TSTP Solution File: SET595+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET595+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n026.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 11:56:04 EDT 2023
% Result : Theorem 1.09s 1.38s
% Output : Proof 1.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET595+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n026.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 19:18:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 1.09/1.38
% 1.09/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.09/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.09/1.38 %-----------------------------------------------------
% 1.09/1.38 ncf(matrix, plain, [(301 ^ _42573) ^ [] : [-(subset(298 ^ [], 299 ^ []))], (303 ^ _42573) ^ [] : [equal_set(union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ [])], (2 ^ _42573) ^ [_42717] : [-(_42717 = _42717)], (4 ^ _42573) ^ [_42824, _42826] : [_42826 = _42824, -(_42824 = _42826)], (10 ^ _42573) ^ [_43028, _43030, _43032] : [-(_43032 = _43028), _43032 = _43030, _43030 = _43028], (20 ^ _42573) ^ [_43369, _43371, _43373, _43375] : [-(member(_43373, _43369)), member(_43375, _43371), _43375 = _43373, _43371 = _43369], (34 ^ _42573) ^ [_43813, _43815, _43817, _43819] : [-(subset(_43817, _43813)), subset(_43819, _43815), _43819 = _43817, _43815 = _43813], (48 ^ _42573) ^ [_44237, _44239, _44241, _44243] : [-(equal_set(_44241, _44237)), equal_set(_44243, _44239), _44243 = _44241, _44239 = _44237], (62 ^ _42573) ^ [_44663, _44665] : [_44665 = _44663, -(power_set(_44665) = power_set(_44663))], (68 ^ _42573) ^ [_44909, _44911, _44913, _44915] : [-(intersection(_44915, _44911) = intersection(_44913, _44909)), _44915 = _44913, _44911 = _44909], (78 ^ _42573) ^ [_45240, _45242] : [_45242 = _45240, -(singleton(_45242) = singleton(_45240))], (84 ^ _42573) ^ [_45486, _45488, _45490, _45492] : [-(unordered_pair(_45492, _45488) = unordered_pair(_45490, _45486)), _45492 = _45490, _45488 = _45486], (94 ^ _42573) ^ [_45817, _45819] : [_45819 = _45817, -(sum(_45819) = sum(_45817))], (100 ^ _42573) ^ [_46035, _46037] : [_46037 = _46035, -(product(_46037) = product(_46035))], (106 ^ _42573) ^ [_46281, _46283, _46285, _46287] : [-(union(_46287, _46283) = union(_46285, _46281)), _46287 = _46285, _46283 = _46281], (116 ^ _42573) ^ [_46620, _46622, _46624, _46626] : [-(difference(_46626, _46622) = difference(_46624, _46620)), _46626 = _46624, _46622 = _46620], (136 ^ _42573) ^ [_47320, _47322] : [138 ^ _42573 : [(139 ^ _42573) ^ [] : [-(member(137 ^ [_47320, _47322], _47322))], (141 ^ _42573) ^ [] : [member(137 ^ [_47320, _47322], _47320)]], -(subset(_47322, _47320))], (126 ^ _42573) ^ [_47006, _47008] : [subset(_47008, _47006), 129 ^ _42573 : [(130 ^ _42573) ^ [_47143] : [member(_47143, _47008), -(member(_47143, _47006))]]], (145 ^ _42573) ^ [_47706, _47708] : [equal_set(_47708, _47706), 148 ^ _42573 : [(149 ^ _42573) ^ [] : [-(subset(_47708, _47706))], (151 ^ _42573) ^ [] : [-(subset(_47706, _47708))]]], (153 ^ _42573) ^ [_47943, _47945] : [-(equal_set(_47945, _47943)), subset(_47945, _47943), subset(_47943, _47945)], (163 ^ _42573) ^ [_48273, _48275] : [member(_48275, power_set(_48273)), -(subset(_48275, _48273))], (169 ^ _42573) ^ [_48439, _48441] : [subset(_48441, _48439), -(member(_48441, power_set(_48439)))], (175 ^ _42573) ^ [_48698, _48700, _48702] : [member(_48702, intersection(_48700, _48698)), 178 ^ _42573 : [(179 ^ _42573) ^ [] : [-(member(_48702, _48700))], (181 ^ _42573) ^ [] : [-(member(_48702, _48698))]]], (183 ^ _42573) ^ [_48949, _48951, _48953] : [-(member(_48953, intersection(_48951, _48949))), member(_48953, _48951), member(_48953, _48949)], (203 ^ _42573) ^ [_49577, _49579, _49581] : [204 ^ _42573 : [(205 ^ _42573) ^ [] : [member(_49581, _49579)], (207 ^ _42573) ^ [] : [member(_49581, _49577)]], -(member(_49581, union(_49579, _49577)))], (193 ^ _42573) ^ [_49309, _49311, _49313] : [member(_49313, union(_49311, _49309)), -(member(_49313, _49311)), -(member(_49313, _49309))], (211 ^ _42573) ^ [_49847] : [member(_49847, empty_set)], (213 ^ _42573) ^ [_49997, _49999, _50001] : [member(_50001, difference(_49997, _49999)), 216 ^ _42573 : [(217 ^ _42573) ^ [] : [-(member(_50001, _49997))], (219 ^ _42573) ^ [] : [member(_50001, _49999)]]], (221 ^ _42573) ^ [_50249, _50251, _50253] : [-(member(_50253, difference(_50249, _50251))), member(_50253, _50249), -(member(_50253, _50251))], (231 ^ _42573) ^ [_50598, _50600] : [member(_50600, singleton(_50598)), -(_50600 = _50598)], (237 ^ _42573) ^ [_50764, _50766] : [_50766 = _50764, -(member(_50766, singleton(_50764)))], (253 ^ _42573) ^ [_51291, _51293, _51295] : [254 ^ _42573 : [(255 ^ _42573) ^ [] : [_51295 = _51293], (257 ^ _42573) ^ [] : [_51295 = _51291]], -(member(_51295, unordered_pair(_51293, _51291)))], (243 ^ _42573) ^ [_51023, _51025, _51027] : [member(_51027, unordered_pair(_51025, _51023)), -(_51027 = _51025), -(_51027 = _51023)], (261 ^ _42573) ^ [_51620, _51622] : [member(_51622, sum(_51620)), 265 ^ _42573 : [(266 ^ _42573) ^ [] : [-(member(264 ^ [_51620, _51622], _51620))], (268 ^ _42573) ^ [] : [-(member(_51622, 264 ^ [_51620, _51622]))]]], (270 ^ _42573) ^ [_51931, _51933] : [-(member(_51933, sum(_51931))), 271 ^ _42573 : [(272 ^ _42573) ^ [_52025] : [member(_52025, _51931), member(_51933, _52025)]]], (290 ^ _42573) ^ [_52626, _52628] : [292 ^ _42573 : [(293 ^ _42573) ^ [] : [-(member(291 ^ [_52626, _52628], _52626))], (295 ^ _42573) ^ [] : [member(_52628, 291 ^ [_52626, _52628])]], -(member(_52628, product(_52626)))], (280 ^ _42573) ^ [_52308, _52310] : [member(_52310, product(_52308)), 283 ^ _42573 : [(284 ^ _42573) ^ [_52449] : [member(_52449, _52308), -(member(_52310, _52449))]]]], input).
% 1.09/1.38 ncf('1',plain,[equal_set(union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ [])],start(303 ^ 0)).
% 1.09/1.38 ncf('1.1',plain,[-(equal_set(union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ [])), subset(union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []), subset(299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ []))],extension(153 ^ 1,bind([[_47943, _47945], [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])]]))).
% 1.09/1.38 ncf('1.1.1',plain,[-(subset(union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ [])), 139 : -(member(137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])], union(difference(299 ^ [], 298 ^ []), 298 ^ [])))],extension(136 ^ 2,bind([[_47320, _47322], [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])]]))).
% 1.09/1.38 ncf('1.1.1.1',plain,[member(137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])], union(difference(299 ^ [], 298 ^ []), 298 ^ [])), -(member(137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])], difference(299 ^ [], 298 ^ []))), -(member(137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])], 298 ^ []))],extension(193 ^ 5,bind([[_49309, _49311, _49313], [298 ^ [], difference(299 ^ [], 298 ^ []), 137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])]]]))).
% 1.09/1.38 ncf('1.1.1.1.1',plain,[member(137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])], difference(299 ^ [], 298 ^ [])), 217 : -(member(137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])], 299 ^ []))],extension(213 ^ 6,bind([[_49997, _49999, _50001], [299 ^ [], 298 ^ [], 137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])]]]))).
% 1.09/1.38 ncf('1.1.1.1.1.1',plain,[member(137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])], 299 ^ [])],extension(141 ^ 9)).
% 1.09/1.38 ncf('1.1.1.1.2',plain,[member(137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])], 298 ^ []), 130 : -(member(137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])], 299 ^ [])), 130 : subset(298 ^ [], 299 ^ [])],extension(126 ^ 6,bind([[_47006, _47008, _47143], [299 ^ [], 298 ^ [], 137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])]]]))).
% 1.09/1.38 ncf('1.1.1.1.2.1',plain,[member(137 ^ [299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ [])], 299 ^ [])],extension(141 ^ 9)).
% 1.09/1.38 ncf('1.1.1.1.2.2',plain,[-(subset(298 ^ [], 299 ^ []))],extension(301 ^ 7)).
% 1.09/1.38 ncf('1.1.2',plain,[-(subset(299 ^ [], union(difference(299 ^ [], 298 ^ []), 298 ^ []))), 139 : -(member(137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []], 299 ^ []))],extension(136 ^ 2,bind([[_47320, _47322], [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []]]))).
% 1.09/1.38 ncf('1.1.2.1',plain,[member(137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []], 299 ^ []), -(member(137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []], difference(299 ^ [], 298 ^ []))), -(member(137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []], 298 ^ []))],extension(221 ^ 5,bind([[_50249, _50251, _50253], [299 ^ [], 298 ^ [], 137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []]]]))).
% 1.09/1.38 ncf('1.1.2.1.1',plain,[member(137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []], difference(299 ^ [], 298 ^ [])), -(member(137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []], union(difference(299 ^ [], 298 ^ []), 298 ^ [])))],extension(203 ^ 6,bind([[_49577, _49579, _49581], [298 ^ [], difference(299 ^ [], 298 ^ []), 137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []]]]))).
% 1.09/1.38 ncf('1.1.2.1.1.1',plain,[member(137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []], union(difference(299 ^ [], 298 ^ []), 298 ^ []))],extension(141 ^ 7)).
% 1.09/1.38 ncf('1.1.2.1.2',plain,[member(137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []], 298 ^ []), -(member(137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []], union(difference(299 ^ [], 298 ^ []), 298 ^ [])))],extension(203 ^ 6,bind([[_49577, _49579, _49581], [298 ^ [], difference(299 ^ [], 298 ^ []), 137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []]]]))).
% 1.09/1.38 ncf('1.1.2.1.2.1',plain,[member(137 ^ [union(difference(299 ^ [], 298 ^ []), 298 ^ []), 299 ^ []], union(difference(299 ^ [], 298 ^ []), 298 ^ []))],extension(141 ^ 7)).
% 1.09/1.38 %-----------------------------------------------------
% 1.09/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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