%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU181+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 0.65s 1.38s
% Output   : Proof 0.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU181+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n010.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 12:16:42 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.65/1.38  
% 0.65/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.65/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.65/1.38  %-----------------------------------------------------
% 0.65/1.38  ncf(matrix, plain, [(464 ^ _72262) ^ [] : [-(relation(462 ^ []))], (466 ^ _72262) ^ [] : [relation_rng(462 ^ []) = relation_dom(relation_inverse(462 ^ [])), relation_dom(462 ^ []) = relation_rng(relation_inverse(462 ^ []))], (82 ^ _72262) ^ [_74974, _74976, _74978, _74980] : [-(ordered_pair(_74980, _74976) = ordered_pair(_74978, _74974)), _74980 = _74978, _74976 = _74974], (92 ^ _72262) ^ [_75305, _75307] : [_75307 = _75305, -(singleton(_75307) = singleton(_75305))], (98 ^ _72262) ^ [_75551, _75553, _75555, _75557] : [-(unordered_pair(_75557, _75553) = unordered_pair(_75555, _75551)), _75557 = _75555, _75553 = _75551], (108 ^ _72262) ^ [_75882, _75884] : [_75884 = _75882, -(powerset(_75884) = powerset(_75882))], (114 ^ _72262) ^ [_76100, _76102] : [_76102 = _76100, -(relation_dom(_76102) = relation_dom(_76100))], (120 ^ _72262) ^ [_76318, _76320] : [_76320 = _76318, -(relation_rng(_76320) = relation_rng(_76318))], (126 ^ _72262) ^ [_76516, _76518] : [_76518 = _76516, -(relation_inverse(_76518) = relation_inverse(_76516))], (2 ^ _72262) ^ [_72406] : [-(_72406 = _72406)], (4 ^ _72262) ^ [_72513, _72515] : [_72515 = _72513, -(_72513 = _72515)], (10 ^ _72262) ^ [_72717, _72719, _72721] : [-(_72721 = _72717), _72721 = _72719, _72719 = _72717], (20 ^ _72262) ^ [_73058, _73060, _73062, _73064] : [-(subset(_73062, _73058)), subset(_73064, _73060), _73064 = _73062, _73060 = _73058], (34 ^ _72262) ^ [_73502, _73504, _73506, _73508] : [-(element(_73506, _73502)), element(_73508, _73504), _73508 = _73506, _73504 = _73502], (48 ^ _72262) ^ [_73946, _73948, _73950, _73952] : [-(in(_73950, _73946)), in(_73952, _73948), _73952 = _73950, _73948 = _73946], (62 ^ _72262) ^ [_74362, _74364] : [-(empty(_74362)), _74364 = _74362, empty(_74364)], (72 ^ _72262) ^ [_74637, _74639] : [-(relation(_74637)), _74639 = _74637, relation(_74639)], (132 ^ _72262) ^ [_76760, _76762] : [in(_76762, _76760), in(_76760, _76762)], (138 ^ _72262) ^ [_76956, _76958] : [-(unordered_pair(_76958, _76956) = unordered_pair(_76956, _76958))], (140 ^ _72262) ^ [_77100, _77102] : [_77102 = _77100, 143 ^ _72262 : [(144 ^ _72262) ^ [] : [-(subset(_77102, _77100))], (146 ^ _72262) ^ [] : [-(subset(_77100, _77102))]]], (148 ^ _72262) ^ [_77337, _77339] : [-(_77339 = _77337), subset(_77339, _77337), subset(_77337, _77339)], (168 ^ _72262) ^ [_77981, _77983] : [170 ^ _72262 : [(171 ^ _72262) ^ [] : [-(in(169 ^ [_77981, _77983], _77983))], (173 ^ _72262) ^ [] : [in(169 ^ [_77981, _77983], _77981)]], -(subset(_77983, _77981))], (158 ^ _72262) ^ [_77667, _77669] : [subset(_77669, _77667), 161 ^ _72262 : [(162 ^ _72262) ^ [_77804] : [in(_77804, _77669), -(in(_77804, _77667))]]], (177 ^ _72262) ^ [_78324] : [relation(_78324), 180 ^ _72262 : [(198 ^ _72262) ^ [_79136] : [-(_79136 = relation_dom(_78324)), 202 ^ _72262 : [(203 ^ _72262) ^ [] : [-(in(199 ^ [_78324, _79136], _79136))], (205 ^ _72262) ^ [_79399] : [in(ordered_pair(199 ^ [_78324, _79136], _79399), _78324)]], 207 ^ _72262 : [(208 ^ _72262) ^ [] : [-(in(ordered_pair(199 ^ [_78324, _79136], 206 ^ [_78324, _79136]), _78324))], (210 ^ _72262) ^ [] : [in(199 ^ [_78324, _79136], _79136)]]], (181 ^ _72262) ^ [_78505] : [_78505 = relation_dom(_78324), 184 ^ _72262 : [(185 ^ _72262) ^ [_78685] : [in(_78685, _78505), -(in(ordered_pair(_78685, 188 ^ [_78324, _78505, _78685]), _78324))], (192 ^ _72262) ^ [_78929] : [193 ^ _72262 : [(194 ^ _72262) ^ [_79008] : [in(ordered_pair(_78929, _79008), _78324)]], -(in(_78929, _78505))]]]]], (214 ^ _72262) ^ [_79765] : [relation(_79765), 217 ^ _72262 : [(235 ^ _72262) ^ [_80577] : [-(_80577 = relation_rng(_79765)), 239 ^ _72262 : [(240 ^ _72262) ^ [] : [-(in(236 ^ [_79765, _80577], _80577))], (242 ^ _72262) ^ [_80840] : [in(ordered_pair(_80840, 236 ^ [_79765, _80577]), _79765)]], 244 ^ _72262 : [(245 ^ _72262) ^ [] : [-(in(ordered_pair(243 ^ [_79765, _80577], 236 ^ [_79765, _80577]), _79765))], (247 ^ _72262) ^ [] : [in(236 ^ [_79765, _80577], _80577)]]], (218 ^ _72262) ^ [_79946] : [_79946 = relation_rng(_79765), 221 ^ _72262 : [(222 ^ _72262) ^ [_80126] : [in(_80126, _79946), -(in(ordered_pair(225 ^ [_79765, _79946, _80126], _80126), _79765))], (229 ^ _72262) ^ [_80370] : [230 ^ _72262 : [(231 ^ _72262) ^ [_80449] : [in(ordered_pair(_80449, _80370), _79765)]], -(in(_80370, _79946))]]]]], (251 ^ _72262) ^ [_81205, _81207] : [-(ordered_pair(_81207, _81205) = unordered_pair(unordered_pair(_81207, _81205), singleton(_81207)))], (253 ^ _72262) ^ [_81311] : [relation(_81311), 256 ^ _72262 : [(257 ^ _72262) ^ [_81471] : [relation(_81471), 260 ^ _72262 : [(277 ^ _72262) ^ [] : [-(_81471 = relation_inverse(_81311)), 282 ^ _72262 : [(283 ^ _72262) ^ [] : [-(in(ordered_pair(278 ^ [_81311, _81471], 279 ^ [_81311, _81471]), _81471))], (285 ^ _72262) ^ [] : [in(ordered_pair(279 ^ [_81311, _81471], 278 ^ [_81311, _81471]), _81311)]], 286 ^ _72262 : [(287 ^ _72262) ^ [] : [-(in(ordered_pair(279 ^ [_81311, _81471], 278 ^ [_81311, _81471]), _81311))], (289 ^ _72262) ^ [] : [in(ordered_pair(278 ^ [_81311, _81471], 279 ^ [_81311, _81471]), _81471)]]], (261 ^ _72262) ^ [] : [_81471 = relation_inverse(_81311), 264 ^ _72262 : [(265 ^ _72262) ^ [_81780, _81782] : [in(ordered_pair(_81782, _81780), _81471), -(in(ordered_pair(_81780, _81782), _81311))], (271 ^ _72262) ^ [_81970, _81972] : [in(ordered_pair(_81970, _81972), _81311), -(in(ordered_pair(_81972, _81970), _81471))]]]]]]], (293 ^ _72262) ^ [] : [true___, -(true___)], (299 ^ _72262) ^ [] : [true___, -(true___)], (305 ^ _72262) ^ [] : [true___, -(true___)], (311 ^ _72262) ^ [] : [true___, -(true___)], (317 ^ _72262) ^ [] : [true___, -(true___)], (323 ^ _72262) ^ [] : [true___, -(true___)], (329 ^ _72262) ^ [_83489] : [relation(_83489), -(relation(relation_inverse(_83489)))], (335 ^ _72262) ^ [] : [true___, -(true___)], (341 ^ _72262) ^ [] : [true___, -(true___)], (348 ^ _72262) ^ [_83941] : [-(element(346 ^ [_83941], _83941))], (350 ^ _72262) ^ [_84023] : [empty(powerset(_84023))], (352 ^ _72262) ^ [] : [-(empty(empty_set))], (354 ^ _72262) ^ [_84168, _84170] : [empty(ordered_pair(_84170, _84168))], (356 ^ _72262) ^ [_84249] : [empty(singleton(_84249))], (358 ^ _72262) ^ [_84341, _84343] : [empty(unordered_pair(_84343, _84341))], (360 ^ _72262) ^ [_84438] : [relation(_84438), -(relation_inverse(relation_inverse(_84438)) = _84438)], (367 ^ _72262) ^ [] : [-(empty(365 ^ []))], (369 ^ _72262) ^ [] : [-(relation(365 ^ []))], (371 ^ _72262) ^ [_84783] : [-(empty(_84783)), 375 ^ _72262 : [(376 ^ _72262) ^ [] : [-(element(374 ^ [_84783], powerset(_84783)))], (378 ^ _72262) ^ [] : [empty(374 ^ [_84783])]]], (381 ^ _72262) ^ [] : [-(empty(379 ^ []))], (384 ^ _72262) ^ [_85255] : [-(element(382 ^ [_85255], powerset(_85255)))], (386 ^ _72262) ^ [_85306] : [-(empty(382 ^ [_85306]))], (389 ^ _72262) ^ [] : [empty(387 ^ [])], (391 ^ _72262) ^ [_85494, _85496] : [-(subset(_85496, _85496))], (393 ^ _72262) ^ [_85603, _85605] : [in(_85605, _85603), -(element(_85605, _85603))], (399 ^ _72262) ^ [_85813, _85815] : [element(_85815, _85813), -(empty(_85813)), -(in(_85815, _85813))], (409 ^ _72262) ^ [_86140, _86142] : [element(_86142, powerset(_86140)), -(subset(_86142, _86140))], (415 ^ _72262) ^ [_86306, _86308] : [subset(_86308, _86306), -(element(_86308, powerset(_86306)))], (421 ^ _72262) ^ [_86536, _86538, _86540] : [-(element(_86540, _86536)), in(_86540, _86538), element(_86538, powerset(_86536))], (431 ^ _72262) ^ [_86863, _86865, _86867] : [in(_86867, _86865), element(_86865, powerset(_86863)), empty(_86863)], (441 ^ _72262) ^ [_87159] : [empty(_87159), -(_87159 = empty_set)], (447 ^ _72262) ^ [_87361, _87363] : [in(_87363, _87361), empty(_87361)], (453 ^ _72262) ^ [_87548, _87550] : [empty(_87550), -(_87550 = _87548), empty(_87548)]], input).
% 0.65/1.38  ncf('1',plain,[relation_rng(462 ^ []) = relation_dom(relation_inverse(462 ^ [])), relation_dom(462 ^ []) = relation_rng(relation_inverse(462 ^ []))],start(466 ^ 0)).
% 0.65/1.38  ncf('1.1',plain,[-(relation_rng(462 ^ []) = relation_dom(relation_inverse(462 ^ []))), 205 : in(ordered_pair(199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], 225 ^ [462 ^ [], relation_rng(462 ^ []), 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]]), relation_inverse(462 ^ [])), 210 : in(199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], relation_rng(462 ^ [])), 198 : relation(relation_inverse(462 ^ []))],extension(177 ^ 1,bind([[_78324, _79136, _79399], [relation_inverse(462 ^ []), relation_rng(462 ^ []), 225 ^ [462 ^ [], relation_rng(462 ^ []), 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]]]]))).
% 0.65/1.38  ncf('1.1.1',plain,[-(in(ordered_pair(199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], 225 ^ [462 ^ [], relation_rng(462 ^ []), 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]]), relation_inverse(462 ^ []))), 265 : in(ordered_pair(225 ^ [462 ^ [], relation_rng(462 ^ []), 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]], 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]), 462 ^ []), 265 : 462 ^ [] = relation_inverse(relation_inverse(462 ^ [])), 261 : relation(462 ^ []), 257 : relation(relation_inverse(462 ^ []))],extension(253 ^ 6,bind([[_81311, _81471, _81780, _81782], [relation_inverse(462 ^ []), 462 ^ [], 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], 225 ^ [462 ^ [], relation_rng(462 ^ []), 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]]]]))).
% 0.65/1.38  ncf('1.1.1.1',plain,[-(in(ordered_pair(225 ^ [462 ^ [], relation_rng(462 ^ []), 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]], 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]), 462 ^ [])), 222 : in(199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], relation_rng(462 ^ [])), 222 : relation_rng(462 ^ []) = relation_rng(462 ^ []), 218 : relation(462 ^ [])],extension(214 ^ 13,bind([[_79765, _79946, _80126], [462 ^ [], relation_rng(462 ^ []), 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]]]))).
% 0.65/1.38  ncf('1.1.1.1.1',plain,[-(in(199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], relation_rng(462 ^ [])))],extension(203 ^ 18)).
% 0.65/1.38  ncf('1.1.1.1.2',plain,[-(relation_rng(462 ^ []) = relation_rng(462 ^ []))],extension(2 ^ 16,bind([[_72406], [relation_rng(462 ^ [])]]))).
% 0.65/1.38  ncf('1.1.1.1.3',plain,[-(relation(462 ^ []))],extension(464 ^ 14)).
% 0.65/1.38  ncf('1.1.1.2',plain,[-(462 ^ [] = relation_inverse(relation_inverse(462 ^ []))), relation_inverse(relation_inverse(462 ^ [])) = 462 ^ []],extension(4 ^ 11,bind([[_72513, _72515], [462 ^ [], relation_inverse(relation_inverse(462 ^ []))]]))).
% 0.65/1.38  ncf('1.1.1.2.1',plain,[-(relation_inverse(relation_inverse(462 ^ [])) = 462 ^ []), relation(462 ^ [])],extension(360 ^ 12,bind([[_84438], [462 ^ []]]))).
% 0.65/1.38  ncf('1.1.1.2.1.1',plain,[-(relation(462 ^ []))],extension(464 ^ 13)).
% 0.65/1.38  ncf('1.1.1.3',plain,[-(relation(462 ^ []))],extension(464 ^ 9)).
% 0.65/1.38  ncf('1.1.1.4',plain,[-(relation(relation_inverse(462 ^ []))), relation(462 ^ [])],extension(329 ^ 7,bind([[_83489], [462 ^ []]]))).
% 0.65/1.38  ncf('1.1.1.4.1',plain,[-(relation(462 ^ []))],extension(464 ^ 8)).
% 0.65/1.38  ncf('1.1.2',plain,[-(in(199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], relation_rng(462 ^ []))), 231 : in(ordered_pair(206 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]), 462 ^ []), 229 : relation_rng(462 ^ []) = relation_rng(462 ^ []), 218 : relation(462 ^ [])],extension(214 ^ 6,bind([[_79765, _79946, _80370, _80449], [462 ^ [], relation_rng(462 ^ []), 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], 206 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]]]))).
% 0.65/1.38  ncf('1.1.2.1',plain,[-(in(ordered_pair(206 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]), 462 ^ [])), 265 : in(ordered_pair(199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], 206 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]), relation_inverse(462 ^ [])), 265 : relation_inverse(462 ^ []) = relation_inverse(462 ^ []), 261 : relation(relation_inverse(462 ^ [])), 257 : relation(462 ^ [])],extension(253 ^ 13,bind([[_81311, _81471, _81780, _81782], [462 ^ [], relation_inverse(462 ^ []), 206 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], 199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]]]))).
% 0.65/1.38  ncf('1.1.2.1.1',plain,[-(in(ordered_pair(199 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])], 206 ^ [relation_inverse(462 ^ []), relation_rng(462 ^ [])]), relation_inverse(462 ^ [])))],extension(208 ^ 20)).
% 0.65/1.38  ncf('1.1.2.1.2',plain,[-(relation_inverse(462 ^ []) = relation_inverse(462 ^ []))],extension(2 ^ 18,bind([[_72406], [relation_inverse(462 ^ [])]]))).
% 0.65/1.38  ncf('1.1.2.1.3',plain,[-(relation(relation_inverse(462 ^ []))), relation(462 ^ [])],extension(329 ^ 16,bind([[_83489], [462 ^ []]]))).
% 0.65/1.38  ncf('1.1.2.1.3.1',plain,[-(relation(462 ^ []))],extension(464 ^ 17)).
% 0.65/1.38  ncf('1.1.2.1.4',plain,[-(relation(462 ^ []))],extension(464 ^ 14)).
% 0.65/1.38  ncf('1.1.2.2',plain,[-(relation_rng(462 ^ []) = relation_rng(462 ^ [])), 462 ^ [] = 462 ^ []],extension(120 ^ 9,bind([[_76318, _76320], [462 ^ [], 462 ^ []]]))).
% 0.65/1.38  ncf('1.1.2.2.1',plain,[-(462 ^ [] = 462 ^ [])],extension(2 ^ 10,bind([[_72406], [462 ^ []]]))).
% 0.65/1.38  ncf('1.1.2.3',plain,[-(relation(462 ^ []))],extension(464 ^ 7)).
% 0.65/1.38  ncf('1.1.3',plain,[-(relation(relation_inverse(462 ^ []))), relation(462 ^ [])],extension(329 ^ 2,bind([[_83489], [462 ^ []]]))).
% 0.65/1.38  ncf('1.1.3.1',plain,[-(relation(462 ^ []))],extension(464 ^ 3)).
% 0.65/1.38  ncf('1.2',plain,[-(relation_dom(462 ^ []) = relation_rng(relation_inverse(462 ^ []))), 242 : in(ordered_pair(188 ^ [462 ^ [], relation_dom(462 ^ []), 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]], 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]), relation_inverse(462 ^ [])), 247 : in(236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], relation_dom(462 ^ [])), 235 : relation(relation_inverse(462 ^ []))],extension(214 ^ 1,bind([[_79765, _80577, _80840], [relation_inverse(462 ^ []), relation_dom(462 ^ []), 188 ^ [462 ^ [], relation_dom(462 ^ []), 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]]]]))).
% 0.65/1.38  ncf('1.2.1',plain,[-(in(ordered_pair(188 ^ [462 ^ [], relation_dom(462 ^ []), 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]], 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]), relation_inverse(462 ^ []))), 265 : in(ordered_pair(236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], 188 ^ [462 ^ [], relation_dom(462 ^ []), 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]]), 462 ^ []), 265 : 462 ^ [] = relation_inverse(relation_inverse(462 ^ [])), 261 : relation(462 ^ []), 257 : relation(relation_inverse(462 ^ []))],extension(253 ^ 6,bind([[_81311, _81471, _81780, _81782], [relation_inverse(462 ^ []), 462 ^ [], 188 ^ [462 ^ [], relation_dom(462 ^ []), 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]], 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]]]))).
% 0.65/1.38  ncf('1.2.1.1',plain,[-(in(ordered_pair(236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], 188 ^ [462 ^ [], relation_dom(462 ^ []), 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]]), 462 ^ [])), 185 : in(236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], relation_dom(462 ^ [])), 185 : relation_dom(462 ^ []) = relation_dom(462 ^ []), 181 : relation(462 ^ [])],extension(177 ^ 13,bind([[_78324, _78505, _78685], [462 ^ [], relation_dom(462 ^ []), 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]]]))).
% 0.65/1.38  ncf('1.2.1.1.1',plain,[-(in(236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], relation_dom(462 ^ [])))],extension(240 ^ 18)).
% 0.65/1.38  ncf('1.2.1.1.2',plain,[-(relation_dom(462 ^ []) = relation_dom(462 ^ []))],extension(2 ^ 16,bind([[_72406], [relation_dom(462 ^ [])]]))).
% 0.65/1.38  ncf('1.2.1.1.3',plain,[-(relation(462 ^ []))],extension(464 ^ 14)).
% 0.65/1.38  ncf('1.2.1.2',plain,[-(462 ^ [] = relation_inverse(relation_inverse(462 ^ []))), relation_inverse(relation_inverse(462 ^ [])) = 462 ^ []],extension(4 ^ 11,bind([[_72513, _72515], [462 ^ [], relation_inverse(relation_inverse(462 ^ []))]]))).
% 0.65/1.38  ncf('1.2.1.2.1',plain,[-(relation_inverse(relation_inverse(462 ^ [])) = 462 ^ []), relation(462 ^ [])],extension(360 ^ 12,bind([[_84438], [462 ^ []]]))).
% 0.65/1.38  ncf('1.2.1.2.1.1',plain,[-(relation(462 ^ []))],extension(464 ^ 13)).
% 0.65/1.38  ncf('1.2.1.3',plain,[-(relation(462 ^ []))],extension(464 ^ 9)).
% 0.65/1.38  ncf('1.2.1.4',plain,[-(relation(relation_inverse(462 ^ []))), relation(462 ^ [])],extension(329 ^ 7,bind([[_83489], [462 ^ []]]))).
% 0.65/1.38  ncf('1.2.1.4.1',plain,[-(relation(462 ^ []))],extension(464 ^ 8)).
% 0.65/1.38  ncf('1.2.2',plain,[-(in(236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], relation_dom(462 ^ []))), 194 : in(ordered_pair(236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], 243 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]), 462 ^ []), 192 : relation_dom(462 ^ []) = relation_dom(462 ^ []), 181 : relation(462 ^ [])],extension(177 ^ 6,bind([[_78324, _78505, _78929, _79008], [462 ^ [], relation_dom(462 ^ []), 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], 243 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]]]))).
% 0.65/1.38  ncf('1.2.2.1',plain,[-(in(ordered_pair(236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], 243 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]), 462 ^ [])), 265 : in(ordered_pair(243 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]), relation_inverse(462 ^ [])), 265 : relation_inverse(462 ^ []) = relation_inverse(462 ^ []), 261 : relation(relation_inverse(462 ^ [])), 257 : relation(462 ^ [])],extension(253 ^ 13,bind([[_81311, _81471, _81780, _81782], [462 ^ [], relation_inverse(462 ^ []), 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], 243 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]]]))).
% 0.65/1.38  ncf('1.2.2.1.1',plain,[-(in(ordered_pair(243 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])], 236 ^ [relation_inverse(462 ^ []), relation_dom(462 ^ [])]), relation_inverse(462 ^ [])))],extension(245 ^ 20)).
% 0.65/1.38  ncf('1.2.2.1.2',plain,[-(relation_inverse(462 ^ []) = relation_inverse(462 ^ []))],extension(2 ^ 18,bind([[_72406], [relation_inverse(462 ^ [])]]))).
% 0.65/1.38  ncf('1.2.2.1.3',plain,[-(relation(relation_inverse(462 ^ []))), relation(462 ^ [])],extension(329 ^ 16,bind([[_83489], [462 ^ []]]))).
% 0.65/1.38  ncf('1.2.2.1.3.1',plain,[-(relation(462 ^ []))],extension(464 ^ 17)).
% 0.65/1.38  ncf('1.2.2.1.4',plain,[-(relation(462 ^ []))],extension(464 ^ 14)).
% 0.65/1.38  ncf('1.2.2.2',plain,[-(relation_dom(462 ^ []) = relation_dom(462 ^ [])), 462 ^ [] = 462 ^ []],extension(114 ^ 9,bind([[_76100, _76102], [462 ^ [], 462 ^ []]]))).
% 0.65/1.38  ncf('1.2.2.2.1',plain,[-(462 ^ [] = 462 ^ [])],extension(2 ^ 10,bind([[_72406], [462 ^ []]]))).
% 0.65/1.38  ncf('1.2.2.3',plain,[-(relation(462 ^ []))],extension(464 ^ 7)).
% 0.65/1.38  ncf('1.2.3',plain,[-(relation(relation_inverse(462 ^ []))), relation(462 ^ [])],extension(329 ^ 2,bind([[_83489], [462 ^ []]]))).
% 0.65/1.38  ncf('1.2.3.1',plain,[-(relation(462 ^ []))],extension(464 ^ 3)).
% 0.65/1.38  %-----------------------------------------------------
% 0.65/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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