%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX031+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:45:42 PM UTC 2026
% Result : Theorem 21.51s 3.55s
% Output : Refutation 22.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 32
% Syntax : Number of formulae : 232 ( 26 unt; 18 def)
% Number of atoms : 726 ( 198 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 843 ( 349 ~; 408 |; 56 &)
% ( 14 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-3 aty)
% Number of variables : 215 ( 0 sgn 180 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] : nil != cons(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( cons(X0,X1) = cons(X2,X3)
=> X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id8) ).
fof(f106,axiom,
! [X0] :
( list_succeeds(X0)
<=> ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2) )
| X0 = nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id106) ).
fof(f152,axiom,
! [X0] : '@+'('0',X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(plus:zero)') ).
fof(f153,axiom,
! [X0,X1] :
( nat_succeeds(X0)
=> '@+'(s(X0),X1) = s('@+'(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(plus:successor)') ).
fof(f157,axiom,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@+'(X0,s(X1)) = '@+'(s(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(plus:successor)_002') ).
fof(f158,axiom,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@+'(X0,X1) = '@+'(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(plus:commutative)') ).
fof(f261,axiom,
lh(nil) = '0',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(lh:nil)') ).
fof(f262,axiom,
! [X0,X1] :
( list_succeeds(X1)
=> lh(cons(X0,X1)) = s(lh(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(lh:cons)') ).
fof(f263,axiom,
! [X0] :
( list_succeeds(X0)
=> nat_succeeds(lh(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(lh:types)') ).
fof(f266,axiom,
! [X0,X1] :
( ( list_succeeds(X0)
& list_succeeds(X1) )
=> lh('**'(X0,X1)) = '@+'(lh(X0),lh(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(app:lh)') ).
fof(f365,axiom,
! [X0,X1,X2] :
( split_succeeds(X0,X1,X2)
=> ( list_succeeds(X0)
& list_succeeds(X1)
& list_succeeds(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(split:types)') ).
fof(f366,axiom,
( ! [X0,X1,X2] :
( ( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X1 = cons(X3,X5)
& split_succeeds(X4,X2,X5)
& lh(X4) = '@+'(lh(X2),lh(X5)) )
| ( X0 = nil
& X1 = nil
& X2 = nil ) )
=> lh(X0) = '@+'(lh(X1),lh(X2)) )
=> ! [X0,X1,X2] :
( split_succeeds(X0,X1,X2)
=> lh(X0) = '@+'(lh(X1),lh(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction) ).
fof(f367,conjecture,
! [X0,X1,X2] :
( split_succeeds(X0,X1,X2)
=> lh(X0) = '@+'(lh(X1),lh(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(split:length)') ).
fof(f368,negated_conjecture,
~ ! [X0,X1,X2] :
( split_succeeds(X0,X1,X2)
=> lh(X0) = '@+'(lh(X1),lh(X2)) ),
inference(negated_conjecture,[status(cth)],[f367]) ).
fof(f401,plain,
( ! [X0,X1,X2] :
( ( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X1 = cons(X3,X5)
& split_succeeds(X4,X2,X5)
& lh(X4) = '@+'(lh(X2),lh(X5)) )
| ( X0 = nil
& X1 = nil
& X2 = nil ) )
=> lh(X0) = '@+'(lh(X1),lh(X2)) )
=> ! [X6,X7,X8] :
( split_succeeds(X6,X7,X8)
=> lh(X6) = '@+'(lh(X7),lh(X8)) ) ),
inference(rectify,[],[f366]) ).
fof(f403,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f498,plain,
! [X0,X1] :
( '@+'(s(X0),X1) = s('@+'(X0,X1))
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f153]) ).
fof(f504,plain,
! [X0,X1] :
( '@+'(X0,s(X1)) = '@+'(s(X0),X1)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f157]) ).
fof(f505,plain,
! [X0,X1] :
( '@+'(X0,s(X1)) = '@+'(s(X0),X1)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f504]) ).
fof(f506,plain,
! [X0,X1] :
( '@+'(X0,X1) = '@+'(X1,X0)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f158]) ).
fof(f507,plain,
! [X0,X1] :
( '@+'(X0,X1) = '@+'(X1,X0)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f506]) ).
fof(f665,plain,
! [X0,X1] :
( lh(cons(X0,X1)) = s(lh(X1))
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f262]) ).
fof(f666,plain,
! [X0] :
( nat_succeeds(lh(X0))
| ~ list_succeeds(X0) ),
inference(ennf_transformation,[],[f263]) ).
fof(f671,plain,
! [X0,X1] :
( lh('**'(X0,X1)) = '@+'(lh(X0),lh(X1))
| ~ list_succeeds(X0)
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f266]) ).
fof(f672,plain,
! [X0,X1] :
( lh('**'(X0,X1)) = '@+'(lh(X0),lh(X1))
| ~ list_succeeds(X0)
| ~ list_succeeds(X1) ),
inference(flattening,[],[f671]) ).
fof(f826,plain,
! [X0,X1,X2] :
( ( list_succeeds(X0)
& list_succeeds(X1)
& list_succeeds(X2) )
| ~ split_succeeds(X0,X1,X2) ),
inference(ennf_transformation,[],[f365]) ).
fof(f827,plain,
( ! [X6,X7,X8] :
( lh(X6) = '@+'(lh(X7),lh(X8))
| ~ split_succeeds(X6,X7,X8) )
| ? [X0,X1,X2] :
( lh(X0) != '@+'(lh(X1),lh(X2))
& ( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X1 = cons(X3,X5)
& split_succeeds(X4,X2,X5)
& lh(X4) = '@+'(lh(X2),lh(X5)) )
| ( X0 = nil
& X1 = nil
& X2 = nil ) ) ) ),
inference(ennf_transformation,[],[f401]) ).
fof(f828,plain,
? [X0,X1,X2] :
( lh(X0) != '@+'(lh(X1),lh(X2))
& split_succeeds(X0,X1,X2) ),
inference(ennf_transformation,[],[f368]) ).
fof(f858,definition,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X1 = cons(X3,X5)
& split_succeeds(X4,X2,X5)
& lh(X4) = '@+'(lh(X2),lh(X5)) )
| ~ sP17(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f859,plain,
( ! [X6,X7,X8] :
( lh(X6) = '@+'(lh(X7),lh(X8))
| ~ split_succeeds(X6,X7,X8) )
| ? [X0,X1,X2] :
( lh(X0) != '@+'(lh(X1),lh(X2))
& ( sP17(X0,X1,X2)
| ( X0 = nil
& X1 = nil
& X2 = nil ) ) ) ),
inference(definition_folding,[],[f827,f858]) ).
fof(f1040,plain,
! [X0] :
( ( list_succeeds(X0)
| ( ! [X1,X2] :
( cons(X1,X2) != X0
| ~ list_succeeds(X2) )
& nil != X0 ) )
& ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2) )
| X0 = nil
| ~ list_succeeds(X0) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f1041,plain,
! [X0] :
( ( list_succeeds(X0)
| ( ! [X1,X2] :
( cons(X1,X2) != X0
| ~ list_succeeds(X2) )
& nil != X0 ) )
& ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2) )
| X0 = nil
| ~ list_succeeds(X0) ) ),
inference(flattening,[],[f1040]) ).
fof(f1042,plain,
! [X0] :
( ( list_succeeds(X0)
| ( ! [X1,X2] :
( cons(X1,X2) != X0
| ~ list_succeeds(X2) )
& nil != X0 ) )
& ( ? [X3,X4] :
( cons(X3,X4) = X0
& list_succeeds(X4) )
| X0 = nil
| ~ list_succeeds(X0) ) ),
inference(rectify,[],[f1041]) ).
fof(f1043,plain,
! [X0] :
( ( list_succeeds(X0)
| ( ! [X1,X2] :
( cons(X1,X2) != X0
| ~ list_succeeds(X2) )
& nil != X0 ) )
& ( ( cons(sK168(X0),sK169(X0)) = X0
& list_succeeds(sK169(X0)) )
| X0 = nil
| ~ list_succeeds(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK168,sK169]),skolemize(X3,sK168(X0)),skolemize(X4,sK169(X0))],[f1042]) ).
fof(f1145,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X1 = cons(X3,X5)
& split_succeeds(X4,X2,X5)
& lh(X4) = '@+'(lh(X2),lh(X5)) )
| ~ sP17(X0,X1,X2) ),
inference(nnf_transformation,[],[f858]) ).
fof(f1146,plain,
! [X0,X1,X2] :
( ( cons(sK232(X0,X1,X2),sK233(X0,X1,X2)) = X0
& cons(sK232(X0,X1,X2),sK234(X0,X1,X2)) = X1
& split_succeeds(sK233(X0,X1,X2),X2,sK234(X0,X1,X2))
& lh(sK233(X0,X1,X2)) = '@+'(lh(X2),lh(sK234(X0,X1,X2))) )
| ~ sP17(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK232,sK233,sK234]),skolemize(X3,sK232(X0,X1,X2)),skolemize(X4,sK233(X0,X1,X2)),skolemize(X5,sK234(X0,X1,X2))],[f1145]) ).
fof(f1147,plain,
( ! [X0,X1,X2] :
( lh(X0) = '@+'(lh(X1),lh(X2))
| ~ split_succeeds(X0,X1,X2) )
| ? [X3,X4,X5] :
( lh(X3) != '@+'(lh(X4),lh(X5))
& ( sP17(X3,X4,X5)
| ( nil = X3
& nil = X4
& nil = X5 ) ) ) ),
inference(rectify,[],[f859]) ).
fof(f1148,plain,
( ! [X0,X1,X2] :
( lh(X0) = '@+'(lh(X1),lh(X2))
| ~ split_succeeds(X0,X1,X2) )
| ( lh(sK235) != '@+'(lh(sK236),lh(sK237))
& ( sP17(sK235,sK236,sK237)
| ( nil = sK235
& nil = sK236
& nil = sK237 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK235,sK236,sK237]),skolemize(X3,sK235),skolemize(X4,sK236),skolemize(X5,sK237)],[f1147]) ).
fof(f1149,plain,
( lh(sK238) != '@+'(lh(sK239),lh(sK240))
& split_succeeds(sK238,sK239,sK240) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK238,sK239,sK240]),skolemize(X0,sK238),skolemize(X1,sK239),skolemize(X2,sK240)],[f828]) ).
fof(f1156,plain,
! [X0,X1] : nil != cons(X0,X1),
inference(cnf_transformation,[],[f7]) ).
fof(f1157,plain,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f403]) ).
fof(f1538,plain,
! [X0] :
( ~ list_succeeds(X0)
| nil = X0
| cons(sK168(X0),sK169(X0)) = X0 ),
inference(cnf_transformation,[],[f1043]) ).
fof(f1540,plain,
! [X2,X0,X1] :
( list_succeeds(X0)
| cons(X1,X2) != X0
| ~ list_succeeds(X2) ),
inference(cnf_transformation,[],[f1043]) ).
fof(f1674,plain,
! [X0] : '@+'('0',X0) = X0,
inference(cnf_transformation,[],[f152]) ).
fof(f1675,plain,
! [X0,X1] :
( ~ nat_succeeds(X0)
| '@+'(s(X0),X1) = s('@+'(X0,X1)) ),
inference(cnf_transformation,[],[f498]) ).
fof(f1679,plain,
! [X0,X1] :
( ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@+'(s(X0),X1) = '@+'(X0,s(X1)) ),
inference(cnf_transformation,[],[f505]) ).
fof(f1680,plain,
! [X0,X1] :
( ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@+'(X0,X1) = '@+'(X1,X0) ),
inference(cnf_transformation,[],[f507]) ).
fof(f1787,plain,
'0' = lh(nil),
inference(cnf_transformation,[],[f261]) ).
fof(f1788,plain,
! [X0,X1] :
( ~ list_succeeds(X1)
| lh(cons(X0,X1)) = s(lh(X1)) ),
inference(cnf_transformation,[],[f665]) ).
fof(f1789,plain,
! [X0] :
( nat_succeeds(lh(X0))
| ~ list_succeeds(X0) ),
inference(cnf_transformation,[],[f666]) ).
fof(f1792,plain,
! [X0,X1] :
( ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| lh('**'(X0,X1)) = '@+'(lh(X0),lh(X1)) ),
inference(cnf_transformation,[],[f672]) ).
fof(f1904,plain,
! [X2,X0,X1] :
( ~ split_succeeds(X0,X1,X2)
| list_succeeds(X2) ),
inference(cnf_transformation,[],[f826]) ).
fof(f1905,plain,
! [X2,X0,X1] :
( ~ split_succeeds(X0,X1,X2)
| list_succeeds(X1) ),
inference(cnf_transformation,[],[f826]) ).
fof(f1906,plain,
! [X2,X0,X1] :
( ~ split_succeeds(X0,X1,X2)
| list_succeeds(X0) ),
inference(cnf_transformation,[],[f826]) ).
fof(f1907,plain,
! [X2,X0,X1] :
( ~ sP17(X0,X1,X2)
| lh(sK233(X0,X1,X2)) = '@+'(lh(X2),lh(sK234(X0,X1,X2))) ),
inference(cnf_transformation,[],[f1146]) ).
fof(f1908,plain,
! [X2,X0,X1] :
( split_succeeds(sK233(X0,X1,X2),X2,sK234(X0,X1,X2))
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f1146]) ).
fof(f1909,plain,
! [X2,X0,X1] :
( ~ sP17(X0,X1,X2)
| cons(sK232(X0,X1,X2),sK234(X0,X1,X2)) = X1 ),
inference(cnf_transformation,[],[f1146]) ).
fof(f1910,plain,
! [X2,X0,X1] :
( ~ sP17(X0,X1,X2)
| cons(sK232(X0,X1,X2),sK233(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f1146]) ).
fof(f1911,plain,
! [X2,X0,X1] :
( lh(X0) = '@+'(lh(X1),lh(X2))
| ~ split_succeeds(X0,X1,X2)
| sP17(sK235,sK236,sK237)
| nil = sK237 ),
inference(cnf_transformation,[],[f1148]) ).
fof(f1912,plain,
! [X2,X0,X1] :
( lh(X0) = '@+'(lh(X1),lh(X2))
| ~ split_succeeds(X0,X1,X2)
| sP17(sK235,sK236,sK237)
| nil = sK236 ),
inference(cnf_transformation,[],[f1148]) ).
fof(f1913,plain,
! [X2,X0,X1] :
( lh(X0) = '@+'(lh(X1),lh(X2))
| ~ split_succeeds(X0,X1,X2)
| sP17(sK235,sK236,sK237)
| nil = sK235 ),
inference(cnf_transformation,[],[f1148]) ).
fof(f1914,plain,
! [X2,X0,X1] :
( lh(X0) = '@+'(lh(X1),lh(X2))
| ~ split_succeeds(X0,X1,X2)
| lh(sK235) != '@+'(lh(sK236),lh(sK237)) ),
inference(cnf_transformation,[],[f1148]) ).
fof(f1915,plain,
split_succeeds(sK238,sK239,sK240),
inference(cnf_transformation,[],[f1149]) ).
fof(f1916,plain,
lh(sK238) != '@+'(lh(sK239),lh(sK240)),
inference(cnf_transformation,[],[f1149]) ).
fof(f2057,plain,
! [X2,X1] :
( list_succeeds(cons(X1,X2))
| ~ list_succeeds(X2) ),
inference(equality_resolution,[],[f1540]) ).
fof(f2116,definition,
sF241 = lh(sK238),
introduced(definition,[new_symbols(definition,[sF241])],[function_definition]) ).
fof(f2117,plain,
lh(sK238) = sF241,
inference(reorient_equations,[],[f2116]) ).
fof(f2118,definition,
sF242 = lh(sK239),
introduced(definition,[new_symbols(definition,[sF242])],[function_definition]) ).
fof(f2119,plain,
lh(sK239) = sF242,
inference(reorient_equations,[],[f2118]) ).
fof(f2120,definition,
sF243 = lh(sK240),
introduced(definition,[new_symbols(definition,[sF243])],[function_definition]) ).
fof(f2121,plain,
lh(sK240) = sF243,
inference(reorient_equations,[],[f2120]) ).
fof(f2122,definition,
sF244 = '@+'(sF242,sF243),
introduced(definition,[new_symbols(definition,[sF244])],[function_definition]) ).
fof(f2123,plain,
'@+'(sF242,sF243) = sF244,
inference(reorient_equations,[],[f2122]) ).
fof(f2124,plain,
sF241 != sF244,
inference(definition_folding,[],[f1916,f2123,f2121,f2119,f2117]) ).
fof(f2126,definition,
( spl245_1
<=> nil = sK237 ),
introduced(definition,[new_symbols(definition,[spl245_1])],[avatar_definition]) ).
fof(f2128,plain,
( nil = sK237
| ~ spl245_1 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f2130,definition,
( spl245_2
<=> sP17(sK235,sK236,sK237) ),
introduced(definition,[new_symbols(definition,[spl245_2])],[avatar_definition]) ).
fof(f2132,plain,
( sP17(sK235,sK236,sK237)
| ~ spl245_2 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f2134,definition,
( spl245_3
<=> ! [X2,X0,X1] :
( lh(X0) = '@+'(lh(X1),lh(X2))
| ~ split_succeeds(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl245_3])],[avatar_definition]) ).
fof(f2135,plain,
( ! [X2,X0,X1] :
( ~ split_succeeds(X0,X1,X2)
| lh(X0) = '@+'(lh(X1),lh(X2)) )
| ~ spl245_3 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f2136,plain,
( spl245_1
| spl245_2
| spl245_3 ),
inference(avatar_split_clause,[],[f1911,f2134,f2130,f2126]) ).
fof(f2138,definition,
( spl245_4
<=> nil = sK236 ),
introduced(definition,[new_symbols(definition,[spl245_4])],[avatar_definition]) ).
fof(f2139,plain,
( nil != sK236
| spl245_4 ),
inference(avatar_component_clause,[],[f2138]) ).
fof(f2140,plain,
( nil = sK236
| ~ spl245_4 ),
inference(avatar_component_clause,[],[f2138]) ).
fof(f2141,plain,
( spl245_4
| spl245_2
| spl245_3 ),
inference(avatar_split_clause,[],[f1912,f2134,f2130,f2138]) ).
fof(f2143,definition,
( spl245_5
<=> nil = sK235 ),
introduced(definition,[new_symbols(definition,[spl245_5])],[avatar_definition]) ).
fof(f2144,plain,
( nil != sK235
| spl245_5 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f2145,plain,
( nil = sK235
| ~ spl245_5 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f2146,plain,
( spl245_5
| spl245_2
| spl245_3 ),
inference(avatar_split_clause,[],[f1913,f2134,f2130,f2143]) ).
fof(f2148,definition,
( spl245_6
<=> lh(sK235) = '@+'(lh(sK236),lh(sK237)) ),
introduced(definition,[new_symbols(definition,[spl245_6])],[avatar_definition]) ).
fof(f2150,plain,
( lh(sK235) != '@+'(lh(sK236),lh(sK237))
| spl245_6 ),
inference(avatar_component_clause,[],[f2148]) ).
fof(f2151,plain,
( ~ spl245_6
| spl245_3 ),
inference(avatar_split_clause,[],[f1914,f2134,f2148]) ).
fof(f2253,plain,
! [X2,X0,X1] :
( ~ sP17(X0,X1,X2)
| list_succeeds(X2) ),
inference(resolution,[],[f1908,f1905]) ).
fof(f2254,plain,
! [X2,X0,X1] :
( list_succeeds(sK233(X0,X1,X2))
| ~ sP17(X0,X1,X2) ),
inference(resolution,[],[f1908,f1906]) ).
fof(f2419,plain,
( list_succeeds(sK237)
| ~ spl245_2 ),
inference(resolution,[],[f2253,f2132]) ).
fof(f2549,definition,
( spl245_42
<=> nat_succeeds(lh(sK237)) ),
introduced(definition,[new_symbols(definition,[spl245_42])],[avatar_definition]) ).
fof(f2550,plain,
( nat_succeeds(lh(sK237))
| ~ spl245_42 ),
inference(avatar_component_clause,[],[f2549]) ).
fof(f2551,plain,
( ~ nat_succeeds(lh(sK237))
| spl245_42 ),
inference(avatar_component_clause,[],[f2549]) ).
fof(f2583,plain,
( ~ list_succeeds(sK237)
| spl245_42 ),
inference(resolution,[],[f2551,f1789]) ).
fof(f2584,plain,
( $false
| ~ spl245_2
| spl245_42 ),
inference(forward_subsumption_resolution,[],[f2583,f2419]) ).
fof(f2585,plain,
( ~ spl245_2
| spl245_42 ),
inference(avatar_contradiction_clause,[],[f2584]) ).
fof(f2587,plain,
( ! [X0] : '@+'(s(lh(sK237)),X0) = s('@+'(lh(sK237),X0))
| ~ spl245_42 ),
inference(resolution,[],[f2550,f1675]) ).
fof(f2631,plain,
( lh(sK235) != '@+'(lh(nil),lh(sK237))
| ~ spl245_4
| spl245_6 ),
inference(superposition,[],[f2150,f2140]) ).
fof(f2637,plain,
( lh(sK235) != '@+'(lh(nil),lh(nil))
| ~ spl245_1
| ~ spl245_4
| spl245_6 ),
inference(forward_demodulation,[],[f2631,f2128]) ).
fof(f2639,plain,
( lh(sK235) != '@+'('0','0')
| ~ spl245_1
| ~ spl245_4
| spl245_6 ),
inference(forward_demodulation,[],[f2637,f1787]) ).
fof(f2641,plain,
( '0' != lh(sK235)
| ~ spl245_1
| ~ spl245_4
| spl245_6 ),
inference(forward_demodulation,[],[f2639,f1674]) ).
fof(f2643,plain,
( '0' != lh(nil)
| ~ spl245_1
| ~ spl245_4
| ~ spl245_5
| spl245_6 ),
inference(forward_demodulation,[],[f2641,f2145]) ).
fof(f2645,plain,
( $false
| ~ spl245_1
| ~ spl245_4
| ~ spl245_5
| spl245_6 ),
inference(forward_subsumption_resolution,[],[f2643,f1787]) ).
fof(f2646,plain,
( ~ spl245_1
| ~ spl245_4
| ~ spl245_5
| spl245_6 ),
inference(avatar_contradiction_clause,[],[f2645]) ).
fof(f2696,plain,
( lh(sK238) = '@+'(lh(sK239),lh(sK240))
| ~ spl245_3 ),
inference(resolution,[],[f2135,f1915]) ).
fof(f2697,plain,
( lh(sK238) = '@+'(lh(sK239),sF243)
| ~ spl245_3 ),
inference(forward_demodulation,[],[f2696,f2121]) ).
fof(f2699,plain,
( lh(sK238) = '@+'(sF242,sF243)
| ~ spl245_3 ),
inference(forward_demodulation,[],[f2697,f2119]) ).
fof(f2700,plain,
( lh(sK238) = sF244
| ~ spl245_3 ),
inference(forward_demodulation,[],[f2699,f2123]) ).
fof(f2701,plain,
( sF241 = sF244
| ~ spl245_3 ),
inference(forward_demodulation,[],[f2700,f2117]) ).
fof(f2702,plain,
( $false
| ~ spl245_3 ),
inference(forward_subsumption_resolution,[],[f2701,f2124]) ).
fof(f2703,plain,
~ spl245_3,
inference(avatar_contradiction_clause,[],[f2702]) ).
fof(f2840,definition,
( spl245_68
<=> list_succeeds(sK235) ),
introduced(definition,[new_symbols(definition,[spl245_68])],[avatar_definition]) ).
fof(f2841,plain,
( list_succeeds(sK235)
| ~ spl245_68 ),
inference(avatar_component_clause,[],[f2840]) ).
fof(f2842,plain,
( ~ list_succeeds(sK235)
| spl245_68 ),
inference(avatar_component_clause,[],[f2840]) ).
fof(f4119,plain,
( sP17(nil,sK236,sK237)
| ~ spl245_2
| ~ spl245_5 ),
inference(forward_demodulation,[],[f2132,f2145]) ).
fof(f4149,plain,
( ! [X0] :
( ~ list_succeeds(X0)
| lh('**'(X0,sK237)) = '@+'(lh(X0),lh(sK237)) )
| ~ spl245_2 ),
inference(resolution,[],[f2419,f1792]) ).
fof(f4220,plain,
( nil = cons(sK232(nil,sK236,sK237),sK233(nil,sK236,sK237))
| ~ spl245_2
| ~ spl245_5 ),
inference(resolution,[],[f4119,f1910]) ).
fof(f4223,plain,
( $false
| ~ spl245_2
| ~ spl245_5 ),
inference(forward_subsumption_resolution,[],[f4220,f1156]) ).
fof(f4224,plain,
( ~ spl245_2
| ~ spl245_5 ),
inference(avatar_contradiction_clause,[],[f4223]) ).
fof(f4239,plain,
( sK236 = cons(sK232(sK235,sK236,sK237),sK234(sK235,sK236,sK237))
| ~ spl245_2 ),
inference(resolution,[],[f2132,f1909]) ).
fof(f4240,plain,
( sK235 = cons(sK232(sK235,sK236,sK237),sK233(sK235,sK236,sK237))
| ~ spl245_2 ),
inference(resolution,[],[f2132,f1910]) ).
fof(f4241,plain,
( lh(sK233(sK235,sK236,sK237)) = '@+'(lh(sK237),lh(sK234(sK235,sK236,sK237)))
| ~ spl245_2 ),
inference(resolution,[],[f2132,f1907]) ).
fof(f4250,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK235
| sK233(sK235,sK236,sK237) = X1 )
| ~ spl245_2 ),
inference(superposition,[],[f1157,f4240]) ).
fof(f4256,plain,
( list_succeeds(sK235)
| ~ list_succeeds(sK233(sK235,sK236,sK237))
| ~ spl245_2 ),
inference(superposition,[],[f2057,f4240]) ).
fof(f4258,definition,
( spl245_195
<=> list_succeeds(sK233(sK235,sK236,sK237)) ),
introduced(definition,[new_symbols(definition,[spl245_195])],[avatar_definition]) ).
fof(f4259,plain,
( list_succeeds(sK233(sK235,sK236,sK237))
| ~ spl245_195 ),
inference(avatar_component_clause,[],[f4258]) ).
fof(f4260,plain,
( ~ list_succeeds(sK233(sK235,sK236,sK237))
| spl245_195 ),
inference(avatar_component_clause,[],[f4258]) ).
fof(f4273,plain,
( nil != sK236
| ~ spl245_2 ),
inference(superposition,[],[f1156,f4239]) ).
fof(f4275,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK236
| sK234(sK235,sK236,sK237) = X1 )
| ~ spl245_2 ),
inference(superposition,[],[f1157,f4239]) ).
fof(f4281,plain,
( list_succeeds(sK236)
| ~ list_succeeds(sK234(sK235,sK236,sK237))
| ~ spl245_2 ),
inference(superposition,[],[f2057,f4239]) ).
fof(f4283,definition,
( spl245_198
<=> list_succeeds(sK234(sK235,sK236,sK237)) ),
introduced(definition,[new_symbols(definition,[spl245_198])],[avatar_definition]) ).
fof(f4284,plain,
( list_succeeds(sK234(sK235,sK236,sK237))
| ~ spl245_198 ),
inference(avatar_component_clause,[],[f4283]) ).
fof(f4285,plain,
( ~ list_succeeds(sK234(sK235,sK236,sK237))
| spl245_198 ),
inference(avatar_component_clause,[],[f4283]) ).
fof(f4287,definition,
( spl245_199
<=> list_succeeds(sK236) ),
introduced(definition,[new_symbols(definition,[spl245_199])],[avatar_definition]) ).
fof(f4289,plain,
( list_succeeds(sK236)
| ~ spl245_199 ),
inference(avatar_component_clause,[],[f4287]) ).
fof(f4290,plain,
( ~ spl245_198
| spl245_199
| ~ spl245_2 ),
inference(avatar_split_clause,[],[f4281,f2130,f4287,f4283]) ).
fof(f4308,definition,
( spl245_202
<=> nat_succeeds(lh(sK234(sK235,sK236,sK237))) ),
introduced(definition,[new_symbols(definition,[spl245_202])],[avatar_definition]) ).
fof(f4309,plain,
( nat_succeeds(lh(sK234(sK235,sK236,sK237)))
| ~ spl245_202 ),
inference(avatar_component_clause,[],[f4308]) ).
fof(f4310,plain,
( ~ nat_succeeds(lh(sK234(sK235,sK236,sK237)))
| spl245_202 ),
inference(avatar_component_clause,[],[f4308]) ).
fof(f4650,plain,
( ~ list_succeeds(sK233(sK235,sK236,sK237))
| ~ spl245_2
| spl245_68 ),
inference(forward_subsumption_resolution,[],[f4256,f2842]) ).
fof(f4651,plain,
( $false
| ~ spl245_2
| spl245_68
| ~ spl245_195 ),
inference(forward_subsumption_resolution,[],[f4650,f4259]) ).
fof(f4652,plain,
( ~ spl245_2
| spl245_68
| ~ spl245_195 ),
inference(avatar_contradiction_clause,[],[f4651]) ).
fof(f4653,plain,
( ~ sP17(sK235,sK236,sK237)
| spl245_195 ),
inference(resolution,[],[f4260,f2254]) ).
fof(f4654,plain,
( $false
| ~ spl245_2
| spl245_195 ),
inference(forward_subsumption_resolution,[],[f4653,f2132]) ).
fof(f4655,plain,
( ~ spl245_2
| spl245_195 ),
inference(avatar_contradiction_clause,[],[f4654]) ).
fof(f4657,plain,
( nil = sK235
| sK235 = cons(sK168(sK235),sK169(sK235))
| ~ spl245_68 ),
inference(resolution,[],[f2841,f1538]) ).
fof(f4668,plain,
( sK235 = cons(sK168(sK235),sK169(sK235))
| spl245_5
| ~ spl245_68 ),
inference(forward_subsumption_resolution,[],[f4657,f2144]) ).
fof(f4672,plain,
( ! [X0] : lh(cons(X0,sK233(sK235,sK236,sK237))) = s(lh(sK233(sK235,sK236,sK237)))
| ~ spl245_195 ),
inference(resolution,[],[f4259,f1788]) ).
fof(f4700,plain,
( sK235 != sK235
| sK233(sK235,sK236,sK237) = sK169(sK235)
| ~ spl245_2
| spl245_5
| ~ spl245_68 ),
inference(superposition,[],[f4250,f4668]) ).
fof(f4705,plain,
( sK233(sK235,sK236,sK237) = sK169(sK235)
| ~ spl245_2
| spl245_5
| ~ spl245_68 ),
inference(trivial_inequality_removal,[],[f4700]) ).
fof(f4713,plain,
( split_succeeds(sK169(sK235),sK237,sK234(sK235,sK236,sK237))
| ~ sP17(sK235,sK236,sK237)
| ~ spl245_2
| spl245_5
| ~ spl245_68 ),
inference(superposition,[],[f1908,f4705]) ).
fof(f4714,plain,
( split_succeeds(sK169(sK235),sK237,sK234(sK235,sK236,sK237))
| ~ spl245_2
| spl245_5
| ~ spl245_68 ),
inference(forward_subsumption_resolution,[],[f4713,f2132]) ).
fof(f4716,plain,
( list_succeeds(sK234(sK235,sK236,sK237))
| ~ spl245_2
| spl245_5
| ~ spl245_68 ),
inference(resolution,[],[f4714,f1904]) ).
fof(f4928,plain,
( ~ list_succeeds(sK234(sK235,sK236,sK237))
| spl245_202 ),
inference(resolution,[],[f4310,f1789]) ).
fof(f4931,plain,
( $false
| ~ spl245_198
| spl245_202 ),
inference(forward_subsumption_resolution,[],[f4928,f4284]) ).
fof(f4932,plain,
( ~ spl245_198
| spl245_202 ),
inference(avatar_contradiction_clause,[],[f4931]) ).
fof(f4936,plain,
( $false
| ~ spl245_2
| spl245_5
| ~ spl245_68
| spl245_198 ),
inference(forward_subsumption_resolution,[],[f4716,f4285]) ).
fof(f4937,plain,
( ~ spl245_2
| spl245_5
| ~ spl245_68
| spl245_198 ),
inference(avatar_contradiction_clause,[],[f4936]) ).
fof(f4941,plain,
( nil = sK236
| sK236 = cons(sK168(sK236),sK169(sK236))
| ~ spl245_199 ),
inference(resolution,[],[f4289,f1538]) ).
fof(f4945,plain,
( ! [X0] :
( ~ list_succeeds(X0)
| lh('**'(X0,sK236)) = '@+'(lh(X0),lh(sK236)) )
| ~ spl245_199 ),
inference(resolution,[],[f4289,f1792]) ).
fof(f4952,plain,
( sK236 = cons(sK168(sK236),sK169(sK236))
| spl245_4
| ~ spl245_199 ),
inference(forward_subsumption_resolution,[],[f4941,f2139]) ).
fof(f4967,plain,
( ! [X0] : lh(cons(X0,sK234(sK235,sK236,sK237))) = s(lh(sK234(sK235,sK236,sK237)))
| ~ spl245_198 ),
inference(resolution,[],[f4284,f1788]) ).
fof(f4968,plain,
( ! [X0] :
( ~ list_succeeds(X0)
| lh('**'(X0,sK234(sK235,sK236,sK237))) = '@+'(lh(X0),lh(sK234(sK235,sK236,sK237))) )
| ~ spl245_198 ),
inference(resolution,[],[f4284,f1792]) ).
fof(f5107,plain,
( lh('**'(sK237,sK236)) = '@+'(lh(sK237),lh(sK236))
| ~ spl245_2
| ~ spl245_199 ),
inference(resolution,[],[f4945,f2419]) ).
fof(f5321,plain,
( lh(sK236) = s(lh(sK234(sK235,sK236,sK237)))
| ~ spl245_2
| ~ spl245_198 ),
inference(superposition,[],[f4967,f4239]) ).
fof(f5373,plain,
( lh(sK235) = s(lh(sK233(sK235,sK236,sK237)))
| ~ spl245_2
| ~ spl245_195 ),
inference(superposition,[],[f4672,f4240]) ).
fof(f5387,plain,
( lh(sK235) = s(lh(sK169(sK235)))
| ~ spl245_2
| spl245_5
| ~ spl245_68
| ~ spl245_195 ),
inference(forward_demodulation,[],[f5373,f4705]) ).
fof(f5613,definition,
( spl245_285
<=> nat_succeeds(lh(sK236)) ),
introduced(definition,[new_symbols(definition,[spl245_285])],[avatar_definition]) ).
fof(f5614,plain,
( nat_succeeds(lh(sK236))
| ~ spl245_285 ),
inference(avatar_component_clause,[],[f5613]) ).
fof(f5615,plain,
( ~ nat_succeeds(lh(sK236))
| spl245_285 ),
inference(avatar_component_clause,[],[f5613]) ).
fof(f5670,plain,
( ~ list_succeeds(sK236)
| spl245_285 ),
inference(resolution,[],[f5615,f1789]) ).
fof(f5671,plain,
( $false
| ~ spl245_199
| spl245_285 ),
inference(forward_subsumption_resolution,[],[f5670,f4289]) ).
fof(f5672,plain,
( ~ spl245_199
| spl245_285 ),
inference(avatar_contradiction_clause,[],[f5671]) ).
fof(f6437,plain,
( ! [X0] :
( ~ nat_succeeds(X0)
| '@+'(lh(sK237),X0) = '@+'(X0,lh(sK237)) )
| ~ spl245_42 ),
inference(resolution,[],[f1680,f2550]) ).
fof(f7387,plain,
( sK236 != sK236
| sK234(sK235,sK236,sK237) = sK169(sK236)
| ~ spl245_2
| spl245_4
| ~ spl245_199 ),
inference(superposition,[],[f4275,f4952]) ).
fof(f7399,plain,
( sK234(sK235,sK236,sK237) = sK169(sK236)
| ~ spl245_2
| spl245_4
| ~ spl245_199 ),
inference(trivial_inequality_removal,[],[f7387]) ).
fof(f7823,plain,
( '@+'(lh(sK236),lh(sK237)) = lh('**'(sK236,sK237))
| ~ spl245_2
| ~ spl245_199 ),
inference(resolution,[],[f4149,f4289]) ).
fof(f7977,plain,
( lh(sK235) != lh('**'(sK236,sK237))
| ~ spl245_2
| spl245_6
| ~ spl245_199 ),
inference(superposition,[],[f2150,f7823]) ).
fof(f10271,plain,
( '@+'(lh(sK237),lh(sK234(sK235,sK236,sK237))) = lh('**'(sK237,sK234(sK235,sK236,sK237)))
| ~ spl245_2
| ~ spl245_198 ),
inference(resolution,[],[f4968,f2419]) ).
fof(f10643,plain,
( '@+'(lh(sK236),lh(sK237)) = '@+'(lh(sK237),lh(sK236))
| ~ spl245_42
| ~ spl245_285 ),
inference(resolution,[],[f6437,f5614]) ).
fof(f10649,plain,
( '@+'(lh(sK236),lh(sK237)) = lh('**'(sK237,sK236))
| ~ spl245_2
| ~ spl245_42
| ~ spl245_199
| ~ spl245_285 ),
inference(forward_demodulation,[],[f10643,f5107]) ).
fof(f11888,plain,
( ! [X0] :
( ~ nat_succeeds(X0)
| '@+'(s(X0),lh(sK234(sK235,sK236,sK237))) = '@+'(X0,s(lh(sK234(sK235,sK236,sK237)))) )
| ~ spl245_202 ),
inference(resolution,[],[f1679,f4309]) ).
fof(f11897,plain,
( ! [X0] :
( '@+'(X0,lh(sK236)) = '@+'(s(X0),lh(sK234(sK235,sK236,sK237)))
| ~ nat_succeeds(X0) )
| ~ spl245_2
| ~ spl245_198
| ~ spl245_202 ),
inference(forward_demodulation,[],[f11888,f5321]) ).
fof(f14230,plain,
( lh('**'(sK237,sK236)) = lh('**'(sK236,sK237))
| ~ spl245_2
| ~ spl245_42
| ~ spl245_199
| ~ spl245_285 ),
inference(forward_demodulation,[],[f10649,f7823]) ).
fof(f25646,plain,
( '@+'(lh(sK237),lh(sK169(sK236))) = lh('**'(sK237,sK169(sK236)))
| ~ spl245_2
| spl245_4
| ~ spl245_198
| ~ spl245_199 ),
inference(forward_demodulation,[],[f10271,f7399]) ).
fof(f25690,plain,
( ! [X0] :
( ~ nat_succeeds(X0)
| '@+'(X0,lh(sK236)) = '@+'(s(X0),lh(sK169(sK236))) )
| ~ spl245_2
| spl245_4
| ~ spl245_198
| ~ spl245_199
| ~ spl245_202 ),
inference(forward_demodulation,[],[f11897,f7399]) ).
fof(f26168,plain,
( lh(sK233(sK235,sK236,sK237)) = '@+'(lh(sK237),lh(sK169(sK236)))
| ~ spl245_2
| spl245_4
| ~ spl245_199 ),
inference(superposition,[],[f4241,f7399]) ).
fof(f26206,plain,
( lh(sK233(sK235,sK236,sK237)) = lh('**'(sK237,sK169(sK236)))
| ~ spl245_2
| spl245_4
| ~ spl245_198
| ~ spl245_199 ),
inference(forward_demodulation,[],[f26168,f25646]) ).
fof(f26212,plain,
( lh(sK169(sK235)) = lh('**'(sK237,sK169(sK236)))
| ~ spl245_2
| spl245_4
| spl245_5
| ~ spl245_68
| ~ spl245_198
| ~ spl245_199 ),
inference(forward_demodulation,[],[f26206,f4705]) ).
fof(f26304,plain,
( '@+'(lh(sK237),lh(sK236)) = '@+'(s(lh(sK237)),lh(sK169(sK236)))
| ~ spl245_2
| spl245_4
| ~ spl245_42
| ~ spl245_198
| ~ spl245_199
| ~ spl245_202 ),
inference(resolution,[],[f25690,f2550]) ).
fof(f26313,plain,
( '@+'(lh(sK237),lh(sK236)) = s('@+'(lh(sK237),lh(sK169(sK236))))
| ~ spl245_2
| spl245_4
| ~ spl245_42
| ~ spl245_198
| ~ spl245_199
| ~ spl245_202 ),
inference(forward_demodulation,[],[f26304,f2587]) ).
fof(f26329,plain,
( '@+'(lh(sK237),lh(sK236)) = s(lh('**'(sK237,sK169(sK236))))
| ~ spl245_2
| spl245_4
| ~ spl245_42
| ~ spl245_198
| ~ spl245_199
| ~ spl245_202 ),
inference(forward_demodulation,[],[f26313,f25646]) ).
fof(f26341,plain,
( s(lh(sK169(sK235))) = '@+'(lh(sK237),lh(sK236))
| ~ spl245_2
| spl245_4
| spl245_5
| ~ spl245_42
| ~ spl245_68
| ~ spl245_198
| ~ spl245_199
| ~ spl245_202 ),
inference(forward_demodulation,[],[f26329,f26212]) ).
fof(f26349,plain,
( s(lh(sK169(sK235))) = lh('**'(sK237,sK236))
| ~ spl245_2
| spl245_4
| spl245_5
| ~ spl245_42
| ~ spl245_68
| ~ spl245_198
| ~ spl245_199
| ~ spl245_202 ),
inference(forward_demodulation,[],[f26341,f5107]) ).
fof(f26354,plain,
( s(lh(sK169(sK235))) = lh('**'(sK236,sK237))
| ~ spl245_2
| spl245_4
| spl245_5
| ~ spl245_42
| ~ spl245_68
| ~ spl245_198
| ~ spl245_199
| ~ spl245_202
| ~ spl245_285 ),
inference(forward_demodulation,[],[f26349,f14230]) ).
fof(f26355,plain,
( lh(sK235) = lh('**'(sK236,sK237))
| ~ spl245_2
| spl245_4
| spl245_5
| ~ spl245_42
| ~ spl245_68
| ~ spl245_195
| ~ spl245_198
| ~ spl245_199
| ~ spl245_202
| ~ spl245_285 ),
inference(forward_demodulation,[],[f26354,f5387]) ).
fof(f26356,plain,
( $false
| ~ spl245_2
| spl245_4
| spl245_5
| spl245_6
| ~ spl245_42
| ~ spl245_68
| ~ spl245_195
| ~ spl245_198
| ~ spl245_199
| ~ spl245_202
| ~ spl245_285 ),
inference(forward_subsumption_resolution,[],[f26355,f7977]) ).
fof(f26357,plain,
( ~ spl245_2
| spl245_4
| spl245_5
| spl245_6
| ~ spl245_42
| ~ spl245_68
| ~ spl245_195
| ~ spl245_198
| ~ spl245_199
| ~ spl245_202
| ~ spl245_285 ),
inference(avatar_contradiction_clause,[],[f26356]) ).
fof(f26359,plain,
( $false
| ~ spl245_2
| ~ spl245_4 ),
inference(forward_subsumption_resolution,[],[f4273,f2140]) ).
fof(f26360,plain,
( ~ spl245_2
| ~ spl245_4 ),
inference(avatar_contradiction_clause,[],[f26359]) ).
cnf(s1,plain,
( spl245_1
| spl245_2
| spl245_3 ),
inference(sat_conversion,[],[f2136]) ).
cnf(s2,plain,
( spl245_2
| spl245_3
| spl245_4 ),
inference(sat_conversion,[],[f2141]) ).
cnf(s3,plain,
( spl245_2
| spl245_3
| spl245_5 ),
inference(sat_conversion,[],[f2146]) ).
cnf(s4,plain,
( spl245_3
| ~ spl245_6 ),
inference(sat_conversion,[],[f2151]) ).
cnf(s39,plain,
( ~ spl245_2
| spl245_42 ),
inference(sat_conversion,[],[f2585]) ).
cnf(s44,plain,
( ~ spl245_1
| ~ spl245_4
| ~ spl245_5
| spl245_6 ),
inference(sat_conversion,[],[f2646]) ).
cnf(s47,plain,
~ spl245_3,
inference(sat_conversion,[],[f2703]) ).
cnf(s155,plain,
( ~ spl245_2
| ~ spl245_5 ),
inference(sat_conversion,[],[f4224]) ).
cnf(s161,plain,
( ~ spl245_2
| ~ spl245_198
| spl245_199 ),
inference(sat_conversion,[],[f4290]) ).
cnf(s182,plain,
( ~ spl245_2
| spl245_68
| ~ spl245_195 ),
inference(sat_conversion,[],[f4652]) ).
cnf(s183,plain,
( ~ spl245_2
| spl245_195 ),
inference(sat_conversion,[],[f4655]) ).
cnf(s197,plain,
( ~ spl245_198
| spl245_202 ),
inference(sat_conversion,[],[f4932]) ).
cnf(s199,plain,
( ~ spl245_2
| spl245_5
| ~ spl245_68
| spl245_198 ),
inference(sat_conversion,[],[f4937]) ).
cnf(s238,plain,
( ~ spl245_199
| spl245_285 ),
inference(sat_conversion,[],[f5672]) ).
cnf(s1200,plain,
( ~ spl245_2
| spl245_4
| spl245_5
| spl245_6
| ~ spl245_42
| ~ spl245_68
| ~ spl245_195
| ~ spl245_198
| ~ spl245_199
| ~ spl245_202
| ~ spl245_285 ),
inference(sat_conversion,[],[f26357]) ).
cnf(s1201,plain,
( ~ spl245_2
| ~ spl245_4 ),
inference(sat_conversion,[],[f26360]) ).
cnf(s1298,plain,
~ spl245_6,
inference(rat,[],[s4,s47]) ).
cnf(s1299,plain,
( spl245_2
| spl245_5 ),
inference(rat,[],[s3,s47]) ).
cnf(s1300,plain,
( spl245_2
| spl245_4 ),
inference(rat,[],[s2,s47]) ).
cnf(s1301,plain,
( spl245_1
| spl245_2 ),
inference(rat,[],[s1,s47]) ).
cnf(s1302,plain,
~ spl245_2,
inference(rat,[],[s1200,s238,s161,s197,s199,s39,s155,s182,s183,s1201,s1298]) ).
cnf(s1303,plain,
spl245_5,
inference(rat,[],[s1299,s1302]) ).
cnf(s1304,plain,
spl245_4,
inference(rat,[],[s1300,s1302]) ).
cnf(s1305,plain,
spl245_1,
inference(rat,[],[s1301,s1302]) ).
cnf(s1307,plain,
$false,
inference(rat,[],[s44,s1298,s1303,s1305,s1304]) ).
fof(f27264,plain,
$false,
inference(avatar_sat_refutation,[],[s1307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX031+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 14:55:32 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.73/2.60 % (2692117)Detected formulas, will run a generic FOF schedule.
% 14.73/2.60 % (2692128)dis-21_1_sil=8000:lcm=predicate:random_seed=1856029059:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 14.73/2.60 % (2692122)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2828603866:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.73/2.60 % (2692125)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=587950416:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.73/2.60 % (2692123)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3625091481:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.73/2.60 % (2692124)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=553023322:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.73/2.60 % (2692126)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=653367297:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.73/2.60 % (2692127)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2450997345:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.73/2.60 % (2692128)Instruction limit reached!
% 14.73/2.60 % (2692128)------------------------------
% 14.73/2.60 % (2692128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/2.60 % (2692128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/2.60 % (2692128)CaDiCaL version: 2.1.3
% 14.73/2.60 % (2692128)Termination reason: Instruction limit
% 14.73/2.60 % (2692128)Termination phase: Saturation
% 14.73/2.60 % (2692128)Time elapsed: 0.042 s
% 14.73/2.60 % (2692128)Peak memory usage: 90 MB
% 14.73/2.60 % (2692128)Instructions burned: 129 (million)
% 14.73/2.60 % (2692125)Refutation not found, incomplete strategy
% 14.73/2.60 % (2692125)------------------------------
% 14.73/2.60 % (2692125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/2.60 % (2692125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/2.60 % (2692125)CaDiCaL version: 2.1.3
% 14.73/2.60 % (2692125)Termination reason: Refutation not found, incomplete strategy
% 14.73/2.60 % (2692125)Time elapsed: 0.005 s
% 14.73/2.60 % (2692125)Peak memory usage: 89 MB
% 14.73/2.60 % (2692125)Instructions burned: 6 (million)
% 14.73/2.60 % (2692126)Instruction limit reached!
% 14.73/2.60 % (2692126)------------------------------
% 14.73/2.60 % (2692126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/2.60 % (2692126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/2.60 % (2692126)CaDiCaL version: 2.1.3
% 14.73/2.60 % (2692126)Termination reason: Instruction limit
% 14.73/2.60 % (2692126)Termination phase: Saturation
% 14.73/2.60 % (2692126)Time elapsed: 0.073 s
% 14.73/2.60 % (2692126)Peak memory usage: 89 MB
% 14.73/2.60 % (2692126)Instructions burned: 120 (million)
% 14.73/2.60 % (2692127)Instruction limit reached!
% 14.73/2.60 % (2692127)------------------------------
% 14.73/2.60 % (2692127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/2.60 % (2692127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/2.60 % (2692127)CaDiCaL version: 2.1.3
% 14.73/2.60 % (2692127)Termination reason: Instruction limit
% 14.73/2.60 % (2692127)Termination phase: Saturation
% 14.73/2.60 % (2692127)Time elapsed: 0.091 s
% 14.73/2.60 % (2692127)Peak memory usage: 90 MB
% 14.73/2.60 % (2692127)Instructions burned: 140 (million)
% 14.73/2.60 % (2692136)lrs+10_1_sil=8000:sp=occurrence:random_seed=182551837:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 14.73/2.60 % (2692137)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3908740272:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.73/2.60 % (2692136)Instruction limit reached!
% 14.73/2.60 % (2692136)------------------------------
% 14.73/2.60 % (2692136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/2.60 % (2692136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/2.60 % (2692136)CaDiCaL version: 2.1.3
% 14.73/2.60 % (2692136)Termination reason: Instruction limit
% 14.73/2.60 % (2692136)Termination phase: Saturation
% 20.32/3.32 % (2692136)Time elapsed: 0.106 s
% 20.32/3.32 % (2692136)Peak memory usage: 93 MB
% 20.32/3.32 % (2692136)Instructions burned: 285 (million)
% 20.32/3.32 % (2692125)------------------------------
% 20.32/3.32 % (2692125)------------------------------
% 20.32/3.32 % (2692138)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2000511890:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 20.32/3.32 % (2692137)Instruction limit reached!
% 20.32/3.32 % (2692137)------------------------------
% 20.32/3.32 % (2692137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.32 % (2692137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.32 % (2692137)CaDiCaL version: 2.1.3
% 20.32/3.32 % (2692137)Termination reason: Instruction limit
% 20.32/3.32 % (2692137)Termination phase: Saturation
% 20.32/3.32 % (2692137)Time elapsed: 0.080 s
% 20.32/3.32 % (2692137)Peak memory usage: 92 MB
% 20.32/3.32 % (2692137)Instructions burned: 159 (million)
% 20.32/3.32 % (2692141)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2036662809:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.32/3.32 % (2692141)Instruction limit reached!
% 20.32/3.32 % (2692141)------------------------------
% 20.32/3.32 % (2692141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.32 % (2692141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.32 % (2692141)CaDiCaL version: 2.1.3
% 20.32/3.32 % (2692141)Termination reason: Instruction limit
% 20.32/3.32 % (2692141)Termination phase: Saturation
% 20.32/3.32 % (2692141)Time elapsed: 0.070 s
% 20.32/3.32 % (2692141)Peak memory usage: 94 MB
% 20.32/3.32 % (2692141)Instructions burned: 250 (million)
% 20.32/3.32 % (2692143)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3964324784:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 20.32/3.32 % (2692138)Instruction limit reached!
% 20.32/3.32 % (2692138)------------------------------
% 20.32/3.32 % (2692138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.32 % (2692138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.32 % (2692138)CaDiCaL version: 2.1.3
% 20.32/3.32 % (2692138)Termination reason: Instruction limit
% 20.32/3.32 % (2692138)Termination phase: Saturation
% 20.32/3.32 % (2692138)Time elapsed: 0.218 s
% 20.32/3.32 % (2692138)Peak memory usage: 93 MB
% 20.32/3.32 % (2692138)Instructions burned: 325 (million)
% 20.32/3.32 % (2692144)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3813041900:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 20.32/3.32 % (2692147)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3276212361:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 20.32/3.32 % (2692147)Instruction limit reached!
% 20.32/3.32 % (2692147)------------------------------
% 20.32/3.32 % (2692147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.32 % (2692147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.32 % (2692147)CaDiCaL version: 2.1.3
% 20.32/3.32 % (2692147)Termination reason: Instruction limit
% 20.32/3.32 % (2692147)Termination phase: Saturation
% 20.32/3.32 % (2692147)Time elapsed: 0.040 s
% 20.32/3.32 % (2692147)Peak memory usage: 91 MB
% 20.32/3.32 % (2692147)Instructions burned: 115 (million)
% 20.32/3.32 % (2692143)Instruction limit reached!
% 20.32/3.32 % (2692143)------------------------------
% 20.32/3.32 % (2692143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.32/3.32 % (2692143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.32/3.32 % (2692143)CaDiCaL version: 2.1.3
% 20.32/3.32 % (2692143)Termination reason: Instruction limit
% 20.32/3.32 % (2692143)Termination phase: Saturation
% 20.32/3.32 % (2692143)Time elapsed: 0.173 s
% 20.32/3.32 % (2692143)Peak memory usage: 90 MB
% 20.32/3.32 % (2692143)Instructions burned: 295 (million)
% 20.32/3.32 % (2692148)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=12928012:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 20.32/3.32 % (2692151)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=814262091:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 20.32/3.32 % (2692148)Instruction limit reached!
% 20.32/3.32 % (2692148)------------------------------
% 20.32/3.32 % (2692148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692148)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692148)Termination reason: Instruction limit
% 21.51/3.55 % (2692148)Termination phase: Saturation
% 21.51/3.55 % (2692148)Time elapsed: 0.071 s
% 21.51/3.55 % (2692148)Peak memory usage: 90 MB
% 21.51/3.55 % (2692148)Instructions burned: 133 (million)
% 21.51/3.55 % (2692151)Instruction limit reached!
% 21.51/3.55 % (2692151)------------------------------
% 21.51/3.55 % (2692151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692151)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692151)Termination reason: Instruction limit
% 21.51/3.55 % (2692151)Termination phase: Saturation
% 21.51/3.55 % (2692151)Time elapsed: 0.032 s
% 21.51/3.55 % (2692151)Peak memory usage: 89 MB
% 21.51/3.55 % (2692151)Instructions burned: 116 (million)
% 21.51/3.55 % (2692152)lrs+10_1_sil=8000:sp=occurrence:random_seed=2403530382:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 21.51/3.55 % (2692156)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1757941843:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 21.51/3.55 % (2692155)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2385609855:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 21.51/3.55 % (2692155)Instruction limit reached!
% 21.51/3.55 % (2692155)------------------------------
% 21.51/3.55 % (2692155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692155)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692155)Termination reason: Instruction limit
% 21.51/3.55 % (2692155)Termination phase: Saturation
% 21.51/3.55 % (2692155)Time elapsed: 0.263 s
% 21.51/3.55 % (2692155)Peak memory usage: 92 MB
% 21.51/3.55 % (2692155)Instructions burned: 438 (million)
% 21.51/3.55 % (2692160)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1835723286:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 21.51/3.55 % (2692152)Instruction limit reached!
% 21.51/3.55 % (2692152)------------------------------
% 21.51/3.55 % (2692152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692152)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692152)Termination reason: Instruction limit
% 21.51/3.55 % (2692152)Termination phase: Saturation
% 21.51/3.55 % (2692152)Time elapsed: 0.589 s
% 21.51/3.55 % (2692152)Peak memory usage: 100 MB
% 21.51/3.55 % (2692152)Instructions burned: 907 (million)
% 21.51/3.55 % (2692160)Instruction limit reached!
% 21.51/3.55 % (2692160)------------------------------
% 21.51/3.55 % (2692160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692160)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692160)Termination reason: Instruction limit
% 21.51/3.55 % (2692160)Termination phase: Saturation
% 21.51/3.55 % (2692160)Time elapsed: 0.079 s
% 21.51/3.55 % (2692160)Peak memory usage: 91 MB
% 21.51/3.55 % (2692160)Instructions burned: 135 (million)
% 21.51/3.55 % (2692162)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3218645149:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 21.51/3.55 % (2692163)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3100249416:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 21.51/3.55 % (2692162)Instruction limit reached!
% 21.51/3.55 % (2692162)------------------------------
% 21.51/3.55 % (2692162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692162)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692162)Termination reason: Instruction limit
% 21.51/3.55 % (2692162)Termination phase: Saturation
% 21.51/3.55 % (2692162)Time elapsed: 0.347 s
% 21.51/3.55 % (2692162)Peak memory usage: 101 MB
% 21.51/3.55 % (2692162)Instructions burned: 592 (million)
% 21.51/3.55 % (2692144)Instruction limit reached!
% 21.51/3.55 % (2692144)------------------------------
% 21.51/3.55 % (2692144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692144)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692144)Termination reason: Instruction limit
% 21.51/3.55 % (2692144)Termination phase: Saturation
% 21.51/3.55 % (2692144)Time elapsed: 1.517 s
% 21.51/3.55 % (2692144)Peak memory usage: 145 MB
% 21.51/3.55 % (2692144)Instructions burned: 2352 (million)
% 21.51/3.55 % (2692166)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2541516926:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 21.51/3.55 % (2692166)Instruction limit reached!
% 21.51/3.55 % (2692166)------------------------------
% 21.51/3.55 % (2692166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692166)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692166)Termination reason: Instruction limit
% 21.51/3.55 % (2692166)Termination phase: Saturation
% 21.51/3.55 % (2692166)Time elapsed: 0.077 s
% 21.51/3.55 % (2692166)Peak memory usage: 91 MB
% 21.51/3.55 % (2692166)Instructions burned: 127 (million)
% 21.51/3.55 % (2692167)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=531082387:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 21.51/3.55 % (2692167)Instruction limit reached!
% 21.51/3.55 % (2692167)------------------------------
% 21.51/3.55 % (2692167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692167)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692167)Termination reason: Instruction limit
% 21.51/3.55 % (2692167)Termination phase: Saturation
% 21.51/3.55 % (2692167)Time elapsed: 0.081 s
% 21.51/3.55 % (2692167)Peak memory usage: 91 MB
% 21.51/3.55 % (2692167)Instructions burned: 134 (million)
% 21.51/3.55 % (2692169)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=609274398:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 21.51/3.55 % (2692169)Instruction limit reached!
% 21.51/3.55 % (2692169)------------------------------
% 21.51/3.55 % (2692169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692169)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692169)Termination reason: Instruction limit
% 21.51/3.55 % (2692169)Termination phase: Saturation
% 21.51/3.55 % (2692169)Time elapsed: 0.073 s
% 21.51/3.55 % (2692169)Peak memory usage: 91 MB
% 21.51/3.55 % (2692169)Instructions burned: 142 (million)
% 21.51/3.55 % (2692172)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1592706366:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 21.51/3.55 % (2692173)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=962398375:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 21.51/3.55 % (2692156)Instruction limit reached!
% 21.51/3.55 % (2692156)------------------------------
% 21.51/3.55 % (2692156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692156)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692156)Termination reason: Instruction limit
% 21.51/3.55 % (2692156)Termination phase: Saturation
% 21.51/3.55 % (2692156)Time elapsed: 1.737 s
% 21.51/3.55 % (2692156)Peak memory usage: 162 MB
% 21.51/3.55 % (2692156)Instructions burned: 5204 (million)
% 21.51/3.55 % (2692172)Instruction limit reached!
% 21.51/3.55 % (2692172)------------------------------
% 21.51/3.55 % (2692172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692172)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692172)Termination reason: Instruction limit
% 21.51/3.55 % (2692172)Termination phase: Saturation
% 21.51/3.55 % (2692172)Time elapsed: 0.249 s
% 21.51/3.55 % (2692172)Peak memory usage: 94 MB
% 21.51/3.55 % (2692172)Instructions burned: 433 (million)
% 21.51/3.55 % (2692122)First to succeed.
% 21.51/3.55 % (2692122)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2692117"
% 21.51/3.55 % (2692176)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2178171499:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 21.51/3.55 % (2692176)Instruction limit reached!
% 21.51/3.55 % (2692176)------------------------------
% 21.51/3.55 % (2692176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.51/3.55 % (2692176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55 % (2692176)CaDiCaL version: 2.1.3
% 21.51/3.55 % (2692176)Termination reason: Instruction limit
% 21.51/3.55 % (2692176)Termination phase: Saturation
% 21.51/3.55 % (2692176)Time elapsed: 0.049 s
% 21.51/3.55 % (2692176)Peak memory usage: 92 MB
% 21.51/3.55 % (2692176)Instructions burned: 151 (million)
% 21.51/3.55 % (2692177)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2173362821:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 21.51/3.55 % (2692179)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1206006927:i=667:av=off:fsr=off_2970 on theBenchmark for (2970ds/667Mi)
% 21.51/3.55 % (2692122)Refutation found. Thanks to Tanya!
% 21.51/3.55 % SZS status Theorem for theBenchmark
% 21.51/3.55 % SZS output start Proof for theBenchmark
% See solution above
% 22.27/3.64 % (2692122)------------------------------
% 22.27/3.64 % (2692122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.27/3.64 % (2692122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/3.64 % (2692122)CaDiCaL version: 2.1.3
% 22.27/3.64 % (2692122)Termination reason: Refutation
% 22.27/3.64 % (2692122)Time elapsed: 2.672 s
% 22.27/3.64 % (2692122)Peak memory usage: 160 MB
% 22.27/3.64 % (2692122)Instructions burned: 4069 (million)
% 22.27/3.64 % (2692122)------------------------------
% 22.27/3.64 % (2692122)------------------------------
% 22.27/3.64 % (2692117)Success in time 3.113 s
% 22.27/3.64 % Vampire exiting
%------------------------------------------------------------------------------