%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM507+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:24:35 PM UTC 2026
% Result : Theorem 6.36s 1.50s
% Output : Refutation 7.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 23
% Syntax : Number of formulae : 155 ( 29 unt; 10 def)
% Number of atoms : 581 ( 123 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 739 ( 313 ~; 303 |; 95 &)
% ( 13 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn 103 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
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(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X0,X1)
& X1 != sz00 )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f45,axiom,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f47,axiom,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(X0,X1) )
| doDivides0(X0,xr) ) )
=> ( X0 = sz10
| X0 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f50,axiom,
( xk != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xk,X0) = xp )
& sdtlseqdt0(xk,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2377) ).
fof(f51,conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f52,negated_conjecture,
~ ( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f58,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = xr )
| doDivides0(X1,xr) ) )
=> ( sz10 = X1
| xr = X1 ) )
& isPrime0(xr) ),
inference(rectify,[],[f48]) ).
fof(f60,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f61,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f60]) ).
fof(f85,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f86,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f85]) ).
fof(f87,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(f88,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f87]) ).
fof(f90,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f91,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f93,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f92]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f96]) ).
fof(f116,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f117,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f116]) ).
fof(f131,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(ennf_transformation,[],[f58]) ).
fof(f132,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(flattening,[],[f131]) ).
fof(f133,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr)
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0) )
& ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f137,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f86]) ).
fof(f138,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK2(X0,X1))
& sdtpldt0(X0,sK2(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1))],[f138]) ).
fof(f140,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,[],[f88]) ).
fof(f141,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,[],[f140]) ).
fof(f162,plain,
( aNaturalNumber0(xr)
& aNaturalNumber0(sK13)
& xk = sdtasdt0(xr,sK13)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f132]) ).
fof(f164,plain,
( xk != xp
& aNaturalNumber0(sK16)
& xp = sdtpldt0(xk,sK16)
& sdtlseqdt0(xk,xp) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f50]) ).
fof(f168,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f191,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f194,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f196,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f202,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f221,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f233,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f234,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f235,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f274,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f278,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f284,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f162]) ).
fof(f287,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f162]) ).
fof(f293,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f164]) ).
fof(f296,plain,
xp != xk,
inference(cnf_transformation,[],[f164]) ).
fof(f297,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f299,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f191]) ).
fof(f300,plain,
! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f194]) ).
fof(f311,definition,
sF17 = sdtpldt0(xn,xm),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f312,plain,
sdtpldt0(xn,xm) = sF17,
inference(reorient_equations,[],[f311]) ).
fof(f313,definition,
sF18 = sdtpldt0(sF17,xp),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f314,plain,
sdtpldt0(sF17,xp) = sF18,
inference(reorient_equations,[],[f313]) ).
fof(f315,definition,
sF19 = sdtpldt0(sF17,xr),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f316,plain,
sdtpldt0(sF17,xr) = sF19,
inference(reorient_equations,[],[f315]) ).
fof(f320,plain,
( sF18 = sF19
| ~ sdtlseqdt0(sF19,sF18) ),
inference(definition_folding,[],[f297,f314,f312,f316,f312,f316,f312,f314,f312]) ).
fof(f323,definition,
( spl21_1
<=> sdtlseqdt0(sF19,sF18) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f325,plain,
( ~ sdtlseqdt0(sF19,sF18)
| spl21_1 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl21_2
<=> sF18 = sF19 ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f329,plain,
( sF18 = sF19
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f330,plain,
( ~ spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f320,f327,f323]) ).
fof(f459,plain,
( aNaturalNumber0(sF17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f168,f312]) ).
fof(f463,plain,
( aNaturalNumber0(sF18)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f168,f314]) ).
fof(f464,plain,
( aNaturalNumber0(sF19)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f168,f316]) ).
fof(f469,definition,
( spl21_8
<=> aNaturalNumber0(sF18) ),
introduced(definition,[new_symbols(definition,[spl21_8])],[avatar_definition]) ).
fof(f470,plain,
( aNaturalNumber0(sF18)
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f476,plain,
( aNaturalNumber0(sF19)
| ~ aNaturalNumber0(sF17) ),
inference(forward_subsumption_resolution,[],[f464,f287]) ).
fof(f477,plain,
( aNaturalNumber0(sF18)
| ~ aNaturalNumber0(sF17) ),
inference(forward_subsumption_resolution,[],[f463,f233]) ).
fof(f478,plain,
( aNaturalNumber0(sF17)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f459,f235]) ).
fof(f482,definition,
( spl21_10
<=> aNaturalNumber0(sF17) ),
introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).
fof(f483,plain,
( aNaturalNumber0(sF17)
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f485,plain,
( ~ spl21_10
| spl21_8 ),
inference(avatar_split_clause,[],[f477,f469,f482]) ).
fof(f486,plain,
aNaturalNumber0(sF17),
inference(forward_subsumption_resolution,[],[f478,f234]) ).
fof(f488,plain,
spl21_10,
inference(avatar_split_clause,[],[f486,f482]) ).
fof(f490,definition,
( spl21_11
<=> aNaturalNumber0(sF19) ),
introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition]) ).
fof(f491,plain,
( aNaturalNumber0(sF19)
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f494,plain,
( aNaturalNumber0(sF19)
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f476,f483]) ).
fof(f495,plain,
( spl21_11
| ~ spl21_10 ),
inference(avatar_split_clause,[],[f494,f482,f490]) ).
fof(f1099,plain,
( ~ sdtlseqdt0(xp,xk)
| xp = xk
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f196,f293]) ).
fof(f1108,plain,
( ~ sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f1099,f296]) ).
fof(f1112,plain,
( ~ sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f1108,f233]) ).
fof(f1114,plain,
~ sdtlseqdt0(xp,xk),
inference(forward_subsumption_resolution,[],[f1112,f274]) ).
fof(f1152,plain,
( sdtlseqdt0(xr,xk)
| sz00 = xk
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f221,f284]) ).
fof(f1233,plain,
( sdtlseqdt0(sF17,sF18)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(sF18) ),
inference(superposition,[],[f299,f314]) ).
fof(f1234,plain,
( sdtlseqdt0(sF17,sF19)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(sF19) ),
inference(superposition,[],[f299,f316]) ).
fof(f1250,plain,
( sdtlseqdt0(sF17,sF19)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(sF19) ),
inference(forward_subsumption_resolution,[],[f1234,f287]) ).
fof(f1251,plain,
( sdtlseqdt0(sF17,sF18)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(sF18) ),
inference(forward_subsumption_resolution,[],[f1233,f233]) ).
fof(f1265,plain,
( sdtlseqdt0(sF17,sF19)
| ~ aNaturalNumber0(sF19)
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f1250,f483]) ).
fof(f1266,plain,
( sdtlseqdt0(sF17,sF18)
| ~ aNaturalNumber0(sF18)
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f1251,f483]) ).
fof(f1275,plain,
( sdtlseqdt0(sF17,sF19)
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f1265,f491]) ).
fof(f1276,plain,
( sdtlseqdt0(sF17,sF18)
| ~ spl21_8
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f1266,f470]) ).
fof(f1761,definition,
( spl21_71
<=> xp = xr ),
introduced(definition,[new_symbols(definition,[spl21_71])],[avatar_definition]) ).
fof(f1762,plain,
( xp != xr
| spl21_71 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f1763,plain,
( xp = xr
| ~ spl21_71 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f1819,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f197,f293]) ).
fof(f1834,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f1819,f274]) ).
fof(f1845,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1834,f233]) ).
fof(f2909,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(sF17,X0),sF18)
| ~ aNaturalNumber0(sF17)
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f202,f314]) ).
fof(f2916,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sF17,X0),sF18)
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f2909,f483]) ).
fof(f2955,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sF17,X0),sF18)
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) )
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f2916,f233]) ).
fof(f3130,plain,
( ~ sdtlseqdt0(sF17,sF18)
| ~ aNaturalNumber0(xp)
| xp = sdtmndt0(sF18,sF17)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(sF18) ),
inference(superposition,[],[f300,f314]) ).
fof(f3131,plain,
( ~ sdtlseqdt0(sF17,sF19)
| ~ aNaturalNumber0(xr)
| xr = sdtmndt0(sF19,sF17)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(sF19) ),
inference(superposition,[],[f300,f316]) ).
fof(f3147,plain,
( ~ aNaturalNumber0(xr)
| xr = sdtmndt0(sF19,sF17)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(sF19)
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f3131,f1275]) ).
fof(f3148,plain,
( ~ aNaturalNumber0(xp)
| xp = sdtmndt0(sF18,sF17)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(sF18)
| ~ spl21_8
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f3130,f1276]) ).
fof(f3166,plain,
( xr = sdtmndt0(sF19,sF17)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(sF19)
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f3147,f287]) ).
fof(f3167,plain,
( xp = sdtmndt0(sF18,sF17)
| ~ aNaturalNumber0(sF17)
| ~ aNaturalNumber0(sF18)
| ~ spl21_8
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f3148,f233]) ).
fof(f3182,plain,
( xr = sdtmndt0(sF19,sF17)
| ~ aNaturalNumber0(sF19)
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f3166,f483]) ).
fof(f3183,plain,
( xp = sdtmndt0(sF18,sF17)
| ~ aNaturalNumber0(sF18)
| ~ spl21_8
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f3167,f483]) ).
fof(f3196,plain,
( xr = sdtmndt0(sF19,sF17)
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f3182,f491]) ).
fof(f3197,plain,
( xp = sdtmndt0(sF18,sF17)
| ~ spl21_8
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f3183,f470]) ).
fof(f5863,definition,
( spl21_176
<=> sdtlseqdt0(xr,xk) ),
introduced(definition,[new_symbols(definition,[spl21_176])],[avatar_definition]) ).
fof(f5865,plain,
( sdtlseqdt0(xr,xk)
| ~ spl21_176 ),
inference(avatar_component_clause,[],[f5863]) ).
fof(f5868,plain,
( sdtlseqdt0(xr,xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f1152,f278]) ).
fof(f5902,plain,
( sdtlseqdt0(xr,xk)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f5868,f287]) ).
fof(f5918,plain,
sdtlseqdt0(xr,xk),
inference(forward_subsumption_resolution,[],[f5902,f274]) ).
fof(f5921,plain,
spl21_176,
inference(avatar_split_clause,[],[f5918,f5863]) ).
fof(f15271,plain,
( sdtlseqdt0(xp,xk)
| ~ spl21_71
| ~ spl21_176 ),
inference(superposition,[],[f5865,f1763]) ).
fof(f15272,plain,
( $false
| ~ spl21_71
| ~ spl21_176 ),
inference(forward_subsumption_resolution,[],[f15271,f1114]) ).
fof(f15273,plain,
( ~ spl21_71
| ~ spl21_176 ),
inference(avatar_contradiction_clause,[],[f15272]) ).
fof(f15466,plain,
( xr = sdtmndt0(sF18,sF17)
| ~ spl21_2
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f3196,f329]) ).
fof(f15467,plain,
( xp = xr
| ~ spl21_2
| ~ spl21_8
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f15466,f3197]) ).
fof(f15477,plain,
( $false
| ~ spl21_2
| ~ spl21_8
| ~ spl21_10
| ~ spl21_11
| spl21_71 ),
inference(forward_subsumption_resolution,[],[f15467,f1762]) ).
fof(f15478,plain,
( ~ spl21_2
| ~ spl21_8
| ~ spl21_10
| ~ spl21_11
| spl21_71 ),
inference(avatar_contradiction_clause,[],[f15477]) ).
fof(f18672,plain,
( sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xr)
| ~ spl21_176 ),
inference(resolution,[],[f1845,f5865]) ).
fof(f18682,plain,
( sdtlseqdt0(xr,xp)
| ~ spl21_176 ),
inference(forward_subsumption_resolution,[],[f18672,f287]) ).
fof(f30301,plain,
( sdtlseqdt0(sF19,sF18)
| xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xr)
| ~ spl21_10 ),
inference(superposition,[],[f2955,f316]) ).
fof(f30303,plain,
( xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xr)
| spl21_1
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f30301,f325]) ).
fof(f30311,plain,
( ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xr)
| spl21_1
| ~ spl21_10
| spl21_71 ),
inference(forward_subsumption_resolution,[],[f30303,f1762]) ).
fof(f30314,plain,
( ~ aNaturalNumber0(xr)
| spl21_1
| ~ spl21_10
| spl21_71
| ~ spl21_176 ),
inference(forward_subsumption_resolution,[],[f30311,f18682]) ).
fof(f30315,plain,
( $false
| spl21_1
| ~ spl21_10
| spl21_71
| ~ spl21_176 ),
inference(forward_subsumption_resolution,[],[f30314,f287]) ).
fof(f30316,plain,
( spl21_1
| ~ spl21_10
| spl21_71
| ~ spl21_176 ),
inference(avatar_contradiction_clause,[],[f30315]) ).
cnf(s1,plain,
( ~ spl21_1
| spl21_2 ),
inference(sat_conversion,[],[f330]) ).
cnf(s9,plain,
( spl21_8
| ~ spl21_10 ),
inference(sat_conversion,[],[f485]) ).
cnf(s11,plain,
spl21_10,
inference(sat_conversion,[],[f488]) ).
cnf(s13,plain,
( ~ spl21_10
| spl21_11 ),
inference(sat_conversion,[],[f495]) ).
cnf(s145,plain,
spl21_176,
inference(sat_conversion,[],[f5921]) ).
cnf(s340,plain,
( ~ spl21_71
| ~ spl21_176 ),
inference(sat_conversion,[],[f15273]) ).
cnf(s344,plain,
( ~ spl21_2
| ~ spl21_8
| ~ spl21_10
| ~ spl21_11
| spl21_71 ),
inference(sat_conversion,[],[f15478]) ).
cnf(s729,plain,
( spl21_1
| ~ spl21_10
| spl21_71
| ~ spl21_176 ),
inference(sat_conversion,[],[f30316]) ).
cnf(s778,plain,
~ spl21_71,
inference(rat,[],[s340,s145]) ).
cnf(s802,plain,
spl21_1,
inference(rat,[],[s729,s145,s778,s11]) ).
cnf(s805,plain,
spl21_11,
inference(rat,[],[s13,s11]) ).
cnf(s809,plain,
spl21_8,
inference(rat,[],[s9,s11]) ).
cnf(s816,plain,
~ spl21_2,
inference(rat,[],[s344,s778,s805,s11,s809]) ).
cnf(s956,plain,
$false,
inference(rat,[],[s1,s816,s802]) ).
fof(f30317,plain,
$false,
inference(avatar_sat_refutation,[],[s956]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM507+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n007.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 20:12:55 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.42 Running first-order model finding
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.36/1.50 % (1753206)Will run a generic schedule for satisfiability detection.
% 6.36/1.50 % (1753211)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2912780945_2999 on theBenchmark for (2999ds/0Mi)
% 6.36/1.50 % (1753212)% WARNING: option uhcvi not known.
% 6.36/1.50 % Detected minimum model sizes of [4]
% 6.36/1.50 % Detected maximum model sizes of [max]
% 6.36/1.50 % TRYING [4]
% 6.36/1.50 % (1753212)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2092625184:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.36/1.50 % (1753213)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=757756670:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.36/1.50 % (1753214)dis+10_1_sil=32000:sp=arity:random_seed=1911055231:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.36/1.50 % (1753216)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2999958615:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.36/1.50 % (1753215)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2610514674:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.36/1.50 % (1753217)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=159908742:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.36/1.50 % TRYING [5]
% 6.36/1.50 % (1753214)Instruction limit reached!
% 6.36/1.50 % (1753214)------------------------------
% 6.36/1.50 % (1753214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753214)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753214)Termination reason: Instruction limit
% 6.36/1.50 % (1753214)Termination phase: Saturation
% 6.36/1.50 % (1753214)Time elapsed: 0.057 s
% 6.36/1.50 % (1753214)Peak memory usage: 12 MB
% 6.36/1.50 % (1753214)Instructions burned: 103 (million)
% 6.36/1.50 % (1753215)Instruction limit reached!
% 6.36/1.50 % (1753215)------------------------------
% 6.36/1.50 % (1753215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753215)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753215)Termination reason: Instruction limit
% 6.36/1.50 % (1753215)Termination phase: Saturation
% 6.36/1.50 % (1753215)Time elapsed: 0.065 s
% 6.36/1.50 % (1753215)Peak memory usage: 13 MB
% 6.36/1.50 % (1753215)Instructions burned: 121 (million)
% 6.36/1.50 % (1753216)Instruction limit reached!
% 6.36/1.50 % (1753216)------------------------------
% 6.36/1.50 % (1753216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753216)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753216)Termination reason: Instruction limit
% 6.36/1.50 % (1753216)Termination phase: Saturation
% 6.36/1.50 % (1753216)Time elapsed: 0.070 s
% 6.36/1.50 % (1753216)Peak memory usage: 13 MB
% 6.36/1.50 % (1753216)Instructions burned: 133 (million)
% 6.36/1.50 % TRYING [6]
% 6.36/1.50 % (1753225)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1534842037:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.36/1.50 % (1753226)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1643379591:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.36/1.50 % Detected minimum model sizes of [4]
% 6.36/1.50 % Detected maximum model sizes of [max]
% 6.36/1.50 % TRYING [4]
% 6.36/1.50 % (1753227)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2326286533:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.36/1.50 % (1753217)Instruction limit reached!
% 6.36/1.50 % (1753217)------------------------------
% 6.36/1.50 % (1753217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753217)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753217)Termination reason: Instruction limit
% 6.36/1.50 % (1753217)Termination phase: Saturation
% 6.36/1.50 % (1753217)Time elapsed: 0.089 s
% 6.36/1.50 % (1753217)Peak memory usage: 15 MB
% 6.36/1.50 % (1753217)Instructions burned: 159 (million)
% 6.36/1.50 % (1753231)ott-21_1_sil=16000:fs=off:random_seed=2624110695:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.36/1.50 % TRYING [5]
% 6.36/1.50 % (1753226)Instruction limit reached!
% 6.36/1.50 % (1753226)------------------------------
% 6.36/1.50 % (1753226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753226)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753226)Termination reason: Instruction limit
% 6.36/1.50 % (1753226)Termination phase: Saturation
% 6.36/1.50 % (1753226)Time elapsed: 0.063 s
% 6.36/1.50 % (1753226)Peak memory usage: 12 MB
% 6.36/1.50 % (1753226)Instructions burned: 133 (million)
% 6.36/1.50 % (1753233)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3697192575:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.36/1.50 % TRYING [7]
% 6.36/1.50 % (1753231)Instruction limit reached!
% 6.36/1.50 % (1753231)------------------------------
% 6.36/1.50 % (1753231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753231)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753231)Termination reason: Instruction limit
% 6.36/1.50 % (1753231)Termination phase: Saturation
% 6.36/1.50 % (1753231)Time elapsed: 0.093 s
% 6.36/1.50 % (1753231)Peak memory usage: 13 MB
% 6.36/1.50 % (1753231)Instructions burned: 180 (million)
% 6.36/1.50 % TRYING [6]
% 6.36/1.50 % (1753235)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1294620142:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.36/1.50 % Detected minimum model sizes of [4]
% 6.36/1.50 % Detected maximum model sizes of [max]
% 6.36/1.50 % TRYING [4]
% 6.36/1.50 % (1753225)Instruction limit reached!
% 6.36/1.50 % (1753225)------------------------------
% 6.36/1.50 % (1753225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753225)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753225)Termination reason: Instruction limit
% 6.36/1.50 % (1753225)Termination phase: Finite model building constraint generation
% 6.36/1.50 % (1753225)Time elapsed: 0.256 s
% 6.36/1.50 % (1753225)Peak memory usage: 33 MB
% 6.36/1.50 % (1753225)Instructions burned: 714 (million)
% 6.36/1.50 % TRYING [5]
% 6.36/1.50 % (1753237)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1186292544:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 6.36/1.50 % TRYING [8]
% 6.36/1.50 % (1753233)Instruction limit reached!
% 6.36/1.50 % (1753233)------------------------------
% 6.36/1.50 % (1753233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753233)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753233)Termination reason: Instruction limit
% 6.36/1.50 % (1753233)Termination phase: Saturation
% 6.36/1.50 % (1753233)Time elapsed: 0.301 s
% 6.36/1.50 % (1753233)Peak memory usage: 14 MB
% 6.36/1.50 % (1753233)Instructions burned: 478 (million)
% 6.36/1.50 % (1753227)Instruction limit reached!
% 6.36/1.50 % (1753227)------------------------------
% 6.36/1.50 % (1753227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753227)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753227)Termination reason: Instruction limit
% 6.36/1.50 % (1753227)Termination phase: Saturation
% 6.36/1.50 % (1753227)Time elapsed: 0.384 s
% 6.36/1.50 % (1753227)Peak memory usage: 18 MB
% 6.36/1.50 % (1753227)Instructions burned: 685 (million)
% 6.36/1.50 % (1753239)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1324057576:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.36/1.50 % (1753240)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3850492461:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.36/1.50 % (1753235)Instruction limit reached!
% 6.36/1.50 % (1753235)------------------------------
% 6.36/1.50 % (1753235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753235)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753235)Termination reason: Instruction limit
% 6.36/1.50 % (1753235)Termination phase: Finite model building SAT solving
% 6.36/1.50 % (1753235)Time elapsed: 0.359 s
% 6.36/1.50 % (1753235)Peak memory usage: 24 MB
% 6.36/1.50 % (1753235)Instructions burned: 867 (million)
% 6.36/1.50 % (1753243)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3578828205:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.36/1.50 % TRYING [14]
% 6.36/1.50 % (1753239)Instruction limit reached!
% 6.36/1.50 % (1753239)------------------------------
% 6.36/1.50 % (1753239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753239)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753239)Termination reason: Instruction limit
% 6.36/1.50 % (1753239)Termination phase: Finite model building constraint generation
% 6.36/1.50 % (1753239)Time elapsed: 0.344 s
% 6.36/1.50 % (1753239)Peak memory usage: 76 MB
% 6.36/1.50 % (1753239)Instructions burned: 890 (million)
% 6.36/1.50 % (1753240)Instruction limit reached!
% 6.36/1.50 % (1753240)------------------------------
% 6.36/1.50 % (1753240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.50 % (1753240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.50 % (1753240)CaDiCaL version: 2.1.3
% 6.36/1.50 % (1753240)Termination reason: Instruction limit
% 6.36/1.50 % (1753240)Termination phase: Saturation
% 6.36/1.50 % (1753240)Time elapsed: 0.361 s
% 6.36/1.50 % (1753240)Peak memory usage: 19 MB
% 6.36/1.50 % (1753240)Instructions burned: 694 (million)
% 6.36/1.50 % (1753245)fmb+10_1_sil=64000:random_seed=1245711684:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 6.36/1.50 % Detected minimum model sizes of [4]
% 6.36/1.50 % Detected maximum model sizes of [max]
% 6.36/1.50 % (1753246)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2172528228:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 6.36/1.50 % TRYING [4]
% 6.36/1.50 % Detected minimum model sizes of [4]
% 6.36/1.50 % Detected maximum model sizes of [max]
% 6.36/1.50 % TRYING [20]
% 6.36/1.50 % TRYING [9]
% 6.36/1.50 % TRYING [5]
% 6.36/1.50 % (1753237) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1753206-1753237"...
% 6.36/1.50 % (1753237)...printing done.
% 6.36/1.50 % (1753237)Refutation found. Thanks to Tanya!
% 6.36/1.50 % SZS status Theorem for theBenchmark
% 6.36/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 7.58/1.50 % (1753237)------------------------------
% 7.58/1.50 % (1753237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.58/1.50 % (1753237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.50 % (1753237)CaDiCaL version: 2.1.3
% 7.58/1.50 % (1753237)Termination reason: Refutation
% 7.58/1.50 % (1753237)Time elapsed: 0.653 s
% 7.58/1.50 % (1753237)Peak memory usage: 24 MB
% 7.58/1.50 % (1753237)Instructions burned: 1157 (million)
% 7.58/1.50 % (1753206)Success in time 1.066 s
% 7.58/1.50 % Vampire exiting
%------------------------------------------------------------------------------