TSTP Solution File: SET605+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET605+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 11:56:05 EDT 2023

% Result   : Theorem 0.32s 1.38s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET605+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n026.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 19:32:05 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.38  
% 0.32/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  ncf(matrix, plain, [(217 ^ _28001) ^ [] : [difference(214 ^ [], union(214 ^ [], 215 ^ [])) = empty_set], (58 ^ _28001) ^ [_29970, _29972, _29974, _29976] : [-(difference(_29976, _29972) = difference(_29974, _29970)), _29976 = _29974, _29972 = _29970], (68 ^ _28001) ^ [_30309, _30311, _30313, _30315] : [-(union(_30315, _30311) = union(_30313, _30309)), _30315 = _30313, _30311 = _30309], (2 ^ _28001) ^ [_28145] : [-(_28145 = _28145)], (4 ^ _28001) ^ [_28252, _28254] : [_28254 = _28252, -(_28252 = _28254)], (10 ^ _28001) ^ [_28456, _28458, _28460] : [-(_28460 = _28456), _28460 = _28458, _28458 = _28456], (20 ^ _28001) ^ [_28797, _28799, _28801, _28803] : [-(subset(_28801, _28797)), subset(_28803, _28799), _28803 = _28801, _28799 = _28797], (34 ^ _28001) ^ [_29213, _29215] : [-(empty(_29213)), _29215 = _29213, empty(_29215)], (44 ^ _28001) ^ [_29516, _29518, _29520, _29522] : [-(member(_29520, _29516)), member(_29522, _29518), _29522 = _29520, _29518 = _29516], (78 ^ _28001) ^ [_30631, _30633] : [-(subset(_30633, union(_30633, _30631)))], (80 ^ _28001) ^ [_30772, _30774] : [difference(_30774, _30772) = empty_set, -(subset(_30774, _30772))], (86 ^ _28001) ^ [_30940, _30942] : [subset(_30942, _30940), -(difference(_30942, _30940) = empty_set)], (102 ^ _28001) ^ [_31469, _31471, _31473] : [103 ^ _28001 : [(104 ^ _28001) ^ [] : [member(_31469, _31473)], (106 ^ _28001) ^ [] : [member(_31469, _31471)]], -(member(_31469, union(_31473, _31471)))], (92 ^ _28001) ^ [_31201, _31203, _31205] : [member(_31201, union(_31205, _31203)), -(member(_31201, _31205)), -(member(_31201, _31203))], (110 ^ _28001) ^ [_31739] : [member(_31739, empty_set)], (112 ^ _28001) ^ [_31889, _31891, _31893] : [member(_31889, difference(_31893, _31891)), 115 ^ _28001 : [(116 ^ _28001) ^ [] : [-(member(_31889, _31893))], (118 ^ _28001) ^ [] : [member(_31889, _31891)]]], (120 ^ _28001) ^ [_32141, _32143, _32145] : [-(member(_32141, difference(_32145, _32143))), member(_32141, _32145), -(member(_32141, _32143))], (130 ^ _28001) ^ [_32490, _32492] : [_32492 = _32490, 133 ^ _28001 : [(134 ^ _28001) ^ [] : [-(subset(_32492, _32490))], (136 ^ _28001) ^ [] : [-(subset(_32490, _32492))]]], (138 ^ _28001) ^ [_32727, _32729] : [-(_32729 = _32727), subset(_32729, _32727), subset(_32727, _32729)], (148 ^ _28001) ^ [_33013, _33015] : [-(union(_33015, _33013) = union(_33013, _33015))], (160 ^ _28001) ^ [_33471, _33473] : [162 ^ _28001 : [(163 ^ _28001) ^ [] : [-(member(161 ^ [_33471, _33473], _33473))], (165 ^ _28001) ^ [] : [member(161 ^ [_33471, _33473], _33471)]], -(subset(_33473, _33471))], (150 ^ _28001) ^ [_33157, _33159] : [subset(_33159, _33157), 153 ^ _28001 : [(154 ^ _28001) ^ [_33294] : [member(_33294, _33159), -(member(_33294, _33157))]]], (169 ^ _28001) ^ [_33799] : [-(subset(_33799, _33799))], (171 ^ _28001) ^ [_33921] : [empty(_33921), 174 ^ _28001 : [(175 ^ _28001) ^ [_34032] : [member(_34032, _33921)]]], (177 ^ _28001) ^ [_34098] : [-(member(178 ^ [_34098], _34098)), -(empty(_34098))], (200 ^ _28001) ^ [_34884, _34886] : [-(_34886 = _34884), 204 ^ _28001 : [(205 ^ _28001) ^ [] : [-(member(201 ^ [_34884, _34886], _34886))], (207 ^ _28001) ^ [] : [member(201 ^ [_34884, _34886], _34884)]], 208 ^ _28001 : [(209 ^ _28001) ^ [] : [-(member(201 ^ [_34884, _34886], _34884))], (211 ^ _28001) ^ [] : [member(201 ^ [_34884, _34886], _34886)]]], (184 ^ _28001) ^ [_34367, _34369] : [_34369 = _34367, 187 ^ _28001 : [(188 ^ _28001) ^ [_34533] : [member(_34533, _34369), -(member(_34533, _34367))], (194 ^ _28001) ^ [_34705] : [member(_34705, _34367), -(member(_34705, _34369))]]]], input).
% 0.32/1.38  ncf('1',plain,[difference(214 ^ [], union(214 ^ [], 215 ^ [])) = empty_set],start(217 ^ 0)).
% 0.32/1.38  ncf('1.1',plain,[-(difference(214 ^ [], union(214 ^ [], 215 ^ [])) = empty_set), subset(214 ^ [], union(214 ^ [], 215 ^ []))],extension(86 ^ 1,bind([[_30940, _30942], [union(214 ^ [], 215 ^ []), 214 ^ []]]))).
% 0.32/1.38  ncf('1.1.1',plain,[-(subset(214 ^ [], union(214 ^ [], 215 ^ [])))],extension(78 ^ 2,bind([[_30631, _30633], [215 ^ [], 214 ^ []]]))).
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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