TSTP Solution File: SET591+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET591+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 11:56:03 EDT 2023

% Result   : Theorem 0.32s 1.37s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET591+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n008.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 19:07:09 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(142 ^ _20616) ^ [] : [-(subset(139 ^ [], difference(140 ^ [], 139 ^ [])))], (144 ^ _20616) ^ [] : [139 ^ [] = empty_set], (58 ^ _20616) ^ [_22565, _22567, _22569, _22571] : [-(difference(_22571, _22567) = difference(_22569, _22565)), _22571 = _22569, _22567 = _22565], (2 ^ _20616) ^ [_20760] : [-(_20760 = _20760)], (4 ^ _20616) ^ [_20867, _20869] : [_20869 = _20867, -(_20867 = _20869)], (10 ^ _20616) ^ [_21071, _21073, _21075] : [-(_21075 = _21071), _21075 = _21073, _21073 = _21071], (20 ^ _20616) ^ [_21384, _21386] : [-(empty(_21384)), _21386 = _21384, empty(_21386)], (30 ^ _20616) ^ [_21707, _21709, _21711, _21713] : [-(member(_21711, _21707)), member(_21713, _21709), _21713 = _21711, _21709 = _21707], (44 ^ _20616) ^ [_22131, _22133, _22135, _22137] : [-(subset(_22135, _22131)), subset(_22137, _22133), _22137 = _22135, _22133 = _22131], (78 ^ _20616) ^ [_23241, _23243] : [80 ^ _20616 : [(81 ^ _20616) ^ [] : [-(member(79 ^ [_23241, _23243], _23243))], (83 ^ _20616) ^ [] : [member(79 ^ [_23241, _23243], _23241)]], -(subset(_23243, _23241))], (68 ^ _20616) ^ [_22927, _22929] : [subset(_22929, _22927), 71 ^ _20616 : [(72 ^ _20616) ^ [_23064] : [member(_23064, _22929), -(member(_23064, _22927))]]], (87 ^ _20616) ^ [_23641, _23643, _23645] : [member(_23641, difference(_23645, _23643)), 90 ^ _20616 : [(91 ^ _20616) ^ [] : [-(member(_23641, _23645))], (93 ^ _20616) ^ [] : [member(_23641, _23643)]]], (95 ^ _20616) ^ [_23893, _23895, _23897] : [-(member(_23893, difference(_23897, _23895))), member(_23893, _23897), -(member(_23893, _23895))], (105 ^ _20616) ^ [_24183] : [member(_24183, empty_set)], (125 ^ _20616) ^ [_24828] : [-(subset(_24828, _24828))], (127 ^ _20616) ^ [_24930] : [empty(_24930), 130 ^ _20616 : [(131 ^ _20616) ^ [_25041] : [member(_25041, _24930)]]], (133 ^ _20616) ^ [_25107] : [-(member(134 ^ [_25107], _25107)), -(empty(_25107))], (107 ^ _20616) ^ [_24319, _24321] : [_24321 = _24319, 110 ^ _20616 : [(111 ^ _20616) ^ [] : [-(subset(_24321, _24319))], (113 ^ _20616) ^ [] : [-(subset(_24319, _24321))]]], (115 ^ _20616) ^ [_24556, _24558] : [-(_24558 = _24556), subset(_24558, _24556), subset(_24556, _24558)]], input).
% 0.32/1.37  ncf('1',plain,[139 ^ [] = empty_set],start(144 ^ 0)).
% 0.32/1.37  ncf('1.1',plain,[-(139 ^ [] = empty_set), subset(139 ^ [], empty_set), subset(empty_set, 139 ^ [])],extension(115 ^ 1,bind([[_24556, _24558], [empty_set, 139 ^ []]]))).
% 0.32/1.37  ncf('1.1.1',plain,[-(subset(139 ^ [], empty_set)), 81 : -(member(79 ^ [empty_set, 139 ^ []], 139 ^ []))],extension(78 ^ 2,bind([[_23241, _23243], [empty_set, 139 ^ []]]))).
% 0.32/1.37  ncf('1.1.1.1',plain,[member(79 ^ [empty_set, 139 ^ []], 139 ^ []), member(79 ^ [empty_set, 139 ^ []], difference(140 ^ [], 139 ^ []))],extension(87 ^ 5,bind([[_23641, _23643, _23645], [79 ^ [empty_set, 139 ^ []], 139 ^ [], 140 ^ []]]))).
% 0.32/1.37  ncf('1.1.1.1.1',plain,[-(member(79 ^ [empty_set, 139 ^ []], difference(140 ^ [], 139 ^ []))), 72 : member(79 ^ [empty_set, 139 ^ []], 139 ^ []), 72 : subset(139 ^ [], difference(140 ^ [], 139 ^ []))],extension(68 ^ 6,bind([[_22927, _22929, _23064], [difference(140 ^ [], 139 ^ []), 139 ^ [], 79 ^ [empty_set, 139 ^ []]]]))).
% 0.32/1.37  ncf('1.1.1.1.1.1',plain,[-(member(79 ^ [empty_set, 139 ^ []], 139 ^ []))],reduction('1.1.1')).
% 0.32/1.37  ncf('1.1.1.1.1.2',plain,[-(subset(139 ^ [], difference(140 ^ [], 139 ^ [])))],extension(142 ^ 7)).
% 0.32/1.37  ncf('1.1.2',plain,[-(subset(empty_set, 139 ^ [])), 81 : -(member(79 ^ [139 ^ [], empty_set], empty_set))],extension(78 ^ 2,bind([[_23241, _23243], [139 ^ [], empty_set]]))).
% 0.32/1.37  ncf('1.1.2.1',plain,[member(79 ^ [139 ^ [], empty_set], empty_set)],extension(105 ^ 5,bind([[_24183], [79 ^ [139 ^ [], empty_set]]]))).
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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