TSTP Solution File: SET929+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET929+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n025.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 11:56:41 EDT 2023

% Result   : Theorem 0.25s 1.30s
% Output   : Proof 0.25s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SET929+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.08  % Command  : nanocop.sh %s %d
% 0.08/0.27  % Computer : n025.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Thu May 18 19:03:18 EDT 2023
% 0.08/0.27  % CPUTime  : 
% 0.25/1.30  
% 0.25/1.30  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.25/1.30  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/1.30  %-----------------------------------------------------
% 0.25/1.30  ncf(matrix, plain, [(129 ^ _23572) ^ [] : [138 ^ _23572 : [(139 ^ _23572) ^ [] : [-(in(125 ^ [], 127 ^ []))], (141 ^ _23572) ^ [] : [-(in(126 ^ [], 127 ^ []))], (143 ^ _23572) ^ [] : [set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = empty_set]], 130 ^ _23572 : [(131 ^ _23572) ^ [] : [-(set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = empty_set)], (133 ^ _23572) ^ [] : [in(125 ^ [], 127 ^ []), in(126 ^ [], 127 ^ [])]]], (78 ^ _23572) ^ [_26217, _26219] : [in(_26219, _26217), in(_26217, _26219)], (84 ^ _23572) ^ [_26413, _26415] : [-(unordered_pair(_26415, _26413) = unordered_pair(_26413, _26415))], (86 ^ _23572) ^ [] : [-(empty(empty_set))], (89 ^ _23572) ^ [] : [-(empty(87 ^ []))], (92 ^ _23572) ^ [] : [empty(90 ^ [])], (94 ^ _23572) ^ [_26745, _26747] : [-(subset(_26747, _26747))], (96 ^ _23572) ^ [_26883, _26885] : [set_difference(_26885, _26883) = empty_set, -(subset(_26885, _26883))], (102 ^ _23572) ^ [_27051, _27053] : [subset(_27053, _27051), -(set_difference(_27053, _27051) = empty_set)], (108 ^ _23572) ^ [_27292, _27294, _27296] : [subset(unordered_pair(_27296, _27294), _27292), 111 ^ _23572 : [(112 ^ _23572) ^ [] : [-(in(_27296, _27292))], (114 ^ _23572) ^ [] : [-(in(_27294, _27292))]]], (116 ^ _23572) ^ [_27543, _27545, _27547] : [-(subset(unordered_pair(_27547, _27545), _27543)), in(_27547, _27543), in(_27545, _27543)], (58 ^ _23572) ^ [_25541, _25543, _25545, _25547] : [-(set_difference(_25547, _25543) = set_difference(_25545, _25541)), _25547 = _25545, _25543 = _25541], (68 ^ _23572) ^ [_25880, _25882, _25884, _25886] : [-(unordered_pair(_25886, _25882) = unordered_pair(_25884, _25880)), _25886 = _25884, _25882 = _25880], (2 ^ _23572) ^ [_23716] : [-(_23716 = _23716)], (4 ^ _23572) ^ [_23823, _23825] : [_23825 = _23823, -(_23823 = _23825)], (10 ^ _23572) ^ [_24027, _24029, _24031] : [-(_24031 = _24027), _24031 = _24029, _24029 = _24027], (20 ^ _23572) ^ [_24340, _24342] : [-(empty(_24340)), _24342 = _24340, empty(_24342)], (30 ^ _23572) ^ [_24663, _24665, _24667, _24669] : [-(subset(_24667, _24663)), subset(_24669, _24665), _24669 = _24667, _24665 = _24663], (44 ^ _23572) ^ [_25087, _25089, _25091, _25093] : [-(in(_25091, _25087)), in(_25093, _25089), _25093 = _25091, _25089 = _25087]], input).
% 0.25/1.30  ncf('1',plain,[143 : set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = empty_set, 133 : in(125 ^ [], 127 ^ []), 133 : in(126 ^ [], 127 ^ [])],start(129 ^ 0)).
% 0.25/1.30  ncf('1.1',plain,[-(set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = empty_set), subset(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])],extension(102 ^ 3,bind([[_27051, _27053], [127 ^ [], unordered_pair(125 ^ [], 126 ^ [])]]))).
% 0.25/1.30  ncf('1.1.1',plain,[-(subset(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])), in(125 ^ [], 127 ^ []), in(126 ^ [], 127 ^ [])],extension(116 ^ 4,bind([[_27543, _27545, _27547], [127 ^ [], 126 ^ [], 125 ^ []]]))).
% 0.25/1.30  ncf('1.1.1.1',plain,[-(in(125 ^ [], 127 ^ []))],extension(139 ^ 5)).
% 0.25/1.30  ncf('1.1.1.2',plain,[-(in(126 ^ [], 127 ^ []))],extension(141 ^ 5)).
% 0.25/1.30  ncf('1.2',plain,[-(in(125 ^ [], 127 ^ [])), subset(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])],extension(108 ^ 3,bind([[_27292, _27294, _27296], [127 ^ [], 126 ^ [], 125 ^ []]]))).
% 0.25/1.30  ncf('1.2.1',plain,[-(subset(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])), set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = empty_set],extension(96 ^ 4,bind([[_26883, _26885], [127 ^ [], unordered_pair(125 ^ [], 126 ^ [])]]))).
% 0.25/1.30  ncf('1.2.1.1',plain,[-(set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = empty_set)],extension(131 ^ 5)).
% 0.25/1.30  ncf('1.3',plain,[-(in(126 ^ [], 127 ^ [])), subset(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])],extension(108 ^ 3,bind([[_27292, _27294, _27296], [127 ^ [], 126 ^ [], 125 ^ []]]))).
% 0.25/1.30  ncf('1.3.1',plain,[-(subset(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])), set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = empty_set],extension(96 ^ 4,bind([[_26883, _26885], [127 ^ [], unordered_pair(125 ^ [], 126 ^ [])]]))).
% 0.25/1.30  ncf('1.3.1.1',plain,[-(set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = empty_set)],extension(131 ^ 5)).
% 0.25/1.30  %-----------------------------------------------------
% 0.25/1.30  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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