TSTP Solution File: SET914+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET914+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 11:56:39 EDT 2023

% Result   : Theorem 53.90s 52.73s
% Output   : Proof 53.90s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08  % Problem  : SET914+1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.09  % Command  : nanocop.sh %s %d
% 0.09/0.27  % Computer : n032.cluster.edu
% 0.09/0.27  % Model    : x86_64 x86_64
% 0.09/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27  % Memory   : 8042.1875MB
% 0.09/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27  % CPULimit : 300
% 0.09/0.27  % WCLimit  : 300
% 0.09/0.27  % DateTime : Thu May 18 19:07:49 EDT 2023
% 0.09/0.27  % CPUTime  : 
% 53.90/52.73  
% 53.90/52.73  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 53.90/52.73  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.90/52.73  %-----------------------------------------------------
% 53.90/52.73  ncf(matrix, plain, [(220 ^ _40026) ^ [] : [-(in(214 ^ [], 216 ^ []))], (218 ^ _40026) ^ [] : [-(disjoint(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []))], !, (88 ^ _32435) ^ [_35486] : [_35486 = empty_set, 91 ^ _32435 : [(92 ^ _32435) ^ [_35599] : [in(_35599, _35486)]]], (58 ^ _32435) ^ [_34384, _34386, _34388, _34390] : [-(set_intersection2(_34390, _34386) = set_intersection2(_34388, _34384)), _34390 = _34388, _34386 = _34384], (30 ^ _32435) ^ [_33506, _33508, _33510, _33512] : [-(disjoint(_33510, _33506)), disjoint(_33512, _33508), _33512 = _33510, _33508 = _33506], (209 ^ _32435) ^ [_39691, _39693] : [disjoint(_39693, _39691), -(disjoint(_39691, _39693))], (187 ^ _32435) ^ [_38996, _38998] : [disjoint(_38998, _38996), -(set_intersection2(_38998, _38996) = empty_set)], (44 ^ _32435) ^ [_33930, _33932, _33934, _33936] : [-(in(_33934, _33930)), in(_33936, _33932), _33936 = _33934, _33932 = _33930], (20 ^ _32435) ^ [_33183, _33185] : [-(empty(_33183)), _33185 = _33183, empty(_33185)], (94 ^ _32435) ^ [_35665] : [-(in(95 ^ [_35665], _35665)), -(_35665 = empty_set)], (86 ^ _32435) ^ [_35356, _35358] : [-(set_intersection2(_35358, _35356) = set_intersection2(_35356, _35358))], (193 ^ _32435) ^ [_39164, _39166] : [set_intersection2(_39166, _39164) = empty_set, -(disjoint(_39166, _39164))], (201 ^ _32435) ^ [_39420, _39422] : [-(set_intersection2(_39422, _39422) = _39422)], (68 ^ _32435) ^ [_34723, _34725, _34727, _34729] : [-(unordered_pair(_34729, _34725) = unordered_pair(_34727, _34723)), _34729 = _34727, _34725 = _34723], (78 ^ _32435) ^ [_35060, _35062] : [in(_35062, _35060), in(_35060, _35062)], (144 ^ _32435) ^ [_37489, _37491, _37493] : [_37489 = set_intersection2(_37493, _37491), 147 ^ _32435 : [(156 ^ _32435) ^ [_37930] : [-(in(_37930, _37489)), in(_37930, _37493), in(_37930, _37491)], (148 ^ _32435) ^ [_37671] : [in(_37671, _37489), 151 ^ _32435 : [(154 ^ _32435) ^ [] : [-(in(_37671, _37491))], (152 ^ _32435) ^ [] : [-(in(_37671, _37493))]]]]], (101 ^ _32435) ^ [_35970, _35972, _35974] : [_35970 = unordered_pair(_35974, _35972), 104 ^ _32435 : [(105 ^ _32435) ^ [_36152] : [in(_36152, _35970), -(_36152 = _35974), -(_36152 = _35972)], (115 ^ _32435) ^ [_36430] : [116 ^ _32435 : [(119 ^ _32435) ^ [] : [_36430 = _35972], (117 ^ _32435) ^ [] : [_36430 = _35974]], -(in(_36430, _35970))]]], (10 ^ _32435) ^ [_32870, _32872, _32874] : [-(_32874 = _32870), _32874 = _32872, _32872 = _32870], (2 ^ _32435) ^ [_32559] : [-(_32559 = _32559)], (84 ^ _32435) ^ [_35256, _35258] : [-(unordered_pair(_35258, _35256) = unordered_pair(_35256, _35258))], (207 ^ _32435) ^ [] : [empty(205 ^ [])], (123 ^ _32435) ^ [_36695, _36697, _36699] : [-(_36695 = unordered_pair(_36699, _36697)), 127 ^ _32435 : [(132 ^ _32435) ^ [] : [124 ^ [_36695, _36697, _36699] = _36697], (130 ^ _32435) ^ [] : [124 ^ [_36695, _36697, _36699] = _36699], (128 ^ _32435) ^ [] : [-(in(124 ^ [_36695, _36697, _36699], _36695))]], 133 ^ _32435 : [(134 ^ _32435) ^ [] : [-(124 ^ [_36695, _36697, _36699] = _36699), -(124 ^ [_36695, _36697, _36699] = _36697)], (140 ^ _32435) ^ [] : [in(124 ^ [_36695, _36697, _36699], _36695)]]], (166 ^ _32435) ^ [_38214, _38216, _38218] : [-(_38214 = set_intersection2(_38218, _38216)), 178 ^ _32435 : [(183 ^ _32435) ^ [] : [in(167 ^ [_38214, _38216, _38218], _38214)], (181 ^ _32435) ^ [] : [-(in(167 ^ [_38214, _38216, _38218], _38216))], (179 ^ _32435) ^ [] : [-(in(167 ^ [_38214, _38216, _38218], _38218))]], 170 ^ _32435 : [(173 ^ _32435) ^ [] : [in(167 ^ [_38214, _38216, _38218], _38218), in(167 ^ [_38214, _38216, _38218], _38216)], (171 ^ _32435) ^ [] : [-(in(167 ^ [_38214, _38216, _38218], _38214))]]], (204 ^ _32435) ^ [] : [-(empty(202 ^ []))], (4 ^ _32435) ^ [_32666, _32668] : [_32668 = _32666, -(_32666 = _32668)], (199 ^ _32435) ^ [] : [-(empty(empty_set))]], input).
% 53.90/52.73  ncf('1',plain,[-(disjoint(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []))],start(218 ^ 0)).
% 53.90/52.73  ncf('1.1',plain,[disjoint(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []), -(disjoint(216 ^ [], unordered_pair(214 ^ [], 215 ^ [])))],extension(209 ^ 1,bind([[_39691, _39693], [216 ^ [], unordered_pair(214 ^ [], 215 ^ [])]]))).
% 53.90/52.73  ncf('1.1.1',plain,[disjoint(216 ^ [], unordered_pair(214 ^ [], 215 ^ [])), -(set_intersection2(216 ^ [], unordered_pair(214 ^ [], 215 ^ [])) = empty_set)],extension(187 ^ 2,bind([[_38996, _38998], [unordered_pair(214 ^ [], 215 ^ []), 216 ^ []]]))).
% 53.90/52.73  ncf('1.1.1.1',plain,[set_intersection2(216 ^ [], unordered_pair(214 ^ [], 215 ^ [])) = empty_set, -(empty_set = set_intersection2(216 ^ [], unordered_pair(214 ^ [], 215 ^ [])))],extension(4 ^ 3,bind([[_32666, _32668], [empty_set, set_intersection2(216 ^ [], unordered_pair(214 ^ [], 215 ^ []))]]))).
% 53.90/52.73  ncf('1.1.1.1.1',plain,[empty_set = set_intersection2(216 ^ [], unordered_pair(214 ^ [], 215 ^ [])), 156 : -(in(214 ^ [], empty_set)), 156 : in(214 ^ [], 216 ^ []), 156 : in(214 ^ [], unordered_pair(214 ^ [], 215 ^ []))],extension(144 ^ 4,bind([[_37489, _37491, _37493, _37930], [empty_set, unordered_pair(214 ^ [], 215 ^ []), 216 ^ [], 214 ^ []]]))).
% 53.90/52.73  ncf('1.1.1.1.1.1',plain,[in(214 ^ [], empty_set), empty_set = empty_set],extension(88 ^ 7,bind([[_35486, _35599], [empty_set, 214 ^ []]]))).
% 53.90/52.73  ncf('1.1.1.1.1.1.1',plain,[-(empty_set = empty_set), empty_set = set_intersection2(216 ^ [], unordered_pair(214 ^ [], 215 ^ [])), set_intersection2(216 ^ [], unordered_pair(214 ^ [], 215 ^ [])) = empty_set],extension(10 ^ 8,bind([[_32870, _32872, _32874], [empty_set, set_intersection2(216 ^ [], unordered_pair(214 ^ [], 215 ^ [])), empty_set]]))).
% 53.90/52.73  ncf('1.1.1.1.1.1.1.1',plain,[-(empty_set = set_intersection2(216 ^ [], unordered_pair(214 ^ [], 215 ^ [])))],reduction('1.1.1.1')).
% 53.90/52.73  ncf('1.1.1.1.1.1.1.2',plain,[-(set_intersection2(216 ^ [], unordered_pair(214 ^ [], 215 ^ [])) = empty_set)],reduction('1.1.1')).
% 53.90/52.73  ncf('1.1.1.1.1.2',plain,[-(in(214 ^ [], 216 ^ []))],extension(220 ^ 7)).
% 53.90/52.73  ncf('1.1.1.1.1.3',plain,[-(in(214 ^ [], unordered_pair(214 ^ [], 215 ^ []))), 119 : 214 ^ [] = 214 ^ [], 115 : unordered_pair(214 ^ [], 215 ^ []) = unordered_pair(215 ^ [], 214 ^ [])],extension(101 ^ 7,bind([[_35970, _35972, _35974, _36430], [unordered_pair(214 ^ [], 215 ^ []), 214 ^ [], 215 ^ [], 214 ^ []]]))).
% 53.90/52.73  ncf('1.1.1.1.1.3.1',plain,[-(214 ^ [] = 214 ^ [])],extension(2 ^ 12,bind([[_32559], [214 ^ []]]))).
% 53.90/52.73  ncf('1.1.1.1.1.3.2',plain,[-(unordered_pair(214 ^ [], 215 ^ []) = unordered_pair(215 ^ [], 214 ^ []))],extension(84 ^ 8,bind([[_35256, _35258], [215 ^ [], 214 ^ []]]))).
% 53.90/52.73  %-----------------------------------------------------
% 53.90/52.73  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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