TSTP Solution File: SET155+4 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET155+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 11:55:30 EDT 2023

% Result   : Theorem 70.34s 68.61s
% Output   : Proof 70.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET155+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n012.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May 18 19:13:16 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 70.34/68.61  
% 70.34/68.61  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 70.34/68.61  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.34/68.61  %-----------------------------------------------------
% 70.34/68.61  ncf(matrix, plain, [(306 ^ _62829) ^ [] : [equal_set(difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))], (304 ^ _62829) ^ [] : [-(subset(299 ^ [], 300 ^ []))], (302 ^ _62829) ^ [] : [-(subset(298 ^ [], 300 ^ []))], !, (183 ^ _52226) ^ [_58582, _58584, _58586] : [-(member(_58586, intersection(_58584, _58582))), member(_58586, _58584), member(_58586, _58582)], (221 ^ _52226) ^ [_59882, _59884, _59886] : [-(member(_59886, difference(_59882, _59884))), member(_59886, _59882), -(member(_59886, _59884))], (243 ^ _52226) ^ [_60656, _60658, _60660] : [member(_60660, unordered_pair(_60658, _60656)), -(_60660 = _60658), -(_60660 = _60656)], (74 ^ _52226) ^ [_54760, _54762, _54764, _54766] : [-(unordered_pair(_54766, _54762) = unordered_pair(_54764, _54760)), _54766 = _54764, _54762 = _54760], (203 ^ _52226) ^ [_59210, _59212, _59214] : [204 ^ _52226 : [(207 ^ _52226) ^ [] : [member(_59214, _59210)], (205 ^ _52226) ^ [] : [member(_59214, _59212)]], -(member(_59214, union(_59212, _59210)))], (237 ^ _52226) ^ [_60397, _60399] : [_60399 = _60397, -(member(_60399, singleton(_60397)))], (4 ^ _52226) ^ [_52457, _52459] : [_52459 = _52457, -(_52457 = _52459)], (193 ^ _52226) ^ [_58942, _58944, _58946] : [member(_58946, union(_58944, _58942)), -(member(_58946, _58944)), -(member(_58946, _58942))], (2 ^ _52226) ^ [_52350] : [-(_52350 = _52350)], (116 ^ _52226) ^ [_56253, _56255, _56257, _56259] : [-(difference(_56259, _56255) = difference(_56257, _56253)), _56259 = _56257, _56255 = _56253], (96 ^ _52226) ^ [_55555, _55557, _55559, _55561] : [-(union(_55561, _55557) = union(_55559, _55555)), _55561 = _55559, _55557 = _55555], (126 ^ _52226) ^ [_56639, _56641] : [subset(_56641, _56639), 129 ^ _52226 : [(130 ^ _52226) ^ [_56776] : [member(_56776, _56641), -(member(_56776, _56639))]]], (62 ^ _52226) ^ [_54296, _54298] : [_54298 = _54296, -(power_set(_54298) = power_set(_54296))], (136 ^ _52226) ^ [_56953, _56955] : [138 ^ _52226 : [(141 ^ _52226) ^ [] : [member(137 ^ [_56953, _56955], _56953)], (139 ^ _52226) ^ [] : [-(member(137 ^ [_56953, _56955], _56955))]], -(subset(_56955, _56953))], (169 ^ _52226) ^ [_58072, _58074] : [subset(_58074, _58072), -(member(_58074, power_set(_58072)))], (253 ^ _52226) ^ [_60924, _60926, _60928] : [254 ^ _52226 : [(257 ^ _52226) ^ [] : [_60928 = _60924], (255 ^ _52226) ^ [] : [_60928 = _60926]], -(member(_60928, unordered_pair(_60926, _60924)))], (270 ^ _52226) ^ [_61564, _61566] : [-(member(_61566, sum(_61564))), 271 ^ _52226 : [(272 ^ _52226) ^ [_61658] : [member(_61658, _61564), member(_61566, _61658)]]], (68 ^ _52226) ^ [_54514, _54516] : [_54516 = _54514, -(singleton(_54516) = singleton(_54514))], (280 ^ _52226) ^ [_61941, _61943] : [member(_61943, product(_61941)), 283 ^ _52226 : [(284 ^ _52226) ^ [_62082] : [member(_62082, _61941), -(member(_61943, _62082))]]], (20 ^ _52226) ^ [_53002, _53004, _53006, _53008] : [-(member(_53006, _53002)), member(_53008, _53004), _53008 = _53006, _53004 = _53002], (153 ^ _52226) ^ [_57576, _57578] : [-(equal_set(_57578, _57576)), subset(_57578, _57576), subset(_57576, _57578)], (211 ^ _52226) ^ [_59480] : [member(_59480, empty_set)], (84 ^ _52226) ^ [_55091, _55093] : [_55093 = _55091, -(sum(_55093) = sum(_55091))], (145 ^ _52226) ^ [_57339, _57341] : [equal_set(_57341, _57339), 148 ^ _52226 : [(151 ^ _52226) ^ [] : [-(subset(_57339, _57341))], (149 ^ _52226) ^ [] : [-(subset(_57341, _57339))]]], (261 ^ _52226) ^ [_61253, _61255] : [member(_61255, sum(_61253)), 265 ^ _52226 : [(268 ^ _52226) ^ [] : [-(member(_61255, 264 ^ [_61253, _61255]))], (266 ^ _52226) ^ [] : [-(member(264 ^ [_61253, _61255], _61253))]]], (90 ^ _52226) ^ [_55309, _55311] : [_55311 = _55309, -(product(_55311) = product(_55309))], (290 ^ _52226) ^ [_62259, _62261] : [292 ^ _52226 : [(295 ^ _52226) ^ [] : [member(_62261, 291 ^ [_62259, _62261])], (293 ^ _52226) ^ [] : [-(member(291 ^ [_62259, _62261], _62259))]], -(member(_62261, product(_62259)))], (163 ^ _52226) ^ [_57906, _57908] : [member(_57908, power_set(_57906)), -(subset(_57908, _57906))], (48 ^ _52226) ^ [_53870, _53872, _53874, _53876] : [-(equal_set(_53874, _53870)), equal_set(_53876, _53872), _53876 = _53874, _53872 = _53870], (34 ^ _52226) ^ [_53446, _53448, _53450, _53452] : [-(subset(_53450, _53446)), subset(_53452, _53448), _53452 = _53450, _53448 = _53446], (175 ^ _52226) ^ [_58331, _58333, _58335] : [member(_58335, intersection(_58333, _58331)), 178 ^ _52226 : [(181 ^ _52226) ^ [] : [-(member(_58335, _58331))], (179 ^ _52226) ^ [] : [-(member(_58335, _58333))]]], (10 ^ _52226) ^ [_52661, _52663, _52665] : [-(_52665 = _52661), _52665 = _52663, _52663 = _52661], (106 ^ _52226) ^ [_55914, _55916, _55918, _55920] : [-(intersection(_55920, _55916) = intersection(_55918, _55914)), _55920 = _55918, _55916 = _55914], (231 ^ _52226) ^ [_60231, _60233] : [member(_60233, singleton(_60231)), -(_60233 = _60231)], (213 ^ _52226) ^ [_59630, _59632, _59634] : [member(_59634, difference(_59630, _59632)), 216 ^ _52226 : [(219 ^ _52226) ^ [] : [member(_59634, _59632)], (217 ^ _52226) ^ [] : [-(member(_59634, _59630))]]]], input).
% 70.34/68.61  ncf('1',plain,[equal_set(difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))],start(306 ^ 0)).
% 70.34/68.61  ncf('1.1',plain,[-(equal_set(difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))), subset(difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))), subset(intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ [])))],extension(153 ^ 1,bind([[_57576, _57578], [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]))).
% 70.34/68.61  ncf('1.1.1',plain,[-(subset(difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))), 141 : member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))],extension(136 ^ 2,bind([[_56953, _56955], [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]))).
% 70.34/68.61  ncf('1.1.1.1',plain,[-(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))), member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], 298 ^ [])), member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], 299 ^ []))],extension(183 ^ 5,bind([[_58582, _58584, _58586], [difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ []), 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.1',plain,[-(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], 298 ^ []))), member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 300 ^ []), -(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 298 ^ []))],extension(221 ^ 6,bind([[_59882, _59884, _59886], [300 ^ [], 298 ^ [], 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.1.1',plain,[-(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 300 ^ [])), member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], union(300 ^ [], difference(300 ^ [], union(298 ^ [], 299 ^ [])))), -(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ []))))],extension(193 ^ 7,bind([[_58942, _58944, _58946], [difference(300 ^ [], union(298 ^ [], 299 ^ [])), 300 ^ [], 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.1.1.1',plain,[-(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], union(300 ^ [], difference(300 ^ [], union(298 ^ [], 299 ^ []))))), 207 : member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ [])))],extension(203 ^ 8,bind([[_59210, _59212, _59214], [difference(300 ^ [], union(298 ^ [], 299 ^ [])), 300 ^ [], 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.1.1.1.1',plain,[-(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ []))))],extension(139 ^ 11)).
% 70.34/68.61  ncf('1.1.1.1.1.1.2',plain,[member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ []))), 217 : -(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 300 ^ []))],extension(213 ^ 8,bind([[_59630, _59632, _59634], [300 ^ [], union(298 ^ [], 299 ^ []), 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.1.1.2.1',plain,[member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 300 ^ [])],reduction('1.1.1.1.1')).
% 70.34/68.61  ncf('1.1.1.1.1.2',plain,[member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 298 ^ []), -(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], union(298 ^ [], 299 ^ [])))],extension(203 ^ 7,bind([[_59210, _59212, _59214], [299 ^ [], 298 ^ [], 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.1.2.1',plain,[member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], union(298 ^ [], 299 ^ [])), member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ [])))],extension(213 ^ 8,bind([[_59630, _59632, _59634], [300 ^ [], union(298 ^ [], 299 ^ []), 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.1.2.1.1',plain,[-(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ []))))],extension(139 ^ 9)).
% 70.34/68.61  ncf('1.1.1.1.2',plain,[-(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], 299 ^ []))), member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 300 ^ []), -(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 299 ^ []))],extension(221 ^ 6,bind([[_59882, _59884, _59886], [300 ^ [], 299 ^ [], 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.2.1',plain,[-(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 300 ^ [])), member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], union(300 ^ [], difference(300 ^ [], union(298 ^ [], 299 ^ [])))), -(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ []))))],extension(193 ^ 7,bind([[_58942, _58944, _58946], [difference(300 ^ [], union(298 ^ [], 299 ^ [])), 300 ^ [], 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.2.1.1',plain,[-(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], union(300 ^ [], difference(300 ^ [], union(298 ^ [], 299 ^ []))))), 207 : member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ [])))],extension(203 ^ 8,bind([[_59210, _59212, _59214], [difference(300 ^ [], union(298 ^ [], 299 ^ [])), 300 ^ [], 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.2.1.1.1',plain,[-(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ []))))],extension(139 ^ 11)).
% 70.34/68.61  ncf('1.1.1.1.2.1.2',plain,[member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ []))), 217 : -(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 300 ^ []))],extension(213 ^ 8,bind([[_59630, _59632, _59634], [300 ^ [], union(298 ^ [], 299 ^ []), 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.2.1.2.1',plain,[member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 300 ^ [])],reduction('1.1.1.1.2')).
% 70.34/68.61  ncf('1.1.1.1.2.2',plain,[member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], 299 ^ []), -(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], union(298 ^ [], 299 ^ [])))],extension(203 ^ 7,bind([[_59210, _59212, _59214], [299 ^ [], 298 ^ [], 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.2.2.1',plain,[member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], union(298 ^ [], 299 ^ [])), member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ [])))],extension(213 ^ 8,bind([[_59630, _59632, _59634], [300 ^ [], union(298 ^ [], 299 ^ []), 137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.1.1.2.2.1.1',plain,[-(member(137 ^ [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ []))))],extension(139 ^ 9)).
% 70.34/68.61  ncf('1.1.2',plain,[-(subset(intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), difference(300 ^ [], union(298 ^ [], 299 ^ [])))), 141 : member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ [])))],extension(136 ^ 2,bind([[_56953, _56955], [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]))).
% 70.34/68.61  ncf('1.1.2.1',plain,[-(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], difference(300 ^ [], union(298 ^ [], 299 ^ [])))), member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], 300 ^ []), -(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], union(298 ^ [], 299 ^ [])))],extension(221 ^ 5,bind([[_59882, _59884, _59886], [300 ^ [], union(298 ^ [], 299 ^ []), 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.1',plain,[-(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], 300 ^ [])), member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], union(300 ^ [], intersection(intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))))), -(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))))],extension(193 ^ 6,bind([[_58942, _58944, _58946], [intersection(intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))), 300 ^ [], 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.1.1',plain,[-(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], union(300 ^ [], intersection(intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))))), 207 : member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))))],extension(203 ^ 7,bind([[_59210, _59212, _59214], [intersection(intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))), 300 ^ [], 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.1.1.1',plain,[-(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))))), member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))), member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))],extension(183 ^ 10,bind([[_58582, _58584, _58586], [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.1.1.1.1',plain,[-(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))))],extension(139 ^ 11)).
% 70.34/68.61  ncf('1.1.2.1.1.1.1.2',plain,[-(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))))],extension(139 ^ 11)).
% 70.34/68.61  ncf('1.1.2.1.1.2',plain,[member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))), 181 : -(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))))],extension(175 ^ 7,bind([[_58331, _58333, _58335], [intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])), 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.1.2.1',plain,[member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))), 181 : -(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], difference(300 ^ [], 299 ^ [])))],extension(175 ^ 10,bind([[_58331, _58333, _58335], [difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ []), 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.1.2.1.1',plain,[member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], difference(300 ^ [], 299 ^ [])), 217 : -(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], 300 ^ []))],extension(213 ^ 13,bind([[_59630, _59632, _59634], [300 ^ [], 299 ^ [], 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.1.2.1.1.1',plain,[member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], 300 ^ [])],reduction('1.1.2.1')).
% 70.34/68.61  ncf('1.1.2.1.2',plain,[member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], union(298 ^ [], 299 ^ [])), -(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], 298 ^ [])), -(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], 299 ^ []))],extension(193 ^ 6,bind([[_58942, _58944, _58946], [299 ^ [], 298 ^ [], 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.2.1',plain,[member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], 298 ^ []), member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], difference(300 ^ [], 298 ^ []))],extension(213 ^ 7,bind([[_59630, _59632, _59634], [300 ^ [], 298 ^ [], 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.2.1.1',plain,[-(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], difference(300 ^ [], 298 ^ []))), member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))],extension(175 ^ 8,bind([[_58331, _58333, _58335], [difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ []), 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.2.1.1.1',plain,[-(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))))],extension(139 ^ 9)).
% 70.34/68.61  ncf('1.1.2.1.2.2',plain,[member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], 299 ^ []), member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], difference(300 ^ [], 299 ^ []))],extension(213 ^ 7,bind([[_59630, _59632, _59634], [300 ^ [], 299 ^ [], 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.2.2.1',plain,[-(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], difference(300 ^ [], 299 ^ []))), member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])))],extension(175 ^ 8,bind([[_58331, _58333, _58335], [difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ []), 137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))]]]))).
% 70.34/68.61  ncf('1.1.2.1.2.2.1.1',plain,[-(member(137 ^ [difference(300 ^ [], union(298 ^ [], 299 ^ [])), intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))], intersection(difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []))))],extension(139 ^ 9)).
% 70.34/68.61  %-----------------------------------------------------
% 70.34/68.61  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------