TSTP Solution File: SET908+1 by nanoCoP---2.0
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%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET908+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.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 : 300s
% DateTime : Fri May 19 11:56:38 EDT 2023
% Result : Theorem 4.67s 5.59s
% Output : Proof 4.67s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET908+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n018.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 : 300
% 0.13/0.35 % DateTime : Thu May 18 19:16:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.67/5.59
% 4.67/5.59 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 4.67/5.59 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.67/5.59 %-----------------------------------------------------
% 4.67/5.59 ncf(matrix, plain, [(179 ^ _27397) ^ [] : [-(set_union2(singleton(176 ^ []), 177 ^ []) = empty_set)], (54 ^ _27397) ^ [_29231, _29233] : [_29233 = _29231, -(singleton(_29233) = singleton(_29231))], (44 ^ _27397) ^ [_28920, _28922, _28924, _28926] : [-(set_union2(_28926, _28922) = set_union2(_28924, _28920)), _28926 = _28924, _28922 = _28920], (2 ^ _27397) ^ [_27541] : [-(_27541 = _27541)], (4 ^ _27397) ^ [_27648, _27650] : [_27650 = _27648, -(_27648 = _27650)], (10 ^ _27397) ^ [_27852, _27854, _27856] : [-(_27856 = _27852), _27856 = _27854, _27854 = _27852], (34 ^ _27397) ^ [_28589, _28591] : [-(empty(_28589)), _28591 = _28589, empty(_28591)], (20 ^ _27397) ^ [_28193, _28195, _28197, _28199] : [-(in(_28197, _28193)), in(_28199, _28195), _28199 = _28197, _28195 = _28193], (60 ^ _27397) ^ [_29455, _29457] : [in(_29457, _29455), in(_29455, _29457)], (66 ^ _27397) ^ [_29651, _29653] : [-(set_union2(_29653, _29651) = set_union2(_29651, _29653))], (84 ^ _27397) ^ [_30316, _30318] : [-(_30316 = singleton(_30318)), 88 ^ _27397 : [(89 ^ _27397) ^ [] : [-(in(85 ^ [_30316, _30318], _30316))], (91 ^ _27397) ^ [] : [85 ^ [_30316, _30318] = _30318]], 92 ^ _27397 : [(93 ^ _27397) ^ [] : [-(85 ^ [_30316, _30318] = _30318)], (95 ^ _27397) ^ [] : [in(85 ^ [_30316, _30318], _30316)]]], (68 ^ _27397) ^ [_29795, _29797] : [_29795 = singleton(_29797), 71 ^ _27397 : [(72 ^ _27397) ^ [_29965] : [in(_29965, _29795), -(_29965 = _29797)], (78 ^ _27397) ^ [_30137] : [_30137 = _29797, -(in(_30137, _29795))]]], (99 ^ _27397) ^ [_30867] : [_30867 = empty_set, 102 ^ _27397 : [(103 ^ _27397) ^ [_30980] : [in(_30980, _30867)]]], (105 ^ _27397) ^ [_31046] : [-(in(106 ^ [_31046], _31046)), -(_31046 = empty_set)], (155 ^ _27397) ^ [] : [-(empty(empty_set))], (157 ^ _27397) ^ [_32880, _32882] : [-(empty(_32882)), empty(set_union2(_32882, _32880))], (169 ^ _27397) ^ [_33297, _33299] : [-(set_union2(_33299, _33299) = _33299)], (172 ^ _27397) ^ [] : [-(empty(170 ^ []))], (175 ^ _27397) ^ [] : [empty(173 ^ [])], (163 ^ _27397) ^ [_33096, _33098] : [-(empty(_33098)), empty(set_union2(_33096, _33098))], (134 ^ _27397) ^ [_32076, _32078, _32080] : [-(_32076 = set_union2(_32080, _32078)), 138 ^ _27397 : [(139 ^ _27397) ^ [] : [-(in(135 ^ [_32076, _32078, _32080], _32076))], (141 ^ _27397) ^ [] : [in(135 ^ [_32076, _32078, _32080], _32080)], (143 ^ _27397) ^ [] : [in(135 ^ [_32076, _32078, _32080], _32078)]], 144 ^ _27397 : [(151 ^ _27397) ^ [] : [in(135 ^ [_32076, _32078, _32080], _32076)], (145 ^ _27397) ^ [] : [-(in(135 ^ [_32076, _32078, _32080], _32080)), -(in(135 ^ [_32076, _32078, _32080], _32078))]]], (112 ^ _27397) ^ [_31351, _31353, _31355] : [_31351 = set_union2(_31355, _31353), 115 ^ _27397 : [(126 ^ _27397) ^ [_31811] : [127 ^ _27397 : [(128 ^ _27397) ^ [] : [in(_31811, _31355)], (130 ^ _27397) ^ [] : [in(_31811, _31353)]], -(in(_31811, _31351))], (116 ^ _27397) ^ [_31533] : [in(_31533, _31351), -(in(_31533, _31355)), -(in(_31533, _31353))]]]], input).
% 4.67/5.59 ncf('1',plain,[set_union2(singleton(176 ^ []), 177 ^ []) = empty_set, 103 : in(85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])], set_union2(singleton(176 ^ []), 177 ^ []))],start(99 ^ 0,bind([[_30867, _30980], [set_union2(singleton(176 ^ []), 177 ^ []), 85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])]]]))).
% 4.67/5.59 ncf('1.1',plain,[-(set_union2(singleton(176 ^ []), 177 ^ []) = empty_set)],extension(179 ^ 1)).
% 4.67/5.59 ncf('1.2',plain,[-(in(85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])], set_union2(singleton(176 ^ []), 177 ^ []))), -(set_union2(singleton(176 ^ []), 177 ^ []) = singleton(set_union2(singleton(176 ^ []), 177 ^ []))), 93 : -(85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])] = set_union2(singleton(176 ^ []), 177 ^ []))],extension(84 ^ 3,bind([[_30316, _30318], [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])]]))).
% 4.67/5.59 ncf('1.2.1',plain,[set_union2(singleton(176 ^ []), 177 ^ []) = singleton(set_union2(singleton(176 ^ []), 177 ^ [])), -(singleton(set_union2(singleton(176 ^ []), 177 ^ [])) = singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))))],extension(54 ^ 4,bind([[_29231, _29233], [singleton(set_union2(singleton(176 ^ []), 177 ^ [])), set_union2(singleton(176 ^ []), 177 ^ [])]]))).
% 4.67/5.59 ncf('1.2.1.1',plain,[singleton(set_union2(singleton(176 ^ []), 177 ^ [])) = singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), -(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))) = singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))))],extension(54 ^ 5,bind([[_29231, _29233], [singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), singleton(set_union2(singleton(176 ^ []), 177 ^ []))]]))).
% 4.67/5.59 ncf('1.2.1.1.1',plain,[singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))) = singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))), -(singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))) = singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))))],extension(4 ^ 6,bind([[_27648, _27650], [singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))]]))).
% 4.67/5.59 ncf('1.2.1.1.1.1',plain,[singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))) = singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), -(in(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))))), in(singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))) = singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))],extension(20 ^ 7,bind([[_28193, _28195, _28197, _28199], [singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))))]]))).
% 4.67/5.59 ncf('1.2.1.1.1.1.1',plain,[in(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))), in(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))))],extension(60 ^ 8,bind([[_29455, _29457], [singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))]]))).
% 4.67/5.59 ncf('1.2.1.1.1.1.1.1',plain,[-(in(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))))],reduction('1.2.1.1.1.1')).
% 4.67/5.59 ncf('1.2.1.1.1.1.2',plain,[-(in(singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))))), 78 : singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))) = singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), 78 : singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))) = singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))))],extension(68 ^ 8,bind([[_29795, _29797, _30137], [singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))), singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))))]]))).
% 4.67/5.59 ncf('1.2.1.1.1.1.2.1',plain,[-(singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))) = singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))))],reduction('1.2.1.1.1')).
% 4.67/5.59 ncf('1.2.1.1.1.1.2.2',plain,[-(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))) = singleton(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))))],reduction('1.2.1.1')).
% 4.67/5.59 ncf('1.2.1.1.1.1.3',plain,[-(singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))) = singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ []))))],extension(2 ^ 8,bind([[_27541], [singleton(singleton(set_union2(singleton(176 ^ []), 177 ^ [])))]]))).
% 4.67/5.59 ncf('1.2.2',plain,[85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])] = set_union2(singleton(176 ^ []), 177 ^ []), 128 : in(135 ^ [singleton(176 ^ []), 177 ^ [], singleton(176 ^ [])], singleton(176 ^ [])), 128 : -(in(135 ^ [singleton(176 ^ []), 177 ^ [], singleton(176 ^ [])], 85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])]))],extension(112 ^ 6,bind([[_31351, _31353, _31355, _31811], [85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])], 177 ^ [], singleton(176 ^ []), 135 ^ [singleton(176 ^ []), 177 ^ [], singleton(176 ^ [])]]]))).
% 4.67/5.59 ncf('1.2.2.1',plain,[-(in(135 ^ [singleton(176 ^ []), 177 ^ [], singleton(176 ^ [])], singleton(176 ^ []))), -(singleton(176 ^ []) = set_union2(singleton(176 ^ []), 177 ^ [])), 145 : -(in(135 ^ [singleton(176 ^ []), 177 ^ [], singleton(176 ^ [])], singleton(176 ^ []))), 145 : -(in(135 ^ [singleton(176 ^ []), 177 ^ [], singleton(176 ^ [])], 177 ^ []))],extension(134 ^ 11,bind([[_32076, _32078, _32080], [singleton(176 ^ []), 177 ^ [], singleton(176 ^ [])]]))).
% 4.67/5.59 ncf('1.2.2.1.1',plain,[singleton(176 ^ []) = set_union2(singleton(176 ^ []), 177 ^ []), -(set_union2(singleton(176 ^ []), 177 ^ []) = singleton(176 ^ []))],extension(4 ^ 12,bind([[_27648, _27650], [set_union2(singleton(176 ^ []), 177 ^ []), singleton(176 ^ [])]]))).
% 4.67/5.59 ncf('1.2.2.1.1.1',plain,[set_union2(singleton(176 ^ []), 177 ^ []) = singleton(176 ^ []), 78 : 176 ^ [] = 176 ^ [], 78 : -(in(176 ^ [], set_union2(singleton(176 ^ []), 177 ^ [])))],extension(68 ^ 13,bind([[_29795, _29797, _30137], [set_union2(singleton(176 ^ []), 177 ^ []), 176 ^ [], 176 ^ []]]))).
% 4.67/5.59 ncf('1.2.2.1.1.1.1',plain,[-(176 ^ [] = 176 ^ [])],extension(2 ^ 16,bind([[_27541], [176 ^ []]]))).
% 4.67/5.59 ncf('1.2.2.1.1.1.2',plain,[in(176 ^ [], set_union2(singleton(176 ^ []), 177 ^ []))],extension(103 ^ 16,bind([[_30980], [176 ^ []]]))).
% 4.67/5.59 ncf('1.2.2.1.2',plain,[in(135 ^ [singleton(176 ^ []), 177 ^ [], singleton(176 ^ [])], singleton(176 ^ []))],reduction('1.2.2')).
% 4.67/5.59 ncf('1.2.2.1.3',plain,[in(135 ^ [singleton(176 ^ []), 177 ^ [], singleton(176 ^ [])], 177 ^ [])],extension(130 ^ 14)).
% 4.67/5.59 ncf('1.2.2.2',plain,[in(135 ^ [singleton(176 ^ []), 177 ^ [], singleton(176 ^ [])], 85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])]), 85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])] = empty_set],extension(99 ^ 9,bind([[_30867, _30980], [85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])], 135 ^ [singleton(176 ^ []), 177 ^ [], singleton(176 ^ [])]]]))).
% 4.67/5.59 ncf('1.2.2.2.1',plain,[-(85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])] = empty_set), 85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])] = set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ []) = empty_set],extension(10 ^ 10,bind([[_27852, _27854, _27856], [empty_set, set_union2(singleton(176 ^ []), 177 ^ []), 85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])]]]))).
% 4.67/5.59 ncf('1.2.2.2.1.1',plain,[-(85 ^ [set_union2(singleton(176 ^ []), 177 ^ []), set_union2(singleton(176 ^ []), 177 ^ [])] = set_union2(singleton(176 ^ []), 177 ^ []))],reduction('1.2')).
% 4.67/5.59 ncf('1.2.2.2.1.2',plain,[-(set_union2(singleton(176 ^ []), 177 ^ []) = empty_set)],lemmata('x')).
% 4.67/5.59 %-----------------------------------------------------
% 4.67/5.59 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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