TSTP Solution File: SET183+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.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 02:52:09 EDT 2022
% Result : Theorem 0.31s 1.39s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jul 10 22:05:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.31/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.39 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.40
% 0.31/1.40 %-----------------------------------------------------
% 0.31/1.40 fof(prove_subset_intersection, conjecture, ! [_18923, _18926] : (subset(_18923, _18926) => intersection(_18923, _18926) = _18923), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_subset_intersection)).
% 0.31/1.40 fof(intersection_defn, axiom, ! [_19098, _19101, _19104] : (member(_19104, intersection(_19098, _19101)) <=> member(_19104, _19098) & member(_19104, _19101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.31/1.40 fof(subset_defn, axiom, ! [_19315, _19318] : (subset(_19315, _19318) <=> ! [_19336] : (member(_19336, _19315) => member(_19336, _19318))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.31/1.40 fof(equal_member_defn, axiom, ! [_19526, _19529] : (_19526 = _19529 <=> ! [_19543] : (member(_19543, _19526) <=> member(_19543, _19529))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.31/1.40
% 0.31/1.40 cnf(1, plain, [-(subset(3 ^ [], 4 ^ []))], clausify(prove_subset_intersection)).
% 0.31/1.40 cnf(2, plain, [intersection(3 ^ [], 4 ^ []) = 3 ^ []], clausify(prove_subset_intersection)).
% 0.31/1.40 cnf(3, plain, [member(_8306, intersection(_8189, _8248)), -(member(_8306, _8189))], clausify(intersection_defn)).
% 0.31/1.40 cnf(4, plain, [-(member(_8306, intersection(_8189, _8248))), member(_8306, _8189), member(_8306, _8248)], clausify(intersection_defn)).
% 0.31/1.40 cnf(5, plain, [subset(_8969, _9025), member(_9139, _8969), -(member(_9139, _9025))], clausify(subset_defn)).
% 0.31/1.40 cnf(6, plain, [-(_10300 = _10356), member(2 ^ [_10356, _10300], _10300), member(2 ^ [_10356, _10300], _10356)], clausify(equal_member_defn)).
% 0.31/1.40 cnf(7, plain, [-(_10300 = _10356), -(member(2 ^ [_10356, _10300], _10300)), -(member(2 ^ [_10356, _10300], _10356))], clausify(equal_member_defn)).
% 0.31/1.40
% 0.31/1.40 cnf('1',plain,[intersection(3 ^ [], 4 ^ []) = 3 ^ []],start(2)).
% 0.31/1.40 cnf('1.1',plain,[-(intersection(3 ^ [], 4 ^ []) = 3 ^ []), member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ [])), member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ [])],extension(6,bind([[_10300, _10356], [intersection(3 ^ [], 4 ^ []), 3 ^ []]]))).
% 0.31/1.40 cnf('1.1.1',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ []))), member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ []), member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 4 ^ [])],extension(4,bind([[_8189, _8306, _8248], [3 ^ [], 2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 4 ^ []]]))).
% 0.31/1.40 cnf('1.1.1.1',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ [])), -(intersection(3 ^ [], 4 ^ []) = 3 ^ []), -(member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ [])))],extension(7,bind([[_10356, _10300], [3 ^ [], intersection(3 ^ [], 4 ^ [])]]))).
% 0.31/1.40 cnf('1.1.1.1.1',plain,[intersection(3 ^ [], 4 ^ []) = 3 ^ []],extension(2)).
% 0.31/1.40 cnf('1.1.1.1.2',plain,[member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ []))],reduction('1.1')).
% 0.31/1.40 cnf('1.1.1.2',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 4 ^ [])), subset(3 ^ [], 4 ^ []), member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ [])],extension(5,bind([[_9025, _9139, _8969], [4 ^ [], 2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ []]]))).
% 0.31/1.40 cnf('1.1.1.2.1',plain,[-(subset(3 ^ [], 4 ^ []))],extension(1)).
% 0.31/1.40 cnf('1.1.1.2.2',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ []))],lemmata('1.1.1')).
% 0.31/1.40 cnf('1.1.2',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ [])), member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ []))],extension(3,bind([[_8306, _8189, _8248], [2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ [], 4 ^ []]]))).
% 0.31/1.40 cnf('1.1.2.1',plain,[-(member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ []))), -(intersection(3 ^ [], 4 ^ []) = 3 ^ []), -(member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ []))],extension(7,bind([[_10300, _10356], [intersection(3 ^ [], 4 ^ []), 3 ^ []]]))).
% 0.31/1.40 cnf('1.1.2.1.1',plain,[intersection(3 ^ [], 4 ^ []) = 3 ^ []],extension(2)).
% 0.31/1.40 cnf('1.1.2.1.2',plain,[member(2 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ [])],reduction('1.1')).
% 0.31/1.40 %-----------------------------------------------------
% 0.31/1.40
% 0.31/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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