%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET881+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 0.32s 1.38s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET881+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n018.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 19:10:58 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.32/1.38  
% 0.32/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  ncf(matrix, plain, [(143 ^ _20731) ^ [] : [set_difference(singleton(140 ^ []), unordered_pair(140 ^ [], 141 ^ [])) = empty_set], (70 ^ _20731) ^ [_23152, _23154] : [in(_23154, _23152), in(_23152, _23154)], (76 ^ _20731) ^ [_23348, _23350] : [-(unordered_pair(_23350, _23348) = unordered_pair(_23348, _23350))], (121 ^ _20731) ^ [] : [-(empty(empty_set))], (136 ^ _20731) ^ [] : [-(empty(134 ^ []))], (139 ^ _20731) ^ [] : [empty(137 ^ [])], (123 ^ _20731) ^ [_25064, _25066] : [set_difference(singleton(_25066), _25064) = empty_set, -(in(_25066, _25064))], (129 ^ _20731) ^ [_25236, _25238] : [in(_25238, _25236), -(set_difference(singleton(_25238), _25236) = empty_set)], (100 ^ _20731) ^ [_24231, _24233, _24235] : [-(_24231 = unordered_pair(_24235, _24233)), 104 ^ _20731 : [(105 ^ _20731) ^ [] : [-(in(101 ^ [_24231, _24233, _24235], _24231))], (107 ^ _20731) ^ [] : [101 ^ [_24231, _24233, _24235] = _24235], (109 ^ _20731) ^ [] : [101 ^ [_24231, _24233, _24235] = _24233]], 110 ^ _20731 : [(117 ^ _20731) ^ [] : [in(101 ^ [_24231, _24233, _24235], _24231)], (111 ^ _20731) ^ [] : [-(101 ^ [_24231, _24233, _24235] = _24235), -(101 ^ [_24231, _24233, _24235] = _24233)]]], (78 ^ _20731) ^ [_23506, _23508, _23510] : [_23506 = unordered_pair(_23510, _23508), 81 ^ _20731 : [(92 ^ _20731) ^ [_23966] : [93 ^ _20731 : [(94 ^ _20731) ^ [] : [_23966 = _23510], (96 ^ _20731) ^ [] : [_23966 = _23508]], -(in(_23966, _23506))], (82 ^ _20731) ^ [_23688] : [in(_23688, _23506), -(_23688 = _23510), -(_23688 = _23508)]]], (44 ^ _20731) ^ [_22254, _22256, _22258, _22260] : [-(set_difference(_22260, _22256) = set_difference(_22258, _22254)), _22260 = _22258, _22256 = _22254], (54 ^ _20731) ^ [_22585, _22587] : [_22587 = _22585, -(singleton(_22587) = singleton(_22585))], (60 ^ _20731) ^ [_22811, _22813, _22815, _22817] : [-(unordered_pair(_22817, _22813) = unordered_pair(_22815, _22811)), _22817 = _22815, _22813 = _22811], (2 ^ _20731) ^ [_20875] : [-(_20875 = _20875)], (4 ^ _20731) ^ [_20982, _20984] : [_20984 = _20982, -(_20982 = _20984)], (10 ^ _20731) ^ [_21186, _21188, _21190] : [-(_21190 = _21186), _21190 = _21188, _21188 = _21186], (34 ^ _20731) ^ [_21923, _21925] : [-(empty(_21923)), _21925 = _21923, empty(_21925)], (20 ^ _20731) ^ [_21527, _21529, _21531, _21533] : [-(in(_21531, _21527)), in(_21533, _21529), _21533 = _21531, _21529 = _21527]], input).
% 0.32/1.38  ncf('1',plain,[set_difference(singleton(140 ^ []), unordered_pair(140 ^ [], 141 ^ [])) = empty_set],start(143 ^ 0)).
% 0.32/1.38  ncf('1.1',plain,[-(set_difference(singleton(140 ^ []), unordered_pair(140 ^ [], 141 ^ [])) = empty_set), in(140 ^ [], unordered_pair(140 ^ [], 141 ^ []))],extension(129 ^ 1,bind([[_25236, _25238], [unordered_pair(140 ^ [], 141 ^ []), 140 ^ []]]))).
% 0.32/1.38  ncf('1.1.1',plain,[-(in(140 ^ [], unordered_pair(140 ^ [], 141 ^ []))), 94 : 140 ^ [] = 140 ^ [], 92 : unordered_pair(140 ^ [], 141 ^ []) = unordered_pair(140 ^ [], 141 ^ [])],extension(78 ^ 2,bind([[_23506, _23508, _23510, _23966], [unordered_pair(140 ^ [], 141 ^ []), 141 ^ [], 140 ^ [], 140 ^ []]]))).
% 0.32/1.38  ncf('1.1.1.1',plain,[-(140 ^ [] = 140 ^ [])],extension(2 ^ 7,bind([[_20875], [140 ^ []]]))).
% 0.32/1.38  ncf('1.1.1.2',plain,[-(unordered_pair(140 ^ [], 141 ^ []) = unordered_pair(140 ^ [], 141 ^ []))],extension(2 ^ 3,bind([[_20875], [unordered_pair(140 ^ [], 141 ^ [])]]))).
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------