TSTP Solution File: SET874+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET874+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 1.38s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET874+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n019.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 19:21:57 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, [(151 ^ _24281) ^ [] : [set_union2(singleton(148 ^ []), unordered_pair(148 ^ [], 149 ^ [])) = unordered_pair(148 ^ [], 149 ^ [])], (70 ^ _24281) ^ [_26702, _26704] : [in(_26704, _26702), in(_26702, _26704)], (76 ^ _24281) ^ [_26898, _26900] : [-(unordered_pair(_26900, _26898) = unordered_pair(_26898, _26900))], (78 ^ _24281) ^ [_26998, _27000] : [-(set_union2(_27000, _26998) = set_union2(_26998, _27000))], (123 ^ _24281) ^ [_28632, _28634] : [-(empty(_28634)), empty(set_union2(_28634, _28632))], (129 ^ _24281) ^ [_28848, _28850] : [-(empty(_28850)), empty(set_union2(_28848, _28850))], (135 ^ _24281) ^ [_29049, _29051] : [-(set_union2(_29051, _29051) = _29051)], (144 ^ _24281) ^ [] : [-(empty(142 ^ []))], (147 ^ _24281) ^ [] : [empty(145 ^ [])], (137 ^ _24281) ^ [_29161, _29163] : [in(_29163, _29161), -(set_union2(singleton(_29163), _29161) = _29161)], (102 ^ _24281) ^ [_27881, _27883, _27885] : [-(_27881 = unordered_pair(_27885, _27883)), 106 ^ _24281 : [(107 ^ _24281) ^ [] : [-(in(103 ^ [_27881, _27883, _27885], _27881))], (109 ^ _24281) ^ [] : [103 ^ [_27881, _27883, _27885] = _27885], (111 ^ _24281) ^ [] : [103 ^ [_27881, _27883, _27885] = _27883]], 112 ^ _24281 : [(119 ^ _24281) ^ [] : [in(103 ^ [_27881, _27883, _27885], _27881)], (113 ^ _24281) ^ [] : [-(103 ^ [_27881, _27883, _27885] = _27885), -(103 ^ [_27881, _27883, _27885] = _27883)]]], (80 ^ _24281) ^ [_27156, _27158, _27160] : [_27156 = unordered_pair(_27160, _27158), 83 ^ _24281 : [(94 ^ _24281) ^ [_27616] : [95 ^ _24281 : [(96 ^ _24281) ^ [] : [_27616 = _27160], (98 ^ _24281) ^ [] : [_27616 = _27158]], -(in(_27616, _27156))], (84 ^ _24281) ^ [_27338] : [in(_27338, _27156), -(_27338 = _27160), -(_27338 = _27158)]]], (44 ^ _24281) ^ [_25804, _25806, _25808, _25810] : [-(set_union2(_25810, _25806) = set_union2(_25808, _25804)), _25810 = _25808, _25806 = _25804], (54 ^ _24281) ^ [_26135, _26137] : [_26137 = _26135, -(singleton(_26137) = singleton(_26135))], (60 ^ _24281) ^ [_26361, _26363, _26365, _26367] : [-(unordered_pair(_26367, _26363) = unordered_pair(_26365, _26361)), _26367 = _26365, _26363 = _26361], (2 ^ _24281) ^ [_24425] : [-(_24425 = _24425)], (4 ^ _24281) ^ [_24532, _24534] : [_24534 = _24532, -(_24532 = _24534)], (10 ^ _24281) ^ [_24736, _24738, _24740] : [-(_24740 = _24736), _24740 = _24738, _24738 = _24736], (34 ^ _24281) ^ [_25473, _25475] : [-(empty(_25473)), _25475 = _25473, empty(_25475)], (20 ^ _24281) ^ [_25077, _25079, _25081, _25083] : [-(in(_25081, _25077)), in(_25083, _25079), _25083 = _25081, _25079 = _25077]], input).
% 0.32/1.38  ncf('1',plain,[set_union2(singleton(148 ^ []), unordered_pair(148 ^ [], 149 ^ [])) = unordered_pair(148 ^ [], 149 ^ [])],start(151 ^ 0)).
% 0.32/1.38  ncf('1.1',plain,[-(set_union2(singleton(148 ^ []), unordered_pair(148 ^ [], 149 ^ [])) = unordered_pair(148 ^ [], 149 ^ [])), in(148 ^ [], unordered_pair(148 ^ [], 149 ^ []))],extension(137 ^ 1,bind([[_29161, _29163], [unordered_pair(148 ^ [], 149 ^ []), 148 ^ []]]))).
% 0.32/1.38  ncf('1.1.1',plain,[-(in(148 ^ [], unordered_pair(148 ^ [], 149 ^ []))), 96 : 148 ^ [] = 148 ^ [], 94 : unordered_pair(148 ^ [], 149 ^ []) = unordered_pair(148 ^ [], 149 ^ [])],extension(80 ^ 2,bind([[_27156, _27158, _27160, _27616], [unordered_pair(148 ^ [], 149 ^ []), 149 ^ [], 148 ^ [], 148 ^ []]]))).
% 0.32/1.38  ncf('1.1.1.1',plain,[-(148 ^ [] = 148 ^ [])],extension(2 ^ 7,bind([[_24425], [148 ^ []]]))).
% 0.32/1.38  ncf('1.1.1.2',plain,[-(unordered_pair(148 ^ [], 149 ^ []) = unordered_pair(148 ^ [], 149 ^ []))],extension(2 ^ 3,bind([[_24425], [unordered_pair(148 ^ [], 149 ^ [])]]))).
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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