TSTP Solution File: SET930+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET930+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 0.42s 1.39s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET930+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 18:51:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.42/1.39
% 0.42/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.42/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/1.39 %-----------------------------------------------------
% 0.42/1.39 ncf(matrix, plain, [(149 ^ _27192) ^ [] : [set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = empty_set], (151 ^ _27192) ^ [] : [set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = singleton(145 ^ [])], (153 ^ _27192) ^ [] : [set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = singleton(146 ^ [])], (155 ^ _27192) ^ [] : [set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = unordered_pair(145 ^ [], 146 ^ [])], (70 ^ _27192) ^ [_29613, _29615] : [in(_29615, _29613), in(_29613, _29615)], (76 ^ _27192) ^ [_29809, _29811] : [-(unordered_pair(_29811, _29809) = unordered_pair(_29809, _29811))], (78 ^ _27192) ^ [] : [-(empty(empty_set))], (80 ^ _27192) ^ [_30020, _30022, _30024] : [set_difference(unordered_pair(_30024, _30022), _30020) = singleton(_30024), 83 ^ _27192 : [(84 ^ _27192) ^ [] : [in(_30024, _30020)], (86 ^ _27192) ^ [] : [-(in(_30022, _30020)), -(_30024 = _30022)]]], (92 ^ _27192) ^ [_30376, _30378, _30380] : [-(set_difference(unordered_pair(_30380, _30378), _30376) = singleton(_30380)), -(in(_30380, _30376)), 97 ^ _27192 : [(98 ^ _27192) ^ [] : [in(_30378, _30376)], (100 ^ _27192) ^ [] : [_30380 = _30378]]], (105 ^ _27192) ^ [] : [-(empty(103 ^ []))], (108 ^ _27192) ^ [] : [empty(106 ^ [])], (110 ^ _27192) ^ [_31004, _31006, _31008] : [set_difference(unordered_pair(_31008, _31006), _31004) = unordered_pair(_31008, _31006), 113 ^ _27192 : [(114 ^ _27192) ^ [] : [in(_31008, _31004)], (116 ^ _27192) ^ [] : [in(_31006, _31004)]]], (118 ^ _27192) ^ [_31269, _31271, _31273] : [-(set_difference(unordered_pair(_31273, _31271), _31269) = unordered_pair(_31273, _31271)), -(in(_31273, _31269)), -(in(_31271, _31269))], (128 ^ _27192) ^ [_31627, _31629, _31631] : [set_difference(unordered_pair(_31631, _31629), _31627) = empty_set, 131 ^ _27192 : [(132 ^ _27192) ^ [] : [-(in(_31631, _31627))], (134 ^ _27192) ^ [] : [-(in(_31629, _31627))]]], (136 ^ _27192) ^ [_31884, _31886, _31888] : [-(set_difference(unordered_pair(_31888, _31886), _31884) = empty_set), in(_31888, _31884), in(_31886, _31884)], (44 ^ _27192) ^ [_28687, _28689] : [_28689 = _28687, -(singleton(_28689) = singleton(_28687))], (50 ^ _27192) ^ [_28933, _28935, _28937, _28939] : [-(set_difference(_28939, _28935) = set_difference(_28937, _28933)), _28939 = _28937, _28935 = _28933], (60 ^ _27192) ^ [_29272, _29274, _29276, _29278] : [-(unordered_pair(_29278, _29274) = unordered_pair(_29276, _29272)), _29278 = _29276, _29274 = _29272], (2 ^ _27192) ^ [_27336] : [-(_27336 = _27336)], (4 ^ _27192) ^ [_27443, _27445] : [_27445 = _27443, -(_27443 = _27445)], (10 ^ _27192) ^ [_27647, _27649, _27651] : [-(_27651 = _27647), _27651 = _27649, _27649 = _27647], (20 ^ _27192) ^ [_27960, _27962] : [-(empty(_27960)), _27962 = _27960, empty(_27962)], (30 ^ _27192) ^ [_28263, _28265, _28267, _28269] : [-(in(_28267, _28263)), in(_28269, _28265), _28269 = _28267, _28265 = _28263]], input).
% 0.42/1.39 ncf('1',plain,[set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = singleton(146 ^ [])],start(153 ^ 0)).
% 0.42/1.39 ncf('1.1',plain,[-(set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = singleton(146 ^ [])), set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = set_difference(unordered_pair(146 ^ [], 145 ^ []), 147 ^ []), set_difference(unordered_pair(146 ^ [], 145 ^ []), 147 ^ []) = singleton(146 ^ [])],extension(10 ^ 1,bind([[_27647, _27649, _27651], [singleton(146 ^ []), set_difference(unordered_pair(146 ^ [], 145 ^ []), 147 ^ []), set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ [])]]))).
% 0.42/1.39 ncf('1.1.1',plain,[-(set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = set_difference(unordered_pair(146 ^ [], 145 ^ []), 147 ^ [])), unordered_pair(145 ^ [], 146 ^ []) = unordered_pair(146 ^ [], 145 ^ []), 147 ^ [] = 147 ^ []],extension(50 ^ 2,bind([[_28933, _28935, _28937, _28939], [147 ^ [], 147 ^ [], unordered_pair(146 ^ [], 145 ^ []), unordered_pair(145 ^ [], 146 ^ [])]]))).
% 0.42/1.39 ncf('1.1.1.1',plain,[-(unordered_pair(145 ^ [], 146 ^ []) = unordered_pair(146 ^ [], 145 ^ []))],extension(76 ^ 3,bind([[_29809, _29811], [146 ^ [], 145 ^ []]]))).
% 0.42/1.39 ncf('1.1.1.2',plain,[-(147 ^ [] = 147 ^ [])],extension(2 ^ 3,bind([[_27336], [147 ^ []]]))).
% 0.42/1.39 ncf('1.1.2',plain,[-(set_difference(unordered_pair(146 ^ [], 145 ^ []), 147 ^ []) = singleton(146 ^ [])), -(in(146 ^ [], 147 ^ [])), 98 : in(145 ^ [], 147 ^ [])],extension(92 ^ 2,bind([[_30376, _30378, _30380], [147 ^ [], 145 ^ [], 146 ^ []]]))).
% 0.42/1.39 ncf('1.1.2.1',plain,[in(146 ^ [], 147 ^ []), -(set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = singleton(145 ^ [])), -(in(145 ^ [], 147 ^ []))],extension(92 ^ 3,bind([[_30376, _30378, _30380], [147 ^ [], 146 ^ [], 145 ^ []]]))).
% 0.42/1.39 ncf('1.1.2.1.1',plain,[set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = singleton(145 ^ [])],extension(151 ^ 4)).
% 0.42/1.39 ncf('1.1.2.1.2',plain,[in(145 ^ [], 147 ^ []), -(set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = empty_set), in(146 ^ [], 147 ^ [])],extension(136 ^ 4,bind([[_31884, _31886, _31888], [147 ^ [], 146 ^ [], 145 ^ []]]))).
% 0.42/1.39 ncf('1.1.2.1.2.1',plain,[set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = empty_set],extension(149 ^ 5)).
% 0.42/1.39 ncf('1.1.2.1.2.2',plain,[-(in(146 ^ [], 147 ^ []))],reduction('1.1.2')).
% 0.42/1.39 ncf('1.1.2.2',plain,[-(in(145 ^ [], 147 ^ [])), -(set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = singleton(145 ^ [])), 98 : in(146 ^ [], 147 ^ [])],extension(92 ^ 5,bind([[_30376, _30378, _30380], [147 ^ [], 146 ^ [], 145 ^ []]]))).
% 0.42/1.39 ncf('1.1.2.2.1',plain,[set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = singleton(145 ^ [])],extension(151 ^ 6)).
% 0.42/1.39 ncf('1.1.2.2.2',plain,[-(in(146 ^ [], 147 ^ [])), -(set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = unordered_pair(145 ^ [], 146 ^ [])), -(in(145 ^ [], 147 ^ []))],extension(118 ^ 8,bind([[_31269, _31271, _31273], [147 ^ [], 146 ^ [], 145 ^ []]]))).
% 0.42/1.39 ncf('1.1.2.2.2.1',plain,[set_difference(unordered_pair(145 ^ [], 146 ^ []), 147 ^ []) = unordered_pair(145 ^ [], 146 ^ [])],extension(155 ^ 9)).
% 0.42/1.39 ncf('1.1.2.2.2.2',plain,[in(145 ^ [], 147 ^ [])],reduction('1.1.2')).
% 0.42/1.39 %-----------------------------------------------------
% 0.42/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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