TSTP Solution File: SEU124+2 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU124+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 12:02:16 EDT 2023

% Result   : Theorem 0.39s 1.37s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU124+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n019.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 13:38:42 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.39/1.37  
% 0.39/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.39/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.37  %-----------------------------------------------------
% 0.39/1.37  ncf(matrix, plain, [(376 ^ _50534) ^ [] : [subset(373 ^ [], set_union2(373 ^ [], 374 ^ []))], (72 ^ _50534) ^ [_52949, _52951, _52953, _52955] : [-(set_intersection2(_52955, _52951) = set_intersection2(_52953, _52949)), _52955 = _52953, _52951 = _52949], (82 ^ _50534) ^ [_53288, _53290, _53292, _53294] : [-(set_union2(_53294, _53290) = set_union2(_53292, _53288)), _53294 = _53292, _53290 = _53288], (2 ^ _50534) ^ [_50678] : [-(_50678 = _50678)], (4 ^ _50534) ^ [_50785, _50787] : [_50787 = _50785, -(_50785 = _50787)], (10 ^ _50534) ^ [_50989, _50991, _50993] : [-(_50993 = _50989), _50993 = _50991, _50991 = _50989], (20 ^ _50534) ^ [_51330, _51332, _51334, _51336] : [-(disjoint(_51334, _51330)), disjoint(_51336, _51332), _51336 = _51334, _51332 = _51330], (34 ^ _50534) ^ [_51774, _51776, _51778, _51780] : [-(in(_51778, _51774)), in(_51780, _51776), _51780 = _51778, _51776 = _51774], (48 ^ _50534) ^ [_52190, _52192] : [-(empty(_52190)), _52192 = _52190, empty(_52192)], (58 ^ _50534) ^ [_52493, _52495, _52497, _52499] : [-(subset(_52497, _52493)), subset(_52499, _52495), _52499 = _52497, _52495 = _52493], (92 ^ _50534) ^ [_53625, _53627] : [in(_53627, _53625), in(_53625, _53627)], (98 ^ _50534) ^ [_53821, _53823] : [-(set_union2(_53823, _53821) = set_union2(_53821, _53823))], (100 ^ _50534) ^ [_53921, _53923] : [-(set_intersection2(_53923, _53921) = set_intersection2(_53921, _53923))], (102 ^ _50534) ^ [_54065, _54067] : [_54067 = _54065, 105 ^ _50534 : [(106 ^ _50534) ^ [] : [-(subset(_54067, _54065))], (108 ^ _50534) ^ [] : [-(subset(_54065, _54067))]]], (110 ^ _50534) ^ [_54302, _54304] : [-(_54304 = _54302), subset(_54304, _54302), subset(_54302, _54304)], (120 ^ _50534) ^ [_54618] : [_54618 = empty_set, 123 ^ _50534 : [(124 ^ _50534) ^ [_54731] : [in(_54731, _54618)]]], (126 ^ _50534) ^ [_54797] : [-(in(127 ^ [_54797], _54797)), -(_54797 = empty_set)], (155 ^ _50534) ^ [_55827, _55829, _55831] : [-(_55827 = set_union2(_55831, _55829)), 159 ^ _50534 : [(160 ^ _50534) ^ [] : [-(in(156 ^ [_55827, _55829, _55831], _55827))], (162 ^ _50534) ^ [] : [in(156 ^ [_55827, _55829, _55831], _55831)], (164 ^ _50534) ^ [] : [in(156 ^ [_55827, _55829, _55831], _55829)]], 165 ^ _50534 : [(172 ^ _50534) ^ [] : [in(156 ^ [_55827, _55829, _55831], _55827)], (166 ^ _50534) ^ [] : [-(in(156 ^ [_55827, _55829, _55831], _55831)), -(in(156 ^ [_55827, _55829, _55831], _55829))]]], (133 ^ _50534) ^ [_55102, _55104, _55106] : [_55102 = set_union2(_55106, _55104), 136 ^ _50534 : [(147 ^ _50534) ^ [_55562] : [148 ^ _50534 : [(149 ^ _50534) ^ [] : [in(_55562, _55106)], (151 ^ _50534) ^ [] : [in(_55562, _55104)]], -(in(_55562, _55102))], (137 ^ _50534) ^ [_55284] : [in(_55284, _55102), -(in(_55284, _55106)), -(in(_55284, _55104))]]], (186 ^ _50534) ^ [_56921, _56923] : [188 ^ _50534 : [(189 ^ _50534) ^ [] : [-(in(187 ^ [_56921, _56923], _56923))], (191 ^ _50534) ^ [] : [in(187 ^ [_56921, _56923], _56921)]], -(subset(_56923, _56921))], (176 ^ _50534) ^ [_56607, _56609] : [subset(_56609, _56607), 179 ^ _50534 : [(180 ^ _50534) ^ [_56744] : [in(_56744, _56609), -(in(_56744, _56607))]]], (217 ^ _50534) ^ [_58046, _58048, _58050] : [-(_58046 = set_intersection2(_58050, _58048)), 229 ^ _50534 : [(230 ^ _50534) ^ [] : [-(in(218 ^ [_58046, _58048, _58050], _58050))], (232 ^ _50534) ^ [] : [-(in(218 ^ [_58046, _58048, _58050], _58048))], (234 ^ _50534) ^ [] : [in(218 ^ [_58046, _58048, _58050], _58046)]], 221 ^ _50534 : [(222 ^ _50534) ^ [] : [-(in(218 ^ [_58046, _58048, _58050], _58046))], (224 ^ _50534) ^ [] : [in(218 ^ [_58046, _58048, _58050], _58050), in(218 ^ [_58046, _58048, _58050], _58048)]]], (195 ^ _50534) ^ [_57321, _57323, _57325] : [_57321 = set_intersection2(_57325, _57323), 198 ^ _50534 : [(199 ^ _50534) ^ [_57503] : [in(_57503, _57321), 202 ^ _50534 : [(203 ^ _50534) ^ [] : [-(in(_57503, _57325))], (205 ^ _50534) ^ [] : [-(in(_57503, _57323))]]], (207 ^ _50534) ^ [_57762] : [-(in(_57762, _57321)), in(_57762, _57325), in(_57762, _57323)]]], (238 ^ _50534) ^ [_58828, _58830] : [disjoint(_58830, _58828), -(set_intersection2(_58830, _58828) = empty_set)], (244 ^ _50534) ^ [_58996, _58998] : [set_intersection2(_58998, _58996) = empty_set, -(disjoint(_58998, _58996))], (250 ^ _50534) ^ [] : [true___, -(true___)], (256 ^ _50534) ^ [] : [true___, -(true___)], (262 ^ _50534) ^ [] : [true___, -(true___)], (268 ^ _50534) ^ [] : [-(empty(empty_set))], (270 ^ _50534) ^ [_59624, _59626] : [-(empty(_59626)), empty(set_union2(_59626, _59624))], (276 ^ _50534) ^ [_59840, _59842] : [-(empty(_59842)), empty(set_union2(_59840, _59842))], (282 ^ _50534) ^ [_60041, _60043] : [-(set_union2(_60043, _60043) = _60043)], (284 ^ _50534) ^ [_60138, _60140] : [-(set_intersection2(_60140, _60140) = _60140)], (287 ^ _50534) ^ [] : [-(empty(285 ^ []))], (290 ^ _50534) ^ [] : [empty(288 ^ [])], (292 ^ _50534) ^ [_60414, _60416] : [-(subset(_60416, _60416))], (294 ^ _50534) ^ [_60523, _60525] : [disjoint(_60525, _60523), -(disjoint(_60523, _60525))], (300 ^ _50534) ^ [_60704] : [-(set_union2(_60704, empty_set) = _60704)], (302 ^ _50534) ^ [_60828, _60830, _60832] : [-(subset(_60832, _60828)), subset(_60832, _60830), subset(_60830, _60828)], (312 ^ _50534) ^ [_61108] : [-(subset(empty_set, _61108))], (314 ^ _50534) ^ [_61235, _61237] : [-(disjoint(_61237, _61235)), 318 ^ _50534 : [(319 ^ _50534) ^ [] : [-(in(317 ^ [_61235, _61237], _61237))], (321 ^ _50534) ^ [] : [-(in(317 ^ [_61235, _61237], _61235))]]], (323 ^ _50534) ^ [_61549, _61551] : [disjoint(_61551, _61549), 324 ^ _50534 : [(325 ^ _50534) ^ [_61641] : [in(_61641, _61551), in(_61641, _61549)]]], (333 ^ _50534) ^ [_61898] : [subset(_61898, empty_set), -(_61898 = empty_set)], (339 ^ _50534) ^ [_62122, _62124] : [-(disjoint(_62124, _62122)), -(in(342 ^ [_62122, _62124], set_intersection2(_62124, _62122)))], (346 ^ _50534) ^ [_62357, _62359] : [347 ^ _50534 : [(348 ^ _50534) ^ [_62430] : [in(_62430, set_intersection2(_62359, _62357))]], disjoint(_62359, _62357)], (352 ^ _50534) ^ [_62582] : [empty(_62582), -(_62582 = empty_set)], (358 ^ _50534) ^ [_62784, _62786] : [in(_62786, _62784), empty(_62784)], (364 ^ _50534) ^ [_62971, _62973] : [empty(_62973), -(_62973 = _62971), empty(_62971)]], input).
% 0.39/1.37  ncf('1',plain,[subset(373 ^ [], set_union2(373 ^ [], 374 ^ []))],start(376 ^ 0)).
% 0.39/1.37  ncf('1.1',plain,[-(subset(373 ^ [], set_union2(373 ^ [], 374 ^ []))), 191 : in(187 ^ [set_union2(373 ^ [], 374 ^ []), 373 ^ []], set_union2(373 ^ [], 374 ^ []))],extension(186 ^ 1,bind([[_56921, _56923], [set_union2(373 ^ [], 374 ^ []), 373 ^ []]]))).
% 0.39/1.37  ncf('1.1.1',plain,[-(in(187 ^ [set_union2(373 ^ [], 374 ^ []), 373 ^ []], set_union2(373 ^ [], 374 ^ []))), 149 : in(187 ^ [set_union2(373 ^ [], 374 ^ []), 373 ^ []], 373 ^ []), 147 : set_union2(373 ^ [], 374 ^ []) = set_union2(373 ^ [], 374 ^ [])],extension(133 ^ 4,bind([[_55102, _55104, _55106, _55562], [set_union2(373 ^ [], 374 ^ []), 374 ^ [], 373 ^ [], 187 ^ [set_union2(373 ^ [], 374 ^ []), 373 ^ []]]]))).
% 0.39/1.37  ncf('1.1.1.1',plain,[-(in(187 ^ [set_union2(373 ^ [], 374 ^ []), 373 ^ []], 373 ^ []))],extension(189 ^ 9)).
% 0.39/1.37  ncf('1.1.1.2',plain,[-(set_union2(373 ^ [], 374 ^ []) = set_union2(373 ^ [], 374 ^ []))],extension(2 ^ 5,bind([[_50678], [set_union2(373 ^ [], 374 ^ [])]]))).
% 0.39/1.37  %-----------------------------------------------------
% 0.39/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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