TSTP Solution File: SET358+4 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET358+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:55:46 EDT 2023

% Result   : Theorem 60.04s 58.23s
% Output   : Proof 60.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET358+4 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.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 19:07:33 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 60.04/58.23  
% 60.04/58.23  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 60.04/58.23  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.04/58.23  %-----------------------------------------------------
% 60.04/58.23  ncf(matrix, plain, [(301 ^ _60369) ^ [] : [equal_set(union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ [])))], !, (183 ^ _49869) ^ [_56225, _56227, _56229] : [-(member(_56229, intersection(_56227, _56225))), member(_56229, _56227), member(_56229, _56225)], (221 ^ _49869) ^ [_57525, _57527, _57529] : [-(member(_57529, difference(_57525, _57527))), member(_57529, _57525), -(member(_57529, _57527))], (243 ^ _49869) ^ [_58299, _58301, _58303] : [member(_58303, unordered_pair(_58301, _58299)), -(_58303 = _58301), -(_58303 = _58299)], (78 ^ _49869) ^ [_52544, _52546, _52548, _52550] : [-(difference(_52550, _52546) = difference(_52548, _52544)), _52550 = _52548, _52546 = _52544], (203 ^ _49869) ^ [_56853, _56855, _56857] : [204 ^ _49869 : [(207 ^ _49869) ^ [] : [member(_56857, _56853)], (205 ^ _49869) ^ [] : [member(_56857, _56855)]], -(member(_56857, union(_56855, _56853)))], (237 ^ _49869) ^ [_58040, _58042] : [_58042 = _58040, -(member(_58042, singleton(_58040)))], (4 ^ _49869) ^ [_50100, _50102] : [_50102 = _50100, -(_50100 = _50102)], (193 ^ _49869) ^ [_56585, _56587, _56589] : [member(_56589, union(_56587, _56585)), -(member(_56589, _56587)), -(member(_56589, _56585))], (2 ^ _49869) ^ [_49993] : [-(_49993 = _49993)], (116 ^ _49869) ^ [_53896, _53898, _53900, _53902] : [-(union(_53902, _53898) = union(_53900, _53896)), _53902 = _53900, _53898 = _53896], (104 ^ _49869) ^ [_53452, _53454] : [_53454 = _53452, -(product(_53454) = product(_53452))], (126 ^ _49869) ^ [_54282, _54284] : [subset(_54284, _54282), 129 ^ _49869 : [(130 ^ _49869) ^ [_54419] : [member(_54419, _54284), -(member(_54419, _54282))]]], (62 ^ _49869) ^ [_51939, _51941] : [_51941 = _51939, -(power_set(_51941) = power_set(_51939))], (136 ^ _49869) ^ [_54596, _54598] : [138 ^ _49869 : [(141 ^ _49869) ^ [] : [member(137 ^ [_54596, _54598], _54596)], (139 ^ _49869) ^ [] : [-(member(137 ^ [_54596, _54598], _54598))]], -(subset(_54598, _54596))], (169 ^ _49869) ^ [_55715, _55717] : [subset(_55717, _55715), -(member(_55717, power_set(_55715)))], (253 ^ _49869) ^ [_58567, _58569, _58571] : [254 ^ _49869 : [(257 ^ _49869) ^ [] : [_58571 = _58567], (255 ^ _49869) ^ [] : [_58571 = _58569]], -(member(_58571, unordered_pair(_58569, _58567)))], (270 ^ _49869) ^ [_59207, _59209] : [-(member(_59209, sum(_59207))), 271 ^ _49869 : [(272 ^ _49869) ^ [_59301] : [member(_59301, _59207), member(_59209, _59301)]]], (68 ^ _49869) ^ [_52185, _52187, _52189, _52191] : [-(intersection(_52191, _52187) = intersection(_52189, _52185)), _52191 = _52189, _52187 = _52185], (280 ^ _49869) ^ [_59584, _59586] : [member(_59586, product(_59584)), 283 ^ _49869 : [(284 ^ _49869) ^ [_59725] : [member(_59725, _59584), -(member(_59586, _59725))]]], (20 ^ _49869) ^ [_50645, _50647, _50649, _50651] : [-(subset(_50649, _50645)), subset(_50651, _50647), _50651 = _50649, _50647 = _50645], (153 ^ _49869) ^ [_55219, _55221] : [-(equal_set(_55221, _55219)), subset(_55221, _55219), subset(_55219, _55221)], (211 ^ _49869) ^ [_57123] : [member(_57123, empty_set)], (88 ^ _49869) ^ [_52875, _52877] : [_52877 = _52875, -(singleton(_52877) = singleton(_52875))], (145 ^ _49869) ^ [_54982, _54984] : [equal_set(_54984, _54982), 148 ^ _49869 : [(151 ^ _49869) ^ [] : [-(subset(_54982, _54984))], (149 ^ _49869) ^ [] : [-(subset(_54984, _54982))]]], (261 ^ _49869) ^ [_58896, _58898] : [member(_58898, sum(_58896)), 265 ^ _49869 : [(268 ^ _49869) ^ [] : [-(member(_58898, 264 ^ [_58896, _58898]))], (266 ^ _49869) ^ [] : [-(member(264 ^ [_58896, _58898], _58896))]]], (94 ^ _49869) ^ [_53121, _53123, _53125, _53127] : [-(unordered_pair(_53127, _53123) = unordered_pair(_53125, _53121)), _53127 = _53125, _53123 = _53121], (290 ^ _49869) ^ [_59902, _59904] : [292 ^ _49869 : [(295 ^ _49869) ^ [] : [member(_59904, 291 ^ [_59902, _59904])], (293 ^ _49869) ^ [] : [-(member(291 ^ [_59902, _59904], _59902))]], -(member(_59904, product(_59902)))], (163 ^ _49869) ^ [_55549, _55551] : [member(_55551, power_set(_55549)), -(subset(_55551, _55549))], (48 ^ _49869) ^ [_51513, _51515, _51517, _51519] : [-(equal_set(_51517, _51513)), equal_set(_51519, _51515), _51519 = _51517, _51515 = _51513], (34 ^ _49869) ^ [_51089, _51091, _51093, _51095] : [-(member(_51093, _51089)), member(_51095, _51091), _51095 = _51093, _51091 = _51089], (175 ^ _49869) ^ [_55974, _55976, _55978] : [member(_55978, intersection(_55976, _55974)), 178 ^ _49869 : [(181 ^ _49869) ^ [] : [-(member(_55978, _55974))], (179 ^ _49869) ^ [] : [-(member(_55978, _55976))]]], (10 ^ _49869) ^ [_50304, _50306, _50308] : [-(_50308 = _50304), _50308 = _50306, _50306 = _50304], (110 ^ _49869) ^ [_53670, _53672] : [_53672 = _53670, -(sum(_53672) = sum(_53670))], (231 ^ _49869) ^ [_57874, _57876] : [member(_57876, singleton(_57874)), -(_57876 = _57874)], (213 ^ _49869) ^ [_57273, _57275, _57277] : [member(_57277, difference(_57273, _57275)), 216 ^ _49869 : [(219 ^ _49869) ^ [] : [member(_57277, _57275)], (217 ^ _49869) ^ [] : [-(member(_57277, _57273))]]]], input).
% 60.04/58.23  ncf('1',plain,[equal_set(union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ [])))],start(301 ^ 0)).
% 60.04/58.23  ncf('1.1',plain,[-(equal_set(union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ [])))), subset(union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))), subset(sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ [])))],extension(153 ^ 1,bind([[_55219, _55221], [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]))).
% 60.04/58.23  ncf('1.1.1',plain,[-(subset(union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ [])))), 139 : -(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], union(sum(298 ^ []), sum(299 ^ []))))],extension(136 ^ 2,bind([[_54596, _54598], [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]))).
% 60.04/58.23  ncf('1.1.1.1',plain,[member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], union(sum(298 ^ []), sum(299 ^ []))), -(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(298 ^ []))), -(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(299 ^ [])))],extension(193 ^ 5,bind([[_56585, _56587, _56589], [sum(299 ^ []), sum(298 ^ []), 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.1',plain,[member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(298 ^ [])), -(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(sum(298 ^ []), sum(union(298 ^ [], 299 ^ []))))), member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ [])))],extension(183 ^ 6,bind([[_56225, _56227, _56229], [sum(union(298 ^ [], 299 ^ [])), sum(298 ^ []), 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.1.1',plain,[member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(sum(298 ^ []), sum(union(298 ^ [], 299 ^ [])))), -(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(intersection(sum(298 ^ []), sum(union(298 ^ [], 299 ^ []))), sum(union(298 ^ [], 299 ^ []))))), member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ [])))],extension(183 ^ 7,bind([[_56225, _56227, _56229], [sum(union(298 ^ [], 299 ^ [])), intersection(sum(298 ^ []), sum(union(298 ^ [], 299 ^ []))), 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.1.1.1',plain,[member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(intersection(sum(298 ^ []), sum(union(298 ^ [], 299 ^ []))), sum(union(298 ^ [], 299 ^ [])))), 181 : -(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ []))))],extension(175 ^ 8,bind([[_55974, _55976, _55978], [sum(union(298 ^ [], 299 ^ [])), intersection(sum(298 ^ []), sum(union(298 ^ [], 299 ^ []))), 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.1.1.1.1',plain,[member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ [])))],extension(141 ^ 11)).
% 60.04/58.23  ncf('1.1.1.1.1.1.2',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ [])))), member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(sum(298 ^ []), sum(union(298 ^ [], 299 ^ []))))],extension(175 ^ 8,bind([[_55974, _55976, _55978], [sum(union(298 ^ [], 299 ^ [])), sum(298 ^ []), 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.1.1.2.1',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(sum(298 ^ []), sum(union(298 ^ [], 299 ^ [])))))],reduction('1.1.1.1.1')).
% 60.04/58.23  ncf('1.1.1.1.1.2',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ [])))), 272 : member(264 ^ [298 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]], union(298 ^ [], 299 ^ [])), 272 : member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], 264 ^ [298 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]])],extension(270 ^ 7,bind([[_59207, _59209, _59301], [union(298 ^ [], 299 ^ []), 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], 264 ^ [298 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]]))).
% 60.04/58.23  ncf('1.1.1.1.1.2.1',plain,[-(member(264 ^ [298 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]], union(298 ^ [], 299 ^ []))), 205 : member(264 ^ [298 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]], 298 ^ [])],extension(203 ^ 10,bind([[_56853, _56855, _56857], [299 ^ [], 298 ^ [], 264 ^ [298 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]]))).
% 60.04/58.23  ncf('1.1.1.1.1.2.1.1',plain,[-(member(264 ^ [298 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]], 298 ^ [])), member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(298 ^ []))],extension(261 ^ 13,bind([[_58896, _58898], [298 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.1.2.1.1.1',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(298 ^ [])))],reduction('1.1.1.1')).
% 60.04/58.23  ncf('1.1.1.1.1.2.2',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], 264 ^ [298 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]])), member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(298 ^ []))],extension(261 ^ 10,bind([[_58896, _58898], [298 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.1.2.2.1',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(298 ^ [])))],reduction('1.1.1.1')).
% 60.04/58.23  ncf('1.1.1.1.2',plain,[member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(299 ^ [])), -(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(sum(299 ^ []), sum(union(298 ^ [], 299 ^ []))))), member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ [])))],extension(183 ^ 6,bind([[_56225, _56227, _56229], [sum(union(298 ^ [], 299 ^ [])), sum(299 ^ []), 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.2.1',plain,[member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(sum(299 ^ []), sum(union(298 ^ [], 299 ^ [])))), -(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(intersection(sum(299 ^ []), sum(union(298 ^ [], 299 ^ []))), sum(union(298 ^ [], 299 ^ []))))), member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ [])))],extension(183 ^ 7,bind([[_56225, _56227, _56229], [sum(union(298 ^ [], 299 ^ [])), intersection(sum(299 ^ []), sum(union(298 ^ [], 299 ^ []))), 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.2.1.1',plain,[member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(intersection(sum(299 ^ []), sum(union(298 ^ [], 299 ^ []))), sum(union(298 ^ [], 299 ^ [])))), 181 : -(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ []))))],extension(175 ^ 8,bind([[_55974, _55976, _55978], [sum(union(298 ^ [], 299 ^ [])), intersection(sum(299 ^ []), sum(union(298 ^ [], 299 ^ []))), 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.2.1.1.1',plain,[member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ [])))],extension(141 ^ 11)).
% 60.04/58.23  ncf('1.1.1.1.2.1.2',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ [])))), member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(sum(299 ^ []), sum(union(298 ^ [], 299 ^ []))))],extension(175 ^ 8,bind([[_55974, _55976, _55978], [sum(union(298 ^ [], 299 ^ [])), sum(299 ^ []), 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.2.1.2.1',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], intersection(sum(299 ^ []), sum(union(298 ^ [], 299 ^ [])))))],reduction('1.1.1.1.2')).
% 60.04/58.23  ncf('1.1.1.1.2.2',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(union(298 ^ [], 299 ^ [])))), 272 : member(264 ^ [299 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]], union(298 ^ [], 299 ^ [])), 272 : member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], 264 ^ [299 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]])],extension(270 ^ 7,bind([[_59207, _59209, _59301], [union(298 ^ [], 299 ^ []), 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], 264 ^ [299 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]]))).
% 60.04/58.23  ncf('1.1.1.1.2.2.1',plain,[-(member(264 ^ [299 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]], union(298 ^ [], 299 ^ []))), 207 : member(264 ^ [299 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]], 299 ^ [])],extension(203 ^ 10,bind([[_56853, _56855, _56857], [299 ^ [], 298 ^ [], 264 ^ [299 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]]))).
% 60.04/58.23  ncf('1.1.1.1.2.2.1.1',plain,[-(member(264 ^ [299 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]], 299 ^ [])), member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(299 ^ []))],extension(261 ^ 13,bind([[_58896, _58898], [299 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.2.2.1.1.1',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(299 ^ [])))],reduction('1.1.1.1')).
% 60.04/58.23  ncf('1.1.1.1.2.2.2',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], 264 ^ [299 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]])), member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(299 ^ []))],extension(261 ^ 10,bind([[_58896, _58898], [299 ^ [], 137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.1.1.2.2.2.1',plain,[-(member(137 ^ [sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ []))], sum(299 ^ [])))],reduction('1.1.1.1')).
% 60.04/58.23  ncf('1.1.2',plain,[-(subset(sum(union(298 ^ [], 299 ^ [])), union(sum(298 ^ []), sum(299 ^ [])))), 139 : -(member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], sum(union(298 ^ [], 299 ^ []))))],extension(136 ^ 2,bind([[_54596, _54598], [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]]))).
% 60.04/58.23  ncf('1.1.2.1',plain,[member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], sum(union(298 ^ [], 299 ^ []))), 266 : -(member(264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]], union(298 ^ [], 299 ^ [])))],extension(261 ^ 5,bind([[_58896, _58898], [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.2.1.1',plain,[member(264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]], union(298 ^ [], 299 ^ [])), -(member(264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]], 298 ^ [])), -(member(264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]], 299 ^ []))],extension(193 ^ 8,bind([[_56585, _56587, _56589], [299 ^ [], 298 ^ [], 264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]]]]))).
% 60.04/58.23  ncf('1.1.2.1.1.1',plain,[member(264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]], 298 ^ []), 272 : member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], 264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]]), 272 : -(member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], sum(298 ^ [])))],extension(270 ^ 9,bind([[_59207, _59209, _59301], [298 ^ [], 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], 264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]]]]))).
% 60.04/58.23  ncf('1.1.2.1.1.1.1',plain,[-(member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], 264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]]))],extension(268 ^ 12)).
% 60.04/58.23  ncf('1.1.2.1.1.1.2',plain,[member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], sum(298 ^ [])), -(member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], union(sum(298 ^ []), sum(299 ^ []))))],extension(203 ^ 10,bind([[_56853, _56855, _56857], [sum(299 ^ []), sum(298 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.2.1.1.1.2.1',plain,[member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], union(sum(298 ^ []), sum(299 ^ [])))],extension(141 ^ 11)).
% 60.04/58.23  ncf('1.1.2.1.1.2',plain,[member(264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]], 299 ^ []), 272 : member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], 264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]]), 272 : -(member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], sum(299 ^ [])))],extension(270 ^ 9,bind([[_59207, _59209, _59301], [299 ^ [], 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], 264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]]]]))).
% 60.04/58.23  ncf('1.1.2.1.1.2.1',plain,[-(member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], 264 ^ [union(298 ^ [], 299 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]]))],extension(268 ^ 12)).
% 60.04/58.23  ncf('1.1.2.1.1.2.2',plain,[member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], sum(299 ^ [])), -(member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], union(sum(298 ^ []), sum(299 ^ []))))],extension(203 ^ 10,bind([[_56853, _56855, _56857], [sum(299 ^ []), sum(298 ^ []), 137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))]]]))).
% 60.04/58.23  ncf('1.1.2.1.1.2.2.1',plain,[member(137 ^ [union(sum(298 ^ []), sum(299 ^ [])), sum(union(298 ^ [], 299 ^ []))], union(sum(298 ^ []), sum(299 ^ [])))],extension(141 ^ 11)).
% 60.04/58.23  %-----------------------------------------------------
% 60.04/58.23  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------