TSTP Solution File: SET126-6 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET126-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n007.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 : Thu Aug 31 15:38:11 EDT 2023
% Result : Unsatisfiable 22.20s 3.57s
% Output : Refutation 22.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 32
% Syntax : Number of formulae : 165 ( 18 unt; 0 def)
% Number of atoms : 413 ( 76 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 423 ( 175 ~; 237 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 12 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 89 (; 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f144925,plain,
$false,
inference(avatar_sat_refutation,[],[f829,f1016,f1046,f1052,f3988,f4622,f4666,f4671,f4968,f141541,f143049,f144850,f144920]) ).
fof(f144920,plain,
( spl5_182
| spl5_183 ),
inference(avatar_contradiction_clause,[],[f144919]) ).
fof(f144919,plain,
( $false
| spl5_182
| spl5_183 ),
inference(subsumption_resolution,[],[f144918,f10901]) ).
fof(f10901,plain,
( ~ member(not_subclass_element(sF3,sF1),sF3)
| spl5_182 ),
inference(avatar_component_clause,[],[f10900]) ).
fof(f10900,plain,
( spl5_182
<=> member(not_subclass_element(sF3,sF1),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_182])]) ).
fof(f144918,plain,
( member(not_subclass_element(sF3,sF1),sF3)
| spl5_182
| spl5_183 ),
inference(subsumption_resolution,[],[f144910,f10905]) ).
fof(f10905,plain,
( sF1 != sF3
| spl5_183 ),
inference(avatar_component_clause,[],[f10904]) ).
fof(f10904,plain,
( spl5_183
<=> sF1 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_183])]) ).
fof(f144910,plain,
( sF1 = sF3
| member(not_subclass_element(sF3,sF1),sF3)
| spl5_182
| spl5_183 ),
inference(resolution,[],[f144877,f312]) ).
fof(f312,plain,
! [X2,X1] :
( ~ subclass(X1,X2)
| X1 = X2
| member(not_subclass_element(X2,X1),X2) ),
inference(resolution,[],[f7,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',not_subclass_members1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',subclass_implies_equal) ).
fof(f144877,plain,
( subclass(sF1,sF3)
| spl5_182
| spl5_183 ),
inference(resolution,[],[f144875,f143615]) ).
fof(f143615,plain,
! [X8] :
( ~ member(not_subclass_element(X8,sF3),sF1)
| subclass(X8,sF3) ),
inference(forward_demodulation,[],[f143614,f143507]) ).
fof(f143507,plain,
sF3 = intersection(sF1,universal_class),
inference(backward_demodulation,[],[f150,f143395]) ).
fof(f143395,plain,
universal_class = sF2,
inference(backward_demodulation,[],[f149,f142010]) ).
fof(f142010,plain,
universal_class = complement(null_class),
inference(subsumption_resolution,[],[f63673,f322]) ).
fof(f322,plain,
! [X0] :
( member(not_subclass_element(universal_class,X0),universal_class)
| universal_class = X0 ),
inference(resolution,[],[f313,f2]) ).
fof(f313,plain,
! [X3] :
( ~ subclass(universal_class,X3)
| universal_class = X3 ),
inference(resolution,[],[f7,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',class_elements_are_sets) ).
fof(f63673,plain,
( universal_class = complement(null_class)
| ~ member(not_subclass_element(universal_class,complement(null_class)),universal_class) ),
inference(resolution,[],[f63582,f1368]) ).
fof(f1368,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f1366]) ).
fof(f1366,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f1361]) ).
fof(f1361,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f1352,f181]) ).
fof(f181,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',regularity1) ).
fof(f1352,plain,
! [X3] :
( member(regular(X3),universal_class)
| null_class = X3 ),
inference(resolution,[],[f290,f4]) ).
fof(f290,plain,
! [X8,X7] :
( ~ subclass(X7,X8)
| member(regular(X7),X8)
| null_class = X7 ),
inference(resolution,[],[f1,f66]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',subclass_members) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',complement1) ).
fof(f63582,plain,
! [X6] :
( member(not_subclass_element(universal_class,complement(X6)),X6)
| universal_class = complement(X6) ),
inference(subsumption_resolution,[],[f63569,f313]) ).
fof(f63569,plain,
! [X6] :
( member(not_subclass_element(universal_class,complement(X6)),X6)
| universal_class = complement(X6)
| subclass(universal_class,complement(X6)) ),
inference(resolution,[],[f1339,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',not_subclass_members2) ).
fof(f1339,plain,
! [X2,X1] :
( member(not_subclass_element(universal_class,X1),complement(X2))
| member(not_subclass_element(universal_class,X1),X2)
| universal_class = X1 ),
inference(resolution,[],[f322,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( ~ member(X4,universal_class)
| member(X4,X0)
| member(X4,complement(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',complement2) ).
fof(f149,plain,
complement(null_class) = sF2,
introduced(function_definition,[]) ).
fof(f150,plain,
intersection(sF1,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f143614,plain,
! [X8] :
( ~ member(not_subclass_element(X8,sF3),sF1)
| subclass(X8,intersection(sF1,universal_class)) ),
inference(subsumption_resolution,[],[f143613,f3965]) ).
fof(f3965,plain,
! [X8,X9,X7] :
( member(X7,universal_class)
| ~ member(X7,X9)
| ~ member(X7,X8) ),
inference(resolution,[],[f431,f4]) ).
fof(f431,plain,
! [X8,X6,X9,X7] :
( ~ subclass(intersection(X8,X7),X9)
| ~ member(X6,X8)
| ~ member(X6,X7)
| member(X6,X9) ),
inference(resolution,[],[f23,f1]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',intersection3) ).
fof(f143613,plain,
! [X8] :
( ~ member(not_subclass_element(X8,sF3),sF1)
| ~ member(not_subclass_element(X8,sF3),universal_class)
| subclass(X8,intersection(sF1,universal_class)) ),
inference(forward_demodulation,[],[f143565,f143507]) ).
fof(f143565,plain,
! [X8] :
( ~ member(not_subclass_element(X8,sF3),universal_class)
| ~ member(not_subclass_element(X8,intersection(sF1,universal_class)),sF1)
| subclass(X8,intersection(sF1,universal_class)) ),
inference(superposition,[],[f432,f143507]) ).
fof(f432,plain,
! [X10,X11,X12] :
( ~ member(not_subclass_element(X10,intersection(X11,X12)),X12)
| ~ member(not_subclass_element(X10,intersection(X11,X12)),X11)
| subclass(X10,intersection(X11,X12)) ),
inference(resolution,[],[f23,f3]) ).
fof(f144875,plain,
( member(not_subclass_element(sF1,sF3),sF1)
| spl5_182
| spl5_183 ),
inference(subsumption_resolution,[],[f144873,f10905]) ).
fof(f144873,plain,
( sF1 = sF3
| member(not_subclass_element(sF1,sF3),sF1)
| spl5_182 ),
inference(resolution,[],[f10901,f1856]) ).
fof(f1856,plain,
! [X2,X1] :
( member(not_subclass_element(X2,X1),X2)
| X1 = X2
| member(not_subclass_element(X1,X2),X1) ),
inference(resolution,[],[f312,f2]) ).
fof(f144850,plain,
( ~ spl5_182
| spl5_183 ),
inference(avatar_contradiction_clause,[],[f144849]) ).
fof(f144849,plain,
( $false
| ~ spl5_182
| spl5_183 ),
inference(subsumption_resolution,[],[f144846,f10947]) ).
fof(f10947,plain,
( ~ subclass(sF1,sF3)
| ~ spl5_182
| spl5_183 ),
inference(subsumption_resolution,[],[f10943,f10905]) ).
fof(f10943,plain,
( ~ subclass(sF1,sF3)
| sF1 = sF3
| ~ spl5_182 ),
inference(resolution,[],[f10913,f7]) ).
fof(f10913,plain,
( subclass(sF3,sF1)
| ~ spl5_182 ),
inference(resolution,[],[f10909,f3]) ).
fof(f10909,plain,
( member(not_subclass_element(sF3,sF1),sF1)
| ~ spl5_182 ),
inference(resolution,[],[f10902,f239]) ).
fof(f239,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF1) ),
inference(superposition,[],[f21,f150]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',intersection1) ).
fof(f10902,plain,
( member(not_subclass_element(sF3,sF1),sF3)
| ~ spl5_182 ),
inference(avatar_component_clause,[],[f10900]) ).
fof(f144846,plain,
( subclass(sF1,sF3)
| ~ spl5_182
| spl5_183 ),
inference(resolution,[],[f10944,f143615]) ).
fof(f10944,plain,
( member(not_subclass_element(sF1,sF3),sF1)
| ~ spl5_182
| spl5_183 ),
inference(subsumption_resolution,[],[f10942,f10905]) ).
fof(f10942,plain,
( sF1 = sF3
| member(not_subclass_element(sF1,sF3),sF1)
| ~ spl5_182 ),
inference(resolution,[],[f10913,f312]) ).
fof(f143049,plain,
( ~ spl5_14
| spl5_13 ),
inference(avatar_split_clause,[],[f142618,f229,f233]) ).
fof(f233,plain,
( spl5_14
<=> member(regular(sF4),sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f229,plain,
( spl5_13
<=> null_class = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f142618,plain,
( ~ member(regular(sF4),sF3)
| spl5_13 ),
inference(subsumption_resolution,[],[f142617,f230]) ).
fof(f230,plain,
( null_class != sF4
| spl5_13 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f142617,plain,
( null_class = sF4
| ~ member(regular(sF4),sF3) ),
inference(forward_demodulation,[],[f142537,f151]) ).
fof(f151,plain,
complement(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f142537,plain,
( ~ member(regular(sF4),sF3)
| null_class = complement(sF3) ),
inference(superposition,[],[f181,f151]) ).
fof(f141541,plain,
( ~ spl5_44
| ~ spl5_183 ),
inference(avatar_contradiction_clause,[],[f141540]) ).
fof(f141540,plain,
( $false
| ~ spl5_44
| ~ spl5_183 ),
inference(subsumption_resolution,[],[f141539,f141399]) ).
fof(f141399,plain,
( ~ subclass(sF0,sF4)
| ~ spl5_44
| ~ spl5_183 ),
inference(subsumption_resolution,[],[f141388,f152]) ).
fof(f152,plain,
sF0 != sF4,
inference(definition_folding,[],[f105,f151,f150,f149,f148,f147,f147]) ).
fof(f147,plain,
unordered_pair(x,x) = sF0,
introduced(function_definition,[]) ).
fof(f148,plain,
complement(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f105,plain,
unordered_pair(x,x) != complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),
inference(definition_unfolding,[],[f93,f99,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',singleton_set) ).
fof(f99,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f92,f26,f12]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',union) ).
fof(f92,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',definition_of_set_builder) ).
fof(f93,axiom,
set_builder(x,null_class) != singleton(x),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',prove_set_builder_and_singleton_1) ).
fof(f141388,plain,
( ~ subclass(sF0,sF4)
| sF0 = sF4
| ~ spl5_44
| ~ spl5_183 ),
inference(resolution,[],[f141304,f7]) ).
fof(f141304,plain,
( subclass(sF4,sF0)
| ~ spl5_44
| ~ spl5_183 ),
inference(resolution,[],[f141303,f3]) ).
fof(f141303,plain,
( member(not_subclass_element(sF4,sF0),sF0)
| ~ spl5_44
| ~ spl5_183 ),
inference(subsumption_resolution,[],[f141301,f67702]) ).
fof(f67702,plain,
( ~ member(not_subclass_element(sF4,sF0),sF1)
| ~ spl5_44
| ~ spl5_183 ),
inference(resolution,[],[f67700,f10951]) ).
fof(f10951,plain,
( ! [X2] :
( ~ member(X2,sF4)
| ~ member(X2,sF1) )
| ~ spl5_183 ),
inference(backward_demodulation,[],[f157,f10906]) ).
fof(f10906,plain,
( sF1 = sF3
| ~ spl5_183 ),
inference(avatar_component_clause,[],[f10904]) ).
fof(f157,plain,
! [X2] :
( ~ member(X2,sF4)
| ~ member(X2,sF3) ),
inference(superposition,[],[f24,f151]) ).
fof(f67700,plain,
( member(not_subclass_element(sF4,sF0),sF4)
| ~ spl5_44 ),
inference(subsumption_resolution,[],[f67691,f152]) ).
fof(f67691,plain,
( member(not_subclass_element(sF4,sF0),sF4)
| sF0 = sF4
| ~ spl5_44 ),
inference(resolution,[],[f59225,f1015]) ).
fof(f1015,plain,
( member(x,sF4)
| ~ spl5_44 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1013,plain,
( spl5_44
<=> member(x,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
fof(f59225,plain,
! [X39] :
( ~ member(x,X39)
| member(not_subclass_element(X39,sF0),X39)
| sF0 = X39 ),
inference(subsumption_resolution,[],[f59200,f312]) ).
fof(f59200,plain,
! [X39] :
( ~ member(x,X39)
| subclass(sF0,X39)
| member(not_subclass_element(X39,sF0),X39)
| sF0 = X39 ),
inference(superposition,[],[f3,f8813]) ).
fof(f8813,plain,
! [X58] :
( x = not_subclass_element(sF0,X58)
| member(not_subclass_element(X58,sF0),X58)
| sF0 = X58 ),
inference(resolution,[],[f1856,f399]) ).
fof(f399,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0 ),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f398,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f147]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',unordered_pair_member) ).
fof(f141301,plain,
( member(not_subclass_element(sF4,sF0),sF1)
| member(not_subclass_element(sF4,sF0),sF0)
| ~ spl5_44 ),
inference(superposition,[],[f67711,f148]) ).
fof(f67711,plain,
( ! [X0] :
( member(not_subclass_element(sF4,sF0),complement(X0))
| member(not_subclass_element(sF4,sF0),X0) )
| ~ spl5_44 ),
inference(resolution,[],[f67708,f25]) ).
fof(f67708,plain,
( member(not_subclass_element(sF4,sF0),universal_class)
| ~ spl5_44 ),
inference(resolution,[],[f67703,f4]) ).
fof(f67703,plain,
( ! [X0] :
( ~ subclass(sF4,X0)
| member(not_subclass_element(sF4,sF0),X0) )
| ~ spl5_44 ),
inference(resolution,[],[f67700,f1]) ).
fof(f141539,plain,
( subclass(sF0,sF4)
| ~ spl5_44
| ~ spl5_183 ),
inference(subsumption_resolution,[],[f141538,f1015]) ).
fof(f141538,plain,
( ~ member(x,sF4)
| subclass(sF0,sF4)
| ~ spl5_44
| ~ spl5_183 ),
inference(superposition,[],[f3,f141430]) ).
fof(f141430,plain,
( x = not_subclass_element(sF0,sF4)
| ~ spl5_44
| ~ spl5_183 ),
inference(resolution,[],[f141402,f399]) ).
fof(f141402,plain,
( member(not_subclass_element(sF0,sF4),sF0)
| ~ spl5_44
| ~ spl5_183 ),
inference(subsumption_resolution,[],[f141390,f152]) ).
fof(f141390,plain,
( sF0 = sF4
| member(not_subclass_element(sF0,sF4),sF0)
| ~ spl5_44
| ~ spl5_183 ),
inference(resolution,[],[f141304,f312]) ).
fof(f4968,plain,
( ~ spl5_12
| ~ spl5_95 ),
inference(avatar_contradiction_clause,[],[f4963]) ).
fof(f4963,plain,
( $false
| ~ spl5_12
| ~ spl5_95 ),
inference(resolution,[],[f3987,f224]) ).
fof(f224,plain,
( member(x,sF0)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl5_12
<=> member(x,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f3987,plain,
( ! [X18] : ~ member(x,X18)
| ~ spl5_95 ),
inference(avatar_component_clause,[],[f3986]) ).
fof(f3986,plain,
( spl5_95
<=> ! [X18] : ~ member(x,X18) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_95])]) ).
fof(f4671,plain,
( ~ spl5_11
| ~ spl5_39 ),
inference(avatar_contradiction_clause,[],[f4670]) ).
fof(f4670,plain,
( $false
| ~ spl5_11
| ~ spl5_39 ),
inference(subsumption_resolution,[],[f4640,f219]) ).
fof(f219,plain,
( member(x,universal_class)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl5_11
<=> member(x,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f4640,plain,
( ~ member(x,universal_class)
| ~ spl5_39 ),
inference(subsumption_resolution,[],[f3272,f1368]) ).
fof(f3272,plain,
( member(x,null_class)
| ~ member(x,universal_class)
| ~ spl5_39 ),
inference(superposition,[],[f10,f1054]) ).
fof(f1054,plain,
( null_class = unordered_pair(x,x)
| ~ spl5_39 ),
inference(backward_demodulation,[],[f147,f824]) ).
fof(f824,plain,
( null_class = sF0
| ~ spl5_39 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f822,plain,
( spl5_39
<=> null_class = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f10,axiom,
! [X0,X1] :
( member(X1,unordered_pair(X0,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453',unordered_pair3) ).
fof(f4666,plain,
( ~ spl5_13
| ~ spl5_39 ),
inference(avatar_split_clause,[],[f1056,f822,f229]) ).
fof(f1056,plain,
( null_class != sF4
| ~ spl5_39 ),
inference(backward_demodulation,[],[f152,f824]) ).
fof(f4622,plain,
( spl5_13
| spl5_14
| ~ spl5_39
| ~ spl5_95 ),
inference(avatar_contradiction_clause,[],[f4621]) ).
fof(f4621,plain,
( $false
| spl5_13
| spl5_14
| ~ spl5_39
| ~ spl5_95 ),
inference(subsumption_resolution,[],[f4620,f3987]) ).
fof(f4620,plain,
( ! [X1] : member(x,X1)
| spl5_13
| spl5_14
| ~ spl5_39
| ~ spl5_95 ),
inference(forward_demodulation,[],[f4619,f4584]) ).
fof(f4584,plain,
( x = regular(sF4)
| spl5_13
| spl5_14
| ~ spl5_39 ),
inference(resolution,[],[f4577,f1065]) ).
fof(f1065,plain,
( ! [X0] :
( ~ member(X0,null_class)
| x = X0 )
| ~ spl5_39 ),
inference(backward_demodulation,[],[f399,f824]) ).
fof(f4577,plain,
( member(regular(sF4),null_class)
| spl5_13
| spl5_14
| ~ spl5_39 ),
inference(subsumption_resolution,[],[f4571,f230]) ).
fof(f4571,plain,
( null_class = sF4
| member(regular(sF4),null_class)
| spl5_14
| ~ spl5_39 ),
inference(resolution,[],[f4332,f235]) ).
fof(f235,plain,
( ~ member(regular(sF4),sF3)
| spl5_14 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f4332,plain,
( ! [X0] :
( member(regular(X0),sF3)
| null_class = X0
| member(regular(X0),null_class) )
| ~ spl5_39 ),
inference(resolution,[],[f4319,f1131]) ).
fof(f1131,plain,
( ! [X0] :
( ~ member(X0,sF1)
| member(X0,sF3) )
| ~ spl5_39 ),
inference(duplicate_literal_removal,[],[f1126]) ).
fof(f1126,plain,
( ! [X0] :
( member(X0,sF3)
| ~ member(X0,sF1)
| ~ member(X0,sF1) )
| ~ spl5_39 ),
inference(superposition,[],[f23,f1089]) ).
fof(f1089,plain,
( sF3 = intersection(sF1,sF1)
| ~ spl5_39 ),
inference(backward_demodulation,[],[f150,f1084]) ).
fof(f1084,plain,
( sF1 = sF2
| ~ spl5_39 ),
inference(backward_demodulation,[],[f149,f1055]) ).
fof(f1055,plain,
( complement(null_class) = sF1
| ~ spl5_39 ),
inference(backward_demodulation,[],[f148,f824]) ).
fof(f4319,plain,
( ! [X1] :
( member(regular(X1),sF1)
| member(regular(X1),null_class)
| null_class = X1 )
| ~ spl5_39 ),
inference(superposition,[],[f1363,f1055]) ).
fof(f1363,plain,
! [X2,X1] :
( member(regular(X1),complement(X2))
| member(regular(X1),X2)
| null_class = X1 ),
inference(resolution,[],[f1352,f25]) ).
fof(f4619,plain,
( ! [X1] : member(regular(sF4),X1)
| spl5_13
| spl5_14
| ~ spl5_39
| ~ spl5_95 ),
inference(subsumption_resolution,[],[f4618,f230]) ).
fof(f4618,plain,
( ! [X1] :
( member(regular(sF4),X1)
| null_class = sF4 )
| spl5_13
| spl5_14
| ~ spl5_39
| ~ spl5_95 ),
inference(subsumption_resolution,[],[f4601,f3987]) ).
fof(f4601,plain,
( ! [X1] :
( member(x,complement(X1))
| member(regular(sF4),X1)
| null_class = sF4 )
| spl5_13
| spl5_14
| ~ spl5_39 ),
inference(superposition,[],[f1363,f4584]) ).
fof(f3988,plain,
( spl5_95
| spl5_95
| spl5_11 ),
inference(avatar_split_clause,[],[f3983,f218,f3986,f3986]) ).
fof(f3983,plain,
( ! [X18,X17] :
( ~ member(x,X17)
| ~ member(x,X18) )
| spl5_11 ),
inference(resolution,[],[f3965,f220]) ).
fof(f220,plain,
( ~ member(x,universal_class)
| spl5_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f1052,plain,
( spl5_12
| spl5_39
| ~ spl5_40 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1051,plain,
( $false
| spl5_12
| spl5_39
| ~ spl5_40 ),
inference(subsumption_resolution,[],[f1047,f223]) ).
fof(f223,plain,
( ~ member(x,sF0)
| spl5_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f1047,plain,
( member(x,sF0)
| spl5_39
| ~ spl5_40 ),
inference(subsumption_resolution,[],[f890,f823]) ).
fof(f823,plain,
( null_class != sF0
| spl5_39 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f890,plain,
( member(x,sF0)
| null_class = sF0
| ~ spl5_40 ),
inference(superposition,[],[f66,f828]) ).
fof(f828,plain,
( x = regular(sF0)
| ~ spl5_40 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f826,plain,
( spl5_40
<=> x = regular(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f1046,plain,
( ~ spl5_12
| ~ spl5_43 ),
inference(avatar_contradiction_clause,[],[f1045]) ).
fof(f1045,plain,
( $false
| ~ spl5_12
| ~ spl5_43 ),
inference(subsumption_resolution,[],[f1043,f224]) ).
fof(f1043,plain,
( ~ member(x,sF0)
| ~ spl5_43 ),
inference(resolution,[],[f1030,f155]) ).
fof(f155,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f24,f148]) ).
fof(f1030,plain,
( member(x,sF1)
| ~ spl5_43 ),
inference(resolution,[],[f1011,f239]) ).
fof(f1011,plain,
( member(x,sF3)
| ~ spl5_43 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1009,plain,
( spl5_43
<=> member(x,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
fof(f1016,plain,
( spl5_43
| spl5_44
| ~ spl5_11 ),
inference(avatar_split_clause,[],[f991,f218,f1013,f1009]) ).
fof(f991,plain,
( member(x,sF4)
| member(x,sF3)
| ~ spl5_11 ),
inference(superposition,[],[f540,f151]) ).
fof(f540,plain,
( ! [X0] :
( member(x,complement(X0))
| member(x,X0) )
| ~ spl5_11 ),
inference(resolution,[],[f219,f25]) ).
fof(f829,plain,
( spl5_39
| spl5_40 ),
inference(avatar_split_clause,[],[f403,f826,f822]) ).
fof(f403,plain,
( x = regular(sF0)
| null_class = sF0 ),
inference(resolution,[],[f399,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET126-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 09:13:11 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.94WGMXDHnM/Vampire---4.8_22453
% 0.14/0.37 % (22720)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (22731)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.23/0.43 % (22726)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.23/0.43 % (22729)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.23/0.43 % (22728)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.23/0.43 % (22732)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.23/0.44 % (22728)Refutation not found, incomplete strategy% (22728)------------------------------
% 0.23/0.44 % (22728)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (22728)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (22728)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44 % (22728)Memory used [KB]: 10106
% 0.23/0.44 % (22728)Time elapsed: 0.006 s
% 0.23/0.44 % (22728)------------------------------
% 0.23/0.44 % (22728)------------------------------
% 0.23/0.44 % (22727)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.23/0.44 % (22730)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.49 % (22763)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_401 on Vampire---4 for (401ds/0Mi)
% 22.20/3.56 % (22763)First to succeed.
% 22.20/3.57 % (22763)Refutation found. Thanks to Tanya!
% 22.20/3.57 % SZS status Unsatisfiable for Vampire---4
% 22.20/3.57 % SZS output start Proof for Vampire---4
% See solution above
% 22.20/3.57 % (22763)------------------------------
% 22.20/3.57 % (22763)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 22.20/3.57 % (22763)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 22.20/3.57 % (22763)Termination reason: Refutation
% 22.20/3.57
% 22.20/3.57 % (22763)Memory used [KB]: 74327
% 22.20/3.57 % (22763)Time elapsed: 3.068 s
% 22.20/3.57 % (22763)------------------------------
% 22.20/3.57 % (22763)------------------------------
% 22.20/3.57 % (22720)Success in time 3.156 s
% 22.20/3.57 % Vampire---4.8 exiting
%------------------------------------------------------------------------------