TSTP Solution File: SET146+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET146+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 11:55:29 EDT 2023

% Result   : Theorem 0.31s 1.38s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET146+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 18:50:02 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.31/1.38  
% 0.31/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  ncf(matrix, plain, [(174 ^ _22536) ^ [] : [intersection(172 ^ [], empty_set) = empty_set], (58 ^ _22536) ^ [_24485, _24487, _24489, _24491] : [-(intersection(_24491, _24487) = intersection(_24489, _24485)), _24491 = _24489, _24487 = _24485], (2 ^ _22536) ^ [_22680] : [-(_22680 = _22680)], (4 ^ _22536) ^ [_22787, _22789] : [_22789 = _22787, -(_22787 = _22789)], (10 ^ _22536) ^ [_22991, _22993, _22995] : [-(_22995 = _22991), _22995 = _22993, _22993 = _22991], (20 ^ _22536) ^ [_23332, _23334, _23336, _23338] : [-(subset(_23336, _23332)), subset(_23338, _23334), _23338 = _23336, _23334 = _23332], (34 ^ _22536) ^ [_23748, _23750] : [-(empty(_23748)), _23750 = _23748, empty(_23750)], (44 ^ _22536) ^ [_24051, _24053, _24055, _24057] : [-(member(_24055, _24051)), member(_24057, _24053), _24057 = _24055, _24053 = _24051], (68 ^ _22536) ^ [_24861, _24863, _24865] : [member(_24861, intersection(_24865, _24863)), 71 ^ _22536 : [(72 ^ _22536) ^ [] : [-(member(_24861, _24865))], (74 ^ _22536) ^ [] : [-(member(_24861, _24863))]]], (76 ^ _22536) ^ [_25112, _25114, _25116] : [-(member(_25112, intersection(_25116, _25114))), member(_25112, _25116), member(_25112, _25114)], (86 ^ _22536) ^ [_25399] : [member(_25399, empty_set)], (88 ^ _22536) ^ [_25535, _25537] : [_25537 = _25535, 91 ^ _22536 : [(92 ^ _22536) ^ [] : [-(subset(_25537, _25535))], (94 ^ _22536) ^ [] : [-(subset(_25535, _25537))]]], (96 ^ _22536) ^ [_25772, _25774] : [-(_25774 = _25772), subset(_25774, _25772), subset(_25772, _25774)], (106 ^ _22536) ^ [_26058, _26060] : [-(intersection(_26060, _26058) = intersection(_26058, _26060))], (118 ^ _22536) ^ [_26516, _26518] : [120 ^ _22536 : [(121 ^ _22536) ^ [] : [-(member(119 ^ [_26516, _26518], _26518))], (123 ^ _22536) ^ [] : [member(119 ^ [_26516, _26518], _26516)]], -(subset(_26518, _26516))], (108 ^ _22536) ^ [_26202, _26204] : [subset(_26204, _26202), 111 ^ _22536 : [(112 ^ _22536) ^ [_26339] : [member(_26339, _26204), -(member(_26339, _26202))]]], (127 ^ _22536) ^ [_26844] : [-(subset(_26844, _26844))], (129 ^ _22536) ^ [_26966] : [empty(_26966), 132 ^ _22536 : [(133 ^ _22536) ^ [_27077] : [member(_27077, _26966)]]], (135 ^ _22536) ^ [_27143] : [-(member(136 ^ [_27143], _27143)), -(empty(_27143))], (158 ^ _22536) ^ [_27929, _27931] : [-(_27931 = _27929), 162 ^ _22536 : [(163 ^ _22536) ^ [] : [-(member(159 ^ [_27929, _27931], _27931))], (165 ^ _22536) ^ [] : [member(159 ^ [_27929, _27931], _27929)]], 166 ^ _22536 : [(167 ^ _22536) ^ [] : [-(member(159 ^ [_27929, _27931], _27929))], (169 ^ _22536) ^ [] : [member(159 ^ [_27929, _27931], _27931)]]], (142 ^ _22536) ^ [_27412, _27414] : [_27414 = _27412, 145 ^ _22536 : [(146 ^ _22536) ^ [_27578] : [member(_27578, _27414), -(member(_27578, _27412))], (152 ^ _22536) ^ [_27750] : [member(_27750, _27412), -(member(_27750, _27414))]]]], input).
% 0.31/1.38  ncf('1',plain,[member(159 ^ [empty_set, intersection(172 ^ [], empty_set)], empty_set)],start(86 ^ 0,bind([[_25399], [159 ^ [empty_set, intersection(172 ^ [], empty_set)]]]))).
% 0.31/1.38  ncf('1.1',plain,[-(member(159 ^ [empty_set, intersection(172 ^ [], empty_set)], empty_set)), member(159 ^ [empty_set, intersection(172 ^ [], empty_set)], intersection(172 ^ [], empty_set))],extension(68 ^ 1,bind([[_24861, _24863, _24865], [159 ^ [empty_set, intersection(172 ^ [], empty_set)], empty_set, 172 ^ []]]))).
% 0.31/1.38  ncf('1.1.1',plain,[-(member(159 ^ [empty_set, intersection(172 ^ [], empty_set)], intersection(172 ^ [], empty_set))), -(intersection(172 ^ [], empty_set) = empty_set), 167 : -(member(159 ^ [empty_set, intersection(172 ^ [], empty_set)], empty_set))],extension(158 ^ 2,bind([[_27929, _27931], [empty_set, intersection(172 ^ [], empty_set)]]))).
% 0.31/1.38  ncf('1.1.1.1',plain,[intersection(172 ^ [], empty_set) = empty_set],extension(174 ^ 3)).
% 0.31/1.38  ncf('1.1.1.2',plain,[member(159 ^ [empty_set, intersection(172 ^ [], empty_set)], empty_set)],reduction('1')).
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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