TSTP Solution File: SET886+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n002.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 43.27s 42.85s
% Output : Proof 43.27s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14 % Command : nanocop.sh %s %d
% 0.12/0.36 % Computer : n002.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Thu May 18 19:35:04 EDT 2023
% 0.12/0.36 % CPUTime :
% 43.27/42.85
% 43.27/42.85 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.27/42.85 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.27/42.85 %-----------------------------------------------------
% 43.27/42.85 ncf(matrix, plain, [(83 ^ _20721) ^ [] : [unordered_pair(77 ^ [], 78 ^ []) = singleton(79 ^ [])], (81 ^ _20721) ^ [] : [-(subset(unordered_pair(77 ^ [], 78 ^ []), singleton(79 ^ [])))], !, (70 ^ _17910) ^ [_20335, _20337, _20339] : [subset(unordered_pair(_20339, _20337), singleton(_20335)), -(_20339 = _20335)], (63 ^ _17910) ^ [] : [-(empty(61 ^ []))], (30 ^ _17910) ^ [_18961, _18963, _18965, _18967] : [-(subset(_18965, _18961)), subset(_18967, _18963), _18967 = _18965, _18963 = _18961], (4 ^ _17910) ^ [_18141, _18143] : [_18143 = _18141, -(_18141 = _18143)], (76 ^ _17910) ^ [_20512] : [-(unordered_pair(_20512, _20512) = singleton(_20512))], (66 ^ _17910) ^ [] : [empty(64 ^ [])], (44 ^ _17910) ^ [_19413, _19415, _19417, _19419] : [-(unordered_pair(_19419, _19415) = unordered_pair(_19417, _19413)), _19419 = _19417, _19415 = _19413], (20 ^ _17910) ^ [_18658, _18660] : [-(empty(_18658)), _18660 = _18658, empty(_18660)], (54 ^ _17910) ^ [_19724, _19726] : [_19726 = _19724, -(singleton(_19726) = singleton(_19724))], (10 ^ _17910) ^ [_18345, _18347, _18349] : [-(_18349 = _18345), _18349 = _18347, _18347 = _18345], (2 ^ _17910) ^ [_18034] : [-(_18034 = _18034)], (68 ^ _17910) ^ [_20212, _20214] : [-(subset(_20214, _20214))], (60 ^ _17910) ^ [_19933, _19935] : [-(unordered_pair(_19935, _19933) = unordered_pair(_19933, _19935))]], input).
% 43.27/42.85 ncf('1',plain,[-(subset(unordered_pair(77 ^ [], 78 ^ []), singleton(79 ^ [])))],start(81 ^ 0)).
% 43.27/42.85 ncf('1.1',plain,[subset(unordered_pair(77 ^ [], 78 ^ []), singleton(79 ^ [])), -(77 ^ [] = 79 ^ [])],extension(70 ^ 1,bind([[_20335, _20337, _20339], [79 ^ [], 78 ^ [], 77 ^ []]]))).
% 43.27/42.85 ncf('1.1.1',plain,[77 ^ [] = 79 ^ [], -(unordered_pair(77 ^ [], 78 ^ []) = unordered_pair(79 ^ [], 79 ^ [])), 78 ^ [] = 79 ^ []],extension(44 ^ 2,bind([[_19413, _19415, _19417, _19419], [79 ^ [], 78 ^ [], 79 ^ [], 77 ^ []]]))).
% 43.27/42.85 ncf('1.1.1.1',plain,[unordered_pair(77 ^ [], 78 ^ []) = unordered_pair(79 ^ [], 79 ^ []), -(unordered_pair(77 ^ [], 78 ^ []) = singleton(79 ^ [])), unordered_pair(79 ^ [], 79 ^ []) = singleton(79 ^ [])],extension(10 ^ 3,bind([[_18345, _18347, _18349], [singleton(79 ^ []), unordered_pair(79 ^ [], 79 ^ []), unordered_pair(77 ^ [], 78 ^ [])]]))).
% 43.27/42.85 ncf('1.1.1.1.1',plain,[unordered_pair(77 ^ [], 78 ^ []) = singleton(79 ^ [])],extension(83 ^ 4)).
% 43.27/42.85 ncf('1.1.1.1.2',plain,[-(unordered_pair(79 ^ [], 79 ^ []) = singleton(79 ^ []))],extension(76 ^ 4,bind([[_20512], [79 ^ []]]))).
% 43.27/42.85 ncf('1.1.1.2',plain,[-(78 ^ [] = 79 ^ []), subset(unordered_pair(78 ^ [], 77 ^ []), singleton(79 ^ []))],extension(70 ^ 3,bind([[_20335, _20337, _20339], [79 ^ [], 77 ^ [], 78 ^ []]]))).
% 43.27/42.85 ncf('1.1.1.2.1',plain,[-(subset(unordered_pair(78 ^ [], 77 ^ []), singleton(79 ^ []))), subset(unordered_pair(77 ^ [], 78 ^ []), singleton(79 ^ [])), unordered_pair(77 ^ [], 78 ^ []) = unordered_pair(78 ^ [], 77 ^ []), singleton(79 ^ []) = singleton(79 ^ [])],extension(30 ^ 4,bind([[_18961, _18963, _18965, _18967], [singleton(79 ^ []), singleton(79 ^ []), unordered_pair(78 ^ [], 77 ^ []), unordered_pair(77 ^ [], 78 ^ [])]]))).
% 43.27/42.85 ncf('1.1.1.2.1.1',plain,[-(subset(unordered_pair(77 ^ [], 78 ^ []), singleton(79 ^ [])))],reduction('1')).
% 43.27/42.85 ncf('1.1.1.2.1.2',plain,[-(unordered_pair(77 ^ [], 78 ^ []) = unordered_pair(78 ^ [], 77 ^ []))],extension(60 ^ 5,bind([[_19933, _19935], [78 ^ [], 77 ^ []]]))).
% 43.27/42.85 ncf('1.1.1.2.1.3',plain,[-(singleton(79 ^ []) = singleton(79 ^ []))],extension(2 ^ 5,bind([[_18034], [singleton(79 ^ [])]]))).
% 43.27/42.85 %-----------------------------------------------------
% 43.27/42.85 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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