TSTP Solution File: SET084+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET084+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 02:51:09 EDT 2022
% Result : Theorem 141.00s 136.38s
% Output : Proof 141.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET084+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.14/0.15 % Command : leancop_casc.sh %s %d
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jul 10 03:00:27 EDT 2022
% 0.21/0.36 % CPUTime :
% 141.00/136.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 141.00/136.39 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 141.00/136.39
% 141.00/136.39 %-----------------------------------------------------
% 141.00/136.39 fof(singleton_identified_by_element2, conjecture, ! [_76577, _76580] : (singleton(_76577) = singleton(_76580) & member(_76580, universal_class) => _76577 = _76580), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singleton_identified_by_element2)).
% 141.00/136.39 fof(subclass_defn, axiom, ! [_76847, _76850] : (subclass(_76847, _76850) <=> ! [_76868] : (member(_76868, _76847) => member(_76868, _76850))), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', subclass_defn)).
% 141.00/136.39 fof(extensionality, axiom, ! [_77053, _77056] : (_77053 = _77056 <=> subclass(_77053, _77056) & subclass(_77056, _77053)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', extensionality)).
% 141.00/136.39 fof(unordered_pair_defn, axiom, ! [_77225, _77228, _77231] : (member(_77225, unordered_pair(_77228, _77231)) <=> member(_77225, universal_class) & (_77225 = _77228 | _77225 = _77231)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 141.00/136.39 fof(singleton_set_defn, axiom, ! [_77460] : singleton(_77460) = unordered_pair(_77460, _77460), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', singleton_set_defn)).
% 141.00/136.39
% 141.00/136.39 cnf(1, plain, [-(singleton(8 ^ []) = singleton(9 ^ []))], clausify(singleton_identified_by_element2)).
% 141.00/136.39 cnf(2, plain, [-(member(9 ^ [], universal_class))], clausify(singleton_identified_by_element2)).
% 141.00/136.39 cnf(3, plain, [8 ^ [] = 9 ^ []], clausify(singleton_identified_by_element2)).
% 141.00/136.39 cnf(4, plain, [-(_22718 = _22718)], theory(equality)).
% 141.00/136.39 cnf(5, plain, [_22871 = _22916, -(_22916 = _22871)], theory(equality)).
% 141.00/136.39 cnf(6, plain, [-(subclass(_25589, _25720)), subclass(_25522, _25655), _25522 = _25589, _25655 = _25720], theory(equality)).
% 141.00/136.39 cnf(7, plain, [subclass(_36512, _36568), member(_36682, _36512), -(member(_36682, _36568))], clausify(subclass_defn)).
% 141.00/136.39 cnf(8, plain, [_37147 = _37198, -(subclass(_37198, _37147))], clausify(extensionality)).
% 141.00/136.39 cnf(9, plain, [member(_37543, unordered_pair(_37608, _37672)), -(_37543 = _37608), -(_37543 = _37672)], clausify(unordered_pair_defn)).
% 141.00/136.39 cnf(10, plain, [-(member(_37543, unordered_pair(_37608, _37672))), member(_37543, universal_class), _37543 = _37608], clausify(unordered_pair_defn)).
% 141.00/136.39 cnf(11, plain, [-(singleton(_38415) = unordered_pair(_38415, _38415))], clausify(singleton_set_defn)).
% 141.00/136.39
% 141.00/136.39 cnf('1',plain,[8 ^ [] = 9 ^ []],start(3)).
% 141.00/136.39 cnf('1.1',plain,[-(8 ^ [] = 9 ^ []), 9 ^ [] = 8 ^ []],extension(5,bind([[_22871, _22916], [9 ^ [], 8 ^ []]]))).
% 141.00/136.39 cnf('1.1.1',plain,[-(9 ^ [] = 8 ^ []), member(9 ^ [], unordered_pair(8 ^ [], 8 ^ [])), -(9 ^ [] = 8 ^ [])],extension(9,bind([[_37608, _37543, _37672], [8 ^ [], 9 ^ [], 8 ^ []]]))).
% 141.00/136.39 cnf('1.1.1.1',plain,[-(member(9 ^ [], unordered_pair(8 ^ [], 8 ^ []))), subclass(unordered_pair(9 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])), member(9 ^ [], unordered_pair(9 ^ [], 9 ^ []))],extension(7,bind([[_36568, _36682, _36512], [unordered_pair(8 ^ [], 8 ^ []), 9 ^ [], unordered_pair(9 ^ [], 9 ^ [])]]))).
% 141.00/136.39 cnf('1.1.1.1.1',plain,[-(subclass(unordered_pair(9 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ []))), subclass(singleton(9 ^ []), singleton(8 ^ [])), singleton(9 ^ []) = unordered_pair(9 ^ [], 9 ^ []), singleton(8 ^ []) = unordered_pair(8 ^ [], 8 ^ [])],extension(6,bind([[_25522, _25589, _25655, _25720], [singleton(9 ^ []), unordered_pair(9 ^ [], 9 ^ []), singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])]]))).
% 141.00/136.39 cnf('1.1.1.1.1.1',plain,[-(subclass(singleton(9 ^ []), singleton(8 ^ []))), singleton(8 ^ []) = singleton(9 ^ [])],extension(8,bind([[_37147, _37198], [singleton(8 ^ []), singleton(9 ^ [])]]))).
% 141.00/136.39 cnf('1.1.1.1.1.1.1',plain,[-(singleton(8 ^ []) = singleton(9 ^ []))],extension(1)).
% 141.00/136.39 cnf('1.1.1.1.1.2',plain,[-(singleton(9 ^ []) = unordered_pair(9 ^ [], 9 ^ []))],extension(11,bind([[_38415], [9 ^ []]]))).
% 141.00/136.39 cnf('1.1.1.1.1.3',plain,[-(singleton(8 ^ []) = unordered_pair(8 ^ [], 8 ^ []))],extension(11,bind([[_38415], [8 ^ []]]))).
% 141.00/136.39 cnf('1.1.1.1.2',plain,[-(member(9 ^ [], unordered_pair(9 ^ [], 9 ^ []))), member(9 ^ [], universal_class), 9 ^ [] = 9 ^ []],extension(10,bind([[_37672, _37543, _37608], [9 ^ [], 9 ^ [], 9 ^ []]]))).
% 141.00/136.39 cnf('1.1.1.1.2.1',plain,[-(member(9 ^ [], universal_class))],extension(2)).
% 141.00/136.39 cnf('1.1.1.1.2.2',plain,[-(9 ^ [] = 9 ^ [])],extension(4,bind([[_22718], [9 ^ []]]))).
% 141.00/136.39 cnf('1.1.1.2',plain,[9 ^ [] = 8 ^ []],reduction('1.1')).
% 141.00/136.39 %-----------------------------------------------------
% 141.00/136.40
% 141.00/136.40 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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