TSTP Solution File: SET117+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 02:51:36 EDT 2022
% Result : Theorem 29.64s 29.44s
% Output : Proof 29.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n022.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 : Sun Jul 10 05:24:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 29.64/29.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.72/29.45 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.72/29.46
% 29.72/29.46 %-----------------------------------------------------
% 29.72/29.46 fof(corollary_1_to_ordered_pairs_are_sets, conjecture, ! [_75432] : (ordered_pair(first(_75432), second(_75432)) = _75432 => member(_75432, universal_class)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', corollary_1_to_ordered_pairs_are_sets)).
% 29.72/29.46 fof(unordered_pair, axiom, ! [_75688, _75691] : member(unordered_pair(_75688, _75691), universal_class), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair)).
% 29.72/29.46 fof(ordered_pair_defn, axiom, ! [_75823, _75826] : ordered_pair(_75823, _75826) = unordered_pair(singleton(_75823), unordered_pair(_75823, singleton(_75826))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', ordered_pair_defn)).
% 29.72/29.46
% 29.72/29.46 cnf(1, plain, [-(ordered_pair(first(30 ^ []), second(30 ^ [])) = 30 ^ [])], clausify(corollary_1_to_ordered_pairs_are_sets)).
% 29.72/29.46 cnf(2, plain, [member(30 ^ [], universal_class)], clausify(corollary_1_to_ordered_pairs_are_sets)).
% 29.72/29.46 cnf(3, plain, [-(_22640 = _22640)], theory(equality)).
% 29.72/29.46 cnf(4, plain, [_22793 = _22838, -(_22838 = _22793)], theory(equality)).
% 29.72/29.46 cnf(5, plain, [-(_23072 = _23183), _23072 = _23128, _23128 = _23183], theory(equality)).
% 29.72/29.46 cnf(6, plain, [-(member(_24897, _25028)), member(_24830, _24963), _24830 = _24897, _24963 = _25028], theory(equality)).
% 29.72/29.46 cnf(7, plain, [-(member(unordered_pair(_38070, _38112), universal_class))], clausify(unordered_pair)).
% 29.72/29.46 cnf(8, plain, [-(ordered_pair(_38569, _38621) = unordered_pair(singleton(_38569), unordered_pair(_38569, singleton(_38621))))], clausify(ordered_pair_defn)).
% 29.72/29.46
% 29.72/29.46 cnf('1',plain,[-(ordered_pair(first(30 ^ []), second(30 ^ [])) = 30 ^ [])],start(1)).
% 29.72/29.46 cnf('1.1',plain,[ordered_pair(first(30 ^ []), second(30 ^ [])) = 30 ^ [], -(unordered_pair(singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ [])))) = 30 ^ []), unordered_pair(singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ [])))) = ordered_pair(first(30 ^ []), second(30 ^ []))],extension(5,bind([[_23183, _23072, _23128], [30 ^ [], unordered_pair(singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ [])))), ordered_pair(first(30 ^ []), second(30 ^ []))]]))).
% 29.72/29.46 cnf('1.1.1',plain,[unordered_pair(singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ [])))) = 30 ^ [], -(member(30 ^ [], universal_class)), member(unordered_pair(singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ [])))), universal_class), universal_class = universal_class],extension(6,bind([[_24897, _24830, _24963, _25028], [30 ^ [], unordered_pair(singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ [])))), universal_class, universal_class]]))).
% 29.72/29.46 cnf('1.1.1.1',plain,[member(30 ^ [], universal_class)],extension(2)).
% 29.72/29.46 cnf('1.1.1.2',plain,[-(member(unordered_pair(singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ [])))), universal_class))],extension(7,bind([[_38070, _38112], [singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ [])))]]))).
% 29.72/29.46 cnf('1.1.1.3',plain,[-(universal_class = universal_class)],extension(3,bind([[_22640], [universal_class]]))).
% 29.72/29.46 cnf('1.1.2',plain,[-(unordered_pair(singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ [])))) = ordered_pair(first(30 ^ []), second(30 ^ []))), ordered_pair(first(30 ^ []), second(30 ^ [])) = unordered_pair(singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ []))))],extension(4,bind([[_22793, _22838], [ordered_pair(first(30 ^ []), second(30 ^ [])), unordered_pair(singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ []))))]]))).
% 29.72/29.46 cnf('1.1.2.1',plain,[-(ordered_pair(first(30 ^ []), second(30 ^ [])) = unordered_pair(singleton(first(30 ^ [])), unordered_pair(first(30 ^ []), singleton(second(30 ^ [])))))],extension(8,bind([[_38569, _38621], [first(30 ^ []), second(30 ^ [])]]))).
% 29.72/29.46 %-----------------------------------------------------
% 29.72/29.46
% 29.72/29.46 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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