TSTP Solution File: SET025+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET025+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 02:50:12 EDT 2022
% Result : Theorem 0.34s 1.40s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET025+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n012.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 : Mon Jul 11 09:19:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.34/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42 fof(ordered_pair_is_set, conjecture, ! [_75107, _75110] : member(ordered_pair(_75107, _75110), universal_class), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ordered_pair_is_set)).
% 0.34/1.42 fof(unordered_pair, axiom, ! [_75314, _75317] : member(unordered_pair(_75314, _75317), universal_class), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair)).
% 0.34/1.42 fof(ordered_pair_defn, axiom, ! [_75449, _75452] : ordered_pair(_75449, _75452) = unordered_pair(singleton(_75449), unordered_pair(_75449, singleton(_75452))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', ordered_pair_defn)).
% 0.34/1.42
% 0.34/1.42 cnf(1, plain, [member(ordered_pair(8 ^ [], 9 ^ []), universal_class)], clausify(ordered_pair_is_set)).
% 0.34/1.42 cnf(2, plain, [-(_22520 = _22520)], theory(equality)).
% 0.34/1.42 cnf(3, plain, [_22673 = _22718, -(_22718 = _22673)], theory(equality)).
% 0.34/1.42 cnf(4, plain, [-(member(_24777, _24908)), member(_24710, _24843), _24710 = _24777, _24843 = _24908], theory(equality)).
% 0.34/1.42 cnf(5, plain, [-(member(unordered_pair(_37950, _37992), universal_class))], clausify(unordered_pair)).
% 0.34/1.42 cnf(6, plain, [-(ordered_pair(_38449, _38501) = unordered_pair(singleton(_38449), unordered_pair(_38449, singleton(_38501))))], clausify(ordered_pair_defn)).
% 0.34/1.42
% 0.34/1.42 cnf('1',plain,[member(ordered_pair(8 ^ [], 9 ^ []), universal_class)],start(1)).
% 0.34/1.42 cnf('1.1',plain,[-(member(ordered_pair(8 ^ [], 9 ^ []), universal_class)), member(unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))), universal_class), unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))) = ordered_pair(8 ^ [], 9 ^ []), universal_class = universal_class],extension(4,bind([[_24710, _24777, _24843, _24908], [unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))), ordered_pair(8 ^ [], 9 ^ []), universal_class, universal_class]]))).
% 0.34/1.42 cnf('1.1.1',plain,[-(member(unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))), universal_class)), member(unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))), universal_class), unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))) = unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))), universal_class = universal_class],extension(4,bind([[_24710, _24777, _24843, _24908], [unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))), unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))), universal_class, universal_class]]))).
% 0.34/1.42 cnf('1.1.1.1',plain,[-(member(unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))), universal_class))],extension(5,bind([[_37950, _37992], [singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))]]))).
% 0.34/1.42 cnf('1.1.1.2',plain,[-(unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))) = unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))))],extension(2,bind([[_22520], [unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ [])))]]))).
% 0.34/1.42 cnf('1.1.1.3',plain,[-(universal_class = universal_class)],extension(2,bind([[_22520], [universal_class]]))).
% 0.34/1.42 cnf('1.1.2',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([[_22673, _22718], [ordered_pair(8 ^ [], 9 ^ []), unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ [])))]]))).
% 0.34/1.42 cnf('1.1.2.1',plain,[-(ordered_pair(8 ^ [], 9 ^ []) = unordered_pair(singleton(8 ^ []), unordered_pair(8 ^ [], singleton(9 ^ []))))],extension(6,bind([[_38449, _38501], [8 ^ [], 9 ^ []]]))).
% 0.34/1.42 cnf('1.1.3',plain,[-(universal_class = universal_class)],extension(2,bind([[_22520], [universal_class]]))).
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42
% 0.34/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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