TSTP Solution File: SET630+3 by nanoCoP---2.0

View Problem - Process Solution

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% File     : nanoCoP---2.0
% Problem  : SET630+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 11:56:10 EDT 2023

% Result   : Theorem 11.44s 11.70s
% Output   : Proof 11.44s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET630+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n024.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 19:09:06 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 11.44/11.70  
% 11.44/11.70  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 11.44/11.70  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.44/11.70  %-----------------------------------------------------
% 11.44/11.70  ncf(matrix, plain, [(218 ^ _34493) ^ [] : [disjoint(intersection(215 ^ [], 216 ^ []), symmetric_difference(215 ^ [], 216 ^ []))], (102 ^ _34493) ^ [_37998, _38000] : [-(symmetric_difference(_38000, _37998) = union(difference(_38000, _37998), difference(_37998, _38000)))], (114 ^ _34493) ^ [_38430, _38432, _38434] : [115 ^ _34493 : [(116 ^ _34493) ^ [] : [intersect(_38434, _38432)], (118 ^ _34493) ^ [] : [intersect(_38434, _38430)]], -(intersect(_38434, union(_38432, _38430)))], (104 ^ _34493) ^ [_38162, _38164, _38166] : [intersect(_38166, union(_38164, _38162)), -(intersect(_38166, _38164)), -(intersect(_38166, _38162))], (122 ^ _34493) ^ [_38715, _38717] : [-(disjoint(intersection(_38717, _38715), difference(_38717, _38715)))], (124 ^ _34493) ^ [_38873, _38875, _38877] : [member(_38873, intersection(_38877, _38875)), 127 ^ _34493 : [(128 ^ _34493) ^ [] : [-(member(_38873, _38877))], (130 ^ _34493) ^ [] : [-(member(_38873, _38875))]]], (132 ^ _34493) ^ [_39124, _39126, _39128] : [-(member(_39124, intersection(_39128, _39126))), member(_39124, _39128), member(_39124, _39126)], (142 ^ _34493) ^ [_39470, _39472] : [intersect(_39472, _39470), 146 ^ _34493 : [(147 ^ _34493) ^ [] : [-(member(145 ^ [_39470, _39472], _39472))], (149 ^ _34493) ^ [] : [-(member(145 ^ [_39470, _39472], _39470))]]], (151 ^ _34493) ^ [_39777, _39779] : [-(intersect(_39779, _39777)), 152 ^ _34493 : [(153 ^ _34493) ^ [_39869] : [member(_39869, _39779), member(_39869, _39777)]]], (161 ^ _34493) ^ [_40170, _40172] : [disjoint(_40172, _40170), intersect(_40172, _40170)], (167 ^ _34493) ^ [_40333, _40335] : [-(intersect(_40335, _40333)), -(disjoint(_40335, _40333))], (173 ^ _34493) ^ [_40533, _40535] : [-(union(_40535, _40533) = union(_40533, _40535))], (175 ^ _34493) ^ [_40633, _40635] : [-(intersection(_40635, _40633) = intersection(_40633, _40635))], (177 ^ _34493) ^ [_40733, _40735] : [-(symmetric_difference(_40735, _40733) = symmetric_difference(_40733, _40735))], (179 ^ _34493) ^ [_40848, _40850] : [intersect(_40850, _40848), -(intersect(_40848, _40850))], (201 ^ _34493) ^ [_41584, _41586] : [-(_41586 = _41584), 205 ^ _34493 : [(206 ^ _34493) ^ [] : [-(member(202 ^ [_41584, _41586], _41586))], (208 ^ _34493) ^ [] : [member(202 ^ [_41584, _41586], _41584)]], 209 ^ _34493 : [(210 ^ _34493) ^ [] : [-(member(202 ^ [_41584, _41586], _41584))], (212 ^ _34493) ^ [] : [member(202 ^ [_41584, _41586], _41586)]]], (185 ^ _34493) ^ [_41067, _41069] : [_41069 = _41067, 188 ^ _34493 : [(189 ^ _34493) ^ [_41233] : [member(_41233, _41069), -(member(_41233, _41067))], (195 ^ _34493) ^ [_41405] : [member(_41405, _41067), -(member(_41405, _41069))]]], (62 ^ _34493) ^ [_36611, _36613, _36615, _36617] : [-(difference(_36617, _36613) = difference(_36615, _36611)), _36617 = _36615, _36613 = _36611], (72 ^ _34493) ^ [_36970, _36972, _36974, _36976] : [-(union(_36976, _36972) = union(_36974, _36970)), _36976 = _36974, _36972 = _36970], (82 ^ _34493) ^ [_37329, _37331, _37333, _37335] : [-(intersection(_37335, _37331) = intersection(_37333, _37329)), _37335 = _37333, _37331 = _37329], (92 ^ _34493) ^ [_37668, _37670, _37672, _37674] : [-(symmetric_difference(_37674, _37670) = symmetric_difference(_37672, _37668)), _37674 = _37672, _37670 = _37668], (2 ^ _34493) ^ [_34637] : [-(_34637 = _34637)], (4 ^ _34493) ^ [_34744, _34746] : [_34746 = _34744, -(_34744 = _34746)], (10 ^ _34493) ^ [_34948, _34950, _34952] : [-(_34952 = _34948), _34952 = _34950, _34950 = _34948], (20 ^ _34493) ^ [_35289, _35291, _35293, _35295] : [-(intersect(_35293, _35289)), intersect(_35295, _35291), _35295 = _35293, _35291 = _35289], (34 ^ _34493) ^ [_35733, _35735, _35737, _35739] : [-(member(_35737, _35733)), member(_35739, _35735), _35739 = _35737, _35735 = _35733], (48 ^ _34493) ^ [_36157, _36159, _36161, _36163] : [-(disjoint(_36161, _36157)), disjoint(_36163, _36159), _36163 = _36161, _36159 = _36157]], input).
% 11.44/11.70  ncf('1',plain,[disjoint(intersection(216 ^ [], 215 ^ []), difference(215 ^ [], 216 ^ [])), intersect(intersection(216 ^ [], 215 ^ []), difference(215 ^ [], 216 ^ []))],start(161 ^ 0,bind([[_40170, _40172], [difference(215 ^ [], 216 ^ []), intersection(216 ^ [], 215 ^ [])]]))).
% 11.44/11.70  ncf('1.1',plain,[-(disjoint(intersection(216 ^ [], 215 ^ []), difference(215 ^ [], 216 ^ []))), disjoint(intersection(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])), intersection(215 ^ [], 216 ^ []) = intersection(216 ^ [], 215 ^ []), difference(215 ^ [], 216 ^ []) = difference(215 ^ [], 216 ^ [])],extension(48 ^ 1,bind([[_36157, _36159, _36161, _36163], [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ []), intersection(216 ^ [], 215 ^ []), intersection(215 ^ [], 216 ^ [])]]))).
% 11.44/11.70  ncf('1.1.1',plain,[-(disjoint(intersection(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])))],extension(122 ^ 2,bind([[_38715, _38717], [216 ^ [], 215 ^ []]]))).
% 11.44/11.70  ncf('1.1.2',plain,[-(intersection(215 ^ [], 216 ^ []) = intersection(216 ^ [], 215 ^ []))],extension(175 ^ 2,bind([[_40633, _40635], [216 ^ [], 215 ^ []]]))).
% 11.44/11.70  ncf('1.1.3',plain,[-(difference(215 ^ [], 216 ^ []) = difference(215 ^ [], 216 ^ [])), 206 : -(member(202 ^ [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])], difference(215 ^ [], 216 ^ []))), 210 : -(member(202 ^ [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])], difference(215 ^ [], 216 ^ [])))],extension(201 ^ 2,bind([[_41584, _41586], [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])]]))).
% 11.44/11.70  ncf('1.1.3.1',plain,[member(202 ^ [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])], difference(215 ^ [], 216 ^ []))],extension(208 ^ 5)).
% 11.44/11.70  ncf('1.1.3.2',plain,[member(202 ^ [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])], difference(215 ^ [], 216 ^ []))],extension(212 ^ 5)).
% 11.44/11.70  ncf('1.2',plain,[-(intersect(intersection(216 ^ [], 215 ^ []), difference(215 ^ [], 216 ^ []))), intersect(intersection(216 ^ [], 215 ^ []), union(difference(215 ^ [], 216 ^ []), difference(216 ^ [], 215 ^ []))), -(intersect(intersection(216 ^ [], 215 ^ []), difference(216 ^ [], 215 ^ [])))],extension(104 ^ 1,bind([[_38162, _38164, _38166], [difference(216 ^ [], 215 ^ []), difference(215 ^ [], 216 ^ []), intersection(216 ^ [], 215 ^ [])]]))).
% 11.44/11.70  ncf('1.2.1',plain,[-(intersect(intersection(216 ^ [], 215 ^ []), union(difference(215 ^ [], 216 ^ []), difference(216 ^ [], 215 ^ [])))), intersect(intersection(215 ^ [], 216 ^ []), symmetric_difference(215 ^ [], 216 ^ [])), intersection(215 ^ [], 216 ^ []) = intersection(216 ^ [], 215 ^ []), symmetric_difference(215 ^ [], 216 ^ []) = union(difference(215 ^ [], 216 ^ []), difference(216 ^ [], 215 ^ []))],extension(20 ^ 2,bind([[_35289, _35291, _35293, _35295], [union(difference(215 ^ [], 216 ^ []), difference(216 ^ [], 215 ^ [])), symmetric_difference(215 ^ [], 216 ^ []), intersection(216 ^ [], 215 ^ []), intersection(215 ^ [], 216 ^ [])]]))).
% 11.44/11.70  ncf('1.2.1.1',plain,[-(intersect(intersection(215 ^ [], 216 ^ []), symmetric_difference(215 ^ [], 216 ^ []))), -(disjoint(intersection(215 ^ [], 216 ^ []), symmetric_difference(215 ^ [], 216 ^ [])))],extension(167 ^ 3,bind([[_40333, _40335], [symmetric_difference(215 ^ [], 216 ^ []), intersection(215 ^ [], 216 ^ [])]]))).
% 11.44/11.70  ncf('1.2.1.1.1',plain,[disjoint(intersection(215 ^ [], 216 ^ []), symmetric_difference(215 ^ [], 216 ^ []))],extension(218 ^ 4)).
% 11.44/11.70  ncf('1.2.1.2',plain,[-(intersection(215 ^ [], 216 ^ []) = intersection(216 ^ [], 215 ^ []))],extension(175 ^ 3,bind([[_40633, _40635], [216 ^ [], 215 ^ []]]))).
% 11.44/11.70  ncf('1.2.1.3',plain,[-(symmetric_difference(215 ^ [], 216 ^ []) = union(difference(215 ^ [], 216 ^ []), difference(216 ^ [], 215 ^ [])))],extension(102 ^ 3,bind([[_37998, _38000], [216 ^ [], 215 ^ []]]))).
% 11.44/11.70  ncf('1.2.2',plain,[intersect(intersection(216 ^ [], 215 ^ []), difference(216 ^ [], 215 ^ [])), disjoint(intersection(216 ^ [], 215 ^ []), difference(216 ^ [], 215 ^ []))],extension(161 ^ 2,bind([[_40170, _40172], [difference(216 ^ [], 215 ^ []), intersection(216 ^ [], 215 ^ [])]]))).
% 11.44/11.70  ncf('1.2.2.1',plain,[-(disjoint(intersection(216 ^ [], 215 ^ []), difference(216 ^ [], 215 ^ [])))],extension(122 ^ 3,bind([[_38715, _38717], [215 ^ [], 216 ^ []]]))).
% 11.44/11.70  %-----------------------------------------------------
% 11.44/11.70  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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