TSTP Solution File: SET014+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET014+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n005.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 11:55:04 EDT 2023
% Result : Theorem 0.58s 1.37s
% Output : Proof 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET014+4 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n005.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 19:19:53 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.58/1.37
% 0.58/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.58/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/1.37 %-----------------------------------------------------
% 0.58/1.37 ncf(matrix, plain, [(302 ^ _44841) ^ [] : [303 ^ _44841 : [(304 ^ _44841) ^ [] : [-(subset(299 ^ [], 298 ^ []))], (306 ^ _44841) ^ [] : [-(subset(300 ^ [], 298 ^ []))], (308 ^ _44841) ^ [] : [subset(union(299 ^ [], 300 ^ []), 298 ^ [])]], 309 ^ _44841 : [(310 ^ _44841) ^ [] : [-(subset(union(299 ^ [], 300 ^ []), 298 ^ []))], (312 ^ _44841) ^ [] : [subset(299 ^ [], 298 ^ []), subset(300 ^ [], 298 ^ [])]]], (2 ^ _44841) ^ [_44985] : [-(_44985 = _44985)], (4 ^ _44841) ^ [_45092, _45094] : [_45094 = _45092, -(_45092 = _45094)], (10 ^ _44841) ^ [_45296, _45298, _45300] : [-(_45300 = _45296), _45300 = _45298, _45298 = _45296], (20 ^ _44841) ^ [_45637, _45639, _45641, _45643] : [-(equal_set(_45641, _45637)), equal_set(_45643, _45639), _45643 = _45641, _45639 = _45637], (34 ^ _44841) ^ [_46081, _46083, _46085, _46087] : [-(member(_46085, _46081)), member(_46087, _46083), _46087 = _46085, _46083 = _46081], (48 ^ _44841) ^ [_46505, _46507, _46509, _46511] : [-(subset(_46509, _46505)), subset(_46511, _46507), _46511 = _46509, _46507 = _46505], (62 ^ _44841) ^ [_46931, _46933] : [_46933 = _46931, -(power_set(_46933) = power_set(_46931))], (68 ^ _44841) ^ [_47177, _47179, _47181, _47183] : [-(intersection(_47183, _47179) = intersection(_47181, _47177)), _47183 = _47181, _47179 = _47177], (78 ^ _44841) ^ [_47536, _47538, _47540, _47542] : [-(difference(_47542, _47538) = difference(_47540, _47536)), _47542 = _47540, _47538 = _47536], (88 ^ _44841) ^ [_47867, _47869] : [_47869 = _47867, -(singleton(_47869) = singleton(_47867))], (94 ^ _44841) ^ [_48113, _48115, _48117, _48119] : [-(unordered_pair(_48119, _48115) = unordered_pair(_48117, _48113)), _48119 = _48117, _48115 = _48113], (104 ^ _44841) ^ [_48444, _48446] : [_48446 = _48444, -(sum(_48446) = sum(_48444))], (110 ^ _44841) ^ [_48662, _48664] : [_48664 = _48662, -(product(_48664) = product(_48662))], (116 ^ _44841) ^ [_48888, _48890, _48892, _48894] : [-(union(_48894, _48890) = union(_48892, _48888)), _48894 = _48892, _48890 = _48888], (136 ^ _44841) ^ [_49588, _49590] : [138 ^ _44841 : [(139 ^ _44841) ^ [] : [-(member(137 ^ [_49588, _49590], _49590))], (141 ^ _44841) ^ [] : [member(137 ^ [_49588, _49590], _49588)]], -(subset(_49590, _49588))], (126 ^ _44841) ^ [_49274, _49276] : [subset(_49276, _49274), 129 ^ _44841 : [(130 ^ _44841) ^ [_49411] : [member(_49411, _49276), -(member(_49411, _49274))]]], (145 ^ _44841) ^ [_49974, _49976] : [equal_set(_49976, _49974), 148 ^ _44841 : [(149 ^ _44841) ^ [] : [-(subset(_49976, _49974))], (151 ^ _44841) ^ [] : [-(subset(_49974, _49976))]]], (153 ^ _44841) ^ [_50211, _50213] : [-(equal_set(_50213, _50211)), subset(_50213, _50211), subset(_50211, _50213)], (163 ^ _44841) ^ [_50541, _50543] : [member(_50543, power_set(_50541)), -(subset(_50543, _50541))], (169 ^ _44841) ^ [_50707, _50709] : [subset(_50709, _50707), -(member(_50709, power_set(_50707)))], (175 ^ _44841) ^ [_50966, _50968, _50970] : [member(_50970, intersection(_50968, _50966)), 178 ^ _44841 : [(179 ^ _44841) ^ [] : [-(member(_50970, _50968))], (181 ^ _44841) ^ [] : [-(member(_50970, _50966))]]], (183 ^ _44841) ^ [_51217, _51219, _51221] : [-(member(_51221, intersection(_51219, _51217))), member(_51221, _51219), member(_51221, _51217)], (203 ^ _44841) ^ [_51845, _51847, _51849] : [204 ^ _44841 : [(205 ^ _44841) ^ [] : [member(_51849, _51847)], (207 ^ _44841) ^ [] : [member(_51849, _51845)]], -(member(_51849, union(_51847, _51845)))], (193 ^ _44841) ^ [_51577, _51579, _51581] : [member(_51581, union(_51579, _51577)), -(member(_51581, _51579)), -(member(_51581, _51577))], (211 ^ _44841) ^ [_52115] : [member(_52115, empty_set)], (213 ^ _44841) ^ [_52265, _52267, _52269] : [member(_52269, difference(_52265, _52267)), 216 ^ _44841 : [(217 ^ _44841) ^ [] : [-(member(_52269, _52265))], (219 ^ _44841) ^ [] : [member(_52269, _52267)]]], (221 ^ _44841) ^ [_52517, _52519, _52521] : [-(member(_52521, difference(_52517, _52519))), member(_52521, _52517), -(member(_52521, _52519))], (231 ^ _44841) ^ [_52866, _52868] : [member(_52868, singleton(_52866)), -(_52868 = _52866)], (237 ^ _44841) ^ [_53032, _53034] : [_53034 = _53032, -(member(_53034, singleton(_53032)))], (253 ^ _44841) ^ [_53559, _53561, _53563] : [254 ^ _44841 : [(255 ^ _44841) ^ [] : [_53563 = _53561], (257 ^ _44841) ^ [] : [_53563 = _53559]], -(member(_53563, unordered_pair(_53561, _53559)))], (243 ^ _44841) ^ [_53291, _53293, _53295] : [member(_53295, unordered_pair(_53293, _53291)), -(_53295 = _53293), -(_53295 = _53291)], (261 ^ _44841) ^ [_53888, _53890] : [member(_53890, sum(_53888)), 265 ^ _44841 : [(266 ^ _44841) ^ [] : [-(member(264 ^ [_53888, _53890], _53888))], (268 ^ _44841) ^ [] : [-(member(_53890, 264 ^ [_53888, _53890]))]]], (270 ^ _44841) ^ [_54199, _54201] : [-(member(_54201, sum(_54199))), 271 ^ _44841 : [(272 ^ _44841) ^ [_54293] : [member(_54293, _54199), member(_54201, _54293)]]], (290 ^ _44841) ^ [_54894, _54896] : [292 ^ _44841 : [(293 ^ _44841) ^ [] : [-(member(291 ^ [_54894, _54896], _54894))], (295 ^ _44841) ^ [] : [member(_54896, 291 ^ [_54894, _54896])]], -(member(_54896, product(_54894)))], (280 ^ _44841) ^ [_54576, _54578] : [member(_54578, product(_54576)), 283 ^ _44841 : [(284 ^ _44841) ^ [_54717] : [member(_54717, _54576), -(member(_54578, _54717))]]]], input).
% 0.58/1.37 ncf('1',plain,[308 : subset(union(299 ^ [], 300 ^ []), 298 ^ []), 312 : subset(299 ^ [], 298 ^ []), 312 : subset(300 ^ [], 298 ^ [])],start(302 ^ 0)).
% 0.58/1.37 ncf('1.1',plain,[-(subset(union(299 ^ [], 300 ^ []), 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])], union(299 ^ [], 300 ^ [])))],extension(136 ^ 3,bind([[_49588, _49590], [298 ^ [], union(299 ^ [], 300 ^ [])]]))).
% 0.58/1.37 ncf('1.1.1',plain,[member(137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])], union(299 ^ [], 300 ^ [])), -(member(137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])], 299 ^ [])), -(member(137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])], 300 ^ []))],extension(193 ^ 6,bind([[_51577, _51579, _51581], [300 ^ [], 299 ^ [], 137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])]]]))).
% 0.58/1.37 ncf('1.1.1.1',plain,[member(137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])], 299 ^ []), 130 : -(member(137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])], 298 ^ [])), 130 : subset(299 ^ [], 298 ^ [])],extension(126 ^ 7,bind([[_49274, _49276, _49411], [298 ^ [], 299 ^ [], 137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])]]]))).
% 0.58/1.37 ncf('1.1.1.1.1',plain,[member(137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])], 298 ^ [])],extension(141 ^ 10)).
% 0.58/1.37 ncf('1.1.1.1.2',plain,[-(subset(299 ^ [], 298 ^ []))],extension(304 ^ 8)).
% 0.58/1.37 ncf('1.1.1.2',plain,[member(137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])], 300 ^ []), 130 : -(member(137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])], 298 ^ [])), 130 : subset(300 ^ [], 298 ^ [])],extension(126 ^ 7,bind([[_49274, _49276, _49411], [298 ^ [], 300 ^ [], 137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])]]]))).
% 0.58/1.37 ncf('1.1.1.2.1',plain,[member(137 ^ [298 ^ [], union(299 ^ [], 300 ^ [])], 298 ^ [])],extension(141 ^ 10)).
% 0.58/1.37 ncf('1.1.1.2.2',plain,[-(subset(300 ^ [], 298 ^ []))],extension(306 ^ 8)).
% 0.58/1.37 ncf('1.2',plain,[-(subset(299 ^ [], 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], 299 ^ []], 299 ^ []))],extension(136 ^ 3,bind([[_49588, _49590], [298 ^ [], 299 ^ []]]))).
% 0.58/1.37 ncf('1.2.1',plain,[member(137 ^ [298 ^ [], 299 ^ []], 299 ^ []), -(member(137 ^ [298 ^ [], 299 ^ []], union(299 ^ [], 300 ^ [])))],extension(203 ^ 6,bind([[_51845, _51847, _51849], [300 ^ [], 299 ^ [], 137 ^ [298 ^ [], 299 ^ []]]]))).
% 0.58/1.37 ncf('1.2.1.1',plain,[member(137 ^ [298 ^ [], 299 ^ []], union(299 ^ [], 300 ^ [])), 130 : -(member(137 ^ [298 ^ [], 299 ^ []], 298 ^ [])), 130 : subset(union(299 ^ [], 300 ^ []), 298 ^ [])],extension(126 ^ 7,bind([[_49274, _49276, _49411], [298 ^ [], union(299 ^ [], 300 ^ []), 137 ^ [298 ^ [], 299 ^ []]]]))).
% 0.58/1.37 ncf('1.2.1.1.1',plain,[member(137 ^ [298 ^ [], 299 ^ []], 298 ^ [])],extension(141 ^ 10)).
% 0.58/1.37 ncf('1.2.1.1.2',plain,[-(subset(union(299 ^ [], 300 ^ []), 298 ^ []))],extension(310 ^ 8)).
% 0.58/1.37 ncf('1.3',plain,[-(subset(300 ^ [], 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], 300 ^ []], 300 ^ []))],extension(136 ^ 3,bind([[_49588, _49590], [298 ^ [], 300 ^ []]]))).
% 0.58/1.37 ncf('1.3.1',plain,[member(137 ^ [298 ^ [], 300 ^ []], 300 ^ []), -(member(137 ^ [298 ^ [], 300 ^ []], union(299 ^ [], 300 ^ [])))],extension(203 ^ 6,bind([[_51845, _51847, _51849], [300 ^ [], 299 ^ [], 137 ^ [298 ^ [], 300 ^ []]]]))).
% 0.58/1.37 ncf('1.3.1.1',plain,[member(137 ^ [298 ^ [], 300 ^ []], union(299 ^ [], 300 ^ [])), 130 : -(member(137 ^ [298 ^ [], 300 ^ []], 298 ^ [])), 130 : subset(union(299 ^ [], 300 ^ []), 298 ^ [])],extension(126 ^ 7,bind([[_49274, _49276, _49411], [298 ^ [], union(299 ^ [], 300 ^ []), 137 ^ [298 ^ [], 300 ^ []]]]))).
% 0.58/1.37 ncf('1.3.1.1.1',plain,[member(137 ^ [298 ^ [], 300 ^ []], 298 ^ [])],extension(141 ^ 10)).
% 0.58/1.37 ncf('1.3.1.1.2',plain,[-(subset(union(299 ^ [], 300 ^ []), 298 ^ []))],extension(310 ^ 8)).
% 0.58/1.37 %-----------------------------------------------------
% 0.58/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------