TSTP Solution File: SEU204+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU204+1 : 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 12:02:38 EDT 2023
% Result : Theorem 0.49s 1.47s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.21 % Problem : SEU204+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.22 % Command : nanocop.sh %s %d
% 0.12/0.43 % Computer : n019.cluster.edu
% 0.12/0.43 % Model : x86_64 x86_64
% 0.12/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.43 % Memory : 8042.1875MB
% 0.12/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.43 % CPULimit : 300
% 0.12/0.43 % WCLimit : 300
% 0.12/0.43 % DateTime : Thu May 18 12:41:43 EDT 2023
% 0.12/0.43 % CPUTime :
% 0.49/1.47
% 0.49/1.47 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.49/1.47 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/1.47 %-----------------------------------------------------
% 0.49/1.47 ncf(matrix, plain, [(438 ^ _59600) ^ [] : [-(relation(436 ^ []))], (440 ^ _59600) ^ [] : [subset(relation_image(436 ^ [], 435 ^ []), relation_rng(436 ^ []))], (82 ^ _59600) ^ [_62312, _62314, _62316, _62318] : [-(ordered_pair(_62318, _62314) = ordered_pair(_62316, _62312)), _62318 = _62316, _62314 = _62312], (92 ^ _59600) ^ [_62643, _62645] : [_62645 = _62643, -(singleton(_62645) = singleton(_62643))], (98 ^ _59600) ^ [_62889, _62891, _62893, _62895] : [-(unordered_pair(_62895, _62891) = unordered_pair(_62893, _62889)), _62895 = _62893, _62891 = _62889], (108 ^ _59600) ^ [_63220, _63222] : [_63222 = _63220, -(powerset(_63222) = powerset(_63220))], (124 ^ _59600) ^ [_63777, _63779] : [_63779 = _63777, -(relation_rng(_63779) = relation_rng(_63777))], (114 ^ _59600) ^ [_63466, _63468, _63470, _63472] : [-(relation_image(_63472, _63468) = relation_image(_63470, _63466)), _63472 = _63470, _63468 = _63466], (2 ^ _59600) ^ [_59744] : [-(_59744 = _59744)], (4 ^ _59600) ^ [_59851, _59853] : [_59853 = _59851, -(_59851 = _59853)], (10 ^ _59600) ^ [_60055, _60057, _60059] : [-(_60059 = _60055), _60059 = _60057, _60057 = _60055], (20 ^ _59600) ^ [_60396, _60398, _60400, _60402] : [-(element(_60400, _60396)), element(_60402, _60398), _60402 = _60400, _60398 = _60396], (34 ^ _59600) ^ [_60840, _60842, _60844, _60846] : [-(in(_60844, _60840)), in(_60846, _60842), _60846 = _60844, _60842 = _60840], (48 ^ _59600) ^ [_61256, _61258] : [-(empty(_61256)), _61258 = _61256, empty(_61258)], (58 ^ _59600) ^ [_61551, _61553] : [-(relation(_61551)), _61553 = _61551, relation(_61553)], (68 ^ _59600) ^ [_61854, _61856, _61858, _61860] : [-(subset(_61858, _61854)), subset(_61860, _61856), _61860 = _61858, _61856 = _61854], (130 ^ _59600) ^ [_64017, _64019] : [in(_64019, _64017), in(_64017, _64019)], (136 ^ _59600) ^ [_64214] : [empty(_64214), -(relation(_64214))], (142 ^ _59600) ^ [_64399, _64401] : [-(unordered_pair(_64401, _64399) = unordered_pair(_64399, _64401))], (144 ^ _59600) ^ [_64500] : [relation(_64500), 147 ^ _59600 : [(171 ^ _59600) ^ [_65613, _65615] : [-(_65613 = relation_image(_64500, _65615)), 184 ^ _59600 : [(185 ^ _59600) ^ [] : [-(in(ordered_pair(183 ^ [_64500, _65613, _65615], 172 ^ [_64500, _65613, _65615]), _64500))], (187 ^ _59600) ^ [] : [-(in(183 ^ [_64500, _65613, _65615], _65615))], (189 ^ _59600) ^ [] : [in(172 ^ [_64500, _65613, _65615], _65613)]], 175 ^ _59600 : [(176 ^ _59600) ^ [] : [-(in(172 ^ [_64500, _65613, _65615], _65613))], (178 ^ _59600) ^ [_65917] : [in(ordered_pair(_65917, 172 ^ [_64500, _65613, _65615]), _64500), in(_65917, _65615)]]], (148 ^ _59600) ^ [_64707, _64709] : [_64707 = relation_image(_64500, _64709), 151 ^ _59600 : [(152 ^ _59600) ^ [_64899] : [in(_64899, _64707), 156 ^ _59600 : [(157 ^ _59600) ^ [] : [-(in(ordered_pair(155 ^ [_64500, _64707, _64709, _64899], _64899), _64500))], (159 ^ _59600) ^ [] : [-(in(155 ^ [_64500, _64707, _64709, _64899], _64709))]]], (161 ^ _59600) ^ [_65253] : [-(in(_65253, _64707)), 162 ^ _59600 : [(163 ^ _59600) ^ [_65358] : [in(ordered_pair(_65358, _65253), _64500), in(_65358, _64709)]]]]]]], (203 ^ _59600) ^ [_66876, _66878] : [205 ^ _59600 : [(206 ^ _59600) ^ [] : [-(in(204 ^ [_66876, _66878], _66878))], (208 ^ _59600) ^ [] : [in(204 ^ [_66876, _66878], _66876)]], -(subset(_66878, _66876))], (193 ^ _59600) ^ [_66562, _66564] : [subset(_66564, _66562), 196 ^ _59600 : [(197 ^ _59600) ^ [_66699] : [in(_66699, _66564), -(in(_66699, _66562))]]], (212 ^ _59600) ^ [_67219] : [relation(_67219), 215 ^ _59600 : [(233 ^ _59600) ^ [_68031] : [-(_68031 = relation_rng(_67219)), 237 ^ _59600 : [(238 ^ _59600) ^ [] : [-(in(234 ^ [_67219, _68031], _68031))], (240 ^ _59600) ^ [_68294] : [in(ordered_pair(_68294, 234 ^ [_67219, _68031]), _67219)]], 242 ^ _59600 : [(243 ^ _59600) ^ [] : [-(in(ordered_pair(241 ^ [_67219, _68031], 234 ^ [_67219, _68031]), _67219))], (245 ^ _59600) ^ [] : [in(234 ^ [_67219, _68031], _68031)]]], (216 ^ _59600) ^ [_67400] : [_67400 = relation_rng(_67219), 219 ^ _59600 : [(220 ^ _59600) ^ [_67580] : [in(_67580, _67400), -(in(ordered_pair(223 ^ [_67219, _67400, _67580], _67580), _67219))], (227 ^ _59600) ^ [_67824] : [228 ^ _59600 : [(229 ^ _59600) ^ [_67903] : [in(ordered_pair(_67903, _67824), _67219)]], -(in(_67824, _67400))]]]]], (249 ^ _59600) ^ [_68659, _68661] : [-(ordered_pair(_68661, _68659) = unordered_pair(unordered_pair(_68661, _68659), singleton(_68661)))], (251 ^ _59600) ^ [] : [true___, -(true___)], (257 ^ _59600) ^ [] : [true___, -(true___)], (263 ^ _59600) ^ [] : [true___, -(true___)], (269 ^ _59600) ^ [] : [true___, -(true___)], (275 ^ _59600) ^ [] : [true___, -(true___)], (281 ^ _59600) ^ [] : [true___, -(true___)], (287 ^ _59600) ^ [] : [true___, -(true___)], (293 ^ _59600) ^ [] : [true___, -(true___)], (300 ^ _59600) ^ [_69741] : [-(element(298 ^ [_69741], _69741))], (302 ^ _59600) ^ [_69823] : [empty(powerset(_69823))], (304 ^ _59600) ^ [] : [-(empty(empty_set))], (306 ^ _59600) ^ [_69968, _69970] : [empty(ordered_pair(_69970, _69968))], (308 ^ _59600) ^ [_70049] : [empty(singleton(_70049))], (310 ^ _59600) ^ [_70141, _70143] : [empty(unordered_pair(_70143, _70141))], (312 ^ _59600) ^ [] : [-(empty(empty_set))], (314 ^ _59600) ^ [] : [-(relation(empty_set))], (316 ^ _59600) ^ [_70346] : [empty(relation_rng(_70346)), -(empty(_70346)), relation(_70346)], (326 ^ _59600) ^ [_70623] : [empty(_70623), 329 ^ _59600 : [(330 ^ _59600) ^ [] : [-(empty(relation_rng(_70623)))], (332 ^ _59600) ^ [] : [-(relation(relation_rng(_70623)))]]], (335 ^ _59600) ^ [] : [-(empty(333 ^ []))], (337 ^ _59600) ^ [] : [-(relation(333 ^ []))], (339 ^ _59600) ^ [_71037] : [-(empty(_71037)), 343 ^ _59600 : [(344 ^ _59600) ^ [] : [-(element(342 ^ [_71037], powerset(_71037)))], (346 ^ _59600) ^ [] : [empty(342 ^ [_71037])]]], (349 ^ _59600) ^ [] : [-(empty(347 ^ []))], (352 ^ _59600) ^ [] : [empty(350 ^ [])], (354 ^ _59600) ^ [] : [-(relation(350 ^ []))], (357 ^ _59600) ^ [_71659] : [-(element(355 ^ [_71659], powerset(_71659)))], (359 ^ _59600) ^ [_71710] : [-(empty(355 ^ [_71710]))], (362 ^ _59600) ^ [] : [empty(360 ^ [])], (364 ^ _59600) ^ [_71898, _71900] : [-(subset(_71900, _71900))], (366 ^ _59600) ^ [_72007, _72009] : [in(_72009, _72007), -(element(_72009, _72007))], (372 ^ _59600) ^ [_72217, _72219] : [element(_72219, _72217), -(empty(_72217)), -(in(_72219, _72217))], (382 ^ _59600) ^ [_72544, _72546] : [element(_72546, powerset(_72544)), -(subset(_72546, _72544))], (388 ^ _59600) ^ [_72710, _72712] : [subset(_72712, _72710), -(element(_72712, powerset(_72710)))], (394 ^ _59600) ^ [_72940, _72942, _72944] : [-(element(_72944, _72940)), in(_72944, _72942), element(_72942, powerset(_72940))], (404 ^ _59600) ^ [_73267, _73269, _73271] : [in(_73271, _73269), element(_73269, powerset(_73267)), empty(_73267)], (414 ^ _59600) ^ [_73563] : [empty(_73563), -(_73563 = empty_set)], (420 ^ _59600) ^ [_73765, _73767] : [in(_73767, _73765), empty(_73765)], (426 ^ _59600) ^ [_73952, _73954] : [empty(_73954), -(_73954 = _73952), empty(_73952)]], input).
% 0.49/1.47 ncf('1',plain,[subset(relation_image(436 ^ [], 435 ^ []), relation_rng(436 ^ []))],start(440 ^ 0)).
% 0.49/1.47 ncf('1.1',plain,[-(subset(relation_image(436 ^ [], 435 ^ []), relation_rng(436 ^ []))), 208 : in(204 ^ [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])], relation_rng(436 ^ []))],extension(203 ^ 1,bind([[_66876, _66878], [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])]]))).
% 0.49/1.47 ncf('1.1.1',plain,[-(in(204 ^ [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])], relation_rng(436 ^ []))), 229 : in(ordered_pair(155 ^ [436 ^ [], relation_image(436 ^ [], 435 ^ []), 435 ^ [], 204 ^ [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])]], 204 ^ [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])]), 436 ^ []), 227 : relation_rng(436 ^ []) = relation_rng(436 ^ []), 216 : relation(436 ^ [])],extension(212 ^ 4,bind([[_67219, _67400, _67824, _67903], [436 ^ [], relation_rng(436 ^ []), 204 ^ [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])], 155 ^ [436 ^ [], relation_image(436 ^ [], 435 ^ []), 435 ^ [], 204 ^ [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])]]]]))).
% 0.49/1.47 ncf('1.1.1.1',plain,[-(in(ordered_pair(155 ^ [436 ^ [], relation_image(436 ^ [], 435 ^ []), 435 ^ [], 204 ^ [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])]], 204 ^ [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])]), 436 ^ [])), 152 : in(204 ^ [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])], relation_image(436 ^ [], 435 ^ [])), 152 : relation_image(436 ^ [], 435 ^ []) = relation_image(436 ^ [], 435 ^ []), 148 : relation(436 ^ [])],extension(144 ^ 11,bind([[_64500, _64707, _64709, _64899], [436 ^ [], relation_image(436 ^ [], 435 ^ []), 435 ^ [], 204 ^ [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])]]]))).
% 0.49/1.47 ncf('1.1.1.1.1',plain,[-(in(204 ^ [relation_rng(436 ^ []), relation_image(436 ^ [], 435 ^ [])], relation_image(436 ^ [], 435 ^ [])))],extension(206 ^ 16)).
% 0.49/1.47 ncf('1.1.1.1.2',plain,[-(relation_image(436 ^ [], 435 ^ []) = relation_image(436 ^ [], 435 ^ []))],extension(2 ^ 14,bind([[_59744], [relation_image(436 ^ [], 435 ^ [])]]))).
% 0.49/1.47 ncf('1.1.1.1.3',plain,[-(relation(436 ^ []))],extension(438 ^ 12)).
% 0.49/1.47 ncf('1.1.1.2',plain,[-(relation_rng(436 ^ []) = relation_rng(436 ^ [])), 436 ^ [] = 436 ^ []],extension(124 ^ 7,bind([[_63777, _63779], [436 ^ [], 436 ^ []]]))).
% 0.49/1.47 ncf('1.1.1.2.1',plain,[-(436 ^ [] = 436 ^ [])],extension(2 ^ 8,bind([[_59744], [436 ^ []]]))).
% 0.49/1.47 ncf('1.1.1.3',plain,[-(relation(436 ^ []))],extension(438 ^ 5)).
% 0.49/1.47 %-----------------------------------------------------
% 0.49/1.47 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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