TSTP Solution File: SET927+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET927+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.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 0.32s 1.37s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET927+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.32 % Computer : n022.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 18 19:16:02 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.32/1.37
% 0.32/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.37 %-----------------------------------------------------
% 0.32/1.37 ncf(matrix, plain, [(111 ^ _22592) ^ [] : [112 ^ _22592 : [(113 ^ _22592) ^ [] : [-(set_difference(unordered_pair(107 ^ [], 108 ^ []), 109 ^ []) = singleton(107 ^ []))], (115 ^ _22592) ^ [] : [-(in(107 ^ [], 109 ^ [])), 118 ^ _22592 : [(119 ^ _22592) ^ [] : [in(108 ^ [], 109 ^ [])], (121 ^ _22592) ^ [] : [107 ^ [] = 108 ^ []]]]], 122 ^ _22592 : [(131 ^ _22592) ^ [] : [set_difference(unordered_pair(107 ^ [], 108 ^ []), 109 ^ []) = singleton(107 ^ [])], (123 ^ _22592) ^ [] : [in(107 ^ [], 109 ^ [])], (125 ^ _22592) ^ [] : [-(in(108 ^ [], 109 ^ [])), -(107 ^ [] = 108 ^ [])]]], (70 ^ _22592) ^ [_24998, _25000] : [-(unordered_pair(_25000, _24998) = unordered_pair(_24998, _25000))], (72 ^ _22592) ^ [_25113, _25115] : [in(_25115, _25113), in(_25113, _25115)], (79 ^ _22592) ^ [] : [-(empty(77 ^ []))], (82 ^ _22592) ^ [] : [empty(80 ^ [])], (84 ^ _22592) ^ [_25526, _25528, _25530] : [set_difference(unordered_pair(_25530, _25528), _25526) = singleton(_25530), 87 ^ _22592 : [(88 ^ _22592) ^ [] : [in(_25530, _25526)], (90 ^ _22592) ^ [] : [-(in(_25528, _25526)), -(_25530 = _25528)]]], (96 ^ _22592) ^ [_25882, _25884, _25886] : [-(set_difference(unordered_pair(_25886, _25884), _25882) = singleton(_25886)), -(in(_25886, _25882)), 101 ^ _22592 : [(102 ^ _22592) ^ [] : [in(_25884, _25882)], (104 ^ _22592) ^ [] : [_25886 = _25884]]], (44 ^ _22592) ^ [_24115, _24117, _24119, _24121] : [-(set_difference(_24121, _24117) = set_difference(_24119, _24115)), _24121 = _24119, _24117 = _24115], (64 ^ _22592) ^ [_24785, _24787] : [_24787 = _24785, -(singleton(_24787) = singleton(_24785))], (54 ^ _22592) ^ [_24474, _24476, _24478, _24480] : [-(unordered_pair(_24480, _24476) = unordered_pair(_24478, _24474)), _24480 = _24478, _24476 = _24474], (2 ^ _22592) ^ [_22736] : [-(_22736 = _22736)], (4 ^ _22592) ^ [_22843, _22845] : [_22845 = _22843, -(_22843 = _22845)], (10 ^ _22592) ^ [_23047, _23049, _23051] : [-(_23051 = _23047), _23051 = _23049, _23049 = _23047], (20 ^ _22592) ^ [_23360, _23362] : [-(empty(_23360)), _23362 = _23360, empty(_23362)], (30 ^ _22592) ^ [_23663, _23665, _23667, _23669] : [-(in(_23667, _23663)), in(_23669, _23665), _23669 = _23667, _23665 = _23663]], input).
% 0.32/1.37 ncf('1',plain,[set_difference(unordered_pair(107 ^ [], 108 ^ []), 109 ^ []) = singleton(107 ^ []), 88 : in(107 ^ [], 109 ^ [])],start(84 ^ 0,bind([[_25526, _25528, _25530], [109 ^ [], 108 ^ [], 107 ^ []]]))).
% 0.32/1.37 ncf('1.1',plain,[-(set_difference(unordered_pair(107 ^ [], 108 ^ []), 109 ^ []) = singleton(107 ^ [])), 125 : -(in(108 ^ [], 109 ^ [])), 125 : -(107 ^ [] = 108 ^ [])],extension(111 ^ 1)).
% 0.32/1.37 ncf('1.1.1',plain,[in(108 ^ [], 109 ^ []), -(set_difference(unordered_pair(107 ^ [], 108 ^ []), 109 ^ []) = singleton(107 ^ [])), -(in(107 ^ [], 109 ^ []))],extension(96 ^ 4,bind([[_25882, _25884, _25886], [109 ^ [], 108 ^ [], 107 ^ []]]))).
% 0.32/1.37 ncf('1.1.1.1',plain,[set_difference(unordered_pair(107 ^ [], 108 ^ []), 109 ^ []) = singleton(107 ^ [])],reduction('1')).
% 0.32/1.37 ncf('1.1.1.2',plain,[in(107 ^ [], 109 ^ [])],extension(123 ^ 5)).
% 0.32/1.37 ncf('1.1.2',plain,[107 ^ [] = 108 ^ [], -(set_difference(unordered_pair(107 ^ [], 108 ^ []), 109 ^ []) = singleton(107 ^ [])), -(in(107 ^ [], 109 ^ []))],extension(96 ^ 4,bind([[_25882, _25884, _25886], [109 ^ [], 108 ^ [], 107 ^ []]]))).
% 0.32/1.37 ncf('1.1.2.1',plain,[set_difference(unordered_pair(107 ^ [], 108 ^ []), 109 ^ []) = singleton(107 ^ [])],reduction('1')).
% 0.32/1.37 ncf('1.1.2.2',plain,[in(107 ^ [], 109 ^ [])],extension(123 ^ 5)).
% 0.32/1.37 ncf('1.2',plain,[-(in(107 ^ [], 109 ^ [])), 119 : in(108 ^ [], 109 ^ []), 131 : set_difference(unordered_pair(107 ^ [], 108 ^ []), 109 ^ []) = singleton(107 ^ [])],extension(111 ^ 3)).
% 0.32/1.37 ncf('1.2.1',plain,[-(in(108 ^ [], 109 ^ [])), -(107 ^ [] = 108 ^ [])],extension(90 ^ 8)).
% 0.32/1.37 ncf('1.2.1.1',plain,[107 ^ [] = 108 ^ []],extension(121 ^ 9)).
% 0.32/1.37 ncf('1.2.2',plain,[-(set_difference(unordered_pair(107 ^ [], 108 ^ []), 109 ^ []) = singleton(107 ^ []))],lemmata('x')).
% 0.32/1.37 %-----------------------------------------------------
% 0.32/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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