TSTP Solution File: SET689+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET689+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 11:56:17 EDT 2023
% Result : Theorem 5.54s 6.54s
% Output : Proof 5.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET689+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 19:09:20 EDT 2023
% 0.13/0.33 % CPUTime :
% 5.54/6.54
% 5.54/6.54 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 5.54/6.54 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.54/6.54 %-----------------------------------------------------
% 5.54/6.54 ncf(matrix, plain, [(302 ^ _42363) ^ [] : [-(subset(298 ^ [], 299 ^ []))], (304 ^ _42363) ^ [] : [-(subset(299 ^ [], 300 ^ []))], (306 ^ _42363) ^ [] : [-(subset(300 ^ [], 298 ^ []))], (308 ^ _42363) ^ [] : [equal_set(298 ^ [], 300 ^ [])], (2 ^ _42363) ^ [_42507] : [-(_42507 = _42507)], (4 ^ _42363) ^ [_42614, _42616] : [_42616 = _42614, -(_42614 = _42616)], (10 ^ _42363) ^ [_42818, _42820, _42822] : [-(_42822 = _42818), _42822 = _42820, _42820 = _42818], (20 ^ _42363) ^ [_43159, _43161, _43163, _43165] : [-(member(_43163, _43159)), member(_43165, _43161), _43165 = _43163, _43161 = _43159], (34 ^ _42363) ^ [_43603, _43605, _43607, _43609] : [-(subset(_43607, _43603)), subset(_43609, _43605), _43609 = _43607, _43605 = _43603], (48 ^ _42363) ^ [_44027, _44029, _44031, _44033] : [-(equal_set(_44031, _44027)), equal_set(_44033, _44029), _44033 = _44031, _44029 = _44027], (62 ^ _42363) ^ [_44453, _44455] : [_44455 = _44453, -(power_set(_44455) = power_set(_44453))], (68 ^ _42363) ^ [_44699, _44701, _44703, _44705] : [-(intersection(_44705, _44701) = intersection(_44703, _44699)), _44705 = _44703, _44701 = _44699], (78 ^ _42363) ^ [_45058, _45060, _45062, _45064] : [-(union(_45064, _45060) = union(_45062, _45058)), _45064 = _45062, _45060 = _45058], (88 ^ _42363) ^ [_45417, _45419, _45421, _45423] : [-(difference(_45423, _45419) = difference(_45421, _45417)), _45423 = _45421, _45419 = _45417], (98 ^ _42363) ^ [_45748, _45750] : [_45750 = _45748, -(singleton(_45750) = singleton(_45748))], (104 ^ _42363) ^ [_45994, _45996, _45998, _46000] : [-(unordered_pair(_46000, _45996) = unordered_pair(_45998, _45994)), _46000 = _45998, _45996 = _45994], (114 ^ _42363) ^ [_46325, _46327] : [_46327 = _46325, -(sum(_46327) = sum(_46325))], (120 ^ _42363) ^ [_46523, _46525] : [_46525 = _46523, -(product(_46525) = product(_46523))], (136 ^ _42363) ^ [_47110, _47112] : [138 ^ _42363 : [(139 ^ _42363) ^ [] : [-(member(137 ^ [_47110, _47112], _47112))], (141 ^ _42363) ^ [] : [member(137 ^ [_47110, _47112], _47110)]], -(subset(_47112, _47110))], (126 ^ _42363) ^ [_46796, _46798] : [subset(_46798, _46796), 129 ^ _42363 : [(130 ^ _42363) ^ [_46933] : [member(_46933, _46798), -(member(_46933, _46796))]]], (145 ^ _42363) ^ [_47496, _47498] : [equal_set(_47498, _47496), 148 ^ _42363 : [(149 ^ _42363) ^ [] : [-(subset(_47498, _47496))], (151 ^ _42363) ^ [] : [-(subset(_47496, _47498))]]], (153 ^ _42363) ^ [_47733, _47735] : [-(equal_set(_47735, _47733)), subset(_47735, _47733), subset(_47733, _47735)], (163 ^ _42363) ^ [_48063, _48065] : [member(_48065, power_set(_48063)), -(subset(_48065, _48063))], (169 ^ _42363) ^ [_48229, _48231] : [subset(_48231, _48229), -(member(_48231, power_set(_48229)))], (175 ^ _42363) ^ [_48488, _48490, _48492] : [member(_48492, intersection(_48490, _48488)), 178 ^ _42363 : [(179 ^ _42363) ^ [] : [-(member(_48492, _48490))], (181 ^ _42363) ^ [] : [-(member(_48492, _48488))]]], (183 ^ _42363) ^ [_48739, _48741, _48743] : [-(member(_48743, intersection(_48741, _48739))), member(_48743, _48741), member(_48743, _48739)], (203 ^ _42363) ^ [_49367, _49369, _49371] : [204 ^ _42363 : [(205 ^ _42363) ^ [] : [member(_49371, _49369)], (207 ^ _42363) ^ [] : [member(_49371, _49367)]], -(member(_49371, union(_49369, _49367)))], (193 ^ _42363) ^ [_49099, _49101, _49103] : [member(_49103, union(_49101, _49099)), -(member(_49103, _49101)), -(member(_49103, _49099))], (211 ^ _42363) ^ [_49637] : [member(_49637, empty_set)], (213 ^ _42363) ^ [_49787, _49789, _49791] : [member(_49791, difference(_49787, _49789)), 216 ^ _42363 : [(217 ^ _42363) ^ [] : [-(member(_49791, _49787))], (219 ^ _42363) ^ [] : [member(_49791, _49789)]]], (221 ^ _42363) ^ [_50039, _50041, _50043] : [-(member(_50043, difference(_50039, _50041))), member(_50043, _50039), -(member(_50043, _50041))], (231 ^ _42363) ^ [_50388, _50390] : [member(_50390, singleton(_50388)), -(_50390 = _50388)], (237 ^ _42363) ^ [_50554, _50556] : [_50556 = _50554, -(member(_50556, singleton(_50554)))], (253 ^ _42363) ^ [_51081, _51083, _51085] : [254 ^ _42363 : [(255 ^ _42363) ^ [] : [_51085 = _51083], (257 ^ _42363) ^ [] : [_51085 = _51081]], -(member(_51085, unordered_pair(_51083, _51081)))], (243 ^ _42363) ^ [_50813, _50815, _50817] : [member(_50817, unordered_pair(_50815, _50813)), -(_50817 = _50815), -(_50817 = _50813)], (261 ^ _42363) ^ [_51410, _51412] : [member(_51412, sum(_51410)), 265 ^ _42363 : [(266 ^ _42363) ^ [] : [-(member(264 ^ [_51410, _51412], _51410))], (268 ^ _42363) ^ [] : [-(member(_51412, 264 ^ [_51410, _51412]))]]], (270 ^ _42363) ^ [_51721, _51723] : [-(member(_51723, sum(_51721))), 271 ^ _42363 : [(272 ^ _42363) ^ [_51815] : [member(_51815, _51721), member(_51723, _51815)]]], (290 ^ _42363) ^ [_52416, _52418] : [292 ^ _42363 : [(293 ^ _42363) ^ [] : [-(member(291 ^ [_52416, _52418], _52416))], (295 ^ _42363) ^ [] : [member(_52418, 291 ^ [_52416, _52418])]], -(member(_52418, product(_52416)))], (280 ^ _42363) ^ [_52098, _52100] : [member(_52100, product(_52098)), 283 ^ _42363 : [(284 ^ _42363) ^ [_52239] : [member(_52239, _52098), -(member(_52100, _52239))]]]], input).
% 5.54/6.54 ncf('1',plain,[equal_set(298 ^ [], 300 ^ [])],start(308 ^ 0)).
% 5.54/6.54 ncf('1.1',plain,[-(equal_set(298 ^ [], 300 ^ [])), subset(298 ^ [], 300 ^ []), subset(300 ^ [], 298 ^ [])],extension(153 ^ 1,bind([[_47733, _47735], [300 ^ [], 298 ^ []]]))).
% 5.54/6.54 ncf('1.1.1',plain,[-(subset(298 ^ [], 300 ^ [])), subset(298 ^ [], 299 ^ []), 298 ^ [] = 298 ^ [], 299 ^ [] = 300 ^ []],extension(34 ^ 2,bind([[_43603, _43605, _43607, _43609], [300 ^ [], 299 ^ [], 298 ^ [], 298 ^ []]]))).
% 5.54/6.54 ncf('1.1.1.1',plain,[-(subset(298 ^ [], 299 ^ []))],extension(302 ^ 3)).
% 5.54/6.54 ncf('1.1.1.2',plain,[-(298 ^ [] = 298 ^ [])],extension(2 ^ 3,bind([[_42507], [298 ^ []]]))).
% 5.54/6.54 ncf('1.1.1.3',plain,[-(299 ^ [] = 300 ^ []), member(299 ^ [], unordered_pair(300 ^ [], 299 ^ [])), -(299 ^ [] = 299 ^ [])],extension(243 ^ 3,bind([[_50813, _50815, _50817], [299 ^ [], 300 ^ [], 299 ^ []]]))).
% 5.54/6.54 ncf('1.1.1.3.1',plain,[-(member(299 ^ [], unordered_pair(300 ^ [], 299 ^ []))), 257 : 299 ^ [] = 299 ^ []],extension(253 ^ 4,bind([[_51081, _51083, _51085], [299 ^ [], 300 ^ [], 299 ^ []]]))).
% 5.54/6.54 ncf('1.1.1.3.1.1',plain,[-(299 ^ [] = 299 ^ [])],extension(2 ^ 7,bind([[_42507], [299 ^ []]]))).
% 5.54/6.54 ncf('1.1.1.3.2',plain,[299 ^ [] = 299 ^ [], -(member(137 ^ [300 ^ [], 298 ^ []], 299 ^ [])), member(137 ^ [300 ^ [], 298 ^ []], 299 ^ []), 137 ^ [300 ^ [], 298 ^ []] = 137 ^ [300 ^ [], 298 ^ []]],extension(20 ^ 4,bind([[_43159, _43161, _43163, _43165], [299 ^ [], 299 ^ [], 137 ^ [300 ^ [], 298 ^ []], 137 ^ [300 ^ [], 298 ^ []]]]))).
% 5.54/6.54 ncf('1.1.1.3.2.1',plain,[member(137 ^ [300 ^ [], 298 ^ []], 299 ^ []), 130 : -(member(137 ^ [300 ^ [], 298 ^ []], 300 ^ [])), 130 : subset(299 ^ [], 300 ^ [])],extension(126 ^ 5,bind([[_46796, _46798, _46933], [300 ^ [], 299 ^ [], 137 ^ [300 ^ [], 298 ^ []]]]))).
% 5.54/6.54 ncf('1.1.1.3.2.1.1',plain,[member(137 ^ [300 ^ [], 298 ^ []], 300 ^ []), -(subset(298 ^ [], 300 ^ []))],extension(136 ^ 8,bind([[_47110, _47112], [300 ^ [], 298 ^ []]]))).
% 5.54/6.54 ncf('1.1.1.3.2.1.1.1',plain,[subset(298 ^ [], 300 ^ [])],reduction('1.1')).
% 5.54/6.54 ncf('1.1.1.3.2.1.2',plain,[-(subset(299 ^ [], 300 ^ []))],extension(304 ^ 6)).
% 5.54/6.54 ncf('1.1.1.3.2.2',plain,[-(member(137 ^ [300 ^ [], 298 ^ []], 299 ^ [])), 130 : member(137 ^ [300 ^ [], 298 ^ []], 298 ^ []), 130 : subset(298 ^ [], 299 ^ [])],extension(126 ^ 5,bind([[_46796, _46798, _46933], [299 ^ [], 298 ^ [], 137 ^ [300 ^ [], 298 ^ []]]]))).
% 5.54/6.54 ncf('1.1.1.3.2.2.1',plain,[-(member(137 ^ [300 ^ [], 298 ^ []], 298 ^ [])), -(subset(298 ^ [], 300 ^ []))],extension(136 ^ 8,bind([[_47110, _47112], [300 ^ [], 298 ^ []]]))).
% 5.54/6.54 ncf('1.1.1.3.2.2.1.1',plain,[subset(298 ^ [], 300 ^ [])],reduction('1.1')).
% 5.54/6.54 ncf('1.1.1.3.2.2.2',plain,[-(subset(298 ^ [], 299 ^ []))],lemmata('[1, 1].x')).
% 5.54/6.54 ncf('1.1.1.3.2.3',plain,[-(137 ^ [300 ^ [], 298 ^ []] = 137 ^ [300 ^ [], 298 ^ []])],extension(2 ^ 5,bind([[_42507], [137 ^ [300 ^ [], 298 ^ []]]]))).
% 5.54/6.54 ncf('1.1.2',plain,[-(subset(300 ^ [], 298 ^ []))],extension(306 ^ 2)).
% 5.54/6.54 %-----------------------------------------------------
% 5.54/6.54 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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