TSTP Solution File: SET015+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET015+4 : TPTP v8.1.2. Released v2.2.0.
% 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 11:55:04 EDT 2023
% Result : Theorem 1.58s 2.41s
% Output : Proof 1.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET015+4 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.13 % 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 18:27:15 EDT 2023
% 0.13/0.34 % CPUTime :
% 1.58/2.41
% 1.58/2.41 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.58/2.41 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.58/2.41 %-----------------------------------------------------
% 1.58/2.41 ncf(matrix, plain, [(301 ^ _42115) ^ [] : [equal_set(union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ []))], (2 ^ _42115) ^ [_42259] : [-(_42259 = _42259)], (4 ^ _42115) ^ [_42366, _42368] : [_42368 = _42366, -(_42366 = _42368)], (10 ^ _42115) ^ [_42570, _42572, _42574] : [-(_42574 = _42570), _42574 = _42572, _42572 = _42570], (20 ^ _42115) ^ [_42911, _42913, _42915, _42917] : [-(subset(_42915, _42911)), subset(_42917, _42913), _42917 = _42915, _42913 = _42911], (34 ^ _42115) ^ [_43355, _43357, _43359, _43361] : [-(member(_43359, _43355)), member(_43361, _43357), _43361 = _43359, _43357 = _43355], (48 ^ _42115) ^ [_43779, _43781, _43783, _43785] : [-(equal_set(_43783, _43779)), equal_set(_43785, _43781), _43785 = _43783, _43781 = _43779], (62 ^ _42115) ^ [_44205, _44207] : [_44207 = _44205, -(power_set(_44207) = power_set(_44205))], (68 ^ _42115) ^ [_44451, _44453, _44455, _44457] : [-(intersection(_44457, _44453) = intersection(_44455, _44451)), _44457 = _44455, _44453 = _44451], (78 ^ _42115) ^ [_44810, _44812, _44814, _44816] : [-(difference(_44816, _44812) = difference(_44814, _44810)), _44816 = _44814, _44812 = _44810], (88 ^ _42115) ^ [_45141, _45143] : [_45143 = _45141, -(singleton(_45143) = singleton(_45141))], (94 ^ _42115) ^ [_45387, _45389, _45391, _45393] : [-(unordered_pair(_45393, _45389) = unordered_pair(_45391, _45387)), _45393 = _45391, _45389 = _45387], (104 ^ _42115) ^ [_45718, _45720] : [_45720 = _45718, -(sum(_45720) = sum(_45718))], (110 ^ _42115) ^ [_45936, _45938] : [_45938 = _45936, -(product(_45938) = product(_45936))], (116 ^ _42115) ^ [_46162, _46164, _46166, _46168] : [-(union(_46168, _46164) = union(_46166, _46162)), _46168 = _46166, _46164 = _46162], (136 ^ _42115) ^ [_46862, _46864] : [138 ^ _42115 : [(139 ^ _42115) ^ [] : [-(member(137 ^ [_46862, _46864], _46864))], (141 ^ _42115) ^ [] : [member(137 ^ [_46862, _46864], _46862)]], -(subset(_46864, _46862))], (126 ^ _42115) ^ [_46548, _46550] : [subset(_46550, _46548), 129 ^ _42115 : [(130 ^ _42115) ^ [_46685] : [member(_46685, _46550), -(member(_46685, _46548))]]], (145 ^ _42115) ^ [_47248, _47250] : [equal_set(_47250, _47248), 148 ^ _42115 : [(149 ^ _42115) ^ [] : [-(subset(_47250, _47248))], (151 ^ _42115) ^ [] : [-(subset(_47248, _47250))]]], (153 ^ _42115) ^ [_47485, _47487] : [-(equal_set(_47487, _47485)), subset(_47487, _47485), subset(_47485, _47487)], (163 ^ _42115) ^ [_47815, _47817] : [member(_47817, power_set(_47815)), -(subset(_47817, _47815))], (169 ^ _42115) ^ [_47981, _47983] : [subset(_47983, _47981), -(member(_47983, power_set(_47981)))], (175 ^ _42115) ^ [_48240, _48242, _48244] : [member(_48244, intersection(_48242, _48240)), 178 ^ _42115 : [(179 ^ _42115) ^ [] : [-(member(_48244, _48242))], (181 ^ _42115) ^ [] : [-(member(_48244, _48240))]]], (183 ^ _42115) ^ [_48491, _48493, _48495] : [-(member(_48495, intersection(_48493, _48491))), member(_48495, _48493), member(_48495, _48491)], (203 ^ _42115) ^ [_49119, _49121, _49123] : [204 ^ _42115 : [(205 ^ _42115) ^ [] : [member(_49123, _49121)], (207 ^ _42115) ^ [] : [member(_49123, _49119)]], -(member(_49123, union(_49121, _49119)))], (193 ^ _42115) ^ [_48851, _48853, _48855] : [member(_48855, union(_48853, _48851)), -(member(_48855, _48853)), -(member(_48855, _48851))], (211 ^ _42115) ^ [_49389] : [member(_49389, empty_set)], (213 ^ _42115) ^ [_49539, _49541, _49543] : [member(_49543, difference(_49539, _49541)), 216 ^ _42115 : [(217 ^ _42115) ^ [] : [-(member(_49543, _49539))], (219 ^ _42115) ^ [] : [member(_49543, _49541)]]], (221 ^ _42115) ^ [_49791, _49793, _49795] : [-(member(_49795, difference(_49791, _49793))), member(_49795, _49791), -(member(_49795, _49793))], (231 ^ _42115) ^ [_50140, _50142] : [member(_50142, singleton(_50140)), -(_50142 = _50140)], (237 ^ _42115) ^ [_50306, _50308] : [_50308 = _50306, -(member(_50308, singleton(_50306)))], (253 ^ _42115) ^ [_50833, _50835, _50837] : [254 ^ _42115 : [(255 ^ _42115) ^ [] : [_50837 = _50835], (257 ^ _42115) ^ [] : [_50837 = _50833]], -(member(_50837, unordered_pair(_50835, _50833)))], (243 ^ _42115) ^ [_50565, _50567, _50569] : [member(_50569, unordered_pair(_50567, _50565)), -(_50569 = _50567), -(_50569 = _50565)], (261 ^ _42115) ^ [_51162, _51164] : [member(_51164, sum(_51162)), 265 ^ _42115 : [(266 ^ _42115) ^ [] : [-(member(264 ^ [_51162, _51164], _51162))], (268 ^ _42115) ^ [] : [-(member(_51164, 264 ^ [_51162, _51164]))]]], (270 ^ _42115) ^ [_51473, _51475] : [-(member(_51475, sum(_51473))), 271 ^ _42115 : [(272 ^ _42115) ^ [_51567] : [member(_51567, _51473), member(_51475, _51567)]]], (290 ^ _42115) ^ [_52168, _52170] : [292 ^ _42115 : [(293 ^ _42115) ^ [] : [-(member(291 ^ [_52168, _52170], _52168))], (295 ^ _42115) ^ [] : [member(_52170, 291 ^ [_52168, _52170])]], -(member(_52170, product(_52168)))], (280 ^ _42115) ^ [_51850, _51852] : [member(_51852, product(_51850)), 283 ^ _42115 : [(284 ^ _42115) ^ [_51991] : [member(_51991, _51850), -(member(_51852, _51991))]]]], input).
% 1.58/2.41 ncf('1',plain,[equal_set(union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ []))],start(301 ^ 0)).
% 1.58/2.41 ncf('1.1',plain,[-(equal_set(union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ []))), subset(union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])), subset(union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ []))],extension(153 ^ 1,bind([[_47485, _47487], [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])]]))).
% 1.58/2.41 ncf('1.1.1',plain,[-(subset(union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ []))), 139 : -(member(137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])], union(298 ^ [], 299 ^ [])))],extension(136 ^ 2,bind([[_46862, _46864], [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])]]))).
% 1.58/2.41 ncf('1.1.1.1',plain,[member(137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])], union(298 ^ [], 299 ^ [])), -(member(137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])], 298 ^ [])), -(member(137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])], 299 ^ []))],extension(193 ^ 5,bind([[_48851, _48853, _48855], [299 ^ [], 298 ^ [], 137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])]]]))).
% 1.58/2.41 ncf('1.1.1.1.1',plain,[member(137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])], 298 ^ []), -(member(137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])], union(299 ^ [], 298 ^ [])))],extension(203 ^ 6,bind([[_49119, _49121, _49123], [298 ^ [], 299 ^ [], 137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])]]]))).
% 1.58/2.41 ncf('1.1.1.1.1.1',plain,[member(137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])], union(299 ^ [], 298 ^ []))],extension(141 ^ 7)).
% 1.58/2.41 ncf('1.1.1.1.2',plain,[member(137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])], 299 ^ []), -(member(137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])], union(299 ^ [], 298 ^ [])))],extension(203 ^ 6,bind([[_49119, _49121, _49123], [298 ^ [], 299 ^ [], 137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])]]]))).
% 1.58/2.41 ncf('1.1.1.1.2.1',plain,[member(137 ^ [union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ [])], union(299 ^ [], 298 ^ []))],extension(141 ^ 7)).
% 1.58/2.41 ncf('1.1.2',plain,[-(subset(union(299 ^ [], 298 ^ []), union(298 ^ [], 299 ^ []))), 139 : -(member(137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])], union(299 ^ [], 298 ^ [])))],extension(136 ^ 2,bind([[_46862, _46864], [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])]]))).
% 1.58/2.41 ncf('1.1.2.1',plain,[member(137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])], union(299 ^ [], 298 ^ [])), -(member(137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])], 299 ^ [])), -(member(137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])], 298 ^ []))],extension(193 ^ 5,bind([[_48851, _48853, _48855], [298 ^ [], 299 ^ [], 137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])]]]))).
% 1.58/2.41 ncf('1.1.2.1.1',plain,[member(137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])], 299 ^ []), -(member(137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])], union(298 ^ [], 299 ^ [])))],extension(203 ^ 6,bind([[_49119, _49121, _49123], [299 ^ [], 298 ^ [], 137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])]]]))).
% 1.58/2.41 ncf('1.1.2.1.1.1',plain,[member(137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])], union(298 ^ [], 299 ^ []))],extension(141 ^ 7)).
% 1.58/2.41 ncf('1.1.2.1.2',plain,[member(137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])], 298 ^ []), -(member(137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])], union(298 ^ [], 299 ^ [])))],extension(203 ^ 6,bind([[_49119, _49121, _49123], [299 ^ [], 298 ^ [], 137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])]]]))).
% 1.58/2.41 ncf('1.1.2.1.2.1',plain,[member(137 ^ [union(298 ^ [], 299 ^ []), union(299 ^ [], 298 ^ [])], union(298 ^ [], 299 ^ []))],extension(141 ^ 7)).
% 1.58/2.41 %-----------------------------------------------------
% 1.58/2.41 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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