%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM507+1 : 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 : 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 12:24:35 PM UTC 2026
% Result : Theorem 4.25s 1.05s
% Output : Refutation 4.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 174 ( 34 unt; 10 def)
% Number of atoms : 588 ( 124 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 732 ( 318 ~; 321 |; 60 &)
% ( 16 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 132 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
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(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
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(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f49,axiom,
( sdtlseqdt0(xr,xk)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(f50,axiom,
( xk != 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)
& 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)
& sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f58,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f57]) ).
fof(f63,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f72,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f73,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f72]) ).
fof(f80,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f81,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f80]) ).
fof(f82,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(f83,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f82]) ).
fof(f85,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f86,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f88,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f87]) ).
fof(f91,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(f92,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,[],[f91]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f104,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f103]) ).
fof(f122,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(ennf_transformation,[],[f52]) ).
fof(f123,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,[],[f81]) ).
fof(f124,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,[],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f124]) ).
fof(f126,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,[],[f83]) ).
fof(f127,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,[],[f126]) ).
fof(f131,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f104]) ).
fof(f132,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f131]) ).
fof(f138,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f142,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f145,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f63]) ).
fof(f156,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f164,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f167,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f169,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f175,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,[],[f92]) ).
fof(f189,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f206,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f207,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f208,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f210,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f212,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f218,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f225,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f227,plain,
sdtlseqdt0(xr,xk),
inference(cnf_transformation,[],[f49]) ).
fof(f228,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f50]) ).
fof(f229,plain,
xp != xk,
inference(cnf_transformation,[],[f50]) ).
fof(f230,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,[],[f122]) ).
fof(f231,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f164]) ).
fof(f232,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,[],[f167]) ).
fof(f239,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f189]) ).
fof(f243,definition,
sF4 = sdtpldt0(xn,xm),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f244,plain,
sdtpldt0(xn,xm) = sF4,
inference(reorient_equations,[],[f243]) ).
fof(f245,definition,
sF5 = sdtpldt0(sF4,xp),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f246,plain,
sdtpldt0(sF4,xp) = sF5,
inference(reorient_equations,[],[f245]) ).
fof(f247,definition,
sF6 = sdtpldt0(sF4,xr),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f248,plain,
sdtpldt0(sF4,xr) = sF6,
inference(reorient_equations,[],[f247]) ).
fof(f249,plain,
( sF5 = sF6
| ~ sdtlseqdt0(sF6,sF5) ),
inference(definition_folding,[],[f230,f246,f244,f248,f244,f248,f244,f246,f244]) ).
fof(f252,definition,
( spl7_1
<=> sdtlseqdt0(sF6,sF5) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f254,plain,
( ~ sdtlseqdt0(sF6,sF5)
| spl7_1 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f256,definition,
( spl7_2
<=> sF5 = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f258,plain,
( sF5 = sF6
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f259,plain,
( ~ spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f249,f256,f252]) ).
fof(f270,definition,
( spl7_5
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f271,plain,
( aNaturalNumber0(sz00)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f279,plain,
spl7_5,
inference(avatar_split_clause,[],[f138,f270]) ).
fof(f282,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f145,f208]) ).
fof(f326,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f141,f244]) ).
fof(f333,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f326,f208]) ).
fof(f335,definition,
( spl7_7
<=> aNaturalNumber0(sF4) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f336,plain,
( aNaturalNumber0(sF4)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f348,plain,
aNaturalNumber0(sF4),
inference(forward_subsumption_resolution,[],[f333,f207]) ).
fof(f349,plain,
spl7_7,
inference(avatar_split_clause,[],[f348,f335]) ).
fof(f427,definition,
( spl7_10
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
fof(f428,plain,
( aNaturalNumber0(xk)
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f429,plain,
( ~ aNaturalNumber0(xk)
| spl7_10 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f460,definition,
( spl7_13
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
fof(f461,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl7_13 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f536,definition,
( spl7_18
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl7_18])],[avatar_definition]) ).
fof(f537,plain,
( sz00 != xp
| spl7_18 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f538,plain,
( sz00 = xp
| ~ spl7_18 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f599,plain,
( ~ sdtlseqdt0(xp,xk)
| xp = xk
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f169,f228]) ).
fof(f789,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f231,f282]) ).
fof(f793,plain,
( sdtlseqdt0(xn,sF4)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sF4) ),
inference(superposition,[],[f231,f244]) ).
fof(f805,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(duplicate_literal_removal,[],[f789]) ).
fof(f812,plain,
( sdtlseqdt0(xn,sF4)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sF4) ),
inference(forward_subsumption_resolution,[],[f793,f207]) ).
fof(f816,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00) ),
inference(forward_subsumption_resolution,[],[f805,f208]) ).
fof(f823,plain,
( sdtlseqdt0(xn,sF4)
| ~ aNaturalNumber0(sF4) ),
inference(forward_subsumption_resolution,[],[f812,f208]) ).
fof(f827,plain,
( sdtlseqdt0(sz00,xn)
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f816,f271]) ).
fof(f830,plain,
( sdtlseqdt0(xn,sF4)
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f823,f336]) ).
fof(f1057,plain,
( sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[],[f239,f210]) ).
fof(f1079,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f170,f228]) ).
fof(f1300,plain,
! [X0] :
( sF6 != sdtpldt0(sF4,X0)
| xr = X0
| ~ aNaturalNumber0(sF4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f156,f248]) ).
fof(f1303,plain,
( ! [X0] :
( sF6 != sdtpldt0(sF4,X0)
| xr = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr) )
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f1300,f336]) ).
fof(f1323,plain,
( ! [X0] :
( sF6 != sdtpldt0(sF4,X0)
| xr = X0
| ~ aNaturalNumber0(X0) )
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f1303,f225]) ).
fof(f1901,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(sF4,X0),sF5)
| ~ aNaturalNumber0(sF4)
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f175,f246]) ).
fof(f1904,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sF4,X0),sF5)
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f1901,f336]) ).
fof(f1931,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(sF4,X0),sF5)
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) )
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f1904,f206]) ).
fof(f2166,plain,
( ~ sdtlseqdt0(xn,sF4)
| ~ aNaturalNumber0(xm)
| xm = sdtmndt0(sF4,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sF4) ),
inference(superposition,[],[f232,f244]) ).
fof(f2188,plain,
( ~ sdtlseqdt0(xn,sF4)
| xm = sdtmndt0(sF4,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sF4) ),
inference(forward_subsumption_resolution,[],[f2166,f207]) ).
fof(f2202,plain,
( ~ sdtlseqdt0(xn,sF4)
| xm = sdtmndt0(sF4,xn)
| ~ aNaturalNumber0(sF4) ),
inference(forward_subsumption_resolution,[],[f2188,f208]) ).
fof(f2214,plain,
( ~ sdtlseqdt0(xn,sF4)
| xm = sdtmndt0(sF4,xn)
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f2202,f336]) ).
fof(f2261,plain,
( xm = sdtmndt0(sF4,xn)
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f2214,f830]) ).
fof(f3607,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl7_13 ),
inference(resolution,[],[f462,f142]) ).
fof(f3608,plain,
( ~ aNaturalNumber0(xm)
| spl7_13 ),
inference(forward_subsumption_resolution,[],[f3607,f208]) ).
fof(f3609,plain,
( $false
| spl7_13 ),
inference(forward_subsumption_resolution,[],[f3608,f207]) ).
fof(f3610,plain,
spl7_13,
inference(avatar_contradiction_clause,[],[f3609]) ).
fof(f3624,plain,
( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl7_18 ),
inference(forward_subsumption_resolution,[],[f1057,f537]) ).
fof(f3639,plain,
( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl7_18 ),
inference(forward_subsumption_resolution,[],[f3624,f206]) ).
fof(f3653,plain,
( aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl7_18 ),
inference(forward_demodulation,[],[f3639,f218]) ).
fof(f3667,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl7_10
| spl7_18 ),
inference(forward_subsumption_resolution,[],[f3653,f429]) ).
fof(f3781,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtmndt0(sF4,xn)))
| ~ spl7_7
| ~ spl7_13 ),
inference(forward_demodulation,[],[f461,f2261]) ).
fof(f3796,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,sdtmndt0(sF4,xn)))
| ~ spl7_7
| spl7_10
| spl7_18 ),
inference(forward_demodulation,[],[f3667,f2261]) ).
fof(f3816,plain,
( $false
| ~ spl7_7
| spl7_10
| ~ spl7_13
| spl7_18 ),
inference(forward_subsumption_resolution,[],[f3796,f3781]) ).
fof(f3817,plain,
( ~ spl7_7
| spl7_10
| ~ spl7_13
| spl7_18 ),
inference(avatar_contradiction_clause,[],[f3816]) ).
fof(f3898,plain,
( ~ sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f599,f229]) ).
fof(f3917,plain,
( ~ sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f3898,f206]) ).
fof(f10482,plain,
( sF5 != sF6
| xp = xr
| ~ aNaturalNumber0(xp)
| ~ spl7_7 ),
inference(superposition,[],[f1323,f246]) ).
fof(f11417,plain,
( ~ sdtlseqdt0(sz00,xn)
| ~ spl7_18 ),
inference(superposition,[],[f212,f538]) ).
fof(f11468,plain,
( $false
| ~ spl7_5
| ~ spl7_18 ),
inference(forward_subsumption_resolution,[],[f11417,f827]) ).
fof(f11469,plain,
( ~ spl7_5
| ~ spl7_18 ),
inference(avatar_contradiction_clause,[],[f11468]) ).
fof(f11619,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl7_10 ),
inference(forward_subsumption_resolution,[],[f1079,f428]) ).
fof(f11628,plain,
( ~ sdtlseqdt0(xp,xk)
| ~ spl7_10 ),
inference(forward_subsumption_resolution,[],[f3917,f428]) ).
fof(f11715,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) )
| ~ spl7_10 ),
inference(forward_subsumption_resolution,[],[f11619,f206]) ).
fof(f13734,plain,
( sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xr)
| ~ spl7_10 ),
inference(resolution,[],[f11715,f227]) ).
fof(f13747,plain,
( sdtlseqdt0(xr,xp)
| ~ spl7_10 ),
inference(forward_subsumption_resolution,[],[f13734,f225]) ).
fof(f16729,plain,
( sdtlseqdt0(sF6,sF5)
| xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xr)
| ~ spl7_7 ),
inference(superposition,[],[f1931,f248]) ).
fof(f16730,plain,
( xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xr)
| spl7_1
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f16729,f254]) ).
fof(f16738,plain,
( xp = xr
| ~ aNaturalNumber0(xr)
| spl7_1
| ~ spl7_7
| ~ spl7_10 ),
inference(forward_subsumption_resolution,[],[f16730,f13747]) ).
fof(f16741,plain,
( xp = xr
| spl7_1
| ~ spl7_7
| ~ spl7_10 ),
inference(forward_subsumption_resolution,[],[f16738,f225]) ).
fof(f16746,plain,
( sdtlseqdt0(xp,xk)
| spl7_1
| ~ spl7_7
| ~ spl7_10 ),
inference(superposition,[],[f227,f16741]) ).
fof(f16784,plain,
( $false
| spl7_1
| ~ spl7_7
| ~ spl7_10 ),
inference(forward_subsumption_resolution,[],[f16746,f11628]) ).
fof(f16785,plain,
( spl7_1
| ~ spl7_7
| ~ spl7_10 ),
inference(avatar_contradiction_clause,[],[f16784]) ).
fof(f16789,plain,
( xp = xr
| ~ aNaturalNumber0(xp)
| ~ spl7_2
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f10482,f258]) ).
fof(f16819,plain,
( xp = xr
| ~ spl7_2
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f16789,f206]) ).
fof(f17001,plain,
( sdtlseqdt0(xp,xk)
| ~ spl7_2
| ~ spl7_7 ),
inference(superposition,[],[f227,f16819]) ).
fof(f17045,plain,
( $false
| ~ spl7_2
| ~ spl7_7
| ~ spl7_10 ),
inference(forward_subsumption_resolution,[],[f17001,f11628]) ).
fof(f17046,plain,
( ~ spl7_2
| ~ spl7_7
| ~ spl7_10 ),
inference(avatar_contradiction_clause,[],[f17045]) ).
cnf(s1,plain,
( ~ spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f259]) ).
cnf(s5,plain,
spl7_5,
inference(sat_conversion,[],[f279]) ).
cnf(s8,plain,
spl7_7,
inference(sat_conversion,[],[f349]) ).
cnf(s86,plain,
spl7_13,
inference(sat_conversion,[],[f3610]) ).
cnf(s96,plain,
( ~ spl7_7
| spl7_10
| ~ spl7_13
| spl7_18 ),
inference(sat_conversion,[],[f3817]) ).
cnf(s268,plain,
( ~ spl7_5
| ~ spl7_18 ),
inference(sat_conversion,[],[f11469]) ).
cnf(s407,plain,
( spl7_1
| ~ spl7_7
| ~ spl7_10 ),
inference(sat_conversion,[],[f16785]) ).
cnf(s423,plain,
( ~ spl7_2
| ~ spl7_7
| ~ spl7_10 ),
inference(sat_conversion,[],[f17046]) ).
cnf(s428,plain,
~ spl7_18,
inference(rat,[],[s268,s5]) ).
cnf(s433,plain,
spl7_10,
inference(rat,[],[s96,s8,s86,s428]) ).
cnf(s440,plain,
~ spl7_2,
inference(rat,[],[s423,s8,s433]) ).
cnf(s441,plain,
spl7_1,
inference(rat,[],[s407,s8,s433]) ).
cnf(s470,plain,
$false,
inference(rat,[],[s1,s440,s441]) ).
fof(f17047,plain,
$false,
inference(avatar_sat_refutation,[],[s470]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM507+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 20:21:01 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 4.25/1.05 % (3923081)Will run a generic schedule for satisfiability detection.
% 4.25/1.05 % (3923090)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2517431836:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.25/1.05 % (3923087)% WARNING: option uhcvi not known.
% 4.25/1.05 % (3923086)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1741980104_2999 on theBenchmark for (2999ds/0Mi)
% 4.25/1.05 % (3923088)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1351195439:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.25/1.05 % (3923089)dis+10_1_sil=32000:sp=arity:random_seed=1937596304:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.25/1.05 % (3923092)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3731701493:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.25/1.05 % (3923091)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3818663606:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.25/1.05 % (3923087)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=135035500:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.25/1.05 % Detected minimum model sizes of [3]
% 4.25/1.05 % Detected maximum model sizes of [max]
% 4.25/1.05 % TRYING [3]
% 4.25/1.05 % TRYING [4]
% 4.25/1.05 % (3923090)Instruction limit reached!
% 4.25/1.05 % (3923090)------------------------------
% 4.25/1.05 % (3923090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923090)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923090)Termination reason: Instruction limit
% 4.25/1.05 % (3923090)Termination phase: Saturation
% 4.25/1.05 % (3923090)Time elapsed: 0.036 s
% 4.25/1.05 % (3923090)Peak memory usage: 13 MB
% 4.25/1.05 % (3923090)Instructions burned: 118 (million)
% 4.25/1.05 % (3923100)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2110570770:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.25/1.05 % TRYING [5]
% 4.25/1.05 % Detected minimum model sizes of [3]
% 4.25/1.05 % Detected maximum model sizes of [max]
% 4.25/1.05 % TRYING [3]
% 4.25/1.05 % TRYING [4]
% 4.25/1.05 % (3923089)Instruction limit reached!
% 4.25/1.05 % (3923089)------------------------------
% 4.25/1.05 % (3923089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923089)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923089)Termination reason: Instruction limit
% 4.25/1.05 % (3923089)Termination phase: Saturation
% 4.25/1.05 % (3923089)Time elapsed: 0.063 s
% 4.25/1.05 % (3923089)Peak memory usage: 12 MB
% 4.25/1.05 % (3923089)Instructions burned: 105 (million)
% 4.25/1.05 % TRYING [5]
% 4.25/1.05 % (3923091)Instruction limit reached!
% 4.25/1.05 % (3923091)------------------------------
% 4.25/1.05 % (3923091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923091)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923091)Termination reason: Instruction limit
% 4.25/1.05 % (3923091)Termination phase: Saturation
% 4.25/1.05 % (3923091)Time elapsed: 0.077 s
% 4.25/1.05 % (3923091)Peak memory usage: 14 MB
% 4.25/1.05 % (3923091)Instructions burned: 132 (million)
% 4.25/1.05 % (3923102)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=217235527:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.25/1.05 % (3923092)Instruction limit reached!
% 4.25/1.05 % (3923092)------------------------------
% 4.25/1.05 % (3923092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923092)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923092)Termination reason: Instruction limit
% 4.25/1.05 % (3923092)Termination phase: Saturation
% 4.25/1.05 % (3923092)Time elapsed: 0.093 s
% 4.25/1.05 % (3923092)Peak memory usage: 14 MB
% 4.25/1.05 % (3923092)Instructions burned: 159 (million)
% 4.25/1.05 % (3923103)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=40209245:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.25/1.05 % TRYING [6]
% 4.25/1.05 % (3923105)ott-21_1_sil=16000:fs=off:random_seed=4053408927:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.25/1.05 % TRYING [6]
% 4.25/1.05 % (3923102)Instruction limit reached!
% 4.25/1.05 % (3923102)------------------------------
% 4.25/1.05 % (3923102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923102)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923102)Termination reason: Instruction limit
% 4.25/1.05 % (3923102)Termination phase: Saturation
% 4.25/1.05 % (3923102)Time elapsed: 0.068 s
% 4.25/1.05 % (3923102)Peak memory usage: 12 MB
% 4.25/1.05 % (3923102)Instructions burned: 132 (million)
% 4.25/1.05 % (3923108)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1119401474:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.25/1.05 % (3923100)Instruction limit reached!
% 4.25/1.05 % (3923100)------------------------------
% 4.25/1.05 % (3923100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923100)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923100)Termination reason: Instruction limit
% 4.25/1.05 % (3923100)Termination phase: Finite model building constraint generation
% 4.25/1.05 % (3923100)Time elapsed: 0.139 s
% 4.25/1.05 % (3923100)Peak memory usage: 34 MB
% 4.25/1.05 % (3923100)Instructions burned: 717 (million)
% 4.25/1.05 % (3923110)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1718531098:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.25/1.05 % Detected minimum model sizes of [3]
% 4.25/1.05 % Detected maximum model sizes of [max]
% 4.25/1.05 % TRYING [3]
% 4.25/1.05 % TRYING [4]
% 4.25/1.05 % (3923105)Instruction limit reached!
% 4.25/1.05 % (3923105)------------------------------
% 4.25/1.05 % (3923105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923105)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923105)Termination reason: Instruction limit
% 4.25/1.05 % (3923105)Termination phase: Saturation
% 4.25/1.05 % (3923105)Time elapsed: 0.094 s
% 4.25/1.05 % (3923105)Peak memory usage: 13 MB
% 4.25/1.05 % (3923105)Instructions burned: 180 (million)
% 4.25/1.05 % (3923112)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=970784799:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.25/1.05 % TRYING [5]
% 4.25/1.05 % TRYING [7]
% 4.25/1.05 % TRYING [6]
% 4.25/1.05 % (3923110)Instruction limit reached!
% 4.25/1.05 % (3923110)------------------------------
% 4.25/1.05 % (3923110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923110)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923110)Termination reason: Instruction limit
% 4.25/1.05 % (3923110)Termination phase: Finite model building constraint generation
% 4.25/1.05 % (3923110)Time elapsed: 0.193 s
% 4.25/1.05 % (3923110)Peak memory usage: 22 MB
% 4.25/1.05 % (3923110)Instructions burned: 871 (million)
% 4.25/1.05 % (3923114)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4210818772:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.25/1.05 % (3923108)Instruction limit reached!
% 4.25/1.05 % (3923108)------------------------------
% 4.25/1.05 % (3923108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923108)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923108)Termination reason: Instruction limit
% 4.25/1.05 % (3923108)Termination phase: Saturation
% 4.25/1.05 % (3923108)Time elapsed: 0.311 s
% 4.25/1.05 % (3923108)Peak memory usage: 15 MB
% 4.25/1.05 % (3923108)Instructions burned: 478 (million)
% 4.25/1.05 % (3923103)Instruction limit reached!
% 4.25/1.05 % (3923103)------------------------------
% 4.25/1.05 % (3923103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923103)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923103)Termination reason: Instruction limit
% 4.25/1.05 % (3923103)Termination phase: Saturation
% 4.25/1.05 % (3923103)Time elapsed: 0.392 s
% 4.25/1.05 % (3923103)Peak memory usage: 18 MB
% 4.25/1.05 % (3923103)Instructions burned: 685 (million)
% 4.25/1.05 % TRYING [14]
% 4.25/1.05 % (3923116)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=617187003: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)
% 4.25/1.05 % (3923117)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=137684033:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 4.25/1.05 % (3923114)Instruction limit reached!
% 4.25/1.05 % (3923114)------------------------------
% 4.25/1.05 % (3923114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923114)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923114)Termination reason: Instruction limit
% 4.25/1.05 % (3923114)Termination phase: Finite model building constraint generation
% 4.25/1.05 % (3923114)Time elapsed: 0.194 s
% 4.25/1.05 % (3923114)Peak memory usage: 80 MB
% 4.25/1.05 % (3923114)Instructions burned: 891 (million)
% 4.25/1.05 % (3923112) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3923081-3923112"...
% 4.25/1.05 % (3923112)...printing done.
% 4.25/1.05 % (3923112)Refutation found. Thanks to Tanya!
% 4.25/1.05 % SZS status Theorem for theBenchmark
% 4.25/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 4.25/1.05 % (3923112)------------------------------
% 4.25/1.05 % (3923112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.05 % (3923112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.05 % (3923112)CaDiCaL version: 2.1.3
% 4.25/1.05 % (3923112)Termination reason: Refutation
% 4.25/1.05 % (3923112)Time elapsed: 0.375 s
% 4.25/1.05 % (3923112)Peak memory usage: 19 MB
% 4.25/1.05 % (3923112)Instructions burned: 651 (million)
% 4.25/1.05 % (3923081)Success in time 0.643 s
% 4.25/1.05 % Vampire exiting
%------------------------------------------------------------------------------