%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET987+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:56:47 EDT 2023

% Result   : Theorem 0.34s 1.38s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SET987+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n028.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 19:17:03 EDT 2023
% 0.13/0.34  % 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, [(114 ^ _21479) ^ [] : [in(111 ^ [], 112 ^ [])], (116 ^ _21479) ^ [] : [set_difference(set_union2(112 ^ [], singleton(111 ^ [])), singleton(111 ^ [])) = 112 ^ []], (70 ^ _21479) ^ [_23900, _23902] : [in(_23902, _23900), in(_23900, _23902)], (76 ^ _21479) ^ [_24096, _24098] : [-(set_union2(_24098, _24096) = set_union2(_24096, _24098))], (78 ^ _21479) ^ [_24211, _24213] : [-(empty(_24213)), empty(set_union2(_24213, _24211))], (84 ^ _21479) ^ [_24427, _24429] : [-(empty(_24429)), empty(set_union2(_24427, _24429))], (90 ^ _21479) ^ [_24628, _24630] : [-(set_union2(_24630, _24630) = _24630)], (93 ^ _21479) ^ [] : [-(empty(91 ^ []))], (96 ^ _21479) ^ [] : [empty(94 ^ [])], (98 ^ _21479) ^ [_24904, _24906] : [-(set_difference(set_union2(_24906, _24904), _24904) = set_difference(_24906, _24904))], (100 ^ _21479) ^ [_25031, _25033] : [set_difference(_25033, singleton(_25031)) = _25033, in(_25031, _25033)], (106 ^ _21479) ^ [_25204, _25206] : [-(in(_25204, _25206)), -(set_difference(_25206, singleton(_25204)) = _25206)], (44 ^ _21479) ^ [_23002, _23004, _23006, _23008] : [-(set_difference(_23008, _23004) = set_difference(_23006, _23002)), _23008 = _23006, _23004 = _23002], (64 ^ _21479) ^ [_23672, _23674] : [_23674 = _23672, -(singleton(_23674) = singleton(_23672))], (54 ^ _21479) ^ [_23361, _23363, _23365, _23367] : [-(set_union2(_23367, _23363) = set_union2(_23365, _23361)), _23367 = _23365, _23363 = _23361], (2 ^ _21479) ^ [_21623] : [-(_21623 = _21623)], (4 ^ _21479) ^ [_21730, _21732] : [_21732 = _21730, -(_21730 = _21732)], (10 ^ _21479) ^ [_21934, _21936, _21938] : [-(_21938 = _21934), _21938 = _21936, _21936 = _21934], (20 ^ _21479) ^ [_22247, _22249] : [-(empty(_22247)), _22249 = _22247, empty(_22249)], (30 ^ _21479) ^ [_22550, _22552, _22554, _22556] : [-(in(_22554, _22550)), in(_22556, _22552), _22556 = _22554, _22552 = _22550]], input).
% 0.34/1.38  ncf('1',plain,[set_difference(set_union2(112 ^ [], singleton(111 ^ [])), singleton(111 ^ [])) = 112 ^ []],start(116 ^ 0)).
% 0.34/1.38  ncf('1.1',plain,[-(set_difference(set_union2(112 ^ [], singleton(111 ^ [])), singleton(111 ^ [])) = 112 ^ []), set_difference(set_union2(112 ^ [], singleton(111 ^ [])), singleton(111 ^ [])) = set_difference(112 ^ [], singleton(111 ^ [])), set_difference(112 ^ [], singleton(111 ^ [])) = 112 ^ []],extension(10 ^ 1,bind([[_21934, _21936, _21938], [112 ^ [], set_difference(112 ^ [], singleton(111 ^ [])), set_difference(set_union2(112 ^ [], singleton(111 ^ [])), singleton(111 ^ []))]]))).
% 0.34/1.38  ncf('1.1.1',plain,[-(set_difference(set_union2(112 ^ [], singleton(111 ^ [])), singleton(111 ^ [])) = set_difference(112 ^ [], singleton(111 ^ [])))],extension(98 ^ 2,bind([[_24904, _24906], [singleton(111 ^ []), 112 ^ []]]))).
% 0.34/1.38  ncf('1.1.2',plain,[-(set_difference(112 ^ [], singleton(111 ^ [])) = 112 ^ []), -(in(111 ^ [], 112 ^ []))],extension(106 ^ 2,bind([[_25204, _25206], [111 ^ [], 112 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.1',plain,[in(111 ^ [], 112 ^ [])],extension(114 ^ 3)).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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