TSTP Solution File: SET903+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET903+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 11:56:38 EDT 2023
% Result : Theorem 0.29s 1.38s
% Output : Proof 0.29s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SET903+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n003.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 18:50:30 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.29/1.38
% 0.29/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.29/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.38 %-----------------------------------------------------
% 0.29/1.38 ncf(matrix, plain, [(93 ^ _20618) ^ [] : [-(singleton(89 ^ []) = set_union2(90 ^ [], 91 ^ []))], (95 ^ _20618) ^ [] : [90 ^ [] = 91 ^ []], (97 ^ _20618) ^ [] : [90 ^ [] = empty_set], (99 ^ _20618) ^ [] : [91 ^ [] = empty_set], (46 ^ _20618) ^ [_22211, _22213] : [-(set_union2(_22213, _22211) = set_union2(_22211, _22213))], (48 ^ _20618) ^ [] : [-(empty(empty_set))], (50 ^ _20618) ^ [_22379, _22381] : [-(empty(_22381)), empty(set_union2(_22381, _22379))], (56 ^ _20618) ^ [_22595, _22597] : [-(empty(_22597)), empty(set_union2(_22595, _22597))], (62 ^ _20618) ^ [_22796, _22798] : [-(set_union2(_22798, _22798) = _22798)], (65 ^ _20618) ^ [] : [-(empty(63 ^ []))], (68 ^ _20618) ^ [] : [empty(66 ^ [])], (70 ^ _20618) ^ [_23081, _23083, _23085] : [singleton(_23085) = set_union2(_23083, _23081), 75 ^ _20618 : [(76 ^ _20618) ^ [] : [-(_23083 = singleton(_23085))], (78 ^ _20618) ^ [] : [-(_23081 = singleton(_23085))]], 81 ^ _20618 : [(82 ^ _20618) ^ [] : [-(_23083 = empty_set)], (84 ^ _20618) ^ [] : [-(_23081 = singleton(_23085))]], 85 ^ _20618 : [(86 ^ _20618) ^ [] : [-(_23083 = singleton(_23085))], (88 ^ _20618) ^ [] : [-(_23081 = empty_set)]]], (30 ^ _20618) ^ [_21663, _21665] : [_21665 = _21663, -(singleton(_21665) = singleton(_21663))], (36 ^ _20618) ^ [_21889, _21891, _21893, _21895] : [-(set_union2(_21895, _21891) = set_union2(_21893, _21889)), _21895 = _21893, _21891 = _21889], (20 ^ _20618) ^ [_21366, _21368] : [-(empty(_21366)), _21368 = _21366, empty(_21368)], (2 ^ _20618) ^ [_20762] : [-(_20762 = _20762)], (4 ^ _20618) ^ [_20869, _20871] : [_20871 = _20869, -(_20869 = _20871)], (10 ^ _20618) ^ [_21073, _21075, _21077] : [-(_21077 = _21073), _21077 = _21075, _21075 = _21073]], input).
% 0.29/1.38 ncf('1',plain,[90 ^ [] = 91 ^ []],start(95 ^ 0)).
% 0.29/1.38 ncf('1.1',plain,[-(90 ^ [] = 91 ^ []), 90 ^ [] = singleton(89 ^ []), singleton(89 ^ []) = 91 ^ []],extension(10 ^ 1,bind([[_21073, _21075, _21077], [91 ^ [], singleton(89 ^ []), 90 ^ []]]))).
% 0.29/1.38 ncf('1.1.1',plain,[-(90 ^ [] = singleton(89 ^ [])), singleton(89 ^ []) = set_union2(90 ^ [], 91 ^ []), 82 : -(90 ^ [] = empty_set), 86 : -(90 ^ [] = singleton(89 ^ []))],extension(70 ^ 2,bind([[_23081, _23083, _23085], [91 ^ [], 90 ^ [], 89 ^ []]]))).
% 0.29/1.38 ncf('1.1.1.1',plain,[-(singleton(89 ^ []) = set_union2(90 ^ [], 91 ^ []))],extension(93 ^ 3)).
% 0.29/1.38 ncf('1.1.1.2',plain,[90 ^ [] = empty_set],extension(97 ^ 5)).
% 0.29/1.38 ncf('1.1.1.3',plain,[90 ^ [] = singleton(89 ^ [])],reduction('1.1')).
% 0.29/1.38 ncf('1.1.2',plain,[-(singleton(89 ^ []) = 91 ^ []), 91 ^ [] = singleton(89 ^ [])],extension(4 ^ 2,bind([[_20869, _20871], [singleton(89 ^ []), 91 ^ []]]))).
% 0.29/1.38 ncf('1.1.2.1',plain,[-(91 ^ [] = singleton(89 ^ [])), singleton(89 ^ []) = set_union2(90 ^ [], 91 ^ []), 82 : -(90 ^ [] = empty_set), 88 : -(91 ^ [] = empty_set)],extension(70 ^ 3,bind([[_23081, _23083, _23085], [91 ^ [], 90 ^ [], 89 ^ []]]))).
% 0.29/1.38 ncf('1.1.2.1.1',plain,[-(singleton(89 ^ []) = set_union2(90 ^ [], 91 ^ []))],extension(93 ^ 4)).
% 0.29/1.38 ncf('1.1.2.1.2',plain,[90 ^ [] = empty_set],extension(97 ^ 6)).
% 0.29/1.38 ncf('1.1.2.1.3',plain,[91 ^ [] = empty_set],extension(99 ^ 6)).
% 0.29/1.38 %-----------------------------------------------------
% 0.29/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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