TSTP Solution File: SET076+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET076+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 02:51:02 EDT 2022
% Result : Theorem 9.89s 10.69s
% Output : Proof 9.89s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET076+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % 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 : Mon Jul 11 05:00:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.89/10.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.89/10.70 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.89/10.70
% 9.89/10.70 %-----------------------------------------------------
% 9.89/10.70 fof(unordered_pair_is_subset, conjecture, ! [_77628, _77631, _77634] : (member(_77628, _77634) & member(_77631, _77634) => subclass(unordered_pair(_77628, _77631), _77634)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', unordered_pair_is_subset)).
% 9.89/10.70 fof(subclass_defn, axiom, ! [_77913, _77916] : (subclass(_77913, _77916) <=> ! [_77934] : (member(_77934, _77913) => member(_77934, _77916))), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', subclass_defn)).
% 9.89/10.70 fof(unordered_pair_defn, axiom, ! [_78135, _78138, _78141] : (member(_78135, unordered_pair(_78138, _78141)) <=> member(_78135, universal_class) & (_78135 = _78138 | _78135 = _78141)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 9.89/10.70
% 9.89/10.70 cnf(1, plain, [-(member(8 ^ [], 10 ^ []))], clausify(unordered_pair_is_subset)).
% 9.89/10.70 cnf(2, plain, [-(member(9 ^ [], 10 ^ []))], clausify(unordered_pair_is_subset)).
% 9.89/10.70 cnf(3, plain, [subclass(unordered_pair(8 ^ [], 9 ^ []), 10 ^ [])], clausify(unordered_pair_is_subset)).
% 9.89/10.70 cnf(4, plain, [-(_22787 = _22787)], theory(equality)).
% 9.89/10.70 cnf(5, plain, [_22940 = _22985, -(_22985 = _22940)], theory(equality)).
% 9.89/10.70 cnf(6, plain, [-(member(_25044, _25175)), member(_24977, _25110), _24977 = _25044, _25110 = _25175], theory(equality)).
% 9.89/10.70 cnf(7, plain, [-(subclass(_36581, _36637)), -(member(1 ^ [_36637, _36581], _36581))], clausify(subclass_defn)).
% 9.89/10.70 cnf(8, plain, [-(subclass(_36581, _36637)), member(1 ^ [_36637, _36581], _36637)], clausify(subclass_defn)).
% 9.89/10.70 cnf(9, plain, [member(_37612, unordered_pair(_37677, _37741)), -(_37612 = _37677), -(_37612 = _37741)], clausify(unordered_pair_defn)).
% 9.89/10.70
% 9.89/10.70 cnf('1',plain,[subclass(unordered_pair(8 ^ [], 9 ^ []), 10 ^ [])],start(3)).
% 9.89/10.70 cnf('1.1',plain,[-(subclass(unordered_pair(8 ^ [], 9 ^ []), 10 ^ [])), -(member(1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(8 ^ [], 9 ^ [])))],extension(7,bind([[_36637, _36581], [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]]))).
% 9.89/10.70 cnf('1.1.1',plain,[member(1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(8 ^ [], 9 ^ [])), -(1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])] = 8 ^ []), -(1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])] = 9 ^ [])],extension(9,bind([[_37677, _37612, _37741], [8 ^ [], 1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 9 ^ []]]))).
% 9.89/10.70 cnf('1.1.1.1',plain,[1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])] = 8 ^ [], -(8 ^ [] = 1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])])],extension(5,bind([[_22985, _22940], [8 ^ [], 1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]]]))).
% 9.89/10.70 cnf('1.1.1.1.1',plain,[8 ^ [] = 1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], -(member(1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 10 ^ [])), member(8 ^ [], 10 ^ []), 10 ^ [] = 10 ^ []],extension(6,bind([[_25044, _24977, _25110, _25175], [1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 8 ^ [], 10 ^ [], 10 ^ []]]))).
% 9.89/10.70 cnf('1.1.1.1.1.1',plain,[member(1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 10 ^ []), -(subclass(unordered_pair(8 ^ [], 9 ^ []), 10 ^ []))],extension(8,bind([[_36581, _36637], [unordered_pair(8 ^ [], 9 ^ []), 10 ^ []]]))).
% 9.89/10.70 cnf('1.1.1.1.1.1.1',plain,[subclass(unordered_pair(8 ^ [], 9 ^ []), 10 ^ [])],extension(3)).
% 9.89/10.70 cnf('1.1.1.1.1.2',plain,[-(member(8 ^ [], 10 ^ []))],extension(1)).
% 9.89/10.70 cnf('1.1.1.1.1.3',plain,[-(10 ^ [] = 10 ^ [])],extension(4,bind([[_22787], [10 ^ []]]))).
% 9.89/10.70 cnf('1.1.1.2',plain,[1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])] = 9 ^ [], -(9 ^ [] = 1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])])],extension(5,bind([[_22985, _22940], [9 ^ [], 1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]]]))).
% 9.89/10.70 cnf('1.1.1.2.1',plain,[9 ^ [] = 1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], -(member(1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 10 ^ [])), member(9 ^ [], 10 ^ []), 10 ^ [] = 10 ^ []],extension(6,bind([[_25044, _24977, _25110, _25175], [1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 9 ^ [], 10 ^ [], 10 ^ []]]))).
% 9.89/10.70 cnf('1.1.1.2.1.1',plain,[member(1 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 10 ^ []), -(subclass(unordered_pair(8 ^ [], 9 ^ []), 10 ^ []))],extension(8,bind([[_36581, _36637], [unordered_pair(8 ^ [], 9 ^ []), 10 ^ []]]))).
% 9.89/10.70 cnf('1.1.1.2.1.1.1',plain,[subclass(unordered_pair(8 ^ [], 9 ^ []), 10 ^ [])],extension(3)).
% 9.89/10.70 cnf('1.1.1.2.1.2',plain,[-(member(9 ^ [], 10 ^ []))],extension(2)).
% 9.89/10.70 cnf('1.1.1.2.1.3',plain,[-(10 ^ [] = 10 ^ [])],extension(4,bind([[_22787], [10 ^ []]]))).
% 9.89/10.70 %-----------------------------------------------------
% 9.89/10.70
% 9.89/10.70 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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