TSTP Solution File: SEU180+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU180+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.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 12:02:32 EDT 2023
% Result : Theorem 0.36s 1.37s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU180+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n013.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 12:44:35 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.36/1.37
% 0.36/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 ncf(matrix, plain, [(400 ^ _55656) ^ [] : [-(relation(398 ^ []))], (402 ^ _55656) ^ [] : [-(in(ordered_pair(396 ^ [], 397 ^ []), 398 ^ []))], (404 ^ _55656) ^ [] : [in(396 ^ [], relation_field(398 ^ [])), in(397 ^ [], relation_field(398 ^ []))], (68 ^ _55656) ^ [_57894, _57896] : [_57896 = _57894, -(relation_dom(_57896) = relation_dom(_57894))], (74 ^ _55656) ^ [_58112, _58114] : [_58114 = _58112, -(relation_rng(_58114) = relation_rng(_58112))], (80 ^ _55656) ^ [_58330, _58332] : [_58332 = _58330, -(singleton(_58332) = singleton(_58330))], (86 ^ _55656) ^ [_58576, _58578, _58580, _58582] : [-(unordered_pair(_58582, _58578) = unordered_pair(_58580, _58576)), _58582 = _58580, _58578 = _58576], (96 ^ _55656) ^ [_58935, _58937, _58939, _58941] : [-(set_union2(_58941, _58937) = set_union2(_58939, _58935)), _58941 = _58939, _58937 = _58935], (116 ^ _55656) ^ [_59605, _59607] : [_59607 = _59605, -(relation_field(_59607) = relation_field(_59605))], (106 ^ _55656) ^ [_59294, _59296, _59298, _59300] : [-(ordered_pair(_59300, _59296) = ordered_pair(_59298, _59294)), _59300 = _59298, _59296 = _59294], (2 ^ _55656) ^ [_55800] : [-(_55800 = _55800)], (4 ^ _55656) ^ [_55907, _55909] : [_55909 = _55907, -(_55907 = _55909)], (10 ^ _55656) ^ [_56111, _56113, _56115] : [-(_56115 = _56111), _56115 = _56113, _56113 = _56111], (20 ^ _55656) ^ [_56452, _56454, _56456, _56458] : [-(element(_56456, _56452)), element(_56458, _56454), _56458 = _56456, _56454 = _56452], (34 ^ _55656) ^ [_56868, _56870] : [-(empty(_56868)), _56870 = _56868, empty(_56870)], (44 ^ _55656) ^ [_57163, _57165] : [-(relation(_57163)), _57165 = _57163, relation(_57165)], (54 ^ _55656) ^ [_57466, _57468, _57470, _57472] : [-(in(_57470, _57466)), in(_57472, _57468), _57472 = _57470, _57468 = _57466], (122 ^ _55656) ^ [_59849, _59851] : [in(_59851, _59849), in(_59849, _59851)], (128 ^ _55656) ^ [_60045, _60047] : [-(unordered_pair(_60047, _60045) = unordered_pair(_60045, _60047))], (130 ^ _55656) ^ [_60145, _60147] : [-(set_union2(_60147, _60145) = set_union2(_60145, _60147))], (154 ^ _55656) ^ [_61028, _61030, _61032] : [-(_61028 = set_union2(_61032, _61030)), 158 ^ _55656 : [(159 ^ _55656) ^ [] : [-(in(155 ^ [_61028, _61030, _61032], _61028))], (161 ^ _55656) ^ [] : [in(155 ^ [_61028, _61030, _61032], _61032)], (163 ^ _55656) ^ [] : [in(155 ^ [_61028, _61030, _61032], _61030)]], 164 ^ _55656 : [(171 ^ _55656) ^ [] : [in(155 ^ [_61028, _61030, _61032], _61028)], (165 ^ _55656) ^ [] : [-(in(155 ^ [_61028, _61030, _61032], _61032)), -(in(155 ^ [_61028, _61030, _61032], _61030))]]], (132 ^ _55656) ^ [_60303, _60305, _60307] : [_60303 = set_union2(_60307, _60305), 135 ^ _55656 : [(146 ^ _55656) ^ [_60763] : [147 ^ _55656 : [(148 ^ _55656) ^ [] : [in(_60763, _60307)], (150 ^ _55656) ^ [] : [in(_60763, _60305)]], -(in(_60763, _60303))], (136 ^ _55656) ^ [_60485] : [in(_60485, _60303), -(in(_60485, _60307)), -(in(_60485, _60305))]]], (175 ^ _55656) ^ [_61765] : [relation(_61765), 178 ^ _55656 : [(196 ^ _55656) ^ [_62577] : [-(_62577 = relation_dom(_61765)), 200 ^ _55656 : [(201 ^ _55656) ^ [] : [-(in(197 ^ [_61765, _62577], _62577))], (203 ^ _55656) ^ [_62840] : [in(ordered_pair(197 ^ [_61765, _62577], _62840), _61765)]], 205 ^ _55656 : [(206 ^ _55656) ^ [] : [-(in(ordered_pair(197 ^ [_61765, _62577], 204 ^ [_61765, _62577]), _61765))], (208 ^ _55656) ^ [] : [in(197 ^ [_61765, _62577], _62577)]]], (179 ^ _55656) ^ [_61946] : [_61946 = relation_dom(_61765), 182 ^ _55656 : [(183 ^ _55656) ^ [_62126] : [in(_62126, _61946), -(in(ordered_pair(_62126, 186 ^ [_61765, _61946, _62126]), _61765))], (190 ^ _55656) ^ [_62370] : [191 ^ _55656 : [(192 ^ _55656) ^ [_62449] : [in(ordered_pair(_62370, _62449), _61765)]], -(in(_62370, _61946))]]]]], (212 ^ _55656) ^ [_63206] : [relation(_63206), 215 ^ _55656 : [(233 ^ _55656) ^ [_64018] : [-(_64018 = relation_rng(_63206)), 237 ^ _55656 : [(238 ^ _55656) ^ [] : [-(in(234 ^ [_63206, _64018], _64018))], (240 ^ _55656) ^ [_64281] : [in(ordered_pair(_64281, 234 ^ [_63206, _64018]), _63206)]], 242 ^ _55656 : [(243 ^ _55656) ^ [] : [-(in(ordered_pair(241 ^ [_63206, _64018], 234 ^ [_63206, _64018]), _63206))], (245 ^ _55656) ^ [] : [in(234 ^ [_63206, _64018], _64018)]]], (216 ^ _55656) ^ [_63387] : [_63387 = relation_rng(_63206), 219 ^ _55656 : [(220 ^ _55656) ^ [_63567] : [in(_63567, _63387), -(in(ordered_pair(223 ^ [_63206, _63387, _63567], _63567), _63206))], (227 ^ _55656) ^ [_63811] : [228 ^ _55656 : [(229 ^ _55656) ^ [_63890] : [in(ordered_pair(_63890, _63811), _63206)]], -(in(_63811, _63387))]]]]], (249 ^ _55656) ^ [_64646, _64648] : [-(ordered_pair(_64648, _64646) = unordered_pair(unordered_pair(_64648, _64646), singleton(_64648)))], (251 ^ _55656) ^ [_64752] : [relation(_64752), -(relation_field(_64752) = set_union2(relation_dom(_64752), relation_rng(_64752)))], (257 ^ _55656) ^ [] : [true___, -(true___)], (263 ^ _55656) ^ [] : [true___, -(true___)], (269 ^ _55656) ^ [] : [true___, -(true___)], (275 ^ _55656) ^ [] : [true___, -(true___)], (281 ^ _55656) ^ [] : [true___, -(true___)], (287 ^ _55656) ^ [] : [true___, -(true___)], (293 ^ _55656) ^ [] : [true___, -(true___)], (299 ^ _55656) ^ [] : [true___, -(true___)], (305 ^ _55656) ^ [] : [true___, -(true___)], (312 ^ _55656) ^ [_66053] : [-(element(310 ^ [_66053], _66053))], (314 ^ _55656) ^ [] : [-(empty(empty_set))], (316 ^ _55656) ^ [_66202, _66204] : [empty(ordered_pair(_66204, _66202))], (318 ^ _55656) ^ [_66313, _66315] : [-(relation(set_union2(_66315, _66313))), relation(_66315), relation(_66313)], (328 ^ _55656) ^ [_66582] : [empty(singleton(_66582))], (330 ^ _55656) ^ [_66690, _66692] : [-(empty(_66692)), empty(set_union2(_66692, _66690))], (336 ^ _55656) ^ [_66890, _66892] : [empty(unordered_pair(_66892, _66890))], (338 ^ _55656) ^ [_67001, _67003] : [-(empty(_67003)), empty(set_union2(_67001, _67003))], (344 ^ _55656) ^ [_67202, _67204] : [-(set_union2(_67204, _67204) = _67204)], (347 ^ _55656) ^ [] : [-(empty(345 ^ []))], (349 ^ _55656) ^ [] : [-(relation(345 ^ []))], (352 ^ _55656) ^ [] : [-(empty(350 ^ []))], (355 ^ _55656) ^ [] : [empty(353 ^ [])], (357 ^ _55656) ^ [_67613] : [-(set_union2(_67613, empty_set) = _67613)], (359 ^ _55656) ^ [_67723, _67725] : [in(_67725, _67723), -(element(_67725, _67723))], (365 ^ _55656) ^ [_67933, _67935] : [element(_67935, _67933), -(empty(_67933)), -(in(_67935, _67933))], (375 ^ _55656) ^ [_68217] : [empty(_68217), -(_68217 = empty_set)], (381 ^ _55656) ^ [_68419, _68421] : [in(_68421, _68419), empty(_68419)], (387 ^ _55656) ^ [_68606, _68608] : [empty(_68608), -(_68608 = _68606), empty(_68606)]], input).
% 0.36/1.37 ncf('1',plain,[in(396 ^ [], relation_field(398 ^ [])), in(397 ^ [], relation_field(398 ^ []))],start(404 ^ 0)).
% 0.36/1.37 ncf('1.1',plain,[-(in(396 ^ [], relation_field(398 ^ []))), 148 : in(396 ^ [], relation_dom(398 ^ [])), 146 : relation_field(398 ^ []) = set_union2(relation_dom(398 ^ []), relation_rng(398 ^ []))],extension(132 ^ 1,bind([[_60303, _60305, _60307, _60763], [relation_field(398 ^ []), relation_rng(398 ^ []), relation_dom(398 ^ []), 396 ^ []]]))).
% 0.36/1.37 ncf('1.1.1',plain,[-(in(396 ^ [], relation_dom(398 ^ []))), 192 : in(ordered_pair(396 ^ [], 397 ^ []), 398 ^ []), 190 : relation_dom(398 ^ []) = relation_dom(398 ^ []), 179 : relation(398 ^ [])],extension(175 ^ 6,bind([[_61765, _61946, _62370, _62449], [398 ^ [], relation_dom(398 ^ []), 396 ^ [], 397 ^ []]]))).
% 0.36/1.37 ncf('1.1.1.1',plain,[-(in(ordered_pair(396 ^ [], 397 ^ []), 398 ^ []))],extension(402 ^ 13)).
% 0.36/1.37 ncf('1.1.1.2',plain,[-(relation_dom(398 ^ []) = relation_dom(398 ^ []))],extension(2 ^ 9,bind([[_55800], [relation_dom(398 ^ [])]]))).
% 0.36/1.37 ncf('1.1.1.3',plain,[-(relation(398 ^ []))],extension(400 ^ 7)).
% 0.36/1.37 ncf('1.1.2',plain,[-(relation_field(398 ^ []) = set_union2(relation_dom(398 ^ []), relation_rng(398 ^ []))), relation(398 ^ [])],extension(251 ^ 2,bind([[_64752], [398 ^ []]]))).
% 0.36/1.37 ncf('1.1.2.1',plain,[-(relation(398 ^ []))],extension(400 ^ 3)).
% 0.36/1.37 ncf('1.2',plain,[-(in(397 ^ [], relation_field(398 ^ []))), 150 : in(397 ^ [], relation_rng(398 ^ [])), 146 : relation_field(398 ^ []) = set_union2(relation_dom(398 ^ []), relation_rng(398 ^ []))],extension(132 ^ 1,bind([[_60303, _60305, _60307, _60763], [relation_field(398 ^ []), relation_rng(398 ^ []), relation_dom(398 ^ []), 397 ^ []]]))).
% 0.36/1.37 ncf('1.2.1',plain,[-(in(397 ^ [], relation_rng(398 ^ []))), 229 : in(ordered_pair(396 ^ [], 397 ^ []), 398 ^ []), 227 : relation_rng(398 ^ []) = relation_rng(398 ^ []), 216 : relation(398 ^ [])],extension(212 ^ 6,bind([[_63206, _63387, _63811, _63890], [398 ^ [], relation_rng(398 ^ []), 397 ^ [], 396 ^ []]]))).
% 0.36/1.37 ncf('1.2.1.1',plain,[-(in(ordered_pair(396 ^ [], 397 ^ []), 398 ^ []))],extension(402 ^ 13)).
% 0.36/1.37 ncf('1.2.1.2',plain,[-(relation_rng(398 ^ []) = relation_rng(398 ^ []))],extension(2 ^ 9,bind([[_55800], [relation_rng(398 ^ [])]]))).
% 0.36/1.37 ncf('1.2.1.3',plain,[-(relation(398 ^ []))],extension(400 ^ 7)).
% 0.36/1.37 ncf('1.2.2',plain,[-(relation_field(398 ^ []) = set_union2(relation_dom(398 ^ []), relation_rng(398 ^ []))), relation(398 ^ [])],extension(251 ^ 2,bind([[_64752], [398 ^ []]]))).
% 0.36/1.37 ncf('1.2.2.1',plain,[-(relation(398 ^ []))],extension(400 ^ 3)).
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------