%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX051+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 : n001.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 01:45:46 PM UTC 2026
% Result : Theorem 8.60s 2.06s
% Output : Refutation 10.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 33
% Syntax : Number of formulae : 229 ( 30 unt; 20 def)
% Number of atoms : 840 ( 243 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1063 ( 452 ~; 508 |; 60 &)
% ( 22 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 21 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 266 ( 0 sgn 226 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : '0' != s(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id2) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( cons(X0,X1) = cons(X2,X3)
=> X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id8) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( cons(X0,X1) = cons(X2,X3)
=> X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id9) ).
fof(f61,axiom,
! [X0,X1,X2] :
( delete_succeeds(X0,X1,X2)
<=> ( ? [X3,X4,X5] :
( X1 = cons(X3,X4)
& X2 = cons(X3,X5)
& delete_succeeds(X0,X4,X5) )
| X1 = cons(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id61) ).
fof(f73,axiom,
! [X0] :
( list_succeeds(X0)
<=> ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2) )
| X0 = nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id73) ).
fof(f216,axiom,
lh(nil) = '0',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(lh:nil)') ).
fof(f256,axiom,
! [X0,X1,X2] :
( ( delete_succeeds(X0,X1,X2)
& list_succeeds(X1) )
=> list_succeeds(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(delete:types:1)') ).
fof(f258,axiom,
! [X0,X1,X2] :
( ( delete_succeeds(X0,X1,X2)
& list_succeeds(X1) )
=> lh(X1) = s(lh(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(delete:length)') ).
fof(f287,axiom,
! [X0,X1,X2] :
( ( list_succeeds(X2)
& X0 != X1 )
=> occ(X0,cons(X1,X2)) = occ(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(occ:cons:diff)') ).
fof(f288,axiom,
! [X0,X1] :
( list_succeeds(X1)
=> occ(X0,cons(X0,X1)) = s(occ(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(occ:cons:eq)') ).
fof(f291,axiom,
! [X0,X1,X2,X3] :
( ( list_succeeds(X2)
& delete_succeeds(X0,X2,X3)
& X0 != X1 )
=> occ(X1,X2) = occ(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(delete:occ:diff)') ).
fof(f292,axiom,
( ! [X0] :
( ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3,X4] :
( delete_succeeds(X3,X2,X4)
=> occ(X3,X2) = s(occ(X3,X4)) ) )
| X0 = nil )
=> ! [X3,X4] :
( delete_succeeds(X3,X0,X4)
=> occ(X3,X0) = s(occ(X3,X4)) ) )
=> ! [X0] :
( list_succeeds(X0)
=> ! [X3,X4] :
( delete_succeeds(X3,X0,X4)
=> occ(X3,X0) = s(occ(X3,X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction) ).
fof(f293,conjecture,
! [X0,X1,X2] :
( ( list_succeeds(X1)
& delete_succeeds(X0,X1,X2) )
=> occ(X0,X1) = s(occ(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(delete:occ:eq)') ).
fof(f294,negated_conjecture,
~ ! [X0,X1,X2] :
( ( list_succeeds(X1)
& delete_succeeds(X0,X1,X2) )
=> occ(X0,X1) = s(occ(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f293]) ).
fof(f319,plain,
( ! [X0] :
( ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3,X4] :
( delete_succeeds(X3,X2,X4)
=> occ(X3,X2) = s(occ(X3,X4)) ) )
| X0 = nil )
=> ! [X5,X6] :
( delete_succeeds(X5,X0,X6)
=> s(occ(X5,X6)) = occ(X5,X0) ) )
=> ! [X7] :
( list_succeeds(X7)
=> ! [X8,X9] :
( delete_succeeds(X8,X7,X9)
=> s(occ(X8,X9)) = occ(X8,X7) ) ) ),
inference(rectify,[],[f292]) ).
fof(f321,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f322,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f615,plain,
! [X0,X1,X2] :
( list_succeeds(X2)
| ~ delete_succeeds(X0,X1,X2)
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f256]) ).
fof(f616,plain,
! [X0,X1,X2] :
( list_succeeds(X2)
| ~ delete_succeeds(X0,X1,X2)
| ~ list_succeeds(X1) ),
inference(flattening,[],[f615]) ).
fof(f619,plain,
! [X0,X1,X2] :
( lh(X1) = s(lh(X2))
| ~ delete_succeeds(X0,X1,X2)
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f258]) ).
fof(f620,plain,
! [X0,X1,X2] :
( lh(X1) = s(lh(X2))
| ~ delete_succeeds(X0,X1,X2)
| ~ list_succeeds(X1) ),
inference(flattening,[],[f619]) ).
fof(f661,plain,
! [X0,X1,X2] :
( occ(X0,cons(X1,X2)) = occ(X0,X2)
| ~ list_succeeds(X2)
| X0 = X1 ),
inference(ennf_transformation,[],[f287]) ).
fof(f662,plain,
! [X0,X1,X2] :
( occ(X0,cons(X1,X2)) = occ(X0,X2)
| ~ list_succeeds(X2)
| X0 = X1 ),
inference(flattening,[],[f661]) ).
fof(f663,plain,
! [X0,X1] :
( occ(X0,cons(X0,X1)) = s(occ(X0,X1))
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f288]) ).
fof(f667,plain,
! [X0,X1,X2,X3] :
( occ(X1,X2) = occ(X1,X3)
| ~ list_succeeds(X2)
| ~ delete_succeeds(X0,X2,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f291]) ).
fof(f668,plain,
! [X0,X1,X2,X3] :
( occ(X1,X2) = occ(X1,X3)
| ~ list_succeeds(X2)
| ~ delete_succeeds(X0,X2,X3)
| X0 = X1 ),
inference(flattening,[],[f667]) ).
fof(f669,plain,
( ! [X7] :
( ! [X8,X9] :
( s(occ(X8,X9)) = occ(X8,X7)
| ~ delete_succeeds(X8,X7,X9) )
| ~ list_succeeds(X7) )
| ? [X0] :
( ? [X5,X6] :
( s(occ(X5,X6)) != occ(X5,X0)
& delete_succeeds(X5,X0,X6) )
& ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3,X4] :
( occ(X3,X2) = s(occ(X3,X4))
| ~ delete_succeeds(X3,X2,X4) ) )
| X0 = nil ) ) ),
inference(ennf_transformation,[],[f319]) ).
fof(f670,plain,
? [X0,X1,X2] :
( occ(X0,X1) != s(occ(X0,X2))
& list_succeeds(X1)
& delete_succeeds(X0,X1,X2) ),
inference(ennf_transformation,[],[f294]) ).
fof(f671,plain,
? [X0,X1,X2] :
( occ(X0,X1) != s(occ(X0,X2))
& list_succeeds(X1)
& delete_succeeds(X0,X1,X2) ),
inference(flattening,[],[f670]) ).
fof(f727,plain,
! [X0,X1,X2] :
( ( delete_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X1
| cons(X3,X5) != X2
| ~ delete_succeeds(X0,X4,X5) )
& cons(X0,X2) != X1 ) )
& ( ? [X3,X4,X5] :
( X1 = cons(X3,X4)
& X2 = cons(X3,X5)
& delete_succeeds(X0,X4,X5) )
| X1 = cons(X0,X2)
| ~ delete_succeeds(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f728,plain,
! [X0,X1,X2] :
( ( delete_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X1
| cons(X3,X5) != X2
| ~ delete_succeeds(X0,X4,X5) )
& cons(X0,X2) != X1 ) )
& ( ? [X3,X4,X5] :
( X1 = cons(X3,X4)
& X2 = cons(X3,X5)
& delete_succeeds(X0,X4,X5) )
| X1 = cons(X0,X2)
| ~ delete_succeeds(X0,X1,X2) ) ),
inference(flattening,[],[f727]) ).
fof(f729,plain,
! [X0,X1,X2] :
( ( delete_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X1
| cons(X3,X5) != X2
| ~ delete_succeeds(X0,X4,X5) )
& cons(X0,X2) != X1 ) )
& ( ? [X6,X7,X8] :
( cons(X6,X7) = X1
& cons(X6,X8) = X2
& delete_succeeds(X0,X7,X8) )
| X1 = cons(X0,X2)
| ~ delete_succeeds(X0,X1,X2) ) ),
inference(rectify,[],[f728]) ).
fof(f730,plain,
! [X0,X1,X2] :
( ( delete_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X1
| cons(X3,X5) != X2
| ~ delete_succeeds(X0,X4,X5) )
& cons(X0,X2) != X1 ) )
& ( ( cons(sK32(X0,X1,X2),sK33(X0,X1,X2)) = X1
& cons(sK32(X0,X1,X2),sK34(X0,X1,X2)) = X2
& delete_succeeds(X0,sK33(X0,X1,X2),sK34(X0,X1,X2)) )
| X1 = cons(X0,X2)
| ~ delete_succeeds(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33,sK34]),skolemize(X6,sK32(X0,X1,X2)),skolemize(X7,sK33(X0,X1,X2)),skolemize(X8,sK34(X0,X1,X2))],[f729]) ).
fof(f771,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,[],[f73]) ).
fof(f772,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,[],[f771]) ).
fof(f773,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,[],[f772]) ).
fof(f774,plain,
! [X0] :
( ( list_succeeds(X0)
| ( ! [X1,X2] :
( cons(X1,X2) != X0
| ~ list_succeeds(X2) )
& nil != X0 ) )
& ( ( cons(sK67(X0),sK68(X0)) = X0
& list_succeeds(sK68(X0)) )
| X0 = nil
| ~ list_succeeds(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67,sK68]),skolemize(X3,sK67(X0)),skolemize(X4,sK68(X0))],[f773]) ).
fof(f871,plain,
( ! [X0] :
( ! [X1,X2] :
( s(occ(X1,X2)) = occ(X1,X0)
| ~ delete_succeeds(X1,X0,X2) )
| ~ list_succeeds(X0) )
| ? [X3] :
( ? [X4,X5] :
( s(occ(X4,X5)) != occ(X4,X3)
& delete_succeeds(X4,X3,X5) )
& ( ? [X6,X7] :
( cons(X6,X7) = X3
& list_succeeds(X7)
& ! [X8,X9] :
( s(occ(X8,X9)) = occ(X8,X7)
| ~ delete_succeeds(X8,X7,X9) ) )
| nil = X3 ) ) ),
inference(rectify,[],[f669]) ).
fof(f872,plain,
( ! [X0] :
( ! [X1,X2] :
( s(occ(X1,X2)) = occ(X1,X0)
| ~ delete_succeeds(X1,X0,X2) )
| ~ list_succeeds(X0) )
| ( s(occ(sK127,sK128)) != occ(sK127,sK126)
& delete_succeeds(sK127,sK126,sK128)
& ( ( sK126 = cons(sK129,sK130)
& list_succeeds(sK130)
& ! [X8,X9] :
( s(occ(X8,X9)) = occ(X8,sK130)
| ~ delete_succeeds(X8,sK130,X9) ) )
| nil = sK126 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK126,sK127,sK128,sK129,sK130]),skolemize(X3,sK126),skolemize(X4,sK127),skolemize(X5,sK128),skolemize(X6,sK129),skolemize(X7,sK130)],[f871]) ).
fof(f873,plain,
( occ(sK131,sK132) != s(occ(sK131,sK133))
& list_succeeds(sK132)
& delete_succeeds(sK131,sK132,sK133) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK131,sK132,sK133]),skolemize(X0,sK131),skolemize(X1,sK132),skolemize(X2,sK133)],[f671]) ).
fof(f875,plain,
! [X0] : '0' != s(X0),
inference(cnf_transformation,[],[f2]) ).
fof(f881,plain,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f321]) ).
fof(f882,plain,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f322]) ).
fof(f1018,plain,
! [X2,X0,X1] :
( ~ delete_succeeds(X0,X1,X2)
| cons(X0,X2) = X1
| delete_succeeds(X0,sK33(X0,X1,X2),sK34(X0,X1,X2)) ),
inference(cnf_transformation,[],[f730]) ).
fof(f1019,plain,
! [X2,X0,X1] :
( ~ delete_succeeds(X0,X1,X2)
| cons(X0,X2) = X1
| cons(sK32(X0,X1,X2),sK34(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f730]) ).
fof(f1020,plain,
! [X2,X0,X1] :
( ~ delete_succeeds(X0,X1,X2)
| cons(X0,X2) = X1
| cons(sK32(X0,X1,X2),sK33(X0,X1,X2)) = X1 ),
inference(cnf_transformation,[],[f730]) ).
fof(f1085,plain,
! [X0] :
( list_succeeds(X0)
| nil != X0 ),
inference(cnf_transformation,[],[f774]) ).
fof(f1321,plain,
'0' = lh(nil),
inference(cnf_transformation,[],[f216]) ).
fof(f1361,plain,
! [X2,X0,X1] :
( ~ list_succeeds(X1)
| ~ delete_succeeds(X0,X1,X2)
| list_succeeds(X2) ),
inference(cnf_transformation,[],[f616]) ).
fof(f1363,plain,
! [X2,X0,X1] :
( ~ list_succeeds(X1)
| ~ delete_succeeds(X0,X1,X2)
| lh(X1) = s(lh(X2)) ),
inference(cnf_transformation,[],[f620]) ).
fof(f1405,plain,
! [X2,X0,X1] :
( ~ list_succeeds(X2)
| occ(X0,cons(X1,X2)) = occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f662]) ).
fof(f1406,plain,
! [X0,X1] :
( ~ list_succeeds(X1)
| occ(X0,cons(X0,X1)) = s(occ(X0,X1)) ),
inference(cnf_transformation,[],[f663]) ).
fof(f1409,plain,
! [X2,X3,X0,X1] :
( ~ list_succeeds(X2)
| occ(X1,X2) = occ(X1,X3)
| ~ delete_succeeds(X0,X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f668]) ).
fof(f1410,plain,
! [X2,X0,X1,X8,X9] :
( s(occ(X1,X2)) = occ(X1,X0)
| ~ delete_succeeds(X1,X0,X2)
| ~ list_succeeds(X0)
| s(occ(X8,X9)) = occ(X8,sK130)
| ~ delete_succeeds(X8,sK130,X9)
| nil = sK126 ),
inference(cnf_transformation,[],[f872]) ).
fof(f1411,plain,
! [X2,X0,X1] :
( s(occ(X1,X2)) = occ(X1,X0)
| ~ delete_succeeds(X1,X0,X2)
| ~ list_succeeds(X0)
| list_succeeds(sK130)
| nil = sK126 ),
inference(cnf_transformation,[],[f872]) ).
fof(f1412,plain,
! [X2,X0,X1] :
( s(occ(X1,X2)) = occ(X1,X0)
| ~ delete_succeeds(X1,X0,X2)
| ~ list_succeeds(X0)
| sK126 = cons(sK129,sK130)
| nil = sK126 ),
inference(cnf_transformation,[],[f872]) ).
fof(f1413,plain,
! [X2,X0,X1] :
( s(occ(X1,X2)) = occ(X1,X0)
| ~ delete_succeeds(X1,X0,X2)
| ~ list_succeeds(X0)
| delete_succeeds(sK127,sK126,sK128) ),
inference(cnf_transformation,[],[f872]) ).
fof(f1414,plain,
! [X2,X0,X1] :
( s(occ(X1,X2)) = occ(X1,X0)
| ~ delete_succeeds(X1,X0,X2)
| ~ list_succeeds(X0)
| s(occ(sK127,sK128)) != occ(sK127,sK126) ),
inference(cnf_transformation,[],[f872]) ).
fof(f1415,plain,
delete_succeeds(sK131,sK132,sK133),
inference(cnf_transformation,[],[f873]) ).
fof(f1416,plain,
list_succeeds(sK132),
inference(cnf_transformation,[],[f873]) ).
fof(f1417,plain,
occ(sK131,sK132) != s(occ(sK131,sK133)),
inference(cnf_transformation,[],[f873]) ).
fof(f1475,plain,
list_succeeds(nil),
inference(equality_resolution,[],[f1085]) ).
fof(f1534,definition,
( spl134_1
<=> nil = sK126 ),
introduced(definition,[new_symbols(definition,[spl134_1])],[avatar_definition]) ).
fof(f1535,plain,
( nil = sK126
| ~ spl134_1 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f1537,definition,
( spl134_2
<=> ! [X9,X8] :
( s(occ(X8,X9)) = occ(X8,sK130)
| ~ delete_succeeds(X8,sK130,X9) ) ),
introduced(definition,[new_symbols(definition,[spl134_2])],[avatar_definition]) ).
fof(f1538,plain,
( ! [X8,X9] :
( ~ delete_succeeds(X8,sK130,X9)
| s(occ(X8,X9)) = occ(X8,sK130) )
| ~ spl134_2 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f1540,definition,
( spl134_3
<=> ! [X2,X0,X1] :
( s(occ(X1,X2)) = occ(X1,X0)
| ~ list_succeeds(X0)
| ~ delete_succeeds(X1,X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl134_3])],[avatar_definition]) ).
fof(f1541,plain,
( ! [X2,X0,X1] :
( ~ list_succeeds(X0)
| s(occ(X1,X2)) = occ(X1,X0)
| ~ delete_succeeds(X1,X0,X2) )
| ~ spl134_3 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1542,plain,
( spl134_1
| spl134_2
| spl134_3 ),
inference(avatar_split_clause,[],[f1410,f1540,f1537,f1534]) ).
fof(f1544,definition,
( spl134_4
<=> list_succeeds(sK130) ),
introduced(definition,[new_symbols(definition,[spl134_4])],[avatar_definition]) ).
fof(f1545,plain,
( list_succeeds(sK130)
| ~ spl134_4 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1546,plain,
( spl134_1
| spl134_4
| spl134_3 ),
inference(avatar_split_clause,[],[f1411,f1540,f1544,f1534]) ).
fof(f1548,definition,
( spl134_5
<=> sK126 = cons(sK129,sK130) ),
introduced(definition,[new_symbols(definition,[spl134_5])],[avatar_definition]) ).
fof(f1549,plain,
( sK126 = cons(sK129,sK130)
| ~ spl134_5 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f1550,plain,
( spl134_1
| spl134_5
| spl134_3 ),
inference(avatar_split_clause,[],[f1412,f1540,f1548,f1534]) ).
fof(f1552,definition,
( spl134_6
<=> delete_succeeds(sK127,sK126,sK128) ),
introduced(definition,[new_symbols(definition,[spl134_6])],[avatar_definition]) ).
fof(f1553,plain,
( delete_succeeds(sK127,sK126,sK128)
| ~ spl134_6 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1554,plain,
( spl134_6
| spl134_3 ),
inference(avatar_split_clause,[],[f1413,f1540,f1552]) ).
fof(f1556,definition,
( spl134_7
<=> s(occ(sK127,sK128)) = occ(sK127,sK126) ),
introduced(definition,[new_symbols(definition,[spl134_7])],[avatar_definition]) ).
fof(f1557,plain,
( s(occ(sK127,sK128)) != occ(sK127,sK126)
| spl134_7 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f1558,plain,
( ~ spl134_7
| spl134_3 ),
inference(avatar_split_clause,[],[f1414,f1540,f1556]) ).
fof(f1560,plain,
( $false
| ~ spl134_3 ),
inference(unit_resulting_resolution,[],[f1541,f1415,f1417,f1416]) ).
fof(f1563,plain,
~ spl134_3,
inference(avatar_contradiction_clause,[],[f1560]) ).
fof(f1585,plain,
( sK126 = cons(sK127,sK128)
| sK128 = cons(sK32(sK127,sK126,sK128),sK34(sK127,sK126,sK128))
| ~ spl134_6 ),
inference(resolution,[],[f1019,f1553]) ).
fof(f1588,definition,
( spl134_8
<=> sK128 = cons(sK32(sK127,sK126,sK128),sK34(sK127,sK126,sK128)) ),
introduced(definition,[new_symbols(definition,[spl134_8])],[avatar_definition]) ).
fof(f1589,plain,
( sK128 = cons(sK32(sK127,sK126,sK128),sK34(sK127,sK126,sK128))
| ~ spl134_8 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f1591,definition,
( spl134_9
<=> sK126 = cons(sK127,sK128) ),
introduced(definition,[new_symbols(definition,[spl134_9])],[avatar_definition]) ).
fof(f1592,plain,
( sK126 = cons(sK127,sK128)
| ~ spl134_9 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1593,plain,
( spl134_8
| spl134_9
| ~ spl134_6 ),
inference(avatar_split_clause,[],[f1585,f1552,f1591,f1588]) ).
fof(f1608,plain,
( sK126 = cons(sK127,sK128)
| sK126 = cons(sK32(sK127,sK126,sK128),sK33(sK127,sK126,sK128))
| ~ spl134_6 ),
inference(resolution,[],[f1020,f1553]) ).
fof(f1611,definition,
( spl134_12
<=> sK126 = cons(sK32(sK127,sK126,sK128),sK33(sK127,sK126,sK128)) ),
introduced(definition,[new_symbols(definition,[spl134_12])],[avatar_definition]) ).
fof(f1612,plain,
( sK126 = cons(sK32(sK127,sK126,sK128),sK33(sK127,sK126,sK128))
| ~ spl134_12 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1613,plain,
( spl134_12
| spl134_9
| ~ spl134_6 ),
inference(avatar_split_clause,[],[f1608,f1552,f1591,f1611]) ).
fof(f1658,definition,
( spl134_17
<=> sK127 = sK32(sK127,sK126,sK128) ),
introduced(definition,[new_symbols(definition,[spl134_17])],[avatar_definition]) ).
fof(f1659,plain,
( sK127 = sK32(sK127,sK126,sK128)
| ~ spl134_17 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f1698,plain,
( sK126 = cons(sK127,sK128)
| delete_succeeds(sK127,sK33(sK127,sK126,sK128),sK34(sK127,sK126,sK128))
| ~ spl134_6 ),
inference(resolution,[],[f1018,f1553]) ).
fof(f1783,definition,
( spl134_37
<=> list_succeeds(sK34(sK127,sK126,sK128)) ),
introduced(definition,[new_symbols(definition,[spl134_37])],[avatar_definition]) ).
fof(f1784,plain,
( list_succeeds(sK34(sK127,sK126,sK128))
| ~ spl134_37 ),
inference(avatar_component_clause,[],[f1783]) ).
fof(f1851,plain,
! [X0,X1] :
( ~ delete_succeeds(X0,nil,X1)
| lh(nil) = s(lh(X1)) ),
inference(resolution,[],[f1475,f1363]) ).
fof(f1869,plain,
( ! [X0,X1] :
( ~ delete_succeeds(X0,sK126,X1)
| lh(nil) = s(lh(X1)) )
| ~ spl134_1 ),
inference(forward_demodulation,[],[f1851,f1535]) ).
fof(f1879,plain,
( ! [X0,X1] :
( '0' = s(lh(X1))
| ~ delete_succeeds(X0,sK126,X1) )
| ~ spl134_1 ),
inference(forward_demodulation,[],[f1869,f1321]) ).
fof(f1881,plain,
( ! [X0,X1] : ~ delete_succeeds(X0,sK126,X1)
| ~ spl134_1 ),
inference(forward_subsumption_resolution,[],[f1879,f875]) ).
fof(f1883,definition,
( spl134_38
<=> delete_succeeds(sK127,sK33(sK127,sK126,sK128),sK34(sK127,sK126,sK128)) ),
introduced(definition,[new_symbols(definition,[spl134_38])],[avatar_definition]) ).
fof(f1884,plain,
( delete_succeeds(sK127,sK33(sK127,sK126,sK128),sK34(sK127,sK126,sK128))
| ~ spl134_38 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1885,plain,
( spl134_38
| spl134_9
| ~ spl134_6 ),
inference(avatar_split_clause,[],[f1698,f1552,f1591,f1883]) ).
fof(f1945,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK126
| sK33(sK127,sK126,sK128) = X1 )
| ~ spl134_12 ),
inference(superposition,[],[f881,f1612]) ).
fof(f1947,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK126
| sK32(sK127,sK126,sK128) = X0 )
| ~ spl134_12 ),
inference(superposition,[],[f882,f1612]) ).
fof(f1989,plain,
( ! [X0,X1] :
( occ(X0,sK34(sK127,sK126,sK128)) = occ(X0,cons(X1,sK34(sK127,sK126,sK128)))
| X0 = X1 )
| ~ spl134_37 ),
inference(resolution,[],[f1784,f1405]) ).
fof(f1990,plain,
( ! [X0] : occ(X0,cons(X0,sK34(sK127,sK126,sK128))) = s(occ(X0,sK34(sK127,sK126,sK128)))
| ~ spl134_37 ),
inference(resolution,[],[f1784,f1406]) ).
fof(f1997,plain,
( s(occ(sK32(sK127,sK126,sK128),sK34(sK127,sK126,sK128))) = occ(sK32(sK127,sK126,sK128),sK128)
| ~ spl134_8
| ~ spl134_37 ),
inference(superposition,[],[f1990,f1589]) ).
fof(f1999,plain,
( $false
| ~ spl134_1
| ~ spl134_6 ),
inference(unit_resulting_resolution,[],[f1881,f1553]) ).
fof(f2002,plain,
( ~ spl134_1
| ~ spl134_6 ),
inference(avatar_contradiction_clause,[],[f1999]) ).
fof(f2013,plain,
( ! [X0,X1] :
( ~ delete_succeeds(X0,sK130,X1)
| list_succeeds(X1) )
| ~ spl134_4 ),
inference(resolution,[],[f1545,f1361]) ).
fof(f2016,plain,
( ! [X0,X1] :
( occ(X0,cons(X1,sK130)) = occ(X0,sK130)
| X0 = X1 )
| ~ spl134_4 ),
inference(resolution,[],[f1545,f1405]) ).
fof(f2017,plain,
( ! [X0] : occ(X0,cons(X0,sK130)) = s(occ(X0,sK130))
| ~ spl134_4 ),
inference(resolution,[],[f1545,f1406]) ).
fof(f2020,plain,
( ! [X2,X0,X1] :
( ~ delete_succeeds(X2,sK130,X1)
| occ(X0,X1) = occ(X0,sK130)
| X0 = X2 )
| ~ spl134_4 ),
inference(resolution,[],[f1545,f1409]) ).
fof(f2023,plain,
( s(occ(sK129,sK130)) = occ(sK129,sK126)
| ~ spl134_4
| ~ spl134_5 ),
inference(superposition,[],[f2017,f1549]) ).
fof(f2026,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK126
| sK130 = X1 )
| ~ spl134_5 ),
inference(superposition,[],[f881,f1549]) ).
fof(f2110,plain,
( sK126 != sK126
| sK130 = sK33(sK127,sK126,sK128)
| ~ spl134_5
| ~ spl134_12 ),
inference(superposition,[],[f1945,f1549]) ).
fof(f2112,plain,
( sK130 = sK33(sK127,sK126,sK128)
| ~ spl134_5
| ~ spl134_12 ),
inference(trivial_inequality_removal,[],[f2110]) ).
fof(f2113,plain,
( sK126 = cons(sK32(sK127,sK126,sK128),sK130)
| ~ spl134_5
| ~ spl134_12 ),
inference(superposition,[],[f1612,f2112]) ).
fof(f2114,plain,
( delete_succeeds(sK127,sK130,sK34(sK127,sK126,sK128))
| ~ spl134_5
| ~ spl134_12
| ~ spl134_38 ),
inference(superposition,[],[f1884,f2112]) ).
fof(f2120,plain,
( list_succeeds(sK34(sK127,sK126,sK128))
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| ~ spl134_38 ),
inference(resolution,[],[f2114,f2013]) ).
fof(f2122,plain,
( s(occ(sK127,sK34(sK127,sK126,sK128))) = occ(sK127,sK130)
| ~ spl134_2
| ~ spl134_5
| ~ spl134_12
| ~ spl134_38 ),
inference(resolution,[],[f2114,f1538]) ).
fof(f2173,definition,
( spl134_58
<=> sK127 = sK129 ),
introduced(definition,[new_symbols(definition,[spl134_58])],[avatar_definition]) ).
fof(f2174,plain,
( sK127 = sK129
| ~ spl134_58 ),
inference(avatar_component_clause,[],[f2173]) ).
fof(f2211,plain,
( ! [X0] :
( occ(X0,sK126) = occ(X0,sK130)
| sK32(sK127,sK126,sK128) = X0 )
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12 ),
inference(superposition,[],[f2016,f2113]) ).
fof(f2213,plain,
( occ(sK32(sK127,sK126,sK128),sK126) = s(occ(sK32(sK127,sK126,sK128),sK130))
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12 ),
inference(superposition,[],[f2017,f2113]) ).
fof(f2228,plain,
( occ(sK129,sK126) = s(occ(sK129,sK126))
| sK129 = sK32(sK127,sK126,sK128)
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12 ),
inference(superposition,[],[f2023,f2211]) ).
fof(f2235,plain,
( occ(sK127,sK126) = s(occ(sK127,sK126))
| sK129 = sK32(sK127,sK126,sK128)
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| ~ spl134_58 ),
inference(forward_demodulation,[],[f2228,f2174]) ).
fof(f2241,plain,
( sK127 = sK32(sK127,sK126,sK128)
| occ(sK127,sK126) = s(occ(sK127,sK126))
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| ~ spl134_58 ),
inference(forward_demodulation,[],[f2235,f2174]) ).
fof(f2243,definition,
( spl134_63
<=> occ(sK127,sK126) = s(occ(sK127,sK126)) ),
introduced(definition,[new_symbols(definition,[spl134_63])],[avatar_definition]) ).
fof(f2244,plain,
( occ(sK127,sK126) = s(occ(sK127,sK126))
| ~ spl134_63 ),
inference(avatar_component_clause,[],[f2243]) ).
fof(f2245,plain,
( spl134_63
| spl134_17
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| ~ spl134_58 ),
inference(avatar_split_clause,[],[f2241,f2173,f1611,f1548,f1544,f1658,f2243]) ).
fof(f2266,plain,
( sK128 = cons(sK127,sK34(sK127,sK126,sK128))
| ~ spl134_8
| ~ spl134_17 ),
inference(superposition,[],[f1589,f1659]) ).
fof(f2313,definition,
( spl134_65
<=> occ(sK127,sK126) = occ(sK127,sK130) ),
introduced(definition,[new_symbols(definition,[spl134_65])],[avatar_definition]) ).
fof(f2314,plain,
( occ(sK127,sK126) != occ(sK127,sK130)
| spl134_65 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f2336,plain,
( occ(sK127,sK128) = s(occ(sK127,sK34(sK127,sK126,sK128)))
| ~ spl134_8
| ~ spl134_17
| ~ spl134_37 ),
inference(superposition,[],[f1990,f2266]) ).
fof(f2348,plain,
( occ(sK127,sK128) = occ(sK127,sK130)
| ~ spl134_2
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| ~ spl134_17
| ~ spl134_37
| ~ spl134_38 ),
inference(forward_demodulation,[],[f2336,f2122]) ).
fof(f2349,plain,
( occ(sK127,sK126) != s(occ(sK127,sK130))
| ~ spl134_2
| ~ spl134_5
| spl134_7
| ~ spl134_8
| ~ spl134_12
| ~ spl134_17
| ~ spl134_37
| ~ spl134_38 ),
inference(superposition,[],[f1557,f2348]) ).
fof(f2363,plain,
( occ(sK127,sK126) = s(occ(sK127,sK130))
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| ~ spl134_17 ),
inference(forward_demodulation,[],[f2213,f1659]) ).
fof(f2364,plain,
( $false
| ~ spl134_2
| ~ spl134_4
| ~ spl134_5
| spl134_7
| ~ spl134_8
| ~ spl134_12
| ~ spl134_17
| ~ spl134_37
| ~ spl134_38 ),
inference(forward_subsumption_resolution,[],[f2363,f2349]) ).
fof(f2365,plain,
( ~ spl134_2
| ~ spl134_4
| ~ spl134_5
| spl134_7
| ~ spl134_8
| ~ spl134_12
| ~ spl134_17
| ~ spl134_37
| ~ spl134_38 ),
inference(avatar_contradiction_clause,[],[f2364]) ).
fof(f2402,definition,
( spl134_69
<=> sK126 = cons(sK127,sK130) ),
introduced(definition,[new_symbols(definition,[spl134_69])],[avatar_definition]) ).
fof(f2403,plain,
( sK126 = cons(sK127,sK130)
| ~ spl134_69 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f2487,plain,
( sK126 != sK126
| sK129 = sK32(sK127,sK126,sK128)
| ~ spl134_5
| ~ spl134_12 ),
inference(superposition,[],[f1947,f1549]) ).
fof(f2490,plain,
( sK129 = sK32(sK127,sK126,sK128)
| ~ spl134_5
| ~ spl134_12 ),
inference(trivial_inequality_removal,[],[f2487]) ).
fof(f2492,definition,
( spl134_81
<=> sK129 = sK32(sK127,sK126,sK128) ),
introduced(definition,[new_symbols(definition,[spl134_81])],[avatar_definition]) ).
fof(f2493,plain,
( sK129 = sK32(sK127,sK126,sK128)
| ~ spl134_81 ),
inference(avatar_component_clause,[],[f2492]) ).
fof(f2498,plain,
( spl134_81
| ~ spl134_5
| ~ spl134_12 ),
inference(avatar_split_clause,[],[f2490,f1611,f1548,f2492]) ).
fof(f2503,plain,
( sK128 = cons(sK129,sK34(sK127,sK126,sK128))
| ~ spl134_8
| ~ spl134_81 ),
inference(superposition,[],[f1589,f2493]) ).
fof(f2635,plain,
( ! [X0] :
( occ(X0,sK128) = occ(X0,sK34(sK127,sK126,sK128))
| sK129 = X0 )
| ~ spl134_8
| ~ spl134_37
| ~ spl134_81 ),
inference(superposition,[],[f1989,f2503]) ).
fof(f2642,plain,
( occ(sK127,sK126) != occ(sK127,sK126)
| sK127 = sK32(sK127,sK126,sK128)
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| spl134_65 ),
inference(superposition,[],[f2314,f2211]) ).
fof(f2645,plain,
( sK127 = sK32(sK127,sK126,sK128)
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| spl134_65 ),
inference(trivial_inequality_removal,[],[f2642]) ).
fof(f2653,plain,
( spl134_17
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| spl134_65 ),
inference(avatar_split_clause,[],[f2645,f2313,f1611,f1548,f1544,f1658]) ).
fof(f2718,definition,
( spl134_88
<=> occ(sK129,sK126) = occ(sK129,sK128) ),
introduced(definition,[new_symbols(definition,[spl134_88])],[avatar_definition]) ).
fof(f2719,plain,
( occ(sK129,sK126) != occ(sK129,sK128)
| spl134_88 ),
inference(avatar_component_clause,[],[f2718]) ).
fof(f2743,plain,
( occ(sK129,sK126) = occ(sK129,sK128)
| ~ spl134_88 ),
inference(avatar_component_clause,[],[f2718]) ).
fof(f2872,plain,
( s(occ(sK127,sK128)) = occ(sK127,sK130)
| sK127 = sK129
| ~ spl134_2
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| ~ spl134_37
| ~ spl134_38
| ~ spl134_81 ),
inference(superposition,[],[f2122,f2635]) ).
fof(f2879,plain,
( occ(sK127,sK126) = occ(sK127,sK130)
| ~ spl134_65 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f2902,definition,
( spl134_97
<=> s(occ(sK127,sK128)) = occ(sK127,sK130) ),
introduced(definition,[new_symbols(definition,[spl134_97])],[avatar_definition]) ).
fof(f2903,plain,
( s(occ(sK127,sK128)) = occ(sK127,sK130)
| ~ spl134_97 ),
inference(avatar_component_clause,[],[f2902]) ).
fof(f2904,plain,
( spl134_58
| spl134_97
| ~ spl134_2
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| ~ spl134_37
| ~ spl134_38
| ~ spl134_81 ),
inference(avatar_split_clause,[],[f2872,f2492,f1883,f1783,f1611,f1588,f1548,f1537,f2902,f2173]) ).
fof(f2909,plain,
( s(occ(sK127,sK128)) = occ(sK127,sK126)
| ~ spl134_65
| ~ spl134_97 ),
inference(forward_demodulation,[],[f2903,f2879]) ).
fof(f2910,plain,
( $false
| spl134_7
| ~ spl134_65
| ~ spl134_97 ),
inference(forward_subsumption_resolution,[],[f2909,f1557]) ).
fof(f2911,plain,
( spl134_7
| ~ spl134_65
| ~ spl134_97 ),
inference(avatar_contradiction_clause,[],[f2910]) ).
fof(f2924,plain,
( sK126 != sK126
| sK128 = sK130
| ~ spl134_5
| ~ spl134_9 ),
inference(superposition,[],[f2026,f1592]) ).
fof(f2925,plain,
( sK128 = sK130
| ~ spl134_5
| ~ spl134_9 ),
inference(trivial_inequality_removal,[],[f2924]) ).
fof(f2938,plain,
( occ(sK127,sK126) != s(occ(sK127,sK130))
| ~ spl134_5
| spl134_7
| ~ spl134_9 ),
inference(superposition,[],[f1557,f2925]) ).
fof(f2942,plain,
( sK126 = cons(sK127,sK130)
| ~ spl134_5
| ~ spl134_9 ),
inference(superposition,[],[f1592,f2925]) ).
fof(f2972,plain,
( spl134_69
| ~ spl134_5
| ~ spl134_9 ),
inference(avatar_split_clause,[],[f2942,f1591,f1548,f2402]) ).
fof(f2990,plain,
( occ(sK127,sK126) = s(occ(sK127,sK130))
| ~ spl134_4
| ~ spl134_69 ),
inference(superposition,[],[f2017,f2403]) ).
fof(f3005,plain,
( $false
| ~ spl134_4
| ~ spl134_5
| spl134_7
| ~ spl134_9
| ~ spl134_69 ),
inference(forward_subsumption_resolution,[],[f2990,f2938]) ).
fof(f3006,plain,
( ~ spl134_4
| ~ spl134_5
| spl134_7
| ~ spl134_9
| ~ spl134_69 ),
inference(avatar_contradiction_clause,[],[f3005]) ).
fof(f3062,plain,
( occ(sK127,sK128) = occ(sK127,sK126)
| ~ spl134_58
| ~ spl134_88 ),
inference(superposition,[],[f2743,f2174]) ).
fof(f3084,plain,
( occ(sK127,sK128) != occ(sK127,sK126)
| ~ spl134_58
| spl134_88 ),
inference(forward_demodulation,[],[f2719,f2174]) ).
fof(f3134,plain,
( ! [X0] :
( occ(X0,sK34(sK127,sK126,sK128)) = occ(X0,sK130)
| sK127 = X0 )
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| ~ spl134_38 ),
inference(resolution,[],[f2114,f2020]) ).
fof(f3146,plain,
( occ(sK32(sK127,sK126,sK128),sK128) = s(occ(sK32(sK127,sK126,sK128),sK130))
| sK127 = sK32(sK127,sK126,sK128)
| ~ spl134_4
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| ~ spl134_37
| ~ spl134_38 ),
inference(superposition,[],[f1997,f3134]) ).
fof(f3148,plain,
( s(occ(sK129,sK130)) = occ(sK129,sK128)
| sK127 = sK32(sK127,sK126,sK128)
| ~ spl134_4
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| ~ spl134_37
| ~ spl134_38
| ~ spl134_81 ),
inference(forward_demodulation,[],[f3146,f2493]) ).
fof(f3153,plain,
( occ(sK127,sK128) = s(occ(sK127,sK130))
| sK127 = sK32(sK127,sK126,sK128)
| ~ spl134_4
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| ~ spl134_37
| ~ spl134_38
| ~ spl134_58
| ~ spl134_81 ),
inference(forward_demodulation,[],[f3148,f2174]) ).
fof(f3154,plain,
( occ(sK127,sK128) = s(occ(sK127,sK126))
| sK127 = sK32(sK127,sK126,sK128)
| ~ spl134_4
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| ~ spl134_37
| ~ spl134_38
| ~ spl134_58
| ~ spl134_65
| ~ spl134_81 ),
inference(forward_demodulation,[],[f3153,f2879]) ).
fof(f3155,plain,
( occ(sK127,sK128) = occ(sK127,sK126)
| sK127 = sK32(sK127,sK126,sK128)
| ~ spl134_4
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| ~ spl134_37
| ~ spl134_38
| ~ spl134_58
| ~ spl134_63
| ~ spl134_65
| ~ spl134_81 ),
inference(forward_demodulation,[],[f3154,f2244]) ).
fof(f3156,plain,
( sK127 = sK32(sK127,sK126,sK128)
| ~ spl134_4
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| ~ spl134_37
| ~ spl134_38
| ~ spl134_58
| ~ spl134_63
| ~ spl134_65
| ~ spl134_81
| spl134_88 ),
inference(forward_subsumption_resolution,[],[f3155,f3084]) ).
fof(f3157,plain,
( spl134_17
| ~ spl134_4
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| ~ spl134_37
| ~ spl134_38
| ~ spl134_58
| ~ spl134_63
| ~ spl134_65
| ~ spl134_81
| spl134_88 ),
inference(avatar_split_clause,[],[f3156,f2718,f2492,f2313,f2243,f2173,f1883,f1783,f1611,f1588,f1548,f1544,f1658]) ).
fof(f3220,plain,
( occ(sK127,sK126) != s(occ(sK127,sK126))
| spl134_7
| ~ spl134_58
| ~ spl134_88 ),
inference(superposition,[],[f1557,f3062]) ).
fof(f3221,plain,
( $false
| spl134_7
| ~ spl134_58
| ~ spl134_63
| ~ spl134_88 ),
inference(forward_subsumption_resolution,[],[f3220,f2244]) ).
fof(f3222,plain,
( spl134_7
| ~ spl134_58
| ~ spl134_63
| ~ spl134_88 ),
inference(avatar_contradiction_clause,[],[f3221]) ).
fof(f3224,plain,
( spl134_37
| ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| ~ spl134_38 ),
inference(avatar_split_clause,[],[f2120,f1883,f1611,f1548,f1544,f1783]) ).
cnf(s1,plain,
( spl134_1
| spl134_2
| spl134_3 ),
inference(sat_conversion,[],[f1542]) ).
cnf(s2,plain,
( spl134_1
| spl134_3
| spl134_4 ),
inference(sat_conversion,[],[f1546]) ).
cnf(s3,plain,
( spl134_1
| spl134_3
| spl134_5 ),
inference(sat_conversion,[],[f1550]) ).
cnf(s4,plain,
( spl134_3
| spl134_6 ),
inference(sat_conversion,[],[f1554]) ).
cnf(s5,plain,
( spl134_3
| ~ spl134_7 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s6,plain,
~ spl134_3,
inference(sat_conversion,[],[f1563]) ).
cnf(s7,plain,
( ~ spl134_6
| spl134_8
| spl134_9 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s9,plain,
( ~ spl134_6
| spl134_9
| spl134_12 ),
inference(sat_conversion,[],[f1613]) ).
cnf(s30,plain,
( ~ spl134_6
| spl134_9
| spl134_38 ),
inference(sat_conversion,[],[f1885]) ).
cnf(s36,plain,
( ~ spl134_1
| ~ spl134_6 ),
inference(sat_conversion,[],[f2002]) ).
cnf(s50,plain,
( ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| spl134_17
| ~ spl134_58
| spl134_63 ),
inference(sat_conversion,[],[f2245]) ).
cnf(s57,plain,
( ~ spl134_2
| ~ spl134_4
| ~ spl134_5
| spl134_7
| ~ spl134_8
| ~ spl134_12
| ~ spl134_17
| ~ spl134_37
| ~ spl134_38 ),
inference(sat_conversion,[],[f2365]) ).
cnf(s74,plain,
( ~ spl134_5
| ~ spl134_12
| spl134_81 ),
inference(sat_conversion,[],[f2498]) ).
cnf(s82,plain,
( ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| spl134_17
| spl134_65 ),
inference(sat_conversion,[],[f2653]) ).
cnf(s96,plain,
( ~ spl134_2
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| ~ spl134_37
| ~ spl134_38
| spl134_58
| ~ spl134_81
| spl134_97 ),
inference(sat_conversion,[],[f2904]) ).
cnf(s97,plain,
( spl134_7
| ~ spl134_65
| ~ spl134_97 ),
inference(sat_conversion,[],[f2911]) ).
cnf(s98,plain,
( ~ spl134_5
| ~ spl134_9
| spl134_69 ),
inference(sat_conversion,[],[f2972]) ).
cnf(s106,plain,
( ~ spl134_4
| ~ spl134_5
| spl134_7
| ~ spl134_9
| ~ spl134_69 ),
inference(sat_conversion,[],[f3006]) ).
cnf(s110,plain,
( ~ spl134_4
| ~ spl134_5
| ~ spl134_8
| ~ spl134_12
| spl134_17
| ~ spl134_37
| ~ spl134_38
| ~ spl134_58
| ~ spl134_63
| ~ spl134_65
| ~ spl134_81
| spl134_88 ),
inference(sat_conversion,[],[f3157]) ).
cnf(s111,plain,
( spl134_7
| ~ spl134_58
| ~ spl134_63
| ~ spl134_88 ),
inference(sat_conversion,[],[f3222]) ).
cnf(s112,plain,
( ~ spl134_4
| ~ spl134_5
| ~ spl134_12
| spl134_37
| ~ spl134_38 ),
inference(sat_conversion,[],[f3224]) ).
cnf(s118,plain,
~ spl134_7,
inference(rat,[],[s5,s6]) ).
cnf(s119,plain,
spl134_6,
inference(rat,[],[s4,s6]) ).
cnf(s120,plain,
~ spl134_1,
inference(rat,[],[s36,s119]) ).
cnf(s121,plain,
spl134_5,
inference(rat,[],[s3,s6,s120]) ).
cnf(s122,plain,
spl134_4,
inference(rat,[],[s2,s6,s120]) ).
cnf(s123,plain,
spl134_2,
inference(rat,[],[s1,s6,s120]) ).
cnf(s124,plain,
~ spl134_9,
inference(rat,[],[s106,s98,s118,s121,s122]) ).
cnf(s125,plain,
spl134_38,
inference(rat,[],[s30,s119,s124]) ).
cnf(s126,plain,
spl134_12,
inference(rat,[],[s9,s119,s124]) ).
cnf(s127,plain,
spl134_8,
inference(rat,[],[s7,s119,s124]) ).
cnf(s128,plain,
spl134_81,
inference(rat,[],[s74,s121,s126]) ).
cnf(s129,plain,
spl134_37,
inference(rat,[],[s112,s125,s122,s121,s126]) ).
cnf(s130,plain,
~ spl134_17,
inference(rat,[],[s57,s125,s129,s127,s123,s122,s118,s121,s126]) ).
cnf(s132,plain,
spl134_65,
inference(rat,[],[s82,s126,s122,s121,s130]) ).
cnf(s135,plain,
~ spl134_97,
inference(rat,[],[s97,s118,s132]) ).
cnf(s136,plain,
spl134_58,
inference(rat,[],[s96,s126,s128,s129,s125,s127,s123,s121,s135]) ).
cnf(s139,plain,
spl134_63,
inference(rat,[],[s50,s130,s126,s122,s121,s136]) ).
cnf(s142,plain,
~ spl134_88,
inference(rat,[],[s111,s136,s118,s139]) ).
cnf(s143,plain,
$false,
inference(rat,[],[s110,s136,s128,s132,s130,s126,s125,s129,s127,s122,s121,s142,s139]) ).
fof(f3225,plain,
$false,
inference(avatar_sat_refutation,[],[s143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX051+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n001.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 15:00:33 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 8.60/2.06 % (411805)Detected formulas, will run a generic FOF schedule.
% 8.60/2.06 % (411814)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1030540994:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.60/2.06 % (411814)Instruction limit reached!
% 8.60/2.06 % (411814)------------------------------
% 8.60/2.06 % (411814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411814)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411814)Termination reason: Instruction limit
% 8.60/2.06 % (411814)Termination phase: Saturation
% 8.60/2.06 % (411814)Time elapsed: 0.040 s
% 8.60/2.06 % (411814)Peak memory usage: 89 MB
% 8.60/2.06 % (411814)Instructions burned: 120 (million)
% 8.60/2.06 % (411815)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1211728502:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.60/2.06 % (411811)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=262551216:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.60/2.06 % (411810)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=2186973359:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.60/2.06 % (411816)dis-21_1_sil=8000:lcm=predicate:random_seed=1483707415: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)
% 8.60/2.06 % (411813)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3626478353:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.60/2.06 % (411812)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=1907167666:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.60/2.06 % (411813)Instruction limit reached!
% 8.60/2.06 % (411813)------------------------------
% 8.60/2.06 % (411813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411813)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411813)Termination reason: Instruction limit
% 8.60/2.06 % (411813)Termination phase: Saturation
% 8.60/2.06 % (411813)Time elapsed: 0.068 s
% 8.60/2.06 % (411813)Peak memory usage: 89 MB
% 8.60/2.06 % (411813)Instructions burned: 110 (million)
% 8.60/2.06 % (411816)Instruction limit reached!
% 8.60/2.06 % (411816)------------------------------
% 8.60/2.06 % (411816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411816)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411816)Termination reason: Instruction limit
% 8.60/2.06 % (411816)Termination phase: Saturation
% 8.60/2.06 % (411816)Time elapsed: 0.084 s
% 8.60/2.06 % (411816)Peak memory usage: 90 MB
% 8.60/2.06 % (411816)Instructions burned: 130 (million)
% 8.60/2.06 % (411815)Instruction limit reached!
% 8.60/2.06 % (411815)------------------------------
% 8.60/2.06 % (411815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411815)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411815)Termination reason: Instruction limit
% 8.60/2.06 % (411815)Termination phase: Saturation
% 8.60/2.06 % (411815)Time elapsed: 0.101 s
% 8.60/2.06 % (411815)Peak memory usage: 90 MB
% 8.60/2.06 % (411815)Instructions burned: 140 (million)
% 8.60/2.06 % (411818)lrs+10_1_sil=8000:sp=occurrence:random_seed=2013509416:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.60/2.06 % (411825)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1357423901:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.60/2.06 % (411818)Instruction limit reached!
% 8.60/2.06 % (411818)------------------------------
% 8.60/2.06 % (411818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411818)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411818)Termination reason: Instruction limit
% 8.60/2.06 % (411818)Termination phase: Saturation
% 8.60/2.06 % (411818)Time elapsed: 0.109 s
% 8.60/2.06 % (411818)Peak memory usage: 92 MB
% 8.60/2.06 % (411818)Instructions burned: 286 (million)
% 8.60/2.06 % (411826)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2962326328:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.60/2.06 % (411827)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=2484370701:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.60/2.06 % (411825)Instruction limit reached!
% 8.60/2.06 % (411825)------------------------------
% 8.60/2.06 % (411825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411825)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411825)Termination reason: Instruction limit
% 8.60/2.06 % (411825)Termination phase: Saturation
% 8.60/2.06 % (411825)Time elapsed: 0.093 s
% 8.60/2.06 % (411825)Peak memory usage: 91 MB
% 8.60/2.06 % (411825)Instructions burned: 159 (million)
% 8.60/2.06 % (411830)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1216302455:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.60/2.06 % (411830)Instruction limit reached!
% 8.60/2.06 % (411830)------------------------------
% 8.60/2.06 % (411830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411830)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411830)Termination reason: Instruction limit
% 8.60/2.06 % (411830)Termination phase: Saturation
% 8.60/2.06 % (411830)Time elapsed: 0.090 s
% 8.60/2.06 % (411830)Peak memory usage: 90 MB
% 8.60/2.06 % (411830)Instructions burned: 297 (million)
% 8.60/2.06 % (411827)Instruction limit reached!
% 8.60/2.06 % (411827)------------------------------
% 8.60/2.06 % (411827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411827)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411827)Termination reason: Instruction limit
% 8.60/2.06 % (411827)Termination phase: Saturation
% 8.60/2.06 % (411827)Time elapsed: 0.151 s
% 8.60/2.06 % (411827)Peak memory usage: 93 MB
% 8.60/2.06 % (411827)Instructions burned: 249 (million)
% 8.60/2.06 % (411826)Instruction limit reached!
% 8.60/2.06 % (411826)------------------------------
% 8.60/2.06 % (411826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411826)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411826)Termination reason: Instruction limit
% 8.60/2.06 % (411826)Termination phase: Saturation
% 8.60/2.06 % (411826)Time elapsed: 0.225 s
% 8.60/2.06 % (411826)Peak memory usage: 92 MB
% 8.60/2.06 % (411826)Instructions burned: 325 (million)
% 8.60/2.06 % (411833)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=718527741:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.60/2.06 % (411835)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2693997048:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.60/2.06 % (411835)Instruction limit reached!
% 8.60/2.06 % (411835)------------------------------
% 8.60/2.06 % (411835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411835)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411835)Termination reason: Instruction limit
% 8.60/2.06 % (411835)Termination phase: Saturation
% 8.60/2.06 % (411835)Time elapsed: 0.041 s
% 8.60/2.06 % (411835)Peak memory usage: 91 MB
% 8.60/2.06 % (411835)Instructions burned: 116 (million)
% 8.60/2.06 % (411836)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4190699512:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.60/2.06 % (411837)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3804294682:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.60/2.06 % (411836)Instruction limit reached!
% 8.60/2.06 % (411836)------------------------------
% 8.60/2.06 % (411836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411836)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411836)Termination reason: Instruction limit
% 8.60/2.06 % (411836)Termination phase: Saturation
% 8.60/2.06 % (411836)Time elapsed: 0.068 s
% 8.60/2.06 % (411836)Peak memory usage: 89 MB
% 8.60/2.06 % (411836)Instructions burned: 128 (million)
% 8.60/2.06 % (411837)Instruction limit reached!
% 8.60/2.06 % (411837)------------------------------
% 8.60/2.06 % (411837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411837)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411837)Termination reason: Instruction limit
% 8.60/2.06 % (411837)Termination phase: Saturation
% 8.60/2.06 % (411837)Time elapsed: 0.070 s
% 8.60/2.06 % (411837)Peak memory usage: 89 MB
% 8.60/2.06 % (411837)Instructions burned: 115 (million)
% 8.60/2.06 % (411840)lrs+10_1_sil=8000:sp=occurrence:random_seed=2538109483:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.60/2.06 % (411843)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2906605838:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.60/2.06 % (411844)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2911244779:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.60/2.06 % (411811)First to succeed.
% 8.60/2.06 % (411811)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-411805"
% 8.60/2.06 % (411840)Instruction limit reached!
% 8.60/2.06 % (411840)------------------------------
% 8.60/2.06 % (411840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411840)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411840)Termination reason: Instruction limit
% 8.60/2.06 % (411840)Termination phase: Saturation
% 8.60/2.06 % (411840)Time elapsed: 0.331 s
% 8.60/2.06 % (411840)Peak memory usage: 99 MB
% 8.60/2.06 % (411840)Instructions burned: 908 (million)
% 8.60/2.06 % (411843)Instruction limit reached!
% 8.60/2.06 % (411843)------------------------------
% 8.60/2.06 % (411843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06 % (411843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06 % (411843)CaDiCaL version: 2.1.3
% 8.60/2.06 % (411843)Termination reason: Instruction limit
% 8.60/2.06 % (411843)Termination phase: Saturation
% 8.60/2.06 % (411843)Time elapsed: 0.258 s
% 8.60/2.06 % (411843)Peak memory usage: 91 MB
% 8.60/2.06 % (411843)Instructions burned: 438 (million)
% 8.60/2.06 % (411811)Refutation found. Thanks to Tanya!
% 8.60/2.06 % SZS status Theorem for theBenchmark
% 8.60/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 10.23/2.26 % (411811)------------------------------
% 10.23/2.26 % (411811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.23/2.26 % (411811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.26 % (411811)CaDiCaL version: 2.1.3
% 10.23/2.26 % (411811)Termination reason: Refutation
% 10.23/2.26 % (411811)Time elapsed: 0.927 s
% 10.23/2.26 % (411811)Peak memory usage: 136 MB
% 10.23/2.26 % (411811)Instructions burned: 1409 (million)
% 10.23/2.26 % (411811)------------------------------
% 10.23/2.26 % (411811)------------------------------
% 10.23/2.26 % (411805)Success in time 1.37 s
% 10.23/2.26 % Vampire exiting
%------------------------------------------------------------------------------