TSTP Solution File: SEU138+1 by leanCoP---2.2
View Problem
- Process Solution
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% File : leanCoP---2.2
% Problem : SEU138+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 12:00:22 EDT 2022
% Result : Theorem 0.88s 1.40s
% Output : Proof 0.88s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU138+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n018.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 Jun 19 07:31:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.88/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.42
% 0.88/1.42 %-----------------------------------------------------
% 0.88/1.42 fof(t48_xboole_1, conjecture, ! [_38704, _38707] : set_difference(_38704, set_difference(_38704, _38707)) = set_intersection2(_38704, _38707), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t48_xboole_1)).
% 0.88/1.42 fof(d3_xboole_0, axiom, ! [_38937, _38940, _38943] : (_38943 = set_intersection2(_38937, _38940) <=> ! [_38964] : (in(_38964, _38943) <=> in(_38964, _38937) & in(_38964, _38940))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 0.88/1.42 fof(d4_xboole_0, axiom, ! [_39220, _39223, _39226] : (_39226 = set_difference(_39220, _39223) <=> ! [_39247] : (in(_39247, _39226) <=> in(_39247, _39220) & ~ in(_39247, _39223))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 0.88/1.42
% 0.88/1.42 cnf(1, plain, [set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ [])) = set_intersection2(6 ^ [], 7 ^ [])], clausify(t48_xboole_1)).
% 0.88/1.42 cnf(2, plain, [-(set_difference(_10787, _10920) = set_difference(_10854, _10985)), _10787 = _10854, _10920 = _10985], theory(equality)).
% 0.88/1.42 cnf(3, plain, [-(set_intersection2(_11401, _11534) = set_intersection2(_11468, _11599)), _11401 = _11468, _11534 = _11599], theory(equality)).
% 0.88/1.42 cnf(4, plain, [-(_8267 = _8267)], theory(equality)).
% 0.88/1.42 cnf(5, plain, [_8420 = _8465, -(_8465 = _8420)], theory(equality)).
% 0.88/1.42 cnf(6, plain, [-(in(_9571, _9702)), in(_9504, _9637), _9504 = _9571, _9637 = _9702], theory(equality)).
% 0.88/1.42 cnf(7, plain, [_13712 = set_intersection2(_13573, _13643), in(_13876, _13712), -(in(_13876, _13573))], clausify(d3_xboole_0)).
% 0.88/1.42 cnf(8, plain, [_13712 = set_intersection2(_13573, _13643), in(_13876, _13712), -(in(_13876, _13643))], clausify(d3_xboole_0)).
% 0.88/1.42 cnf(9, plain, [_13712 = set_intersection2(_13573, _13643), -(in(_13876, _13712)), in(_13876, _13573), in(_13876, _13643)], clausify(d3_xboole_0)).
% 0.88/1.42 cnf(10, plain, [_14401 = set_difference(_14258, _14330), in(_14567, _14401), in(_14567, _14330)], clausify(d4_xboole_0)).
% 0.88/1.42 cnf(11, plain, [_14401 = set_difference(_14258, _14330), -(in(_14567, _14401)), in(_14567, _14258), -(in(_14567, _14330))], clausify(d4_xboole_0)).
% 0.88/1.42 cnf(12, plain, [-(_14401 = set_difference(_14258, _14330)), -(in(3 ^ [_14401, _14330, _14258], _14401)), -(in(3 ^ [_14401, _14330, _14258], _14258))], clausify(d4_xboole_0)).
% 0.88/1.42 cnf(13, plain, [-(_14401 = set_difference(_14258, _14330)), -(in(3 ^ [_14401, _14330, _14258], _14401)), in(3 ^ [_14401, _14330, _14258], _14330)], clausify(d4_xboole_0)).
% 0.88/1.42 cnf(14, plain, [-(_14401 = set_difference(_14258, _14330)), in(3 ^ [_14401, _14330, _14258], _14401), in(3 ^ [_14401, _14330, _14258], _14258), -(in(3 ^ [_14401, _14330, _14258], _14330))], clausify(d4_xboole_0)).
% 0.88/1.42
% 0.88/1.42 cnf('1',plain,[set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ [])) = set_intersection2(6 ^ [], 7 ^ [])],start(1)).
% 0.88/1.42 cnf('1.1',plain,[-(set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ [])) = set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []) = set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ []))],extension(5,bind([[_8420, _8465], [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ []))]]))).
% 0.88/1.42 cnf('1.1.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ []))), in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ [])), in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ []), -(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_difference(6 ^ [], 7 ^ [])))],extension(14,bind([[_14401, _14258, _14330], [set_intersection2(6 ^ [], 7 ^ []), 6 ^ [], set_difference(6 ^ [], 7 ^ [])]]))).
% 0.88/1.42 cnf('1.1.1.1',plain,[-(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ []))), set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(6 ^ [], 7 ^ []), in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ []), in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 7 ^ [])],extension(9,bind([[_13712, _13573, _13876, _13643], [set_intersection2(6 ^ [], 7 ^ []), 6 ^ [], 3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 7 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.1.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(6 ^ [], 7 ^ [])), 6 ^ [] = 6 ^ [], 7 ^ [] = 7 ^ []],extension(3,bind([[_11401, _11468, _11534, _11599], [6 ^ [], 6 ^ [], 7 ^ [], 7 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.1.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_8267], [6 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.1.1.2',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_8267], [7 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.1.2',plain,[-(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ [])), set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(6 ^ [], 7 ^ []), in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ []))],extension(7,bind([[_13573, _13643, _13876, _13712], [6 ^ [], 7 ^ [], 3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 0.88/1.42 cnf('1.1.1.1.2.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(6 ^ [], 7 ^ []))],extension(4,bind([[_8267], [set_intersection2(6 ^ [], 7 ^ [])]]))).
% 0.88/1.42 cnf('1.1.1.1.2.2',plain,[-(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ []))), -(set_intersection2(6 ^ [], 7 ^ []) = set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ []))), -(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ []))],extension(12,bind([[_14401, _14330, _14258], [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.1.2.2.1',plain,[set_intersection2(6 ^ [], 7 ^ []) = set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ []))],reduction('1.1')).
% 0.88/1.42 cnf('1.1.1.1.2.2.2',plain,[in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ [])],reduction('1.1.1.1')).
% 0.88/1.42 cnf('1.1.1.1.3',plain,[-(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 7 ^ [])), set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ []), -(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_difference(6 ^ [], 7 ^ []))), in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ [])],extension(11,bind([[_14330, _14401, _14567, _14258], [7 ^ [], set_difference(6 ^ [], 7 ^ []), 3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.1.3.1',plain,[-(set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ []))],extension(4,bind([[_8267], [set_difference(6 ^ [], 7 ^ [])]]))).
% 0.88/1.42 cnf('1.1.1.1.3.2',plain,[in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_difference(6 ^ [], 7 ^ [])), -(set_intersection2(6 ^ [], 7 ^ []) = set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ []))), -(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ [])))],extension(13,bind([[_14330, _14258, _14401], [set_difference(6 ^ [], 7 ^ []), 6 ^ [], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 0.88/1.42 cnf('1.1.1.1.3.2.1',plain,[set_intersection2(6 ^ [], 7 ^ []) = set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ []))],reduction('1.1')).
% 0.88/1.42 cnf('1.1.1.1.3.2.2',plain,[in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ []))],reduction('1.1.1')).
% 0.88/1.42 cnf('1.1.1.1.3.3',plain,[-(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ []))],lemmata('1.1.1.1')).
% 0.88/1.42 cnf('1.1.1.2',plain,[-(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ [])), in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ []), 3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []] = 3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ [] = 6 ^ []],extension(6,bind([[_9504, _9571, _9637, _9702], [3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ [], 6 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.2.1',plain,[-(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ [])), set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(6 ^ [], 7 ^ []), in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ []))],extension(7,bind([[_13573, _13643, _13876, _13712], [6 ^ [], 7 ^ [], 3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 0.88/1.42 cnf('1.1.1.2.1.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(6 ^ [], 7 ^ []))],extension(4,bind([[_8267], [set_intersection2(6 ^ [], 7 ^ [])]]))).
% 0.88/1.42 cnf('1.1.1.2.1.2',plain,[-(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ []))), -(set_intersection2(6 ^ [], 7 ^ []) = set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ []))), -(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ []))],extension(12,bind([[_14401, _14330, _14258], [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.2.1.2.1',plain,[set_intersection2(6 ^ [], 7 ^ []) = set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ []))],reduction('1.1')).
% 0.88/1.42 cnf('1.1.1.2.1.2.2',plain,[in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 6 ^ [])],reduction('1.1.1.2')).
% 0.88/1.42 cnf('1.1.1.2.2',plain,[-(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []] = 3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []])],extension(4,bind([[_8267], [3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []]]]))).
% 0.88/1.42 cnf('1.1.1.2.3',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_8267], [6 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.3',plain,[in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_difference(6 ^ [], 7 ^ [])), set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ []), in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 7 ^ [])],extension(10,bind([[_14401, _14258, _14567, _14330], [set_difference(6 ^ [], 7 ^ []), 6 ^ [], 3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 7 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.3.1',plain,[-(set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ [])), 6 ^ [] = 6 ^ [], 7 ^ [] = 7 ^ []],extension(2,bind([[_10787, _10854, _10920, _10985], [6 ^ [], 6 ^ [], 7 ^ [], 7 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.3.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_8267], [6 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.3.1.2',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_8267], [7 ^ []]]))).
% 0.88/1.42 cnf('1.1.1.3.2',plain,[-(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(6 ^ [], 7 ^ []), in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ []))],extension(8,bind([[_13573, _13643, _13876, _13712], [6 ^ [], 7 ^ [], 3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 0.88/1.42 cnf('1.1.1.3.2.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(6 ^ [], 7 ^ []))],extension(4,bind([[_8267], [set_intersection2(6 ^ [], 7 ^ [])]]))).
% 0.88/1.42 cnf('1.1.1.3.2.2',plain,[-(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_intersection2(6 ^ [], 7 ^ []))), -(set_intersection2(6 ^ [], 7 ^ []) = set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ []))), in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_difference(6 ^ [], 7 ^ []))],extension(13,bind([[_14401, _14258, _14330], [set_intersection2(6 ^ [], 7 ^ []), 6 ^ [], set_difference(6 ^ [], 7 ^ [])]]))).
% 0.88/1.42 cnf('1.1.1.3.2.2.1',plain,[set_intersection2(6 ^ [], 7 ^ []) = set_difference(6 ^ [], set_difference(6 ^ [], 7 ^ []))],reduction('1.1')).
% 0.88/1.42 cnf('1.1.1.3.2.2.2',plain,[-(in(3 ^ [set_intersection2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []), 6 ^ []], set_difference(6 ^ [], 7 ^ [])))],reduction('1.1.1')).
% 0.88/1.42 %-----------------------------------------------------
% 0.88/1.42
% 0.88/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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