TSTP Solution File: SEU062+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU062+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 12:02:09 EDT 2023
% Result : Theorem 0.31s 1.39s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU062+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 13:18:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.31/1.39
% 0.31/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.39 %-----------------------------------------------------
% 0.31/1.39 ncf(matrix, plain, [(376 ^ _53889) ^ [] : [-(relation(374 ^ []))], (384 ^ _53889) ^ [] : [subset(373 ^ [], relation_rng(374 ^ []))], (378 ^ _53889) ^ [_66269] : [in(_66269, 373 ^ []), relation_inverse_image(374 ^ [], singleton(_66269)) = empty_set], (112 ^ _53889) ^ [_57464, _57466] : [_57466 = _57464, -(powerset(_57466) = powerset(_57464))], (118 ^ _53889) ^ [_57710, _57712, _57714, _57716] : [-(relation_inverse_image(_57716, _57712) = relation_inverse_image(_57714, _57710)), _57716 = _57714, _57712 = _57710], (128 ^ _53889) ^ [_58041, _58043] : [_58043 = _58041, -(singleton(_58043) = singleton(_58041))], (134 ^ _53889) ^ [_58239, _58241] : [_58241 = _58239, -(relation_rng(_58241) = relation_rng(_58239))], (2 ^ _53889) ^ [_54033] : [-(_54033 = _54033)], (4 ^ _53889) ^ [_54140, _54142] : [_54142 = _54140, -(_54140 = _54142)], (10 ^ _53889) ^ [_54344, _54346, _54348] : [-(_54348 = _54344), _54348 = _54346, _54346 = _54344], (20 ^ _53889) ^ [_54657, _54659] : [-(function(_54657)), _54659 = _54657, function(_54659)], (30 ^ _53889) ^ [_54952, _54954] : [-(one_to_one(_54952)), _54954 = _54952, one_to_one(_54954)], (40 ^ _53889) ^ [_55247, _55249] : [-(relation_empty_yielding(_55247)), _55249 = _55247, relation_empty_yielding(_55249)], (50 ^ _53889) ^ [_55570, _55572, _55574, _55576] : [-(element(_55574, _55570)), element(_55576, _55572), _55576 = _55574, _55572 = _55570], (64 ^ _53889) ^ [_55986, _55988] : [-(empty(_55986)), _55988 = _55986, empty(_55988)], (74 ^ _53889) ^ [_56281, _56283] : [-(relation(_56281)), _56283 = _56281, relation(_56283)], (84 ^ _53889) ^ [_56604, _56606, _56608, _56610] : [-(in(_56608, _56604)), in(_56610, _56606), _56610 = _56608, _56606 = _56604], (98 ^ _53889) ^ [_57028, _57030, _57032, _57034] : [-(subset(_57032, _57028)), subset(_57034, _57030), _57034 = _57032, _57030 = _57028], (140 ^ _53889) ^ [_58471, _58473] : [in(_58473, _58471), in(_58471, _58473)], (146 ^ _53889) ^ [_58668] : [empty(_58668), -(function(_58668))], (152 ^ _53889) ^ [_58854] : [empty(_58854), -(relation(_58854))], (158 ^ _53889) ^ [_59040] : [169 ^ _53889 : [(170 ^ _53889) ^ [] : [-(relation(_59040))], (172 ^ _53889) ^ [] : [-(function(_59040))], (174 ^ _53889) ^ [] : [-(one_to_one(_59040))]], relation(_59040), empty(_59040), function(_59040)], (186 ^ _53889) ^ [_59890, _59892] : [188 ^ _53889 : [(189 ^ _53889) ^ [] : [-(in(187 ^ [_59890, _59892], _59892))], (191 ^ _53889) ^ [] : [in(187 ^ [_59890, _59892], _59890)]], -(subset(_59892, _59890))], (176 ^ _53889) ^ [_59576, _59578] : [subset(_59578, _59576), 179 ^ _53889 : [(180 ^ _53889) ^ [_59713] : [in(_59713, _59578), -(in(_59713, _59576))]]], (196 ^ _53889) ^ [_60257] : [-(element(194 ^ [_60257], _60257))], (198 ^ _53889) ^ [] : [-(empty(empty_set))], (200 ^ _53889) ^ [] : [-(relation(empty_set))], (202 ^ _53889) ^ [] : [-(relation_empty_yielding(empty_set))], (204 ^ _53889) ^ [_60502] : [empty(powerset(_60502))], (206 ^ _53889) ^ [] : [-(empty(empty_set))], (208 ^ _53889) ^ [_60633] : [empty(singleton(_60633))], (210 ^ _53889) ^ [] : [-(empty(empty_set))], (212 ^ _53889) ^ [] : [-(relation(empty_set))], (214 ^ _53889) ^ [_60835] : [empty(relation_rng(_60835)), -(empty(_60835)), relation(_60835)], (224 ^ _53889) ^ [_61112] : [empty(_61112), 227 ^ _53889 : [(228 ^ _53889) ^ [] : [-(empty(relation_rng(_61112)))], (230 ^ _53889) ^ [] : [-(relation(relation_rng(_61112)))]]], (233 ^ _53889) ^ [] : [-(relation(231 ^ []))], (235 ^ _53889) ^ [] : [-(function(231 ^ []))], (238 ^ _53889) ^ [] : [-(empty(236 ^ []))], (240 ^ _53889) ^ [] : [-(relation(236 ^ []))], (242 ^ _53889) ^ [_61675] : [-(empty(_61675)), 246 ^ _53889 : [(247 ^ _53889) ^ [] : [-(element(245 ^ [_61675], powerset(_61675)))], (249 ^ _53889) ^ [] : [empty(245 ^ [_61675])]]], (252 ^ _53889) ^ [] : [-(empty(250 ^ []))], (255 ^ _53889) ^ [] : [-(relation(253 ^ []))], (257 ^ _53889) ^ [] : [-(empty(253 ^ []))], (259 ^ _53889) ^ [] : [-(function(253 ^ []))], (262 ^ _53889) ^ [] : [empty(260 ^ [])], (264 ^ _53889) ^ [] : [-(relation(260 ^ []))], (267 ^ _53889) ^ [_62506] : [-(element(265 ^ [_62506], powerset(_62506)))], (269 ^ _53889) ^ [_62557] : [-(empty(265 ^ [_62557]))], (272 ^ _53889) ^ [] : [empty(270 ^ [])], (275 ^ _53889) ^ [] : [-(relation(273 ^ []))], (277 ^ _53889) ^ [] : [-(function(273 ^ []))], (279 ^ _53889) ^ [] : [-(one_to_one(273 ^ []))], (282 ^ _53889) ^ [] : [-(relation(280 ^ []))], (284 ^ _53889) ^ [] : [-(relation_empty_yielding(280 ^ []))], (286 ^ _53889) ^ [_63103, _63105] : [-(subset(_63105, _63105))], (288 ^ _53889) ^ [_63212, _63214] : [relation(_63212), 291 ^ _53889 : [(292 ^ _53889) ^ [] : [in(_63214, relation_rng(_63212)), relation_inverse_image(_63212, singleton(_63214)) = empty_set], (298 ^ _53889) ^ [] : [-(relation_inverse_image(_63212, singleton(_63214)) = empty_set), -(in(_63214, relation_rng(_63212)))]]], (304 ^ _53889) ^ [_63693, _63695] : [in(_63695, _63693), -(element(_63695, _63693))], (310 ^ _53889) ^ [_63903, _63905] : [element(_63905, _63903), -(empty(_63903)), -(in(_63905, _63903))], (320 ^ _53889) ^ [_64230, _64232] : [element(_64232, powerset(_64230)), -(subset(_64232, _64230))], (326 ^ _53889) ^ [_64396, _64398] : [subset(_64398, _64396), -(element(_64398, powerset(_64396)))], (332 ^ _53889) ^ [_64626, _64628, _64630] : [-(element(_64630, _64626)), in(_64630, _64628), element(_64628, powerset(_64626))], (342 ^ _53889) ^ [_64953, _64955, _64957] : [in(_64957, _64955), element(_64955, powerset(_64953)), empty(_64953)], (352 ^ _53889) ^ [_65249] : [empty(_65249), -(_65249 = empty_set)], (358 ^ _53889) ^ [_65451, _65453] : [in(_65453, _65451), empty(_65451)], (364 ^ _53889) ^ [_65638, _65640] : [empty(_65640), -(_65640 = _65638), empty(_65638)]], input).
% 0.31/1.39 ncf('1',plain,[in(187 ^ [relation_rng(374 ^ []), 373 ^ []], 373 ^ []), relation_inverse_image(374 ^ [], singleton(187 ^ [relation_rng(374 ^ []), 373 ^ []])) = empty_set],start(378 ^ 0,bind([[_66269], [187 ^ [relation_rng(374 ^ []), 373 ^ []]]]))).
% 0.31/1.39 ncf('1.1',plain,[-(in(187 ^ [relation_rng(374 ^ []), 373 ^ []], 373 ^ [])), in(187 ^ [relation_rng(374 ^ []), 373 ^ []], 373 ^ []), 187 ^ [relation_rng(374 ^ []), 373 ^ []] = 187 ^ [relation_rng(374 ^ []), 373 ^ []], 373 ^ [] = 373 ^ []],extension(84 ^ 1,bind([[_56604, _56606, _56608, _56610], [373 ^ [], 373 ^ [], 187 ^ [relation_rng(374 ^ []), 373 ^ []], 187 ^ [relation_rng(374 ^ []), 373 ^ []]]]))).
% 0.31/1.39 ncf('1.1.1',plain,[-(in(187 ^ [relation_rng(374 ^ []), 373 ^ []], 373 ^ [])), -(subset(373 ^ [], relation_rng(374 ^ [])))],extension(186 ^ 2,bind([[_59890, _59892], [relation_rng(374 ^ []), 373 ^ []]]))).
% 0.31/1.39 ncf('1.1.1.1',plain,[subset(373 ^ [], relation_rng(374 ^ []))],extension(384 ^ 3)).
% 0.31/1.39 ncf('1.1.2',plain,[-(187 ^ [relation_rng(374 ^ []), 373 ^ []] = 187 ^ [relation_rng(374 ^ []), 373 ^ []])],extension(2 ^ 2,bind([[_54033], [187 ^ [relation_rng(374 ^ []), 373 ^ []]]]))).
% 0.31/1.39 ncf('1.1.3',plain,[-(373 ^ [] = 373 ^ [])],extension(2 ^ 2,bind([[_54033], [373 ^ []]]))).
% 0.31/1.39 ncf('1.2',plain,[-(relation_inverse_image(374 ^ [], singleton(187 ^ [relation_rng(374 ^ []), 373 ^ []])) = empty_set), 298 : -(in(187 ^ [relation_rng(374 ^ []), 373 ^ []], relation_rng(374 ^ []))), 298 : relation(374 ^ [])],extension(288 ^ 1,bind([[_63212, _63214], [374 ^ [], 187 ^ [relation_rng(374 ^ []), 373 ^ []]]]))).
% 0.31/1.39 ncf('1.2.1',plain,[in(187 ^ [relation_rng(374 ^ []), 373 ^ []], relation_rng(374 ^ [])), -(subset(373 ^ [], relation_rng(374 ^ [])))],extension(186 ^ 4,bind([[_59890, _59892], [relation_rng(374 ^ []), 373 ^ []]]))).
% 0.31/1.39 ncf('1.2.1.1',plain,[subset(373 ^ [], relation_rng(374 ^ []))],extension(384 ^ 5)).
% 0.31/1.39 ncf('1.2.2',plain,[-(relation(374 ^ []))],extension(376 ^ 2)).
% 0.31/1.39 %-----------------------------------------------------
% 0.31/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------