TSTP Solution File: SET666+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET666+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 11:56:15 EDT 2023

% Result   : Theorem 134.48s 130.55s
% Output   : Proof 134.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET666+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n029.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 19:23:13 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 134.48/130.55  
% 134.48/130.55  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 134.48/130.55  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 134.48/130.55  %-----------------------------------------------------
% 134.48/130.55  ncf(matrix, plain, [(522 ^ _72983) ^ [] : [-(ilf_type(520 ^ [], set_type))], (524 ^ _72983) ^ [] : [ilf_type(identity_relation_of(520 ^ []), identity_relation_of_type(520 ^ []))], (82 ^ _72983) ^ [_75695, _75697, _75699, _75701] : [-(relation_type(_75701, _75697) = relation_type(_75699, _75695)), _75701 = _75699, _75697 = _75695], (92 ^ _72983) ^ [_76026, _76028] : [_76028 = _76026, -(power_set(_76028) = power_set(_76026))], (98 ^ _72983) ^ [_76244, _76246] : [_76246 = _76244, -(member_type(_76246) = member_type(_76244))], (104 ^ _72983) ^ [_76490, _76492, _76494, _76496] : [-(ordered_pair(_76496, _76492) = ordered_pair(_76494, _76490)), _76496 = _76494, _76492 = _76490], (114 ^ _72983) ^ [_76821, _76823] : [_76823 = _76821, -(subset_type(_76823) = subset_type(_76821))], (120 ^ _72983) ^ [_77067, _77069, _77071, _77073] : [-(cross_product(_77073, _77069) = cross_product(_77071, _77067)), _77073 = _77071, _77069 = _77067], (130 ^ _72983) ^ [_77398, _77400] : [_77400 = _77398, -(identity_relation_of(_77400) = identity_relation_of(_77398))], (136 ^ _72983) ^ [_77596, _77598] : [_77598 = _77596, -(identity_relation_of_type(_77598) = identity_relation_of_type(_77596))], (2 ^ _72983) ^ [_73127] : [-(_73127 = _73127)], (4 ^ _72983) ^ [_73234, _73236] : [_73236 = _73234, -(_73234 = _73236)], (10 ^ _72983) ^ [_73438, _73440, _73442] : [-(_73442 = _73438), _73442 = _73440, _73440 = _73438], (20 ^ _72983) ^ [_73779, _73781, _73783, _73785] : [-(subset(_73783, _73779)), subset(_73785, _73781), _73785 = _73783, _73781 = _73779], (34 ^ _72983) ^ [_74223, _74225, _74227, _74229] : [-(member(_74227, _74223)), member(_74229, _74225), _74229 = _74227, _74225 = _74223], (48 ^ _72983) ^ [_74639, _74641] : [-(empty(_74639)), _74641 = _74639, empty(_74641)], (58 ^ _72983) ^ [_74934, _74936] : [-(relation_like(_74934)), _74936 = _74934, relation_like(_74936)], (68 ^ _72983) ^ [_75237, _75239, _75241, _75243] : [-(ilf_type(_75241, _75237)), ilf_type(_75243, _75239), _75243 = _75241, _75239 = _75237], (142 ^ _72983) ^ [_77830] : [ilf_type(_77830, set_type), 145 ^ _72983 : [(146 ^ _72983) ^ [_78007] : [ilf_type(_78007, set_type), 149 ^ _72983 : [(150 ^ _72983) ^ [_78199] : [ilf_type(_78199, subset_type(cross_product(_77830, _78007))), -(ilf_type(_78199, relation_type(_77830, _78007)))], (156 ^ _72983) ^ [_78401] : [ilf_type(_78401, relation_type(_77830, _78007)), -(ilf_type(_78401, subset_type(cross_product(_77830, _78007))))]]]]], (162 ^ _72983) ^ [_78635] : [ilf_type(_78635, set_type), 165 ^ _72983 : [(166 ^ _72983) ^ [_78776] : [ilf_type(_78776, set_type), -(ilf_type(169 ^ [_78635, _78776], relation_type(_78776, _78635)))]]], (173 ^ _72983) ^ [_79045] : [ilf_type(_79045, set_type), -(subset(identity_relation_of(_79045), cross_product(_79045, _79045)))], (179 ^ _72983) ^ [_79245] : [ilf_type(_79245, set_type), 182 ^ _72983 : [(183 ^ _72983) ^ [_79406] : [ilf_type(_79406, set_type), 186 ^ _72983 : [(187 ^ _72983) ^ [_79562] : [ilf_type(_79562, set_type), 190 ^ _72983 : [(191 ^ _72983) ^ [] : [member(ordered_pair(_79406, _79562), identity_relation_of(_79245)), 194 ^ _72983 : [(195 ^ _72983) ^ [] : [-(member(_79406, _79245))], (197 ^ _72983) ^ [] : [-(_79406 = _79562)]]], (199 ^ _72983) ^ [] : [-(member(ordered_pair(_79406, _79562), identity_relation_of(_79245))), member(_79406, _79245), _79406 = _79562]]]]]]], (209 ^ _72983) ^ [_80217] : [ilf_type(_80217, set_type), -(ilf_type(identity_relation_of(_80217), binary_relation_type))], (215 ^ _72983) ^ [_80411] : [ilf_type(_80411, set_type), 218 ^ _72983 : [(219 ^ _72983) ^ [_80555] : [ilf_type(_80555, set_type), 222 ^ _72983 : [(223 ^ _72983) ^ [] : [ilf_type(_80555, identity_relation_of_type(_80411)), -(ilf_type(_80555, relation_type(_80411, _80411)))], (229 ^ _72983) ^ [] : [ilf_type(_80555, relation_type(_80411, _80411)), -(ilf_type(_80555, identity_relation_of_type(_80411)))]]]]], (235 ^ _72983) ^ [_81023] : [ilf_type(_81023, set_type), -(ilf_type(238 ^ [_81023], identity_relation_of_type(_81023)))], (242 ^ _72983) ^ [_81270] : [ilf_type(_81270, set_type), 245 ^ _72983 : [(246 ^ _72983) ^ [_81406] : [ilf_type(_81406, set_type), -(ilf_type(cross_product(_81270, _81406), set_type))]]], (252 ^ _72983) ^ [_81615] : [ilf_type(_81615, set_type), 255 ^ _72983 : [(256 ^ _72983) ^ [_81751] : [ilf_type(_81751, set_type), -(ilf_type(ordered_pair(_81615, _81751), set_type))]]], (262 ^ _72983) ^ [_81960] : [ilf_type(_81960, set_type), 265 ^ _72983 : [(266 ^ _72983) ^ [] : [ilf_type(_81960, binary_relation_type), 269 ^ _72983 : [(270 ^ _72983) ^ [] : [-(relation_like(_81960))], (272 ^ _72983) ^ [] : [-(ilf_type(_81960, set_type))]]], (274 ^ _72983) ^ [] : [-(ilf_type(_81960, binary_relation_type)), relation_like(_81960), ilf_type(_81960, set_type)]]], (285 ^ _72983) ^ [] : [-(ilf_type(283 ^ [], binary_relation_type))], (287 ^ _72983) ^ [_82629] : [ilf_type(_82629, set_type), 290 ^ _72983 : [(291 ^ _72983) ^ [_82774] : [ilf_type(_82774, set_type), 294 ^ _72983 : [(295 ^ _72983) ^ [] : [ilf_type(_82774, subset_type(_82629)), -(ilf_type(_82774, member_type(power_set(_82629))))], (301 ^ _72983) ^ [] : [ilf_type(_82774, member_type(power_set(_82629))), -(ilf_type(_82774, subset_type(_82629)))]]]]], (307 ^ _72983) ^ [_83245] : [ilf_type(_83245, set_type), -(ilf_type(310 ^ [_83245], subset_type(_83245)))], (314 ^ _72983) ^ [_83492] : [ilf_type(_83492, set_type), 317 ^ _72983 : [(318 ^ _72983) ^ [_83648] : [ilf_type(_83648, set_type), 321 ^ _72983 : [(336 ^ _72983) ^ [] : [338 ^ _72983 : [(339 ^ _72983) ^ [] : [-(ilf_type(337 ^ [_83492, _83648], set_type))], (341 ^ _72983) ^ [] : [-(member(337 ^ [_83492, _83648], _83492))], (343 ^ _72983) ^ [] : [member(337 ^ [_83492, _83648], _83648)]], -(subset(_83492, _83648))], (322 ^ _72983) ^ [] : [subset(_83492, _83648), 325 ^ _72983 : [(326 ^ _72983) ^ [_83907] : [ilf_type(_83907, set_type), member(_83907, _83492), -(member(_83907, _83648))]]]]]]], (347 ^ _72983) ^ [_84567] : [ilf_type(_84567, set_type), -(subset(_84567, _84567))], (353 ^ _72983) ^ [_84757] : [ilf_type(_84757, set_type), 356 ^ _72983 : [(357 ^ _72983) ^ [_84915] : [ilf_type(_84915, set_type), 360 ^ _72983 : [(375 ^ _72983) ^ [] : [377 ^ _72983 : [(378 ^ _72983) ^ [] : [-(ilf_type(376 ^ [_84757, _84915], set_type))], (380 ^ _72983) ^ [] : [-(member(376 ^ [_84757, _84915], _84757))], (382 ^ _72983) ^ [] : [member(376 ^ [_84757, _84915], _84915)]], -(member(_84757, power_set(_84915)))], (361 ^ _72983) ^ [] : [member(_84757, power_set(_84915)), 364 ^ _72983 : [(365 ^ _72983) ^ [_85178] : [ilf_type(_85178, set_type), member(_85178, _84757), -(member(_85178, _84915))]]]]]]], (386 ^ _72983) ^ [_85840] : [ilf_type(_85840, set_type), 389 ^ _72983 : [(390 ^ _72983) ^ [] : [empty(power_set(_85840))], (392 ^ _72983) ^ [] : [-(ilf_type(power_set(_85840), set_type))]]], (394 ^ _72983) ^ [_86110] : [ilf_type(_86110, set_type), 397 ^ _72983 : [(398 ^ _72983) ^ [_86258] : [-(empty(_86258)), ilf_type(_86258, set_type), 405 ^ _72983 : [(406 ^ _72983) ^ [] : [ilf_type(_86110, member_type(_86258)), -(member(_86110, _86258))], (412 ^ _72983) ^ [] : [member(_86110, _86258), -(ilf_type(_86110, member_type(_86258)))]]]]], (418 ^ _72983) ^ [_86809] : [-(ilf_type(425 ^ [_86809], member_type(_86809))), -(empty(_86809)), ilf_type(_86809, set_type)], (429 ^ _72983) ^ [_87142] : [ilf_type(_87142, set_type), 432 ^ _72983 : [(433 ^ _72983) ^ [] : [relation_like(_87142), 436 ^ _72983 : [(437 ^ _72983) ^ [_87414] : [ilf_type(_87414, set_type), member(_87414, _87142), 445 ^ _72983 : [(446 ^ _72983) ^ [] : [-(ilf_type(444 ^ [_87142, _87414], set_type))], (449 ^ _72983) ^ [] : [-(ilf_type(447 ^ [_87142, _87414], set_type))], (451 ^ _72983) ^ [] : [-(_87414 = ordered_pair(444 ^ [_87142, _87414], 447 ^ [_87142, _87414]))]]]]], (453 ^ _72983) ^ [] : [-(relation_like(_87142)), 455 ^ _72983 : [(456 ^ _72983) ^ [] : [-(ilf_type(454 ^ [_87142], set_type))], (458 ^ _72983) ^ [] : [-(member(454 ^ [_87142], _87142))], (460 ^ _72983) ^ [_88253] : [ilf_type(_88253, set_type), 463 ^ _72983 : [(464 ^ _72983) ^ [_88400] : [ilf_type(_88400, set_type), 454 ^ [_87142] = ordered_pair(_88253, _88400)]]]]]]], (472 ^ _72983) ^ [_88685] : [ilf_type(_88685, set_type), 475 ^ _72983 : [(476 ^ _72983) ^ [_88833] : [ilf_type(_88833, set_type), 479 ^ _72983 : [(480 ^ _72983) ^ [_88976] : [ilf_type(_88976, subset_type(cross_product(_88685, _88833))), -(relation_like(_88976))]]]]], (519 ^ _72983) ^ [_90139] : [-(ilf_type(_90139, set_type))], (509 ^ _72983) ^ [_89903] : [-(relation_like(_89903)), empty(_89903), ilf_type(_89903, set_type)], (486 ^ _72983) ^ [_89200] : [ilf_type(_89200, set_type), 489 ^ _72983 : [(500 ^ _72983) ^ [] : [502 ^ _72983 : [(503 ^ _72983) ^ [] : [-(ilf_type(501 ^ [_89200], set_type))], (505 ^ _72983) ^ [] : [-(member(501 ^ [_89200], _89200))]], -(empty(_89200))], (490 ^ _72983) ^ [] : [empty(_89200), 493 ^ _72983 : [(494 ^ _72983) ^ [_89443] : [ilf_type(_89443, set_type), member(_89443, _89200)]]]]]], input).
% 134.48/130.55  ncf('1',plain,[ilf_type(identity_relation_of(520 ^ []), identity_relation_of_type(520 ^ []))],start(524 ^ 0)).
% 134.48/130.55  ncf('1.1',plain,[-(ilf_type(identity_relation_of(520 ^ []), identity_relation_of_type(520 ^ []))), 229 : ilf_type(identity_relation_of(520 ^ []), relation_type(520 ^ [], 520 ^ [])), 229 : ilf_type(identity_relation_of(520 ^ []), set_type), 219 : ilf_type(520 ^ [], set_type)],extension(215 ^ 1,bind([[_80411, _80555], [520 ^ [], identity_relation_of(520 ^ [])]]))).
% 134.48/130.55  ncf('1.1.1',plain,[-(ilf_type(identity_relation_of(520 ^ []), relation_type(520 ^ [], 520 ^ []))), 150 : ilf_type(identity_relation_of(520 ^ []), subset_type(cross_product(520 ^ [], 520 ^ []))), 150 : ilf_type(520 ^ [], set_type), 146 : ilf_type(520 ^ [], set_type)],extension(142 ^ 6,bind([[_77830, _78007, _78199], [520 ^ [], 520 ^ [], identity_relation_of(520 ^ [])]]))).
% 134.48/130.55  ncf('1.1.1.1',plain,[-(ilf_type(identity_relation_of(520 ^ []), subset_type(cross_product(520 ^ [], 520 ^ [])))), 301 : ilf_type(identity_relation_of(520 ^ []), member_type(power_set(cross_product(520 ^ [], 520 ^ [])))), 301 : ilf_type(identity_relation_of(520 ^ []), set_type), 291 : ilf_type(cross_product(520 ^ [], 520 ^ []), set_type)],extension(287 ^ 11,bind([[_82629, _82774], [cross_product(520 ^ [], 520 ^ []), identity_relation_of(520 ^ [])]]))).
% 134.48/130.55  ncf('1.1.1.1.1',plain,[-(ilf_type(identity_relation_of(520 ^ []), member_type(power_set(cross_product(520 ^ [], 520 ^ []))))), 412 : member(identity_relation_of(520 ^ []), power_set(cross_product(520 ^ [], 520 ^ []))), 412 : -(empty(power_set(cross_product(520 ^ [], 520 ^ [])))), 412 : ilf_type(power_set(cross_product(520 ^ [], 520 ^ [])), set_type), 398 : ilf_type(identity_relation_of(520 ^ []), set_type)],extension(394 ^ 16,bind([[_86110, _86258], [identity_relation_of(520 ^ []), power_set(cross_product(520 ^ [], 520 ^ []))]]))).
% 134.48/130.55  ncf('1.1.1.1.1.1',plain,[-(member(identity_relation_of(520 ^ []), power_set(cross_product(520 ^ [], 520 ^ [])))), 378 : -(ilf_type(376 ^ [identity_relation_of(520 ^ []), cross_product(520 ^ [], 520 ^ [])], set_type)), 375 : ilf_type(cross_product(520 ^ [], 520 ^ []), set_type), 357 : ilf_type(identity_relation_of(520 ^ []), set_type)],extension(353 ^ 21,bind([[_84757, _84915], [identity_relation_of(520 ^ []), cross_product(520 ^ [], 520 ^ [])]]))).
% 134.48/130.55  ncf('1.1.1.1.1.1.1',plain,[ilf_type(376 ^ [identity_relation_of(520 ^ []), cross_product(520 ^ [], 520 ^ [])], set_type), 326 : member(376 ^ [identity_relation_of(520 ^ []), cross_product(520 ^ [], 520 ^ [])], identity_relation_of(520 ^ [])), 326 : -(member(376 ^ [identity_relation_of(520 ^ []), cross_product(520 ^ [], 520 ^ [])], cross_product(520 ^ [], 520 ^ []))), 326 : subset(identity_relation_of(520 ^ []), cross_product(520 ^ [], 520 ^ [])), 322 : ilf_type(cross_product(520 ^ [], 520 ^ []), set_type), 318 : ilf_type(identity_relation_of(520 ^ []), set_type)],extension(314 ^ 28,bind([[_83492, _83648, _83907], [identity_relation_of(520 ^ []), cross_product(520 ^ [], 520 ^ []), 376 ^ [identity_relation_of(520 ^ []), cross_product(520 ^ [], 520 ^ [])]]]))).
% 134.48/130.55  ncf('1.1.1.1.1.1.1.1',plain,[-(member(376 ^ [identity_relation_of(520 ^ []), cross_product(520 ^ [], 520 ^ [])], identity_relation_of(520 ^ [])))],extension(380 ^ 35)).
% 134.48/130.55  ncf('1.1.1.1.1.1.1.2',plain,[member(376 ^ [identity_relation_of(520 ^ []), cross_product(520 ^ [], 520 ^ [])], cross_product(520 ^ [], 520 ^ []))],extension(382 ^ 35)).
% 134.48/130.55  ncf('1.1.1.1.1.1.1.3',plain,[-(subset(identity_relation_of(520 ^ []), cross_product(520 ^ [], 520 ^ []))), ilf_type(520 ^ [], set_type)],extension(173 ^ 33,bind([[_79045], [520 ^ []]]))).
% 134.48/130.55  ncf('1.1.1.1.1.1.1.3.1',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 34)).
% 134.48/130.55  ncf('1.1.1.1.1.1.1.4',plain,[-(ilf_type(cross_product(520 ^ [], 520 ^ []), set_type)), 246 : ilf_type(520 ^ [], set_type), 246 : ilf_type(520 ^ [], set_type)],extension(242 ^ 31,bind([[_81270, _81406], [520 ^ [], 520 ^ []]]))).
% 134.48/130.55  ncf('1.1.1.1.1.1.1.4.1',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 34)).
% 134.48/130.55  ncf('1.1.1.1.1.1.1.4.2',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 32)).
% 134.48/130.55  ncf('1.1.1.1.1.1.1.5',plain,[-(ilf_type(identity_relation_of(520 ^ []), set_type))],extension(519 ^ 29,bind([[_90139], [identity_relation_of(520 ^ [])]]))).
% 134.48/130.55  ncf('1.1.1.1.1.1.2',plain,[-(ilf_type(cross_product(520 ^ [], 520 ^ []), set_type)), 246 : ilf_type(520 ^ [], set_type), 246 : ilf_type(520 ^ [], set_type)],extension(242 ^ 24,bind([[_81270, _81406], [520 ^ [], 520 ^ []]]))).
% 134.48/130.55  ncf('1.1.1.1.1.1.2.1',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 27)).
% 134.48/130.55  ncf('1.1.1.1.1.1.2.2',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 25)).
% 134.48/130.55  ncf('1.1.1.1.1.1.3',plain,[-(ilf_type(identity_relation_of(520 ^ []), set_type))],extension(519 ^ 22,bind([[_90139], [identity_relation_of(520 ^ [])]]))).
% 134.48/130.55  ncf('1.1.1.1.1.2',plain,[empty(power_set(cross_product(520 ^ [], 520 ^ []))), ilf_type(cross_product(520 ^ [], 520 ^ []), set_type)],extension(386 ^ 19,bind([[_85840], [cross_product(520 ^ [], 520 ^ [])]]))).
% 134.48/130.55  ncf('1.1.1.1.1.2.1',plain,[-(ilf_type(cross_product(520 ^ [], 520 ^ []), set_type)), 246 : ilf_type(520 ^ [], set_type), 246 : ilf_type(520 ^ [], set_type)],extension(242 ^ 20,bind([[_81270, _81406], [520 ^ [], 520 ^ []]]))).
% 134.48/130.55  ncf('1.1.1.1.1.2.1.1',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 23)).
% 134.48/130.55  ncf('1.1.1.1.1.2.1.2',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 21)).
% 134.48/130.55  ncf('1.1.1.1.1.3',plain,[-(ilf_type(power_set(cross_product(520 ^ [], 520 ^ [])), set_type)), ilf_type(cross_product(520 ^ [], 520 ^ []), set_type)],extension(386 ^ 19,bind([[_85840], [cross_product(520 ^ [], 520 ^ [])]]))).
% 134.48/130.55  ncf('1.1.1.1.1.3.1',plain,[-(ilf_type(cross_product(520 ^ [], 520 ^ []), set_type)), 246 : ilf_type(520 ^ [], set_type), 246 : ilf_type(520 ^ [], set_type)],extension(242 ^ 20,bind([[_81270, _81406], [520 ^ [], 520 ^ []]]))).
% 134.48/130.55  ncf('1.1.1.1.1.3.1.1',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 23)).
% 134.48/130.55  ncf('1.1.1.1.1.3.1.2',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 21)).
% 134.48/130.55  ncf('1.1.1.1.1.4',plain,[-(ilf_type(identity_relation_of(520 ^ []), set_type))],extension(519 ^ 17,bind([[_90139], [identity_relation_of(520 ^ [])]]))).
% 134.48/130.55  ncf('1.1.1.1.2',plain,[-(ilf_type(identity_relation_of(520 ^ []), set_type))],extension(519 ^ 14,bind([[_90139], [identity_relation_of(520 ^ [])]]))).
% 134.48/130.55  ncf('1.1.1.1.3',plain,[-(ilf_type(cross_product(520 ^ [], 520 ^ []), set_type)), 246 : ilf_type(520 ^ [], set_type), 246 : ilf_type(520 ^ [], set_type)],extension(242 ^ 12,bind([[_81270, _81406], [520 ^ [], 520 ^ []]]))).
% 134.48/130.55  ncf('1.1.1.1.3.1',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 15)).
% 134.48/130.55  ncf('1.1.1.1.3.2',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 13)).
% 134.48/130.55  ncf('1.1.1.2',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 9)).
% 134.48/130.55  ncf('1.1.1.3',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 7)).
% 134.48/130.55  ncf('1.1.2',plain,[-(ilf_type(identity_relation_of(520 ^ []), set_type))],extension(519 ^ 4,bind([[_90139], [identity_relation_of(520 ^ [])]]))).
% 134.48/130.55  ncf('1.1.3',plain,[-(ilf_type(520 ^ [], set_type))],extension(522 ^ 2)).
% 134.48/130.55  %-----------------------------------------------------
% 134.48/130.55  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------