TSTP Solution File: SET162+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET162+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 11:55:31 EDT 2023

% Result   : Theorem 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET162+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n027.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 19:34:50 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(174 ^ _23546) ^ [] : [union(172 ^ [], empty_set) = 172 ^ []], (58 ^ _23546) ^ [_25495, _25497, _25499, _25501] : [-(union(_25501, _25497) = union(_25499, _25495)), _25501 = _25499, _25497 = _25495], (2 ^ _23546) ^ [_23690] : [-(_23690 = _23690)], (4 ^ _23546) ^ [_23797, _23799] : [_23799 = _23797, -(_23797 = _23799)], (10 ^ _23546) ^ [_24001, _24003, _24005] : [-(_24005 = _24001), _24005 = _24003, _24003 = _24001], (20 ^ _23546) ^ [_24342, _24344, _24346, _24348] : [-(subset(_24346, _24342)), subset(_24348, _24344), _24348 = _24346, _24344 = _24342], (34 ^ _23546) ^ [_24758, _24760] : [-(empty(_24758)), _24760 = _24758, empty(_24760)], (44 ^ _23546) ^ [_25061, _25063, _25065, _25067] : [-(member(_25065, _25061)), member(_25067, _25063), _25067 = _25065, _25063 = _25061], (78 ^ _23546) ^ [_26139, _26141, _26143] : [79 ^ _23546 : [(80 ^ _23546) ^ [] : [member(_26139, _26143)], (82 ^ _23546) ^ [] : [member(_26139, _26141)]], -(member(_26139, union(_26143, _26141)))], (68 ^ _23546) ^ [_25871, _25873, _25875] : [member(_25871, union(_25875, _25873)), -(member(_25871, _25875)), -(member(_25871, _25873))], (86 ^ _23546) ^ [_26409] : [member(_26409, empty_set)], (88 ^ _23546) ^ [_26545, _26547] : [_26547 = _26545, 91 ^ _23546 : [(92 ^ _23546) ^ [] : [-(subset(_26547, _26545))], (94 ^ _23546) ^ [] : [-(subset(_26545, _26547))]]], (96 ^ _23546) ^ [_26782, _26784] : [-(_26784 = _26782), subset(_26784, _26782), subset(_26782, _26784)], (106 ^ _23546) ^ [_27068, _27070] : [-(union(_27070, _27068) = union(_27068, _27070))], (118 ^ _23546) ^ [_27526, _27528] : [120 ^ _23546 : [(121 ^ _23546) ^ [] : [-(member(119 ^ [_27526, _27528], _27528))], (123 ^ _23546) ^ [] : [member(119 ^ [_27526, _27528], _27526)]], -(subset(_27528, _27526))], (108 ^ _23546) ^ [_27212, _27214] : [subset(_27214, _27212), 111 ^ _23546 : [(112 ^ _23546) ^ [_27349] : [member(_27349, _27214), -(member(_27349, _27212))]]], (127 ^ _23546) ^ [_27854] : [-(subset(_27854, _27854))], (129 ^ _23546) ^ [_27976] : [empty(_27976), 132 ^ _23546 : [(133 ^ _23546) ^ [_28087] : [member(_28087, _27976)]]], (135 ^ _23546) ^ [_28153] : [-(member(136 ^ [_28153], _28153)), -(empty(_28153))], (158 ^ _23546) ^ [_28939, _28941] : [-(_28941 = _28939), 162 ^ _23546 : [(163 ^ _23546) ^ [] : [-(member(159 ^ [_28939, _28941], _28941))], (165 ^ _23546) ^ [] : [member(159 ^ [_28939, _28941], _28939)]], 166 ^ _23546 : [(167 ^ _23546) ^ [] : [-(member(159 ^ [_28939, _28941], _28939))], (169 ^ _23546) ^ [] : [member(159 ^ [_28939, _28941], _28941)]]], (142 ^ _23546) ^ [_28422, _28424] : [_28424 = _28422, 145 ^ _23546 : [(146 ^ _23546) ^ [_28588] : [member(_28588, _28424), -(member(_28588, _28422))], (152 ^ _23546) ^ [_28760] : [member(_28760, _28422), -(member(_28760, _28424))]]]], input).
% 0.33/1.37  ncf('1',plain,[union(172 ^ [], empty_set) = 172 ^ []],start(174 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(union(172 ^ [], empty_set) = 172 ^ []), 163 : -(member(159 ^ [172 ^ [], union(172 ^ [], empty_set)], union(172 ^ [], empty_set))), 167 : -(member(159 ^ [172 ^ [], union(172 ^ [], empty_set)], 172 ^ []))],extension(158 ^ 1,bind([[_28939, _28941], [172 ^ [], union(172 ^ [], empty_set)]]))).
% 0.33/1.37  ncf('1.1.1',plain,[member(159 ^ [172 ^ [], union(172 ^ [], empty_set)], union(172 ^ [], empty_set)), -(member(159 ^ [172 ^ [], union(172 ^ [], empty_set)], 172 ^ [])), -(member(159 ^ [172 ^ [], union(172 ^ [], empty_set)], empty_set))],extension(68 ^ 4,bind([[_25871, _25873, _25875], [159 ^ [172 ^ [], union(172 ^ [], empty_set)], empty_set, 172 ^ []]]))).
% 0.33/1.37  ncf('1.1.1.1',plain,[member(159 ^ [172 ^ [], union(172 ^ [], empty_set)], 172 ^ [])],extension(165 ^ 5)).
% 0.33/1.37  ncf('1.1.1.2',plain,[member(159 ^ [172 ^ [], union(172 ^ [], empty_set)], empty_set)],extension(86 ^ 5,bind([[_26409], [159 ^ [172 ^ [], union(172 ^ [], empty_set)]]]))).
% 0.33/1.37  ncf('1.1.2',plain,[member(159 ^ [172 ^ [], union(172 ^ [], empty_set)], 172 ^ []), -(member(159 ^ [172 ^ [], union(172 ^ [], empty_set)], union(172 ^ [], empty_set)))],extension(78 ^ 4,bind([[_26139, _26141, _26143], [159 ^ [172 ^ [], union(172 ^ [], empty_set)], empty_set, 172 ^ []]]))).
% 0.33/1.37  ncf('1.1.2.1',plain,[member(159 ^ [172 ^ [], union(172 ^ [], empty_set)], union(172 ^ [], empty_set))],extension(169 ^ 5)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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