TSTP Solution File: SET067+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET067+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 02:50:53 EDT 2022
% Result : Theorem 0.40s 1.42s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET067+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n011.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 10:48:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.40/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.43
% 0.40/1.43 %-----------------------------------------------------
% 0.40/1.43 fof(pair_contains_other, conjecture, ! [_77770, _77773] : subclass(unordered_pair(_77770, _77770), unordered_pair(_77770, _77773)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', pair_contains_other)).
% 0.40/1.43 fof(subclass_defn, axiom, ! [_77949, _77952] : (subclass(_77949, _77952) <=> ! [_77970] : (member(_77970, _77949) => member(_77970, _77952))), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', subclass_defn)).
% 0.40/1.43 fof(class_elements_are_sets, axiom, ! [_78177] : subclass(_78177, universal_class), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', class_elements_are_sets)).
% 0.40/1.43 fof(unordered_pair_defn, axiom, ! [_78287, _78290, _78293] : (member(_78287, unordered_pair(_78290, _78293)) <=> member(_78287, universal_class) & (_78287 = _78290 | _78287 = _78293)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 0.40/1.43 fof(complement, axiom, ! [_78550, _78553] : (member(_78553, complement(_78550)) <=> member(_78553, universal_class) & ~ member(_78553, _78550)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', complement)).
% 0.40/1.43
% 0.40/1.43 cnf(1, plain, [subclass(unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ []))], clausify(pair_contains_other)).
% 0.40/1.43 cnf(2, plain, [-(subclass(_36435, _36491)), -(member(1 ^ [_36491, _36435], _36435))], clausify(subclass_defn)).
% 0.40/1.43 cnf(3, plain, [-(subclass(_36435, _36491)), member(1 ^ [_36491, _36435], _36491)], clausify(subclass_defn)).
% 0.40/1.43 cnf(4, plain, [subclass(_36435, _36491), member(_36605, _36435), -(member(_36605, _36491))], clausify(subclass_defn)).
% 0.40/1.43 cnf(5, plain, [-(subclass(_36896, universal_class))], clausify(class_elements_are_sets)).
% 0.40/1.43 cnf(6, plain, [member(_37466, unordered_pair(_37531, _37595)), -(member(_37466, universal_class))], clausify(unordered_pair_defn)).
% 0.40/1.43 cnf(7, plain, [member(_37466, unordered_pair(_37531, _37595)), -(_37466 = _37531), -(_37466 = _37595)], clausify(unordered_pair_defn)).
% 0.40/1.43 cnf(8, plain, [-(member(_37466, unordered_pair(_37531, _37595))), member(_37466, universal_class), _37466 = _37531], clausify(unordered_pair_defn)).
% 0.40/1.43 cnf(9, plain, [member(_41904, complement(_41849)), member(_41904, _41849)], clausify(complement)).
% 0.40/1.43 cnf(10, plain, [-(member(_41904, complement(_41849))), member(_41904, universal_class), -(member(_41904, _41849))], clausify(complement)).
% 0.40/1.43
% 0.40/1.43 cnf('1',plain,[member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], complement(unordered_pair(8 ^ [], 9 ^ []))), member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 9 ^ []))],start(9,bind([[_41904, _41849], [1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 9 ^ [])]]))).
% 0.40/1.43 cnf('1.1',plain,[-(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], complement(unordered_pair(8 ^ [], 9 ^ [])))), member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], universal_class), -(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 9 ^ [])))],extension(10,bind([[_41904, _41849], [1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 9 ^ [])]]))).
% 0.40/1.43 cnf('1.1.1',plain,[-(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], universal_class)), member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 8 ^ []))],extension(6,bind([[_37466, _37531, _37595], [1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], 8 ^ [], 8 ^ []]]))).
% 0.40/1.43 cnf('1.1.1.1',plain,[-(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 8 ^ []))), -(subclass(unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])))],extension(2,bind([[_36435, _36491], [unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])]]))).
% 0.40/1.43 cnf('1.1.1.1.1',plain,[subclass(unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ []))],extension(1)).
% 0.40/1.43 cnf('1.1.2',plain,[member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 9 ^ [])), -(subclass(unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])))],extension(3,bind([[_36435, _36491], [unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])]]))).
% 0.40/1.43 cnf('1.1.2.1',plain,[subclass(unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ []))],extension(1)).
% 0.40/1.43 cnf('1.2',plain,[-(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 9 ^ []))), member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], universal_class), 1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])] = 8 ^ []],extension(8,bind([[_37595, _37466, _37531], [9 ^ [], 1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], 8 ^ []]]))).
% 0.40/1.43 cnf('1.2.1',plain,[-(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], universal_class)), subclass(unordered_pair(8 ^ [], 8 ^ []), universal_class), member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 8 ^ []))],extension(4,bind([[_36491, _36605, _36435], [universal_class, 1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 8 ^ [])]]))).
% 0.40/1.43 cnf('1.2.1.1',plain,[-(subclass(unordered_pair(8 ^ [], 8 ^ []), universal_class))],extension(5,bind([[_36896], [unordered_pair(8 ^ [], 8 ^ [])]]))).
% 0.40/1.43 cnf('1.2.1.2',plain,[-(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 8 ^ []))), -(subclass(unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])))],extension(2,bind([[_36435, _36491], [unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])]]))).
% 0.40/1.43 cnf('1.2.1.2.1',plain,[subclass(unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ []))],extension(1)).
% 0.40/1.43 cnf('1.2.2',plain,[-(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])] = 8 ^ []), member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 8 ^ [])), -(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])] = 8 ^ [])],extension(7,bind([[_37531, _37466, _37595], [8 ^ [], 1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], 8 ^ []]]))).
% 0.40/1.43 cnf('1.2.2.1',plain,[-(member(1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])], unordered_pair(8 ^ [], 8 ^ []))), -(subclass(unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])))],extension(2,bind([[_36435, _36491], [unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ [])]]))).
% 0.40/1.43 cnf('1.2.2.1.1',plain,[subclass(unordered_pair(8 ^ [], 8 ^ []), unordered_pair(8 ^ [], 9 ^ []))],extension(1)).
% 0.40/1.43 cnf('1.2.2.2',plain,[1 ^ [unordered_pair(8 ^ [], 9 ^ []), unordered_pair(8 ^ [], 8 ^ [])] = 8 ^ []],reduction('1.2')).
% 0.40/1.43 %-----------------------------------------------------
% 0.40/1.43
% 0.40/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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