TSTP Solution File: SET632+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET632+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 11:56:11 EDT 2023

% Result   : Theorem 0.40s 1.38s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET632+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.34  % Computer : n008.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Thu May 18 19:06:54 EDT 2023
% 0.11/0.34  % CPUTime  : 
% 0.40/1.38  
% 0.40/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.40/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/1.38  %-----------------------------------------------------
% 0.40/1.38  ncf(matrix, plain, [(180 ^ _26650) ^ [] : [-(subset(176 ^ [], 177 ^ []))], (182 ^ _26650) ^ [] : [-(subset(176 ^ [], 178 ^ []))], (184 ^ _26650) ^ [] : [-(disjoint(177 ^ [], 178 ^ []))], (186 ^ _26650) ^ [] : [176 ^ [] = empty_set], (2 ^ _26650) ^ [_26774] : [-(_26774 = _26774)], (4 ^ _26650) ^ [_26881, _26883] : [_26883 = _26881, -(_26881 = _26883)], (10 ^ _26650) ^ [_27085, _27087, _27089] : [-(_27089 = _27085), _27089 = _27087, _27087 = _27085], (20 ^ _26650) ^ [_27426, _27428, _27430, _27432] : [-(intersect(_27430, _27426)), intersect(_27432, _27428), _27432 = _27430, _27428 = _27426], (34 ^ _26650) ^ [_27842, _27844] : [-(empty(_27842)), _27844 = _27842, empty(_27844)], (44 ^ _26650) ^ [_28165, _28167, _28169, _28171] : [-(member(_28169, _28165)), member(_28171, _28167), _28171 = _28169, _28167 = _28165], (58 ^ _26650) ^ [_28609, _28611, _28613, _28615] : [-(subset(_28613, _28609)), subset(_28615, _28611), _28615 = _28613, _28611 = _28609], (72 ^ _26650) ^ [_29033, _29035, _29037, _29039] : [-(disjoint(_29037, _29033)), disjoint(_29039, _29035), _29039 = _29037, _29035 = _29033], (96 ^ _26650) ^ [_29806, _29808] : [98 ^ _26650 : [(99 ^ _26650) ^ [] : [-(member(97 ^ [_29806, _29808], _29808))], (101 ^ _26650) ^ [] : [member(97 ^ [_29806, _29808], _29806)]], -(subset(_29808, _29806))], (86 ^ _26650) ^ [_29492, _29494] : [subset(_29494, _29492), 89 ^ _26650 : [(90 ^ _26650) ^ [_29629] : [member(_29629, _29494), -(member(_29629, _29492))]]], (105 ^ _26650) ^ [_30192, _30194] : [intersect(_30194, _30192), 109 ^ _26650 : [(110 ^ _26650) ^ [] : [-(member(108 ^ [_30192, _30194], _30194))], (112 ^ _26650) ^ [] : [-(member(108 ^ [_30192, _30194], _30192))]]], (114 ^ _26650) ^ [_30499, _30501] : [-(intersect(_30501, _30499)), 115 ^ _26650 : [(116 ^ _26650) ^ [_30591] : [member(_30591, _30501), member(_30591, _30499)]]], (124 ^ _26650) ^ [_30833] : [member(_30833, empty_set)], (126 ^ _26650) ^ [_30969, _30971] : [disjoint(_30971, _30969), intersect(_30971, _30969)], (132 ^ _26650) ^ [_31132, _31134] : [-(intersect(_31134, _31132)), -(disjoint(_31134, _31132))], (138 ^ _26650) ^ [_31376, _31378] : [_31378 = _31376, 141 ^ _26650 : [(142 ^ _26650) ^ [] : [-(subset(_31378, _31376))], (144 ^ _26650) ^ [] : [-(subset(_31376, _31378))]]], (146 ^ _26650) ^ [_31613, _31615] : [-(_31615 = _31613), subset(_31615, _31613), subset(_31613, _31615)], (156 ^ _26650) ^ [_31914, _31916] : [intersect(_31916, _31914), -(intersect(_31914, _31916))], (162 ^ _26650) ^ [_32095] : [-(subset(_32095, _32095))], (164 ^ _26650) ^ [_32197] : [empty(_32197), 167 ^ _26650 : [(168 ^ _26650) ^ [_32308] : [member(_32308, _32197)]]], (170 ^ _26650) ^ [_32374] : [-(member(171 ^ [_32374], _32374)), -(empty(_32374))]], input).
% 0.40/1.38  ncf('1',plain,[disjoint(177 ^ [], 178 ^ []), intersect(177 ^ [], 178 ^ [])],start(126 ^ 0,bind([[_30969, _30971], [178 ^ [], 177 ^ []]]))).
% 0.40/1.38  ncf('1.1',plain,[-(disjoint(177 ^ [], 178 ^ []))],extension(184 ^ 1)).
% 0.40/1.38  ncf('1.2',plain,[-(intersect(177 ^ [], 178 ^ [])), 116 : member(97 ^ [empty_set, 176 ^ []], 177 ^ []), 116 : member(97 ^ [empty_set, 176 ^ []], 178 ^ [])],extension(114 ^ 1,bind([[_30499, _30501, _30591], [178 ^ [], 177 ^ [], 97 ^ [empty_set, 176 ^ []]]]))).
% 0.40/1.38  ncf('1.2.1',plain,[-(member(97 ^ [empty_set, 176 ^ []], 177 ^ [])), 90 : member(97 ^ [empty_set, 176 ^ []], 176 ^ []), 90 : subset(176 ^ [], 177 ^ [])],extension(86 ^ 4,bind([[_29492, _29494, _29629], [177 ^ [], 176 ^ [], 97 ^ [empty_set, 176 ^ []]]]))).
% 0.40/1.38  ncf('1.2.1.1',plain,[-(member(97 ^ [empty_set, 176 ^ []], 176 ^ [])), -(subset(176 ^ [], empty_set))],extension(96 ^ 7,bind([[_29806, _29808], [empty_set, 176 ^ []]]))).
% 0.40/1.38  ncf('1.2.1.1.1',plain,[subset(176 ^ [], empty_set), -(176 ^ [] = empty_set), subset(empty_set, 176 ^ [])],extension(146 ^ 8,bind([[_31613, _31615], [empty_set, 176 ^ []]]))).
% 0.40/1.38  ncf('1.2.1.1.1.1',plain,[176 ^ [] = empty_set],extension(186 ^ 9)).
% 0.40/1.38  ncf('1.2.1.1.1.2',plain,[-(subset(empty_set, 176 ^ [])), 99 : -(member(97 ^ [176 ^ [], empty_set], empty_set))],extension(96 ^ 9,bind([[_29806, _29808], [176 ^ [], empty_set]]))).
% 0.40/1.38  ncf('1.2.1.1.1.2.1',plain,[member(97 ^ [176 ^ [], empty_set], empty_set)],extension(124 ^ 12,bind([[_30833], [97 ^ [176 ^ [], empty_set]]]))).
% 0.40/1.38  ncf('1.2.1.2',plain,[-(subset(176 ^ [], 177 ^ []))],extension(180 ^ 5)).
% 0.40/1.38  ncf('1.2.2',plain,[-(member(97 ^ [empty_set, 176 ^ []], 178 ^ [])), 90 : member(97 ^ [empty_set, 176 ^ []], 176 ^ []), 90 : subset(176 ^ [], 178 ^ [])],extension(86 ^ 4,bind([[_29492, _29494, _29629], [178 ^ [], 176 ^ [], 97 ^ [empty_set, 176 ^ []]]]))).
% 0.40/1.38  ncf('1.2.2.1',plain,[-(member(97 ^ [empty_set, 176 ^ []], 176 ^ [])), -(subset(176 ^ [], empty_set))],extension(96 ^ 7,bind([[_29806, _29808], [empty_set, 176 ^ []]]))).
% 0.40/1.38  ncf('1.2.2.1.1',plain,[subset(176 ^ [], empty_set), -(176 ^ [] = empty_set), subset(empty_set, 176 ^ [])],extension(146 ^ 8,bind([[_31613, _31615], [empty_set, 176 ^ []]]))).
% 0.40/1.38  ncf('1.2.2.1.1.1',plain,[176 ^ [] = empty_set],extension(186 ^ 9)).
% 0.40/1.38  ncf('1.2.2.1.1.2',plain,[-(subset(empty_set, 176 ^ [])), 99 : -(member(97 ^ [176 ^ [], empty_set], empty_set))],extension(96 ^ 9,bind([[_29806, _29808], [176 ^ [], empty_set]]))).
% 0.40/1.38  ncf('1.2.2.1.1.2.1',plain,[member(97 ^ [176 ^ [], empty_set], empty_set)],extension(124 ^ 12,bind([[_30833], [97 ^ [176 ^ [], empty_set]]]))).
% 0.40/1.38  ncf('1.2.2.2',plain,[-(subset(176 ^ [], 178 ^ []))],extension(182 ^ 5)).
% 0.40/1.38  %-----------------------------------------------------
% 0.40/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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