TSTP Solution File: SET347+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET347+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n007.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 11:55:45 EDT 2023
% Result : Theorem 0.50s 1.38s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET347+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 18 19:04:23 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.50/1.38
% 0.50/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.50/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/1.38 %-----------------------------------------------------
% 0.50/1.38 ncf(matrix, plain, [(299 ^ _39637) ^ [] : [equal_set(sum(empty_set), empty_set)], (2 ^ _39637) ^ [_39781] : [-(_39781 = _39781)], (4 ^ _39637) ^ [_39888, _39890] : [_39890 = _39888, -(_39888 = _39890)], (10 ^ _39637) ^ [_40092, _40094, _40096] : [-(_40096 = _40092), _40096 = _40094, _40094 = _40092], (20 ^ _39637) ^ [_40433, _40435, _40437, _40439] : [-(subset(_40437, _40433)), subset(_40439, _40435), _40439 = _40437, _40435 = _40433], (34 ^ _39637) ^ [_40877, _40879, _40881, _40883] : [-(member(_40881, _40877)), member(_40883, _40879), _40883 = _40881, _40879 = _40877], (48 ^ _39637) ^ [_41301, _41303, _41305, _41307] : [-(equal_set(_41305, _41301)), equal_set(_41307, _41303), _41307 = _41305, _41303 = _41301], (62 ^ _39637) ^ [_41727, _41729] : [_41729 = _41727, -(power_set(_41729) = power_set(_41727))], (68 ^ _39637) ^ [_41973, _41975, _41977, _41979] : [-(intersection(_41979, _41975) = intersection(_41977, _41973)), _41979 = _41977, _41975 = _41973], (78 ^ _39637) ^ [_42332, _42334, _42336, _42338] : [-(union(_42338, _42334) = union(_42336, _42332)), _42338 = _42336, _42334 = _42332], (88 ^ _39637) ^ [_42691, _42693, _42695, _42697] : [-(difference(_42697, _42693) = difference(_42695, _42691)), _42697 = _42695, _42693 = _42691], (98 ^ _39637) ^ [_43022, _43024] : [_43024 = _43022, -(singleton(_43024) = singleton(_43022))], (104 ^ _39637) ^ [_43268, _43270, _43272, _43274] : [-(unordered_pair(_43274, _43270) = unordered_pair(_43272, _43268)), _43274 = _43272, _43270 = _43268], (114 ^ _39637) ^ [_43599, _43601] : [_43601 = _43599, -(product(_43601) = product(_43599))], (120 ^ _39637) ^ [_43797, _43799] : [_43799 = _43797, -(sum(_43799) = sum(_43797))], (136 ^ _39637) ^ [_44384, _44386] : [138 ^ _39637 : [(139 ^ _39637) ^ [] : [-(member(137 ^ [_44384, _44386], _44386))], (141 ^ _39637) ^ [] : [member(137 ^ [_44384, _44386], _44384)]], -(subset(_44386, _44384))], (126 ^ _39637) ^ [_44070, _44072] : [subset(_44072, _44070), 129 ^ _39637 : [(130 ^ _39637) ^ [_44207] : [member(_44207, _44072), -(member(_44207, _44070))]]], (145 ^ _39637) ^ [_44770, _44772] : [equal_set(_44772, _44770), 148 ^ _39637 : [(149 ^ _39637) ^ [] : [-(subset(_44772, _44770))], (151 ^ _39637) ^ [] : [-(subset(_44770, _44772))]]], (153 ^ _39637) ^ [_45007, _45009] : [-(equal_set(_45009, _45007)), subset(_45009, _45007), subset(_45007, _45009)], (163 ^ _39637) ^ [_45337, _45339] : [member(_45339, power_set(_45337)), -(subset(_45339, _45337))], (169 ^ _39637) ^ [_45503, _45505] : [subset(_45505, _45503), -(member(_45505, power_set(_45503)))], (175 ^ _39637) ^ [_45762, _45764, _45766] : [member(_45766, intersection(_45764, _45762)), 178 ^ _39637 : [(179 ^ _39637) ^ [] : [-(member(_45766, _45764))], (181 ^ _39637) ^ [] : [-(member(_45766, _45762))]]], (183 ^ _39637) ^ [_46013, _46015, _46017] : [-(member(_46017, intersection(_46015, _46013))), member(_46017, _46015), member(_46017, _46013)], (203 ^ _39637) ^ [_46641, _46643, _46645] : [204 ^ _39637 : [(205 ^ _39637) ^ [] : [member(_46645, _46643)], (207 ^ _39637) ^ [] : [member(_46645, _46641)]], -(member(_46645, union(_46643, _46641)))], (193 ^ _39637) ^ [_46373, _46375, _46377] : [member(_46377, union(_46375, _46373)), -(member(_46377, _46375)), -(member(_46377, _46373))], (211 ^ _39637) ^ [_46911] : [member(_46911, empty_set)], (213 ^ _39637) ^ [_47061, _47063, _47065] : [member(_47065, difference(_47061, _47063)), 216 ^ _39637 : [(217 ^ _39637) ^ [] : [-(member(_47065, _47061))], (219 ^ _39637) ^ [] : [member(_47065, _47063)]]], (221 ^ _39637) ^ [_47313, _47315, _47317] : [-(member(_47317, difference(_47313, _47315))), member(_47317, _47313), -(member(_47317, _47315))], (231 ^ _39637) ^ [_47662, _47664] : [member(_47664, singleton(_47662)), -(_47664 = _47662)], (237 ^ _39637) ^ [_47828, _47830] : [_47830 = _47828, -(member(_47830, singleton(_47828)))], (253 ^ _39637) ^ [_48355, _48357, _48359] : [254 ^ _39637 : [(255 ^ _39637) ^ [] : [_48359 = _48357], (257 ^ _39637) ^ [] : [_48359 = _48355]], -(member(_48359, unordered_pair(_48357, _48355)))], (243 ^ _39637) ^ [_48087, _48089, _48091] : [member(_48091, unordered_pair(_48089, _48087)), -(_48091 = _48089), -(_48091 = _48087)], (261 ^ _39637) ^ [_48684, _48686] : [member(_48686, sum(_48684)), 265 ^ _39637 : [(266 ^ _39637) ^ [] : [-(member(264 ^ [_48684, _48686], _48684))], (268 ^ _39637) ^ [] : [-(member(_48686, 264 ^ [_48684, _48686]))]]], (270 ^ _39637) ^ [_48995, _48997] : [-(member(_48997, sum(_48995))), 271 ^ _39637 : [(272 ^ _39637) ^ [_49089] : [member(_49089, _48995), member(_48997, _49089)]]], (290 ^ _39637) ^ [_49690, _49692] : [292 ^ _39637 : [(293 ^ _39637) ^ [] : [-(member(291 ^ [_49690, _49692], _49690))], (295 ^ _39637) ^ [] : [member(_49692, 291 ^ [_49690, _49692])]], -(member(_49692, product(_49690)))], (280 ^ _39637) ^ [_49372, _49374] : [member(_49374, product(_49372)), 283 ^ _39637 : [(284 ^ _39637) ^ [_49513] : [member(_49513, _49372), -(member(_49374, _49513))]]]], input).
% 0.50/1.38 ncf('1',plain,[equal_set(sum(empty_set), empty_set)],start(299 ^ 0)).
% 0.50/1.38 ncf('1.1',plain,[-(equal_set(sum(empty_set), empty_set)), subset(sum(empty_set), empty_set), subset(empty_set, sum(empty_set))],extension(153 ^ 1,bind([[_45007, _45009], [empty_set, sum(empty_set)]]))).
% 0.50/1.38 ncf('1.1.1',plain,[-(subset(sum(empty_set), empty_set)), 139 : -(member(137 ^ [empty_set, sum(empty_set)], sum(empty_set)))],extension(136 ^ 2,bind([[_44384, _44386], [empty_set, sum(empty_set)]]))).
% 0.50/1.38 ncf('1.1.1.1',plain,[member(137 ^ [empty_set, sum(empty_set)], sum(empty_set)), 266 : -(member(264 ^ [empty_set, 137 ^ [empty_set, sum(empty_set)]], empty_set))],extension(261 ^ 5,bind([[_48684, _48686], [empty_set, 137 ^ [empty_set, sum(empty_set)]]]))).
% 0.50/1.38 ncf('1.1.1.1.1',plain,[member(264 ^ [empty_set, 137 ^ [empty_set, sum(empty_set)]], empty_set)],extension(211 ^ 8,bind([[_46911], [264 ^ [empty_set, 137 ^ [empty_set, sum(empty_set)]]]]))).
% 0.50/1.38 ncf('1.1.2',plain,[-(subset(empty_set, sum(empty_set))), 139 : -(member(137 ^ [sum(empty_set), empty_set], empty_set))],extension(136 ^ 2,bind([[_44384, _44386], [sum(empty_set), empty_set]]))).
% 0.50/1.38 ncf('1.1.2.1',plain,[member(137 ^ [sum(empty_set), empty_set], empty_set)],extension(211 ^ 5,bind([[_46911], [137 ^ [sum(empty_set), empty_set]]]))).
% 0.50/1.38 %-----------------------------------------------------
% 0.50/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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