TSTP Solution File: SET891+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET891+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 11:56:37 EDT 2023

% Result   : Theorem 0.31s 1.38s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET891+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 19:09:54 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.31/1.38  
% 0.31/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  ncf(matrix, plain, [(92 ^ _19688) ^ [] : [union(unordered_pair(singleton(89 ^ []), singleton(90 ^ []))) = unordered_pair(89 ^ [], 90 ^ [])], (62 ^ _19688) ^ [_21866, _21868] : [-(unordered_pair(_21868, _21866) = unordered_pair(_21866, _21868))], (64 ^ _19688) ^ [_21966, _21968] : [-(set_union2(_21968, _21966) = set_union2(_21966, _21968))], (66 ^ _19688) ^ [_22081, _22083] : [-(empty(_22083)), empty(set_union2(_22083, _22081))], (78 ^ _19688) ^ [_22498, _22500] : [-(set_union2(_22500, _22500) = _22500)], (80 ^ _19688) ^ [_22595, _22597] : [-(union(unordered_pair(_22597, _22595)) = set_union2(_22597, _22595))], (83 ^ _19688) ^ [] : [-(empty(81 ^ []))], (86 ^ _19688) ^ [] : [empty(84 ^ [])], (88 ^ _19688) ^ [_22856, _22858] : [-(unordered_pair(_22858, _22856) = set_union2(singleton(_22858), singleton(_22856)))], (72 ^ _19688) ^ [_22297, _22299] : [-(empty(_22299)), empty(set_union2(_22297, _22299))], (20 ^ _19688) ^ [_20436, _20438] : [-(empty(_20436)), _20438 = _20436, empty(_20438)], (2 ^ _19688) ^ [_19832] : [-(_19832 = _19832)], (4 ^ _19688) ^ [_19939, _19941] : [_19941 = _19939, -(_19939 = _19941)], (10 ^ _19688) ^ [_20143, _20145, _20147] : [-(_20147 = _20143), _20147 = _20145, _20145 = _20143], (30 ^ _19688) ^ [_20761, _20763, _20765, _20767] : [-(set_union2(_20767, _20763) = set_union2(_20765, _20761)), _20767 = _20765, _20763 = _20761], (40 ^ _19688) ^ [_21092, _21094] : [_21094 = _21092, -(union(_21094) = union(_21092))], (46 ^ _19688) ^ [_21310, _21312] : [_21312 = _21310, -(singleton(_21312) = singleton(_21310))], (52 ^ _19688) ^ [_21536, _21538, _21540, _21542] : [-(unordered_pair(_21542, _21538) = unordered_pair(_21540, _21536)), _21542 = _21540, _21538 = _21536]], input).
% 0.31/1.38  ncf('1',plain,[union(unordered_pair(singleton(89 ^ []), singleton(90 ^ []))) = unordered_pair(89 ^ [], 90 ^ [])],start(92 ^ 0)).
% 0.31/1.38  ncf('1.1',plain,[-(union(unordered_pair(singleton(89 ^ []), singleton(90 ^ []))) = unordered_pair(89 ^ [], 90 ^ [])), union(unordered_pair(singleton(89 ^ []), singleton(90 ^ []))) = set_union2(singleton(89 ^ []), singleton(90 ^ [])), set_union2(singleton(89 ^ []), singleton(90 ^ [])) = unordered_pair(89 ^ [], 90 ^ [])],extension(10 ^ 1,bind([[_20143, _20145, _20147], [unordered_pair(89 ^ [], 90 ^ []), set_union2(singleton(89 ^ []), singleton(90 ^ [])), union(unordered_pair(singleton(89 ^ []), singleton(90 ^ [])))]]))).
% 0.31/1.38  ncf('1.1.1',plain,[-(union(unordered_pair(singleton(89 ^ []), singleton(90 ^ []))) = set_union2(singleton(89 ^ []), singleton(90 ^ [])))],extension(80 ^ 2,bind([[_22595, _22597], [singleton(90 ^ []), singleton(89 ^ [])]]))).
% 0.31/1.38  ncf('1.1.2',plain,[-(set_union2(singleton(89 ^ []), singleton(90 ^ [])) = unordered_pair(89 ^ [], 90 ^ [])), unordered_pair(89 ^ [], 90 ^ []) = set_union2(singleton(89 ^ []), singleton(90 ^ []))],extension(4 ^ 2,bind([[_19939, _19941], [set_union2(singleton(89 ^ []), singleton(90 ^ [])), unordered_pair(89 ^ [], 90 ^ [])]]))).
% 0.31/1.38  ncf('1.1.2.1',plain,[-(unordered_pair(89 ^ [], 90 ^ []) = set_union2(singleton(89 ^ []), singleton(90 ^ [])))],extension(88 ^ 3,bind([[_22856, _22858], [90 ^ [], 89 ^ []]]))).
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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