TSTP Solution File: SET094+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET094+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 02:51:18 EDT 2022
% Result : Theorem 115.59s 112.07s
% Output : Proof 115.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET094+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jul 11 05:19:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 115.59/112.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 115.59/112.07 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 115.59/112.08
% 115.59/112.08 %-----------------------------------------------------
% 115.59/112.08 fof(property_of_singletons1_1, conjecture, ! [_79589, _79592] : (singleton(member_of(_79589)) = _79589 & member(_79592, _79589) => member_of(_79589) = _79592), file('/export/starexec/sandbox/benchmark/theBenchmark.p', property_of_singletons1_1)).
% 115.59/112.08 fof(unordered_pair_defn, axiom, ! [_79890, _79893, _79896] : (member(_79890, unordered_pair(_79893, _79896)) <=> member(_79890, universal_class) & (_79890 = _79893 | _79890 = _79896)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 115.59/112.08 fof(singleton_set_defn, axiom, ! [_80114] : singleton(_80114) = unordered_pair(_80114, _80114), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', singleton_set_defn)).
% 115.59/112.08
% 115.59/112.08 cnf(1, plain, [-(singleton(member_of(8 ^ [])) = 8 ^ [])], clausify(property_of_singletons1_1)).
% 115.59/112.08 cnf(2, plain, [-(member(9 ^ [], 8 ^ []))], clausify(property_of_singletons1_1)).
% 115.59/112.08 cnf(3, plain, [member_of(8 ^ []) = 9 ^ []], clausify(property_of_singletons1_1)).
% 115.59/112.08 cnf(4, plain, [-(_24099 = _24099)], theory(equality)).
% 115.59/112.08 cnf(5, plain, [_24252 = _24297, -(_24297 = _24252)], theory(equality)).
% 115.59/112.08 cnf(6, plain, [-(_24531 = _24642), _24531 = _24587, _24587 = _24642], theory(equality)).
% 115.59/112.08 cnf(7, plain, [-(member(_26356, _26487)), member(_26289, _26422), _26289 = _26356, _26422 = _26487], theory(equality)).
% 115.59/112.08 cnf(8, plain, [member(_39278, unordered_pair(_39343, _39407)), -(_39278 = _39343), -(_39278 = _39407)], clausify(unordered_pair_defn)).
% 115.59/112.08 cnf(9, plain, [-(singleton(_40150) = unordered_pair(_40150, _40150))], clausify(singleton_set_defn)).
% 115.59/112.08
% 115.59/112.08 cnf('1',plain,[member_of(8 ^ []) = 9 ^ []],start(3)).
% 115.59/112.08 cnf('1.1',plain,[-(member_of(8 ^ []) = 9 ^ []), 9 ^ [] = member_of(8 ^ [])],extension(5,bind([[_24252, _24297], [9 ^ [], member_of(8 ^ [])]]))).
% 115.59/112.08 cnf('1.1.1',plain,[-(9 ^ [] = member_of(8 ^ [])), member(9 ^ [], unordered_pair(member_of(8 ^ []), member_of(8 ^ []))), -(9 ^ [] = member_of(8 ^ []))],extension(8,bind([[_39343, _39278, _39407], [member_of(8 ^ []), 9 ^ [], member_of(8 ^ [])]]))).
% 115.59/112.08 cnf('1.1.1.1',plain,[-(member(9 ^ [], unordered_pair(member_of(8 ^ []), member_of(8 ^ [])))), member(9 ^ [], 8 ^ []), 9 ^ [] = 9 ^ [], 8 ^ [] = unordered_pair(member_of(8 ^ []), member_of(8 ^ []))],extension(7,bind([[_26289, _26356, _26422, _26487], [9 ^ [], 9 ^ [], 8 ^ [], unordered_pair(member_of(8 ^ []), member_of(8 ^ []))]]))).
% 115.59/112.08 cnf('1.1.1.1.1',plain,[-(member(9 ^ [], 8 ^ []))],extension(2)).
% 115.59/112.08 cnf('1.1.1.1.2',plain,[-(9 ^ [] = 9 ^ [])],extension(4,bind([[_24099], [9 ^ []]]))).
% 115.59/112.08 cnf('1.1.1.1.3',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(6,bind([[_24531, _24587, _24642], [8 ^ [], singleton(member_of(8 ^ [])), unordered_pair(member_of(8 ^ []), member_of(8 ^ []))]]))).
% 115.59/112.08 cnf('1.1.1.1.3.1',plain,[-(8 ^ [] = singleton(member_of(8 ^ []))), singleton(member_of(8 ^ [])) = 8 ^ []],extension(5,bind([[_24252, _24297], [singleton(member_of(8 ^ [])), 8 ^ []]]))).
% 115.59/112.08 cnf('1.1.1.1.3.1.1',plain,[-(singleton(member_of(8 ^ [])) = 8 ^ [])],extension(1)).
% 115.59/112.08 cnf('1.1.1.1.3.2',plain,[-(singleton(member_of(8 ^ [])) = unordered_pair(member_of(8 ^ []), member_of(8 ^ [])))],extension(9,bind([[_40150], [member_of(8 ^ [])]]))).
% 115.59/112.08 cnf('1.1.1.2',plain,[9 ^ [] = member_of(8 ^ [])],reduction('1.1')).
% 115.59/112.08 %-----------------------------------------------------
% 115.59/112.08
% 115.59/112.08 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------