TSTP Solution File: SET945+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET945+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 02:57:15 EDT 2022
% Result : Theorem 103.29s 99.84s
% Output : Proof 103.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET945+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n028.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 : Sun Jul 10 01:51:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 103.29/99.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 103.29/99.85 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 103.29/99.86
% 103.29/99.86 %-----------------------------------------------------
% 103.29/99.86 fof(t98_zfmisc_1, conjecture, ! [_27225, _27228] : (! [_27236] : (in(_27236, _27225) => disjoint(_27236, _27228)) => disjoint(union(_27225), _27228)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t98_zfmisc_1)).
% 103.29/99.86 fof(d3_xboole_0, axiom, ! [_27492, _27495, _27498] : (_27498 = set_intersection2(_27492, _27495) <=> ! [_27519] : (in(_27519, _27498) <=> in(_27519, _27492) & in(_27519, _27495))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 103.29/99.86 fof(t4_xboole_0, axiom, ! [_27778, _27781] : (~ (~ disjoint(_27778, _27781) & ! [_27803] : ~ in(_27803, set_intersection2(_27778, _27781))) & ~ (? [_27803] : in(_27803, set_intersection2(_27778, _27781)) & disjoint(_27778, _27781))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t4_xboole_0)).
% 103.29/99.86 fof(d4_tarski, axiom, ! [_28111, _28114] : (_28114 = union(_28111) <=> ! [_28132] : (in(_28132, _28114) <=> ? [_28150] : (in(_28132, _28150) & in(_28150, _28111)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_tarski)).
% 103.29/99.86
% 103.29/99.86 cnf(1, plain, [disjoint(union(8 ^ []), 9 ^ [])], clausify(t98_zfmisc_1)).
% 103.29/99.86 cnf(2, plain, [in(_15955, 8 ^ []), -(disjoint(_15955, 9 ^ []))], clausify(t98_zfmisc_1)).
% 103.29/99.86 cnf(3, plain, [_9658 = _9707, -(union(_9658) = union(_9707))], theory(equality)).
% 103.29/99.86 cnf(4, plain, [-(set_intersection2(_9044, _9177) = set_intersection2(_9111, _9242)), _9044 = _9111, _9177 = _9242], theory(equality)).
% 103.29/99.86 cnf(5, plain, [-(_6524 = _6524)], theory(equality)).
% 103.29/99.86 cnf(6, plain, [_10817 = set_intersection2(_10678, _10748), in(_10981, _10817), -(in(_10981, _10678))], clausify(d3_xboole_0)).
% 103.29/99.86 cnf(7, plain, [_10817 = set_intersection2(_10678, _10748), in(_10981, _10817), -(in(_10981, _10748))], clausify(d3_xboole_0)).
% 103.29/99.86 cnf(8, plain, [_10817 = set_intersection2(_10678, _10748), -(in(_10981, _10817)), in(_10981, _10678), in(_10981, _10748)], clausify(d3_xboole_0)).
% 103.29/99.86 cnf(9, plain, [-(disjoint(_12902, _12983)), -(in(7 ^ [_12983, _12902], set_intersection2(_12902, _12983)))], clausify(t4_xboole_0)).
% 103.29/99.86 cnf(10, plain, [in(_13354, set_intersection2(_12902, _12983)), disjoint(_12902, _12983)], clausify(t4_xboole_0)).
% 103.29/99.86 cnf(11, plain, [_11432 = union(_11363), in(_11575, _11432), -(in(_11575, 2 ^ [_11575, _11432, _11363]))], clausify(d4_tarski)).
% 103.29/99.86 cnf(12, plain, [_11432 = union(_11363), in(_11575, _11432), -(in(2 ^ [_11575, _11432, _11363], _11363))], clausify(d4_tarski)).
% 103.29/99.86
% 103.29/99.86 cnf('1',plain,[disjoint(union(8 ^ []), 9 ^ [])],start(1)).
% 103.29/99.86 cnf('1.1',plain,[-(disjoint(union(8 ^ []), 9 ^ [])), -(in(7 ^ [9 ^ [], union(8 ^ [])], set_intersection2(union(8 ^ []), 9 ^ [])))],extension(9,bind([[_12902, _12983], [union(8 ^ []), 9 ^ []]]))).
% 103.29/99.86 cnf('1.1.1',plain,[in(7 ^ [9 ^ [], union(8 ^ [])], set_intersection2(union(8 ^ []), 9 ^ [])), set_intersection2(union(8 ^ []), 9 ^ []) = set_intersection2(union(8 ^ []), 9 ^ []), -(in(7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ [])))],extension(6,bind([[_10817, _10748, _10981, _10678], [set_intersection2(union(8 ^ []), 9 ^ []), 9 ^ [], 7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ [])]]))).
% 103.29/99.86 cnf('1.1.1.1',plain,[-(set_intersection2(union(8 ^ []), 9 ^ []) = set_intersection2(union(8 ^ []), 9 ^ [])), union(8 ^ []) = union(8 ^ []), 9 ^ [] = 9 ^ []],extension(4,bind([[_9044, _9111, _9177, _9242], [union(8 ^ []), union(8 ^ []), 9 ^ [], 9 ^ []]]))).
% 103.29/99.86 cnf('1.1.1.1.1',plain,[-(union(8 ^ []) = union(8 ^ [])), 8 ^ [] = 8 ^ []],extension(3,bind([[_9658, _9707], [8 ^ [], 8 ^ []]]))).
% 103.29/99.86 cnf('1.1.1.1.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(5,bind([[_6524], [8 ^ []]]))).
% 103.29/99.86 cnf('1.1.1.1.2',plain,[-(9 ^ [] = 9 ^ [])],extension(5,bind([[_6524], [9 ^ []]]))).
% 103.29/99.86 cnf('1.1.1.2',plain,[in(7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ [])), union(8 ^ []) = union(8 ^ []), -(in(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 8 ^ []))],extension(12,bind([[_11575, _11432, _11363], [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []]]))).
% 103.29/99.86 cnf('1.1.1.2.1',plain,[-(union(8 ^ []) = union(8 ^ [])), 8 ^ [] = 8 ^ []],extension(3,bind([[_9658, _9707], [8 ^ [], 8 ^ []]]))).
% 103.29/99.86 cnf('1.1.1.2.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(5,bind([[_6524], [8 ^ []]]))).
% 103.29/99.86 cnf('1.1.1.2.2',plain,[in(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 8 ^ []), -(disjoint(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ []))],extension(2,bind([[_15955], [2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []]]]))).
% 103.29/99.86 cnf('1.1.1.2.2.1',plain,[disjoint(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ []), in(7 ^ [9 ^ [], union(8 ^ [])], set_intersection2(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ []))],extension(10,bind([[_13354, _12902, _12983], [7 ^ [9 ^ [], union(8 ^ [])], 2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ []]]))).
% 103.29/99.86 cnf('1.1.1.2.2.1.1',plain,[-(in(7 ^ [9 ^ [], union(8 ^ [])], set_intersection2(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ []))), set_intersection2(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ []) = set_intersection2(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ []), in(7 ^ [9 ^ [], union(8 ^ [])], 2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []]), in(7 ^ [9 ^ [], union(8 ^ [])], 9 ^ [])],extension(8,bind([[_10817, _10678, _10981, _10748], [set_intersection2(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ []), 2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 7 ^ [9 ^ [], union(8 ^ [])], 9 ^ []]]))).
% 103.29/99.86 cnf('1.1.1.2.2.1.1.1',plain,[-(set_intersection2(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ []) = set_intersection2(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ [])), 2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []] = 2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ [] = 9 ^ []],extension(4,bind([[_9044, _9111, _9177, _9242], [2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []], 9 ^ [], 9 ^ []]]))).
% 103.29/99.86 cnf('1.1.1.2.2.1.1.1.1',plain,[-(2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []] = 2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []])],extension(5,bind([[_6524], [2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []]]]))).
% 103.29/99.86 cnf('1.1.1.2.2.1.1.1.2',plain,[-(9 ^ [] = 9 ^ [])],extension(5,bind([[_6524], [9 ^ []]]))).
% 103.29/99.86 cnf('1.1.1.2.2.1.1.2',plain,[-(in(7 ^ [9 ^ [], union(8 ^ [])], 2 ^ [7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []), 8 ^ []])), union(8 ^ []) = union(8 ^ []), in(7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ []))],extension(11,bind([[_11363, _11575, _11432], [8 ^ [], 7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ [])]]))).
% 103.29/99.86 cnf('1.1.1.2.2.1.1.2.1',plain,[-(union(8 ^ []) = union(8 ^ []))],extension(5,bind([[_6524], [union(8 ^ [])]]))).
% 103.29/99.86 cnf('1.1.1.2.2.1.1.2.2',plain,[-(in(7 ^ [9 ^ [], union(8 ^ [])], union(8 ^ [])))],reduction('1.1.1')).
% 103.29/99.86 cnf('1.1.1.2.2.1.1.3',plain,[-(in(7 ^ [9 ^ [], union(8 ^ [])], 9 ^ [])), set_intersection2(union(8 ^ []), 9 ^ []) = set_intersection2(union(8 ^ []), 9 ^ []), in(7 ^ [9 ^ [], union(8 ^ [])], set_intersection2(union(8 ^ []), 9 ^ []))],extension(7,bind([[_10678, _10748, _10981, _10817], [union(8 ^ []), 9 ^ [], 7 ^ [9 ^ [], union(8 ^ [])], set_intersection2(union(8 ^ []), 9 ^ [])]]))).
% 103.29/99.86 cnf('1.1.1.2.2.1.1.3.1',plain,[-(set_intersection2(union(8 ^ []), 9 ^ []) = set_intersection2(union(8 ^ []), 9 ^ []))],extension(5,bind([[_6524], [set_intersection2(union(8 ^ []), 9 ^ [])]]))).
% 103.29/99.86 cnf('1.1.1.2.2.1.1.3.2',plain,[-(in(7 ^ [9 ^ [], union(8 ^ [])], set_intersection2(union(8 ^ []), 9 ^ [])))],reduction('1.1')).
% 103.29/99.86 %-----------------------------------------------------
% 103.29/99.86
% 103.29/99.86 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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