TSTP Solution File: SET012+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET012+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 11:55:03 EDT 2023
% Result : Theorem 1.00s 1.37s
% Output : Proof 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET012+4 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 18:16:15 EDT 2023
% 0.12/0.33 % CPUTime :
% 1.00/1.37
% 1.00/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.00/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.00/1.37 %-----------------------------------------------------
% 1.00/1.37 ncf(matrix, plain, [(301 ^ _42575) ^ [] : [-(subset(298 ^ [], 299 ^ []))], (303 ^ _42575) ^ [] : [equal_set(difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ [])], (2 ^ _42575) ^ [_42719] : [-(_42719 = _42719)], (4 ^ _42575) ^ [_42826, _42828] : [_42828 = _42826, -(_42826 = _42828)], (10 ^ _42575) ^ [_43030, _43032, _43034] : [-(_43034 = _43030), _43034 = _43032, _43032 = _43030], (20 ^ _42575) ^ [_43371, _43373, _43375, _43377] : [-(member(_43375, _43371)), member(_43377, _43373), _43377 = _43375, _43373 = _43371], (34 ^ _42575) ^ [_43815, _43817, _43819, _43821] : [-(subset(_43819, _43815)), subset(_43821, _43817), _43821 = _43819, _43817 = _43815], (48 ^ _42575) ^ [_44239, _44241, _44243, _44245] : [-(equal_set(_44243, _44239)), equal_set(_44245, _44241), _44245 = _44243, _44241 = _44239], (62 ^ _42575) ^ [_44665, _44667] : [_44667 = _44665, -(power_set(_44667) = power_set(_44665))], (68 ^ _42575) ^ [_44911, _44913, _44915, _44917] : [-(intersection(_44917, _44913) = intersection(_44915, _44911)), _44917 = _44915, _44913 = _44911], (78 ^ _42575) ^ [_45270, _45272, _45274, _45276] : [-(union(_45276, _45272) = union(_45274, _45270)), _45276 = _45274, _45272 = _45270], (88 ^ _42575) ^ [_45601, _45603] : [_45603 = _45601, -(singleton(_45603) = singleton(_45601))], (94 ^ _42575) ^ [_45847, _45849, _45851, _45853] : [-(unordered_pair(_45853, _45849) = unordered_pair(_45851, _45847)), _45853 = _45851, _45849 = _45847], (104 ^ _42575) ^ [_46178, _46180] : [_46180 = _46178, -(sum(_46180) = sum(_46178))], (110 ^ _42575) ^ [_46396, _46398] : [_46398 = _46396, -(product(_46398) = product(_46396))], (116 ^ _42575) ^ [_46622, _46624, _46626, _46628] : [-(difference(_46628, _46624) = difference(_46626, _46622)), _46628 = _46626, _46624 = _46622], (136 ^ _42575) ^ [_47322, _47324] : [138 ^ _42575 : [(139 ^ _42575) ^ [] : [-(member(137 ^ [_47322, _47324], _47324))], (141 ^ _42575) ^ [] : [member(137 ^ [_47322, _47324], _47322)]], -(subset(_47324, _47322))], (126 ^ _42575) ^ [_47008, _47010] : [subset(_47010, _47008), 129 ^ _42575 : [(130 ^ _42575) ^ [_47145] : [member(_47145, _47010), -(member(_47145, _47008))]]], (145 ^ _42575) ^ [_47708, _47710] : [equal_set(_47710, _47708), 148 ^ _42575 : [(149 ^ _42575) ^ [] : [-(subset(_47710, _47708))], (151 ^ _42575) ^ [] : [-(subset(_47708, _47710))]]], (153 ^ _42575) ^ [_47945, _47947] : [-(equal_set(_47947, _47945)), subset(_47947, _47945), subset(_47945, _47947)], (163 ^ _42575) ^ [_48275, _48277] : [member(_48277, power_set(_48275)), -(subset(_48277, _48275))], (169 ^ _42575) ^ [_48441, _48443] : [subset(_48443, _48441), -(member(_48443, power_set(_48441)))], (175 ^ _42575) ^ [_48700, _48702, _48704] : [member(_48704, intersection(_48702, _48700)), 178 ^ _42575 : [(179 ^ _42575) ^ [] : [-(member(_48704, _48702))], (181 ^ _42575) ^ [] : [-(member(_48704, _48700))]]], (183 ^ _42575) ^ [_48951, _48953, _48955] : [-(member(_48955, intersection(_48953, _48951))), member(_48955, _48953), member(_48955, _48951)], (203 ^ _42575) ^ [_49579, _49581, _49583] : [204 ^ _42575 : [(205 ^ _42575) ^ [] : [member(_49583, _49581)], (207 ^ _42575) ^ [] : [member(_49583, _49579)]], -(member(_49583, union(_49581, _49579)))], (193 ^ _42575) ^ [_49311, _49313, _49315] : [member(_49315, union(_49313, _49311)), -(member(_49315, _49313)), -(member(_49315, _49311))], (211 ^ _42575) ^ [_49849] : [member(_49849, empty_set)], (213 ^ _42575) ^ [_49999, _50001, _50003] : [member(_50003, difference(_49999, _50001)), 216 ^ _42575 : [(217 ^ _42575) ^ [] : [-(member(_50003, _49999))], (219 ^ _42575) ^ [] : [member(_50003, _50001)]]], (221 ^ _42575) ^ [_50251, _50253, _50255] : [-(member(_50255, difference(_50251, _50253))), member(_50255, _50251), -(member(_50255, _50253))], (231 ^ _42575) ^ [_50600, _50602] : [member(_50602, singleton(_50600)), -(_50602 = _50600)], (237 ^ _42575) ^ [_50766, _50768] : [_50768 = _50766, -(member(_50768, singleton(_50766)))], (253 ^ _42575) ^ [_51293, _51295, _51297] : [254 ^ _42575 : [(255 ^ _42575) ^ [] : [_51297 = _51295], (257 ^ _42575) ^ [] : [_51297 = _51293]], -(member(_51297, unordered_pair(_51295, _51293)))], (243 ^ _42575) ^ [_51025, _51027, _51029] : [member(_51029, unordered_pair(_51027, _51025)), -(_51029 = _51027), -(_51029 = _51025)], (261 ^ _42575) ^ [_51622, _51624] : [member(_51624, sum(_51622)), 265 ^ _42575 : [(266 ^ _42575) ^ [] : [-(member(264 ^ [_51622, _51624], _51622))], (268 ^ _42575) ^ [] : [-(member(_51624, 264 ^ [_51622, _51624]))]]], (270 ^ _42575) ^ [_51933, _51935] : [-(member(_51935, sum(_51933))), 271 ^ _42575 : [(272 ^ _42575) ^ [_52027] : [member(_52027, _51933), member(_51935, _52027)]]], (290 ^ _42575) ^ [_52628, _52630] : [292 ^ _42575 : [(293 ^ _42575) ^ [] : [-(member(291 ^ [_52628, _52630], _52628))], (295 ^ _42575) ^ [] : [member(_52630, 291 ^ [_52628, _52630])]], -(member(_52630, product(_52628)))], (280 ^ _42575) ^ [_52310, _52312] : [member(_52312, product(_52310)), 283 ^ _42575 : [(284 ^ _42575) ^ [_52451] : [member(_52451, _52310), -(member(_52312, _52451))]]]], input).
% 1.00/1.37 ncf('1',plain,[equal_set(difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ [])],start(303 ^ 0)).
% 1.00/1.37 ncf('1.1',plain,[-(equal_set(difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ [])), subset(difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []), subset(298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ [])))],extension(153 ^ 1,bind([[_47945, _47947], [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))]]))).
% 1.00/1.37 ncf('1.1.1',plain,[-(subset(difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))], difference(299 ^ [], difference(299 ^ [], 298 ^ []))))],extension(136 ^ 2,bind([[_47322, _47324], [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))]]))).
% 1.00/1.37 ncf('1.1.1.1',plain,[member(137 ^ [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))], difference(299 ^ [], difference(299 ^ [], 298 ^ []))), 219 : member(137 ^ [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))], difference(299 ^ [], 298 ^ []))],extension(213 ^ 5,bind([[_49999, _50001, _50003], [299 ^ [], difference(299 ^ [], 298 ^ []), 137 ^ [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))]]]))).
% 1.00/1.37 ncf('1.1.1.1.1',plain,[-(member(137 ^ [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))], difference(299 ^ [], 298 ^ []))), member(137 ^ [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))], 299 ^ []), -(member(137 ^ [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))], 298 ^ []))],extension(221 ^ 8,bind([[_50251, _50253, _50255], [299 ^ [], 298 ^ [], 137 ^ [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))]]]))).
% 1.00/1.37 ncf('1.1.1.1.1.1',plain,[-(member(137 ^ [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))], 299 ^ []))],extension(217 ^ 9)).
% 1.00/1.37 ncf('1.1.1.1.1.2',plain,[member(137 ^ [298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))], 298 ^ [])],extension(141 ^ 9)).
% 1.00/1.37 ncf('1.1.2',plain,[-(subset(298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ [])))), 139 : -(member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], 298 ^ []))],extension(136 ^ 2,bind([[_47322, _47324], [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []]]))).
% 1.00/1.37 ncf('1.1.2.1',plain,[member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], 298 ^ []), -(member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], intersection(298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ []))))), member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], difference(299 ^ [], difference(299 ^ [], 298 ^ [])))],extension(183 ^ 5,bind([[_48951, _48953, _48955], [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ [], 137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []]]]))).
% 1.00/1.37 ncf('1.1.2.1.1',plain,[member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], intersection(298 ^ [], difference(299 ^ [], difference(299 ^ [], 298 ^ [])))), 181 : -(member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], difference(299 ^ [], difference(299 ^ [], 298 ^ []))))],extension(175 ^ 6,bind([[_48700, _48702, _48704], [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ [], 137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []]]]))).
% 1.00/1.37 ncf('1.1.2.1.1.1',plain,[member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], difference(299 ^ [], difference(299 ^ [], 298 ^ [])))],extension(141 ^ 9)).
% 1.00/1.37 ncf('1.1.2.1.2',plain,[-(member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], difference(299 ^ [], difference(299 ^ [], 298 ^ [])))), member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], 299 ^ []), -(member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], difference(299 ^ [], 298 ^ [])))],extension(221 ^ 6,bind([[_50251, _50253, _50255], [299 ^ [], difference(299 ^ [], 298 ^ []), 137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []]]]))).
% 1.00/1.37 ncf('1.1.2.1.2.1',plain,[-(member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], 299 ^ [])), 130 : member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], 298 ^ []), 130 : subset(298 ^ [], 299 ^ [])],extension(126 ^ 7,bind([[_47008, _47010, _47145], [299 ^ [], 298 ^ [], 137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []]]]))).
% 1.00/1.37 ncf('1.1.2.1.2.1.1',plain,[-(member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], 298 ^ []))],reduction('1.1.2')).
% 1.00/1.37 ncf('1.1.2.1.2.1.2',plain,[-(subset(298 ^ [], 299 ^ []))],extension(301 ^ 8)).
% 1.00/1.37 ncf('1.1.2.1.2.2',plain,[member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], difference(299 ^ [], 298 ^ [])), 219 : member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], 298 ^ [])],extension(213 ^ 7,bind([[_49999, _50001, _50003], [299 ^ [], 298 ^ [], 137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []]]]))).
% 1.00/1.37 ncf('1.1.2.1.2.2.1',plain,[-(member(137 ^ [difference(299 ^ [], difference(299 ^ [], 298 ^ [])), 298 ^ []], 298 ^ []))],reduction('1.1.2')).
% 1.00/1.37 %-----------------------------------------------------
% 1.00/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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