%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET867+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n013.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 0.32s 1.36s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET867+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.31  % Computer : n013.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Thu May 18 19:11:50 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.32/1.36  
% 0.32/1.36  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.36  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.36  %-----------------------------------------------------
% 0.32/1.36  ncf(matrix, plain, [(122 ^ _16220) ^ [] : [union(empty_set) = empty_set], (44 ^ _16220) ^ [_17695, _17697] : [_17697 = _17695, -(union(_17697) = union(_17695))], (2 ^ _16220) ^ [_16364] : [-(_16364 = _16364)], (4 ^ _16220) ^ [_16471, _16473] : [_16473 = _16471, -(_16471 = _16473)], (10 ^ _16220) ^ [_16675, _16677, _16679] : [-(_16679 = _16675), _16679 = _16677, _16677 = _16675], (34 ^ _16220) ^ [_17412, _17414] : [-(empty(_17412)), _17414 = _17412, empty(_17414)], (20 ^ _16220) ^ [_17016, _17018, _17020, _17022] : [-(in(_17020, _17016)), in(_17022, _17018), _17022 = _17020, _17018 = _17016], (50 ^ _16220) ^ [_17915, _17917] : [in(_17917, _17915), in(_17915, _17917)], (56 ^ _16220) ^ [_18141] : [_18141 = empty_set, 59 ^ _16220 : [(60 ^ _16220) ^ [_18254] : [in(_18254, _18141)]]], (62 ^ _16220) ^ [_18320] : [-(in(63 ^ [_18320], _18320)), -(_18320 = empty_set)], (114 ^ _16220) ^ [] : [-(empty(empty_set))], (117 ^ _16220) ^ [] : [-(empty(115 ^ []))], (120 ^ _16220) ^ [] : [empty(118 ^ [])], (92 ^ _16220) ^ [_19456, _19458] : [-(_19456 = union(_19458)), 105 ^ _16220 : [(106 ^ _16220) ^ [] : [-(in(93 ^ [_19456, _19458], 104 ^ [_19456, _19458]))], (108 ^ _16220) ^ [] : [-(in(104 ^ [_19456, _19458], _19458))], (110 ^ _16220) ^ [] : [in(93 ^ [_19456, _19458], _19456)]], 96 ^ _16220 : [(97 ^ _16220) ^ [] : [-(in(93 ^ [_19456, _19458], _19456))], (99 ^ _16220) ^ [_19739] : [in(93 ^ [_19456, _19458], _19739), in(_19739, _19458)]]], (69 ^ _16220) ^ [_18611, _18613] : [_18611 = union(_18613), 72 ^ _16220 : [(73 ^ _16220) ^ [_18792] : [in(_18792, _18611), 77 ^ _16220 : [(78 ^ _16220) ^ [] : [-(in(_18792, 76 ^ [_18611, _18613, _18792]))], (80 ^ _16220) ^ [] : [-(in(76 ^ [_18611, _18613, _18792], _18613))]]], (82 ^ _16220) ^ [_19119] : [-(in(_19119, _18611)), 83 ^ _16220 : [(84 ^ _16220) ^ [_19217] : [in(_19119, _19217), in(_19217, _18613)]]]]]], input).
% 0.32/1.36  ncf('1',plain,[empty_set = empty_set, 60 : in(104 ^ [empty_set, empty_set], empty_set)],start(56 ^ 0,bind([[_18141, _18254], [empty_set, 104 ^ [empty_set, empty_set]]]))).
% 0.32/1.36  ncf('1.1',plain,[-(empty_set = empty_set)],extension(2 ^ 1,bind([[_16364], [empty_set]]))).
% 0.32/1.36  ncf('1.2',plain,[-(in(104 ^ [empty_set, empty_set], empty_set)), -(empty_set = union(empty_set)), 97 : -(in(93 ^ [empty_set, empty_set], empty_set))],extension(92 ^ 3,bind([[_19456, _19458], [empty_set, empty_set]]))).
% 0.32/1.36  ncf('1.2.1',plain,[empty_set = union(empty_set), -(union(empty_set) = empty_set)],extension(4 ^ 4,bind([[_16471, _16473], [union(empty_set), empty_set]]))).
% 0.32/1.36  ncf('1.2.1.1',plain,[union(empty_set) = empty_set],extension(122 ^ 5)).
% 0.32/1.36  ncf('1.2.2',plain,[in(93 ^ [empty_set, empty_set], empty_set)],extension(60 ^ 6,bind([[_18254], [93 ^ [empty_set, empty_set]]]))).
% 0.32/1.36  %-----------------------------------------------------
% 0.32/1.36  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------