TSTP Solution File: SEU187+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU187+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 0.37s 1.37s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n031.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 13:41:10 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.37/1.37
% 0.37/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.37 %-----------------------------------------------------
% 0.37/1.37 ncf(matrix, plain, [(342 ^ _47755) ^ [] : [relation_dom(empty_set) = empty_set, relation_rng(empty_set) = empty_set], (68 ^ _47755) ^ [_50021, _50023, _50025, _50027] : [-(ordered_pair(_50027, _50023) = ordered_pair(_50025, _50021)), _50027 = _50025, _50023 = _50021], (78 ^ _47755) ^ [_50352, _50354] : [_50354 = _50352, -(singleton(_50354) = singleton(_50352))], (84 ^ _47755) ^ [_50598, _50600, _50602, _50604] : [-(unordered_pair(_50604, _50600) = unordered_pair(_50602, _50598)), _50604 = _50602, _50600 = _50598], (94 ^ _47755) ^ [_50929, _50931] : [_50931 = _50929, -(relation_dom(_50931) = relation_dom(_50929))], (100 ^ _47755) ^ [_51127, _51129] : [_51129 = _51127, -(relation_rng(_51129) = relation_rng(_51127))], (2 ^ _47755) ^ [_47899] : [-(_47899 = _47899)], (4 ^ _47755) ^ [_48006, _48008] : [_48008 = _48006, -(_48006 = _48008)], (10 ^ _47755) ^ [_48210, _48212, _48214] : [-(_48214 = _48210), _48214 = _48212, _48212 = _48210], (20 ^ _47755) ^ [_48523, _48525] : [-(relation(_48523)), _48525 = _48523, relation(_48525)], (30 ^ _47755) ^ [_48846, _48848, _48850, _48852] : [-(element(_48850, _48846)), element(_48852, _48848), _48852 = _48850, _48848 = _48846], (58 ^ _47755) ^ [_49686, _49688] : [-(empty(_49686)), _49688 = _49686, empty(_49688)], (44 ^ _47755) ^ [_49290, _49292, _49294, _49296] : [-(in(_49294, _49290)), in(_49296, _49292), _49296 = _49294, _49292 = _49290], (106 ^ _47755) ^ [_51363, _51365] : [in(_51365, _51363), in(_51363, _51365)], (112 ^ _47755) ^ [_51560] : [empty(_51560), -(relation(_51560))], (118 ^ _47755) ^ [_51745, _51747] : [-(unordered_pair(_51747, _51745) = unordered_pair(_51745, _51747))], (120 ^ _47755) ^ [_51846] : [relation(_51846), 123 ^ _47755 : [(141 ^ _47755) ^ [_52658] : [-(_52658 = relation_dom(_51846)), 145 ^ _47755 : [(146 ^ _47755) ^ [] : [-(in(142 ^ [_51846, _52658], _52658))], (148 ^ _47755) ^ [_52921] : [in(ordered_pair(142 ^ [_51846, _52658], _52921), _51846)]], 150 ^ _47755 : [(151 ^ _47755) ^ [] : [-(in(ordered_pair(142 ^ [_51846, _52658], 149 ^ [_51846, _52658]), _51846))], (153 ^ _47755) ^ [] : [in(142 ^ [_51846, _52658], _52658)]]], (124 ^ _47755) ^ [_52027] : [_52027 = relation_dom(_51846), 127 ^ _47755 : [(128 ^ _47755) ^ [_52207] : [in(_52207, _52027), -(in(ordered_pair(_52207, 131 ^ [_51846, _52027, _52207]), _51846))], (135 ^ _47755) ^ [_52451] : [136 ^ _47755 : [(137 ^ _47755) ^ [_52530] : [in(ordered_pair(_52451, _52530), _51846)]], -(in(_52451, _52027))]]]]], (157 ^ _47755) ^ [_53287] : [relation(_53287), 160 ^ _47755 : [(178 ^ _47755) ^ [_54099] : [-(_54099 = relation_rng(_53287)), 182 ^ _47755 : [(183 ^ _47755) ^ [] : [-(in(179 ^ [_53287, _54099], _54099))], (185 ^ _47755) ^ [_54362] : [in(ordered_pair(_54362, 179 ^ [_53287, _54099]), _53287)]], 187 ^ _47755 : [(188 ^ _47755) ^ [] : [-(in(ordered_pair(186 ^ [_53287, _54099], 179 ^ [_53287, _54099]), _53287))], (190 ^ _47755) ^ [] : [in(179 ^ [_53287, _54099], _54099)]]], (161 ^ _47755) ^ [_53468] : [_53468 = relation_rng(_53287), 164 ^ _47755 : [(165 ^ _47755) ^ [_53648] : [in(_53648, _53468), -(in(ordered_pair(168 ^ [_53287, _53468, _53648], _53648), _53287))], (172 ^ _47755) ^ [_53892] : [173 ^ _47755 : [(174 ^ _47755) ^ [_53971] : [in(ordered_pair(_53971, _53892), _53287)]], -(in(_53892, _53468))]]]]], (194 ^ _47755) ^ [_54727, _54729] : [-(ordered_pair(_54729, _54727) = unordered_pair(unordered_pair(_54729, _54727), singleton(_54729)))], (196 ^ _47755) ^ [] : [true___, -(true___)], (202 ^ _47755) ^ [] : [true___, -(true___)], (208 ^ _47755) ^ [] : [true___, -(true___)], (214 ^ _47755) ^ [] : [true___, -(true___)], (220 ^ _47755) ^ [] : [true___, -(true___)], (226 ^ _47755) ^ [] : [true___, -(true___)], (232 ^ _47755) ^ [] : [true___, -(true___)], (239 ^ _47755) ^ [_55690] : [-(element(237 ^ [_55690], _55690))], (241 ^ _47755) ^ [] : [-(empty(empty_set))], (243 ^ _47755) ^ [_55839, _55841] : [empty(ordered_pair(_55841, _55839))], (245 ^ _47755) ^ [_55920] : [empty(singleton(_55920))], (247 ^ _47755) ^ [_56012, _56014] : [empty(unordered_pair(_56014, _56012))], (249 ^ _47755) ^ [] : [-(empty(empty_set))], (251 ^ _47755) ^ [] : [-(relation(empty_set))], (253 ^ _47755) ^ [_56217] : [empty(relation_dom(_56217)), -(empty(_56217)), relation(_56217)], (263 ^ _47755) ^ [_56494] : [empty(relation_rng(_56494)), -(empty(_56494)), relation(_56494)], (274 ^ _47755) ^ [] : [-(empty(272 ^ []))], (276 ^ _47755) ^ [] : [-(relation(272 ^ []))], (279 ^ _47755) ^ [] : [-(empty(277 ^ []))], (282 ^ _47755) ^ [] : [empty(280 ^ [])], (284 ^ _47755) ^ [] : [-(relation(280 ^ []))], (287 ^ _47755) ^ [] : [empty(285 ^ [])], (289 ^ _47755) ^ [_57263, _57265] : [in(_57265, _57263), -(element(_57265, _57263))], (295 ^ _47755) ^ [_57473, _57475] : [element(_57475, _57473), -(empty(_57473)), -(in(_57475, _57473))], (305 ^ _47755) ^ [_57771, _57773] : [-(_57773 = _57771), 309 ^ _47755 : [(310 ^ _47755) ^ [] : [-(in(306 ^ [_57771, _57773], _57773))], (312 ^ _47755) ^ [] : [in(306 ^ [_57771, _57773], _57771)]], 313 ^ _47755 : [(314 ^ _47755) ^ [] : [-(in(306 ^ [_57771, _57773], _57771))], (316 ^ _47755) ^ [] : [in(306 ^ [_57771, _57773], _57773)]]], (320 ^ _47755) ^ [_58287] : [empty(_58287), -(_58287 = empty_set)], (326 ^ _47755) ^ [_58489, _58491] : [in(_58491, _58489), empty(_58489)], (332 ^ _47755) ^ [_58676, _58678] : [empty(_58678), -(_58678 = _58676), empty(_58676)]], input).
% 0.37/1.37 ncf('1',plain,[relation_dom(empty_set) = empty_set, relation_rng(empty_set) = empty_set],start(342 ^ 0)).
% 0.37/1.37 ncf('1.1',plain,[-(relation_dom(empty_set) = empty_set), empty_set = relation_dom(empty_set)],extension(4 ^ 1,bind([[_48006, _48008], [relation_dom(empty_set), empty_set]]))).
% 0.37/1.37 ncf('1.1.1',plain,[-(empty_set = relation_dom(empty_set)), 146 : -(in(142 ^ [empty_set, empty_set], empty_set)), 151 : -(in(ordered_pair(142 ^ [empty_set, empty_set], 149 ^ [empty_set, empty_set]), empty_set)), 141 : relation(empty_set)],extension(120 ^ 2,bind([[_51846, _52658], [empty_set, empty_set]]))).
% 0.37/1.37 ncf('1.1.1.1',plain,[in(142 ^ [empty_set, empty_set], empty_set), empty(empty_set)],extension(326 ^ 7,bind([[_58489, _58491], [empty_set, 142 ^ [empty_set, empty_set]]]))).
% 0.37/1.37 ncf('1.1.1.1.1',plain,[-(empty(empty_set))],extension(241 ^ 8)).
% 0.37/1.37 ncf('1.1.1.2',plain,[in(ordered_pair(142 ^ [empty_set, empty_set], 149 ^ [empty_set, empty_set]), empty_set), empty(empty_set)],extension(326 ^ 7,bind([[_58489, _58491], [empty_set, ordered_pair(142 ^ [empty_set, empty_set], 149 ^ [empty_set, empty_set])]]))).
% 0.37/1.37 ncf('1.1.1.2.1',plain,[-(empty(empty_set))],extension(241 ^ 8)).
% 0.37/1.37 ncf('1.1.1.3',plain,[-(relation(empty_set)), empty(empty_set)],extension(112 ^ 3,bind([[_51560], [empty_set]]))).
% 0.37/1.37 ncf('1.1.1.3.1',plain,[-(empty(empty_set))],extension(241 ^ 4)).
% 0.37/1.37 ncf('1.2',plain,[-(relation_rng(empty_set) = empty_set), empty_set = relation_rng(empty_set)],extension(4 ^ 1,bind([[_48006, _48008], [relation_rng(empty_set), empty_set]]))).
% 0.37/1.37 ncf('1.2.1',plain,[-(empty_set = relation_rng(empty_set)), 183 : -(in(179 ^ [empty_set, empty_set], empty_set)), 188 : -(in(ordered_pair(186 ^ [empty_set, empty_set], 179 ^ [empty_set, empty_set]), empty_set)), 178 : relation(empty_set)],extension(157 ^ 2,bind([[_53287, _54099], [empty_set, empty_set]]))).
% 0.37/1.37 ncf('1.2.1.1',plain,[in(179 ^ [empty_set, empty_set], empty_set), empty(empty_set)],extension(326 ^ 7,bind([[_58489, _58491], [empty_set, 179 ^ [empty_set, empty_set]]]))).
% 0.37/1.37 ncf('1.2.1.1.1',plain,[-(empty(empty_set))],extension(241 ^ 8)).
% 0.37/1.37 ncf('1.2.1.2',plain,[in(ordered_pair(186 ^ [empty_set, empty_set], 179 ^ [empty_set, empty_set]), empty_set), empty(empty_set)],extension(326 ^ 7,bind([[_58489, _58491], [empty_set, ordered_pair(186 ^ [empty_set, empty_set], 179 ^ [empty_set, empty_set])]]))).
% 0.37/1.37 ncf('1.2.1.2.1',plain,[-(empty(empty_set))],extension(241 ^ 8)).
% 0.37/1.37 ncf('1.2.1.3',plain,[-(relation(empty_set)), empty(empty_set)],extension(112 ^ 3,bind([[_51560], [empty_set]]))).
% 0.37/1.37 ncf('1.2.1.3.1',plain,[-(empty(empty_set))],extension(241 ^ 4)).
% 0.37/1.37 %-----------------------------------------------------
% 0.37/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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