%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU172+2 : 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 12:02:30 EDT 2023

% Result   : Theorem 43.46s 42.72s
% Output   : Proof 43.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU172+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 12:40:57 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 43.46/42.72  
% 43.46/42.72  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.46/42.72  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.46/42.72  %-----------------------------------------------------
% 43.46/42.72  ncf(matrix, plain, [(1374 ^ _250901) ^ [] : [-(in(1367 ^ [], 1368 ^ []))], (1372 ^ _250901) ^ [] : [-(in(1367 ^ [], subset_complement(1366 ^ [], 1368 ^ [])))], (1370 ^ _250901) ^ [] : [-(element(1368 ^ [], powerset(1366 ^ [])))], !, (953 ^ _202157) ^ [_235157, _235159, _235161, _235163] : [-(subset(cartesian_product2(_235163, _235159), cartesian_product2(_235161, _235157))), subset(_235163, _235161), subset(_235159, _235157)], (192 ^ _202157) ^ [_208678, _208680, _208682, _208684] : [-(subset_complement(_208684, _208680) = subset_complement(_208682, _208678)), _208684 = _208682, _208680 = _208678], (771 ^ _202157) ^ [_228528, _228530] : [-(set_union2(_228530, _228530) = _228530)], (902 ^ _202157) ^ [_233221] : [-(element(900 ^ [_233221], powerset(_233221)))], (899 ^ _202157) ^ [] : [-(empty(897 ^ []))], (904 ^ _202157) ^ [_233272] : [-(empty(900 ^ [_233272]))], (945 ^ _202157) ^ [_234812, _234814, _234816] : [subset(_234816, _234814), 948 ^ _202157 : [(951 ^ _202157) ^ [] : [-(subset(cartesian_product2(_234812, _234816), cartesian_product2(_234812, _234814)))], (949 ^ _202157) ^ [] : [-(subset(cartesian_product2(_234816, _234812), cartesian_product2(_234814, _234812)))]]], (1257 ^ _202157) ^ [_246013] : [-(unordered_pair(_246013, _246013) = singleton(_246013))], (759 ^ _202157) ^ [_228111, _228113] : [-(empty(_228113)), empty(set_union2(_228113, _228111))], (1144 ^ _202157) ^ [_242025, _242027] : [disjoint(_242027, _242025), 1145 ^ _202157 : [(1146 ^ _202157) ^ [_242117] : [in(_242117, _242027), in(_242117, _242025)]]], (865 ^ _202157) ^ [_231894, _231896] : [in(_231896, _231894), -(subset(_231896, union(_231894)))], (1338 ^ _202157) ^ [_248969, _248971] : [in(_248969, 1324 ^ [_248971]), 1342 ^ _202157 : [(1345 ^ _202157) ^ [_249281] : [subset(_249281, _248969), -(in(_249281, 1341 ^ [_248969, _248971]))], (1343 ^ _202157) ^ [] : [-(in(1341 ^ [_248969, _248971], 1324 ^ [_248971]))]]], (531 ^ _202157) ^ [_220908, _220910, _220912] : [-(_220908 = set_intersection2(_220912, _220910)), 543 ^ _202157 : [(548 ^ _202157) ^ [] : [in(532 ^ [_220908, _220910, _220912], _220908)], (546 ^ _202157) ^ [] : [-(in(532 ^ [_220908, _220910, _220912], _220910))], (544 ^ _202157) ^ [] : [-(in(532 ^ [_220908, _220910, _220912], _220912))]], 535 ^ _202157 : [(538 ^ _202157) ^ [] : [in(532 ^ [_220908, _220910, _220912], _220912), in(532 ^ [_220908, _220910, _220912], _220910)], (536 ^ _202157) ^ [] : [-(in(532 ^ [_220908, _220910, _220912], _220908))]]], (500 ^ _202157) ^ [_219783, _219785] : [502 ^ _202157 : [(505 ^ _202157) ^ [] : [in(501 ^ [_219783, _219785], _219783)], (503 ^ _202157) ^ [] : [-(in(501 ^ [_219783, _219785], _219785))]], -(subset(_219785, _219783))], (684 ^ _202157) ^ [] : [true___, -(true___)], (988 ^ _202157) ^ [_236437, _236439] : [subset(_236437, 968 ^ [_236439]), -(are_equipotent(_236437, 968 ^ [_236439])), -(in(_236437, 968 ^ [_236439]))], (708 ^ _202157) ^ [] : [true___, -(true___)], (847 ^ _202157) ^ [_231340, _231342] : [subset(_231342, singleton(_231340)), -(_231342 = empty_set), -(_231342 = singleton(_231340))], (86 ^ _202157) ^ [_205004, _205006, _205008, _205010] : [-(element(_205008, _205004)), element(_205010, _205006), _205010 = _205008, _205006 = _205004], (909 ^ _202157) ^ [_233460, _233462] : [-(subset(_233462, _233462))], (1012 ^ _202157) ^ [_237298, _237300, _237302] : [-(subset(_237302, _237298)), subset(_237302, _237300), subset(_237300, _237298)], (803 ^ _202157) ^ [_229814, _229816] : [subset(singleton(_229816), _229814), -(in(_229816, _229814))], (970 ^ _202157) ^ [_235810] : [-(in(_235810, 968 ^ [_235810]))], (837 ^ _202157) ^ [_230991, _230993, _230995] : [subset(_230995, _230993), -(in(_230991, _230995)), -(subset(_230995, set_difference(_230993, singleton(_230991))))], (1205 ^ _202157) ^ [_244212, _244214] : [1206 ^ _202157 : [(1207 ^ _202157) ^ [_244285] : [in(_244285, set_intersection2(_244214, _244212))]], disjoint(_244214, _244212)], (753 ^ _202157) ^ [_227855] : [empty(powerset(_227855))], (1194 ^ _202157) ^ [_243758, _243760] : [-(set_difference(_243760, set_difference(_243760, _243758)) = set_intersection2(_243760, _243758))], (696 ^ _202157) ^ [] : [true___, -(true___)], (1301 ^ _202157) ^ [_247561, _247563, _247565] : [-(subset(set_union2(_247565, _247561), _247563)), subset(_247565, _247563), subset(_247561, _247563)], (1198 ^ _202157) ^ [_243977, _243979] : [-(disjoint(_243979, _243977)), -(in(1201 ^ [_243977, _243979], set_intersection2(_243979, _243977)))], (124 ^ _202157) ^ [_206249, _206251, _206253, _206255] : [-(ordered_pair(_206255, _206251) = ordered_pair(_206253, _206249)), _206255 = _206253, _206251 = _206249], (1089 ^ _202157) ^ [_240097, _240099] : [in(_240099, _240097), -(subset(singleton(_240099), _240097))], (388 ^ _202157) ^ [_215416, _215418, _215420] : [_215416 = set_union2(_215420, _215418), 391 ^ _202157 : [(392 ^ _202157) ^ [_215598] : [in(_215598, _215416), -(in(_215598, _215420)), -(in(_215598, _215418))], (402 ^ _202157) ^ [_215876] : [403 ^ _202157 : [(406 ^ _202157) ^ [] : [in(_215876, _215418)], (404 ^ _202157) ^ [] : [in(_215876, _215420)]], -(in(_215876, _215416))]]], (1351 ^ _202157) ^ [_249488, _249490] : [subset(_249488, 1324 ^ [_249490]), -(are_equipotent(_249488, 1324 ^ [_249490])), -(in(_249488, 1324 ^ [_249490]))], (1229 ^ _202157) ^ [_245083, _245085] : [subset(_245085, _245083), proper_subset(_245083, _245085)], (4 ^ _202157) ^ [_202388, _202390] : [_202390 = _202388, -(_202388 = _202390)], (982 ^ _202157) ^ [_236237, _236239] : [in(_236237, 968 ^ [_236239]), -(in(powerset(_236237), 968 ^ [_236239]))], (757 ^ _202157) ^ [_228000, _228002] : [empty(ordered_pair(_228002, _228000))], (186 ^ _202157) ^ [_208452, _208454] : [_208454 = _208452, -(powerset(_208454) = powerset(_208452))], (228 ^ _202157) ^ [_210035, _210037] : [-(_210037 = _210035), subset(_210037, _210035), subset(_210035, _210037)], (1361 ^ _202157) ^ [_249822, _249824, _249826] : [singleton(_249826) = unordered_pair(_249824, _249822), -(_249824 = _249822)], (282 ^ _202157) ^ [_211907, _211909] : [_211907 = powerset(_211909), 285 ^ _202157 : [(292 ^ _202157) ^ [_212249] : [subset(_212249, _211909), -(in(_212249, _211907))], (286 ^ _202157) ^ [_212077] : [in(_212077, _211907), -(subset(_212077, _211909))]]], (1291 ^ _202157) ^ [_247250, _247252] : [empty(_247252), -(_247252 = _247250), empty(_247250)], (100 ^ _202157) ^ [_205428, _205430, _205432, _205434] : [-(in(_205432, _205428)), in(_205434, _205430), _205434 = _205432, _205430 = _205428], (170 ^ _202157) ^ [_207875, _207877] : [_207877 = _207875, -(singleton(_207877) = singleton(_207875))], (275 ^ _202157) ^ [_211616] : [-(in(276 ^ [_211616], _211616)), -(_211616 = empty_set)], (1160 ^ _202157) ^ [_242563, _242565] : [-(set_difference(set_union2(_242565, _242563), _242563) = set_difference(_242565, _242563))], (765 ^ _202157) ^ [_228327, _228329] : [-(empty(_228329)), empty(set_union2(_228327, _228329))], (668 ^ _202157) ^ [_225926, _225928] : [-(proper_subset(_225928, _225926)), subset(_225928, _225926), -(_225928 = _225926)], (1311 ^ _202157) ^ [_247890, _247892, _247894] : [singleton(_247894) = unordered_pair(_247892, _247890), -(_247894 = _247892)], (809 ^ _202157) ^ [_229980, _229982] : [in(_229982, _229980), -(subset(singleton(_229982), _229980))], (220 ^ _202157) ^ [_209798, _209800] : [_209800 = _209798, 223 ^ _202157 : [(226 ^ _202157) ^ [] : [-(subset(_209798, _209800))], (224 ^ _202157) ^ [] : [-(subset(_209800, _209798))]]], (134 ^ _202157) ^ [_206608, _206610, _206612, _206614] : [-(set_intersection2(_206614, _206610) = set_intersection2(_206612, _206608)), _206614 = _206612, _206610 = _206608], (678 ^ _202157) ^ [] : [true___, -(true___)], (726 ^ _202157) ^ [] : [true___, -(true___)], (1036 ^ _202157) ^ [_238089] : [-(set_intersection2(_238089, empty_set) = empty_set)], (1271 ^ _202157) ^ [_246531, _246533] : [in(_246533, _246531), empty(_246531)], (552 ^ _202157) ^ [_221690, _221692] : [_221690 = union(_221692), 555 ^ _202157 : [(565 ^ _202157) ^ [_222198] : [-(in(_222198, _221690)), 566 ^ _202157 : [(567 ^ _202157) ^ [_222296] : [in(_222198, _222296), in(_222296, _221692)]]], (556 ^ _202157) ^ [_221871] : [in(_221871, _221690), 560 ^ _202157 : [(563 ^ _202157) ^ [] : [-(in(559 ^ [_221690, _221692, _221871], _221692))], (561 ^ _202157) ^ [] : [-(in(_221871, 559 ^ [_221690, _221692, _221871]))]]]]], (1038 ^ _202157) ^ [_238199, _238201] : [-(_238201 = _238199), 1042 ^ _202157 : [(1045 ^ _202157) ^ [] : [in(1039 ^ [_238199, _238201], _238199)], (1043 ^ _202157) ^ [] : [-(in(1039 ^ [_238199, _238201], _238201))]], 1046 ^ _202157 : [(1049 ^ _202157) ^ [] : [in(1039 ^ [_238199, _238201], _238201)], (1047 ^ _202157) ^ [] : [-(in(1039 ^ [_238199, _238201], _238199))]]], (1277 ^ _202157) ^ [_246723, _246725] : [-(subset(_246725, set_union2(_246725, _246723)))], (773 ^ _202157) ^ [_228625, _228627] : [-(set_intersection2(_228627, _228627) = _228627)], (963 ^ _202157) ^ [_235488, _235490] : [subset(_235490, _235488), -(set_union2(_235490, _235488) = _235488)], (1235 ^ _202157) ^ [_245306, _245308, _245310] : [-(disjoint(_245310, _245306)), subset(_245310, _245308), disjoint(_245308, _245306)], (815 ^ _202157) ^ [_230225, _230227] : [set_difference(_230227, _230225) = empty_set, -(subset(_230227, _230225))], (781 ^ _202157) ^ [_228947, _228949] : [proper_subset(_228949, _228949)], (10 ^ _202157) ^ [_202592, _202594, _202596] : [-(_202596 = _202592), _202596 = _202594, _202594 = _202592], (690 ^ _202157) ^ [] : [true___, -(true___)], (889 ^ _202157) ^ [_232749] : [-(empty(_232749)), 893 ^ _202157 : [(896 ^ _202157) ^ [] : [empty(892 ^ [_232749])], (894 ^ _202157) ^ [] : [-(element(892 ^ [_232749], powerset(_232749)))]]], (827 ^ _202157) ^ [_230611, _230613] : [element(_230611, powerset(_230613)), 830 ^ _202157 : [(831 ^ _202157) ^ [_230752] : [in(_230752, _230611), -(in(_230752, _230613))]]], (298 ^ _202157) ^ [_212428, _212430] : [-(_212428 = powerset(_212430)), 302 ^ _202157 : [(305 ^ _202157) ^ [] : [subset(299 ^ [_212428, _212430], _212430)], (303 ^ _202157) ^ [] : [-(in(299 ^ [_212428, _212430], _212428))]], 306 ^ _202157 : [(309 ^ _202157) ^ [] : [in(299 ^ [_212428, _212430], _212428)], (307 ^ _202157) ^ [] : [-(subset(299 ^ [_212428, _212430], _212430))]]], (1279 ^ _202157) ^ [_246864, _246866] : [disjoint(_246866, _246864), -(set_difference(_246866, _246864) = _246866)], (935 ^ _202157) ^ [_234462, _234464, _234466, _234468] : [unordered_pair(_234468, _234466) = unordered_pair(_234464, _234462), -(_234468 = _234464), -(_234468 = _234462)], (791 ^ _202157) ^ [_229355, _229357] : [disjoint(singleton(_229357), _229355), in(_229357, _229355)], (490 ^ _202157) ^ [_219469, _219471] : [subset(_219471, _219469), 493 ^ _202157 : [(494 ^ _202157) ^ [_219606] : [in(_219606, _219471), -(in(_219606, _219469))]]], (329 ^ _202157) ^ [_213397, _213399] : [empty(_213399), 332 ^ _202157 : [(339 ^ _202157) ^ [] : [empty(_213397), -(element(_213397, _213399))], (333 ^ _202157) ^ [] : [element(_213397, _213399), -(empty(_213397))]]], (797 ^ _202157) ^ [_229568, _229570] : [-(in(_229570, _229568)), -(disjoint(singleton(_229570), _229568))], (154 ^ _202157) ^ [_207326, _207328, _207330, _207332] : [-(set_union2(_207332, _207328) = set_union2(_207330, _207326)), _207332 = _207330, _207328 = _207326], (646 ^ _202157) ^ [_225124, _225126] : [-(ordered_pair(_225126, _225124) = unordered_pair(unordered_pair(_225126, _225124), singleton(_225126)))], (1133 ^ _202157) ^ [_241581] : [-(set_difference(_241581, empty_set) = _241581)], (269 ^ _202157) ^ [_211437] : [_211437 = empty_set, 272 ^ _202157 : [(273 ^ _202157) ^ [_211550] : [in(_211550, _211437)]]], (202 ^ _202157) ^ [_209047, _209049] : [in(_209049, _209047), in(_209047, _209049)], (1095 ^ _202157) ^ [_240356, _240358, _240360] : [subset(unordered_pair(_240360, _240358), _240356), 1098 ^ _202157 : [(1101 ^ _202157) ^ [] : [-(in(_240358, _240356))], (1099 ^ _202157) ^ [] : [-(in(_240360, _240356))]]], (1162 ^ _202157) ^ [_242681, _242683] : [element(_242681, powerset(_242683)), 1165 ^ _202157 : [(1166 ^ _202157) ^ [_242833] : [element(_242833, powerset(_242683)), 1169 ^ _202157 : [(1176 ^ _202157) ^ [] : [subset(_242681, subset_complement(_242683, _242833)), -(disjoint(_242681, _242833))], (1170 ^ _202157) ^ [] : [disjoint(_242681, _242833), -(subset(_242681, subset_complement(_242683, _242833)))]]]]], (1000 ^ _202157) ^ [_236888, _236890, _236892] : [-(subset(_236892, set_intersection2(_236890, _236888))), subset(_236892, _236890), subset(_236892, _236888)], (925 ^ _202157) ^ [_234101, _234103, _234105, _234107] : [-(in(ordered_pair(_234107, _234105), cartesian_product2(_234103, _234101))), in(_234107, _234103), in(_234105, _234101)], (857 ^ _202157) ^ [_231600, _231602] : [858 ^ _202157 : [(861 ^ _202157) ^ [] : [_231602 = singleton(_231600)], (859 ^ _202157) ^ [] : [_231602 = empty_set]], -(subset(_231602, singleton(_231600)))], (660 ^ _202157) ^ [_225688, _225690] : [proper_subset(_225690, _225688), 663 ^ _202157 : [(666 ^ _202157) ^ [] : [_225690 = _225688], (664 ^ _202157) ^ [] : [-(subset(_225690, _225688))]]], (254 ^ _202157) ^ [_210886, _210888] : [-(_210886 = singleton(_210888)), 258 ^ _202157 : [(261 ^ _202157) ^ [] : [255 ^ [_210886, _210888] = _210888], (259 ^ _202157) ^ [] : [-(in(255 ^ [_210886, _210888], _210886))]], 262 ^ _202157 : [(265 ^ _202157) ^ [] : [in(255 ^ [_210886, _210888], _210886)], (263 ^ _202157) ^ [] : [-(255 ^ [_210886, _210888] = _210888)]]], (1259 ^ _202157) ^ [_246111] : [empty(_246111), -(_246111 = empty_set)], (1265 ^ _202157) ^ [_246313, _246315] : [subset(singleton(_246315), singleton(_246313)), -(_246315 = _246313)], (144 ^ _202157) ^ [_206967, _206969, _206971, _206973] : [-(set_difference(_206973, _206969) = set_difference(_206971, _206967)), _206973 = _206971, _206969 = _206967], (34 ^ _202157) ^ [_203377, _203379, _203381, _203383] : [-(disjoint(_203381, _203377)), disjoint(_203383, _203379), _203383 = _203381, _203379 = _203377], (720 ^ _202157) ^ [] : [true___, -(true___)], (509 ^ _202157) ^ [_220183, _220185, _220187] : [_220183 = set_intersection2(_220187, _220185), 512 ^ _202157 : [(521 ^ _202157) ^ [_220624] : [-(in(_220624, _220183)), in(_220624, _220187), in(_220624, _220185)], (513 ^ _202157) ^ [_220365] : [in(_220365, _220183), 516 ^ _202157 : [(519 ^ _202157) ^ [] : [-(in(_220365, _220185))], (517 ^ _202157) ^ [] : [-(in(_220365, _220187))]]]]], (1069 ^ _202157) ^ [_239375, _239377] : [-(subset(set_difference(_239377, _239375), _239377))], (461 ^ _202157) ^ [_218192, _218194, _218196] : [-(_218192 = cartesian_product2(_218196, _218194)), 479 ^ _202157 : [(482 ^ _202157) ^ [] : [-(in(478 ^ [_218192, _218194, _218196], _218194))], (484 ^ _202157) ^ [] : [-(462 ^ [_218192, _218194, _218196] = ordered_pair(477 ^ [_218192, _218194, _218196], 478 ^ [_218192, _218194, _218196]))], (486 ^ _202157) ^ [] : [in(462 ^ [_218192, _218194, _218196], _218192)], (480 ^ _202157) ^ [] : [-(in(477 ^ [_218192, _218194, _218196], _218196))]], 465 ^ _202157 : [(468 ^ _202157) ^ [_218530, _218532] : [in(_218532, _218196), in(_218530, _218194), 462 ^ [_218192, _218194, _218196] = ordered_pair(_218532, _218530)], (466 ^ _202157) ^ [] : [-(in(462 ^ [_218192, _218194, _218196], _218192))]]], (917 ^ _202157) ^ [_233836, _233838, _233840, _233842] : [in(ordered_pair(_233842, _233840), cartesian_product2(_233838, _233836)), 920 ^ _202157 : [(923 ^ _202157) ^ [] : [-(in(_233840, _233836))], (921 ^ _202157) ^ [] : [-(in(_233842, _233838))]]], (1113 ^ _202157) ^ [_240909, _240911] : [-(set_union2(_240911, set_difference(_240909, _240911)) = set_union2(_240911, _240909))], (1188 ^ _202157) ^ [_243553, _243555] : [in(_243555, _243553), -(set_union2(singleton(_243555), _243553) = _243553)], (732 ^ _202157) ^ [] : [true___, -(true___)], (2 ^ _202157) ^ [_202281] : [-(_202281 = _202281)], (1053 ^ _202157) ^ [_238700] : [-(subset(empty_set, _238700))], (575 ^ _202157) ^ [_222535, _222537] : [-(_222535 = union(_222537)), 588 ^ _202157 : [(593 ^ _202157) ^ [] : [in(576 ^ [_222535, _222537], _222535)], (591 ^ _202157) ^ [] : [-(in(587 ^ [_222535, _222537], _222537))], (589 ^ _202157) ^ [] : [-(in(576 ^ [_222535, _222537], 587 ^ [_222535, _222537]))]], 579 ^ _202157 : [(582 ^ _202157) ^ [_222818] : [in(576 ^ [_222535, _222537], _222818), in(_222818, _222537)], (580 ^ _202157) ^ [] : [-(in(576 ^ [_222535, _222537], _222535))]]], (640 ^ _202157) ^ [_224913, _224915] : [element(_224913, powerset(_224915)), -(subset_complement(_224915, _224913) = set_difference(_224915, _224913))], (20 ^ _202157) ^ [_202933, _202935, _202937, _202939] : [-(proper_subset(_202937, _202933)), proper_subset(_202939, _202935), _202939 = _202937, _202935 = _202933], (410 ^ _202157) ^ [_216141, _216143, _216145] : [-(_216141 = set_union2(_216145, _216143)), 414 ^ _202157 : [(419 ^ _202157) ^ [] : [in(411 ^ [_216141, _216143, _216145], _216143)], (417 ^ _202157) ^ [] : [in(411 ^ [_216141, _216143, _216145], _216145)], (415 ^ _202157) ^ [] : [-(in(411 ^ [_216141, _216143, _216145], _216141))]], 420 ^ _202157 : [(421 ^ _202157) ^ [] : [-(in(411 ^ [_216141, _216143, _216145], _216145)), -(in(411 ^ [_216141, _216143, _216145], _216143))], (427 ^ _202157) ^ [] : [in(411 ^ [_216141, _216143, _216145], _216141)]]], (911 ^ _202157) ^ [_233569, _233571] : [disjoint(_233571, _233569), -(disjoint(_233569, _233571))], (345 ^ _202157) ^ [_213897, _213899, _213901] : [_213897 = unordered_pair(_213901, _213899), 348 ^ _202157 : [(349 ^ _202157) ^ [_214079] : [in(_214079, _213897), -(_214079 = _213901), -(_214079 = _213899)], (359 ^ _202157) ^ [_214357] : [360 ^ _202157 : [(363 ^ _202157) ^ [] : [_214357 = _213899], (361 ^ _202157) ^ [] : [_214357 = _213901]], -(in(_214357, _213897))]]], (1061 ^ _202157) ^ [_239077, _239079, _239081, _239083] : [ordered_pair(_239083, _239081) = ordered_pair(_239079, _239077), 1064 ^ _202157 : [(1067 ^ _202157) ^ [] : [-(_239081 = _239077)], (1065 ^ _202157) ^ [] : [-(_239083 = _239079)]]], (821 ^ _202157) ^ [_230393, _230395] : [subset(_230395, _230393), -(set_difference(_230395, _230393) = empty_set)], (164 ^ _202157) ^ [_207657, _207659] : [_207659 = _207657, -(union(_207659) = union(_207657))], (313 ^ _202157) ^ [_212984, _212986] : [-(empty(_212986)), 316 ^ _202157 : [(323 ^ _202157) ^ [] : [in(_212984, _212986), -(element(_212984, _212986))], (317 ^ _202157) ^ [] : [element(_212984, _212986), -(in(_212984, _212986))]]], (775 ^ _202157) ^ [_228737, _228739] : [element(_228737, powerset(_228739)), -(subset_complement(_228739, subset_complement(_228739, _228737)) = _228737)], (176 ^ _202157) ^ [_208121, _208123, _208125, _208127] : [-(unordered_pair(_208127, _208123) = unordered_pair(_208125, _208121)), _208127 = _208125, _208123 = _208121], (1211 ^ _202157) ^ [_244437] : [-(_244437 = empty_set), 1214 ^ _202157 : [(1215 ^ _202157) ^ [_244597] : [element(_244597, powerset(_244437)), 1218 ^ _202157 : [(1219 ^ _202157) ^ [_244751] : [element(_244751, _244437), -(in(_244751, _244597)), -(in(_244751, subset_complement(_244437, _244597)))]]]]], (998 ^ _202157) ^ [_236762, _236764] : [-(subset(set_intersection2(_236764, _236762), _236764))], (1083 ^ _202157) ^ [_239931, _239933] : [subset(singleton(_239933), _239931), -(in(_239933, _239931))], (1024 ^ _202157) ^ [_237674, _237676, _237678] : [subset(_237678, _237676), -(subset(set_intersection2(_237678, _237674), set_intersection2(_237676, _237674)))], (1077 ^ _202157) ^ [_239684, _239686] : [subset(_239686, _239684), -(set_difference(_239686, _239684) = empty_set)], (367 ^ _202157) ^ [_214622, _214624, _214626] : [-(_214622 = unordered_pair(_214626, _214624)), 371 ^ _202157 : [(376 ^ _202157) ^ [] : [368 ^ [_214622, _214624, _214626] = _214624], (374 ^ _202157) ^ [] : [368 ^ [_214622, _214624, _214626] = _214626], (372 ^ _202157) ^ [] : [-(in(368 ^ [_214622, _214624, _214626], _214622))]], 377 ^ _202157 : [(378 ^ _202157) ^ [] : [-(368 ^ [_214622, _214624, _214626] = _214626), -(368 ^ [_214622, _214624, _214626] = _214624)], (384 ^ _202157) ^ [] : [in(368 ^ [_214622, _214624, _214626], _214622)]]], (1030 ^ _202157) ^ [_237902, _237904] : [subset(_237904, _237902), -(set_intersection2(_237904, _237902) = _237904)], (1326 ^ _202157) ^ [_248542] : [-(in(_248542, 1324 ^ [_248542]))], (1285 ^ _202157) ^ [_247032, _247034] : [set_difference(_247034, _247032) = _247034, -(disjoint(_247034, _247032))], (738 ^ _202157) ^ [] : [true___, -(true___)], (1182 ^ _202157) ^ [_243331, _243333] : [subset(_243333, _243331), -(_243331 = set_union2(_243333, set_difference(_243331, _243333)))], (1317 ^ _202157) ^ [_248116, _248118] : [in(_248118, _248116), -(subset(_248118, union(_248116)))], (907 ^ _202157) ^ [] : [empty(905 ^ [])], (879 ^ _202157) ^ [_232430, _232432, _232434, _232436] : [-(in(ordered_pair(_232436, _232434), cartesian_product2(_232432, _232430))), in(_232436, _232432), in(_232434, _232430)], (1245 ^ _202157) ^ [_245644, _245646] : [set_difference(_245646, singleton(_245644)) = _245646, in(_245644, _245646)], (1115 ^ _202157) ^ [_241056, _241058] : [subset(_241058, singleton(_241056)), -(_241058 = empty_set), -(_241058 = singleton(_241056))], (214 ^ _202157) ^ [_209454, _209456] : [-(unordered_pair(_209456, _209454) = unordered_pair(_209454, _209456))], (1328 ^ _202157) ^ [_248654, _248656, _248658] : [-(in(_248654, 1324 ^ [_248658])), in(_248656, 1324 ^ [_248658]), subset(_248654, _248656)], (431 ^ _202157) ^ [_216935, _216937, _216939] : [_216935 = cartesian_product2(_216939, _216937), 434 ^ _202157 : [(447 ^ _202157) ^ [_217696] : [-(in(_217696, _216935)), 448 ^ _202157 : [(449 ^ _202157) ^ [_217826, _217828] : [in(_217828, _216939), in(_217826, _216937), _217696 = ordered_pair(_217828, _217826)]]], (435 ^ _202157) ^ [_217136] : [in(_217136, _216935), 440 ^ _202157 : [(445 ^ _202157) ^ [] : [-(_217136 = ordered_pair(438 ^ [_216935, _216937, _216939, _217136], 439 ^ [_216935, _216937, _216939, _217136]))], (443 ^ _202157) ^ [] : [-(in(439 ^ [_216935, _216937, _216939, _217136], _216937))], (441 ^ _202157) ^ [] : [-(in(438 ^ [_216935, _216937, _216939, _217136], _216939))]]]]], (597 ^ _202157) ^ [_223425, _223427, _223429] : [_223425 = set_difference(_223429, _223427), 600 ^ _202157 : [(609 ^ _202157) ^ [_223869] : [-(in(_223869, _223425)), in(_223869, _223429), -(in(_223869, _223427))], (601 ^ _202157) ^ [_223609] : [in(_223609, _223425), 604 ^ _202157 : [(607 ^ _202157) ^ [] : [in(_223609, _223427)], (605 ^ _202157) ^ [] : [-(in(_223609, _223429))]]]]], (114 ^ _202157) ^ [_205890, _205892, _205894, _205896] : [-(cartesian_product2(_205896, _205892) = cartesian_product2(_205894, _205890)), _205896 = _205894, _205892 = _205890], (755 ^ _202157) ^ [] : [-(empty(empty_set))], (58 ^ _202157) ^ [_204116, _204118, _204120, _204122] : [-(subset(_204120, _204116)), subset(_204122, _204118), _204122 = _204120, _204118 = _204116], (972 ^ _202157) ^ [_235922, _235924, _235926] : [-(in(_235922, 968 ^ [_235926])), in(_235924, 968 ^ [_235926]), subset(_235922, _235924)], (218 ^ _202157) ^ [_209654, _209656] : [-(set_intersection2(_209656, _209654) = set_intersection2(_209654, _209656))], (1125 ^ _202157) ^ [_241316, _241318] : [1126 ^ _202157 : [(1129 ^ _202157) ^ [] : [_241318 = singleton(_241316)], (1127 ^ _202157) ^ [] : [_241318 = empty_set]], -(subset(_241318, singleton(_241316)))], (1196 ^ _202157) ^ [_243847] : [-(set_difference(empty_set, _243847) = empty_set)], (702 ^ _202157) ^ [] : [true___, -(true___)], (871 ^ _202157) ^ [_232165, _232167, _232169, _232171] : [in(ordered_pair(_232171, _232169), cartesian_product2(_232167, _232165)), 874 ^ _202157 : [(877 ^ _202157) ^ [] : [-(in(_232169, _232165))], (875 ^ _202157) ^ [] : [-(in(_232171, _232167))]]], (1055 ^ _202157) ^ [_238821, _238823, _238825] : [subset(_238825, _238823), -(subset(set_difference(_238825, _238821), set_difference(_238823, _238821)))], (1022 ^ _202157) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (238 ^ _202157) ^ [_210365, _210367] : [_210365 = singleton(_210367), 241 ^ _202157 : [(248 ^ _202157) ^ [_210707] : [_210707 = _210367, -(in(_210707, _210365))], (242 ^ _202157) ^ [_210535] : [in(_210535, _210365), -(_210535 = _210367)]]], (783 ^ _202157) ^ [_229026] : [singleton(_229026) = empty_set], (751 ^ _202157) ^ [_227773] : [-(element(749 ^ [_227773], _227773))], (216 ^ _202157) ^ [_209554, _209556] : [-(set_union2(_209556, _209554) = set_union2(_209554, _209556))], (619 ^ _202157) ^ [_224156, _224158, _224160] : [-(_224156 = set_difference(_224160, _224158)), 631 ^ _202157 : [(636 ^ _202157) ^ [] : [in(620 ^ [_224156, _224158, _224160], _224156)], (634 ^ _202157) ^ [] : [in(620 ^ [_224156, _224158, _224160], _224158)], (632 ^ _202157) ^ [] : [-(in(620 ^ [_224156, _224158, _224160], _224160))]], 623 ^ _202157 : [(626 ^ _202157) ^ [] : [in(620 ^ [_224156, _224158, _224160], _224160), -(in(620 ^ [_224156, _224158, _224160], _224158))], (624 ^ _202157) ^ [] : [-(in(620 ^ [_224156, _224158, _224160], _224156))]]], (1251 ^ _202157) ^ [_245817, _245819] : [-(in(_245817, _245819)), -(set_difference(_245819, singleton(_245817)) = _245819)], (654 ^ _202157) ^ [_225441, _225443] : [set_intersection2(_225443, _225441) = empty_set, -(disjoint(_225443, _225441))], (648 ^ _202157) ^ [_225273, _225275] : [disjoint(_225275, _225273), -(set_intersection2(_225275, _225273) = empty_set)], (1323 ^ _202157) ^ [_248301] : [-(union(powerset(_248301)) = _248301)], (1154 ^ _202157) ^ [_242374] : [subset(_242374, empty_set), -(_242374 = empty_set)], (48 ^ _202157) ^ [_203793, _203795] : [-(empty(_203793)), _203795 = _203793, empty(_203795)], (714 ^ _202157) ^ [_226944, _226946] : [element(_226944, powerset(_226946)), -(element(subset_complement(_226946, _226944), powerset(_226946)))], (744 ^ _202157) ^ [] : [true___, -(true___)], (1135 ^ _202157) ^ [_241711, _241713] : [-(disjoint(_241713, _241711)), 1139 ^ _202157 : [(1142 ^ _202157) ^ [] : [-(in(1138 ^ [_241711, _241713], _241711))], (1140 ^ _202157) ^ [] : [-(in(1138 ^ [_241711, _241713], _241713))]]], (1103 ^ _202157) ^ [_240607, _240609, _240611] : [-(subset(unordered_pair(_240611, _240609), _240607)), in(_240611, _240607), in(_240609, _240607)], (1010 ^ _202157) ^ [_237174] : [-(set_union2(_237174, empty_set) = _237174)], (785 ^ _202157) ^ [_229135, _229137] : [in(_229137, _229135), -(set_union2(singleton(_229137), _229135) = _229135)], (1071 ^ _202157) ^ [_239516, _239518] : [set_difference(_239518, _239516) = empty_set, -(subset(_239518, _239516))], (72 ^ _202157) ^ [_204560, _204562, _204564, _204566] : [-(are_equipotent(_204564, _204560)), are_equipotent(_204566, _204562), _204566 = _204564, _204562 = _204560], (208 ^ _202157) ^ [_209258, _209260] : [proper_subset(_209260, _209258), proper_subset(_209258, _209260)]], input).
% 43.46/42.72  ncf('1',plain,[-(element(1368 ^ [], powerset(1366 ^ [])))],start(1370 ^ 0)).
% 43.46/42.72  ncf('1.1',plain,[element(1368 ^ [], powerset(1366 ^ [])), 1176 : subset(subset_complement(1366 ^ [], 1368 ^ []), subset_complement(1366 ^ [], 1368 ^ [])), 1176 : -(disjoint(subset_complement(1366 ^ [], 1368 ^ []), 1368 ^ [])), 1166 : element(subset_complement(1366 ^ [], 1368 ^ []), powerset(1366 ^ []))],extension(1162 ^ 1,bind([[_242681, _242683, _242833], [subset_complement(1366 ^ [], 1368 ^ []), 1366 ^ [], 1368 ^ []]]))).
% 43.46/42.72  ncf('1.1.1',plain,[-(subset(subset_complement(1366 ^ [], 1368 ^ []), subset_complement(1366 ^ [], 1368 ^ [])))],extension(909 ^ 6,bind([[_233460, _233462], [_153466, subset_complement(1366 ^ [], 1368 ^ [])]]))).
% 43.46/42.72  ncf('1.1.2',plain,[disjoint(subset_complement(1366 ^ [], 1368 ^ []), 1368 ^ []), 1146 : in(1367 ^ [], subset_complement(1366 ^ [], 1368 ^ [])), 1146 : in(1367 ^ [], 1368 ^ [])],extension(1144 ^ 6,bind([[_242025, _242027, _242117], [1368 ^ [], subset_complement(1366 ^ [], 1368 ^ []), 1367 ^ []]]))).
% 43.46/42.72  ncf('1.1.2.1',plain,[-(in(1367 ^ [], subset_complement(1366 ^ [], 1368 ^ [])))],extension(1372 ^ 9)).
% 43.46/42.72  ncf('1.1.2.2',plain,[-(in(1367 ^ [], 1368 ^ []))],extension(1374 ^ 9)).
% 43.46/42.72  ncf('1.1.3',plain,[-(element(subset_complement(1366 ^ [], 1368 ^ []), powerset(1366 ^ []))), element(1368 ^ [], powerset(1366 ^ []))],extension(714 ^ 2,bind([[_226944, _226946], [1368 ^ [], 1366 ^ []]]))).
% 43.46/42.72  ncf('1.1.3.1',plain,[-(element(1368 ^ [], powerset(1366 ^ [])))],reduction('1')).
% 43.46/42.72  %-----------------------------------------------------
% 43.46/42.72  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------