TSTP Solution File: SET628+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET628+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 : 300s
% DateTime : Fri May 19 11:56:10 EDT 2023
% Result : Theorem 0.34s 1.37s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET628+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n016.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 : 300
% 0.12/0.33 % DateTime : Thu May 18 19:44:26 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.34/1.37
% 0.34/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 ncf(matrix, plain, [(156 ^ _21805) ^ [] : [157 ^ _21805 : [(158 ^ _21805) ^ [] : [-(intersect(154 ^ [], 154 ^ []))], (160 ^ _21805) ^ [] : [not_equal(154 ^ [], empty_set)]], 161 ^ _21805 : [(162 ^ _21805) ^ [] : [-(not_equal(154 ^ [], empty_set))], (164 ^ _21805) ^ [] : [intersect(154 ^ [], 154 ^ [])]]], (2 ^ _21805) ^ [_21929] : [-(_21929 = _21929)], (4 ^ _21805) ^ [_22036, _22038] : [_22038 = _22036, -(_22036 = _22038)], (10 ^ _21805) ^ [_22240, _22242, _22244] : [-(_22244 = _22240), _22244 = _22242, _22242 = _22240], (20 ^ _21805) ^ [_22553, _22555] : [-(empty(_22553)), _22555 = _22553, empty(_22555)], (30 ^ _21805) ^ [_22876, _22878, _22880, _22882] : [-(member(_22880, _22876)), member(_22882, _22878), _22882 = _22880, _22878 = _22876], (44 ^ _21805) ^ [_23320, _23322, _23324, _23326] : [-(intersect(_23324, _23320)), intersect(_23326, _23322), _23326 = _23324, _23322 = _23320], (58 ^ _21805) ^ [_23744, _23746, _23748, _23750] : [-(not_equal(_23748, _23744)), not_equal(_23750, _23746), _23750 = _23748, _23746 = _23744], (72 ^ _21805) ^ [_24201, _24203] : [intersect(_24203, _24201), 76 ^ _21805 : [(77 ^ _21805) ^ [] : [-(member(75 ^ [_24201, _24203], _24203))], (79 ^ _21805) ^ [] : [-(member(75 ^ [_24201, _24203], _24201))]]], (81 ^ _21805) ^ [_24508, _24510] : [-(intersect(_24510, _24508)), 82 ^ _21805 : [(83 ^ _21805) ^ [_24600] : [member(_24600, _24510), member(_24600, _24508)]]], (91 ^ _21805) ^ [_24842] : [member(_24842, empty_set)], (109 ^ _21805) ^ [_25495, _25497] : [-(_25497 = _25495), 113 ^ _21805 : [(114 ^ _21805) ^ [] : [-(member(110 ^ [_25495, _25497], _25497))], (116 ^ _21805) ^ [] : [member(110 ^ [_25495, _25497], _25495)]], 117 ^ _21805 : [(118 ^ _21805) ^ [] : [-(member(110 ^ [_25495, _25497], _25495))], (120 ^ _21805) ^ [] : [member(110 ^ [_25495, _25497], _25497)]]], (93 ^ _21805) ^ [_24978, _24980] : [_24980 = _24978, 96 ^ _21805 : [(97 ^ _21805) ^ [_25144] : [member(_25144, _24980), -(member(_25144, _24978))], (103 ^ _21805) ^ [_25316] : [member(_25316, _24978), -(member(_25316, _24980))]]], (124 ^ _21805) ^ [_26056, _26058] : [not_equal(_26058, _26056), _26058 = _26056], (130 ^ _21805) ^ [_26219, _26221] : [-(_26221 = _26219), -(not_equal(_26221, _26219))], (136 ^ _21805) ^ [_26434, _26436] : [intersect(_26436, _26434), -(intersect(_26434, _26436))], (142 ^ _21805) ^ [_26639] : [empty(_26639), 145 ^ _21805 : [(146 ^ _21805) ^ [_26750] : [member(_26750, _26639)]]], (148 ^ _21805) ^ [_26816] : [-(member(149 ^ [_26816], _26816)), -(empty(_26816))]], input).
% 0.34/1.37 ncf('1',plain,[160 : not_equal(154 ^ [], empty_set), 164 : intersect(154 ^ [], 154 ^ [])],start(156 ^ 0)).
% 0.34/1.37 ncf('1.1',plain,[-(not_equal(154 ^ [], empty_set)), -(154 ^ [] = empty_set)],extension(130 ^ 3,bind([[_26219, _26221], [empty_set, 154 ^ []]]))).
% 0.34/1.37 ncf('1.1.1',plain,[154 ^ [] = empty_set, -(member(75 ^ [154 ^ [], 154 ^ []], empty_set)), member(75 ^ [154 ^ [], 154 ^ []], 154 ^ []), 75 ^ [154 ^ [], 154 ^ []] = 75 ^ [154 ^ [], 154 ^ []]],extension(30 ^ 4,bind([[_22876, _22878, _22880, _22882], [empty_set, 154 ^ [], 75 ^ [154 ^ [], 154 ^ []], 75 ^ [154 ^ [], 154 ^ []]]]))).
% 0.34/1.37 ncf('1.1.1.1',plain,[member(75 ^ [154 ^ [], 154 ^ []], empty_set)],extension(91 ^ 5,bind([[_24842], [75 ^ [154 ^ [], 154 ^ []]]]))).
% 0.34/1.37 ncf('1.1.1.2',plain,[-(member(75 ^ [154 ^ [], 154 ^ []], 154 ^ [])), intersect(154 ^ [], 154 ^ [])],extension(72 ^ 5,bind([[_24201, _24203], [154 ^ [], 154 ^ []]]))).
% 0.34/1.37 ncf('1.1.1.2.1',plain,[-(intersect(154 ^ [], 154 ^ []))],extension(158 ^ 6)).
% 0.34/1.37 ncf('1.1.1.3',plain,[-(75 ^ [154 ^ [], 154 ^ []] = 75 ^ [154 ^ [], 154 ^ []])],extension(2 ^ 5,bind([[_21929], [75 ^ [154 ^ [], 154 ^ []]]]))).
% 0.34/1.37 ncf('1.2',plain,[-(intersect(154 ^ [], 154 ^ [])), 83 : member(110 ^ [empty_set, 154 ^ []], 154 ^ []), 83 : member(110 ^ [empty_set, 154 ^ []], 154 ^ [])],extension(81 ^ 3,bind([[_24508, _24510, _24600], [154 ^ [], 154 ^ [], 110 ^ [empty_set, 154 ^ []]]]))).
% 0.34/1.37 ncf('1.2.1',plain,[-(member(110 ^ [empty_set, 154 ^ []], 154 ^ [])), -(154 ^ [] = empty_set), 118 : -(member(110 ^ [empty_set, 154 ^ []], empty_set))],extension(109 ^ 6,bind([[_25495, _25497], [empty_set, 154 ^ []]]))).
% 0.34/1.37 ncf('1.2.1.1',plain,[154 ^ [] = empty_set, not_equal(154 ^ [], empty_set)],extension(124 ^ 7,bind([[_26056, _26058], [empty_set, 154 ^ []]]))).
% 0.34/1.37 ncf('1.2.1.1.1',plain,[-(not_equal(154 ^ [], empty_set))],extension(162 ^ 8)).
% 0.34/1.37 ncf('1.2.1.2',plain,[member(110 ^ [empty_set, 154 ^ []], empty_set)],extension(91 ^ 9,bind([[_24842], [110 ^ [empty_set, 154 ^ []]]]))).
% 0.34/1.37 ncf('1.2.2',plain,[-(member(110 ^ [empty_set, 154 ^ []], 154 ^ []))],lemmata('[1].x')).
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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