TSTP Solution File: SEU209+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU209+1 : TPTP v8.1.2. Released v3.3.0.
% 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 12:02:40 EDT 2023
% Result : Theorem 0.47s 1.37s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU209+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n018.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 13:20:57 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.47/1.37
% 0.47/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.47/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.37 %-----------------------------------------------------
% 0.47/1.37 ncf(matrix, plain, [(438 ^ _59572) ^ [] : [-(relation(436 ^ []))], (440 ^ _59572) ^ [] : [subset(relation_inverse_image(436 ^ [], 435 ^ []), relation_dom(436 ^ []))], (82 ^ _59572) ^ [_62284, _62286, _62288, _62290] : [-(ordered_pair(_62290, _62286) = ordered_pair(_62288, _62284)), _62290 = _62288, _62286 = _62284], (92 ^ _59572) ^ [_62615, _62617] : [_62617 = _62615, -(singleton(_62617) = singleton(_62615))], (98 ^ _59572) ^ [_62861, _62863, _62865, _62867] : [-(unordered_pair(_62867, _62863) = unordered_pair(_62865, _62861)), _62867 = _62865, _62863 = _62861], (108 ^ _59572) ^ [_63192, _63194] : [_63194 = _63192, -(powerset(_63194) = powerset(_63192))], (124 ^ _59572) ^ [_63749, _63751] : [_63751 = _63749, -(relation_dom(_63751) = relation_dom(_63749))], (114 ^ _59572) ^ [_63438, _63440, _63442, _63444] : [-(relation_inverse_image(_63444, _63440) = relation_inverse_image(_63442, _63438)), _63444 = _63442, _63440 = _63438], (2 ^ _59572) ^ [_59716] : [-(_59716 = _59716)], (4 ^ _59572) ^ [_59823, _59825] : [_59825 = _59823, -(_59823 = _59825)], (10 ^ _59572) ^ [_60027, _60029, _60031] : [-(_60031 = _60027), _60031 = _60029, _60029 = _60027], (20 ^ _59572) ^ [_60368, _60370, _60372, _60374] : [-(element(_60372, _60368)), element(_60374, _60370), _60374 = _60372, _60370 = _60368], (34 ^ _59572) ^ [_60812, _60814, _60816, _60818] : [-(in(_60816, _60812)), in(_60818, _60814), _60818 = _60816, _60814 = _60812], (48 ^ _59572) ^ [_61228, _61230] : [-(empty(_61228)), _61230 = _61228, empty(_61230)], (58 ^ _59572) ^ [_61523, _61525] : [-(relation(_61523)), _61525 = _61523, relation(_61525)], (68 ^ _59572) ^ [_61826, _61828, _61830, _61832] : [-(subset(_61830, _61826)), subset(_61832, _61828), _61832 = _61830, _61828 = _61826], (130 ^ _59572) ^ [_63989, _63991] : [in(_63991, _63989), in(_63989, _63991)], (136 ^ _59572) ^ [_64186] : [empty(_64186), -(relation(_64186))], (142 ^ _59572) ^ [_64371, _64373] : [-(unordered_pair(_64373, _64371) = unordered_pair(_64371, _64373))], (144 ^ _59572) ^ [_64472] : [relation(_64472), 147 ^ _59572 : [(171 ^ _59572) ^ [_65585, _65587] : [-(_65585 = relation_inverse_image(_64472, _65587)), 184 ^ _59572 : [(185 ^ _59572) ^ [] : [-(in(ordered_pair(172 ^ [_64472, _65585, _65587], 183 ^ [_64472, _65585, _65587]), _64472))], (187 ^ _59572) ^ [] : [-(in(183 ^ [_64472, _65585, _65587], _65587))], (189 ^ _59572) ^ [] : [in(172 ^ [_64472, _65585, _65587], _65585)]], 175 ^ _59572 : [(176 ^ _59572) ^ [] : [-(in(172 ^ [_64472, _65585, _65587], _65585))], (178 ^ _59572) ^ [_65889] : [in(ordered_pair(172 ^ [_64472, _65585, _65587], _65889), _64472), in(_65889, _65587)]]], (148 ^ _59572) ^ [_64679, _64681] : [_64679 = relation_inverse_image(_64472, _64681), 151 ^ _59572 : [(152 ^ _59572) ^ [_64871] : [in(_64871, _64679), 156 ^ _59572 : [(157 ^ _59572) ^ [] : [-(in(ordered_pair(_64871, 155 ^ [_64472, _64679, _64681, _64871]), _64472))], (159 ^ _59572) ^ [] : [-(in(155 ^ [_64472, _64679, _64681, _64871], _64681))]]], (161 ^ _59572) ^ [_65225] : [-(in(_65225, _64679)), 162 ^ _59572 : [(163 ^ _59572) ^ [_65330] : [in(ordered_pair(_65225, _65330), _64472), in(_65330, _64681)]]]]]]], (203 ^ _59572) ^ [_66848, _66850] : [205 ^ _59572 : [(206 ^ _59572) ^ [] : [-(in(204 ^ [_66848, _66850], _66850))], (208 ^ _59572) ^ [] : [in(204 ^ [_66848, _66850], _66848)]], -(subset(_66850, _66848))], (193 ^ _59572) ^ [_66534, _66536] : [subset(_66536, _66534), 196 ^ _59572 : [(197 ^ _59572) ^ [_66671] : [in(_66671, _66536), -(in(_66671, _66534))]]], (212 ^ _59572) ^ [_67191] : [relation(_67191), 215 ^ _59572 : [(233 ^ _59572) ^ [_68003] : [-(_68003 = relation_dom(_67191)), 237 ^ _59572 : [(238 ^ _59572) ^ [] : [-(in(234 ^ [_67191, _68003], _68003))], (240 ^ _59572) ^ [_68266] : [in(ordered_pair(234 ^ [_67191, _68003], _68266), _67191)]], 242 ^ _59572 : [(243 ^ _59572) ^ [] : [-(in(ordered_pair(234 ^ [_67191, _68003], 241 ^ [_67191, _68003]), _67191))], (245 ^ _59572) ^ [] : [in(234 ^ [_67191, _68003], _68003)]]], (216 ^ _59572) ^ [_67372] : [_67372 = relation_dom(_67191), 219 ^ _59572 : [(220 ^ _59572) ^ [_67552] : [in(_67552, _67372), -(in(ordered_pair(_67552, 223 ^ [_67191, _67372, _67552]), _67191))], (227 ^ _59572) ^ [_67796] : [228 ^ _59572 : [(229 ^ _59572) ^ [_67875] : [in(ordered_pair(_67796, _67875), _67191)]], -(in(_67796, _67372))]]]]], (249 ^ _59572) ^ [_68631, _68633] : [-(ordered_pair(_68633, _68631) = unordered_pair(unordered_pair(_68633, _68631), singleton(_68633)))], (251 ^ _59572) ^ [] : [true___, -(true___)], (257 ^ _59572) ^ [] : [true___, -(true___)], (263 ^ _59572) ^ [] : [true___, -(true___)], (269 ^ _59572) ^ [] : [true___, -(true___)], (275 ^ _59572) ^ [] : [true___, -(true___)], (281 ^ _59572) ^ [] : [true___, -(true___)], (287 ^ _59572) ^ [] : [true___, -(true___)], (293 ^ _59572) ^ [] : [true___, -(true___)], (300 ^ _59572) ^ [_69713] : [-(element(298 ^ [_69713], _69713))], (302 ^ _59572) ^ [_69795] : [empty(powerset(_69795))], (304 ^ _59572) ^ [] : [-(empty(empty_set))], (306 ^ _59572) ^ [_69940, _69942] : [empty(ordered_pair(_69942, _69940))], (308 ^ _59572) ^ [_70021] : [empty(singleton(_70021))], (310 ^ _59572) ^ [_70113, _70115] : [empty(unordered_pair(_70115, _70113))], (312 ^ _59572) ^ [] : [-(empty(empty_set))], (314 ^ _59572) ^ [] : [-(relation(empty_set))], (316 ^ _59572) ^ [_70318] : [empty(relation_dom(_70318)), -(empty(_70318)), relation(_70318)], (326 ^ _59572) ^ [_70595] : [empty(_70595), 329 ^ _59572 : [(330 ^ _59572) ^ [] : [-(empty(relation_dom(_70595)))], (332 ^ _59572) ^ [] : [-(relation(relation_dom(_70595)))]]], (335 ^ _59572) ^ [] : [-(empty(333 ^ []))], (337 ^ _59572) ^ [] : [-(relation(333 ^ []))], (339 ^ _59572) ^ [_71009] : [-(empty(_71009)), 343 ^ _59572 : [(344 ^ _59572) ^ [] : [-(element(342 ^ [_71009], powerset(_71009)))], (346 ^ _59572) ^ [] : [empty(342 ^ [_71009])]]], (349 ^ _59572) ^ [] : [-(empty(347 ^ []))], (352 ^ _59572) ^ [] : [empty(350 ^ [])], (354 ^ _59572) ^ [] : [-(relation(350 ^ []))], (357 ^ _59572) ^ [_71631] : [-(element(355 ^ [_71631], powerset(_71631)))], (359 ^ _59572) ^ [_71682] : [-(empty(355 ^ [_71682]))], (362 ^ _59572) ^ [] : [empty(360 ^ [])], (364 ^ _59572) ^ [_71870, _71872] : [-(subset(_71872, _71872))], (366 ^ _59572) ^ [_71979, _71981] : [in(_71981, _71979), -(element(_71981, _71979))], (372 ^ _59572) ^ [_72189, _72191] : [element(_72191, _72189), -(empty(_72189)), -(in(_72191, _72189))], (382 ^ _59572) ^ [_72516, _72518] : [element(_72518, powerset(_72516)), -(subset(_72518, _72516))], (388 ^ _59572) ^ [_72682, _72684] : [subset(_72684, _72682), -(element(_72684, powerset(_72682)))], (394 ^ _59572) ^ [_72912, _72914, _72916] : [-(element(_72916, _72912)), in(_72916, _72914), element(_72914, powerset(_72912))], (404 ^ _59572) ^ [_73239, _73241, _73243] : [in(_73243, _73241), element(_73241, powerset(_73239)), empty(_73239)], (414 ^ _59572) ^ [_73535] : [empty(_73535), -(_73535 = empty_set)], (420 ^ _59572) ^ [_73737, _73739] : [in(_73739, _73737), empty(_73737)], (426 ^ _59572) ^ [_73924, _73926] : [empty(_73926), -(_73926 = _73924), empty(_73924)]], input).
% 0.47/1.37 ncf('1',plain,[subset(relation_inverse_image(436 ^ [], 435 ^ []), relation_dom(436 ^ []))],start(440 ^ 0)).
% 0.47/1.37 ncf('1.1',plain,[-(subset(relation_inverse_image(436 ^ [], 435 ^ []), relation_dom(436 ^ []))), 208 : in(204 ^ [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])], relation_dom(436 ^ []))],extension(203 ^ 1,bind([[_66848, _66850], [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])]]))).
% 0.47/1.37 ncf('1.1.1',plain,[-(in(204 ^ [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])], relation_dom(436 ^ []))), 229 : in(ordered_pair(204 ^ [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])], 155 ^ [436 ^ [], relation_inverse_image(436 ^ [], 435 ^ []), 435 ^ [], 204 ^ [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])]]), 436 ^ []), 227 : relation_dom(436 ^ []) = relation_dom(436 ^ []), 216 : relation(436 ^ [])],extension(212 ^ 4,bind([[_67191, _67372, _67796, _67875], [436 ^ [], relation_dom(436 ^ []), 204 ^ [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])], 155 ^ [436 ^ [], relation_inverse_image(436 ^ [], 435 ^ []), 435 ^ [], 204 ^ [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])]]]]))).
% 0.47/1.37 ncf('1.1.1.1',plain,[-(in(ordered_pair(204 ^ [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])], 155 ^ [436 ^ [], relation_inverse_image(436 ^ [], 435 ^ []), 435 ^ [], 204 ^ [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])]]), 436 ^ [])), 152 : in(204 ^ [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])], relation_inverse_image(436 ^ [], 435 ^ [])), 152 : relation_inverse_image(436 ^ [], 435 ^ []) = relation_inverse_image(436 ^ [], 435 ^ []), 148 : relation(436 ^ [])],extension(144 ^ 11,bind([[_64472, _64679, _64681, _64871], [436 ^ [], relation_inverse_image(436 ^ [], 435 ^ []), 435 ^ [], 204 ^ [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])]]]))).
% 0.47/1.37 ncf('1.1.1.1.1',plain,[-(in(204 ^ [relation_dom(436 ^ []), relation_inverse_image(436 ^ [], 435 ^ [])], relation_inverse_image(436 ^ [], 435 ^ [])))],extension(206 ^ 16)).
% 0.47/1.37 ncf('1.1.1.1.2',plain,[-(relation_inverse_image(436 ^ [], 435 ^ []) = relation_inverse_image(436 ^ [], 435 ^ []))],extension(2 ^ 14,bind([[_59716], [relation_inverse_image(436 ^ [], 435 ^ [])]]))).
% 0.47/1.37 ncf('1.1.1.1.3',plain,[-(relation(436 ^ []))],extension(438 ^ 12)).
% 0.47/1.37 ncf('1.1.1.2',plain,[-(relation_dom(436 ^ []) = relation_dom(436 ^ [])), 436 ^ [] = 436 ^ []],extension(124 ^ 7,bind([[_63749, _63751], [436 ^ [], 436 ^ []]]))).
% 0.47/1.37 ncf('1.1.1.2.1',plain,[-(436 ^ [] = 436 ^ [])],extension(2 ^ 8,bind([[_59716], [436 ^ []]]))).
% 0.47/1.37 ncf('1.1.1.3',plain,[-(relation(436 ^ []))],extension(438 ^ 5)).
% 0.47/1.37 %-----------------------------------------------------
% 0.47/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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