%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU171+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 194.51s 188.85s
% Output   : Proof 194.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.24  % Problem  : SEU171+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.25  % Command  : nanocop.sh %s %d
% 0.12/0.48  % Computer : n012.cluster.edu
% 0.12/0.48  % Model    : x86_64 x86_64
% 0.12/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.48  % Memory   : 8042.1875MB
% 0.12/0.48  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.48  % CPULimit : 300
% 0.12/0.48  % WCLimit  : 300
% 0.12/0.48  % DateTime : Thu May 18 12:36:02 EDT 2023
% 0.12/0.48  % CPUTime  : 
% 194.51/188.85  
% 194.51/188.85  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 194.51/188.85  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 194.51/188.85  %-----------------------------------------------------
% 194.51/188.85  ncf(matrix, plain, [(1353 ^ _252177) ^ [] : [-(element(1351 ^ [], powerset(1348 ^ [])))], (1356 ^ _252177) ^ [] : [-(element(1354 ^ [], 1348 ^ []))], (1358 ^ _252177) ^ [] : [in(1354 ^ [], 1351 ^ [])], (1360 ^ _252177) ^ [] : [in(1354 ^ [], subset_complement(1348 ^ [], 1351 ^ []))], (1350 ^ _252177) ^ [] : [1348 ^ [] = empty_set], !, (1095 ^ _204176) ^ [_242375, _242377, _242379] : [subset(unordered_pair(_242379, _242377), _242375), 1098 ^ _204176 : [(1101 ^ _204176) ^ [] : [-(in(_242377, _242375))], (1099 ^ _204176) ^ [] : [-(in(_242379, _242375))]]], (889 ^ _204176) ^ [_234768] : [-(empty(_234768)), 893 ^ _204176 : [(896 ^ _204176) ^ [] : [empty(892 ^ [_234768])], (894 ^ _204176) ^ [] : [-(element(892 ^ [_234768], powerset(_234768)))]]], (684 ^ _204176) ^ [] : [true___, -(true___)], (654 ^ _204176) ^ [_227460, _227462] : [set_intersection2(_227462, _227460) = empty_set, -(disjoint(_227462, _227460))], (2 ^ _204176) ^ [_204300] : [-(_204300 = _204300)], (1071 ^ _204176) ^ [_241535, _241537] : [set_difference(_241537, _241535) = empty_set, -(subset(_241537, _241535))], (388 ^ _204176) ^ [_217435, _217437, _217439] : [_217435 = set_union2(_217439, _217437), 391 ^ _204176 : [(392 ^ _204176) ^ [_217617] : [in(_217617, _217435), -(in(_217617, _217439)), -(in(_217617, _217437))], (402 ^ _204176) ^ [_217895] : [403 ^ _204176 : [(406 ^ _204176) ^ [] : [in(_217895, _217437)], (404 ^ _204176) ^ [] : [in(_217895, _217439)]], -(in(_217895, _217435))]]], (1083 ^ _204176) ^ [_241950, _241952] : [subset(singleton(_241952), _241950), -(in(_241952, _241950))], (597 ^ _204176) ^ [_225444, _225446, _225448] : [_225444 = set_difference(_225448, _225446), 600 ^ _204176 : [(609 ^ _204176) ^ [_225888] : [-(in(_225888, _225444)), in(_225888, _225448), -(in(_225888, _225446))], (601 ^ _204176) ^ [_225628] : [in(_225628, _225444), 604 ^ _204176 : [(607 ^ _204176) ^ [] : [in(_225628, _225446)], (605 ^ _204176) ^ [] : [-(in(_225628, _225448))]]]]], (791 ^ _204176) ^ [_231374, _231376] : [disjoint(singleton(_231376), _231374), in(_231376, _231374)], (815 ^ _204176) ^ [_232244, _232246] : [set_difference(_232246, _232244) = empty_set, -(subset(_232246, _232244))], (1320 ^ _204176) ^ [_250356, _250358] : [in(_250356, 1306 ^ [_250358]), 1324 ^ _204176 : [(1327 ^ _204176) ^ [_250668] : [subset(_250668, _250356), -(in(_250668, 1323 ^ [_250356, _250358]))], (1325 ^ _204176) ^ [] : [-(in(1323 ^ [_250356, _250358], 1306 ^ [_250358]))]]], (282 ^ _204176) ^ [_213926, _213928] : [_213926 = powerset(_213928), 285 ^ _204176 : [(292 ^ _204176) ^ [_214268] : [subset(_214268, _213928), -(in(_214268, _213926))], (286 ^ _204176) ^ [_214096] : [in(_214096, _213926), -(subset(_214096, _213928))]]], (1160 ^ _204176) ^ [_244582, _244584] : [-(set_difference(set_union2(_244584, _244582), _244582) = set_difference(_244584, _244582))], (1022 ^ _204176) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (4 ^ _204176) ^ [_204407, _204409] : [_204409 = _204407, -(_204407 = _204409)], (797 ^ _204176) ^ [_231587, _231589] : [-(in(_231589, _231587)), -(disjoint(singleton(_231589), _231587))], (1305 ^ _204176) ^ [_249688] : [-(union(powerset(_249688)) = _249688)], (298 ^ _204176) ^ [_214447, _214449] : [-(_214447 = powerset(_214449)), 302 ^ _204176 : [(305 ^ _204176) ^ [] : [subset(299 ^ [_214447, _214449], _214449)], (303 ^ _204176) ^ [] : [-(in(299 ^ [_214447, _214449], _214447))]], 306 ^ _204176 : [(309 ^ _204176) ^ [] : [in(299 ^ [_214447, _214449], _214447)], (307 ^ _204176) ^ [] : [-(subset(299 ^ [_214447, _214449], _214449))]]], (1182 ^ _204176) ^ [_245350, _245352] : [subset(_245352, _245350), -(_245350 = set_union2(_245352, set_difference(_245350, _245352)))], (1010 ^ _204176) ^ [_239193] : [-(set_union2(_239193, empty_set) = _239193)], (771 ^ _204176) ^ [_230547, _230549] : [-(set_union2(_230549, _230549) = _230549)], (907 ^ _204176) ^ [] : [empty(905 ^ [])], (909 ^ _204176) ^ [_235479, _235481] : [-(subset(_235481, _235481))], (726 ^ _204176) ^ [] : [true___, -(true___)], (1144 ^ _204176) ^ [_244044, _244046] : [disjoint(_244046, _244044), 1145 ^ _204176 : [(1146 ^ _204176) ^ [_244136] : [in(_244136, _244046), in(_244136, _244044)]]], (329 ^ _204176) ^ [_215416, _215418] : [empty(_215418), 332 ^ _204176 : [(339 ^ _204176) ^ [] : [empty(_215416), -(element(_215416, _215418))], (333 ^ _204176) ^ [] : [element(_215416, _215418), -(empty(_215416))]]], (988 ^ _204176) ^ [_238456, _238458] : [subset(_238456, 968 ^ [_238458]), -(are_equipotent(_238456, 968 ^ [_238458])), -(in(_238456, 968 ^ [_238458]))], (720 ^ _204176) ^ [] : [true___, -(true___)], (668 ^ _204176) ^ [_227945, _227947] : [-(proper_subset(_227947, _227945)), subset(_227947, _227945), -(_227947 = _227945)], (176 ^ _204176) ^ [_210140, _210142, _210144, _210146] : [-(unordered_pair(_210146, _210142) = unordered_pair(_210144, _210140)), _210146 = _210144, _210142 = _210140], (917 ^ _204176) ^ [_235855, _235857, _235859, _235861] : [in(ordered_pair(_235861, _235859), cartesian_product2(_235857, _235855)), 920 ^ _204176 : [(923 ^ _204176) ^ [] : [-(in(_235859, _235855))], (921 ^ _204176) ^ [] : [-(in(_235861, _235857))]]], (124 ^ _204176) ^ [_208268, _208270, _208272, _208274] : [-(ordered_pair(_208274, _208270) = ordered_pair(_208272, _208268)), _208274 = _208272, _208270 = _208268], (1133 ^ _204176) ^ [_243600] : [-(set_difference(_243600, empty_set) = _243600)], (1239 ^ _204176) ^ [_247400] : [-(unordered_pair(_247400, _247400) = singleton(_247400))], (100 ^ _204176) ^ [_207447, _207449, _207451, _207453] : [-(in(_207451, _207447)), in(_207453, _207449), _207453 = _207451, _207449 = _207447], (678 ^ _204176) ^ [] : [true___, -(true___)], (911 ^ _204176) ^ [_235588, _235590] : [disjoint(_235590, _235588), -(disjoint(_235588, _235590))], (1154 ^ _204176) ^ [_244393] : [subset(_244393, empty_set), -(_244393 = empty_set)], (696 ^ _204176) ^ [] : [true___, -(true___)], (367 ^ _204176) ^ [_216641, _216643, _216645] : [-(_216641 = unordered_pair(_216645, _216643)), 371 ^ _204176 : [(376 ^ _204176) ^ [] : [368 ^ [_216641, _216643, _216645] = _216643], (374 ^ _204176) ^ [] : [368 ^ [_216641, _216643, _216645] = _216645], (372 ^ _204176) ^ [] : [-(in(368 ^ [_216641, _216643, _216645], _216641))]], 377 ^ _204176 : [(378 ^ _204176) ^ [] : [-(368 ^ [_216641, _216643, _216645] = _216645), -(368 ^ [_216641, _216643, _216645] = _216643)], (384 ^ _204176) ^ [] : [in(368 ^ [_216641, _216643, _216645], _216641)]]], (254 ^ _204176) ^ [_212905, _212907] : [-(_212905 = singleton(_212907)), 258 ^ _204176 : [(261 ^ _204176) ^ [] : [255 ^ [_212905, _212907] = _212907], (259 ^ _204176) ^ [] : [-(in(255 ^ [_212905, _212907], _212905))]], 262 ^ _204176 : [(265 ^ _204176) ^ [] : [in(255 ^ [_212905, _212907], _212905)], (263 ^ _204176) ^ [] : [-(255 ^ [_212905, _212907] = _212907)]]], (785 ^ _204176) ^ [_231154, _231156] : [in(_231156, _231154), -(set_union2(singleton(_231156), _231154) = _231154)], (1310 ^ _204176) ^ [_250041, _250043, _250045] : [-(in(_250041, 1306 ^ [_250045])), in(_250043, 1306 ^ [_250045]), subset(_250041, _250043)], (1053 ^ _204176) ^ [_240719] : [-(subset(empty_set, _240719))], (1188 ^ _204176) ^ [_245572, _245574] : [in(_245574, _245572), -(set_union2(singleton(_245574), _245572) = _245572)], (847 ^ _204176) ^ [_233359, _233361] : [subset(_233361, singleton(_233359)), -(_233361 = empty_set), -(_233361 = singleton(_233359))], (461 ^ _204176) ^ [_220211, _220213, _220215] : [-(_220211 = cartesian_product2(_220215, _220213)), 479 ^ _204176 : [(486 ^ _204176) ^ [] : [in(462 ^ [_220211, _220213, _220215], _220211)], (480 ^ _204176) ^ [] : [-(in(477 ^ [_220211, _220213, _220215], _220215))], (484 ^ _204176) ^ [] : [-(462 ^ [_220211, _220213, _220215] = ordered_pair(477 ^ [_220211, _220213, _220215], 478 ^ [_220211, _220213, _220215]))], (482 ^ _204176) ^ [] : [-(in(478 ^ [_220211, _220213, _220215], _220213))]], 465 ^ _204176 : [(468 ^ _204176) ^ [_220549, _220551] : [in(_220551, _220215), in(_220549, _220213), 462 ^ [_220211, _220213, _220215] = ordered_pair(_220551, _220549)], (466 ^ _204176) ^ [] : [-(in(462 ^ [_220211, _220213, _220215], _220211))]]], (809 ^ _204176) ^ [_231999, _232001] : [in(_232001, _231999), -(subset(singleton(_232001), _231999))], (998 ^ _204176) ^ [_238781, _238783] : [-(subset(set_intersection2(_238783, _238781), _238783))], (821 ^ _204176) ^ [_232412, _232414] : [subset(_232414, _232412), -(set_difference(_232414, _232412) = empty_set)], (531 ^ _204176) ^ [_222927, _222929, _222931] : [-(_222927 = set_intersection2(_222931, _222929)), 543 ^ _204176 : [(548 ^ _204176) ^ [] : [in(532 ^ [_222927, _222929, _222931], _222927)], (546 ^ _204176) ^ [] : [-(in(532 ^ [_222927, _222929, _222931], _222929))], (544 ^ _204176) ^ [] : [-(in(532 ^ [_222927, _222929, _222931], _222931))]], 535 ^ _204176 : [(538 ^ _204176) ^ [] : [in(532 ^ [_222927, _222929, _222931], _222931), in(532 ^ [_222927, _222929, _222931], _222929)], (536 ^ _204176) ^ [] : [-(in(532 ^ [_222927, _222929, _222931], _222927))]]], (781 ^ _204176) ^ [_230966, _230968] : [proper_subset(_230968, _230968)], (410 ^ _204176) ^ [_218160, _218162, _218164] : [-(_218160 = set_union2(_218164, _218162)), 414 ^ _204176 : [(419 ^ _204176) ^ [] : [in(411 ^ [_218160, _218162, _218164], _218162)], (417 ^ _204176) ^ [] : [in(411 ^ [_218160, _218162, _218164], _218164)], (415 ^ _204176) ^ [] : [-(in(411 ^ [_218160, _218162, _218164], _218160))]], 420 ^ _204176 : [(421 ^ _204176) ^ [] : [-(in(411 ^ [_218160, _218162, _218164], _218164)), -(in(411 ^ [_218160, _218162, _218164], _218162))], (427 ^ _204176) ^ [] : [in(411 ^ [_218160, _218162, _218164], _218160)]]], (732 ^ _204176) ^ [] : [true___, -(true___)], (963 ^ _204176) ^ [_237507, _237509] : [subset(_237509, _237507), -(set_union2(_237509, _237507) = _237507)], (313 ^ _204176) ^ [_215003, _215005] : [-(empty(_215005)), 316 ^ _204176 : [(323 ^ _204176) ^ [] : [in(_215003, _215005), -(element(_215003, _215005))], (317 ^ _204176) ^ [] : [element(_215003, _215005), -(in(_215003, _215005))]]], (1115 ^ _204176) ^ [_243075, _243077] : [subset(_243077, singleton(_243075)), -(_243077 = empty_set), -(_243077 = singleton(_243075))], (1308 ^ _204176) ^ [_249929] : [-(in(_249929, 1306 ^ [_249929]))], (1038 ^ _204176) ^ [_240218, _240220] : [-(_240220 = _240218), 1042 ^ _204176 : [(1045 ^ _204176) ^ [] : [in(1039 ^ [_240218, _240220], _240218)], (1043 ^ _204176) ^ [] : [-(in(1039 ^ [_240218, _240220], _240220))]], 1046 ^ _204176 : [(1049 ^ _204176) ^ [] : [in(1039 ^ [_240218, _240220], _240220)], (1047 ^ _204176) ^ [] : [-(in(1039 ^ [_240218, _240220], _240218))]]], (640 ^ _204176) ^ [_226932, _226934] : [element(_226932, powerset(_226934)), -(subset_complement(_226934, _226932) = set_difference(_226934, _226932))], (619 ^ _204176) ^ [_226175, _226177, _226179] : [-(_226175 = set_difference(_226179, _226177)), 631 ^ _204176 : [(636 ^ _204176) ^ [] : [in(620 ^ [_226175, _226177, _226179], _226175)], (634 ^ _204176) ^ [] : [in(620 ^ [_226175, _226177, _226179], _226177)], (632 ^ _204176) ^ [] : [-(in(620 ^ [_226175, _226177, _226179], _226179))]], 623 ^ _204176 : [(626 ^ _204176) ^ [] : [in(620 ^ [_226175, _226177, _226179], _226179), -(in(620 ^ [_226175, _226177, _226179], _226177))], (624 ^ _204176) ^ [] : [-(in(620 ^ [_226175, _226177, _226179], _226175))]]], (34 ^ _204176) ^ [_205396, _205398, _205400, _205402] : [-(disjoint(_205400, _205396)), disjoint(_205402, _205398), _205402 = _205400, _205398 = _205396], (714 ^ _204176) ^ [_228963, _228965] : [element(_228963, powerset(_228965)), -(element(subset_complement(_228965, _228963), powerset(_228965)))], (1024 ^ _204176) ^ [_239693, _239695, _239697] : [subset(_239697, _239695), -(subset(set_intersection2(_239697, _239693), set_intersection2(_239695, _239693)))], (1333 ^ _204176) ^ [_250875, _250877] : [subset(_250875, 1306 ^ [_250877]), -(are_equipotent(_250875, 1306 ^ [_250877])), -(in(_250875, 1306 ^ [_250877]))], (759 ^ _204176) ^ [_230130, _230132] : [-(empty(_230132)), empty(set_union2(_230132, _230130))], (1259 ^ _204176) ^ [_248110, _248112] : [-(subset(_248112, set_union2(_248112, _248110)))], (1077 ^ _204176) ^ [_241703, _241705] : [subset(_241705, _241703), -(set_difference(_241705, _241703) = empty_set)], (953 ^ _204176) ^ [_237176, _237178, _237180, _237182] : [-(subset(cartesian_product2(_237182, _237178), cartesian_product2(_237180, _237176))), subset(_237182, _237180), subset(_237178, _237176)], (1069 ^ _204176) ^ [_241394, _241396] : [-(subset(set_difference(_241396, _241394), _241396))], (857 ^ _204176) ^ [_233619, _233621] : [858 ^ _204176 : [(861 ^ _204176) ^ [] : [_233621 = singleton(_233619)], (859 ^ _204176) ^ [] : [_233621 = empty_set]], -(subset(_233621, singleton(_233619)))], (1233 ^ _204176) ^ [_247204, _247206] : [-(in(_247204, _247206)), -(set_difference(_247206, singleton(_247204)) = _247206)], (345 ^ _204176) ^ [_215916, _215918, _215920] : [_215916 = unordered_pair(_215920, _215918), 348 ^ _204176 : [(349 ^ _204176) ^ [_216098] : [in(_216098, _215916), -(_216098 = _215920), -(_216098 = _215918)], (359 ^ _204176) ^ [_216376] : [360 ^ _204176 : [(363 ^ _204176) ^ [] : [_216376 = _215918], (361 ^ _204176) ^ [] : [_216376 = _215920]], -(in(_216376, _215916))]]], (192 ^ _204176) ^ [_210697, _210699, _210701, _210703] : [-(subset_complement(_210703, _210699) = subset_complement(_210701, _210697)), _210703 = _210701, _210699 = _210697], (1089 ^ _204176) ^ [_242116, _242118] : [in(_242118, _242116), -(subset(singleton(_242118), _242116))], (1227 ^ _204176) ^ [_247031, _247033] : [set_difference(_247033, singleton(_247031)) = _247033, in(_247031, _247033)], (773 ^ _204176) ^ [_230644, _230646] : [-(set_intersection2(_230646, _230646) = _230646)], (72 ^ _204176) ^ [_206579, _206581, _206583, _206585] : [-(are_equipotent(_206583, _206579)), are_equipotent(_206585, _206581), _206585 = _206583, _206581 = _206579], (1198 ^ _204176) ^ [_245996, _245998] : [-(disjoint(_245998, _245996)), -(in(1201 ^ [_245996, _245998], set_intersection2(_245998, _245996)))], (1135 ^ _204176) ^ [_243730, _243732] : [-(disjoint(_243732, _243730)), 1139 ^ _204176 : [(1142 ^ _204176) ^ [] : [-(in(1138 ^ [_243730, _243732], _243730))], (1140 ^ _204176) ^ [] : [-(in(1138 ^ [_243730, _243732], _243732))]]], (708 ^ _204176) ^ [] : [true___, -(true___)], (218 ^ _204176) ^ [_211673, _211675] : [-(set_intersection2(_211675, _211673) = set_intersection2(_211673, _211675))], (500 ^ _204176) ^ [_221802, _221804] : [502 ^ _204176 : [(505 ^ _204176) ^ [] : [in(501 ^ [_221802, _221804], _221802)], (503 ^ _204176) ^ [] : [-(in(501 ^ [_221802, _221804], _221804))]], -(subset(_221804, _221802))], (1217 ^ _204176) ^ [_246693, _246695, _246697] : [-(disjoint(_246697, _246693)), subset(_246697, _246695), disjoint(_246695, _246693)], (490 ^ _204176) ^ [_221488, _221490] : [subset(_221490, _221488), 493 ^ _204176 : [(494 ^ _204176) ^ [_221625] : [in(_221625, _221490), -(in(_221625, _221488))]]], (202 ^ _204176) ^ [_211066, _211068] : [in(_211068, _211066), in(_211066, _211068)], (646 ^ _204176) ^ [_227143, _227145] : [-(ordered_pair(_227145, _227143) = unordered_pair(unordered_pair(_227145, _227143), singleton(_227145)))], (1113 ^ _204176) ^ [_242928, _242930] : [-(set_union2(_242930, set_difference(_242928, _242930)) = set_union2(_242930, _242928))], (899 ^ _204176) ^ [] : [-(empty(897 ^ []))], (1299 ^ _204176) ^ [_249503, _249505] : [in(_249505, _249503), -(subset(_249505, union(_249503)))], (902 ^ _204176) ^ [_235240] : [-(element(900 ^ [_235240], powerset(_235240)))], (660 ^ _204176) ^ [_227707, _227709] : [proper_subset(_227709, _227707), 663 ^ _204176 : [(666 ^ _204176) ^ [] : [_227709 = _227707], (664 ^ _204176) ^ [] : [-(subset(_227709, _227707))]]], (837 ^ _204176) ^ [_233010, _233012, _233014] : [subset(_233014, _233012), -(in(_233010, _233014)), -(subset(_233014, set_difference(_233012, singleton(_233010))))], (755 ^ _204176) ^ [] : [-(empty(empty_set))], (1247 ^ _204176) ^ [_247700, _247702] : [subset(singleton(_247702), singleton(_247700)), -(_247702 = _247700)], (690 ^ _204176) ^ [] : [true___, -(true___)], (1162 ^ _204176) ^ [_244700, _244702] : [element(_244700, powerset(_244702)), 1165 ^ _204176 : [(1166 ^ _204176) ^ [_244852] : [element(_244852, powerset(_244702)), 1169 ^ _204176 : [(1176 ^ _204176) ^ [] : [subset(_244700, subset_complement(_244702, _244852)), -(disjoint(_244700, _244852))], (1170 ^ _204176) ^ [] : [disjoint(_244700, _244852), -(subset(_244700, subset_complement(_244702, _244852)))]]]]], (702 ^ _204176) ^ [] : [true___, -(true___)], (1012 ^ _204176) ^ [_239317, _239319, _239321] : [-(subset(_239321, _239317)), subset(_239321, _239319), subset(_239319, _239317)], (154 ^ _204176) ^ [_209345, _209347, _209349, _209351] : [-(set_union2(_209351, _209347) = set_union2(_209349, _209345)), _209351 = _209349, _209347 = _209345], (970 ^ _204176) ^ [_237829] : [-(in(_237829, 968 ^ [_237829]))], (1241 ^ _204176) ^ [_247498] : [empty(_247498), -(_247498 = empty_set)], (945 ^ _204176) ^ [_236831, _236833, _236835] : [subset(_236835, _236833), 948 ^ _204176 : [(951 ^ _204176) ^ [] : [-(subset(cartesian_product2(_236831, _236835), cartesian_product2(_236831, _236833)))], (949 ^ _204176) ^ [] : [-(subset(cartesian_product2(_236835, _236831), cartesian_product2(_236833, _236831)))]]], (1103 ^ _204176) ^ [_242626, _242628, _242630] : [-(subset(unordered_pair(_242630, _242628), _242626)), in(_242630, _242626), in(_242628, _242626)], (738 ^ _204176) ^ [] : [true___, -(true___)], (1194 ^ _204176) ^ [_245777, _245779] : [-(set_difference(_245779, set_difference(_245779, _245777)) = set_intersection2(_245779, _245777))], (865 ^ _204176) ^ [_233913, _233915] : [in(_233915, _233913), -(subset(_233915, union(_233913)))], (86 ^ _204176) ^ [_207023, _207025, _207027, _207029] : [-(element(_207027, _207023)), element(_207029, _207025), _207029 = _207027, _207025 = _207023], (114 ^ _204176) ^ [_207909, _207911, _207913, _207915] : [-(cartesian_product2(_207915, _207911) = cartesian_product2(_207913, _207909)), _207915 = _207913, _207911 = _207909], (1000 ^ _204176) ^ [_238907, _238909, _238911] : [-(subset(_238911, set_intersection2(_238909, _238907))), subset(_238911, _238909), subset(_238911, _238907)], (1261 ^ _204176) ^ [_248251, _248253] : [disjoint(_248253, _248251), -(set_difference(_248253, _248251) = _248253)], (552 ^ _204176) ^ [_223709, _223711] : [_223709 = union(_223711), 555 ^ _204176 : [(565 ^ _204176) ^ [_224217] : [-(in(_224217, _223709)), 566 ^ _204176 : [(567 ^ _204176) ^ [_224315] : [in(_224217, _224315), in(_224315, _223711)]]], (556 ^ _204176) ^ [_223890] : [in(_223890, _223709), 560 ^ _204176 : [(563 ^ _204176) ^ [] : [-(in(559 ^ [_223709, _223711, _223890], _223711))], (561 ^ _204176) ^ [] : [-(in(_223890, 559 ^ [_223709, _223711, _223890]))]]]]], (228 ^ _204176) ^ [_212054, _212056] : [-(_212056 = _212054), subset(_212056, _212054), subset(_212054, _212056)], (744 ^ _204176) ^ [] : [true___, -(true___)], (925 ^ _204176) ^ [_236120, _236122, _236124, _236126] : [-(in(ordered_pair(_236126, _236124), cartesian_product2(_236122, _236120))), in(_236126, _236122), in(_236124, _236120)], (208 ^ _204176) ^ [_211277, _211279] : [proper_subset(_211279, _211277), proper_subset(_211277, _211279)], (1061 ^ _204176) ^ [_241096, _241098, _241100, _241102] : [ordered_pair(_241102, _241100) = ordered_pair(_241098, _241096), 1064 ^ _204176 : [(1067 ^ _204176) ^ [] : [-(_241100 = _241096)], (1065 ^ _204176) ^ [] : [-(_241102 = _241098)]]], (1205 ^ _204176) ^ [_246231, _246233] : [1206 ^ _204176 : [(1207 ^ _204176) ^ [_246304] : [in(_246304, set_intersection2(_246233, _246231))]], disjoint(_246233, _246231)], (1030 ^ _204176) ^ [_239921, _239923] : [subset(_239923, _239921), -(set_intersection2(_239923, _239921) = _239923)], (972 ^ _204176) ^ [_237941, _237943, _237945] : [-(in(_237941, 968 ^ [_237945])), in(_237943, 968 ^ [_237945]), subset(_237941, _237943)], (48 ^ _204176) ^ [_205812, _205814] : [-(empty(_205812)), _205814 = _205812, empty(_205814)], (1267 ^ _204176) ^ [_248419, _248421] : [set_difference(_248421, _248419) = _248421, -(disjoint(_248421, _248419))], (10 ^ _204176) ^ [_204611, _204613, _204615] : [-(_204615 = _204611), _204615 = _204613, _204613 = _204611], (1343 ^ _204176) ^ [_251209, _251211, _251213] : [singleton(_251213) = unordered_pair(_251211, _251209), -(_251211 = _251209)], (871 ^ _204176) ^ [_234184, _234186, _234188, _234190] : [in(ordered_pair(_234190, _234188), cartesian_product2(_234186, _234184)), 874 ^ _204176 : [(877 ^ _204176) ^ [] : [-(in(_234188, _234184))], (875 ^ _204176) ^ [] : [-(in(_234190, _234186))]]], (144 ^ _204176) ^ [_208986, _208988, _208990, _208992] : [-(set_difference(_208992, _208988) = set_difference(_208990, _208986)), _208992 = _208990, _208988 = _208986], (1273 ^ _204176) ^ [_248637, _248639] : [empty(_248639), -(_248639 = _248637), empty(_248637)], (134 ^ _204176) ^ [_208627, _208629, _208631, _208633] : [-(set_intersection2(_208633, _208629) = set_intersection2(_208631, _208627)), _208633 = _208631, _208629 = _208627], (803 ^ _204176) ^ [_231833, _231835] : [subset(singleton(_231835), _231833), -(in(_231835, _231833))], (1253 ^ _204176) ^ [_247918, _247920] : [in(_247920, _247918), empty(_247918)], (269 ^ _204176) ^ [_213456] : [_213456 = empty_set, 272 ^ _204176 : [(273 ^ _204176) ^ [_213569] : [in(_213569, _213456)]]], (879 ^ _204176) ^ [_234449, _234451, _234453, _234455] : [-(in(ordered_pair(_234455, _234453), cartesian_product2(_234451, _234449))), in(_234455, _234451), in(_234453, _234449)], (1036 ^ _204176) ^ [_240108] : [-(set_intersection2(_240108, empty_set) = empty_set)], (783 ^ _204176) ^ [_231045] : [singleton(_231045) = empty_set], (214 ^ _204176) ^ [_211473, _211475] : [-(unordered_pair(_211475, _211473) = unordered_pair(_211473, _211475))], (1283 ^ _204176) ^ [_248948, _248950, _248952] : [-(subset(set_union2(_248952, _248948), _248950)), subset(_248952, _248950), subset(_248948, _248950)], (648 ^ _204176) ^ [_227292, _227294] : [disjoint(_227294, _227292), -(set_intersection2(_227294, _227292) = empty_set)], (58 ^ _204176) ^ [_206135, _206137, _206139, _206141] : [-(subset(_206139, _206135)), subset(_206141, _206137), _206141 = _206139, _206137 = _206135], (1293 ^ _204176) ^ [_249277, _249279, _249281] : [singleton(_249281) = unordered_pair(_249279, _249277), -(_249281 = _249279)], (751 ^ _204176) ^ [_229792] : [-(element(749 ^ [_229792], _229792))], (904 ^ _204176) ^ [_235291] : [-(empty(900 ^ [_235291]))], (238 ^ _204176) ^ [_212384, _212386] : [_212384 = singleton(_212386), 241 ^ _204176 : [(248 ^ _204176) ^ [_212726] : [_212726 = _212386, -(in(_212726, _212384))], (242 ^ _204176) ^ [_212554] : [in(_212554, _212384), -(_212554 = _212386)]]], (509 ^ _204176) ^ [_222202, _222204, _222206] : [_222202 = set_intersection2(_222206, _222204), 512 ^ _204176 : [(521 ^ _204176) ^ [_222643] : [-(in(_222643, _222202)), in(_222643, _222206), in(_222643, _222204)], (513 ^ _204176) ^ [_222384] : [in(_222384, _222202), 516 ^ _204176 : [(519 ^ _204176) ^ [] : [-(in(_222384, _222204))], (517 ^ _204176) ^ [] : [-(in(_222384, _222206))]]]]], (186 ^ _204176) ^ [_210471, _210473] : [_210473 = _210471, -(powerset(_210473) = powerset(_210471))], (1125 ^ _204176) ^ [_243335, _243337] : [1126 ^ _204176 : [(1129 ^ _204176) ^ [] : [_243337 = singleton(_243335)], (1127 ^ _204176) ^ [] : [_243337 = empty_set]], -(subset(_243337, singleton(_243335)))], (753 ^ _204176) ^ [_229874] : [empty(powerset(_229874))], (1055 ^ _204176) ^ [_240840, _240842, _240844] : [subset(_240844, _240842), -(subset(set_difference(_240844, _240840), set_difference(_240842, _240840)))], (220 ^ _204176) ^ [_211817, _211819] : [_211819 = _211817, 223 ^ _204176 : [(226 ^ _204176) ^ [] : [-(subset(_211817, _211819))], (224 ^ _204176) ^ [] : [-(subset(_211819, _211817))]]], (575 ^ _204176) ^ [_224554, _224556] : [-(_224554 = union(_224556)), 588 ^ _204176 : [(593 ^ _204176) ^ [] : [in(576 ^ [_224554, _224556], _224554)], (591 ^ _204176) ^ [] : [-(in(587 ^ [_224554, _224556], _224556))], (589 ^ _204176) ^ [] : [-(in(576 ^ [_224554, _224556], 587 ^ [_224554, _224556]))]], 579 ^ _204176 : [(582 ^ _204176) ^ [_224837] : [in(576 ^ [_224554, _224556], _224837), in(_224837, _224556)], (580 ^ _204176) ^ [] : [-(in(576 ^ [_224554, _224556], _224554))]]], (982 ^ _204176) ^ [_238256, _238258] : [in(_238256, 968 ^ [_238258]), -(in(powerset(_238256), 968 ^ [_238258]))], (757 ^ _204176) ^ [_230019, _230021] : [empty(ordered_pair(_230021, _230019))], (1211 ^ _204176) ^ [_246470, _246472] : [subset(_246472, _246470), proper_subset(_246470, _246472)], (765 ^ _204176) ^ [_230346, _230348] : [-(empty(_230348)), empty(set_union2(_230346, _230348))], (275 ^ _204176) ^ [_213635] : [-(in(276 ^ [_213635], _213635)), -(_213635 = empty_set)], (775 ^ _204176) ^ [_230756, _230758] : [element(_230756, powerset(_230758)), -(subset_complement(_230758, subset_complement(_230758, _230756)) = _230756)], (20 ^ _204176) ^ [_204952, _204954, _204956, _204958] : [-(proper_subset(_204956, _204952)), proper_subset(_204958, _204954), _204958 = _204956, _204954 = _204952], (170 ^ _204176) ^ [_209894, _209896] : [_209896 = _209894, -(singleton(_209896) = singleton(_209894))], (827 ^ _204176) ^ [_232630, _232632] : [element(_232630, powerset(_232632)), 830 ^ _204176 : [(831 ^ _204176) ^ [_232771] : [in(_232771, _232630), -(in(_232771, _232632))]]], (935 ^ _204176) ^ [_236481, _236483, _236485, _236487] : [unordered_pair(_236487, _236485) = unordered_pair(_236483, _236481), -(_236487 = _236483), -(_236487 = _236481)], (216 ^ _204176) ^ [_211573, _211575] : [-(set_union2(_211575, _211573) = set_union2(_211573, _211575))], (1196 ^ _204176) ^ [_245866] : [-(set_difference(empty_set, _245866) = empty_set)], (164 ^ _204176) ^ [_209676, _209678] : [_209678 = _209676, -(union(_209678) = union(_209676))], (431 ^ _204176) ^ [_218954, _218956, _218958] : [_218954 = cartesian_product2(_218958, _218956), 434 ^ _204176 : [(447 ^ _204176) ^ [_219715] : [-(in(_219715, _218954)), 448 ^ _204176 : [(449 ^ _204176) ^ [_219845, _219847] : [in(_219847, _218958), in(_219845, _218956), _219715 = ordered_pair(_219847, _219845)]]], (435 ^ _204176) ^ [_219155] : [in(_219155, _218954), 440 ^ _204176 : [(445 ^ _204176) ^ [] : [-(_219155 = ordered_pair(438 ^ [_218954, _218956, _218958, _219155], 439 ^ [_218954, _218956, _218958, _219155]))], (443 ^ _204176) ^ [] : [-(in(439 ^ [_218954, _218956, _218958, _219155], _218956))], (441 ^ _204176) ^ [] : [-(in(438 ^ [_218954, _218956, _218958, _219155], _218958))]]]]]], input).
% 194.51/188.85  ncf('1',plain,[-(element(1351 ^ [], powerset(1348 ^ [])))],start(1353 ^ 0)).
% 194.51/188.85  ncf('1.1',plain,[element(1351 ^ [], powerset(1348 ^ [])), -(subset_complement(1348 ^ [], 1351 ^ []) = set_difference(1348 ^ [], 1351 ^ []))],extension(640 ^ 1,bind([[_226932, _226934], [1351 ^ [], 1348 ^ []]]))).
% 194.51/188.85  ncf('1.1.1',plain,[subset_complement(1348 ^ [], 1351 ^ []) = set_difference(1348 ^ [], 1351 ^ []), 609 : -(in(1354 ^ [], subset_complement(1348 ^ [], 1351 ^ []))), 609 : in(1354 ^ [], 1348 ^ []), 609 : -(in(1354 ^ [], 1351 ^ []))],extension(597 ^ 2,bind([[_225444, _225446, _225448, _225888], [subset_complement(1348 ^ [], 1351 ^ []), 1351 ^ [], 1348 ^ [], 1354 ^ []]]))).
% 194.51/188.85  ncf('1.1.1.1',plain,[in(1354 ^ [], subset_complement(1348 ^ [], 1351 ^ []))],extension(1360 ^ 5)).
% 194.51/188.85  ncf('1.1.1.2',plain,[-(in(1354 ^ [], 1348 ^ [])), 317 : element(1354 ^ [], 1348 ^ []), 317 : -(empty(1348 ^ []))],extension(313 ^ 5,bind([[_215003, _215005], [1354 ^ [], 1348 ^ []]]))).
% 194.51/188.85  ncf('1.1.1.2.1',plain,[-(element(1354 ^ [], 1348 ^ []))],extension(1356 ^ 8)).
% 194.51/188.85  ncf('1.1.1.2.2',plain,[empty(1348 ^ []), -(1348 ^ [] = empty_set)],extension(1241 ^ 6,bind([[_247498], [1348 ^ []]]))).
% 194.51/188.85  ncf('1.1.1.2.2.1',plain,[1348 ^ [] = empty_set],extension(1350 ^ 7)).
% 194.51/188.85  ncf('1.1.1.3',plain,[in(1354 ^ [], 1351 ^ [])],extension(1358 ^ 5)).
% 194.51/188.85  %-----------------------------------------------------
% 194.51/188.85  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------