%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM488+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:15:24 PM UTC 2026
% Result : Theorem 10.56s 2.35s
% Output : Refutation 11.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 25
% Syntax : Number of formulae : 141 ( 35 unt; 14 def)
% Number of atoms : 462 ( 49 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 600 ( 279 ~; 262 |; 31 &)
% ( 20 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 104 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X0,sdtpldt0(X1,X2)) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f42,axiom,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f43,axiom,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
fof(f45,conjecture,
doDivides0(xp,sdtasdt0(xr,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f46,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f49,plain,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(flattening,[],[f46]) ).
fof(f52,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f52]) ).
fof(f59,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f60,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f59]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f65]) ).
fof(f77,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f77]) ).
fof(f96,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f97,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f96]) ).
fof(f104,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f105,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f104]) ).
fof(f119,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f78]) ).
fof(f120,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f97]) ).
fof(f122,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f122]) ).
fof(f135,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f140,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f146,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f158,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f159,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f180,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f186,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f199,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f200,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f201,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f203,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f205,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f206,plain,
xr = sdtmndt0(xn,xp),
inference(cnf_transformation,[],[f43]) ).
fof(f209,plain,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(cnf_transformation,[],[f49]) ).
fof(f212,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f159]) ).
fof(f213,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f158]) ).
fof(f216,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f180]) ).
fof(f224,definition,
( spl4_1
<=> doDivides0(xp,sdtasdt0(xr,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f226,plain,
( ~ doDivides0(xp,sdtasdt0(xr,xm))
| spl4_1 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f227,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f209,f224]) ).
fof(f228,plain,
( ! [X0] :
( ~ doDivides0(xp,X0)
| ~ doDivides0(xp,sdtpldt0(X0,sdtasdt0(xr,xm)))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) )
| spl4_1 ),
inference(resolution,[],[f226,f186]) ).
fof(f235,plain,
( ! [X0] :
( ~ doDivides0(xp,X0)
| ~ doDivides0(xp,sdtpldt0(X0,sdtasdt0(xr,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) )
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f228,f199]) ).
fof(f237,definition,
( spl4_2
<=> aNaturalNumber0(xm) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f239,plain,
( aNaturalNumber0(xm)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f240,plain,
spl4_2,
inference(avatar_split_clause,[],[f200,f237]) ).
fof(f243,plain,
( ! [X0] :
( aNaturalNumber0(sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl4_2 ),
inference(resolution,[],[f239,f135]) ).
fof(f362,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) )
| ~ spl4_2 ),
inference(resolution,[],[f239,f216]) ).
fof(f371,definition,
( spl4_3
<=> aNaturalNumber0(xp) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f373,plain,
( aNaturalNumber0(xp)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,plain,
spl4_3,
inference(avatar_split_clause,[],[f199,f371]) ).
fof(f376,definition,
( spl4_4
<=> aNaturalNumber0(xn) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f378,plain,
( aNaturalNumber0(xn)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f379,plain,
spl4_4,
inference(avatar_split_clause,[],[f201,f376]) ).
fof(f640,definition,
( spl4_5
<=> doDivides0(xp,sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f642,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f643,plain,
spl4_5,
inference(avatar_split_clause,[],[f203,f640]) ).
fof(f645,definition,
( spl4_6
<=> xr = sdtmndt0(xn,xp) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f647,plain,
( xr = sdtmndt0(xn,xp)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f648,plain,
spl4_6,
inference(avatar_split_clause,[],[f206,f645]) ).
fof(f649,plain,
( xn = sdtpldt0(xp,xr)
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl4_6 ),
inference(superposition,[],[f213,f647]) ).
fof(f650,plain,
( aNaturalNumber0(xr)
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl4_6 ),
inference(superposition,[],[f212,f647]) ).
fof(f651,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f650,f205]) ).
fof(f652,plain,
( xn = sdtpldt0(xp,xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f649,f205]) ).
fof(f653,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ spl4_3
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f651,f373]) ).
fof(f654,plain,
( xn = sdtpldt0(xp,xr)
| ~ aNaturalNumber0(xn)
| ~ spl4_3
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f652,f373]) ).
fof(f655,plain,
( aNaturalNumber0(xr)
| ~ spl4_3
| ~ spl4_4
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f653,f378]) ).
fof(f656,plain,
( xn = sdtpldt0(xp,xr)
| ~ spl4_3
| ~ spl4_4
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f654,f378]) ).
fof(f747,definition,
( spl4_9
<=> aNaturalNumber0(xr) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f749,plain,
( aNaturalNumber0(xr)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f750,plain,
( spl4_9
| ~ spl4_3
| ~ spl4_4
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f655,f645,f376,f371,f747]) ).
fof(f942,definition,
( spl4_13
<=> xn = sdtpldt0(xp,xr) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
fof(f944,plain,
( xn = sdtpldt0(xp,xr)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f945,plain,
( spl4_13
| ~ spl4_3
| ~ spl4_4
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f656,f645,f376,f371,f942]) ).
fof(f1004,definition,
( spl4_14
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f1005,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) )
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1006,plain,
( spl4_14
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f362,f237,f1004]) ).
fof(f1007,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl4_2
| ~ spl4_14 ),
inference(forward_subsumption_resolution,[],[f1005,f243]) ).
fof(f1162,definition,
( spl4_20
<=> ! [X0] :
( doDivides0(X0,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f1163,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1164,plain,
( spl4_20
| ~ spl4_2
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f1007,f1004,f237,f1162]) ).
fof(f1866,definition,
( spl4_31
<=> ! [X0] :
( aNaturalNumber0(sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_31])],[avatar_definition]) ).
fof(f1867,plain,
( ! [X0] :
( aNaturalNumber0(sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl4_31 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f1868,plain,
( spl4_31
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f243,f237,f1866]) ).
fof(f2726,definition,
( spl4_47
<=> aNaturalNumber0(sdtasdt0(xr,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_47])],[avatar_definition]) ).
fof(f2728,plain,
( ~ aNaturalNumber0(sdtasdt0(xr,xm))
| spl4_47 ),
inference(avatar_component_clause,[],[f2726]) ).
fof(f2730,definition,
( spl4_48
<=> ! [X0] :
( ~ doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,sdtpldt0(X0,sdtasdt0(xr,xm))) ) ),
introduced(definition,[new_symbols(definition,[spl4_48])],[avatar_definition]) ).
fof(f2731,plain,
( ! [X0] :
( ~ doDivides0(xp,sdtpldt0(X0,sdtasdt0(xr,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) )
| ~ spl4_48 ),
inference(avatar_component_clause,[],[f2730]) ).
fof(f2732,plain,
( ~ spl4_47
| spl4_48
| spl4_1 ),
inference(avatar_split_clause,[],[f235,f224,f2730,f2726]) ).
fof(f2737,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| spl4_47 ),
inference(superposition,[],[f2728,f140]) ).
fof(f2740,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| spl4_47 ),
inference(forward_subsumption_resolution,[],[f2737,f135]) ).
fof(f2747,plain,
( ~ aNaturalNumber0(xr)
| ~ spl4_2
| spl4_47 ),
inference(forward_subsumption_resolution,[],[f2740,f239]) ).
fof(f2756,plain,
( $false
| ~ spl4_2
| ~ spl4_9
| spl4_47 ),
inference(forward_subsumption_resolution,[],[f2747,f749]) ).
fof(f2757,plain,
( ~ spl4_2
| ~ spl4_9
| spl4_47 ),
inference(avatar_contradiction_clause,[],[f2756]) ).
fof(f2906,plain,
( ! [X0] :
( ~ doDivides0(xp,sdtasdt0(sdtpldt0(X0,xr),xm))
| ~ aNaturalNumber0(sdtasdt0(X0,xm))
| ~ doDivides0(xp,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr) )
| ~ spl4_48 ),
inference(superposition,[],[f2731,f146]) ).
fof(f2910,plain,
( ! [X0] :
( ~ doDivides0(xp,sdtasdt0(sdtpldt0(X0,xr),xm))
| ~ aNaturalNumber0(sdtasdt0(X0,xm))
| ~ doDivides0(xp,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr) )
| ~ spl4_2
| ~ spl4_48 ),
inference(forward_subsumption_resolution,[],[f2906,f239]) ).
fof(f2921,plain,
( ! [X0] :
( ~ doDivides0(xp,sdtasdt0(sdtpldt0(X0,xr),xm))
| ~ aNaturalNumber0(sdtasdt0(X0,xm))
| ~ doDivides0(xp,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl4_2
| ~ spl4_9
| ~ spl4_48 ),
inference(forward_subsumption_resolution,[],[f2910,f749]) ).
fof(f2928,plain,
( ! [X0] :
( ~ doDivides0(xp,sdtasdt0(sdtpldt0(X0,xr),xm))
| ~ doDivides0(xp,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl4_2
| ~ spl4_9
| ~ spl4_31
| ~ spl4_48 ),
inference(forward_subsumption_resolution,[],[f2921,f1867]) ).
fof(f3926,definition,
( spl4_74
<=> ! [X0] :
( ~ doDivides0(xp,sdtasdt0(sdtpldt0(X0,xr),xm))
| ~ doDivides0(xp,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_74])],[avatar_definition]) ).
fof(f3927,plain,
( ! [X0] :
( ~ doDivides0(xp,sdtasdt0(sdtpldt0(X0,xr),xm))
| ~ doDivides0(xp,sdtasdt0(X0,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl4_74 ),
inference(avatar_component_clause,[],[f3926]) ).
fof(f3928,plain,
( spl4_74
| ~ spl4_2
| ~ spl4_9
| ~ spl4_31
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f2928,f2730,f1866,f747,f237,f3926]) ).
fof(f3935,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ doDivides0(xp,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ spl4_13
| ~ spl4_74 ),
inference(superposition,[],[f3927,f944]) ).
fof(f3944,plain,
( ~ doDivides0(xp,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ spl4_5
| ~ spl4_13
| ~ spl4_74 ),
inference(forward_subsumption_resolution,[],[f3935,f642]) ).
fof(f3950,plain,
( ~ aNaturalNumber0(xp)
| ~ spl4_5
| ~ spl4_13
| ~ spl4_20
| ~ spl4_74 ),
inference(forward_subsumption_resolution,[],[f3944,f1163]) ).
fof(f3952,plain,
( $false
| ~ spl4_3
| ~ spl4_5
| ~ spl4_13
| ~ spl4_20
| ~ spl4_74 ),
inference(forward_subsumption_resolution,[],[f3950,f373]) ).
fof(f3953,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_13
| ~ spl4_20
| ~ spl4_74 ),
inference(avatar_contradiction_clause,[],[f3952]) ).
cnf(s1,plain,
~ spl4_1,
inference(sat_conversion,[],[f227]) ).
cnf(s2,plain,
spl4_2,
inference(sat_conversion,[],[f240]) ).
cnf(s3,plain,
spl4_3,
inference(sat_conversion,[],[f374]) ).
cnf(s4,plain,
spl4_4,
inference(sat_conversion,[],[f379]) ).
cnf(s5,plain,
spl4_5,
inference(sat_conversion,[],[f643]) ).
cnf(s6,plain,
spl4_6,
inference(sat_conversion,[],[f648]) ).
cnf(s9,plain,
( ~ spl4_3
| ~ spl4_4
| ~ spl4_6
| spl4_9 ),
inference(sat_conversion,[],[f750]) ).
cnf(s13,plain,
( ~ spl4_3
| ~ spl4_4
| ~ spl4_6
| spl4_13 ),
inference(sat_conversion,[],[f945]) ).
cnf(s14,plain,
( ~ spl4_2
| spl4_14 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s20,plain,
( ~ spl4_2
| ~ spl4_14
| spl4_20 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s31,plain,
( ~ spl4_2
| spl4_31 ),
inference(sat_conversion,[],[f1868]) ).
cnf(s47,plain,
( spl4_1
| ~ spl4_47
| spl4_48 ),
inference(sat_conversion,[],[f2732]) ).
cnf(s53,plain,
( ~ spl4_2
| ~ spl4_9
| spl4_47 ),
inference(sat_conversion,[],[f2757]) ).
cnf(s79,plain,
( ~ spl4_2
| ~ spl4_9
| ~ spl4_31
| ~ spl4_48
| spl4_74 ),
inference(sat_conversion,[],[f3928]) ).
cnf(s80,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_13
| ~ spl4_20
| ~ spl4_74 ),
inference(sat_conversion,[],[f3953]) ).
cnf(s100,plain,
spl4_13,
inference(rat,[],[s13,s4,s6,s3]) ).
cnf(s101,plain,
spl4_9,
inference(rat,[],[s9,s4,s6,s3]) ).
cnf(s116,plain,
spl4_47,
inference(rat,[],[s53,s101,s2]) ).
cnf(s121,plain,
spl4_31,
inference(rat,[],[s31,s2]) ).
cnf(s126,plain,
spl4_14,
inference(rat,[],[s14,s2]) ).
cnf(s134,plain,
spl4_20,
inference(rat,[],[s20,s2,s126]) ).
cnf(s139,plain,
~ spl4_74,
inference(rat,[],[s80,s100,s3,s5,s134]) ).
cnf(s140,plain,
~ spl4_48,
inference(rat,[],[s79,s121,s2,s101,s139]) ).
cnf(s141,plain,
spl4_1,
inference(rat,[],[s47,s116,s140]) ).
cnf(s142,plain,
$false,
inference(rat,[],[s1,s141]) ).
fof(f3954,plain,
$false,
inference(avatar_sat_refutation,[],[s142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM488+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 20:15:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.56/2.35 % (3920184)Detected formulas, will run a generic FOF schedule.
% 10.56/2.35 % (3920194)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=782405115:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.56/2.35 % (3920192)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3699549771:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.56/2.35 % (3920190)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=1770439921:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.56/2.35 % (3920191)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=4046851538:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.56/2.35 % (3920189)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=36784926:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.56/2.35 % (3920193)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=964196870:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.56/2.35 % (3920195)dis-21_1_sil=8000:lcm=predicate:random_seed=3314546878: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)
% 10.56/2.35 % (3920194)Instruction limit reached!
% 10.56/2.35 % (3920194)------------------------------
% 10.56/2.35 % (3920194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920194)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920194)Termination reason: Instruction limit
% 10.56/2.35 % (3920194)Termination phase: Saturation
% 10.56/2.35 % (3920194)Time elapsed: 0.050 s
% 10.56/2.35 % (3920194)Peak memory usage: 90 MB
% 10.56/2.35 % (3920194)Instructions burned: 141 (million)
% 10.56/2.35 % (3920192)Instruction limit reached!
% 10.56/2.35 % (3920192)------------------------------
% 10.56/2.35 % (3920192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920192)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920192)Termination reason: Instruction limit
% 10.56/2.35 % (3920192)Termination phase: Saturation
% 10.56/2.35 % (3920192)Time elapsed: 0.061 s
% 10.56/2.35 % (3920192)Peak memory usage: 89 MB
% 10.56/2.35 % (3920192)Instructions burned: 109 (million)
% 10.56/2.35 % (3920193)Instruction limit reached!
% 10.56/2.35 % (3920193)------------------------------
% 10.56/2.35 % (3920193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920193)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920193)Termination reason: Instruction limit
% 10.56/2.35 % (3920193)Termination phase: Saturation
% 10.56/2.35 % (3920193)Time elapsed: 0.073 s
% 10.56/2.35 % (3920193)Peak memory usage: 88 MB
% 10.56/2.35 % (3920193)Instructions burned: 119 (million)
% 10.56/2.35 % (3920195)Instruction limit reached!
% 10.56/2.35 % (3920195)------------------------------
% 10.56/2.35 % (3920195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920195)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920195)Termination reason: Instruction limit
% 10.56/2.35 % (3920195)Termination phase: Saturation
% 10.56/2.35 % (3920195)Time elapsed: 0.082 s
% 10.56/2.35 % (3920195)Peak memory usage: 90 MB
% 10.56/2.35 % (3920195)Instructions burned: 129 (million)
% 10.56/2.35 % (3920203)lrs+10_1_sil=8000:sp=occurrence:random_seed=270437615:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.56/2.35 % (3920204)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2178152611:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.56/2.35 % (3920203)Instruction limit reached!
% 10.56/2.35 % (3920203)------------------------------
% 10.56/2.35 % (3920203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920203)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920203)Termination reason: Instruction limit
% 10.56/2.35 % (3920203)Termination phase: Saturation
% 10.56/2.35 % (3920203)Time elapsed: 0.089 s
% 10.56/2.35 % (3920203)Peak memory usage: 92 MB
% 10.56/2.35 % (3920203)Instructions burned: 285 (million)
% 10.56/2.35 % (3920205)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3666200917:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.56/2.35 % (3920206)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=1754166518:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.56/2.35 % (3920204)Instruction limit reached!
% 10.56/2.35 % (3920204)------------------------------
% 10.56/2.35 % (3920204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920204)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920204)Termination reason: Instruction limit
% 10.56/2.35 % (3920204)Termination phase: Saturation
% 10.56/2.35 % (3920204)Time elapsed: 0.072 s
% 10.56/2.35 % (3920204)Peak memory usage: 90 MB
% 10.56/2.35 % (3920204)Instructions burned: 159 (million)
% 10.56/2.35 % (3920209)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1138427161:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 10.56/2.35 % (3920206)Instruction limit reached!
% 10.56/2.35 % (3920206)------------------------------
% 10.56/2.35 % (3920206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920206)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920206)Termination reason: Instruction limit
% 10.56/2.35 % (3920206)Termination phase: Saturation
% 10.56/2.35 % (3920206)Time elapsed: 0.124 s
% 10.56/2.35 % (3920206)Peak memory usage: 94 MB
% 10.56/2.35 % (3920206)Instructions burned: 249 (million)
% 10.56/2.35 % (3920209)Instruction limit reached!
% 10.56/2.35 % (3920209)------------------------------
% 10.56/2.35 % (3920209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920209)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920209)Termination reason: Instruction limit
% 10.56/2.35 % (3920209)Termination phase: Saturation
% 10.56/2.35 % (3920209)Time elapsed: 0.084 s
% 10.56/2.35 % (3920209)Peak memory usage: 89 MB
% 10.56/2.35 % (3920209)Instructions burned: 297 (million)
% 10.56/2.35 % (3920212)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=139574598:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 10.56/2.35 % (3920205)Instruction limit reached!
% 10.56/2.35 % (3920205)------------------------------
% 10.56/2.35 % (3920205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920205)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920205)Termination reason: Instruction limit
% 10.56/2.35 % (3920205)Termination phase: Saturation
% 10.56/2.35 % (3920205)Time elapsed: 0.199 s
% 10.56/2.35 % (3920205)Peak memory usage: 92 MB
% 10.56/2.35 % (3920205)Instructions burned: 326 (million)
% 10.56/2.35 % (3920215)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1394751866:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.56/2.35 % (3920215)Instruction limit reached!
% 10.56/2.35 % (3920215)------------------------------
% 10.56/2.35 % (3920215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920215)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920215)Termination reason: Instruction limit
% 10.56/2.35 % (3920215)Termination phase: Saturation
% 10.56/2.35 % (3920215)Time elapsed: 0.036 s
% 10.56/2.35 % (3920215)Peak memory usage: 89 MB
% 10.56/2.35 % (3920215)Instructions burned: 132 (million)
% 10.56/2.35 % (3920214)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=651057674:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.56/2.35 % (3920217)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2154318503:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 10.56/2.35 % (3920214)Instruction limit reached!
% 10.56/2.35 % (3920214)------------------------------
% 10.56/2.35 % (3920214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920214)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920214)Termination reason: Instruction limit
% 10.56/2.35 % (3920214)Termination phase: Saturation
% 10.56/2.35 % (3920214)Time elapsed: 0.070 s
% 10.56/2.35 % (3920214)Peak memory usage: 90 MB
% 10.56/2.35 % (3920214)Instructions burned: 113 (million)
% 10.56/2.35 % (3920219)lrs+10_1_sil=8000:sp=occurrence:random_seed=2043312744:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 10.56/2.35 % (3920217)Instruction limit reached!
% 10.56/2.35 % (3920217)------------------------------
% 10.56/2.35 % (3920217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920217)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920217)Termination reason: Instruction limit
% 10.56/2.35 % (3920217)Termination phase: Saturation
% 10.56/2.35 % (3920217)Time elapsed: 0.069 s
% 10.56/2.35 % (3920217)Peak memory usage: 89 MB
% 10.56/2.35 % (3920217)Instructions burned: 115 (million)
% 10.56/2.35 % (3920222)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=905290766:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.56/2.35 % (3920224)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2855644557:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 10.56/2.35 % (3920219)Instruction limit reached!
% 10.56/2.35 % (3920219)------------------------------
% 10.56/2.35 % (3920219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920219)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920219)Termination reason: Instruction limit
% 10.56/2.35 % (3920219)Termination phase: Saturation
% 10.56/2.35 % (3920219)Time elapsed: 0.269 s
% 10.56/2.35 % (3920219)Peak memory usage: 97 MB
% 10.56/2.35 % (3920219)Instructions burned: 907 (million)
% 10.56/2.35 % (3920227)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2001894269:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 10.56/2.35 % (3920222)Instruction limit reached!
% 10.56/2.35 % (3920222)------------------------------
% 10.56/2.35 % (3920222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920222)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920222)Termination reason: Instruction limit
% 10.56/2.35 % (3920222)Termination phase: Saturation
% 10.56/2.35 % (3920222)Time elapsed: 0.254 s
% 10.56/2.35 % (3920222)Peak memory usage: 92 MB
% 10.56/2.35 % (3920222)Instructions burned: 437 (million)
% 10.56/2.35 % (3920227)Instruction limit reached!
% 10.56/2.35 % (3920227)------------------------------
% 10.56/2.35 % (3920227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (3920227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (3920227)CaDiCaL version: 2.1.3
% 10.56/2.35 % (3920227)Termination reason: Instruction limit
% 10.56/2.35 % (3920227)Termination phase: Saturation
% 10.56/2.35 % (3920227)Time elapsed: 0.034 s
% 10.56/2.35 % (3920227)Peak memory usage: 91 MB
% 10.56/2.35 % (3920227)Instructions burned: 136 (million)
% 10.56/2.35 % (3920229)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=755157620:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 10.56/2.35 % (3920191)First to succeed.
% 10.56/2.35 % (3920230)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4128129531:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 10.56/2.35 % (3920191)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3920184"
% 10.56/2.35 % (3920191)Refutation found. Thanks to Tanya!
% 10.56/2.35 % SZS status Theorem for theBenchmark
% 10.56/2.35 % SZS output start Proof for theBenchmark
% See solution above
% 11.09/2.54 % (3920191)------------------------------
% 11.09/2.54 % (3920191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.54 % (3920191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.54 % (3920191)CaDiCaL version: 2.1.3
% 11.09/2.54 % (3920191)Termination reason: Refutation
% 11.09/2.54 % (3920191)Time elapsed: 1.079 s
% 11.09/2.54 % (3920191)Peak memory usage: 137 MB
% 11.09/2.54 % (3920191)Instructions burned: 1698 (million)
% 11.09/2.54 % (3920191)------------------------------
% 11.09/2.54 % (3920191)------------------------------
% 11.09/2.54 % (3920184)Success in time 1.484 s
% 11.09/2.54 % Vampire exiting
%------------------------------------------------------------------------------