TSTP Solution File: SET586+3 by nanoCoP---2.0

View Problem - Process Solution

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% File     : nanoCoP---2.0
% Problem  : SET586+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 0.39s 1.40s
% Output   : Proof 0.39s
% 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  : SET586+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 19:15:57 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.39/1.40  
% 0.39/1.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.39/1.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.40  %-----------------------------------------------------
% 0.39/1.40  ncf(matrix, plain, [(133 ^ _20238) ^ [] : [-(subset(129 ^ [], 130 ^ []))], (135 ^ _20238) ^ [] : [subset(intersection(129 ^ [], 131 ^ []), intersection(130 ^ [], 131 ^ []))], (48 ^ _20238) ^ [_21890, _21892, _21894, _21896] : [-(intersection(_21896, _21892) = intersection(_21894, _21890)), _21896 = _21894, _21892 = _21890], (2 ^ _20238) ^ [_20382] : [-(_20382 = _20382)], (4 ^ _20238) ^ [_20489, _20491] : [_20491 = _20489, -(_20489 = _20491)], (10 ^ _20238) ^ [_20693, _20695, _20697] : [-(_20697 = _20693), _20697 = _20695, _20695 = _20693], (20 ^ _20238) ^ [_21034, _21036, _21038, _21040] : [-(member(_21038, _21034)), member(_21040, _21036), _21040 = _21038, _21036 = _21034], (34 ^ _20238) ^ [_21458, _21460, _21462, _21464] : [-(subset(_21462, _21458)), subset(_21464, _21460), _21464 = _21462, _21460 = _21458], (58 ^ _20238) ^ [_22266, _22268, _22270] : [member(_22266, intersection(_22270, _22268)), 61 ^ _20238 : [(62 ^ _20238) ^ [] : [-(member(_22266, _22270))], (64 ^ _20238) ^ [] : [-(member(_22266, _22268))]]], (66 ^ _20238) ^ [_22517, _22519, _22521] : [-(member(_22517, intersection(_22521, _22519))), member(_22517, _22521), member(_22517, _22519)], (86 ^ _20238) ^ [_23177, _23179] : [88 ^ _20238 : [(89 ^ _20238) ^ [] : [-(member(87 ^ [_23177, _23179], _23179))], (91 ^ _20238) ^ [] : [member(87 ^ [_23177, _23179], _23177)]], -(subset(_23179, _23177))], (76 ^ _20238) ^ [_22863, _22865] : [subset(_22865, _22863), 79 ^ _20238 : [(80 ^ _20238) ^ [_23000] : [member(_23000, _22865), -(member(_23000, _22863))]]], (95 ^ _20238) ^ [_23519, _23521] : [-(intersection(_23521, _23519) = intersection(_23519, _23521))], (97 ^ _20238) ^ [_23605] : [-(subset(_23605, _23605))], (115 ^ _20238) ^ [_24238, _24240] : [-(_24240 = _24238), 119 ^ _20238 : [(120 ^ _20238) ^ [] : [-(member(116 ^ [_24238, _24240], _24240))], (122 ^ _20238) ^ [] : [member(116 ^ [_24238, _24240], _24238)]], 123 ^ _20238 : [(124 ^ _20238) ^ [] : [-(member(116 ^ [_24238, _24240], _24238))], (126 ^ _20238) ^ [] : [member(116 ^ [_24238, _24240], _24240)]]], (99 ^ _20238) ^ [_23721, _23723] : [_23723 = _23721, 102 ^ _20238 : [(103 ^ _20238) ^ [_23887] : [member(_23887, _23723), -(member(_23887, _23721))], (109 ^ _20238) ^ [_24059] : [member(_24059, _23721), -(member(_24059, _23723))]]]], input).
% 0.39/1.40  ncf('1',plain,[subset(intersection(129 ^ [], 131 ^ []), intersection(130 ^ [], 131 ^ []))],start(135 ^ 0)).
% 0.39/1.40  ncf('1.1',plain,[-(subset(intersection(129 ^ [], 131 ^ []), intersection(130 ^ [], 131 ^ []))), 89 : -(member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], intersection(129 ^ [], 131 ^ [])))],extension(86 ^ 1,bind([[_23177, _23179], [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])]]))).
% 0.39/1.40  ncf('1.1.1',plain,[member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], intersection(129 ^ [], 131 ^ [])), 62 : -(member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], 129 ^ []))],extension(58 ^ 4,bind([[_22266, _22268, _22270], [87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], 131 ^ [], 129 ^ []]]))).
% 0.39/1.40  ncf('1.1.1.1',plain,[member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], 129 ^ []), -(member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], intersection(129 ^ [], intersection(130 ^ [], 131 ^ [])))), member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], intersection(130 ^ [], 131 ^ []))],extension(66 ^ 7,bind([[_22517, _22519, _22521], [87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], intersection(130 ^ [], 131 ^ []), 129 ^ []]]))).
% 0.39/1.40  ncf('1.1.1.1.1',plain,[member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], intersection(129 ^ [], intersection(130 ^ [], 131 ^ []))), 64 : -(member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], intersection(130 ^ [], 131 ^ [])))],extension(58 ^ 8,bind([[_22266, _22268, _22270], [87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], intersection(130 ^ [], 131 ^ []), 129 ^ []]]))).
% 0.39/1.40  ncf('1.1.1.1.1.1',plain,[member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], intersection(130 ^ [], 131 ^ []))],extension(91 ^ 11)).
% 0.39/1.40  ncf('1.1.1.1.2',plain,[-(member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], intersection(130 ^ [], 131 ^ []))), member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], 130 ^ []), member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], 131 ^ [])],extension(66 ^ 8,bind([[_22517, _22519, _22521], [87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], 131 ^ [], 130 ^ []]]))).
% 0.39/1.40  ncf('1.1.1.1.2.1',plain,[-(member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], 130 ^ [])), 80 : member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], 129 ^ []), 80 : subset(129 ^ [], 130 ^ [])],extension(76 ^ 9,bind([[_22863, _22865, _23000], [130 ^ [], 129 ^ [], 87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])]]]))).
% 0.39/1.40  ncf('1.1.1.1.2.1.1',plain,[-(member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], 129 ^ []))],reduction('1.1.1')).
% 0.39/1.40  ncf('1.1.1.1.2.1.2',plain,[-(subset(129 ^ [], 130 ^ []))],extension(133 ^ 10)).
% 0.39/1.40  ncf('1.1.1.1.2.2',plain,[-(member(87 ^ [intersection(130 ^ [], 131 ^ []), intersection(129 ^ [], 131 ^ [])], 131 ^ []))],extension(64 ^ 9)).
% 0.39/1.40  %-----------------------------------------------------
% 0.39/1.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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