TSTP Solution File: SEU143+1 by nanoCoP---2.0

View Problem - Process Solution

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% File     : nanoCoP---2.0
% Problem  : SEU143+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 12:02:21 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
% 0.04/0.12  % Problem  : SEU143+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n017.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 13:04:30 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(121 ^ _17093) ^ [] : [-(singleton(119 ^ []) = empty_set)], (44 ^ _17093) ^ [_18568, _18570] : [_18570 = _18568, -(singleton(_18570) = singleton(_18568))], (2 ^ _17093) ^ [_17237] : [-(_17237 = _17237)], (4 ^ _17093) ^ [_17344, _17346] : [_17346 = _17344, -(_17344 = _17346)], (10 ^ _17093) ^ [_17548, _17550, _17552] : [-(_17552 = _17548), _17552 = _17550, _17550 = _17548], (34 ^ _17093) ^ [_18285, _18287] : [-(empty(_18285)), _18287 = _18285, empty(_18287)], (20 ^ _17093) ^ [_17889, _17891, _17893, _17895] : [-(in(_17893, _17889)), in(_17895, _17891), _17895 = _17893, _17891 = _17889], (50 ^ _17093) ^ [_18788, _18790] : [in(_18790, _18788), in(_18788, _18790)], (72 ^ _17093) ^ [_19549, _19551] : [-(_19549 = singleton(_19551)), 76 ^ _17093 : [(77 ^ _17093) ^ [] : [-(in(73 ^ [_19549, _19551], _19549))], (79 ^ _17093) ^ [] : [73 ^ [_19549, _19551] = _19551]], 80 ^ _17093 : [(81 ^ _17093) ^ [] : [-(73 ^ [_19549, _19551] = _19551)], (83 ^ _17093) ^ [] : [in(73 ^ [_19549, _19551], _19549)]]], (56 ^ _17093) ^ [_19028, _19030] : [_19028 = singleton(_19030), 59 ^ _17093 : [(60 ^ _17093) ^ [_19198] : [in(_19198, _19028), -(_19198 = _19030)], (66 ^ _17093) ^ [_19370] : [_19370 = _19030, -(in(_19370, _19028))]]], (87 ^ _17093) ^ [_20100] : [_20100 = empty_set, 90 ^ _17093 : [(91 ^ _17093) ^ [_20213] : [in(_20213, _20100)]]], (93 ^ _17093) ^ [_20279] : [-(in(94 ^ [_20279], _20279)), -(_20279 = empty_set)], (100 ^ _17093) ^ [] : [true___, -(true___)], (112 ^ _17093) ^ [] : [-(empty(empty_set))], (115 ^ _17093) ^ [] : [-(empty(113 ^ []))], (118 ^ _17093) ^ [] : [empty(116 ^ [])], (106 ^ _17093) ^ [] : [true___, -(true___)]], input).
% 0.34/1.38  ncf('1',plain,[singleton(119 ^ []) = empty_set, 91 : in(73 ^ [singleton(119 ^ []), singleton(119 ^ [])], singleton(119 ^ []))],start(87 ^ 0,bind([[_20100, _20213], [singleton(119 ^ []), 73 ^ [singleton(119 ^ []), singleton(119 ^ [])]]]))).
% 0.34/1.38  ncf('1.1',plain,[-(singleton(119 ^ []) = empty_set)],extension(121 ^ 1)).
% 0.34/1.38  ncf('1.2',plain,[-(in(73 ^ [singleton(119 ^ []), singleton(119 ^ [])], singleton(119 ^ []))), -(singleton(119 ^ []) = singleton(singleton(119 ^ []))), 81 : -(73 ^ [singleton(119 ^ []), singleton(119 ^ [])] = singleton(119 ^ []))],extension(72 ^ 3,bind([[_19549, _19551], [singleton(119 ^ []), singleton(119 ^ [])]]))).
% 0.34/1.38  ncf('1.2.1',plain,[singleton(119 ^ []) = singleton(singleton(119 ^ [])), -(singleton(singleton(119 ^ [])) = singleton(119 ^ []))],extension(4 ^ 4,bind([[_17344, _17346], [singleton(singleton(119 ^ [])), singleton(119 ^ [])]]))).
% 0.34/1.38  ncf('1.2.1.1',plain,[singleton(singleton(119 ^ [])) = singleton(119 ^ []), -(in(singleton(119 ^ []), singleton(119 ^ []))), in(singleton(singleton(119 ^ [])), singleton(119 ^ [])), singleton(119 ^ []) = singleton(119 ^ [])],extension(20 ^ 5,bind([[_17889, _17891, _17893, _17895], [singleton(119 ^ []), singleton(119 ^ []), singleton(119 ^ []), singleton(singleton(119 ^ []))]]))).
% 0.34/1.38  ncf('1.2.1.1.1',plain,[in(singleton(119 ^ []), singleton(119 ^ [])), in(singleton(119 ^ []), singleton(119 ^ []))],extension(50 ^ 6,bind([[_18788, _18790], [singleton(119 ^ []), singleton(119 ^ [])]]))).
% 0.34/1.38  ncf('1.2.1.1.1.1',plain,[-(in(singleton(119 ^ []), singleton(119 ^ [])))],reduction('1.2.1.1')).
% 0.34/1.38  ncf('1.2.1.1.2',plain,[-(in(singleton(singleton(119 ^ [])), singleton(119 ^ []))), 66 : singleton(singleton(119 ^ [])) = singleton(119 ^ []), 66 : singleton(119 ^ []) = singleton(singleton(119 ^ []))],extension(56 ^ 6,bind([[_19028, _19030, _19370], [singleton(119 ^ []), singleton(119 ^ []), singleton(singleton(119 ^ []))]]))).
% 0.34/1.38  ncf('1.2.1.1.2.1',plain,[-(singleton(singleton(119 ^ [])) = singleton(119 ^ []))],reduction('1.2.1')).
% 0.34/1.38  ncf('1.2.1.1.2.2',plain,[-(singleton(119 ^ []) = singleton(singleton(119 ^ [])))],reduction('1.2')).
% 0.34/1.38  ncf('1.2.1.1.3',plain,[-(singleton(119 ^ []) = singleton(119 ^ []))],extension(2 ^ 6,bind([[_17237], [singleton(119 ^ [])]]))).
% 0.34/1.38  ncf('1.2.2',plain,[73 ^ [singleton(119 ^ []), singleton(119 ^ [])] = singleton(119 ^ []), 66 : 119 ^ [] = 119 ^ [], 66 : -(in(119 ^ [], 73 ^ [singleton(119 ^ []), singleton(119 ^ [])]))],extension(56 ^ 6,bind([[_19028, _19030, _19370], [73 ^ [singleton(119 ^ []), singleton(119 ^ [])], 119 ^ [], 119 ^ []]]))).
% 0.34/1.38  ncf('1.2.2.1',plain,[-(119 ^ [] = 119 ^ [])],extension(2 ^ 9,bind([[_17237], [119 ^ []]]))).
% 0.34/1.38  ncf('1.2.2.2',plain,[in(119 ^ [], 73 ^ [singleton(119 ^ []), singleton(119 ^ [])]), 73 ^ [singleton(119 ^ []), singleton(119 ^ [])] = empty_set],extension(87 ^ 9,bind([[_20100, _20213], [73 ^ [singleton(119 ^ []), singleton(119 ^ [])], 119 ^ []]]))).
% 0.34/1.38  ncf('1.2.2.2.1',plain,[-(73 ^ [singleton(119 ^ []), singleton(119 ^ [])] = empty_set), 73 ^ [singleton(119 ^ []), singleton(119 ^ [])] = singleton(119 ^ []), singleton(119 ^ []) = empty_set],extension(10 ^ 10,bind([[_17548, _17550, _17552], [empty_set, singleton(119 ^ []), 73 ^ [singleton(119 ^ []), singleton(119 ^ [])]]]))).
% 0.34/1.38  ncf('1.2.2.2.1.1',plain,[-(73 ^ [singleton(119 ^ []), singleton(119 ^ [])] = singleton(119 ^ []))],reduction('1.2')).
% 0.34/1.38  ncf('1.2.2.2.1.2',plain,[-(singleton(119 ^ []) = empty_set)],lemmata('x')).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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