TSTP Solution File: SET074+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET074+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 02:51:00 EDT 2022
% Result : Theorem 15.08s 14.83s
% Output : Proof 15.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET074+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % 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 : Sat Jul 9 20:51:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 15.08/14.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.08/14.84 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.08/14.84
% 15.08/14.84 %-----------------------------------------------------
% 15.08/14.84 fof(corollary1_2, conjecture, ! [_81241, _81244] : (member(_81244, universal_class) => (! unordered_pair(_81241, _81244)) = null_class), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', corollary1_2)).
% 15.08/14.84 fof(subclass_defn, axiom, ! [_81468, _81471] : (subclass(_81468, _81471) <=> ! [_81489] : (member(_81489, _81468) => member(_81489, _81471))), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', subclass_defn)).
% 15.08/14.84 fof(class_elements_are_sets, axiom, ! [_81696] : subclass(_81696, universal_class), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', class_elements_are_sets)).
% 15.08/14.84 fof(extensionality, axiom, ! [_81805, _81808] : (_81805 = _81808 <=> subclass(_81805, _81808) & subclass(_81808, _81805)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', extensionality)).
% 15.08/14.84 fof(unordered_pair_defn, axiom, ! [_81978, _81981, _81984] : (member(_81978, unordered_pair(_81981, _81984)) <=> member(_81978, universal_class) & (_81978 = _81981 | _81978 = _81984)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 15.08/14.84 fof(complement, axiom, ! [_82216, _82219] : (member(_82219, complement(_82216)) <=> member(_82219, universal_class) & ~ member(_82219, _82216)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', complement)).
% 15.08/14.84 fof(null_class_defn, axiom, ! [_82419] : ~ member(_82419, null_class), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', null_class_defn)).
% 15.08/14.84 fof(disjoint_defn, axiom, ! [_82582, _82585] : (disjoint(_82582, _82585) <=> ! [_82603] : ~ (member(_82603, _82582) & member(_82603, _82585))), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', disjoint_defn)).
% 15.08/14.84
% 15.08/14.84 cnf(1, plain, [-(member(9 ^ [], universal_class))], clausify(corollary1_2)).
% 15.08/14.84 cnf(2, plain, [-(unordered_pair(8 ^ [], 9 ^ []) = null_class)], clausify(corollary1_2)).
% 15.08/14.84 cnf(3, plain, [-(_22698 = _22698)], theory(equality)).
% 15.08/14.84 cnf(4, plain, [-(member(_24955, _25086)), member(_24888, _25021), _24888 = _24955, _25021 = _25086], theory(equality)).
% 15.08/14.84 cnf(5, plain, [-(subclass(_36492, _36548)), -(member(1 ^ [_36548, _36492], _36492))], clausify(subclass_defn)).
% 15.08/14.84 cnf(6, plain, [-(subclass(_36492, _36548)), member(1 ^ [_36548, _36492], _36548)], clausify(subclass_defn)).
% 15.08/14.84 cnf(7, plain, [subclass(_36492, _36548), member(_36662, _36492), -(member(_36662, _36548))], clausify(subclass_defn)).
% 15.08/14.84 cnf(8, plain, [-(subclass(_36953, universal_class))], clausify(class_elements_are_sets)).
% 15.08/14.84 cnf(9, plain, [-(_37127 = _37178), subclass(_37127, _37178), subclass(_37178, _37127)], clausify(extensionality)).
% 15.08/14.84 cnf(10, plain, [-(member(_37523, unordered_pair(_37588, _37652))), member(_37523, universal_class), _37523 = _37652], clausify(unordered_pair_defn)).
% 15.08/14.84 cnf(11, plain, [member(_41961, complement(_41906)), member(_41961, _41906)], clausify(complement)).
% 15.08/14.84 cnf(12, plain, [-(member(_41961, complement(_41906))), member(_41961, universal_class), -(member(_41961, _41906))], clausify(complement)).
% 15.08/14.84 cnf(13, plain, [member(_42806, null_class)], clausify(null_class_defn)).
% 15.08/14.84 cnf(14, plain, [-(disjoint(_52843, _52901)), -(member(5 ^ [_52901, _52843], _52901))], clausify(disjoint_defn)).
% 15.08/14.84 cnf(15, plain, [disjoint(_52843, _52901), member(_53017, _52843), member(_53017, _52901)], clausify(disjoint_defn)).
% 15.08/14.84
% 15.08/14.84 cnf('1',plain,[member(9 ^ [], complement(complement(universal_class))), member(9 ^ [], complement(universal_class))],start(11,bind([[_41961, _41906], [9 ^ [], complement(universal_class)]]))).
% 15.08/14.84 cnf('1.1',plain,[-(member(9 ^ [], complement(complement(universal_class)))), member(9 ^ [], universal_class), 9 ^ [] = 9 ^ [], universal_class = complement(complement(universal_class))],extension(4,bind([[_24888, _24955, _25021, _25086], [9 ^ [], 9 ^ [], universal_class, complement(complement(universal_class))]]))).
% 15.08/14.84 cnf('1.1.1',plain,[-(member(9 ^ [], universal_class))],extension(1)).
% 15.08/14.84 cnf('1.1.2',plain,[-(9 ^ [] = 9 ^ [])],extension(3,bind([[_22698], [9 ^ []]]))).
% 15.08/14.84 cnf('1.1.3',plain,[-(universal_class = complement(complement(universal_class))), subclass(universal_class, complement(complement(universal_class))), subclass(complement(complement(universal_class)), universal_class)],extension(9,bind([[_37178, _37127], [complement(complement(universal_class)), universal_class]]))).
% 15.08/14.84 cnf('1.1.3.1',plain,[-(subclass(universal_class, complement(complement(universal_class)))), -(member(1 ^ [complement(complement(universal_class)), universal_class], universal_class))],extension(5,bind([[_36548, _36492], [complement(complement(universal_class)), universal_class]]))).
% 15.08/14.84 cnf('1.1.3.1.1',plain,[member(1 ^ [complement(complement(universal_class)), universal_class], universal_class), -(member(1 ^ [complement(complement(universal_class)), universal_class], complement(complement(universal_class)))), -(member(1 ^ [complement(complement(universal_class)), universal_class], complement(universal_class)))],extension(12,bind([[_41961, _41906], [1 ^ [complement(complement(universal_class)), universal_class], complement(universal_class)]]))).
% 15.08/14.84 cnf('1.1.3.1.1.1',plain,[member(1 ^ [complement(complement(universal_class)), universal_class], complement(complement(universal_class))), -(subclass(universal_class, complement(complement(universal_class))))],extension(6,bind([[_36492, _36548], [universal_class, complement(complement(universal_class))]]))).
% 15.08/14.84 cnf('1.1.3.1.1.1.1',plain,[subclass(universal_class, complement(complement(universal_class)))],reduction('1.1.3')).
% 15.08/14.84 cnf('1.1.3.1.1.2',plain,[member(1 ^ [complement(complement(universal_class)), universal_class], complement(universal_class)), member(1 ^ [complement(complement(universal_class)), universal_class], universal_class)],extension(11,bind([[_41961, _41906], [1 ^ [complement(complement(universal_class)), universal_class], universal_class]]))).
% 15.08/14.84 cnf('1.1.3.1.1.2.1',plain,[-(member(1 ^ [complement(complement(universal_class)), universal_class], universal_class))],reduction('1.1.3.1')).
% 15.08/14.84 cnf('1.1.3.2',plain,[-(subclass(complement(complement(universal_class)), universal_class)), -(member(1 ^ [universal_class, complement(complement(universal_class))], complement(complement(universal_class))))],extension(5,bind([[_36548, _36492], [universal_class, complement(complement(universal_class))]]))).
% 15.08/14.84 cnf('1.1.3.2.1',plain,[member(1 ^ [universal_class, complement(complement(universal_class))], complement(complement(universal_class))), subclass(complement(complement(universal_class)), universal_class), -(member(1 ^ [universal_class, complement(complement(universal_class))], universal_class))],extension(7,bind([[_36492, _36662, _36548], [complement(complement(universal_class)), 1 ^ [universal_class, complement(complement(universal_class))], universal_class]]))).
% 15.08/14.84 cnf('1.1.3.2.1.1',plain,[-(subclass(complement(complement(universal_class)), universal_class))],extension(8,bind([[_36953], [complement(complement(universal_class))]]))).
% 15.08/14.84 cnf('1.1.3.2.1.2',plain,[member(1 ^ [universal_class, complement(complement(universal_class))], universal_class), -(subclass(complement(complement(universal_class)), universal_class))],extension(6,bind([[_36492, _36548], [complement(complement(universal_class)), universal_class]]))).
% 15.08/14.84 cnf('1.1.3.2.1.2.1',plain,[subclass(complement(complement(universal_class)), universal_class)],reduction('1.1.3')).
% 15.08/14.84 cnf('1.2',plain,[-(member(9 ^ [], complement(universal_class))), member(9 ^ [], universal_class), -(member(9 ^ [], universal_class))],extension(12,bind([[_41961, _41906], [9 ^ [], universal_class]]))).
% 15.08/14.84 cnf('1.2.1',plain,[-(member(9 ^ [], universal_class))],extension(1)).
% 15.08/14.84 cnf('1.2.2',plain,[member(9 ^ [], universal_class), -(member(9 ^ [], unordered_pair(8 ^ [], 9 ^ []))), 9 ^ [] = 9 ^ []],extension(10,bind([[_37588, _37523, _37652], [8 ^ [], 9 ^ [], 9 ^ []]]))).
% 15.08/14.84 cnf('1.2.2.1',plain,[member(9 ^ [], unordered_pair(8 ^ [], 9 ^ [])), disjoint(unordered_pair(8 ^ [], 9 ^ []), null_class), member(9 ^ [], null_class)],extension(15,bind([[_52843, _53017, _52901], [unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], null_class]]))).
% 15.08/14.84 cnf('1.2.2.1.1',plain,[-(disjoint(unordered_pair(8 ^ [], 9 ^ []), null_class)), -(member(5 ^ [null_class, unordered_pair(8 ^ [], 9 ^ [])], null_class))],extension(14,bind([[_52843, _52901], [unordered_pair(8 ^ [], 9 ^ []), null_class]]))).
% 15.08/14.84 cnf('1.2.2.1.1.1',plain,[member(5 ^ [null_class, unordered_pair(8 ^ [], 9 ^ [])], null_class)],extension(13,bind([[_42806], [5 ^ [null_class, unordered_pair(8 ^ [], 9 ^ [])]]]))).
% 15.08/14.84 cnf('1.2.2.1.2',plain,[-(member(9 ^ [], null_class)), member(9 ^ [], unordered_pair(8 ^ [], 9 ^ [])), 9 ^ [] = 9 ^ [], unordered_pair(8 ^ [], 9 ^ []) = null_class],extension(4,bind([[_24888, _24955, _25021, _25086], [9 ^ [], 9 ^ [], unordered_pair(8 ^ [], 9 ^ []), null_class]]))).
% 15.08/14.84 cnf('1.2.2.1.2.1',plain,[-(member(9 ^ [], unordered_pair(8 ^ [], 9 ^ [])))],reduction('1.2.2')).
% 15.08/14.84 cnf('1.2.2.1.2.2',plain,[-(9 ^ [] = 9 ^ [])],extension(3,bind([[_22698], [9 ^ []]]))).
% 15.08/14.84 cnf('1.2.2.1.2.3',plain,[-(unordered_pair(8 ^ [], 9 ^ []) = null_class)],extension(2)).
% 15.08/14.84 cnf('1.2.2.2',plain,[-(9 ^ [] = 9 ^ [])],extension(3,bind([[_22698], [9 ^ []]]))).
% 15.08/14.84 %-----------------------------------------------------
% 15.08/14.85
% 15.18/14.85 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------