TSTP Solution File: SET027+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET027+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n005.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 11:55:08 EDT 2023
% Result : Theorem 0.83s 1.40s
% Output : Proof 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET027+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.35 % Computer : n005.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu May 18 18:59:23 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.83/1.40
% 0.83/1.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.83/1.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.40 %-----------------------------------------------------
% 0.83/1.40 ncf(matrix, plain, [(302 ^ _42913) ^ [] : [-(subset(298 ^ [], 299 ^ []))], (304 ^ _42913) ^ [] : [-(subset(299 ^ [], 300 ^ []))], (306 ^ _42913) ^ [] : [subset(298 ^ [], 300 ^ [])], (2 ^ _42913) ^ [_43057] : [-(_43057 = _43057)], (4 ^ _42913) ^ [_43164, _43166] : [_43166 = _43164, -(_43164 = _43166)], (10 ^ _42913) ^ [_43368, _43370, _43372] : [-(_43372 = _43368), _43372 = _43370, _43370 = _43368], (20 ^ _42913) ^ [_43709, _43711, _43713, _43715] : [-(equal_set(_43713, _43709)), equal_set(_43715, _43711), _43715 = _43713, _43711 = _43709], (34 ^ _42913) ^ [_44153, _44155, _44157, _44159] : [-(member(_44157, _44153)), member(_44159, _44155), _44159 = _44157, _44155 = _44153], (48 ^ _42913) ^ [_44577, _44579, _44581, _44583] : [-(subset(_44581, _44577)), subset(_44583, _44579), _44583 = _44581, _44579 = _44577], (62 ^ _42913) ^ [_45003, _45005] : [_45005 = _45003, -(power_set(_45005) = power_set(_45003))], (68 ^ _42913) ^ [_45249, _45251, _45253, _45255] : [-(intersection(_45255, _45251) = intersection(_45253, _45249)), _45255 = _45253, _45251 = _45249], (78 ^ _42913) ^ [_45608, _45610, _45612, _45614] : [-(union(_45614, _45610) = union(_45612, _45608)), _45614 = _45612, _45610 = _45608], (88 ^ _42913) ^ [_45967, _45969, _45971, _45973] : [-(difference(_45973, _45969) = difference(_45971, _45967)), _45973 = _45971, _45969 = _45967], (98 ^ _42913) ^ [_46298, _46300] : [_46300 = _46298, -(singleton(_46300) = singleton(_46298))], (104 ^ _42913) ^ [_46544, _46546, _46548, _46550] : [-(unordered_pair(_46550, _46546) = unordered_pair(_46548, _46544)), _46550 = _46548, _46546 = _46544], (114 ^ _42913) ^ [_46875, _46877] : [_46877 = _46875, -(sum(_46877) = sum(_46875))], (120 ^ _42913) ^ [_47073, _47075] : [_47075 = _47073, -(product(_47075) = product(_47073))], (136 ^ _42913) ^ [_47660, _47662] : [138 ^ _42913 : [(139 ^ _42913) ^ [] : [-(member(137 ^ [_47660, _47662], _47662))], (141 ^ _42913) ^ [] : [member(137 ^ [_47660, _47662], _47660)]], -(subset(_47662, _47660))], (126 ^ _42913) ^ [_47346, _47348] : [subset(_47348, _47346), 129 ^ _42913 : [(130 ^ _42913) ^ [_47483] : [member(_47483, _47348), -(member(_47483, _47346))]]], (145 ^ _42913) ^ [_48046, _48048] : [equal_set(_48048, _48046), 148 ^ _42913 : [(149 ^ _42913) ^ [] : [-(subset(_48048, _48046))], (151 ^ _42913) ^ [] : [-(subset(_48046, _48048))]]], (153 ^ _42913) ^ [_48283, _48285] : [-(equal_set(_48285, _48283)), subset(_48285, _48283), subset(_48283, _48285)], (163 ^ _42913) ^ [_48613, _48615] : [member(_48615, power_set(_48613)), -(subset(_48615, _48613))], (169 ^ _42913) ^ [_48779, _48781] : [subset(_48781, _48779), -(member(_48781, power_set(_48779)))], (175 ^ _42913) ^ [_49038, _49040, _49042] : [member(_49042, intersection(_49040, _49038)), 178 ^ _42913 : [(179 ^ _42913) ^ [] : [-(member(_49042, _49040))], (181 ^ _42913) ^ [] : [-(member(_49042, _49038))]]], (183 ^ _42913) ^ [_49289, _49291, _49293] : [-(member(_49293, intersection(_49291, _49289))), member(_49293, _49291), member(_49293, _49289)], (203 ^ _42913) ^ [_49917, _49919, _49921] : [204 ^ _42913 : [(205 ^ _42913) ^ [] : [member(_49921, _49919)], (207 ^ _42913) ^ [] : [member(_49921, _49917)]], -(member(_49921, union(_49919, _49917)))], (193 ^ _42913) ^ [_49649, _49651, _49653] : [member(_49653, union(_49651, _49649)), -(member(_49653, _49651)), -(member(_49653, _49649))], (211 ^ _42913) ^ [_50187] : [member(_50187, empty_set)], (213 ^ _42913) ^ [_50337, _50339, _50341] : [member(_50341, difference(_50337, _50339)), 216 ^ _42913 : [(217 ^ _42913) ^ [] : [-(member(_50341, _50337))], (219 ^ _42913) ^ [] : [member(_50341, _50339)]]], (221 ^ _42913) ^ [_50589, _50591, _50593] : [-(member(_50593, difference(_50589, _50591))), member(_50593, _50589), -(member(_50593, _50591))], (231 ^ _42913) ^ [_50938, _50940] : [member(_50940, singleton(_50938)), -(_50940 = _50938)], (237 ^ _42913) ^ [_51104, _51106] : [_51106 = _51104, -(member(_51106, singleton(_51104)))], (253 ^ _42913) ^ [_51631, _51633, _51635] : [254 ^ _42913 : [(255 ^ _42913) ^ [] : [_51635 = _51633], (257 ^ _42913) ^ [] : [_51635 = _51631]], -(member(_51635, unordered_pair(_51633, _51631)))], (243 ^ _42913) ^ [_51363, _51365, _51367] : [member(_51367, unordered_pair(_51365, _51363)), -(_51367 = _51365), -(_51367 = _51363)], (261 ^ _42913) ^ [_51960, _51962] : [member(_51962, sum(_51960)), 265 ^ _42913 : [(266 ^ _42913) ^ [] : [-(member(264 ^ [_51960, _51962], _51960))], (268 ^ _42913) ^ [] : [-(member(_51962, 264 ^ [_51960, _51962]))]]], (270 ^ _42913) ^ [_52271, _52273] : [-(member(_52273, sum(_52271))), 271 ^ _42913 : [(272 ^ _42913) ^ [_52365] : [member(_52365, _52271), member(_52273, _52365)]]], (290 ^ _42913) ^ [_52966, _52968] : [292 ^ _42913 : [(293 ^ _42913) ^ [] : [-(member(291 ^ [_52966, _52968], _52966))], (295 ^ _42913) ^ [] : [member(_52968, 291 ^ [_52966, _52968])]], -(member(_52968, product(_52966)))], (280 ^ _42913) ^ [_52648, _52650] : [member(_52650, product(_52648)), 283 ^ _42913 : [(284 ^ _42913) ^ [_52789] : [member(_52789, _52648), -(member(_52650, _52789))]]]], input).
% 0.83/1.40 ncf('1',plain,[member(137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])], difference(298 ^ [], 300 ^ [])), 219 : member(137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])], 300 ^ [])],start(213 ^ 0,bind([[_50337, _50339, _50341], [298 ^ [], 300 ^ [], 137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])]]]))).
% 0.83/1.40 ncf('1.1',plain,[-(member(137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])], difference(298 ^ [], 300 ^ []))), -(subset(difference(298 ^ [], 300 ^ []), 300 ^ []))],extension(136 ^ 1,bind([[_47660, _47662], [300 ^ [], difference(298 ^ [], 300 ^ [])]]))).
% 0.83/1.40 ncf('1.1.1',plain,[subset(difference(298 ^ [], 300 ^ []), 300 ^ []), 130 : member(137 ^ [300 ^ [], 298 ^ []], difference(298 ^ [], 300 ^ [])), 130 : -(member(137 ^ [300 ^ [], 298 ^ []], 300 ^ []))],extension(126 ^ 2,bind([[_47346, _47348, _47483], [300 ^ [], difference(298 ^ [], 300 ^ []), 137 ^ [300 ^ [], 298 ^ []]]]))).
% 0.83/1.40 ncf('1.1.1.1',plain,[-(member(137 ^ [300 ^ [], 298 ^ []], difference(298 ^ [], 300 ^ []))), member(137 ^ [300 ^ [], 298 ^ []], 298 ^ []), -(member(137 ^ [300 ^ [], 298 ^ []], 300 ^ []))],extension(221 ^ 5,bind([[_50589, _50591, _50593], [298 ^ [], 300 ^ [], 137 ^ [300 ^ [], 298 ^ []]]]))).
% 0.83/1.40 ncf('1.1.1.1.1',plain,[-(member(137 ^ [300 ^ [], 298 ^ []], 298 ^ [])), -(subset(298 ^ [], 300 ^ []))],extension(136 ^ 6,bind([[_47660, _47662], [300 ^ [], 298 ^ []]]))).
% 0.83/1.40 ncf('1.1.1.1.1.1',plain,[subset(298 ^ [], 300 ^ [])],extension(306 ^ 7)).
% 0.83/1.40 ncf('1.1.1.1.2',plain,[member(137 ^ [300 ^ [], 298 ^ []], 300 ^ []), -(subset(298 ^ [], 300 ^ []))],extension(136 ^ 6,bind([[_47660, _47662], [300 ^ [], 298 ^ []]]))).
% 0.83/1.40 ncf('1.1.1.1.2.1',plain,[subset(298 ^ [], 300 ^ [])],extension(306 ^ 7)).
% 0.83/1.40 ncf('1.1.1.2',plain,[member(137 ^ [300 ^ [], 298 ^ []], 300 ^ []), -(subset(298 ^ [], 300 ^ []))],extension(136 ^ 5,bind([[_47660, _47662], [300 ^ [], 298 ^ []]]))).
% 0.83/1.40 ncf('1.1.1.2.1',plain,[subset(298 ^ [], 300 ^ [])],extension(306 ^ 6)).
% 0.83/1.40 ncf('1.2',plain,[-(member(137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])], 300 ^ [])), 130 : member(137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])], 300 ^ []), 130 : subset(300 ^ [], 300 ^ [])],extension(126 ^ 3,bind([[_47346, _47348, _47483], [300 ^ [], 300 ^ [], 137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])]]]))).
% 0.83/1.40 ncf('1.2.1',plain,[-(member(137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])], 300 ^ [])), 130 : member(137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])], 299 ^ []), 130 : subset(299 ^ [], 300 ^ [])],extension(126 ^ 6,bind([[_47346, _47348, _47483], [300 ^ [], 299 ^ [], 137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])]]]))).
% 0.83/1.40 ncf('1.2.1.1',plain,[-(member(137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])], 299 ^ [])), 130 : member(137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])], 298 ^ []), 130 : subset(298 ^ [], 299 ^ [])],extension(126 ^ 9,bind([[_47346, _47348, _47483], [299 ^ [], 298 ^ [], 137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])]]]))).
% 0.83/1.40 ncf('1.2.1.1.1',plain,[-(member(137 ^ [300 ^ [], difference(298 ^ [], 300 ^ [])], 298 ^ []))],extension(217 ^ 12)).
% 0.83/1.40 ncf('1.2.1.1.2',plain,[-(subset(298 ^ [], 299 ^ []))],extension(302 ^ 10)).
% 0.83/1.40 ncf('1.2.1.2',plain,[-(subset(299 ^ [], 300 ^ []))],extension(304 ^ 7)).
% 0.83/1.40 ncf('1.2.2',plain,[-(subset(300 ^ [], 300 ^ [])), 139 : -(member(137 ^ [300 ^ [], 300 ^ []], 300 ^ []))],extension(136 ^ 4,bind([[_47660, _47662], [300 ^ [], 300 ^ []]]))).
% 0.83/1.40 ncf('1.2.2.1',plain,[member(137 ^ [300 ^ [], 300 ^ []], 300 ^ [])],extension(141 ^ 7)).
% 0.83/1.40 %-----------------------------------------------------
% 0.83/1.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------