TSTP Solution File: SEU199+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU199+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 12:02:37 EDT 2023
% Result : Theorem 0.36s 1.37s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU199+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.14/0.33 % Computer : n006.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Thu May 18 12:35:51 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.36/1.37
% 0.36/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 ncf(matrix, plain, [(383 ^ _55169) ^ [] : [-(relation(381 ^ []))], (385 ^ _55169) ^ [] : [subset(relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ [])], (82 ^ _55169) ^ [_57881, _57883, _57885, _57887] : [-(ordered_pair(_57887, _57883) = ordered_pair(_57885, _57881)), _57887 = _57885, _57883 = _57881], (92 ^ _55169) ^ [_58212, _58214] : [_58214 = _58212, -(singleton(_58214) = singleton(_58212))], (98 ^ _55169) ^ [_58458, _58460, _58462, _58464] : [-(unordered_pair(_58464, _58460) = unordered_pair(_58462, _58458)), _58464 = _58462, _58460 = _58458], (108 ^ _55169) ^ [_58789, _58791] : [_58791 = _58789, -(powerset(_58791) = powerset(_58789))], (114 ^ _55169) ^ [_59015, _59017, _59019, _59021] : [-(relation_rng_restriction(_59021, _59017) = relation_rng_restriction(_59019, _59015)), _59021 = _59019, _59017 = _59015], (2 ^ _55169) ^ [_55313] : [-(_55313 = _55313)], (4 ^ _55169) ^ [_55420, _55422] : [_55422 = _55420, -(_55420 = _55422)], (10 ^ _55169) ^ [_55624, _55626, _55628] : [-(_55628 = _55624), _55628 = _55626, _55626 = _55624], (20 ^ _55169) ^ [_55965, _55967, _55969, _55971] : [-(element(_55969, _55965)), element(_55971, _55967), _55971 = _55969, _55967 = _55965], (34 ^ _55169) ^ [_56409, _56411, _56413, _56415] : [-(in(_56413, _56409)), in(_56415, _56411), _56415 = _56413, _56411 = _56409], (48 ^ _55169) ^ [_56825, _56827] : [-(empty(_56825)), _56827 = _56825, empty(_56827)], (58 ^ _55169) ^ [_57120, _57122] : [-(relation(_57120)), _57122 = _57120, relation(_57122)], (68 ^ _55169) ^ [_57423, _57425, _57427, _57429] : [-(subset(_57427, _57423)), subset(_57429, _57425), _57429 = _57427, _57425 = _57423], (124 ^ _55169) ^ [_59364, _59366] : [in(_59366, _59364), in(_59364, _59366)], (130 ^ _55169) ^ [_59561] : [empty(_59561), -(relation(_59561))], (136 ^ _55169) ^ [_59746, _59748] : [-(unordered_pair(_59748, _59746) = unordered_pair(_59746, _59748))], (138 ^ _55169) ^ [_59861, _59863] : [relation(_59861), 141 ^ _55169 : [(142 ^ _55169) ^ [_60032] : [relation(_60032), 145 ^ _55169 : [(168 ^ _55169) ^ [] : [-(_60032 = relation_rng_restriction(_59863, _59861)), 181 ^ _55169 : [(182 ^ _55169) ^ [] : [-(in(170 ^ [_59861, _59863, _60032], _59863))], (184 ^ _55169) ^ [] : [-(in(ordered_pair(169 ^ [_59861, _59863, _60032], 170 ^ [_59861, _59863, _60032]), _59861))], (186 ^ _55169) ^ [] : [in(ordered_pair(169 ^ [_59861, _59863, _60032], 170 ^ [_59861, _59863, _60032]), _60032)]], 173 ^ _55169 : [(174 ^ _55169) ^ [] : [-(in(ordered_pair(169 ^ [_59861, _59863, _60032], 170 ^ [_59861, _59863, _60032]), _60032))], (176 ^ _55169) ^ [] : [in(170 ^ [_59861, _59863, _60032], _59863), in(ordered_pair(169 ^ [_59861, _59863, _60032], 170 ^ [_59861, _59863, _60032]), _59861)]]], (146 ^ _55169) ^ [] : [_60032 = relation_rng_restriction(_59863, _59861), 149 ^ _55169 : [(150 ^ _55169) ^ [_60359, _60361] : [in(ordered_pair(_60361, _60359), _60032), 153 ^ _55169 : [(154 ^ _55169) ^ [] : [-(in(_60359, _59863))], (156 ^ _55169) ^ [] : [-(in(ordered_pair(_60361, _60359), _59861))]]], (158 ^ _55169) ^ [_60638, _60640] : [-(in(ordered_pair(_60640, _60638), _60032)), in(_60638, _59863), in(ordered_pair(_60640, _60638), _59861)]]]]]]], (190 ^ _55169) ^ [_61784] : [relation(_61784), 193 ^ _55169 : [(194 ^ _55169) ^ [_61942] : [relation(_61942), 197 ^ _55169 : [(208 ^ _55169) ^ [] : [211 ^ _55169 : [(212 ^ _55169) ^ [] : [-(in(ordered_pair(209 ^ [_61784, _61942], 210 ^ [_61784, _61942]), _61784))], (214 ^ _55169) ^ [] : [in(ordered_pair(209 ^ [_61784, _61942], 210 ^ [_61784, _61942]), _61942)]], -(subset(_61784, _61942))], (198 ^ _55169) ^ [] : [subset(_61784, _61942), 201 ^ _55169 : [(202 ^ _55169) ^ [_62218, _62220] : [in(ordered_pair(_62220, _62218), _61784), -(in(ordered_pair(_62220, _62218), _61942))]]]]]]], (218 ^ _55169) ^ [_62823, _62825] : [-(ordered_pair(_62825, _62823) = unordered_pair(unordered_pair(_62825, _62823), singleton(_62825)))], (220 ^ _55169) ^ [] : [true___, -(true___)], (226 ^ _55169) ^ [] : [true___, -(true___)], (232 ^ _55169) ^ [] : [true___, -(true___)], (238 ^ _55169) ^ [] : [true___, -(true___)], (244 ^ _55169) ^ [] : [true___, -(true___)], (250 ^ _55169) ^ [_63538, _63540] : [relation(_63538), -(relation(relation_rng_restriction(_63540, _63538)))], (256 ^ _55169) ^ [] : [true___, -(true___)], (263 ^ _55169) ^ [_63879] : [-(element(261 ^ [_63879], _63879))], (265 ^ _55169) ^ [_63961] : [empty(powerset(_63961))], (267 ^ _55169) ^ [] : [-(empty(empty_set))], (269 ^ _55169) ^ [_64106, _64108] : [empty(ordered_pair(_64108, _64106))], (271 ^ _55169) ^ [_64187] : [empty(singleton(_64187))], (273 ^ _55169) ^ [_64279, _64281] : [empty(unordered_pair(_64281, _64279))], (275 ^ _55169) ^ [] : [-(empty(empty_set))], (277 ^ _55169) ^ [] : [-(relation(empty_set))], (280 ^ _55169) ^ [] : [-(empty(278 ^ []))], (282 ^ _55169) ^ [] : [-(relation(278 ^ []))], (284 ^ _55169) ^ [_64633] : [-(empty(_64633)), 288 ^ _55169 : [(289 ^ _55169) ^ [] : [-(element(287 ^ [_64633], powerset(_64633)))], (291 ^ _55169) ^ [] : [empty(287 ^ [_64633])]]], (294 ^ _55169) ^ [] : [-(empty(292 ^ []))], (297 ^ _55169) ^ [] : [empty(295 ^ [])], (299 ^ _55169) ^ [] : [-(relation(295 ^ []))], (302 ^ _55169) ^ [_65255] : [-(element(300 ^ [_65255], powerset(_65255)))], (304 ^ _55169) ^ [_65306] : [-(empty(300 ^ [_65306]))], (307 ^ _55169) ^ [] : [empty(305 ^ [])], (309 ^ _55169) ^ [_65494, _65496] : [-(subset(_65496, _65496))], (311 ^ _55169) ^ [_65603, _65605] : [in(_65605, _65603), -(element(_65605, _65603))], (317 ^ _55169) ^ [_65813, _65815] : [element(_65815, _65813), -(empty(_65813)), -(in(_65815, _65813))], (327 ^ _55169) ^ [_66140, _66142] : [element(_66142, powerset(_66140)), -(subset(_66142, _66140))], (333 ^ _55169) ^ [_66306, _66308] : [subset(_66308, _66306), -(element(_66308, powerset(_66306)))], (339 ^ _55169) ^ [_66536, _66538, _66540] : [-(element(_66540, _66536)), in(_66540, _66538), element(_66538, powerset(_66536))], (349 ^ _55169) ^ [_66863, _66865, _66867] : [in(_66867, _66865), element(_66865, powerset(_66863)), empty(_66863)], (359 ^ _55169) ^ [_67159] : [empty(_67159), -(_67159 = empty_set)], (365 ^ _55169) ^ [_67361, _67363] : [in(_67363, _67361), empty(_67361)], (371 ^ _55169) ^ [_67548, _67550] : [empty(_67550), -(_67550 = _67548), empty(_67548)]], input).
% 0.36/1.37 ncf('1',plain,[subset(relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ [])],start(385 ^ 0)).
% 0.36/1.37 ncf('1.1',plain,[-(subset(relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ [])), 214 : in(ordered_pair(209 ^ [relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ []], 210 ^ [relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ []]), 381 ^ []), 208 : relation(381 ^ []), 194 : relation(relation_rng_restriction(380 ^ [], 381 ^ []))],extension(190 ^ 1,bind([[_61784, _61942], [relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ []]]))).
% 0.36/1.37 ncf('1.1.1',plain,[-(in(ordered_pair(209 ^ [relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ []], 210 ^ [relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ []]), 381 ^ [])), 150 : in(ordered_pair(209 ^ [relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ []], 210 ^ [relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ []]), relation_rng_restriction(380 ^ [], 381 ^ [])), 150 : relation_rng_restriction(380 ^ [], 381 ^ []) = relation_rng_restriction(380 ^ [], 381 ^ []), 146 : relation(relation_rng_restriction(380 ^ [], 381 ^ [])), 142 : relation(381 ^ [])],extension(138 ^ 8,bind([[_59861, _59863, _60032, _60359, _60361], [381 ^ [], 380 ^ [], relation_rng_restriction(380 ^ [], 381 ^ []), 210 ^ [relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ []], 209 ^ [relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ []]]]))).
% 0.36/1.37 ncf('1.1.1.1',plain,[-(in(ordered_pair(209 ^ [relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ []], 210 ^ [relation_rng_restriction(380 ^ [], 381 ^ []), 381 ^ []]), relation_rng_restriction(380 ^ [], 381 ^ [])))],extension(212 ^ 15)).
% 0.36/1.37 ncf('1.1.1.2',plain,[-(relation_rng_restriction(380 ^ [], 381 ^ []) = relation_rng_restriction(380 ^ [], 381 ^ []))],extension(2 ^ 13,bind([[_55313], [relation_rng_restriction(380 ^ [], 381 ^ [])]]))).
% 0.36/1.37 ncf('1.1.1.3',plain,[-(relation(relation_rng_restriction(380 ^ [], 381 ^ []))), relation(381 ^ [])],extension(250 ^ 11,bind([[_63538, _63540], [381 ^ [], 380 ^ []]]))).
% 0.36/1.37 ncf('1.1.1.3.1',plain,[-(relation(381 ^ []))],extension(383 ^ 12)).
% 0.36/1.37 ncf('1.1.1.4',plain,[-(relation(381 ^ []))],extension(383 ^ 9)).
% 0.36/1.37 ncf('1.1.2',plain,[-(relation(381 ^ []))],extension(383 ^ 4)).
% 0.36/1.37 ncf('1.1.3',plain,[-(relation(relation_rng_restriction(380 ^ [], 381 ^ []))), relation(381 ^ [])],extension(250 ^ 2,bind([[_63538, _63540], [381 ^ [], 380 ^ []]]))).
% 0.36/1.37 ncf('1.1.3.1',plain,[-(relation(381 ^ []))],extension(383 ^ 3)).
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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