TSTP Solution File: SET173+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET173+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 11:55:32 EDT 2023

% Result   : Theorem 0.34s 1.39s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET173+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 19:29:57 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.34/1.39  
% 0.34/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  ncf(matrix, plain, [(180 ^ _25698) ^ [] : [intersection(177 ^ [], union(177 ^ [], 178 ^ [])) = 177 ^ []], (48 ^ _25698) ^ [_27370, _27372, _27374, _27376] : [-(intersection(_27376, _27372) = intersection(_27374, _27370)), _27376 = _27374, _27372 = _27370], (58 ^ _25698) ^ [_27709, _27711, _27713, _27715] : [-(union(_27715, _27711) = union(_27713, _27709)), _27715 = _27713, _27711 = _27709], (2 ^ _25698) ^ [_25842] : [-(_25842 = _25842)], (4 ^ _25698) ^ [_25949, _25951] : [_25951 = _25949, -(_25949 = _25951)], (10 ^ _25698) ^ [_26153, _26155, _26157] : [-(_26157 = _26153), _26157 = _26155, _26155 = _26153], (20 ^ _25698) ^ [_26494, _26496, _26498, _26500] : [-(subset(_26498, _26494)), subset(_26500, _26496), _26500 = _26498, _26496 = _26494], (34 ^ _25698) ^ [_26918, _26920, _26922, _26924] : [-(member(_26922, _26918)), member(_26924, _26920), _26924 = _26922, _26920 = _26918], (78 ^ _25698) ^ [_28357, _28359, _28361] : [79 ^ _25698 : [(80 ^ _25698) ^ [] : [member(_28357, _28361)], (82 ^ _25698) ^ [] : [member(_28357, _28359)]], -(member(_28357, union(_28361, _28359)))], (68 ^ _25698) ^ [_28089, _28091, _28093] : [member(_28089, union(_28093, _28091)), -(member(_28089, _28093)), -(member(_28089, _28091))], (86 ^ _25698) ^ [_28700, _28702, _28704] : [member(_28700, intersection(_28704, _28702)), 89 ^ _25698 : [(90 ^ _25698) ^ [] : [-(member(_28700, _28704))], (92 ^ _25698) ^ [] : [-(member(_28700, _28702))]]], (94 ^ _25698) ^ [_28951, _28953, _28955] : [-(member(_28951, intersection(_28955, _28953))), member(_28951, _28955), member(_28951, _28953)], (104 ^ _25698) ^ [_29297, _29299] : [_29299 = _29297, 107 ^ _25698 : [(108 ^ _25698) ^ [] : [-(subset(_29299, _29297))], (110 ^ _25698) ^ [] : [-(subset(_29297, _29299))]]], (112 ^ _25698) ^ [_29534, _29536] : [-(_29536 = _29534), subset(_29536, _29534), subset(_29534, _29536)], (122 ^ _25698) ^ [_29820, _29822] : [-(union(_29822, _29820) = union(_29820, _29822))], (124 ^ _25698) ^ [_29920, _29922] : [-(intersection(_29922, _29920) = intersection(_29920, _29922))], (136 ^ _25698) ^ [_30378, _30380] : [138 ^ _25698 : [(139 ^ _25698) ^ [] : [-(member(137 ^ [_30378, _30380], _30380))], (141 ^ _25698) ^ [] : [member(137 ^ [_30378, _30380], _30378)]], -(subset(_30380, _30378))], (126 ^ _25698) ^ [_30064, _30066] : [subset(_30066, _30064), 129 ^ _25698 : [(130 ^ _25698) ^ [_30201] : [member(_30201, _30066), -(member(_30201, _30064))]]], (145 ^ _25698) ^ [_30706] : [-(subset(_30706, _30706))], (163 ^ _25698) ^ [_31339, _31341] : [-(_31341 = _31339), 167 ^ _25698 : [(168 ^ _25698) ^ [] : [-(member(164 ^ [_31339, _31341], _31341))], (170 ^ _25698) ^ [] : [member(164 ^ [_31339, _31341], _31339)]], 171 ^ _25698 : [(172 ^ _25698) ^ [] : [-(member(164 ^ [_31339, _31341], _31339))], (174 ^ _25698) ^ [] : [member(164 ^ [_31339, _31341], _31341)]]], (147 ^ _25698) ^ [_30822, _30824] : [_30824 = _30822, 150 ^ _25698 : [(151 ^ _25698) ^ [_30988] : [member(_30988, _30824), -(member(_30988, _30822))], (157 ^ _25698) ^ [_31160] : [member(_31160, _30822), -(member(_31160, _30824))]]]], input).
% 0.34/1.39  ncf('1',plain,[intersection(177 ^ [], union(177 ^ [], 178 ^ [])) = 177 ^ []],start(180 ^ 0)).
% 0.34/1.39  ncf('1.1',plain,[-(intersection(177 ^ [], union(177 ^ [], 178 ^ [])) = 177 ^ []), 168 : -(member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], intersection(177 ^ [], union(177 ^ [], 178 ^ [])))), 172 : -(member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], 177 ^ []))],extension(163 ^ 1,bind([[_31339, _31341], [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))]]))).
% 0.34/1.39  ncf('1.1.1',plain,[member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], intersection(177 ^ [], union(177 ^ [], 178 ^ []))), 90 : -(member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], 177 ^ []))],extension(86 ^ 4,bind([[_28700, _28702, _28704], [164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], union(177 ^ [], 178 ^ []), 177 ^ []]]))).
% 0.34/1.39  ncf('1.1.1.1',plain,[member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], 177 ^ [])],extension(170 ^ 7)).
% 0.34/1.39  ncf('1.1.2',plain,[member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], 177 ^ []), -(member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], intersection(177 ^ [], union(177 ^ [], 178 ^ [])))), member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], union(177 ^ [], 178 ^ []))],extension(94 ^ 4,bind([[_28951, _28953, _28955], [164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], union(177 ^ [], 178 ^ []), 177 ^ []]]))).
% 0.34/1.39  ncf('1.1.2.1',plain,[member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], intersection(177 ^ [], union(177 ^ [], 178 ^ [])))],extension(174 ^ 5)).
% 0.34/1.39  ncf('1.1.2.2',plain,[-(member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], union(177 ^ [], 178 ^ []))), 80 : member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], 177 ^ [])],extension(78 ^ 5,bind([[_28357, _28359, _28361], [164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], 178 ^ [], 177 ^ []]]))).
% 0.34/1.39  ncf('1.1.2.2.1',plain,[-(member(164 ^ [177 ^ [], intersection(177 ^ [], union(177 ^ [], 178 ^ []))], 177 ^ []))],reduction('1.1')).
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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