TSTP Solution File: SET199+3 by nanoCoP---2.0

View Problem - Process Solution

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% File     : nanoCoP---2.0
% Problem  : SET199+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n004.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 11:55:35 EDT 2023

% Result   : Theorem 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET199+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May 18 18:49:54 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.33/1.39  
% 0.33/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  ncf(matrix, plain, [(133 ^ _20329) ^ [] : [-(subset(129 ^ [], 130 ^ []))], (135 ^ _20329) ^ [] : [-(subset(129 ^ [], 131 ^ []))], (137 ^ _20329) ^ [] : [subset(129 ^ [], intersection(130 ^ [], 131 ^ []))], (48 ^ _20329) ^ [_21981, _21983, _21985, _21987] : [-(intersection(_21987, _21983) = intersection(_21985, _21981)), _21987 = _21985, _21983 = _21981], (2 ^ _20329) ^ [_20473] : [-(_20473 = _20473)], (4 ^ _20329) ^ [_20580, _20582] : [_20582 = _20580, -(_20580 = _20582)], (10 ^ _20329) ^ [_20784, _20786, _20788] : [-(_20788 = _20784), _20788 = _20786, _20786 = _20784], (20 ^ _20329) ^ [_21125, _21127, _21129, _21131] : [-(member(_21129, _21125)), member(_21131, _21127), _21131 = _21129, _21127 = _21125], (34 ^ _20329) ^ [_21549, _21551, _21553, _21555] : [-(subset(_21553, _21549)), subset(_21555, _21551), _21555 = _21553, _21551 = _21549], (58 ^ _20329) ^ [_22357, _22359, _22361] : [member(_22357, intersection(_22361, _22359)), 61 ^ _20329 : [(62 ^ _20329) ^ [] : [-(member(_22357, _22361))], (64 ^ _20329) ^ [] : [-(member(_22357, _22359))]]], (66 ^ _20329) ^ [_22608, _22610, _22612] : [-(member(_22608, intersection(_22612, _22610))), member(_22608, _22612), member(_22608, _22610)], (86 ^ _20329) ^ [_23268, _23270] : [88 ^ _20329 : [(89 ^ _20329) ^ [] : [-(member(87 ^ [_23268, _23270], _23270))], (91 ^ _20329) ^ [] : [member(87 ^ [_23268, _23270], _23268)]], -(subset(_23270, _23268))], (76 ^ _20329) ^ [_22954, _22956] : [subset(_22956, _22954), 79 ^ _20329 : [(80 ^ _20329) ^ [_23091] : [member(_23091, _22956), -(member(_23091, _22954))]]], (95 ^ _20329) ^ [_23610, _23612] : [-(intersection(_23612, _23610) = intersection(_23610, _23612))], (97 ^ _20329) ^ [_23696] : [-(subset(_23696, _23696))], (115 ^ _20329) ^ [_24329, _24331] : [-(_24331 = _24329), 119 ^ _20329 : [(120 ^ _20329) ^ [] : [-(member(116 ^ [_24329, _24331], _24331))], (122 ^ _20329) ^ [] : [member(116 ^ [_24329, _24331], _24329)]], 123 ^ _20329 : [(124 ^ _20329) ^ [] : [-(member(116 ^ [_24329, _24331], _24329))], (126 ^ _20329) ^ [] : [member(116 ^ [_24329, _24331], _24331)]]], (99 ^ _20329) ^ [_23812, _23814] : [_23814 = _23812, 102 ^ _20329 : [(103 ^ _20329) ^ [_23978] : [member(_23978, _23814), -(member(_23978, _23812))], (109 ^ _20329) ^ [_24150] : [member(_24150, _23812), -(member(_24150, _23814))]]]], input).
% 0.33/1.39  ncf('1',plain,[subset(129 ^ [], intersection(130 ^ [], 131 ^ []))],start(137 ^ 0)).
% 0.33/1.39  ncf('1.1',plain,[-(subset(129 ^ [], intersection(130 ^ [], 131 ^ []))), 89 : -(member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], 129 ^ []))],extension(86 ^ 1,bind([[_23268, _23270], [intersection(130 ^ [], 131 ^ []), 129 ^ []]]))).
% 0.33/1.39  ncf('1.1.1',plain,[member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], 129 ^ []), -(member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], intersection(129 ^ [], intersection(130 ^ [], 131 ^ [])))), member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], intersection(130 ^ [], 131 ^ []))],extension(66 ^ 4,bind([[_22608, _22610, _22612], [87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], intersection(130 ^ [], 131 ^ []), 129 ^ []]]))).
% 0.33/1.39  ncf('1.1.1.1',plain,[member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], intersection(129 ^ [], intersection(130 ^ [], 131 ^ []))), 64 : -(member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], intersection(130 ^ [], 131 ^ [])))],extension(58 ^ 5,bind([[_22357, _22359, _22361], [87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], intersection(130 ^ [], 131 ^ []), 129 ^ []]]))).
% 0.33/1.39  ncf('1.1.1.1.1',plain,[member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], intersection(130 ^ [], 131 ^ []))],extension(91 ^ 8)).
% 0.33/1.39  ncf('1.1.1.2',plain,[-(member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], intersection(130 ^ [], 131 ^ []))), member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], 130 ^ []), member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], 131 ^ [])],extension(66 ^ 5,bind([[_22608, _22610, _22612], [87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], 131 ^ [], 130 ^ []]]))).
% 0.33/1.39  ncf('1.1.1.2.1',plain,[-(member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], 130 ^ [])), 80 : member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], 129 ^ []), 80 : subset(129 ^ [], 130 ^ [])],extension(76 ^ 6,bind([[_22954, _22956, _23091], [130 ^ [], 129 ^ [], 87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []]]]))).
% 0.33/1.39  ncf('1.1.1.2.1.1',plain,[-(member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], 129 ^ []))],reduction('1.1')).
% 0.33/1.39  ncf('1.1.1.2.1.2',plain,[-(subset(129 ^ [], 130 ^ []))],extension(133 ^ 7)).
% 0.33/1.39  ncf('1.1.1.2.2',plain,[-(member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], 131 ^ [])), 80 : member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], 129 ^ []), 80 : subset(129 ^ [], 131 ^ [])],extension(76 ^ 6,bind([[_22954, _22956, _23091], [131 ^ [], 129 ^ [], 87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []]]]))).
% 0.33/1.39  ncf('1.1.1.2.2.1',plain,[-(member(87 ^ [intersection(130 ^ [], 131 ^ []), 129 ^ []], 129 ^ []))],reduction('1.1')).
% 0.33/1.39  ncf('1.1.1.2.2.2',plain,[-(subset(129 ^ [], 131 ^ []))],extension(135 ^ 7)).
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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