TSTP Solution File: SEU190+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU190+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n002.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 12:02:35 EDT 2023
% Result : Theorem 1.03s 1.39s
% Output : Proof 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU190+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 13:45:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 1.03/1.39
% 1.03/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.03/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.03/1.39 %-----------------------------------------------------
% 1.03/1.39 ncf(matrix, plain, [(415 ^ _63003) ^ [] : [relation_dom(identity_relation(413 ^ [])) = 413 ^ [], relation_rng(identity_relation(413 ^ [])) = 413 ^ []], (68 ^ _63003) ^ [_65269, _65271, _65273, _65275] : [-(ordered_pair(_65275, _65271) = ordered_pair(_65273, _65269)), _65275 = _65273, _65271 = _65269], (78 ^ _63003) ^ [_65600, _65602] : [_65602 = _65600, -(singleton(_65602) = singleton(_65600))], (84 ^ _63003) ^ [_65846, _65848, _65850, _65852] : [-(unordered_pair(_65852, _65848) = unordered_pair(_65850, _65846)), _65852 = _65850, _65848 = _65846], (94 ^ _63003) ^ [_66177, _66179] : [_66179 = _66177, -(relation_dom(_66179) = relation_dom(_66177))], (100 ^ _63003) ^ [_66395, _66397] : [_66397 = _66395, -(relation_rng(_66397) = relation_rng(_66395))], (106 ^ _63003) ^ [_66593, _66595] : [_66595 = _66593, -(identity_relation(_66595) = identity_relation(_66593))], (2 ^ _63003) ^ [_63147] : [-(_63147 = _63147)], (4 ^ _63003) ^ [_63254, _63256] : [_63256 = _63254, -(_63254 = _63256)], (10 ^ _63003) ^ [_63458, _63460, _63462] : [-(_63462 = _63458), _63462 = _63460, _63460 = _63458], (20 ^ _63003) ^ [_63771, _63773] : [-(relation(_63771)), _63773 = _63771, relation(_63773)], (30 ^ _63003) ^ [_64094, _64096, _64098, _64100] : [-(element(_64098, _64094)), element(_64100, _64096), _64100 = _64098, _64096 = _64094], (58 ^ _63003) ^ [_64934, _64936] : [-(empty(_64934)), _64936 = _64934, empty(_64936)], (44 ^ _63003) ^ [_64538, _64540, _64542, _64544] : [-(in(_64542, _64538)), in(_64544, _64540), _64544 = _64542, _64540 = _64538], (112 ^ _63003) ^ [_66833, _66835] : [in(_66835, _66833), in(_66833, _66835)], (118 ^ _63003) ^ [_67030] : [empty(_67030), -(relation(_67030))], (124 ^ _63003) ^ [_67215, _67217] : [-(unordered_pair(_67217, _67215) = unordered_pair(_67215, _67217))], (126 ^ _63003) ^ [_67330, _67332] : [relation(_67330), 129 ^ _63003 : [(152 ^ _63003) ^ [] : [-(_67330 = identity_relation(_67332)), 165 ^ _63003 : [(166 ^ _63003) ^ [] : [-(in(153 ^ [_67330, _67332], _67332))], (168 ^ _63003) ^ [] : [-(153 ^ [_67330, _67332] = 154 ^ [_67330, _67332])], (170 ^ _63003) ^ [] : [in(ordered_pair(153 ^ [_67330, _67332], 154 ^ [_67330, _67332]), _67330)]], 157 ^ _63003 : [(158 ^ _63003) ^ [] : [-(in(ordered_pair(153 ^ [_67330, _67332], 154 ^ [_67330, _67332]), _67330))], (160 ^ _63003) ^ [] : [in(153 ^ [_67330, _67332], _67332), 153 ^ [_67330, _67332] = 154 ^ [_67330, _67332]]]], (130 ^ _63003) ^ [] : [_67330 = identity_relation(_67332), 133 ^ _63003 : [(134 ^ _63003) ^ [_67640, _67642] : [in(ordered_pair(_67642, _67640), _67330), 137 ^ _63003 : [(138 ^ _63003) ^ [] : [-(in(_67642, _67332))], (140 ^ _63003) ^ [] : [-(_67642 = _67640)]]], (142 ^ _63003) ^ [_67903, _67905] : [-(in(ordered_pair(_67905, _67903), _67330)), in(_67905, _67332), _67905 = _67903]]]]], (174 ^ _63003) ^ [_68968] : [relation(_68968), 177 ^ _63003 : [(195 ^ _63003) ^ [_69780] : [-(_69780 = relation_dom(_68968)), 199 ^ _63003 : [(200 ^ _63003) ^ [] : [-(in(196 ^ [_68968, _69780], _69780))], (202 ^ _63003) ^ [_70043] : [in(ordered_pair(196 ^ [_68968, _69780], _70043), _68968)]], 204 ^ _63003 : [(205 ^ _63003) ^ [] : [-(in(ordered_pair(196 ^ [_68968, _69780], 203 ^ [_68968, _69780]), _68968))], (207 ^ _63003) ^ [] : [in(196 ^ [_68968, _69780], _69780)]]], (178 ^ _63003) ^ [_69149] : [_69149 = relation_dom(_68968), 181 ^ _63003 : [(182 ^ _63003) ^ [_69329] : [in(_69329, _69149), -(in(ordered_pair(_69329, 185 ^ [_68968, _69149, _69329]), _68968))], (189 ^ _63003) ^ [_69573] : [190 ^ _63003 : [(191 ^ _63003) ^ [_69652] : [in(ordered_pair(_69573, _69652), _68968)]], -(in(_69573, _69149))]]]]], (211 ^ _63003) ^ [_70409] : [relation(_70409), 214 ^ _63003 : [(232 ^ _63003) ^ [_71221] : [-(_71221 = relation_rng(_70409)), 236 ^ _63003 : [(237 ^ _63003) ^ [] : [-(in(233 ^ [_70409, _71221], _71221))], (239 ^ _63003) ^ [_71484] : [in(ordered_pair(_71484, 233 ^ [_70409, _71221]), _70409)]], 241 ^ _63003 : [(242 ^ _63003) ^ [] : [-(in(ordered_pair(240 ^ [_70409, _71221], 233 ^ [_70409, _71221]), _70409))], (244 ^ _63003) ^ [] : [in(233 ^ [_70409, _71221], _71221)]]], (215 ^ _63003) ^ [_70590] : [_70590 = relation_rng(_70409), 218 ^ _63003 : [(219 ^ _63003) ^ [_70770] : [in(_70770, _70590), -(in(ordered_pair(222 ^ [_70409, _70590, _70770], _70770), _70409))], (226 ^ _63003) ^ [_71014] : [227 ^ _63003 : [(228 ^ _63003) ^ [_71093] : [in(ordered_pair(_71093, _71014), _70409)]], -(in(_71014, _70590))]]]]], (248 ^ _63003) ^ [_71849, _71851] : [-(ordered_pair(_71851, _71849) = unordered_pair(unordered_pair(_71851, _71849), singleton(_71851)))], (250 ^ _63003) ^ [] : [true___, -(true___)], (256 ^ _63003) ^ [] : [true___, -(true___)], (262 ^ _63003) ^ [] : [true___, -(true___)], (268 ^ _63003) ^ [] : [true___, -(true___)], (274 ^ _63003) ^ [] : [true___, -(true___)], (280 ^ _63003) ^ [] : [true___, -(true___)], (286 ^ _63003) ^ [_72654] : [-(relation(identity_relation(_72654)))], (288 ^ _63003) ^ [] : [true___, -(true___)], (295 ^ _63003) ^ [_72891] : [-(element(293 ^ [_72891], _72891))], (297 ^ _63003) ^ [] : [-(empty(empty_set))], (299 ^ _63003) ^ [_73040, _73042] : [empty(ordered_pair(_73042, _73040))], (301 ^ _63003) ^ [_73121] : [empty(singleton(_73121))], (303 ^ _63003) ^ [_73213, _73215] : [empty(unordered_pair(_73215, _73213))], (305 ^ _63003) ^ [] : [-(empty(empty_set))], (307 ^ _63003) ^ [] : [-(relation(empty_set))], (309 ^ _63003) ^ [_73418] : [empty(relation_dom(_73418)), -(empty(_73418)), relation(_73418)], (319 ^ _63003) ^ [_73695] : [empty(relation_rng(_73695)), -(empty(_73695)), relation(_73695)], (329 ^ _63003) ^ [_73972] : [empty(_73972), 332 ^ _63003 : [(333 ^ _63003) ^ [] : [-(empty(relation_dom(_73972)))], (335 ^ _63003) ^ [] : [-(relation(relation_dom(_73972)))]]], (337 ^ _63003) ^ [_74237] : [empty(_74237), 340 ^ _63003 : [(341 ^ _63003) ^ [] : [-(empty(relation_rng(_74237)))], (343 ^ _63003) ^ [] : [-(relation(relation_rng(_74237)))]]], (346 ^ _63003) ^ [] : [-(empty(344 ^ []))], (348 ^ _63003) ^ [] : [-(relation(344 ^ []))], (351 ^ _63003) ^ [] : [-(empty(349 ^ []))], (354 ^ _63003) ^ [] : [empty(352 ^ [])], (356 ^ _63003) ^ [] : [-(relation(352 ^ []))], (359 ^ _63003) ^ [] : [empty(357 ^ [])], (361 ^ _63003) ^ [_74994, _74996] : [in(_74996, _74994), -(element(_74996, _74994))], (367 ^ _63003) ^ [_75204, _75206] : [element(_75206, _75204), -(empty(_75204)), -(in(_75206, _75204))], (377 ^ _63003) ^ [_75502, _75504] : [-(_75504 = _75502), 381 ^ _63003 : [(382 ^ _63003) ^ [] : [-(in(378 ^ [_75502, _75504], _75504))], (384 ^ _63003) ^ [] : [in(378 ^ [_75502, _75504], _75502)]], 385 ^ _63003 : [(386 ^ _63003) ^ [] : [-(in(378 ^ [_75502, _75504], _75502))], (388 ^ _63003) ^ [] : [in(378 ^ [_75502, _75504], _75504)]]], (392 ^ _63003) ^ [_76018] : [empty(_76018), -(_76018 = empty_set)], (398 ^ _63003) ^ [_76220, _76222] : [in(_76222, _76220), empty(_76220)], (404 ^ _63003) ^ [_76407, _76409] : [empty(_76409), -(_76409 = _76407), empty(_76407)]], input).
% 1.03/1.39 ncf('1',plain,[relation_dom(identity_relation(413 ^ [])) = 413 ^ [], relation_rng(identity_relation(413 ^ [])) = 413 ^ []],start(415 ^ 0)).
% 1.03/1.39 ncf('1.1',plain,[-(relation_dom(identity_relation(413 ^ [])) = 413 ^ []), 413 ^ [] = relation_dom(identity_relation(413 ^ []))],extension(4 ^ 1,bind([[_63254, _63256], [relation_dom(identity_relation(413 ^ [])), 413 ^ []]]))).
% 1.03/1.39 ncf('1.1.1',plain,[-(413 ^ [] = relation_dom(identity_relation(413 ^ []))), 202 : in(ordered_pair(196 ^ [identity_relation(413 ^ []), 413 ^ []], 196 ^ [identity_relation(413 ^ []), 413 ^ []]), identity_relation(413 ^ [])), 207 : in(196 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ []), 195 : relation(identity_relation(413 ^ []))],extension(174 ^ 2,bind([[_68968, _69780, _70043], [identity_relation(413 ^ []), 413 ^ [], 196 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.1.1.1',plain,[-(in(ordered_pair(196 ^ [identity_relation(413 ^ []), 413 ^ []], 196 ^ [identity_relation(413 ^ []), 413 ^ []]), identity_relation(413 ^ []))), 142 : in(196 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ []), 142 : 196 ^ [identity_relation(413 ^ []), 413 ^ []] = 196 ^ [identity_relation(413 ^ []), 413 ^ []], 142 : identity_relation(413 ^ []) = identity_relation(413 ^ []), 130 : relation(identity_relation(413 ^ []))],extension(126 ^ 7,bind([[_67330, _67332, _67903, _67905], [identity_relation(413 ^ []), 413 ^ [], 196 ^ [identity_relation(413 ^ []), 413 ^ []], 196 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.1.1.1.1',plain,[-(in(196 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ [])), in(196 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ []), 196 ^ [identity_relation(413 ^ []), 413 ^ []] = 196 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ [] = 413 ^ []],extension(44 ^ 12,bind([[_64538, _64540, _64542, _64544], [413 ^ [], 413 ^ [], 196 ^ [identity_relation(413 ^ []), 413 ^ []], 196 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.1.1.1.1.1',plain,[-(in(196 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ []))],extension(200 ^ 13)).
% 1.03/1.39 ncf('1.1.1.1.1.2',plain,[-(196 ^ [identity_relation(413 ^ []), 413 ^ []] = 196 ^ [identity_relation(413 ^ []), 413 ^ []])],extension(2 ^ 13,bind([[_63147], [196 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.1.1.1.1.3',plain,[-(413 ^ [] = 413 ^ [])],extension(2 ^ 13,bind([[_63147], [413 ^ []]]))).
% 1.03/1.39 ncf('1.1.1.1.2',plain,[-(196 ^ [identity_relation(413 ^ []), 413 ^ []] = 196 ^ [identity_relation(413 ^ []), 413 ^ []])],extension(2 ^ 12,bind([[_63147], [196 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.1.1.1.3',plain,[-(identity_relation(413 ^ []) = identity_relation(413 ^ [])), 413 ^ [] = 413 ^ []],extension(106 ^ 10,bind([[_66593, _66595], [413 ^ [], 413 ^ []]]))).
% 1.03/1.39 ncf('1.1.1.1.3.1',plain,[-(413 ^ [] = 413 ^ [])],extension(2 ^ 11,bind([[_63147], [413 ^ []]]))).
% 1.03/1.39 ncf('1.1.1.1.4',plain,[-(relation(identity_relation(413 ^ [])))],extension(286 ^ 8,bind([[_72654], [413 ^ []]]))).
% 1.03/1.39 ncf('1.1.1.2',plain,[-(in(196 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ [])), in(196 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ []), 196 ^ [identity_relation(413 ^ []), 413 ^ []] = 196 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ [] = 413 ^ []],extension(44 ^ 7,bind([[_64538, _64540, _64542, _64544], [413 ^ [], 413 ^ [], 196 ^ [identity_relation(413 ^ []), 413 ^ []], 196 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.1.1.2.1',plain,[-(in(196 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ [])), 134 : in(ordered_pair(196 ^ [identity_relation(413 ^ []), 413 ^ []], 203 ^ [identity_relation(413 ^ []), 413 ^ []]), identity_relation(413 ^ [])), 134 : identity_relation(413 ^ []) = identity_relation(413 ^ []), 130 : relation(identity_relation(413 ^ []))],extension(126 ^ 8,bind([[_67330, _67332, _67640, _67642], [identity_relation(413 ^ []), 413 ^ [], 203 ^ [identity_relation(413 ^ []), 413 ^ []], 196 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.1.1.2.1.1',plain,[-(in(ordered_pair(196 ^ [identity_relation(413 ^ []), 413 ^ []], 203 ^ [identity_relation(413 ^ []), 413 ^ []]), identity_relation(413 ^ [])))],extension(205 ^ 13)).
% 1.03/1.39 ncf('1.1.1.2.1.2',plain,[-(identity_relation(413 ^ []) = identity_relation(413 ^ []))],extension(2 ^ 11,bind([[_63147], [identity_relation(413 ^ [])]]))).
% 1.03/1.39 ncf('1.1.1.2.1.3',plain,[-(relation(identity_relation(413 ^ [])))],extension(286 ^ 9,bind([[_72654], [413 ^ []]]))).
% 1.03/1.39 ncf('1.1.1.2.2',plain,[-(196 ^ [identity_relation(413 ^ []), 413 ^ []] = 196 ^ [identity_relation(413 ^ []), 413 ^ []])],extension(2 ^ 8,bind([[_63147], [196 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.1.1.2.3',plain,[-(413 ^ [] = 413 ^ [])],extension(2 ^ 8,bind([[_63147], [413 ^ []]]))).
% 1.03/1.39 ncf('1.1.1.3',plain,[-(relation(identity_relation(413 ^ [])))],extension(286 ^ 3,bind([[_72654], [413 ^ []]]))).
% 1.03/1.39 ncf('1.2',plain,[-(relation_rng(identity_relation(413 ^ [])) = 413 ^ []), 413 ^ [] = relation_rng(identity_relation(413 ^ []))],extension(4 ^ 1,bind([[_63254, _63256], [relation_rng(identity_relation(413 ^ [])), 413 ^ []]]))).
% 1.03/1.39 ncf('1.2.1',plain,[-(413 ^ [] = relation_rng(identity_relation(413 ^ []))), 239 : in(ordered_pair(233 ^ [identity_relation(413 ^ []), 413 ^ []], 233 ^ [identity_relation(413 ^ []), 413 ^ []]), identity_relation(413 ^ [])), 244 : in(233 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ []), 232 : relation(identity_relation(413 ^ []))],extension(211 ^ 2,bind([[_70409, _71221, _71484], [identity_relation(413 ^ []), 413 ^ [], 233 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.2.1.1',plain,[-(in(ordered_pair(233 ^ [identity_relation(413 ^ []), 413 ^ []], 233 ^ [identity_relation(413 ^ []), 413 ^ []]), identity_relation(413 ^ []))), 142 : in(233 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ []), 142 : 233 ^ [identity_relation(413 ^ []), 413 ^ []] = 233 ^ [identity_relation(413 ^ []), 413 ^ []], 142 : identity_relation(413 ^ []) = identity_relation(413 ^ []), 130 : relation(identity_relation(413 ^ []))],extension(126 ^ 7,bind([[_67330, _67332, _67903, _67905], [identity_relation(413 ^ []), 413 ^ [], 233 ^ [identity_relation(413 ^ []), 413 ^ []], 233 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.2.1.1.1',plain,[-(in(233 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ [])), in(233 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ []), 233 ^ [identity_relation(413 ^ []), 413 ^ []] = 233 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ [] = 413 ^ []],extension(44 ^ 12,bind([[_64538, _64540, _64542, _64544], [413 ^ [], 413 ^ [], 233 ^ [identity_relation(413 ^ []), 413 ^ []], 233 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.2.1.1.1.1',plain,[-(in(233 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ []))],extension(237 ^ 13)).
% 1.03/1.39 ncf('1.2.1.1.1.2',plain,[-(233 ^ [identity_relation(413 ^ []), 413 ^ []] = 233 ^ [identity_relation(413 ^ []), 413 ^ []])],extension(2 ^ 13,bind([[_63147], [233 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.2.1.1.1.3',plain,[-(413 ^ [] = 413 ^ [])],extension(2 ^ 13,bind([[_63147], [413 ^ []]]))).
% 1.03/1.39 ncf('1.2.1.1.2',plain,[-(233 ^ [identity_relation(413 ^ []), 413 ^ []] = 233 ^ [identity_relation(413 ^ []), 413 ^ []])],extension(2 ^ 12,bind([[_63147], [233 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.2.1.1.3',plain,[-(identity_relation(413 ^ []) = identity_relation(413 ^ [])), 413 ^ [] = 413 ^ []],extension(106 ^ 10,bind([[_66593, _66595], [413 ^ [], 413 ^ []]]))).
% 1.03/1.39 ncf('1.2.1.1.3.1',plain,[-(413 ^ [] = 413 ^ [])],extension(2 ^ 11,bind([[_63147], [413 ^ []]]))).
% 1.03/1.39 ncf('1.2.1.1.4',plain,[-(relation(identity_relation(413 ^ [])))],extension(286 ^ 8,bind([[_72654], [413 ^ []]]))).
% 1.03/1.39 ncf('1.2.1.2',plain,[-(in(233 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ [])), in(240 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ []), 240 ^ [identity_relation(413 ^ []), 413 ^ []] = 233 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ [] = 413 ^ []],extension(44 ^ 7,bind([[_64538, _64540, _64542, _64544], [413 ^ [], 413 ^ [], 233 ^ [identity_relation(413 ^ []), 413 ^ []], 240 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.2.1.2.1',plain,[-(in(240 ^ [identity_relation(413 ^ []), 413 ^ []], 413 ^ [])), 134 : in(ordered_pair(240 ^ [identity_relation(413 ^ []), 413 ^ []], 233 ^ [identity_relation(413 ^ []), 413 ^ []]), identity_relation(413 ^ [])), 134 : identity_relation(413 ^ []) = identity_relation(413 ^ []), 130 : relation(identity_relation(413 ^ []))],extension(126 ^ 8,bind([[_67330, _67332, _67640, _67642], [identity_relation(413 ^ []), 413 ^ [], 233 ^ [identity_relation(413 ^ []), 413 ^ []], 240 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.2.1.2.1.1',plain,[-(in(ordered_pair(240 ^ [identity_relation(413 ^ []), 413 ^ []], 233 ^ [identity_relation(413 ^ []), 413 ^ []]), identity_relation(413 ^ [])))],extension(242 ^ 13)).
% 1.03/1.39 ncf('1.2.1.2.1.2',plain,[-(identity_relation(413 ^ []) = identity_relation(413 ^ []))],extension(2 ^ 11,bind([[_63147], [identity_relation(413 ^ [])]]))).
% 1.03/1.39 ncf('1.2.1.2.1.3',plain,[-(relation(identity_relation(413 ^ [])))],extension(286 ^ 9,bind([[_72654], [413 ^ []]]))).
% 1.03/1.39 ncf('1.2.1.2.2',plain,[-(240 ^ [identity_relation(413 ^ []), 413 ^ []] = 233 ^ [identity_relation(413 ^ []), 413 ^ []]), 134 : in(ordered_pair(240 ^ [identity_relation(413 ^ []), 413 ^ []], 233 ^ [identity_relation(413 ^ []), 413 ^ []]), identity_relation(413 ^ [])), 134 : identity_relation(413 ^ []) = identity_relation(413 ^ []), 130 : relation(identity_relation(413 ^ []))],extension(126 ^ 8,bind([[_67330, _67332, _67640, _67642], [identity_relation(413 ^ []), 413 ^ [], 233 ^ [identity_relation(413 ^ []), 413 ^ []], 240 ^ [identity_relation(413 ^ []), 413 ^ []]]]))).
% 1.03/1.39 ncf('1.2.1.2.2.1',plain,[-(in(ordered_pair(240 ^ [identity_relation(413 ^ []), 413 ^ []], 233 ^ [identity_relation(413 ^ []), 413 ^ []]), identity_relation(413 ^ [])))],extension(242 ^ 13)).
% 1.03/1.39 ncf('1.2.1.2.2.2',plain,[-(identity_relation(413 ^ []) = identity_relation(413 ^ []))],extension(2 ^ 11,bind([[_63147], [identity_relation(413 ^ [])]]))).
% 1.03/1.39 ncf('1.2.1.2.2.3',plain,[-(relation(identity_relation(413 ^ [])))],extension(286 ^ 9,bind([[_72654], [413 ^ []]]))).
% 1.03/1.39 ncf('1.2.1.2.3',plain,[-(413 ^ [] = 413 ^ [])],extension(2 ^ 8,bind([[_63147], [413 ^ []]]))).
% 1.03/1.39 ncf('1.2.1.3',plain,[-(relation(identity_relation(413 ^ [])))],extension(286 ^ 3,bind([[_72654], [413 ^ []]]))).
% 1.03/1.39 %-----------------------------------------------------
% 1.03/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------