TSTP Solution File: SET639+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET639+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 11:56:12 EDT 2023

% Result   : Theorem 0.37s 1.37s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET639+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n027.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 19:09:05 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.37/1.37  
% 0.37/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  ncf(matrix, plain, [(181 ^ _25776) ^ [] : [-(subset(178 ^ [], 179 ^ []))], (183 ^ _25776) ^ [] : [-(intersection(179 ^ [], 178 ^ []) = empty_set)], (185 ^ _25776) ^ [] : [178 ^ [] = empty_set], (58 ^ _25776) ^ [_27725, _27727, _27729, _27731] : [-(intersection(_27731, _27727) = intersection(_27729, _27725)), _27731 = _27729, _27727 = _27725], (2 ^ _25776) ^ [_25920] : [-(_25920 = _25920)], (4 ^ _25776) ^ [_26027, _26029] : [_26029 = _26027, -(_26027 = _26029)], (10 ^ _25776) ^ [_26231, _26233, _26235] : [-(_26235 = _26231), _26235 = _26233, _26233 = _26231], (20 ^ _25776) ^ [_26544, _26546] : [-(empty(_26544)), _26546 = _26544, empty(_26546)], (30 ^ _25776) ^ [_26867, _26869, _26871, _26873] : [-(member(_26871, _26867)), member(_26873, _26869), _26873 = _26871, _26869 = _26867], (44 ^ _25776) ^ [_27291, _27293, _27295, _27297] : [-(subset(_27295, _27291)), subset(_27297, _27293), _27297 = _27295, _27293 = _27291], (68 ^ _25776) ^ [_28058, _28060] : [subset(_28060, _28058), -(intersection(_28060, _28058) = _28060)], (74 ^ _25776) ^ [_28244] : [member(_28244, empty_set)], (76 ^ _25776) ^ [_28394, _28396, _28398] : [member(_28394, intersection(_28398, _28396)), 79 ^ _25776 : [(80 ^ _25776) ^ [] : [-(member(_28394, _28398))], (82 ^ _25776) ^ [] : [-(member(_28394, _28396))]]], (84 ^ _25776) ^ [_28645, _28647, _28649] : [-(member(_28645, intersection(_28649, _28647))), member(_28645, _28649), member(_28645, _28647)], (104 ^ _25776) ^ [_29305, _29307] : [106 ^ _25776 : [(107 ^ _25776) ^ [] : [-(member(105 ^ [_29305, _29307], _29307))], (109 ^ _25776) ^ [] : [member(105 ^ [_29305, _29307], _29305)]], -(subset(_29307, _29305))], (94 ^ _25776) ^ [_28991, _28993] : [subset(_28993, _28991), 97 ^ _25776 : [(98 ^ _25776) ^ [_29128] : [member(_29128, _28993), -(member(_29128, _28991))]]], (113 ^ _25776) ^ [_29691, _29693] : [_29693 = _29691, 116 ^ _25776 : [(117 ^ _25776) ^ [] : [-(subset(_29693, _29691))], (119 ^ _25776) ^ [] : [-(subset(_29691, _29693))]]], (121 ^ _25776) ^ [_29928, _29930] : [-(_29930 = _29928), subset(_29930, _29928), subset(_29928, _29930)], (131 ^ _25776) ^ [_30214, _30216] : [-(intersection(_30216, _30214) = intersection(_30214, _30216))], (133 ^ _25776) ^ [_30300] : [-(subset(_30300, _30300))], (135 ^ _25776) ^ [_30422] : [empty(_30422), 138 ^ _25776 : [(139 ^ _25776) ^ [_30533] : [member(_30533, _30422)]]], (141 ^ _25776) ^ [_30599] : [-(member(142 ^ [_30599], _30599)), -(empty(_30599))], (164 ^ _25776) ^ [_31385, _31387] : [-(_31387 = _31385), 168 ^ _25776 : [(169 ^ _25776) ^ [] : [-(member(165 ^ [_31385, _31387], _31387))], (171 ^ _25776) ^ [] : [member(165 ^ [_31385, _31387], _31385)]], 172 ^ _25776 : [(173 ^ _25776) ^ [] : [-(member(165 ^ [_31385, _31387], _31385))], (175 ^ _25776) ^ [] : [member(165 ^ [_31385, _31387], _31387)]]], (148 ^ _25776) ^ [_30868, _30870] : [_30870 = _30868, 151 ^ _25776 : [(152 ^ _25776) ^ [_31034] : [member(_31034, _30870), -(member(_31034, _30868))], (158 ^ _25776) ^ [_31206] : [member(_31206, _30868), -(member(_31206, _30870))]]]], input).
% 0.37/1.37  ncf('1',plain,[empty(intersection(179 ^ [], 178 ^ [])), 139 : member(165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])], intersection(179 ^ [], 178 ^ []))],start(135 ^ 0,bind([[_30422, _30533], [intersection(179 ^ [], 178 ^ []), 165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])]]]))).
% 0.37/1.37  ncf('1.1',plain,[-(empty(intersection(179 ^ [], 178 ^ []))), -(member(142 ^ [intersection(179 ^ [], 178 ^ [])], intersection(179 ^ [], 178 ^ [])))],extension(141 ^ 1,bind([[_30599], [intersection(179 ^ [], 178 ^ [])]]))).
% 0.37/1.37  ncf('1.1.1',plain,[member(142 ^ [intersection(179 ^ [], 178 ^ [])], intersection(179 ^ [], 178 ^ [])), -(member(142 ^ [intersection(179 ^ [], 178 ^ [])], empty_set)), 142 ^ [intersection(179 ^ [], 178 ^ [])] = 142 ^ [intersection(179 ^ [], 178 ^ [])], intersection(179 ^ [], 178 ^ []) = empty_set],extension(30 ^ 2,bind([[_26867, _26869, _26871, _26873], [empty_set, intersection(179 ^ [], 178 ^ []), 142 ^ [intersection(179 ^ [], 178 ^ [])], 142 ^ [intersection(179 ^ [], 178 ^ [])]]]))).
% 0.37/1.37  ncf('1.1.1.1',plain,[member(142 ^ [intersection(179 ^ [], 178 ^ [])], empty_set)],extension(74 ^ 3,bind([[_28244], [142 ^ [intersection(179 ^ [], 178 ^ [])]]]))).
% 0.37/1.37  ncf('1.1.1.2',plain,[-(142 ^ [intersection(179 ^ [], 178 ^ [])] = 142 ^ [intersection(179 ^ [], 178 ^ [])])],extension(2 ^ 3,bind([[_25920], [142 ^ [intersection(179 ^ [], 178 ^ [])]]]))).
% 0.37/1.37  ncf('1.1.1.3',plain,[-(intersection(179 ^ [], 178 ^ []) = empty_set)],extension(183 ^ 3)).
% 0.37/1.37  ncf('1.2',plain,[-(member(165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])], intersection(179 ^ [], 178 ^ []))), -(intersection(179 ^ [], 178 ^ []) = 178 ^ []), 173 : -(member(165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])], 178 ^ []))],extension(164 ^ 3,bind([[_31385, _31387], [178 ^ [], intersection(179 ^ [], 178 ^ [])]]))).
% 0.37/1.37  ncf('1.2.1',plain,[intersection(179 ^ [], 178 ^ []) = 178 ^ [], -(178 ^ [] = intersection(179 ^ [], 178 ^ []))],extension(4 ^ 4,bind([[_26027, _26029], [178 ^ [], intersection(179 ^ [], 178 ^ [])]]))).
% 0.37/1.37  ncf('1.2.1.1',plain,[178 ^ [] = intersection(179 ^ [], 178 ^ []), -(178 ^ [] = empty_set), intersection(179 ^ [], 178 ^ []) = empty_set],extension(10 ^ 5,bind([[_26231, _26233, _26235], [empty_set, intersection(179 ^ [], 178 ^ []), 178 ^ []]]))).
% 0.37/1.37  ncf('1.2.1.1.1',plain,[178 ^ [] = empty_set],extension(185 ^ 6)).
% 0.37/1.37  ncf('1.2.1.1.2',plain,[-(intersection(179 ^ [], 178 ^ []) = empty_set)],extension(183 ^ 6)).
% 0.37/1.37  ncf('1.2.2',plain,[member(165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])], 178 ^ []), -(member(165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])], intersection(179 ^ [], 178 ^ []))), member(165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])], 179 ^ [])],extension(84 ^ 6,bind([[_28645, _28647, _28649], [165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])], 178 ^ [], 179 ^ []]]))).
% 0.37/1.37  ncf('1.2.2.1',plain,[member(165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])], intersection(179 ^ [], 178 ^ []))],reduction('1')).
% 0.37/1.37  ncf('1.2.2.2',plain,[-(member(165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])], 179 ^ [])), 98 : member(165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])], 178 ^ []), 98 : subset(178 ^ [], 179 ^ [])],extension(94 ^ 7,bind([[_28991, _28993, _29128], [179 ^ [], 178 ^ [], 165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])]]]))).
% 0.37/1.37  ncf('1.2.2.2.1',plain,[-(member(165 ^ [178 ^ [], intersection(179 ^ [], 178 ^ [])], 178 ^ []))],reduction('1.2')).
% 0.37/1.37  ncf('1.2.2.2.2',plain,[-(subset(178 ^ [], 179 ^ []))],extension(181 ^ 8)).
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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