TSTP Solution File: SEU141+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU141+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 12:00:24 EDT 2022
% Result : Theorem 7.16s 7.67s
% Output : Proof 7.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU141+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 04:06:37 EDT 2022
% 0.13/0.36 % CPUTime :
% 7.16/7.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.16/7.68 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.16/7.69
% 7.16/7.69 %-----------------------------------------------------
% 7.16/7.69 fof(t83_xboole_1, conjecture, ! [_38795, _38798] : (disjoint(_38795, _38798) <=> set_difference(_38795, _38798) = _38795), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t83_xboole_1)).
% 7.16/7.69 fof(d3_xboole_0, axiom, ! [_39038, _39041, _39044] : (_39044 = set_intersection2(_39038, _39041) <=> ! [_39065] : (in(_39065, _39044) <=> in(_39065, _39038) & in(_39065, _39041))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 7.16/7.69 fof(d4_xboole_0, axiom, ! [_39319, _39322, _39325] : (_39325 = set_difference(_39319, _39322) <=> ! [_39346] : (in(_39346, _39325) <=> in(_39346, _39319) & ~ in(_39346, _39322))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_xboole_0)).
% 7.16/7.69 fof(d7_xboole_0, axiom, ! [_39608, _39611] : (disjoint(_39608, _39611) <=> set_intersection2(_39608, _39611) = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d7_xboole_0)).
% 7.16/7.69 fof(fc1_xboole_0, axiom, empty(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_xboole_0)).
% 7.16/7.69 fof(t4_xboole_0, axiom, ! [_39822, _39825] : (~ (~ disjoint(_39822, _39825) & ! [_39847] : ~ in(_39847, set_intersection2(_39822, _39825))) & ~ (? [_39847] : in(_39847, set_intersection2(_39822, _39825)) & disjoint(_39822, _39825))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t4_xboole_0)).
% 7.16/7.69 fof(t7_boole, axiom, ! [_40144, _40147] : ~ (in(_40144, _40147) & empty(_40147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t7_boole)).
% 7.16/7.69
% 7.16/7.69 cnf(1, plain, [-(10 ^ []), disjoint(7 ^ [], 8 ^ [])], clausify(t83_xboole_1)).
% 7.16/7.69 cnf(2, plain, [-(10 ^ []), -(set_difference(7 ^ [], 8 ^ []) = 7 ^ [])], clausify(t83_xboole_1)).
% 7.16/7.69 cnf(3, plain, [-(9 ^ []), set_difference(7 ^ [], 8 ^ []) = 7 ^ []], clausify(t83_xboole_1)).
% 7.16/7.69 cnf(4, plain, [-(9 ^ []), -(disjoint(7 ^ [], 8 ^ []))], clausify(t83_xboole_1)).
% 7.16/7.69 cnf(5, plain, [9 ^ [], 10 ^ []], clausify(t83_xboole_1)).
% 7.16/7.69 cnf(6, plain, [-(_9636 = _9636)], theory(equality)).
% 7.16/7.69 cnf(7, plain, [_9789 = _9834, -(_9834 = _9789)], theory(equality)).
% 7.16/7.69 cnf(8, plain, [_15720 = set_intersection2(_15581, _15651), -(in(_15884, _15720)), in(_15884, _15581), in(_15884, _15651)], clausify(d3_xboole_0)).
% 7.16/7.69 cnf(9, plain, [-(_15720 = set_intersection2(_15581, _15651)), -(in(2 ^ [_15720, _15651, _15581], _15720)), -(in(2 ^ [_15720, _15651, _15581], _15581))], clausify(d3_xboole_0)).
% 7.16/7.69 cnf(10, plain, [-(_15720 = set_intersection2(_15581, _15651)), -(in(2 ^ [_15720, _15651, _15581], _15720)), -(in(2 ^ [_15720, _15651, _15581], _15651))], clausify(d3_xboole_0)).
% 7.16/7.69 cnf(11, plain, [_16409 = set_difference(_16266, _16338), in(_16575, _16409), in(_16575, _16338)], clausify(d4_xboole_0)).
% 7.16/7.69 cnf(12, plain, [-(_16409 = set_difference(_16266, _16338)), -(in(3 ^ [_16409, _16338, _16266], _16409)), -(in(3 ^ [_16409, _16338, _16266], _16266))], clausify(d4_xboole_0)).
% 7.16/7.69 cnf(13, plain, [-(_16409 = set_difference(_16266, _16338)), in(3 ^ [_16409, _16338, _16266], _16409), in(3 ^ [_16409, _16338, _16266], _16266), -(in(3 ^ [_16409, _16338, _16266], _16338))], clausify(d4_xboole_0)).
% 7.16/7.69 cnf(14, plain, [-(disjoint(_16975, _17023)), set_intersection2(_16975, _17023) = empty_set], clausify(d7_xboole_0)).
% 7.16/7.69 cnf(15, plain, [-(empty(empty_set))], clausify(fc1_xboole_0)).
% 7.16/7.69 cnf(16, plain, [in(_20058, set_intersection2(_19606, _19687)), disjoint(_19606, _19687)], clausify(t4_xboole_0)).
% 7.16/7.69 cnf(17, plain, [in(_20613, _20659), empty(_20659)], clausify(t7_boole)).
% 7.16/7.69
% 7.16/7.69 cnf('1',plain,[9 ^ [], 10 ^ []],start(5)).
% 7.16/7.69 cnf('1.1',plain,[-(9 ^ []), set_difference(7 ^ [], 8 ^ []) = 7 ^ []],extension(3)).
% 7.16/7.69 cnf('1.1.1',plain,[-(set_difference(7 ^ [], 8 ^ []) = 7 ^ []), 7 ^ [] = set_difference(7 ^ [], 8 ^ [])],extension(7,bind([[_9789, _9834], [7 ^ [], set_difference(7 ^ [], 8 ^ [])]]))).
% 7.16/7.69 cnf('1.1.1.1',plain,[-(7 ^ [] = set_difference(7 ^ [], 8 ^ [])), -(in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 7 ^ [])), -(in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 7 ^ []))],extension(12,bind([[_16409, _16338, _16266], [7 ^ [], 8 ^ [], 7 ^ []]]))).
% 7.16/7.69 cnf('1.1.1.1.1',plain,[in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 7 ^ []), -(7 ^ [] = set_difference(7 ^ [], 8 ^ [])), in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 7 ^ []), -(in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 8 ^ []))],extension(13,bind([[_16409, _16266, _16338], [7 ^ [], 7 ^ [], 8 ^ []]]))).
% 7.16/7.69 cnf('1.1.1.1.1.1',plain,[7 ^ [] = set_difference(7 ^ [], 8 ^ [])],reduction('1.1.1')).
% 7.16/7.69 cnf('1.1.1.1.1.2',plain,[-(in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 7 ^ []))],reduction('1.1.1.1')).
% 7.16/7.69 cnf('1.1.1.1.1.3',plain,[in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 8 ^ []), set_intersection2(7 ^ [], 8 ^ []) = set_intersection2(7 ^ [], 8 ^ []), -(in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], set_intersection2(7 ^ [], 8 ^ []))), in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 7 ^ [])],extension(8,bind([[_15651, _15720, _15884, _15581], [8 ^ [], set_intersection2(7 ^ [], 8 ^ []), 3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 7 ^ []]]))).
% 7.16/7.69 cnf('1.1.1.1.1.3.1',plain,[-(set_intersection2(7 ^ [], 8 ^ []) = set_intersection2(7 ^ [], 8 ^ []))],extension(6,bind([[_9636], [set_intersection2(7 ^ [], 8 ^ [])]]))).
% 7.16/7.69 cnf('1.1.1.1.1.3.2',plain,[in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], set_intersection2(7 ^ [], 8 ^ [])), disjoint(7 ^ [], 8 ^ [])],extension(16,bind([[_20058, _19606, _19687], [3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 7 ^ [], 8 ^ []]]))).
% 7.16/7.69 cnf('1.1.1.1.1.3.2.1',plain,[-(disjoint(7 ^ [], 8 ^ [])), -(9 ^ [])],extension(4)).
% 7.16/7.69 cnf('1.1.1.1.1.3.2.1.1',plain,[9 ^ []],reduction('1')).
% 7.16/7.69 cnf('1.1.1.1.1.3.3',plain,[-(in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 7 ^ []))],lemmata('1.1.1.1.1')).
% 7.16/7.69 cnf('1.1.1.1.2',plain,[in(3 ^ [7 ^ [], 8 ^ [], 7 ^ []], 7 ^ [])],lemmata('1.1.1.1')).
% 7.16/7.69 cnf('1.2',plain,[-(10 ^ []), disjoint(7 ^ [], 8 ^ [])],extension(1)).
% 7.16/7.69 cnf('1.2.1',plain,[-(disjoint(7 ^ [], 8 ^ [])), set_intersection2(7 ^ [], 8 ^ []) = empty_set],extension(14,bind([[_16975, _17023], [7 ^ [], 8 ^ []]]))).
% 7.16/7.69 cnf('1.2.1.1',plain,[-(set_intersection2(7 ^ [], 8 ^ []) = empty_set), empty_set = set_intersection2(7 ^ [], 8 ^ [])],extension(7,bind([[_9789, _9834], [empty_set, set_intersection2(7 ^ [], 8 ^ [])]]))).
% 7.16/7.69 cnf('1.2.1.1.1',plain,[-(empty_set = set_intersection2(7 ^ [], 8 ^ [])), -(in(2 ^ [empty_set, 8 ^ [], 7 ^ []], empty_set)), -(in(2 ^ [empty_set, 8 ^ [], 7 ^ []], 7 ^ []))],extension(9,bind([[_15720, _15651, _15581], [empty_set, 8 ^ [], 7 ^ []]]))).
% 7.16/7.69 cnf('1.2.1.1.1.1',plain,[in(2 ^ [empty_set, 8 ^ [], 7 ^ []], empty_set), empty(empty_set)],extension(17,bind([[_20613, _20659], [2 ^ [empty_set, 8 ^ [], 7 ^ []], empty_set]]))).
% 7.16/7.69 cnf('1.2.1.1.1.1.1',plain,[-(empty(empty_set))],extension(15)).
% 7.16/7.69 cnf('1.2.1.1.1.2',plain,[in(2 ^ [empty_set, 8 ^ [], 7 ^ []], 7 ^ []), 7 ^ [] = set_difference(7 ^ [], 8 ^ []), in(2 ^ [empty_set, 8 ^ [], 7 ^ []], 8 ^ [])],extension(11,bind([[_16409, _16266, _16575, _16338], [7 ^ [], 7 ^ [], 2 ^ [empty_set, 8 ^ [], 7 ^ []], 8 ^ []]]))).
% 7.16/7.69 cnf('1.2.1.1.1.2.1',plain,[-(7 ^ [] = set_difference(7 ^ [], 8 ^ [])), set_difference(7 ^ [], 8 ^ []) = 7 ^ []],extension(7,bind([[_9789, _9834], [set_difference(7 ^ [], 8 ^ []), 7 ^ []]]))).
% 7.16/7.69 cnf('1.2.1.1.1.2.1.1',plain,[-(set_difference(7 ^ [], 8 ^ []) = 7 ^ []), -(10 ^ [])],extension(2)).
% 7.16/7.69 cnf('1.2.1.1.1.2.1.1.1',plain,[10 ^ []],reduction('1')).
% 7.16/7.69 cnf('1.2.1.1.1.2.2',plain,[-(in(2 ^ [empty_set, 8 ^ [], 7 ^ []], 8 ^ [])), -(empty_set = set_intersection2(7 ^ [], 8 ^ [])), -(in(2 ^ [empty_set, 8 ^ [], 7 ^ []], empty_set))],extension(10,bind([[_15651, _15581, _15720], [8 ^ [], 7 ^ [], empty_set]]))).
% 7.16/7.69 cnf('1.2.1.1.1.2.2.1',plain,[empty_set = set_intersection2(7 ^ [], 8 ^ [])],reduction('1.2.1.1')).
% 7.16/7.69 cnf('1.2.1.1.1.2.2.2',plain,[in(2 ^ [empty_set, 8 ^ [], 7 ^ []], empty_set)],lemmata('1.2.1.1.1')).
% 7.16/7.69 %-----------------------------------------------------
% 7.16/7.69
% 7.16/7.69 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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