TSTP Solution File: SET002+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET002+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 11:55:01 EDT 2023
% Result : Theorem 0.49s 1.38s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET002+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n012.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 19:12:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.49/1.38
% 0.49/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.49/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/1.38 %-----------------------------------------------------
% 0.49/1.38 ncf(matrix, plain, [(300 ^ _40211) ^ [] : [equal_set(union(298 ^ [], 298 ^ []), 298 ^ [])], (2 ^ _40211) ^ [_40355] : [-(_40355 = _40355)], (4 ^ _40211) ^ [_40462, _40464] : [_40464 = _40462, -(_40462 = _40464)], (10 ^ _40211) ^ [_40666, _40668, _40670] : [-(_40670 = _40666), _40670 = _40668, _40668 = _40666], (20 ^ _40211) ^ [_41007, _41009, _41011, _41013] : [-(subset(_41011, _41007)), subset(_41013, _41009), _41013 = _41011, _41009 = _41007], (34 ^ _40211) ^ [_41451, _41453, _41455, _41457] : [-(member(_41455, _41451)), member(_41457, _41453), _41457 = _41455, _41453 = _41451], (48 ^ _40211) ^ [_41875, _41877, _41879, _41881] : [-(equal_set(_41879, _41875)), equal_set(_41881, _41877), _41881 = _41879, _41877 = _41875], (62 ^ _40211) ^ [_42301, _42303] : [_42303 = _42301, -(power_set(_42303) = power_set(_42301))], (68 ^ _40211) ^ [_42547, _42549, _42551, _42553] : [-(intersection(_42553, _42549) = intersection(_42551, _42547)), _42553 = _42551, _42549 = _42547], (78 ^ _40211) ^ [_42906, _42908, _42910, _42912] : [-(difference(_42912, _42908) = difference(_42910, _42906)), _42912 = _42910, _42908 = _42906], (88 ^ _40211) ^ [_43237, _43239] : [_43239 = _43237, -(singleton(_43239) = singleton(_43237))], (94 ^ _40211) ^ [_43483, _43485, _43487, _43489] : [-(unordered_pair(_43489, _43485) = unordered_pair(_43487, _43483)), _43489 = _43487, _43485 = _43483], (104 ^ _40211) ^ [_43814, _43816] : [_43816 = _43814, -(sum(_43816) = sum(_43814))], (110 ^ _40211) ^ [_44032, _44034] : [_44034 = _44032, -(product(_44034) = product(_44032))], (116 ^ _40211) ^ [_44258, _44260, _44262, _44264] : [-(union(_44264, _44260) = union(_44262, _44258)), _44264 = _44262, _44260 = _44258], (136 ^ _40211) ^ [_44958, _44960] : [138 ^ _40211 : [(139 ^ _40211) ^ [] : [-(member(137 ^ [_44958, _44960], _44960))], (141 ^ _40211) ^ [] : [member(137 ^ [_44958, _44960], _44958)]], -(subset(_44960, _44958))], (126 ^ _40211) ^ [_44644, _44646] : [subset(_44646, _44644), 129 ^ _40211 : [(130 ^ _40211) ^ [_44781] : [member(_44781, _44646), -(member(_44781, _44644))]]], (145 ^ _40211) ^ [_45344, _45346] : [equal_set(_45346, _45344), 148 ^ _40211 : [(149 ^ _40211) ^ [] : [-(subset(_45346, _45344))], (151 ^ _40211) ^ [] : [-(subset(_45344, _45346))]]], (153 ^ _40211) ^ [_45581, _45583] : [-(equal_set(_45583, _45581)), subset(_45583, _45581), subset(_45581, _45583)], (163 ^ _40211) ^ [_45911, _45913] : [member(_45913, power_set(_45911)), -(subset(_45913, _45911))], (169 ^ _40211) ^ [_46077, _46079] : [subset(_46079, _46077), -(member(_46079, power_set(_46077)))], (175 ^ _40211) ^ [_46336, _46338, _46340] : [member(_46340, intersection(_46338, _46336)), 178 ^ _40211 : [(179 ^ _40211) ^ [] : [-(member(_46340, _46338))], (181 ^ _40211) ^ [] : [-(member(_46340, _46336))]]], (183 ^ _40211) ^ [_46587, _46589, _46591] : [-(member(_46591, intersection(_46589, _46587))), member(_46591, _46589), member(_46591, _46587)], (203 ^ _40211) ^ [_47215, _47217, _47219] : [204 ^ _40211 : [(205 ^ _40211) ^ [] : [member(_47219, _47217)], (207 ^ _40211) ^ [] : [member(_47219, _47215)]], -(member(_47219, union(_47217, _47215)))], (193 ^ _40211) ^ [_46947, _46949, _46951] : [member(_46951, union(_46949, _46947)), -(member(_46951, _46949)), -(member(_46951, _46947))], (211 ^ _40211) ^ [_47485] : [member(_47485, empty_set)], (213 ^ _40211) ^ [_47635, _47637, _47639] : [member(_47639, difference(_47635, _47637)), 216 ^ _40211 : [(217 ^ _40211) ^ [] : [-(member(_47639, _47635))], (219 ^ _40211) ^ [] : [member(_47639, _47637)]]], (221 ^ _40211) ^ [_47887, _47889, _47891] : [-(member(_47891, difference(_47887, _47889))), member(_47891, _47887), -(member(_47891, _47889))], (231 ^ _40211) ^ [_48236, _48238] : [member(_48238, singleton(_48236)), -(_48238 = _48236)], (237 ^ _40211) ^ [_48402, _48404] : [_48404 = _48402, -(member(_48404, singleton(_48402)))], (253 ^ _40211) ^ [_48929, _48931, _48933] : [254 ^ _40211 : [(255 ^ _40211) ^ [] : [_48933 = _48931], (257 ^ _40211) ^ [] : [_48933 = _48929]], -(member(_48933, unordered_pair(_48931, _48929)))], (243 ^ _40211) ^ [_48661, _48663, _48665] : [member(_48665, unordered_pair(_48663, _48661)), -(_48665 = _48663), -(_48665 = _48661)], (261 ^ _40211) ^ [_49258, _49260] : [member(_49260, sum(_49258)), 265 ^ _40211 : [(266 ^ _40211) ^ [] : [-(member(264 ^ [_49258, _49260], _49258))], (268 ^ _40211) ^ [] : [-(member(_49260, 264 ^ [_49258, _49260]))]]], (270 ^ _40211) ^ [_49569, _49571] : [-(member(_49571, sum(_49569))), 271 ^ _40211 : [(272 ^ _40211) ^ [_49663] : [member(_49663, _49569), member(_49571, _49663)]]], (290 ^ _40211) ^ [_50264, _50266] : [292 ^ _40211 : [(293 ^ _40211) ^ [] : [-(member(291 ^ [_50264, _50266], _50264))], (295 ^ _40211) ^ [] : [member(_50266, 291 ^ [_50264, _50266])]], -(member(_50266, product(_50264)))], (280 ^ _40211) ^ [_49946, _49948] : [member(_49948, product(_49946)), 283 ^ _40211 : [(284 ^ _40211) ^ [_50087] : [member(_50087, _49946), -(member(_49948, _50087))]]]], input).
% 0.49/1.38 ncf('1',plain,[equal_set(union(298 ^ [], 298 ^ []), 298 ^ [])],start(300 ^ 0)).
% 0.49/1.38 ncf('1.1',plain,[-(equal_set(union(298 ^ [], 298 ^ []), 298 ^ [])), subset(union(298 ^ [], 298 ^ []), 298 ^ []), subset(298 ^ [], union(298 ^ [], 298 ^ []))],extension(153 ^ 1,bind([[_45581, _45583], [298 ^ [], union(298 ^ [], 298 ^ [])]]))).
% 0.49/1.38 ncf('1.1.1',plain,[-(subset(union(298 ^ [], 298 ^ []), 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], union(298 ^ [], 298 ^ [])], union(298 ^ [], 298 ^ [])))],extension(136 ^ 2,bind([[_44958, _44960], [298 ^ [], union(298 ^ [], 298 ^ [])]]))).
% 0.49/1.38 ncf('1.1.1.1',plain,[member(137 ^ [298 ^ [], union(298 ^ [], 298 ^ [])], union(298 ^ [], 298 ^ [])), -(member(137 ^ [298 ^ [], union(298 ^ [], 298 ^ [])], 298 ^ [])), -(member(137 ^ [298 ^ [], union(298 ^ [], 298 ^ [])], 298 ^ []))],extension(193 ^ 5,bind([[_46947, _46949, _46951], [298 ^ [], 298 ^ [], 137 ^ [298 ^ [], union(298 ^ [], 298 ^ [])]]]))).
% 0.49/1.38 ncf('1.1.1.1.1',plain,[member(137 ^ [298 ^ [], union(298 ^ [], 298 ^ [])], 298 ^ [])],extension(141 ^ 6)).
% 0.49/1.38 ncf('1.1.1.1.2',plain,[member(137 ^ [298 ^ [], union(298 ^ [], 298 ^ [])], 298 ^ [])],lemmata('[1, 1, 1].x')).
% 0.49/1.38 ncf('1.1.2',plain,[-(subset(298 ^ [], union(298 ^ [], 298 ^ []))), 139 : -(member(137 ^ [union(298 ^ [], 298 ^ []), 298 ^ []], 298 ^ []))],extension(136 ^ 2,bind([[_44958, _44960], [union(298 ^ [], 298 ^ []), 298 ^ []]]))).
% 0.49/1.38 ncf('1.1.2.1',plain,[member(137 ^ [union(298 ^ [], 298 ^ []), 298 ^ []], 298 ^ []), -(member(137 ^ [union(298 ^ [], 298 ^ []), 298 ^ []], union(298 ^ [], 298 ^ [])))],extension(203 ^ 5,bind([[_47215, _47217, _47219], [298 ^ [], 298 ^ [], 137 ^ [union(298 ^ [], 298 ^ []), 298 ^ []]]]))).
% 0.49/1.38 ncf('1.1.2.1.1',plain,[member(137 ^ [union(298 ^ [], 298 ^ []), 298 ^ []], union(298 ^ [], 298 ^ []))],extension(141 ^ 6)).
% 0.49/1.38 %-----------------------------------------------------
% 0.49/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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