TSTP Solution File: SET587+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET587+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n002.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 11:56:02 EDT 2023
% Result : Theorem 1.61s 2.42s
% Output : Proof 1.61s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET587+3 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n002.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 19:03:34 EDT 2023
% 0.12/0.33 % CPUTime :
% 1.61/2.42
% 1.61/2.42 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.61/2.42 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.61/2.42 %-----------------------------------------------------
% 1.61/2.42 ncf(matrix, plain, [(188 ^ _28888) ^ [] : [189 ^ _28888 : [(190 ^ _28888) ^ [] : [-(difference(185 ^ [], 186 ^ []) = empty_set)], (192 ^ _28888) ^ [] : [subset(185 ^ [], 186 ^ [])]], 193 ^ _28888 : [(194 ^ _28888) ^ [] : [-(subset(185 ^ [], 186 ^ []))], (196 ^ _28888) ^ [] : [difference(185 ^ [], 186 ^ []) = empty_set]]], (58 ^ _28888) ^ [_30837, _30839, _30841, _30843] : [-(difference(_30843, _30839) = difference(_30841, _30837)), _30843 = _30841, _30839 = _30837], (2 ^ _28888) ^ [_29032] : [-(_29032 = _29032)], (4 ^ _28888) ^ [_29139, _29141] : [_29141 = _29139, -(_29139 = _29141)], (10 ^ _28888) ^ [_29343, _29345, _29347] : [-(_29347 = _29343), _29347 = _29345, _29345 = _29343], (20 ^ _28888) ^ [_29656, _29658] : [-(empty(_29656)), _29658 = _29656, empty(_29658)], (30 ^ _28888) ^ [_29979, _29981, _29983, _29985] : [-(member(_29983, _29979)), member(_29985, _29981), _29985 = _29983, _29981 = _29979], (44 ^ _28888) ^ [_30403, _30405, _30407, _30409] : [-(subset(_30407, _30403)), subset(_30409, _30405), _30409 = _30407, _30405 = _30403], (68 ^ _28888) ^ [_31170, _31172] : [-(_31172 = _31170), 72 ^ _28888 : [(73 ^ _28888) ^ [] : [-(member(69 ^ [_31170, _31172], _31172))], (75 ^ _28888) ^ [] : [member(69 ^ [_31170, _31172], _31170)]], 76 ^ _28888 : [(77 ^ _28888) ^ [] : [-(member(69 ^ [_31170, _31172], _31170))], (79 ^ _28888) ^ [] : [member(69 ^ [_31170, _31172], _31172)]]], (83 ^ _28888) ^ [_31743, _31745, _31747] : [member(_31743, difference(_31747, _31745)), 86 ^ _28888 : [(87 ^ _28888) ^ [] : [-(member(_31743, _31747))], (89 ^ _28888) ^ [] : [member(_31743, _31745)]]], (91 ^ _28888) ^ [_31995, _31997, _31999] : [-(member(_31995, difference(_31999, _31997))), member(_31995, _31999), -(member(_31995, _31997))], (101 ^ _28888) ^ [_32285] : [member(_32285, empty_set)], (113 ^ _28888) ^ [_32735, _32737] : [115 ^ _28888 : [(116 ^ _28888) ^ [] : [-(member(114 ^ [_32735, _32737], _32737))], (118 ^ _28888) ^ [] : [member(114 ^ [_32735, _32737], _32735)]], -(subset(_32737, _32735))], (103 ^ _28888) ^ [_32421, _32423] : [subset(_32423, _32421), 106 ^ _28888 : [(107 ^ _28888) ^ [_32558] : [member(_32558, _32423), -(member(_32558, _32421))]]], (122 ^ _28888) ^ [_33121, _33123] : [_33123 = _33121, 125 ^ _28888 : [(126 ^ _28888) ^ [] : [-(subset(_33123, _33121))], (128 ^ _28888) ^ [] : [-(subset(_33121, _33123))]]], (130 ^ _28888) ^ [_33358, _33360] : [-(_33360 = _33358), subset(_33360, _33358), subset(_33358, _33360)], (171 ^ _28888) ^ [_34708] : [-(subset(_34708, _34708))], (173 ^ _28888) ^ [_34810] : [empty(_34810), 176 ^ _28888 : [(177 ^ _28888) ^ [_34921] : [member(_34921, _34810)]]], (179 ^ _28888) ^ [_34987] : [-(member(180 ^ [_34987], _34987)), -(empty(_34987))], (156 ^ _28888) ^ [_34205, _34207] : [-(_34207 = _34205), 160 ^ _28888 : [(161 ^ _28888) ^ [] : [-(member(157 ^ [_34205, _34207], _34207))], (163 ^ _28888) ^ [] : [member(157 ^ [_34205, _34207], _34205)]], 164 ^ _28888 : [(165 ^ _28888) ^ [] : [-(member(157 ^ [_34205, _34207], _34205))], (167 ^ _28888) ^ [] : [member(157 ^ [_34205, _34207], _34207)]]], (140 ^ _28888) ^ [_33688, _33690] : [_33690 = _33688, 143 ^ _28888 : [(144 ^ _28888) ^ [_33854] : [member(_33854, _33690), -(member(_33854, _33688))], (150 ^ _28888) ^ [_34026] : [member(_34026, _33688), -(member(_34026, _33690))]]]], input).
% 1.61/2.42 ncf('1',plain,[member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], difference(185 ^ [], 186 ^ [])), 89 : member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 186 ^ [])],start(83 ^ 0,bind([[_31743, _31745, _31747], [69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 186 ^ [], 185 ^ []]]))).
% 1.61/2.42 ncf('1.1',plain,[-(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], difference(185 ^ [], 186 ^ []))), -(difference(185 ^ [], 186 ^ []) = empty_set), 77 : -(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], empty_set))],extension(68 ^ 1,bind([[_31170, _31172], [empty_set, difference(185 ^ [], 186 ^ [])]]))).
% 1.61/2.42 ncf('1.1.1',plain,[difference(185 ^ [], 186 ^ []) = empty_set, -(empty_set = difference(185 ^ [], 186 ^ []))],extension(4 ^ 2,bind([[_29139, _29141], [empty_set, difference(185 ^ [], 186 ^ [])]]))).
% 1.61/2.42 ncf('1.1.1.1',plain,[empty_set = difference(185 ^ [], 186 ^ []), 150 : member(114 ^ [186 ^ [], 185 ^ []], difference(185 ^ [], 186 ^ [])), 150 : -(member(114 ^ [186 ^ [], 185 ^ []], empty_set))],extension(140 ^ 3,bind([[_33688, _33690, _34026], [difference(185 ^ [], 186 ^ []), empty_set, 114 ^ [186 ^ [], 185 ^ []]]]))).
% 1.61/2.42 ncf('1.1.1.1.1',plain,[-(member(114 ^ [186 ^ [], 185 ^ []], difference(185 ^ [], 186 ^ []))), member(114 ^ [186 ^ [], 185 ^ []], 185 ^ []), -(member(114 ^ [186 ^ [], 185 ^ []], 186 ^ []))],extension(91 ^ 6,bind([[_31995, _31997, _31999], [114 ^ [186 ^ [], 185 ^ []], 186 ^ [], 185 ^ []]]))).
% 1.61/2.42 ncf('1.1.1.1.1.1',plain,[-(member(114 ^ [186 ^ [], 185 ^ []], 185 ^ [])), -(subset(185 ^ [], 186 ^ []))],extension(113 ^ 7,bind([[_32735, _32737], [186 ^ [], 185 ^ []]]))).
% 1.61/2.42 ncf('1.1.1.1.1.1.1',plain,[subset(185 ^ [], 186 ^ []), 196 : difference(185 ^ [], 186 ^ []) = empty_set],extension(188 ^ 8)).
% 1.61/2.42 ncf('1.1.1.1.1.1.1.1',plain,[-(difference(185 ^ [], 186 ^ []) = empty_set)],reduction('1.1')).
% 1.61/2.42 ncf('1.1.1.1.1.2',plain,[member(114 ^ [186 ^ [], 185 ^ []], 186 ^ []), -(subset(185 ^ [], 186 ^ []))],extension(113 ^ 7,bind([[_32735, _32737], [186 ^ [], 185 ^ []]]))).
% 1.61/2.42 ncf('1.1.1.1.1.2.1',plain,[subset(185 ^ [], 186 ^ []), 196 : difference(185 ^ [], 186 ^ []) = empty_set],extension(188 ^ 8)).
% 1.61/2.42 ncf('1.1.1.1.1.2.1.1',plain,[-(difference(185 ^ [], 186 ^ []) = empty_set)],reduction('1.1')).
% 1.61/2.42 ncf('1.1.1.1.2',plain,[member(114 ^ [186 ^ [], 185 ^ []], empty_set)],extension(101 ^ 6,bind([[_32285], [114 ^ [186 ^ [], 185 ^ []]]]))).
% 1.61/2.42 ncf('1.1.2',plain,[member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], empty_set), member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], difference(_19924, empty_set))],extension(83 ^ 4,bind([[_31743, _31745, _31747], [69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], empty_set, _19924]]))).
% 1.61/2.42 ncf('1.1.2.1',plain,[-(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], difference(_19924, empty_set))), 107 : member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], empty_set), 107 : subset(empty_set, difference(_19924, empty_set))],extension(103 ^ 5,bind([[_32421, _32423, _32558], [difference(_19924, empty_set), empty_set, 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]]]))).
% 1.61/2.42 ncf('1.1.2.1.1',plain,[-(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], empty_set))],reduction('1.1')).
% 1.61/2.42 ncf('1.1.2.1.2',plain,[-(subset(empty_set, difference(_19924, empty_set))), 116 : -(member(114 ^ [difference(_19924, empty_set), empty_set], empty_set))],extension(113 ^ 6,bind([[_32735, _32737], [difference(_19924, empty_set), empty_set]]))).
% 1.61/2.42 ncf('1.1.2.1.2.1',plain,[member(114 ^ [difference(_19924, empty_set), empty_set], empty_set)],extension(101 ^ 9,bind([[_32285], [114 ^ [difference(_19924, empty_set), empty_set]]]))).
% 1.61/2.42 ncf('1.2',plain,[-(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 186 ^ [])), 107 : member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ []), 107 : subset(185 ^ [], 186 ^ [])],extension(103 ^ 3,bind([[_32421, _32423, _32558], [186 ^ [], 185 ^ [], 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]]]))).
% 1.61/2.42 ncf('1.2.1',plain,[-(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ [])), member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ []), 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])] = 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ [] = 185 ^ []],extension(30 ^ 6,bind([[_29979, _29981, _29983, _29985], [185 ^ [], 185 ^ [], 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]]]))).
% 1.61/2.42 ncf('1.2.1.1',plain,[-(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ [])), member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ []), 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])] = 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ [] = 185 ^ []],extension(30 ^ 7,bind([[_29979, _29981, _29983, _29985], [185 ^ [], 185 ^ [], 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]]]))).
% 1.61/2.42 ncf('1.2.1.1.1',plain,[-(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ [])), member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ []), 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])] = 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ [] = 185 ^ []],extension(30 ^ 8,bind([[_29979, _29981, _29983, _29985], [185 ^ [], 185 ^ [], 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]]]))).
% 1.61/2.42 ncf('1.2.1.1.1.1',plain,[-(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ []))],extension(87 ^ 9)).
% 1.61/2.42 ncf('1.2.1.1.1.2',plain,[-(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])] = 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])])],extension(2 ^ 9,bind([[_29032], [69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]]]))).
% 1.61/2.42 ncf('1.2.1.1.1.3',plain,[-(185 ^ [] = 185 ^ [])],extension(2 ^ 9,bind([[_29032], [185 ^ []]]))).
% 1.61/2.42 ncf('1.2.1.1.2',plain,[-(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])] = 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])])],extension(2 ^ 8,bind([[_29032], [69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]]]))).
% 1.61/2.42 ncf('1.2.1.1.3',plain,[-(185 ^ [] = 185 ^ [])],extension(2 ^ 8,bind([[_29032], [185 ^ []]]))).
% 1.61/2.42 ncf('1.2.1.2',plain,[-(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])] = 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])])],extension(2 ^ 7,bind([[_29032], [69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]]]))).
% 1.61/2.42 ncf('1.2.1.3',plain,[-(185 ^ [] = 185 ^ [])],extension(2 ^ 7,bind([[_29032], [185 ^ []]]))).
% 1.61/2.42 ncf('1.2.2',plain,[-(subset(185 ^ [], 186 ^ [])), 190 : -(difference(185 ^ [], 186 ^ []) = empty_set)],extension(188 ^ 4)).
% 1.61/2.42 ncf('1.2.2.1',plain,[difference(185 ^ [], 186 ^ []) = empty_set, -(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], empty_set)), member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], difference(185 ^ [], 186 ^ [])), 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])] = 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]],extension(30 ^ 7,bind([[_29979, _29981, _29983, _29985], [empty_set, difference(185 ^ [], 186 ^ []), 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]]]))).
% 1.61/2.42 ncf('1.2.2.1.1',plain,[member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], empty_set)],extension(101 ^ 8,bind([[_32285], [69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]]]))).
% 1.61/2.42 ncf('1.2.2.1.2',plain,[-(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], difference(185 ^ [], 186 ^ []))), member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ []), -(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 186 ^ []))],extension(91 ^ 8,bind([[_31995, _31997, _31999], [69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 186 ^ [], 185 ^ []]]))).
% 1.61/2.42 ncf('1.2.2.1.2.1',plain,[-(member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 185 ^ []))],extension(87 ^ 9)).
% 1.61/2.42 ncf('1.2.2.1.2.2',plain,[member(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])], 186 ^ [])],reduction('1')).
% 1.61/2.42 ncf('1.2.2.1.3',plain,[-(69 ^ [empty_set, difference(185 ^ [], 186 ^ [])] = 69 ^ [empty_set, difference(185 ^ [], 186 ^ [])])],extension(2 ^ 8,bind([[_29032], [69 ^ [empty_set, difference(185 ^ [], 186 ^ [])]]]))).
% 1.61/2.42 %-----------------------------------------------------
% 1.61/2.42 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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