TSTP Solution File: SEU281+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU281+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 12:02:59 EDT 2023
% Result : Theorem 43.78s 42.73s
% Output : Proof 43.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU281+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 12:09:15 EDT 2023
% 0.13/0.34 % CPUTime :
% 43.78/42.73
% 43.78/42.73 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.78/42.73 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.78/42.73 %-----------------------------------------------------
% 43.78/42.73 ncf(matrix, plain, [(262 ^ _69339) ^ [_69384] : [279 ^ _69339 : [(280 ^ _69339) ^ [] : [-(in(260 ^ [_69384], cartesian_product2(258 ^ [], 259 ^ [])))], (286 ^ _69339) ^ [] : [-(in(281 ^ [_69384], 258 ^ []))], (290 ^ _69339) ^ [] : [in(260 ^ [_69384], _69384)], (288 ^ _69339) ^ [] : [-(282 ^ [_69384] = singleton(281 ^ [_69384]))], (284 ^ _69339) ^ [] : [-(ordered_pair(281 ^ [_69384], 282 ^ [_69384]) = 260 ^ [_69384])]], 263 ^ _69339 : [(266 ^ _69339) ^ [] : [in(260 ^ [_69384], cartesian_product2(258 ^ [], 259 ^ [])), 269 ^ _69339 : [(270 ^ _69339) ^ [_69734, _69736] : [ordered_pair(_69736, _69734) = 260 ^ [_69384], in(_69736, 258 ^ []), _69734 = singleton(_69736)]]], (264 ^ _69339) ^ [] : [-(in(260 ^ [_69384], _69384))]]], !, (192 ^ _59578) ^ [_65507, _65509] : [196 ^ _59578 : [(207 ^ _59578) ^ [] : [-(193 ^ [_65507, _65509] = 195 ^ [_65507, _65509])], (197 ^ _59578) ^ [] : [-(193 ^ [_65507, _65509] = 194 ^ [_65507, _65509])], (201 ^ _59578) ^ [] : [-(ordered_pair(198 ^ [_65507, _65509], 199 ^ [_65507, _65509]) = 194 ^ [_65507, _65509])], (213 ^ _59578) ^ [] : [-(in(208 ^ [_65507, _65509], _65509))], (211 ^ _59578) ^ [] : [-(ordered_pair(208 ^ [_65507, _65509], 209 ^ [_65507, _65509]) = 195 ^ [_65507, _65509])], (217 ^ _59578) ^ [] : [194 ^ [_65507, _65509] = 195 ^ [_65507, _65509]], (205 ^ _59578) ^ [] : [-(199 ^ [_65507, _65509] = singleton(198 ^ [_65507, _65509]))], (215 ^ _59578) ^ [] : [-(209 ^ [_65507, _65509] = singleton(208 ^ [_65507, _65509]))], (203 ^ _59578) ^ [] : [-(in(198 ^ [_65507, _65509], _65509))]], 219 ^ _59578 : [(237 ^ _59578) ^ [_68220] : [-(in(_68220, 218 ^ [_65507, _65509])), 238 ^ _59578 : [(239 ^ _59578) ^ [_68361] : [in(_68361, cartesian_product2(_65509, _65507)), _68361 = _68220, 246 ^ _59578 : [(247 ^ _59578) ^ [_68641, _68643] : [ordered_pair(_68643, _68641) = _68220, in(_68643, _65509), _68641 = singleton(_68643)]]]]], (220 ^ _59578) ^ [_67380] : [in(_67380, 218 ^ [_65507, _65509]), 224 ^ _59578 : [(225 ^ _59578) ^ [] : [-(in(223 ^ [_65507, _65509, _67380], cartesian_product2(_65509, _65507)))], (231 ^ _59578) ^ [] : [-(ordered_pair(228 ^ [_65507, _65509, _67380], 229 ^ [_65507, _65509, _67380]) = _67380)], (235 ^ _59578) ^ [] : [-(229 ^ [_65507, _65509, _67380] = singleton(228 ^ [_65507, _65509, _67380]))], (233 ^ _59578) ^ [] : [-(in(228 ^ [_65507, _65509, _67380], _65509))], (227 ^ _59578) ^ [] : [-(223 ^ [_65507, _65509, _67380] = _67380)]]]]], (150 ^ _59578) ^ [_64344] : [empty(_64344), 153 ^ _59578 : [(158 ^ _59578) ^ [] : [-(ordinal(_64344))], (156 ^ _59578) ^ [] : [-(epsilon_connected(_64344))], (154 ^ _59578) ^ [] : [-(epsilon_transitive(_64344))]]], (131 ^ _59578) ^ [] : [-(epsilon_connected(127 ^ []))], (110 ^ _59578) ^ [_63153] : [ordinal(_63153), 113 ^ _59578 : [(116 ^ _59578) ^ [] : [-(epsilon_connected(_63153))], (114 ^ _59578) ^ [] : [-(epsilon_transitive(_63153))]]], (140 ^ _59578) ^ [] : [-(epsilon_connected(134 ^ []))], (4 ^ _59578) ^ [_59809, _59811] : [_59811 = _59809, -(_59809 = _59811)], (70 ^ _59578) ^ [_61809, _61811, _61813, _61815] : [-(in(_61813, _61809)), in(_61815, _61811), _61815 = _61813, _61811 = _61809], (166 ^ _59578) ^ [_64864, _64866] : [in(_64866, _64864), in(_64864, _64866)], (2 ^ _59578) ^ [_59702] : [-(_59702 = _59702)], (104 ^ _59578) ^ [_62939, _62941] : [_62941 = _62939, -(singleton(_62941) = singleton(_62939))], (60 ^ _59578) ^ [_61506, _61508] : [-(empty(_61506)), _61508 = _61506, empty(_61508)], (178 ^ _59578) ^ [] : [true___, -(true___)], (94 ^ _59578) ^ [_62628, _62630, _62632, _62634] : [-(ordered_pair(_62634, _62630) = ordered_pair(_62632, _62628)), _62634 = _62632, _62630 = _62628], (20 ^ _59578) ^ [_60326, _60328] : [-(function(_60326)), _60328 = _60326, function(_60328)], (190 ^ _59578) ^ [_65416, _65418] : [empty(ordered_pair(_65418, _65416))], (184 ^ _59578) ^ [] : [true___, -(true___)], (172 ^ _59578) ^ [] : [true___, -(true___)], (129 ^ _59578) ^ [] : [-(epsilon_transitive(127 ^ []))], (133 ^ _59578) ^ [] : [-(ordinal(127 ^ []))], (118 ^ _59578) ^ [_63410] : [-(ordinal(_63410)), epsilon_transitive(_63410), epsilon_connected(_63410)], (161 ^ _59578) ^ [] : [-(empty(159 ^ []))], (50 ^ _59578) ^ [_61211, _61213] : [-(ordinal(_61211)), _61213 = _61211, ordinal(_61213)], (138 ^ _59578) ^ [] : [-(epsilon_transitive(134 ^ []))], (30 ^ _59578) ^ [_60621, _60623] : [-(epsilon_transitive(_60621)), _60623 = _60621, epsilon_transitive(_60623)], (10 ^ _59578) ^ [_60013, _60015, _60017] : [-(_60017 = _60013), _60017 = _60015, _60015 = _60013], (84 ^ _59578) ^ [_62269, _62271, _62273, _62275] : [-(cartesian_product2(_62275, _62271) = cartesian_product2(_62273, _62269)), _62275 = _62273, _62271 = _62269], (40 ^ _59578) ^ [_60916, _60918] : [-(epsilon_connected(_60916)), _60918 = _60916, epsilon_connected(_60918)], (144 ^ _59578) ^ [_64158] : [empty(_64158), -(function(_64158))], (164 ^ _59578) ^ [] : [empty(162 ^ [])], (136 ^ _59578) ^ [] : [empty(134 ^ [])], (142 ^ _59578) ^ [] : [-(ordinal(134 ^ []))]], input).
% 43.78/42.73 ncf('1',plain,[286 : -(in(281 ^ [218 ^ [259 ^ [], 258 ^ []]], 258 ^ [])), 264 : -(in(260 ^ [218 ^ [259 ^ [], 258 ^ []]], 218 ^ [259 ^ [], 258 ^ []]))],start(262 ^ 0,bind([[_69384], [218 ^ [259 ^ [], 258 ^ []]]]))).
% 43.78/42.73 ncf('1.1',plain,[in(281 ^ [218 ^ [259 ^ [], 258 ^ []]], 258 ^ []), 247 : ordered_pair(281 ^ [218 ^ [259 ^ [], 258 ^ []]], 282 ^ [218 ^ [259 ^ [], 258 ^ []]]) = 260 ^ [218 ^ [259 ^ [], 258 ^ []]], 247 : 282 ^ [218 ^ [259 ^ [], 258 ^ []]] = singleton(281 ^ [218 ^ [259 ^ [], 258 ^ []]]), 247 : in(260 ^ [218 ^ [259 ^ [], 258 ^ []]], cartesian_product2(258 ^ [], 259 ^ [])), 247 : 260 ^ [218 ^ [259 ^ [], 258 ^ []]] = 260 ^ [218 ^ [259 ^ [], 258 ^ []]], 239 : -(in(260 ^ [218 ^ [259 ^ [], 258 ^ []]], 218 ^ [259 ^ [], 258 ^ []])), 207 : -(193 ^ [259 ^ [], 258 ^ []] = 195 ^ [259 ^ [], 258 ^ []])],extension(192 ^ 3,bind([[_65507, _65509, _68220, _68361, _68641, _68643], [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]], 260 ^ [218 ^ [259 ^ [], 258 ^ []]], 282 ^ [218 ^ [259 ^ [], 258 ^ []]], 281 ^ [218 ^ [259 ^ [], 258 ^ []]]]]))).
% 43.78/42.73 ncf('1.1.1',plain,[-(ordered_pair(281 ^ [218 ^ [259 ^ [], 258 ^ []]], 282 ^ [218 ^ [259 ^ [], 258 ^ []]]) = 260 ^ [218 ^ [259 ^ [], 258 ^ []]])],extension(284 ^ 10)).
% 43.78/42.73 ncf('1.1.2',plain,[-(282 ^ [218 ^ [259 ^ [], 258 ^ []]] = singleton(281 ^ [218 ^ [259 ^ [], 258 ^ []]]))],extension(288 ^ 10)).
% 43.78/42.73 ncf('1.1.3',plain,[-(in(260 ^ [218 ^ [259 ^ [], 258 ^ []]], cartesian_product2(258 ^ [], 259 ^ [])))],extension(280 ^ 8)).
% 43.78/42.73 ncf('1.1.4',plain,[-(260 ^ [218 ^ [259 ^ [], 258 ^ []]] = 260 ^ [218 ^ [259 ^ [], 258 ^ []]])],extension(2 ^ 8,bind([[_59702], [260 ^ [218 ^ [259 ^ [], 258 ^ []]]]]))).
% 43.78/42.73 ncf('1.1.5',plain,[in(260 ^ [218 ^ [259 ^ [], 258 ^ []]], 218 ^ [259 ^ [], 258 ^ []])],extension(290 ^ 6)).
% 43.78/42.73 ncf('1.1.6',plain,[193 ^ [259 ^ [], 258 ^ []] = 195 ^ [259 ^ [], 258 ^ []], -(194 ^ [259 ^ [], 258 ^ []] = 195 ^ [259 ^ [], 258 ^ []]), 194 ^ [259 ^ [], 258 ^ []] = 193 ^ [259 ^ [], 258 ^ []]],extension(10 ^ 6,bind([[_60013, _60015, _60017], [195 ^ [259 ^ [], 258 ^ []], 193 ^ [259 ^ [], 258 ^ []], 194 ^ [259 ^ [], 258 ^ []]]]))).
% 43.78/42.73 ncf('1.1.6.1',plain,[194 ^ [259 ^ [], 258 ^ []] = 195 ^ [259 ^ [], 258 ^ []]],extension(217 ^ 7)).
% 43.78/42.73 ncf('1.1.6.2',plain,[-(194 ^ [259 ^ [], 258 ^ []] = 193 ^ [259 ^ [], 258 ^ []]), 193 ^ [259 ^ [], 258 ^ []] = 194 ^ [259 ^ [], 258 ^ []]],extension(4 ^ 7,bind([[_59809, _59811], [194 ^ [259 ^ [], 258 ^ []], 193 ^ [259 ^ [], 258 ^ []]]]))).
% 43.78/42.73 ncf('1.1.6.2.1',plain,[-(193 ^ [259 ^ [], 258 ^ []] = 194 ^ [259 ^ [], 258 ^ []])],extension(197 ^ 8)).
% 43.78/42.73 ncf('1.2',plain,[in(260 ^ [218 ^ [259 ^ [], 258 ^ []]], 218 ^ [259 ^ [], 258 ^ []]), 225 : -(in(223 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]], cartesian_product2(258 ^ [], 259 ^ []))), 207 : -(193 ^ [259 ^ [], 258 ^ []] = 195 ^ [259 ^ [], 258 ^ []])],extension(192 ^ 3,bind([[_65507, _65509, _67380], [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]]]))).
% 43.78/42.73 ncf('1.2.1',plain,[in(223 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]], cartesian_product2(258 ^ [], 259 ^ [])), -(in(260 ^ [218 ^ [259 ^ [], 258 ^ []]], cartesian_product2(258 ^ [], 259 ^ []))), 223 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]] = 260 ^ [218 ^ [259 ^ [], 258 ^ []]], cartesian_product2(258 ^ [], 259 ^ []) = cartesian_product2(258 ^ [], 259 ^ [])],extension(70 ^ 8,bind([[_61809, _61811, _61813, _61815], [cartesian_product2(258 ^ [], 259 ^ []), cartesian_product2(258 ^ [], 259 ^ []), 260 ^ [218 ^ [259 ^ [], 258 ^ []]], 223 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]]]]))).
% 43.78/42.73 ncf('1.2.1.1',plain,[in(260 ^ [218 ^ [259 ^ [], 258 ^ []]], cartesian_product2(258 ^ [], 259 ^ [])), 270 : ordered_pair(228 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]], 229 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]]) = 260 ^ [218 ^ [259 ^ [], 258 ^ []]], 270 : in(228 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]], 258 ^ []), 270 : 229 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]] = singleton(228 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]])],extension(266 ^ 9,bind([[_69734, _69736], [229 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]], 228 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]]]]))).
% 43.78/42.73 ncf('1.2.1.1.1',plain,[-(ordered_pair(228 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]], 229 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]]) = 260 ^ [218 ^ [259 ^ [], 258 ^ []]])],extension(231 ^ 12)).
% 43.78/42.73 ncf('1.2.1.1.2',plain,[-(in(228 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]], 258 ^ []))],extension(233 ^ 12)).
% 43.78/42.73 ncf('1.2.1.1.3',plain,[-(229 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]] = singleton(228 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]]))],extension(235 ^ 12)).
% 43.78/42.73 ncf('1.2.1.2',plain,[-(223 ^ [259 ^ [], 258 ^ [], 260 ^ [218 ^ [259 ^ [], 258 ^ []]]] = 260 ^ [218 ^ [259 ^ [], 258 ^ []]])],extension(227 ^ 9)).
% 43.78/42.73 ncf('1.2.1.3',plain,[-(cartesian_product2(258 ^ [], 259 ^ []) = cartesian_product2(258 ^ [], 259 ^ []))],extension(2 ^ 9,bind([[_59702], [cartesian_product2(258 ^ [], 259 ^ [])]]))).
% 43.78/42.73 ncf('1.2.2',plain,[193 ^ [259 ^ [], 258 ^ []] = 195 ^ [259 ^ [], 258 ^ []], -(194 ^ [259 ^ [], 258 ^ []] = 195 ^ [259 ^ [], 258 ^ []]), 194 ^ [259 ^ [], 258 ^ []] = 193 ^ [259 ^ [], 258 ^ []]],extension(10 ^ 6,bind([[_60013, _60015, _60017], [195 ^ [259 ^ [], 258 ^ []], 193 ^ [259 ^ [], 258 ^ []], 194 ^ [259 ^ [], 258 ^ []]]]))).
% 43.78/42.73 ncf('1.2.2.1',plain,[194 ^ [259 ^ [], 258 ^ []] = 195 ^ [259 ^ [], 258 ^ []]],extension(217 ^ 7)).
% 43.78/42.73 ncf('1.2.2.2',plain,[-(194 ^ [259 ^ [], 258 ^ []] = 193 ^ [259 ^ [], 258 ^ []]), 193 ^ [259 ^ [], 258 ^ []] = 194 ^ [259 ^ [], 258 ^ []]],extension(4 ^ 7,bind([[_59809, _59811], [194 ^ [259 ^ [], 258 ^ []], 193 ^ [259 ^ [], 258 ^ []]]]))).
% 43.78/42.73 ncf('1.2.2.2.1',plain,[-(193 ^ [259 ^ [], 258 ^ []] = 194 ^ [259 ^ [], 258 ^ []])],extension(197 ^ 8)).
% 43.78/42.73 %-----------------------------------------------------
% 43.78/42.73 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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