TSTP Solution File: SET877+1 by nanoCoP---2.0
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- Process Solution
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% File : nanoCoP---2.0
% Problem : SET877+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.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 11:56:35 EDT 2023
% Result : Theorem 101.15s 98.58s
% Output : Proof 101.15s
% 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 : SET877+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 19:12:00 EDT 2023
% 0.12/0.34 % CPUTime :
% 101.15/98.58
% 101.15/98.58 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.15/98.58 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.15/98.58 %-----------------------------------------------------
% 101.15/98.58 ncf(matrix, plain, [(115 ^ _19392) ^ [] : [-(set_intersection2(singleton(112 ^ []), singleton(113 ^ [])) = singleton(112 ^ []))], (117 ^ _19392) ^ [] : [112 ^ [] = 113 ^ []], (60 ^ _19392) ^ [_21450, _21452] : [in(_21452, _21450), in(_21450, _21452)], (66 ^ _19392) ^ [_21646, _21648] : [-(set_intersection2(_21648, _21646) = set_intersection2(_21646, _21648))], (99 ^ _19392) ^ [_22832, _22834] : [-(set_intersection2(_22834, _22834) = _22834)], (108 ^ _19392) ^ [] : [-(empty(106 ^ []))], (111 ^ _19392) ^ [] : [empty(109 ^ [])], (101 ^ _19392) ^ [_22944, _22946] : [set_intersection2(_22946, singleton(_22944)) = singleton(_22944), -(in(_22944, _22946))], (84 ^ _19392) ^ [_22311, _22313] : [-(_22311 = singleton(_22313)), 88 ^ _19392 : [(89 ^ _19392) ^ [] : [-(in(85 ^ [_22311, _22313], _22311))], (91 ^ _19392) ^ [] : [85 ^ [_22311, _22313] = _22313]], 92 ^ _19392 : [(93 ^ _19392) ^ [] : [-(85 ^ [_22311, _22313] = _22313)], (95 ^ _19392) ^ [] : [in(85 ^ [_22311, _22313], _22311)]]], (68 ^ _19392) ^ [_21790, _21792] : [_21790 = singleton(_21792), 71 ^ _19392 : [(72 ^ _19392) ^ [_21960] : [in(_21960, _21790), -(_21960 = _21792)], (78 ^ _19392) ^ [_22132] : [_22132 = _21792, -(in(_22132, _21790))]]], (54 ^ _19392) ^ [_21226, _21228] : [_21228 = _21226, -(singleton(_21228) = singleton(_21226))], (44 ^ _19392) ^ [_20915, _20917, _20919, _20921] : [-(set_intersection2(_20921, _20917) = set_intersection2(_20919, _20915)), _20921 = _20919, _20917 = _20915], (2 ^ _19392) ^ [_19536] : [-(_19536 = _19536)], (4 ^ _19392) ^ [_19643, _19645] : [_19645 = _19643, -(_19643 = _19645)], (10 ^ _19392) ^ [_19847, _19849, _19851] : [-(_19851 = _19847), _19851 = _19849, _19849 = _19847], (34 ^ _19392) ^ [_20584, _20586] : [-(empty(_20584)), _20586 = _20584, empty(_20586)], (20 ^ _19392) ^ [_20188, _20190, _20192, _20194] : [-(in(_20192, _20188)), in(_20194, _20190), _20194 = _20192, _20190 = _20188]], input).
% 101.15/98.58 ncf('1',plain,[112 ^ [] = 113 ^ []],start(117 ^ 0)).
% 101.15/98.58 ncf('1.1',plain,[-(112 ^ [] = 113 ^ []), 72 : in(112 ^ [], singleton(113 ^ [])), 72 : singleton(113 ^ []) = singleton(113 ^ [])],extension(68 ^ 1,bind([[_21790, _21792, _21960], [singleton(113 ^ []), 113 ^ [], 112 ^ []]]))).
% 101.15/98.58 ncf('1.1.1',plain,[-(in(112 ^ [], singleton(113 ^ []))), set_intersection2(singleton(113 ^ []), singleton(112 ^ [])) = singleton(112 ^ [])],extension(101 ^ 4,bind([[_22944, _22946], [112 ^ [], singleton(113 ^ [])]]))).
% 101.15/98.58 ncf('1.1.1.1',plain,[-(set_intersection2(singleton(113 ^ []), singleton(112 ^ [])) = singleton(112 ^ [])), set_intersection2(singleton(113 ^ []), singleton(112 ^ [])) = set_intersection2(singleton(112 ^ []), singleton(113 ^ [])), set_intersection2(singleton(112 ^ []), singleton(113 ^ [])) = singleton(112 ^ [])],extension(10 ^ 5,bind([[_19847, _19849, _19851], [singleton(112 ^ []), set_intersection2(singleton(112 ^ []), singleton(113 ^ [])), set_intersection2(singleton(113 ^ []), singleton(112 ^ []))]]))).
% 101.15/98.58 ncf('1.1.1.1.1',plain,[-(set_intersection2(singleton(113 ^ []), singleton(112 ^ [])) = set_intersection2(singleton(112 ^ []), singleton(113 ^ [])))],extension(66 ^ 6,bind([[_21646, _21648], [singleton(112 ^ []), singleton(113 ^ [])]]))).
% 101.15/98.58 ncf('1.1.1.1.2',plain,[-(set_intersection2(singleton(112 ^ []), singleton(113 ^ [])) = singleton(112 ^ []))],extension(115 ^ 6)).
% 101.15/98.58 ncf('1.1.2',plain,[-(singleton(113 ^ []) = singleton(113 ^ [])), 72 : in(singleton(113 ^ []), singleton(singleton(113 ^ []))), 72 : singleton(singleton(113 ^ [])) = singleton(singleton(113 ^ []))],extension(68 ^ 2,bind([[_21790, _21792, _21960], [singleton(singleton(113 ^ [])), singleton(113 ^ []), singleton(113 ^ [])]]))).
% 101.15/98.58 ncf('1.1.2.1',plain,[-(in(singleton(113 ^ []), singleton(singleton(113 ^ [])))), set_intersection2(singleton(singleton(113 ^ [])), singleton(singleton(113 ^ []))) = singleton(singleton(113 ^ []))],extension(101 ^ 5,bind([[_22944, _22946], [singleton(113 ^ []), singleton(singleton(113 ^ []))]]))).
% 101.15/98.58 ncf('1.1.2.1.1',plain,[-(set_intersection2(singleton(singleton(113 ^ [])), singleton(singleton(113 ^ []))) = singleton(singleton(113 ^ [])))],extension(99 ^ 6,bind([[_22832, _22834], [_14615, singleton(singleton(113 ^ []))]]))).
% 101.15/98.58 ncf('1.1.2.2',plain,[-(singleton(singleton(113 ^ [])) = singleton(singleton(113 ^ [])))],extension(2 ^ 3,bind([[_19536], [singleton(singleton(113 ^ []))]]))).
% 101.15/98.58 %-----------------------------------------------------
% 101.15/98.58 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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