 118.34/113.72 cnf('1.1.1.3',plain,[-(universal_class = universal_class)],extension(3,bind([[_24005], [universal_class]]))).
% 118.34/113.72 cnf('1.1.2',plain,[-(unordered_pair(member_of(8 ^ []), member_of(8 ^ [])) = 8 ^ []), 8 ^ [] = unordered_pair(member_of(8 ^ []), member_of(8 ^ []))],extension(4,bind([[_24158, _24203], [8 ^ [], unordered_pair(member_of(8 ^ []), member_of(8 ^ []))]]))).
% 118.34/113.72 cnf('1.1.2.1',plain,[-(8 ^ [] = unordered_pair(member_of(8 ^ []), member_of(8 ^ []))), 8 ^ [] = singleton(member_of(8 ^ [])), singleton(member_of(8 ^ [])) = unordered_pair(member_of(8 ^ []), member_of(8 ^ []))],extension(5,bind([[_24437, _24493, _24548], [8 ^ [], singleton(member_of(8 ^ [])), unordered_pair(member_of(8 ^ []), member_of(8 ^ []))]]))).
% 118.34/113.72 cnf('1.1.2.1.1',plain,[-(8 ^ [] = singleton(member_of(8 ^ []))), singleton(member_of(8 ^ [])) = 8 ^ []],extension(4,bind([[_24158, _24203], [singleton(member_of(8 ^ [])), 8 ^ []]]))).
% 118.34/113.72 cnf('1.1.2.1.1.1',plain,[-(singleton(member_of(8 ^ [])) = 8 ^ [])],extension(1)).
% 118.34/113.72 cnf('1.1.2.1.2',plain,[-(singleton(member_of(8 ^ [])) = unordered_pair(member_of(8 ^ []), member_of(8 ^ [])))],extension(8,bind([[_40056], [member_of(8 ^ [])]]))).
% 118.34/113.72 cnf('1.1.3',plain,[-(universal_class = universal_class)],extension(3,bind([[_24005], [universal_class]]))).
% 118.34/113.72 %-----------------------------------------------------
% 118.34/113.73
% 118.34/113.73 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------