TSTP Solution File: SEU188+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU188+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 12:02:34 EDT 2023
% Result : Theorem 43.26s 42.70s
% Output : Proof 43.26s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU188+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 12:52:18 EDT 2023
% 0.13/0.33 % CPUTime :
% 43.26/42.70
% 43.26/42.70 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.26/42.70 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.26/42.70 %-----------------------------------------------------
% 43.26/42.70 ncf(matrix, plain, [(358 ^ _65573) ^ [] : [-(relation_dom(354 ^ []) = empty_set), -(relation_rng(354 ^ []) = empty_set)], (364 ^ _65573) ^ [] : [354 ^ [] = empty_set], (356 ^ _65573) ^ [] : [-(relation(354 ^ []))], !, (249 ^ _53880) ^ [] : [-(empty(empty_set))], (208 ^ _53880) ^ [] : [true___, -(true___)], (232 ^ _53880) ^ [] : [true___, -(true___)], (58 ^ _53880) ^ [_55791, _55793] : [-(relation(_55791)), _55793 = _55791, relation(_55793)], (321 ^ _53880) ^ [_64392] : [relation(_64392), -(in(ordered_pair(326 ^ [_64392], 327 ^ [_64392]), _64392)), -(_64392 = empty_set)], (239 ^ _53880) ^ [_61795] : [-(element(237 ^ [_61795], _61795))], (311 ^ _53880) ^ [_64108, _64110] : [element(_64110, _64108), -(empty(_64108)), -(in(_64110, _64108))], (48 ^ _53880) ^ [_55516, _55518] : [-(empty(_55516)), _55518 = _55516, empty(_55518)], (84 ^ _53880) ^ [_56703, _56705, _56707, _56709] : [-(ordered_pair(_56709, _56705) = ordered_pair(_56707, _56703)), _56709 = _56707, _56705 = _56703], (194 ^ _53880) ^ [_60832, _60834] : [-(ordered_pair(_60834, _60832) = unordered_pair(unordered_pair(_60834, _60832), singleton(_60834)))], (247 ^ _53880) ^ [_62117, _62119] : [empty(unordered_pair(_62119, _62117))], (241 ^ _53880) ^ [] : [-(empty(empty_set))], (305 ^ _53880) ^ [_63898, _63900] : [in(_63900, _63898), -(element(_63900, _63898))], (100 ^ _53880) ^ [_57232, _57234] : [_57234 = _57232, -(relation_rng(_57234) = relation_rng(_57232))], (202 ^ _53880) ^ [] : [true___, -(true___)], (118 ^ _53880) ^ [_57850, _57852] : [-(unordered_pair(_57852, _57850) = unordered_pair(_57850, _57852))], (243 ^ _53880) ^ [_61944, _61946] : [empty(ordered_pair(_61946, _61944))], (303 ^ _53880) ^ [] : [empty(301 ^ [])], (300 ^ _53880) ^ [] : [-(relation(296 ^ []))], (4 ^ _53880) ^ [_54111, _54113] : [_54113 = _54111, -(_54111 = _54113)], (120 ^ _53880) ^ [_57951] : [relation(_57951), 123 ^ _53880 : [(124 ^ _53880) ^ [_58132] : [_58132 = relation_dom(_57951), 127 ^ _53880 : [(135 ^ _53880) ^ [_58556] : [136 ^ _53880 : [(137 ^ _53880) ^ [_58635] : [in(ordered_pair(_58556, _58635), _57951)]], -(in(_58556, _58132))], (128 ^ _53880) ^ [_58312] : [in(_58312, _58132), -(in(ordered_pair(_58312, 131 ^ [_57951, _58132, _58312]), _57951))]]], (141 ^ _53880) ^ [_58763] : [-(_58763 = relation_dom(_57951)), 145 ^ _53880 : [(148 ^ _53880) ^ [_59026] : [in(ordered_pair(142 ^ [_57951, _58763], _59026), _57951)], (146 ^ _53880) ^ [] : [-(in(142 ^ [_57951, _58763], _58763))]], 150 ^ _53880 : [(153 ^ _53880) ^ [] : [in(142 ^ [_57951, _58763], _58763)], (151 ^ _53880) ^ [] : [-(in(ordered_pair(142 ^ [_57951, _58763], 149 ^ [_57951, _58763]), _57951))]]]]], (106 ^ _53880) ^ [_57468, _57470] : [in(_57470, _57468), in(_57468, _57470)], (251 ^ _53880) ^ [] : [-(relation(empty_set))], (74 ^ _53880) ^ [_56344, _56346, _56348, _56350] : [-(unordered_pair(_56350, _56346) = unordered_pair(_56348, _56344)), _56350 = _56348, _56346 = _56344], (333 ^ _53880) ^ [_64796] : [empty(_64796), -(_64796 = empty_set)], (196 ^ _53880) ^ [] : [true___, -(true___)], (290 ^ _53880) ^ [] : [-(empty(288 ^ []))], (157 ^ _53880) ^ [_59392] : [relation(_59392), 160 ^ _53880 : [(161 ^ _53880) ^ [_59573] : [_59573 = relation_rng(_59392), 164 ^ _53880 : [(172 ^ _53880) ^ [_59997] : [173 ^ _53880 : [(174 ^ _53880) ^ [_60076] : [in(ordered_pair(_60076, _59997), _59392)]], -(in(_59997, _59573))], (165 ^ _53880) ^ [_59753] : [in(_59753, _59573), -(in(ordered_pair(168 ^ [_59392, _59573, _59753], _59753), _59392))]]], (178 ^ _53880) ^ [_60204] : [-(_60204 = relation_rng(_59392)), 182 ^ _53880 : [(185 ^ _53880) ^ [_60467] : [in(ordered_pair(_60467, 179 ^ [_59392, _60204]), _59392)], (183 ^ _53880) ^ [] : [-(in(179 ^ [_59392, _60204], _60204))]], 187 ^ _53880 : [(190 ^ _53880) ^ [] : [in(179 ^ [_59392, _60204], _60204)], (188 ^ _53880) ^ [] : [-(in(ordered_pair(186 ^ [_59392, _60204], 179 ^ [_59392, _60204]), _59392))]]]]], (339 ^ _53880) ^ [_64998, _65000] : [in(_65000, _64998), empty(_64998)], (34 ^ _53880) ^ [_55100, _55102, _55104, _55106] : [-(in(_55104, _55100)), in(_55106, _55102), _55106 = _55104, _55102 = _55100], (214 ^ _53880) ^ [] : [true___, -(true___)], (2 ^ _53880) ^ [_54004] : [-(_54004 = _54004)], (10 ^ _53880) ^ [_54315, _54317, _54319] : [-(_54319 = _54315), _54319 = _54317, _54317 = _54315], (295 ^ _53880) ^ [] : [-(empty(293 ^ []))], (245 ^ _53880) ^ [_62025] : [empty(singleton(_62025))], (253 ^ _53880) ^ [_62322] : [empty(relation_dom(_62322)), -(empty(_62322)), relation(_62322)], (345 ^ _53880) ^ [_65185, _65187] : [empty(_65187), -(_65187 = _65185), empty(_65185)], (68 ^ _53880) ^ [_56098, _56100] : [_56100 = _56098, -(singleton(_56100) = singleton(_56098))], (273 ^ _53880) ^ [_62876] : [empty(_62876), 276 ^ _53880 : [(279 ^ _53880) ^ [] : [-(relation(relation_dom(_62876)))], (277 ^ _53880) ^ [] : [-(empty(relation_dom(_62876)))]]], (263 ^ _53880) ^ [_62599] : [empty(relation_rng(_62599)), -(empty(_62599)), relation(_62599)], (94 ^ _53880) ^ [_57034, _57036] : [_57036 = _57034, -(relation_dom(_57036) = relation_dom(_57034))], (112 ^ _53880) ^ [_57665] : [empty(_57665), -(relation(_57665))], (220 ^ _53880) ^ [] : [true___, -(true___)], (20 ^ _53880) ^ [_54656, _54658, _54660, _54662] : [-(element(_54660, _54656)), element(_54662, _54658), _54662 = _54660, _54658 = _54656], (292 ^ _53880) ^ [] : [-(relation(288 ^ []))], (226 ^ _53880) ^ [] : [true___, -(true___)], (281 ^ _53880) ^ [_63141] : [empty(_63141), 284 ^ _53880 : [(287 ^ _53880) ^ [] : [-(relation(relation_rng(_63141)))], (285 ^ _53880) ^ [] : [-(empty(relation_rng(_63141)))]]], (298 ^ _53880) ^ [] : [empty(296 ^ [])]], input).
% 43.26/42.70 ncf('1',plain,[-(relation_dom(354 ^ []) = empty_set), -(relation_rng(354 ^ []) = empty_set)],start(358 ^ 0)).
% 43.26/42.70 ncf('1.1',plain,[relation_dom(354 ^ []) = empty_set, -(empty_set = relation_dom(354 ^ []))],extension(4 ^ 1,bind([[_54111, _54113], [empty_set, relation_dom(354 ^ [])]]))).
% 43.26/42.70 ncf('1.1.1',plain,[empty_set = relation_dom(354 ^ []), 137 : in(ordered_pair(326 ^ [354 ^ []], 327 ^ [354 ^ []]), 354 ^ []), 137 : -(in(326 ^ [354 ^ []], empty_set)), 124 : relation(354 ^ [])],extension(120 ^ 2,bind([[_57951, _58132, _58556, _58635], [354 ^ [], empty_set, 326 ^ [354 ^ []], 327 ^ [354 ^ []]]]))).
% 43.26/42.70 ncf('1.1.1.1',plain,[-(in(ordered_pair(326 ^ [354 ^ []], 327 ^ [354 ^ []]), 354 ^ [])), relation(354 ^ []), -(354 ^ [] = empty_set)],extension(321 ^ 9,bind([[_64392], [354 ^ []]]))).
% 43.26/42.70 ncf('1.1.1.1.1',plain,[-(relation(354 ^ []))],extension(356 ^ 10)).
% 43.26/42.70 ncf('1.1.1.1.2',plain,[354 ^ [] = empty_set],extension(364 ^ 10)).
% 43.26/42.70 ncf('1.1.1.2',plain,[in(326 ^ [354 ^ []], empty_set), empty(empty_set)],extension(339 ^ 7,bind([[_64998, _65000], [empty_set, 326 ^ [354 ^ []]]]))).
% 43.26/42.70 ncf('1.1.1.2.1',plain,[-(empty(empty_set))],extension(249 ^ 8)).
% 43.26/42.70 ncf('1.1.1.3',plain,[-(relation(354 ^ []))],extension(356 ^ 3)).
% 43.26/42.70 ncf('1.2',plain,[relation_rng(354 ^ []) = empty_set, -(empty_set = relation_rng(354 ^ []))],extension(4 ^ 1,bind([[_54111, _54113], [empty_set, relation_rng(354 ^ [])]]))).
% 43.26/42.70 ncf('1.2.1',plain,[empty_set = relation_rng(354 ^ []), 174 : in(ordered_pair(326 ^ [354 ^ []], 327 ^ [354 ^ []]), 354 ^ []), 174 : -(in(327 ^ [354 ^ []], empty_set)), 161 : relation(354 ^ [])],extension(157 ^ 2,bind([[_59392, _59573, _59997, _60076], [354 ^ [], empty_set, 327 ^ [354 ^ []], 326 ^ [354 ^ []]]]))).
% 43.26/42.70 ncf('1.2.1.1',plain,[-(in(ordered_pair(326 ^ [354 ^ []], 327 ^ [354 ^ []]), 354 ^ [])), relation(354 ^ []), -(354 ^ [] = empty_set)],extension(321 ^ 9,bind([[_64392], [354 ^ []]]))).
% 43.26/42.70 ncf('1.2.1.1.1',plain,[-(relation(354 ^ []))],extension(356 ^ 10)).
% 43.26/42.70 ncf('1.2.1.1.2',plain,[354 ^ [] = empty_set],extension(364 ^ 10)).
% 43.26/42.70 ncf('1.2.1.2',plain,[in(327 ^ [354 ^ []], empty_set), empty(empty_set)],extension(339 ^ 7,bind([[_64998, _65000], [empty_set, 327 ^ [354 ^ []]]]))).
% 43.26/42.70 ncf('1.2.1.2.1',plain,[-(empty(empty_set))],extension(249 ^ 8)).
% 43.26/42.70 ncf('1.2.1.3',plain,[-(relation(354 ^ []))],extension(356 ^ 3)).
% 43.26/42.70 %-----------------------------------------------------
% 43.26/42.70 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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