TSTP Solution File: SET585+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET585+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.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 11:56:02 EDT 2023

% Result   : Theorem 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET585+3 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n031.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 19:28:40 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(177 ^ _26450) ^ [] : [subset(intersection(173 ^ [], 174 ^ []), union(173 ^ [], 175 ^ []))], (48 ^ _26450) ^ [_28122, _28124, _28126, _28128] : [-(intersection(_28128, _28124) = intersection(_28126, _28122)), _28128 = _28126, _28124 = _28122], (58 ^ _26450) ^ [_28461, _28463, _28465, _28467] : [-(union(_28467, _28463) = union(_28465, _28461)), _28467 = _28465, _28463 = _28461], (2 ^ _26450) ^ [_26594] : [-(_26594 = _26594)], (4 ^ _26450) ^ [_26701, _26703] : [_26703 = _26701, -(_26701 = _26703)], (10 ^ _26450) ^ [_26905, _26907, _26909] : [-(_26909 = _26905), _26909 = _26907, _26907 = _26905], (20 ^ _26450) ^ [_27246, _27248, _27250, _27252] : [-(member(_27250, _27246)), member(_27252, _27248), _27252 = _27250, _27248 = _27246], (34 ^ _26450) ^ [_27670, _27672, _27674, _27676] : [-(subset(_27674, _27670)), subset(_27676, _27672), _27676 = _27674, _27672 = _27670], (68 ^ _26450) ^ [_28812, _28814, _28816] : [-(subset(_28816, _28812)), subset(_28816, _28814), subset(_28814, _28812)], (78 ^ _26450) ^ [_29106, _29108] : [-(subset(_29108, union(_29108, _29106)))], (80 ^ _26450) ^ [_29203, _29205] : [-(subset(intersection(_29205, _29203), _29205))], (92 ^ _26450) ^ [_29626, _29628, _29630] : [93 ^ _26450 : [(94 ^ _26450) ^ [] : [member(_29626, _29630)], (96 ^ _26450) ^ [] : [member(_29626, _29628)]], -(member(_29626, union(_29630, _29628)))], (82 ^ _26450) ^ [_29358, _29360, _29362] : [member(_29358, union(_29362, _29360)), -(member(_29358, _29362)), -(member(_29358, _29360))], (100 ^ _26450) ^ [_29969, _29971, _29973] : [member(_29969, intersection(_29973, _29971)), 103 ^ _26450 : [(104 ^ _26450) ^ [] : [-(member(_29969, _29973))], (106 ^ _26450) ^ [] : [-(member(_29969, _29971))]]], (108 ^ _26450) ^ [_30220, _30222, _30224] : [-(member(_30220, intersection(_30224, _30222))), member(_30220, _30224), member(_30220, _30222)], (128 ^ _26450) ^ [_30880, _30882] : [130 ^ _26450 : [(131 ^ _26450) ^ [] : [-(member(129 ^ [_30880, _30882], _30882))], (133 ^ _26450) ^ [] : [member(129 ^ [_30880, _30882], _30880)]], -(subset(_30882, _30880))], (118 ^ _26450) ^ [_30566, _30568] : [subset(_30568, _30566), 121 ^ _26450 : [(122 ^ _26450) ^ [_30703] : [member(_30703, _30568), -(member(_30703, _30566))]]], (137 ^ _26450) ^ [_31222, _31224] : [-(union(_31224, _31222) = union(_31222, _31224))], (139 ^ _26450) ^ [_31322, _31324] : [-(intersection(_31324, _31322) = intersection(_31322, _31324))], (141 ^ _26450) ^ [_31408] : [-(subset(_31408, _31408))], (159 ^ _26450) ^ [_32041, _32043] : [-(_32043 = _32041), 163 ^ _26450 : [(164 ^ _26450) ^ [] : [-(member(160 ^ [_32041, _32043], _32043))], (166 ^ _26450) ^ [] : [member(160 ^ [_32041, _32043], _32041)]], 167 ^ _26450 : [(168 ^ _26450) ^ [] : [-(member(160 ^ [_32041, _32043], _32041))], (170 ^ _26450) ^ [] : [member(160 ^ [_32041, _32043], _32043)]]], (143 ^ _26450) ^ [_31524, _31526] : [_31526 = _31524, 146 ^ _26450 : [(147 ^ _26450) ^ [_31690] : [member(_31690, _31526), -(member(_31690, _31524))], (153 ^ _26450) ^ [_31862] : [member(_31862, _31524), -(member(_31862, _31526))]]]], input).
% 0.35/1.37  ncf('1',plain,[subset(intersection(173 ^ [], 174 ^ []), union(173 ^ [], 175 ^ []))],start(177 ^ 0)).
% 0.35/1.37  ncf('1.1',plain,[-(subset(intersection(173 ^ [], 174 ^ []), union(173 ^ [], 175 ^ []))), 131 : -(member(129 ^ [union(173 ^ [], 175 ^ []), intersection(173 ^ [], 174 ^ [])], intersection(173 ^ [], 174 ^ [])))],extension(128 ^ 1,bind([[_30880, _30882], [union(173 ^ [], 175 ^ []), intersection(173 ^ [], 174 ^ [])]]))).
% 0.35/1.37  ncf('1.1.1',plain,[member(129 ^ [union(173 ^ [], 175 ^ []), intersection(173 ^ [], 174 ^ [])], intersection(173 ^ [], 174 ^ [])), 104 : -(member(129 ^ [union(173 ^ [], 175 ^ []), intersection(173 ^ [], 174 ^ [])], 173 ^ []))],extension(100 ^ 4,bind([[_29969, _29971, _29973], [129 ^ [union(173 ^ [], 175 ^ []), intersection(173 ^ [], 174 ^ [])], 174 ^ [], 173 ^ []]]))).
% 0.35/1.37  ncf('1.1.1.1',plain,[member(129 ^ [union(173 ^ [], 175 ^ []), intersection(173 ^ [], 174 ^ [])], 173 ^ []), -(member(129 ^ [union(173 ^ [], 175 ^ []), intersection(173 ^ [], 174 ^ [])], union(173 ^ [], 175 ^ [])))],extension(92 ^ 7,bind([[_29626, _29628, _29630], [129 ^ [union(173 ^ [], 175 ^ []), intersection(173 ^ [], 174 ^ [])], 175 ^ [], 173 ^ []]]))).
% 0.35/1.37  ncf('1.1.1.1.1',plain,[member(129 ^ [union(173 ^ [], 175 ^ []), intersection(173 ^ [], 174 ^ [])], union(173 ^ [], 175 ^ []))],extension(133 ^ 8)).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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