TSTP Solution File: SET628+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET628+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 02:54:56 EDT 2022
% Result : Theorem 0.38s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET628+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n013.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 : Mon Jul 11 02:22:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.41
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.41 fof(prove_th110, conjecture, ! [_18852] : (intersect(_18852, _18852) <=> not_equal(_18852, empty_set)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th110)).
% 0.38/1.41 fof(intersect_defn, axiom, ! [_19071, _19074] : (intersect(_19071, _19074) <=> ? [_19092] : (member(_19092, _19071) & member(_19092, _19074))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersect_defn)).
% 0.38/1.41 fof(empty_set_defn, axiom, ! [_19288] : ~ member(_19288, empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 0.38/1.41 fof(equal_member_defn, axiom, ! [_19405, _19408] : (_19405 = _19408 <=> ! [_19422] : (member(_19422, _19405) <=> member(_19422, _19408))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.38/1.41 fof(not_equal_defn, axiom, ! [_19605, _19608] : (not_equal(_19605, _19608) <=> (! _19605) = _19608), file('/export/starexec/sandbox/benchmark/theBenchmark.p', not_equal_defn)).
% 0.38/1.41
% 0.38/1.41 cnf(1, plain, [-(6 ^ []), intersect(4 ^ [], 4 ^ [])], clausify(prove_th110)).
% 0.38/1.41 cnf(2, plain, [-(6 ^ []), -(not_equal(4 ^ [], empty_set))], clausify(prove_th110)).
% 0.38/1.41 cnf(3, plain, [-(5 ^ []), not_equal(4 ^ [], empty_set)], clausify(prove_th110)).
% 0.38/1.41 cnf(4, plain, [-(5 ^ []), -(intersect(4 ^ [], 4 ^ []))], clausify(prove_th110)).
% 0.38/1.41 cnf(5, plain, [5 ^ [], 6 ^ []], clausify(prove_th110)).
% 0.38/1.41 cnf(6, plain, [-(_5011 = _5011)], theory(equality)).
% 0.38/1.41 cnf(7, plain, [_5164 = _5209, -(_5209 = _5164)], theory(equality)).
% 0.38/1.41 cnf(8, plain, [-(member(_6939, _7070)), member(_6872, _7005), _6872 = _6939, _7005 = _7070], theory(equality)).
% 0.38/1.41 cnf(9, plain, [intersect(_8191, _8247), -(member(1 ^ [_8247, _8191], _8191))], clausify(intersect_defn)).
% 0.38/1.41 cnf(10, plain, [-(intersect(_8191, _8247)), member(_8362, _8191), member(_8362, _8247)], clausify(intersect_defn)).
% 0.38/1.41 cnf(11, plain, [member(_8653, empty_set)], clausify(empty_set_defn)).
% 0.38/1.41 cnf(12, plain, [-(_8845 = _8901), -(member(2 ^ [_8901, _8845], _8845)), -(member(2 ^ [_8901, _8845], _8901))], clausify(equal_member_defn)).
% 0.38/1.41 cnf(13, plain, [not_equal(_9306, _9353), _9306 = _9353], clausify(not_equal_defn)).
% 0.38/1.41 cnf(14, plain, [-(not_equal(_9306, _9353)), -(_9306 = _9353)], clausify(not_equal_defn)).
% 0.38/1.41
% 0.38/1.41 cnf('1',plain,[not_equal(4 ^ [], empty_set), 4 ^ [] = empty_set],start(13,bind([[_9306, _9353], [4 ^ [], empty_set]]))).
% 0.38/1.41 cnf('1.1',plain,[-(not_equal(4 ^ [], empty_set)), -(4 ^ [] = empty_set)],extension(14,bind([[_9306, _9353], [4 ^ [], empty_set]]))).
% 0.38/1.41 cnf('1.1.1',plain,[4 ^ [] = empty_set, -(member(1 ^ [4 ^ [], 4 ^ []], empty_set)), member(1 ^ [4 ^ [], 4 ^ []], 4 ^ []), 1 ^ [4 ^ [], 4 ^ []] = 1 ^ [4 ^ [], 4 ^ []]],extension(8,bind([[_7070, _7005, _6872, _6939], [empty_set, 4 ^ [], 1 ^ [4 ^ [], 4 ^ []], 1 ^ [4 ^ [], 4 ^ []]]]))).
% 0.38/1.41 cnf('1.1.1.1',plain,[member(1 ^ [4 ^ [], 4 ^ []], empty_set)],extension(11,bind([[_8653], [1 ^ [4 ^ [], 4 ^ []]]]))).
% 0.38/1.41 cnf('1.1.1.2',plain,[-(member(1 ^ [4 ^ [], 4 ^ []], 4 ^ [])), intersect(4 ^ [], 4 ^ [])],extension(9,bind([[_8191, _8247], [4 ^ [], 4 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.2.1',plain,[-(intersect(4 ^ [], 4 ^ [])), -(5 ^ [])],extension(4)).
% 0.38/1.41 cnf('1.1.1.2.1.1',plain,[5 ^ [], 6 ^ []],extension(5)).
% 0.38/1.41 cnf('1.1.1.2.1.1.1',plain,[-(6 ^ []), -(not_equal(4 ^ [], empty_set))],extension(2)).
% 0.38/1.41 cnf('1.1.1.2.1.1.1.1',plain,[not_equal(4 ^ [], empty_set)],reduction('1')).
% 0.38/1.41 cnf('1.1.1.3',plain,[-(1 ^ [4 ^ [], 4 ^ []] = 1 ^ [4 ^ [], 4 ^ []])],extension(6,bind([[_5011], [1 ^ [4 ^ [], 4 ^ []]]]))).
% 0.38/1.41 cnf('1.2',plain,[-(4 ^ [] = empty_set), empty_set = 4 ^ []],extension(7,bind([[_5164, _5209], [empty_set, 4 ^ []]]))).
% 0.38/1.41 cnf('1.2.1',plain,[-(empty_set = 4 ^ []), -(member(2 ^ [4 ^ [], empty_set], empty_set)), -(member(2 ^ [4 ^ [], empty_set], 4 ^ []))],extension(12,bind([[_8845, _8901], [empty_set, 4 ^ []]]))).
% 0.38/1.41 cnf('1.2.1.1',plain,[member(2 ^ [4 ^ [], empty_set], empty_set)],extension(11,bind([[_8653], [2 ^ [4 ^ [], empty_set]]]))).
% 0.38/1.41 cnf('1.2.1.2',plain,[member(2 ^ [4 ^ [], empty_set], 4 ^ []), -(intersect(4 ^ [], 4 ^ [])), member(2 ^ [4 ^ [], empty_set], 4 ^ [])],extension(10,bind([[_8191, _8362, _8247], [4 ^ [], 2 ^ [4 ^ [], empty_set], 4 ^ []]]))).
% 0.38/1.41 cnf('1.2.1.2.1',plain,[intersect(4 ^ [], 4 ^ []), -(6 ^ [])],extension(1)).
% 0.38/1.41 cnf('1.2.1.2.1.1',plain,[6 ^ [], 5 ^ []],extension(5)).
% 0.38/1.41 cnf('1.2.1.2.1.1.1',plain,[-(5 ^ []), not_equal(4 ^ [], empty_set)],extension(3)).
% 0.38/1.41 cnf('1.2.1.2.1.1.1.1',plain,[-(not_equal(4 ^ [], empty_set))],lemmata('1')).
% 0.38/1.41 cnf('1.2.1.2.2',plain,[-(member(2 ^ [4 ^ [], empty_set], 4 ^ []))],reduction('1.2.1')).
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.41
% 0.38/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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