TSTP Solution File: SET879+1 by nanoCoP---2.0
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% File : nanoCoP---2.0
% Problem : SET879+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n005.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 0.34s 1.38s
% Output : Proof 0.34s
% 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 : SET879+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 19:06:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(117 ^ _18634) ^ [] : [118 ^ _18634 : [(119 ^ _18634) ^ [] : [-(set_difference(singleton(114 ^ []), singleton(115 ^ [])) = singleton(114 ^ []))], (121 ^ _18634) ^ [] : [-(114 ^ [] = 115 ^ [])]], 122 ^ _18634 : [(123 ^ _18634) ^ [] : [114 ^ [] = 115 ^ []], (125 ^ _18634) ^ [] : [set_difference(singleton(114 ^ []), singleton(115 ^ [])) = singleton(114 ^ [])]]], (60 ^ _18634) ^ [_20692, _20694] : [in(_20694, _20692), in(_20692, _20694)], (110 ^ _18634) ^ [] : [-(empty(108 ^ []))], (113 ^ _18634) ^ [] : [empty(111 ^ [])], (97 ^ _18634) ^ [_22018, _22020] : [set_difference(singleton(_22020), _22018) = singleton(_22020), in(_22020, _22018)], (103 ^ _18634) ^ [_22195, _22197] : [-(in(_22197, _22195)), -(set_difference(singleton(_22197), _22195) = singleton(_22197))], (82 ^ _18634) ^ [_21453, _21455] : [-(_21453 = singleton(_21455)), 86 ^ _18634 : [(87 ^ _18634) ^ [] : [-(in(83 ^ [_21453, _21455], _21453))], (89 ^ _18634) ^ [] : [83 ^ [_21453, _21455] = _21455]], 90 ^ _18634 : [(91 ^ _18634) ^ [] : [-(83 ^ [_21453, _21455] = _21455)], (93 ^ _18634) ^ [] : [in(83 ^ [_21453, _21455], _21453)]]], (66 ^ _18634) ^ [_20932, _20934] : [_20932 = singleton(_20934), 69 ^ _18634 : [(70 ^ _18634) ^ [_21102] : [in(_21102, _20932), -(_21102 = _20934)], (76 ^ _18634) ^ [_21274] : [_21274 = _20934, -(in(_21274, _20932))]]], (54 ^ _18634) ^ [_20468, _20470] : [_20470 = _20468, -(singleton(_20470) = singleton(_20468))], (44 ^ _18634) ^ [_20157, _20159, _20161, _20163] : [-(set_difference(_20163, _20159) = set_difference(_20161, _20157)), _20163 = _20161, _20159 = _20157], (2 ^ _18634) ^ [_18778] : [-(_18778 = _18778)], (4 ^ _18634) ^ [_18885, _18887] : [_18887 = _18885, -(_18885 = _18887)], (10 ^ _18634) ^ [_19089, _19091, _19093] : [-(_19093 = _19089), _19093 = _19091, _19091 = _19089], (34 ^ _18634) ^ [_19826, _19828] : [-(empty(_19826)), _19828 = _19826, empty(_19828)], (20 ^ _18634) ^ [_19430, _19432, _19434, _19436] : [-(in(_19434, _19430)), in(_19436, _19432), _19436 = _19434, _19432 = _19430]], input).
% 0.34/1.38 ncf('1',plain,[set_difference(singleton(114 ^ []), singleton(115 ^ [])) = singleton(114 ^ []), in(114 ^ [], singleton(115 ^ []))],start(97 ^ 0,bind([[_22018, _22020], [singleton(115 ^ []), 114 ^ []]]))).
% 0.34/1.38 ncf('1.1',plain,[-(set_difference(singleton(114 ^ []), singleton(115 ^ [])) = singleton(114 ^ [])), 123 : 114 ^ [] = 115 ^ []],extension(117 ^ 1)).
% 0.34/1.38 ncf('1.1.1',plain,[-(114 ^ [] = 115 ^ []), 70 : in(114 ^ [], singleton(115 ^ [])), 70 : singleton(115 ^ []) = singleton(115 ^ [])],extension(66 ^ 4,bind([[_20932, _20934, _21102], [singleton(115 ^ []), 115 ^ [], 114 ^ []]]))).
% 0.34/1.38 ncf('1.1.1.1',plain,[-(in(114 ^ [], singleton(115 ^ []))), -(set_difference(singleton(114 ^ []), singleton(115 ^ [])) = singleton(114 ^ []))],extension(103 ^ 7,bind([[_22195, _22197], [singleton(115 ^ []), 114 ^ []]]))).
% 0.34/1.38 ncf('1.1.1.1.1',plain,[set_difference(singleton(114 ^ []), singleton(115 ^ [])) = singleton(114 ^ [])],reduction('1')).
% 0.34/1.38 ncf('1.1.1.2',plain,[-(singleton(115 ^ []) = singleton(115 ^ []))],extension(2 ^ 5,bind([[_18778], [singleton(115 ^ [])]]))).
% 0.34/1.38 ncf('1.2',plain,[-(in(114 ^ [], singleton(115 ^ []))), 76 : 114 ^ [] = 115 ^ [], 76 : singleton(115 ^ []) = singleton(115 ^ [])],extension(66 ^ 1,bind([[_20932, _20934, _21274], [singleton(115 ^ []), 115 ^ [], 114 ^ []]]))).
% 0.34/1.38 ncf('1.2.1',plain,[-(114 ^ [] = 115 ^ []), 125 : set_difference(singleton(114 ^ []), singleton(115 ^ [])) = singleton(114 ^ [])],extension(117 ^ 4)).
% 0.34/1.38 ncf('1.2.1.1',plain,[-(set_difference(singleton(114 ^ []), singleton(115 ^ [])) = singleton(114 ^ []))],lemmata('x')).
% 0.34/1.38 ncf('1.2.2',plain,[-(singleton(115 ^ []) = singleton(115 ^ [])), 115 ^ [] = 115 ^ []],extension(54 ^ 2,bind([[_20468, _20470], [115 ^ [], 115 ^ []]]))).
% 0.34/1.38 ncf('1.2.2.1',plain,[-(115 ^ [] = 115 ^ [])],extension(2 ^ 3,bind([[_18778], [115 ^ []]]))).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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