TSTP Solution File: SET882+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET882+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 11:56:36 EDT 2023
% Result : Theorem 0.23s 1.31s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET882+1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.09 % Command : nanocop.sh %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu May 18 19:22:34 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.23/1.31
% 0.23/1.31 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.23/1.31 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/1.31 %-----------------------------------------------------
% 0.23/1.31 ncf(matrix, plain, [(141 ^ _21713) ^ [] : [138 ^ [] = 139 ^ []], (143 ^ _21713) ^ [] : [set_difference(unordered_pair(138 ^ [], 139 ^ []), singleton(139 ^ [])) = singleton(138 ^ [])], (70 ^ _21713) ^ [_24134, _24136] : [in(_24136, _24134), in(_24134, _24136)], (76 ^ _21713) ^ [_24330, _24332] : [-(unordered_pair(_24332, _24330) = unordered_pair(_24330, _24332))], (134 ^ _21713) ^ [] : [-(empty(132 ^ []))], (137 ^ _21713) ^ [] : [empty(135 ^ [])], (109 ^ _21713) ^ [_25574, _25576, _25578] : [set_difference(unordered_pair(_25578, _25576), _25574) = singleton(_25578), 112 ^ _21713 : [(113 ^ _21713) ^ [] : [in(_25578, _25574)], (115 ^ _21713) ^ [] : [-(in(_25576, _25574)), -(_25578 = _25576)]]], (121 ^ _21713) ^ [_25930, _25932, _25934] : [-(set_difference(unordered_pair(_25934, _25932), _25930) = singleton(_25934)), -(in(_25934, _25930)), 126 ^ _21713 : [(127 ^ _21713) ^ [] : [in(_25932, _25930)], (129 ^ _21713) ^ [] : [_25934 = _25932]]], (94 ^ _21713) ^ [_24995, _24997] : [-(_24995 = singleton(_24997)), 98 ^ _21713 : [(99 ^ _21713) ^ [] : [-(in(95 ^ [_24995, _24997], _24995))], (101 ^ _21713) ^ [] : [95 ^ [_24995, _24997] = _24997]], 102 ^ _21713 : [(103 ^ _21713) ^ [] : [-(95 ^ [_24995, _24997] = _24997)], (105 ^ _21713) ^ [] : [in(95 ^ [_24995, _24997], _24995)]]], (78 ^ _21713) ^ [_24474, _24476] : [_24474 = singleton(_24476), 81 ^ _21713 : [(82 ^ _21713) ^ [_24644] : [in(_24644, _24474), -(_24644 = _24476)], (88 ^ _21713) ^ [_24816] : [_24816 = _24476, -(in(_24816, _24474))]]], (44 ^ _21713) ^ [_23236, _23238, _23240, _23242] : [-(set_difference(_23242, _23238) = set_difference(_23240, _23236)), _23242 = _23240, _23238 = _23236], (64 ^ _21713) ^ [_23906, _23908] : [_23908 = _23906, -(singleton(_23908) = singleton(_23906))], (54 ^ _21713) ^ [_23595, _23597, _23599, _23601] : [-(unordered_pair(_23601, _23597) = unordered_pair(_23599, _23595)), _23601 = _23599, _23597 = _23595], (2 ^ _21713) ^ [_21857] : [-(_21857 = _21857)], (4 ^ _21713) ^ [_21964, _21966] : [_21966 = _21964, -(_21964 = _21966)], (10 ^ _21713) ^ [_22168, _22170, _22172] : [-(_22172 = _22168), _22172 = _22170, _22170 = _22168], (34 ^ _21713) ^ [_22905, _22907] : [-(empty(_22905)), _22907 = _22905, empty(_22907)], (20 ^ _21713) ^ [_22509, _22511, _22513, _22515] : [-(in(_22513, _22509)), in(_22515, _22511), _22515 = _22513, _22511 = _22509]], input).
% 0.23/1.31 ncf('1',plain,[set_difference(unordered_pair(138 ^ [], 139 ^ []), singleton(139 ^ [])) = singleton(138 ^ [])],start(143 ^ 0)).
% 0.23/1.31 ncf('1.1',plain,[-(set_difference(unordered_pair(138 ^ [], 139 ^ []), singleton(139 ^ [])) = singleton(138 ^ [])), -(in(138 ^ [], singleton(139 ^ []))), 127 : in(139 ^ [], singleton(139 ^ []))],extension(121 ^ 1,bind([[_25930, _25932, _25934], [singleton(139 ^ []), 139 ^ [], 138 ^ []]]))).
% 0.23/1.31 ncf('1.1.1',plain,[in(138 ^ [], singleton(139 ^ [])), 82 : -(138 ^ [] = 139 ^ []), 82 : singleton(139 ^ []) = singleton(139 ^ [])],extension(78 ^ 2,bind([[_24474, _24476, _24644], [singleton(139 ^ []), 139 ^ [], 138 ^ []]]))).
% 0.23/1.31 ncf('1.1.1.1',plain,[138 ^ [] = 139 ^ []],extension(141 ^ 5)).
% 0.23/1.31 ncf('1.1.1.2',plain,[-(singleton(139 ^ []) = singleton(139 ^ []))],extension(2 ^ 3,bind([[_21857], [singleton(139 ^ [])]]))).
% 0.23/1.31 ncf('1.1.2',plain,[-(in(139 ^ [], singleton(139 ^ []))), 88 : 139 ^ [] = 139 ^ [], 88 : singleton(139 ^ []) = singleton(139 ^ [])],extension(78 ^ 4,bind([[_24474, _24476, _24816], [singleton(139 ^ []), 139 ^ [], 139 ^ []]]))).
% 0.23/1.31 ncf('1.1.2.1',plain,[-(139 ^ [] = 139 ^ [])],extension(2 ^ 7,bind([[_21857], [139 ^ []]]))).
% 0.23/1.31 ncf('1.1.2.2',plain,[-(singleton(139 ^ []) = singleton(139 ^ []))],extension(2 ^ 5,bind([[_21857], [singleton(139 ^ [])]]))).
% 0.23/1.31 %-----------------------------------------------------
% 0.23/1.31 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------