%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM506+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 : n014.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 133.54s 39.42s
% Output : Refutation 133.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 37
% Syntax : Number of formulae : 262 ( 46 unt; 12 def)
% Number of atoms : 1138 ( 211 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1503 ( 627 ~; 740 |; 88 &)
% ( 21 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 233 ( 0 sgn 228 !; 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(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
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(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X0 = sz00
& X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
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(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
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(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
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(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(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( isPrime0(X2)
& doDivides0(X2,sdtasdt0(X0,X1)) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X2,X0)
| doDivides0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(f44,axiom,
( xn != xp
& sdtlseqdt0(xn,xp)
& xm != xp
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f45,axiom,
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)
& 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(f51,conjecture,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f52,negated_conjecture,
~ ( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
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(f69,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
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(f76,plain,
! [X0,X1] :
( ( X0 = sz00
& X1 = sz00 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f77,plain,
! [X0,X1] :
( ( X0 = sz00
& X1 = sz00 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f76]) ).
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(f89,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f90,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f89]) ).
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(f93,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f93]) ).
fof(f99,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f100,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f102,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f101]) ).
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(f119,plain,
! [X0,X1,X2] :
( doDivides0(X2,X0)
| doDivides0(X2,X1)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f120,plain,
! [X0,X1,X2] :
( doDivides0(X2,X0)
| doDivides0(X2,X1)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f119]) ).
fof(f122,plain,
( ~ doDivides0(xr,xn)
& ~ doDivides0(xr,xm) ),
inference(ennf_transformation,[],[f52]) ).
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(f128,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,[],[f102]) ).
fof(f129,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,[],[f128]) ).
fof(f130,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))],[f129]) ).
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(f152,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f69]) ).
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(f160,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f165,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f166,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f169,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f170,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f171,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f90]) ).
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(f177,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f178,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f179,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f184,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f187,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f188,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f132]) ).
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(f209,plain,
! [X2,X0,X1] :
( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f210,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f213,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f214,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f216,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f217,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f218,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f222,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f223,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f224,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f225,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f226,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f49]) ).
fof(f227,plain,
sdtlseqdt0(xr,xk),
inference(cnf_transformation,[],[f49]) ).
fof(f230,plain,
~ doDivides0(xr,xm),
inference(cnf_transformation,[],[f122]) ).
fof(f231,plain,
~ doDivides0(xr,xn),
inference(cnf_transformation,[],[f122]) ).
fof(f234,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f166]) ).
fof(f235,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f165]) ).
fof(f238,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f187]) ).
fof(f240,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f189]) ).
fof(f241,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f188]) ).
fof(f300,plain,
sz00 = sdtasdt0(xr,sz00),
inference(resolution,[],[f152,f225]) ).
fof(f478,definition,
( spl4_5
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f479,plain,
( aNaturalNumber0(xk)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f480,plain,
( ~ aNaturalNumber0(xk)
| spl4_5 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f526,plain,
( doDivides0(xr,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f238,f300]) ).
fof(f527,plain,
( doDivides0(xr,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xr) ),
inference(duplicate_literal_removal,[],[f526]) ).
fof(f544,plain,
( doDivides0(xr,sz00)
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[],[f527,f138]) ).
fof(f561,plain,
doDivides0(xr,sz00),
inference(forward_subsumption_resolution,[],[f544,f225]) ).
fof(f641,plain,
( xp = sdtpldt0(xm,sdtmndt0(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f235,f214]) ).
fof(f651,plain,
( xp = sdtpldt0(xm,sdtmndt0(xp,xm))
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f641,f207]) ).
fof(f660,plain,
xp = sdtpldt0(xm,sdtmndt0(xp,xm)),
inference(forward_subsumption_resolution,[],[f651,f206]) ).
fof(f679,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f240,f218]) ).
fof(f680,plain,
( sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f679,f480]) ).
fof(f681,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f680,f210]) ).
fof(f682,plain,
( sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f681,f206]) ).
fof(f701,plain,
! [X0] :
( ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f170,f213]) ).
fof(f710,plain,
! [X0] :
( ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f701,f206]) ).
fof(f712,plain,
! [X0] :
( ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f710,f207]) ).
fof(f1008,definition,
( spl4_8
<=> sz00 = xn ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f1009,plain,
( sz00 != xn
| spl4_8 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1010,plain,
( sz00 = xn
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1074,plain,
( sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[],[f241,f210]) ).
fof(f1156,plain,
( ~ doDivides0(xr,sz00)
| ~ spl4_8 ),
inference(superposition,[],[f231,f1010]) ).
fof(f1170,plain,
( $false
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f1156,f561]) ).
fof(f1171,plain,
~ spl4_8,
inference(avatar_contradiction_clause,[],[f1170]) ).
fof(f1360,definition,
( spl4_11
<=> sz00 = xm ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f1361,plain,
( sz00 != xm
| spl4_11 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f1362,plain,
( sz00 = xm
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f1566,plain,
( ~ doDivides0(xr,sz00)
| ~ spl4_11 ),
inference(superposition,[],[f230,f1362]) ).
fof(f1582,plain,
( $false
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f1566,f561]) ).
fof(f1583,plain,
~ spl4_11,
inference(avatar_contradiction_clause,[],[f1582]) ).
fof(f1665,plain,
! [X2,X0,X1] :
( sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0))
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ),
inference(resolution,[],[f177,f169]) ).
fof(f1714,plain,
! [X2,X0,X1] :
( sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ),
inference(forward_subsumption_resolution,[],[f1665,f178]) ).
fof(f1742,plain,
! [X2,X0,X1] :
( sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X2,X0)) ),
inference(forward_subsumption_resolution,[],[f1714,f142]) ).
fof(f1762,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0))
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0 ),
inference(forward_subsumption_resolution,[],[f1742,f142]) ).
fof(f2050,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| doDivides0(X0,X2)
| ~ isPrime0(X0)
| ~ doDivides0(X0,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(X2,X1),X0)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(X2,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(X2,X1),X0))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(resolution,[],[f209,f184]) ).
fof(f2519,plain,
( sz00 != xp
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtmndt0(xp,xm)) ),
inference(superposition,[],[f160,f660]) ).
fof(f2543,plain,
( sz00 != xp
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtmndt0(xp,xm))
| spl4_11 ),
inference(forward_subsumption_resolution,[],[f2519,f1361]) ).
fof(f2549,plain,
( sz00 != xp
| ~ aNaturalNumber0(sdtmndt0(xp,xm))
| spl4_11 ),
inference(forward_subsumption_resolution,[],[f2543,f207]) ).
fof(f2555,definition,
( spl4_18
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f2557,plain,
( sz00 != xp
| spl4_18 ),
inference(avatar_component_clause,[],[f2555]) ).
fof(f2602,definition,
( spl4_19
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
fof(f2603,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f2602]) ).
fof(f2604,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_19 ),
inference(avatar_component_clause,[],[f2602]) ).
fof(f2605,plain,
( ~ spl4_19
| spl4_18
| spl4_5 ),
inference(avatar_split_clause,[],[f682,f478,f2555,f2602]) ).
fof(f2606,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_19 ),
inference(resolution,[],[f2604,f142]) ).
fof(f2607,plain,
( ~ aNaturalNumber0(xm)
| spl4_19 ),
inference(forward_subsumption_resolution,[],[f2606,f208]) ).
fof(f2608,plain,
( $false
| spl4_19 ),
inference(forward_subsumption_resolution,[],[f2607,f207]) ).
fof(f2609,plain,
spl4_19,
inference(avatar_contradiction_clause,[],[f2608]) ).
fof(f2619,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_18 ),
inference(forward_subsumption_resolution,[],[f1074,f2557]) ).
fof(f2629,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_18 ),
inference(forward_subsumption_resolution,[],[f2619,f206]) ).
fof(f2632,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| spl4_18
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f2629,f2603]) ).
fof(f2634,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| spl4_18
| ~ spl4_19 ),
inference(forward_demodulation,[],[f2632,f218]) ).
fof(f2641,plain,
( doDivides0(xr,sdtasdt0(xp,xk))
| spl4_18
| ~ spl4_19 ),
inference(superposition,[],[f226,f2634]) ).
fof(f2654,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,X0))
| sz00 = xn
| xm = X0
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| spl4_18
| ~ spl4_19 ),
inference(superposition,[],[f179,f2634]) ).
fof(f2667,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,X0))
| xm = X0
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f2654,f1009]) ).
fof(f2685,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,X0))
| xm = X0
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f2667,f208]) ).
fof(f2702,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,X0))
| xm = X0
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f2685,f207]) ).
fof(f3214,definition,
( spl4_25
<=> aNaturalNumber0(sdtmndt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_25])],[avatar_definition]) ).
fof(f3216,plain,
( ~ aNaturalNumber0(sdtmndt0(xp,xm))
| spl4_25 ),
inference(avatar_component_clause,[],[f3214]) ).
fof(f3217,plain,
( ~ spl4_25
| ~ spl4_18
| spl4_11 ),
inference(avatar_split_clause,[],[f2549,f1360,f2555,f3214]) ).
fof(f48849,definition,
( spl4_73
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl4_73])],[avatar_definition]) ).
fof(f48851,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| spl4_73 ),
inference(avatar_component_clause,[],[f48849]) ).
fof(f48853,definition,
( spl4_74
<=> ! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(X2,X1),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(X2,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(X2,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X2,X1))
| ~ isPrime0(X0)
| doDivides0(X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl4_74])],[avatar_definition]) ).
fof(f48854,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(X2,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(X2,X1),X0))
| doDivides0(X0,X1)
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(X2,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X2,X1))
| ~ isPrime0(X0)
| doDivides0(X0,X2) )
| ~ spl4_74 ),
inference(avatar_component_clause,[],[f48853]) ).
fof(f48855,plain,
( ~ spl4_73
| spl4_74 ),
inference(avatar_split_clause,[],[f2050,f48853,f48849]) ).
fof(f49389,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| spl4_73 ),
inference(resolution,[],[f48851,f141]) ).
fof(f49390,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl4_73 ),
inference(forward_subsumption_resolution,[],[f49389,f206]) ).
fof(f59375,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xk)
| xn = xp
| ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| sz00 = xk
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(resolution,[],[f2702,f1762]) ).
fof(f59438,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xk)
| xn = xp
| ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| sz00 = xk
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(duplicate_literal_removal,[],[f59375]) ).
fof(f59499,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| xn = xp
| ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| sz00 = xk
| ~ spl4_5
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f59438,f479]) ).
fof(f59510,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| sz00 = xk
| ~ spl4_5
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f59499,f217]) ).
fof(f59512,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| sz00 = xk
| ~ spl4_5
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f59510,f216]) ).
fof(f59514,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xp)
| sz00 = xk
| ~ spl4_5
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f59512,f208]) ).
fof(f59516,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| sz00 = xk
| ~ spl4_5
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f59514,f206]) ).
fof(f59517,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ spl4_5
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f59516,f222]) ).
fof(f59519,definition,
( spl4_100
<=> sdtlseqdt0(xm,xk) ),
introduced(definition,[new_symbols(definition,[spl4_100])],[avatar_definition]) ).
fof(f59521,plain,
( ~ sdtlseqdt0(xm,xk)
| spl4_100 ),
inference(avatar_component_clause,[],[f59519]) ).
fof(f59523,definition,
( spl4_101
<=> xm = xk ),
introduced(definition,[new_symbols(definition,[spl4_101])],[avatar_definition]) ).
fof(f59525,plain,
( xm = xk
| ~ spl4_101 ),
inference(avatar_component_clause,[],[f59523]) ).
fof(f59526,plain,
( ~ spl4_100
| spl4_101
| ~ spl4_5
| spl4_8
| spl4_18
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f59517,f2602,f2555,f1008,f478,f59523,f59519]) ).
fof(f59531,plain,
( ! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk) )
| spl4_100 ),
inference(resolution,[],[f59521,f170]) ).
fof(f59534,plain,
( ! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk) )
| spl4_100 ),
inference(forward_subsumption_resolution,[],[f59531,f207]) ).
fof(f59539,plain,
( ! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) )
| ~ spl4_5
| spl4_100 ),
inference(forward_subsumption_resolution,[],[f59534,f479]) ).
fof(f61676,plain,
( ~ sdtlseqdt0(xm,xr)
| ~ aNaturalNumber0(xr)
| ~ spl4_5
| spl4_100 ),
inference(resolution,[],[f59539,f227]) ).
fof(f61700,plain,
( ~ sdtlseqdt0(xm,xr)
| ~ spl4_5
| spl4_100 ),
inference(forward_subsumption_resolution,[],[f61676,f225]) ).
fof(f61715,plain,
( sdtlseqdt0(xr,xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ spl4_5
| spl4_100 ),
inference(resolution,[],[f61700,f171]) ).
fof(f61716,plain,
( sdtlseqdt0(xr,xm)
| ~ aNaturalNumber0(xm)
| ~ spl4_5
| spl4_100 ),
inference(forward_subsumption_resolution,[],[f61715,f225]) ).
fof(f61721,plain,
( sdtlseqdt0(xr,xm)
| ~ spl4_5
| spl4_100 ),
inference(forward_subsumption_resolution,[],[f61716,f207]) ).
fof(f61730,plain,
( ~ sdtlseqdt0(xp,xr)
| ~ aNaturalNumber0(xr)
| ~ spl4_5
| spl4_100 ),
inference(resolution,[],[f61721,f712]) ).
fof(f61842,plain,
( ~ sdtlseqdt0(xp,xr)
| ~ spl4_5
| spl4_100 ),
inference(forward_subsumption_resolution,[],[f61730,f225]) ).
fof(f61902,plain,
( sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ spl4_5
| spl4_100 ),
inference(resolution,[],[f61842,f171]) ).
fof(f61903,plain,
( sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xp)
| ~ spl4_5
| spl4_100 ),
inference(forward_subsumption_resolution,[],[f61902,f225]) ).
fof(f61908,plain,
( sdtlseqdt0(xr,xp)
| ~ spl4_5
| spl4_100 ),
inference(forward_subsumption_resolution,[],[f61903,f206]) ).
fof(f62826,plain,
( doDivides0(xr,xm)
| ~ spl4_101 ),
inference(superposition,[],[f224,f59525]) ).
fof(f62972,plain,
( $false
| ~ spl4_101 ),
inference(forward_subsumption_resolution,[],[f62826,f230]) ).
fof(f62973,plain,
~ spl4_101,
inference(avatar_contradiction_clause,[],[f62972]) ).
fof(f63805,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| spl4_25 ),
inference(resolution,[],[f3216,f234]) ).
fof(f63806,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| spl4_25 ),
inference(forward_subsumption_resolution,[],[f63805,f214]) ).
fof(f63807,plain,
( ~ aNaturalNumber0(xp)
| spl4_25 ),
inference(forward_subsumption_resolution,[],[f63806,f207]) ).
fof(f63808,plain,
( $false
| spl4_25 ),
inference(forward_subsumption_resolution,[],[f63807,f206]) ).
fof(f63809,plain,
spl4_25,
inference(avatar_contradiction_clause,[],[f63808]) ).
fof(f76704,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_73 ),
inference(resolution,[],[f49390,f141]) ).
fof(f76705,plain,
( ~ aNaturalNumber0(xm)
| spl4_73 ),
inference(forward_subsumption_resolution,[],[f76704,f208]) ).
fof(f76706,plain,
( $false
| spl4_73 ),
inference(forward_subsumption_resolution,[],[f76705,f207]) ).
fof(f76707,plain,
spl4_73,
inference(avatar_contradiction_clause,[],[f76706]) ).
fof(f77327,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),X0))
| doDivides0(X0,xm)
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ isPrime0(X0)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl4_74 ),
inference(resolution,[],[f48854,f175]) ).
fof(f77396,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),X0))
| doDivides0(X0,xm)
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ isPrime0(X0)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp) )
| ~ spl4_74 ),
inference(duplicate_literal_removal,[],[f77327]) ).
fof(f77455,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),X0))
| doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ isPrime0(X0)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp) )
| ~ spl4_74 ),
inference(forward_subsumption_resolution,[],[f77396,f156]) ).
fof(f77498,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),X0))
| doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ isPrime0(X0)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp) )
| ~ spl4_74 ),
inference(forward_subsumption_resolution,[],[f77455,f207]) ).
fof(f77534,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),X0))
| doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ isPrime0(X0)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp) )
| ~ spl4_74 ),
inference(forward_subsumption_resolution,[],[f77498,f208]) ).
fof(f77564,plain,
( ! [X0] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ isPrime0(X0)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp) )
| ~ spl4_74 ),
inference(forward_subsumption_resolution,[],[f77534,f141]) ).
fof(f77578,plain,
( ! [X0] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ isPrime0(X0)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| xp = X0
| ~ sdtlseqdt0(X0,xp) )
| ~ spl4_74 ),
inference(forward_subsumption_resolution,[],[f77564,f206]) ).
fof(f77587,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xk))
| doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| xp = X0
| ~ sdtlseqdt0(X0,xp) )
| spl4_18
| ~ spl4_19
| ~ spl4_74 ),
inference(forward_demodulation,[],[f77578,f2634]) ).
fof(f78246,definition,
( spl4_129
<=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_129])],[avatar_definition]) ).
fof(f78248,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl4_129 ),
inference(avatar_component_clause,[],[f78246]) ).
fof(f78250,definition,
( spl4_130
<=> ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xk))
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| doDivides0(X0,xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| doDivides0(X0,xm) ) ),
introduced(definition,[new_symbols(definition,[spl4_130])],[avatar_definition]) ).
fof(f78251,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xk))
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| doDivides0(X0,xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| doDivides0(X0,xm) )
| ~ spl4_130 ),
inference(avatar_component_clause,[],[f78250]) ).
fof(f78252,plain,
( ~ spl4_129
| spl4_130
| spl4_18
| ~ spl4_19
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f77587,f48853,f2602,f2555,f78250,f78246]) ).
fof(f78253,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_129 ),
inference(resolution,[],[f78248,f141]) ).
fof(f78254,plain,
( ~ aNaturalNumber0(xm)
| spl4_129 ),
inference(forward_subsumption_resolution,[],[f78253,f208]) ).
fof(f78255,plain,
( $false
| spl4_129 ),
inference(forward_subsumption_resolution,[],[f78254,f207]) ).
fof(f78256,plain,
spl4_129,
inference(avatar_contradiction_clause,[],[f78255]) ).
fof(f78864,plain,
( ~ sdtlseqdt0(xr,xp)
| xp = xr
| doDivides0(xr,xn)
| ~ isPrime0(xr)
| ~ aNaturalNumber0(xr)
| doDivides0(xr,xm)
| spl4_18
| ~ spl4_19
| ~ spl4_130 ),
inference(resolution,[],[f78251,f2641]) ).
fof(f78874,plain,
( xp = xr
| doDivides0(xr,xn)
| ~ isPrime0(xr)
| ~ aNaturalNumber0(xr)
| doDivides0(xr,xm)
| ~ spl4_5
| spl4_18
| ~ spl4_19
| spl4_100
| ~ spl4_130 ),
inference(forward_subsumption_resolution,[],[f78864,f61908]) ).
fof(f78878,plain,
( xp = xr
| ~ isPrime0(xr)
| ~ aNaturalNumber0(xr)
| doDivides0(xr,xm)
| ~ spl4_5
| spl4_18
| ~ spl4_19
| spl4_100
| ~ spl4_130 ),
inference(forward_subsumption_resolution,[],[f78874,f231]) ).
fof(f78880,plain,
( xp = xr
| ~ aNaturalNumber0(xr)
| doDivides0(xr,xm)
| ~ spl4_5
| spl4_18
| ~ spl4_19
| spl4_100
| ~ spl4_130 ),
inference(forward_subsumption_resolution,[],[f78878,f223]) ).
fof(f78882,plain,
( xp = xr
| doDivides0(xr,xm)
| ~ spl4_5
| spl4_18
| ~ spl4_19
| spl4_100
| ~ spl4_130 ),
inference(forward_subsumption_resolution,[],[f78880,f225]) ).
fof(f78884,plain,
( xp = xr
| ~ spl4_5
| spl4_18
| ~ spl4_19
| spl4_100
| ~ spl4_130 ),
inference(forward_subsumption_resolution,[],[f78882,f230]) ).
fof(f78938,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ spl4_5
| spl4_18
| ~ spl4_19
| spl4_100
| ~ spl4_130 ),
inference(superposition,[],[f61700,f78884]) ).
fof(f78999,plain,
( $false
| ~ spl4_5
| spl4_18
| ~ spl4_19
| spl4_100
| ~ spl4_130 ),
inference(forward_subsumption_resolution,[],[f78938,f214]) ).
fof(f79000,plain,
( ~ spl4_5
| spl4_18
| ~ spl4_19
| spl4_100
| ~ spl4_130 ),
inference(avatar_contradiction_clause,[],[f78999]) ).
cnf(s8,plain,
~ spl4_8,
inference(sat_conversion,[],[f1171]) ).
cnf(s12,plain,
~ spl4_11,
inference(sat_conversion,[],[f1583]) ).
cnf(s19,plain,
( spl4_5
| spl4_18
| ~ spl4_19 ),
inference(sat_conversion,[],[f2605]) ).
cnf(s20,plain,
spl4_19,
inference(sat_conversion,[],[f2609]) ).
cnf(s24,plain,
( spl4_11
| ~ spl4_18
| ~ spl4_25 ),
inference(sat_conversion,[],[f3217]) ).
cnf(s106,plain,
( ~ spl4_73
| spl4_74 ),
inference(sat_conversion,[],[f48855]) ).
cnf(s148,plain,
( ~ spl4_5
| spl4_8
| spl4_18
| ~ spl4_19
| ~ spl4_100
| spl4_101 ),
inference(sat_conversion,[],[f59526]) ).
cnf(s154,plain,
~ spl4_101,
inference(sat_conversion,[],[f62973]) ).
cnf(s159,plain,
spl4_25,
inference(sat_conversion,[],[f63809]) ).
cnf(s183,plain,
spl4_73,
inference(sat_conversion,[],[f76707]) ).
cnf(s184,plain,
( spl4_18
| ~ spl4_19
| ~ spl4_74
| ~ spl4_129
| spl4_130 ),
inference(sat_conversion,[],[f78252]) ).
cnf(s185,plain,
spl4_129,
inference(sat_conversion,[],[f78256]) ).
cnf(s188,plain,
( ~ spl4_5
| spl4_18
| ~ spl4_19
| spl4_100
| ~ spl4_130 ),
inference(sat_conversion,[],[f79000]) ).
cnf(s195,plain,
( spl4_18
| ~ spl4_19
| ~ spl4_74
| spl4_130 ),
inference(rat,[],[s184,s185]) ).
cnf(s197,plain,
( ~ spl4_5
| spl4_8
| spl4_18
| ~ spl4_19
| ~ spl4_100 ),
inference(rat,[],[s148,s154]) ).
cnf(s198,plain,
spl4_74,
inference(rat,[],[s106,s183]) ).
cnf(s200,plain,
( spl4_11
| ~ spl4_18 ),
inference(rat,[],[s24,s159]) ).
cnf(s204,plain,
( spl4_5
| spl4_18 ),
inference(rat,[],[s19,s20]) ).
cnf(s206,plain,
~ spl4_18,
inference(rat,[],[s200,s12]) ).
cnf(s207,plain,
spl4_130,
inference(rat,[],[s195,s20,s198,s206]) ).
cnf(s211,plain,
spl4_5,
inference(rat,[],[s204,s206]) ).
cnf(s213,plain,
spl4_100,
inference(rat,[],[s188,s207,s206,s20,s211]) ).
cnf(s216,plain,
spl4_8,
inference(rat,[],[s197,s213,s20,s206,s211]) ).
cnf(s261,plain,
$false,
inference(rat,[],[s8,s216]) ).
fof(f79023,plain,
$false,
inference(avatar_sat_refutation,[],[s261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM506+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:14:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 14.01/2.50 % (1132188)Will run a generic schedule for satisfiability detection.
% 14.01/2.50 % (1132196)dis+10_1_sil=32000:sp=arity:random_seed=2260620956:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.01/2.50 % (1132194)% WARNING: option uhcvi not known.
% 14.01/2.50 % (1132193)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3967160111_2999 on theBenchmark for (2999ds/0Mi)
% 14.01/2.50 % (1132194)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2357164157:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.01/2.50 % (1132195)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1431058200:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.01/2.50 % (1132198)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4272209714:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.01/2.50 % (1132197)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1964420584:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.01/2.50 % (1132199)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3574025315:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.01/2.50 % Detected minimum model sizes of [3]
% 14.01/2.50 % Detected maximum model sizes of [max]
% 14.01/2.50 % TRYING [3]
% 14.01/2.50 % TRYING [4]
% 14.01/2.50 % (1132196)Instruction limit reached!
% 14.01/2.50 % (1132196)------------------------------
% 14.01/2.50 % (1132196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.01/2.50 % (1132196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/2.50 % (1132196)CaDiCaL version: 2.1.3
% 14.01/2.50 % (1132196)Termination reason: Instruction limit
% 14.01/2.50 % (1132196)Termination phase: Saturation
% 14.01/2.50 % (1132196)Time elapsed: 0.035 s
% 14.01/2.50 % (1132196)Peak memory usage: 13 MB
% 14.01/2.50 % (1132196)Instructions burned: 106 (million)
% 14.01/2.50 % (1132207)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=461736331:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.01/2.50 % TRYING [5]
% 14.01/2.50 % Detected minimum model sizes of [3]
% 14.01/2.50 % Detected maximum model sizes of [max]
% 14.01/2.50 % TRYING [3]
% 14.01/2.50 % TRYING [4]
% 14.01/2.50 % TRYING [5]
% 14.01/2.50 % (1132197)Instruction limit reached!
% 14.01/2.50 % (1132197)------------------------------
% 14.01/2.50 % (1132197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.01/2.50 % (1132197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/2.50 % (1132197)CaDiCaL version: 2.1.3
% 14.01/2.50 % (1132197)Termination reason: Instruction limit
% 14.01/2.50 % (1132197)Termination phase: Saturation
% 14.01/2.50 % (1132197)Time elapsed: 0.066 s
% 14.01/2.50 % (1132197)Peak memory usage: 13 MB
% 14.01/2.50 % (1132197)Instructions burned: 116 (million)
% 14.01/2.50 % (1132198)Instruction limit reached!
% 14.01/2.50 % (1132198)------------------------------
% 14.01/2.50 % (1132198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.01/2.50 % (1132198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/2.50 % (1132198)CaDiCaL version: 2.1.3
% 14.01/2.50 % (1132198)Termination reason: Instruction limit
% 14.01/2.50 % (1132198)Termination phase: Saturation
% 14.01/2.50 % (1132198)Time elapsed: 0.077 s
% 14.01/2.50 % (1132198)Peak memory usage: 14 MB
% 14.01/2.50 % (1132198)Instructions burned: 132 (million)
% 14.01/2.50 % (1132209)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3763101343:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.01/2.50 % (1132210)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=1251849088:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.01/2.50 % (1132199)Instruction limit reached!
% 14.01/2.50 % (1132199)------------------------------
% 14.01/2.50 % (1132199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.01/2.50 % (1132199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/2.50 % (1132199)CaDiCaL version: 2.1.3
% 14.01/2.50 % (1132199)Termination reason: Instruction limit
% 14.01/2.50 % (1132199)Termination phase: Saturation
% 14.01/2.50 % (1132199)Time elapsed: 0.100 s
% 14.01/2.50 % (1132199)Peak memory usage: 15 MB
% 14.01/2.50 % (1132199)Instructions burned: 160 (million)
% 14.01/2.50 % TRYING [6]
% 14.01/2.50 % TRYING [6]
% 14.01/2.50 % (1132213)ott-21_1_sil=16000:fs=off:random_seed=48436361:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.01/2.50 % (1132209)Instruction limit reached!
% 33.38/5.18 % (1132209)------------------------------
% 33.38/5.18 % (1132209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.38/5.18 % (1132209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.18 % (1132209)CaDiCaL version: 2.1.3
% 33.38/5.18 % (1132209)Termination reason: Instruction limit
% 33.38/5.18 % (1132209)Termination phase: Saturation
% 33.38/5.18 % (1132209)Time elapsed: 0.067 s
% 33.38/5.18 % (1132209)Peak memory usage: 12 MB
% 33.38/5.18 % (1132209)Instructions burned: 131 (million)
% 33.38/5.18 % (1132215)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2595305162:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 33.38/5.18 % (1132207)Instruction limit reached!
% 33.38/5.18 % (1132207)------------------------------
% 33.38/5.18 % (1132207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.38/5.18 % (1132207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.18 % (1132207)CaDiCaL version: 2.1.3
% 33.38/5.18 % (1132207)Termination reason: Instruction limit
% 33.38/5.18 % (1132207)Termination phase: Finite model building constraint generation
% 33.38/5.18 % (1132207)Time elapsed: 0.139 s
% 33.38/5.18 % (1132207)Peak memory usage: 33 MB
% 33.38/5.18 % (1132207)Instructions burned: 718 (million)
% 33.38/5.18 % (1132217)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2172358935:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.38/5.18 % Detected minimum model sizes of [3]
% 33.38/5.18 % Detected maximum model sizes of [max]
% 33.38/5.18 % TRYING [3]
% 33.38/5.18 % TRYING [4]
% 33.38/5.18 % (1132213)Instruction limit reached!
% 33.38/5.18 % (1132213)------------------------------
% 33.38/5.18 % (1132213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.38/5.18 % (1132213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.18 % (1132213)CaDiCaL version: 2.1.3
% 33.38/5.18 % (1132213)Termination reason: Instruction limit
% 33.38/5.18 % (1132213)Termination phase: Saturation
% 33.38/5.18 % (1132213)Time elapsed: 0.095 s
% 33.38/5.18 % (1132213)Peak memory usage: 13 MB
% 33.38/5.18 % (1132213)Instructions burned: 180 (million)
% 33.38/5.18 % (1132219)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3807718763:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.38/5.18 % TRYING [5]
% 33.38/5.18 % TRYING [7]
% 33.38/5.18 % TRYING [6]
% 33.38/5.18 % (1132217)Instruction limit reached!
% 33.38/5.18 % (1132217)------------------------------
% 33.38/5.18 % (1132217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.38/5.18 % (1132217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.18 % (1132217)CaDiCaL version: 2.1.3
% 33.38/5.18 % (1132217)Termination reason: Instruction limit
% 33.38/5.18 % (1132217)Termination phase: Finite model building constraint generation
% 33.38/5.18 % (1132217)Time elapsed: 0.183 s
% 33.38/5.18 % (1132217)Peak memory usage: 22 MB
% 33.38/5.18 % (1132217)Instructions burned: 867 (million)
% 33.38/5.18 % (1132221)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2031936131:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 33.38/5.18 % (1132210)Instruction limit reached!
% 33.38/5.18 % (1132210)------------------------------
% 33.38/5.18 % (1132210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.38/5.18 % (1132210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.18 % (1132210)CaDiCaL version: 2.1.3
% 33.38/5.18 % (1132210)Termination reason: Instruction limit
% 33.38/5.18 % (1132210)Termination phase: Saturation
% 33.38/5.18 % (1132210)Time elapsed: 0.382 s
% 33.38/5.18 % (1132210)Peak memory usage: 21 MB
% 33.38/5.18 % (1132210)Instructions burned: 685 (million)
% 33.38/5.18 % TRYING [14]
% 33.38/5.18 % (1132215)Instruction limit reached!
% 33.38/5.18 % (1132215)------------------------------
% 33.38/5.18 % (1132215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.38/5.18 % (1132215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/5.18 % (1132215)CaDiCaL version: 2.1.3
% 33.38/5.18 % (1132215)Termination reason: Instruction limit
% 33.38/5.18 % (1132215)Termination phase: Saturation
% 33.38/5.18 % (1132215)Time elapsed: 0.310 s
% 33.38/5.18 % (1132215)Peak memory usage: 15 MB
% 33.38/5.18 % (1132215)Instructions burned: 477 (million)
% 33.38/5.18 % (1132223)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=470743075: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)
% 56.53/8.49 % (1132224)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=263093627:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 56.53/8.49 % (1132221)Instruction limit reached!
% 56.53/8.49 % (1132221)------------------------------
% 56.53/8.49 % (1132221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.53/8.49 % (1132221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.53/8.49 % (1132221)CaDiCaL version: 2.1.3
% 56.53/8.49 % (1132221)Termination reason: Instruction limit
% 56.53/8.49 % (1132221)Termination phase: Finite model building constraint generation
% 56.53/8.49 % (1132221)Time elapsed: 0.190 s
% 56.53/8.49 % (1132221)Peak memory usage: 79 MB
% 56.53/8.49 % (1132221)Instructions burned: 893 (million)
% 56.53/8.49 % (1132227)fmb+10_1_sil=64000:random_seed=3694686302:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 56.53/8.49 % Detected minimum model sizes of [3]
% 56.53/8.49 % Detected maximum model sizes of [max]
% 56.53/8.49 % TRYING [3]
% 56.53/8.49 % TRYING [4]
% 56.53/8.49 % TRYING [5]
% 56.53/8.49 % TRYING [8]
% 56.53/8.49 % TRYING [6]
% 56.53/8.49 % (1132219)Instruction limit reached!
% 56.53/8.49 % (1132219)------------------------------
% 56.53/8.49 % (1132219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.53/8.49 % (1132219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.53/8.49 % (1132219)CaDiCaL version: 2.1.3
% 56.53/8.49 % (1132219)Termination reason: Instruction limit
% 56.53/8.49 % (1132219)Termination phase: Saturation
% 56.53/8.49 % (1132219)Time elapsed: 0.622 s
% 56.53/8.49 % (1132219)Peak memory usage: 25 MB
% 56.53/8.49 % (1132219)Instructions burned: 1180 (million)
% 56.53/8.49 % (1132229)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1563672097:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 56.53/8.49 % (1132223)Instruction limit reached!
% 56.53/8.49 % (1132223)------------------------------
% 56.53/8.49 % (1132223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.53/8.49 % (1132223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.53/8.49 % (1132223)CaDiCaL version: 2.1.3
% 56.53/8.49 % (1132223)Termination reason: Instruction limit
% 56.53/8.49 % (1132223)Termination phase: Saturation
% 56.53/8.49 % (1132223)Time elapsed: 0.385 s
% 56.53/8.49 % (1132223)Peak memory usage: 21 MB
% 56.53/8.49 % (1132223)Instructions burned: 692 (million)
% 56.53/8.49 % Detected minimum model sizes of [3]
% 56.53/8.49 % Detected maximum model sizes of [max]
% 56.53/8.49 % TRYING [20]
% 56.53/8.49 % (1132231)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2810184018:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 56.53/8.49 % Detected minimum model sizes of [3]
% 56.53/8.49 % Detected maximum model sizes of [max]
% 56.53/8.49 % TRYING [8]
% 56.53/8.49 % (1132224)Instruction limit reached!
% 56.53/8.49 % (1132224)------------------------------
% 56.53/8.49 % (1132224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.53/8.49 % (1132224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.53/8.49 % (1132224)CaDiCaL version: 2.1.3
% 56.53/8.49 % (1132224)Termination reason: Instruction limit
% 56.53/8.49 % (1132224)Termination phase: Saturation
% 56.53/8.49 % (1132224)Time elapsed: 0.492 s
% 56.53/8.49 % (1132224)Peak memory usage: 20 MB
% 56.53/8.49 % (1132224)Instructions burned: 879 (million)
% 56.53/8.49 % (1132233)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2007760106:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 56.53/8.49 % TRYING [7]
% 56.53/8.49 % (1132231)Instruction limit reached!
% 56.53/8.49 % (1132231)------------------------------
% 56.53/8.49 % (1132231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.53/8.49 % (1132231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.53/8.49 % (1132231)CaDiCaL version: 2.1.3
% 56.53/8.49 % (1132231)Termination reason: Instruction limit
% 56.53/8.49 % (1132231)Termination phase: Finite model building constraint generation
% 56.53/8.49 % (1132231)Time elapsed: 0.336 s
% 56.53/8.49 % (1132231)Peak memory usage: 67 MB
% 56.53/8.49 % (1132231)Instructions burned: 922 (million)
% 56.53/8.49 % (1132235)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=180872188:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 56.53/8.49 % TRYING [9]
% 56.53/8.49 % TRYING [8]
% 56.53/8.49 % (1132235)Instruction limit reached!
% 56.53/8.49 % (1132235)------------------------------
% 56.53/8.49 % (1132235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.53/8.49 % (1132235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.41/28.30 % (1132235)CaDiCaL version: 2.1.3
% 197.41/28.30 % (1132235)Termination reason: Instruction limit
% 197.41/28.30 % (1132235)Termination phase: Saturation
% 197.41/28.30 % (1132235)Time elapsed: 0.769 s
% 197.41/28.30 % (1132235)Peak memory usage: 33 MB
% 197.41/28.30 % (1132235)Instructions burned: 1472 (million)
% 197.41/28.30 % (1132237)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=845237301:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 197.41/28.30 % Detected minimum model sizes of [3]
% 197.41/28.30 % Detected maximum model sizes of [max]
% 197.41/28.30 % TRYING [77]
% 197.41/28.30 % TRYING [10]
% 197.41/28.30 % TRYING [9]
% 197.41/28.30 % (1132233)Instruction limit reached!
% 197.41/28.30 % (1132233)------------------------------
% 197.41/28.30 % (1132233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.41/28.30 % (1132233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.41/28.30 % (1132233)CaDiCaL version: 2.1.3
% 197.41/28.30 % (1132233)Termination reason: Instruction limit
% 197.41/28.30 % (1132233)Termination phase: Saturation
% 197.41/28.30 % (1132233)Time elapsed: 2.708 s
% 197.41/28.30 % (1132233)Peak memory usage: 50 MB
% 197.41/28.30 % (1132233)Instructions burned: 5132 (million)
% 197.41/28.30 % (1132239)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=992763559:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 197.41/28.30 % Detected minimum model sizes of [3]
% 197.41/28.30 % Detected maximum model sizes of [max]
% 197.41/28.30 % TRYING [16]
% 197.41/28.30 % (1132229)Instruction limit reached!
% 197.41/28.30 % (1132229)------------------------------
% 197.41/28.30 % (1132229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.41/28.30 % (1132229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.41/28.30 % (1132229)CaDiCaL version: 2.1.3
% 197.41/28.30 % (1132229)Termination reason: Instruction limit
% 197.41/28.30 % (1132229)Termination phase: Finite model building constraint generation
% 197.41/28.30 % (1132229)Time elapsed: 3.279 s
% 197.41/28.30 % (1132229)Peak memory usage: 567 MB
% 197.41/28.30 % (1132229)Instructions burned: 9515 (million)
% 197.41/28.30 % (1132241)ott-2_1_sil=16000:newcnf=on:random_seed=1590285734:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 197.41/28.30 % (1132237)Instruction limit reached!
% 197.41/28.30 % (1132237)------------------------------
% 197.41/28.30 % (1132237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.41/28.30 % (1132237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.41/28.30 % (1132237)CaDiCaL version: 2.1.3
% 197.41/28.30 % (1132237)Termination reason: Instruction limit
% 197.41/28.30 % (1132237)Termination phase: Finite model building constraint generation
% 197.41/28.30 % (1132237)Time elapsed: 2.345 s
% 197.41/28.30 % (1132237)Peak memory usage: 523 MB
% 197.41/28.30 % (1132237)Instructions burned: 6326 (million)
% 197.41/28.30 % (1132243)ott+10_1_sil=32000:tgt=ground:random_seed=2990373807:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 197.41/28.30 % (1132239)Instruction limit reached!
% 197.41/28.30 % (1132239)------------------------------
% 197.41/28.30 % (1132239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.41/28.30 % (1132239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.41/28.30 % (1132239)CaDiCaL version: 2.1.3
% 197.41/28.30 % (1132239)Termination reason: Instruction limit
% 197.41/28.30 % (1132239)Termination phase: Finite model building constraint generation
% 197.41/28.30 % (1132239)Time elapsed: 0.771 s
% 197.41/28.30 % (1132239)Peak memory usage: 146 MB
% 197.41/28.30 % (1132239)Instructions burned: 2175 (million)
% 197.41/28.30 % (1132245)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1383264132:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 197.41/28.30 % Detected minimum model sizes of [3]
% 197.41/28.30 % Detected maximum model sizes of [max]
% 197.41/28.30 % TRYING [3]
% 197.41/28.30 % TRYING [4]
% 197.41/28.30 % TRYING [5]
% 197.41/28.30 % TRYING [6]
% 197.41/28.30 % (1132241)Instruction limit reached!
% 197.41/28.30 % (1132241)------------------------------
% 197.41/28.30 % (1132241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.41/28.30 % (1132241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.41/28.30 % (1132241)CaDiCaL version: 2.1.3
% 197.41/28.30 % (1132241)Termination reason: Instruction limit
% 197.41/28.30 % (1132241)Termination phase: Saturation
% 197.41/28.30 % (1132241)Time elapsed: 0.453 s
% 197.41/28.30 % (1132241)Peak memory usage: 25 MB
% 197.41/28.30 % (1132241)Instructions burned: 870 (million)
% 197.41/28.30 % (1132247)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2667089913:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 133.54/39.42 % TRYING [7]
% 133.54/39.42 % TRYING [8]
% 133.54/39.42 % (1132227)Instruction limit reached!
% 133.54/39.42 % (1132227)------------------------------
% 133.54/39.42 % (1132227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132227)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132227)Termination reason: Instruction limit
% 133.54/39.42 % (1132227)Termination phase: Finite model building SAT solving
% 133.54/39.42 % (1132227)Time elapsed: 4.739 s
% 133.54/39.42 % (1132227)Peak memory usage: 158 MB
% 133.54/39.42 % (1132227)Instructions burned: 22062 (million)
% 133.54/39.42 % (1132249)dis+21_1_sil=32000:sas=cadical:random_seed=3846870019:i=3773:amm=off_2946 on theBenchmark for (2946ds/3773Mi)
% 133.54/39.42 % TRYING [11]
% 133.54/39.42 % TRYING [9]
% 133.54/39.42 % (1132249)Instruction limit reached!
% 133.54/39.42 % (1132249)------------------------------
% 133.54/39.42 % (1132249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132249)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132249)Termination reason: Instruction limit
% 133.54/39.42 % (1132249)Termination phase: Saturation
% 133.54/39.42 % (1132249)Time elapsed: 1.010 s
% 133.54/39.42 % (1132249)Peak memory usage: 44 MB
% 133.54/39.42 % (1132249)Instructions burned: 3777 (million)
% 133.54/39.42 % (1132251)ott+11_1_sil=16000:gs=on:random_seed=2959670720:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2935 on theBenchmark for (2935ds/2251Mi)
% 133.54/39.42 % (1132247)Instruction limit reached!
% 133.54/39.42 % (1132247)------------------------------
% 133.54/39.42 % (1132247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132247)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132247)Termination reason: Instruction limit
% 133.54/39.42 % (1132247)Termination phase: Saturation
% 133.54/39.42 % (1132247)Time elapsed: 1.818 s
% 133.54/39.42 % (1132247)Peak memory usage: 38 MB
% 133.54/39.42 % (1132247)Instructions burned: 3513 (million)
% 133.54/39.42 % (1132253)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2646254771:fmbsr=1.6:i=67534_2934 on theBenchmark for (2934ds/67534Mi)
% 133.54/39.42 % Detected minimum model sizes of [3]
% 133.54/39.42 % Detected maximum model sizes of [max]
% 133.54/39.42 % TRYING [7]
% 133.54/39.42 % (1132251)Instruction limit reached!
% 133.54/39.42 % (1132251)------------------------------
% 133.54/39.42 % (1132251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132251)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132251)Termination reason: Instruction limit
% 133.54/39.42 % (1132251)Termination phase: Saturation
% 133.54/39.42 % (1132251)Time elapsed: 0.507 s
% 133.54/39.42 % (1132251)Peak memory usage: 18 MB
% 133.54/39.42 % (1132251)Instructions burned: 2255 (million)
% 133.54/39.42 % (1132255)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=432743915:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2930 on theBenchmark for (2930ds/4591Mi)
% 133.54/39.42 % TRYING [10]
% 133.54/39.42 % (1132243)Instruction limit reached!
% 133.54/39.42 % (1132243)------------------------------
% 133.54/39.42 % (1132243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132243)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132243)Termination reason: Instruction limit
% 133.54/39.42 % (1132243)Termination phase: Saturation
% 133.54/39.42 % (1132243)Time elapsed: 2.899 s
% 133.54/39.42 % (1132243)Peak memory usage: 40 MB
% 133.54/39.42 % (1132243)Instructions burned: 5115 (million)
% 133.54/39.42 % (1132257)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1128247687:i=29340_2925 on theBenchmark for (2925ds/29340Mi)
% 133.54/39.42 % (1132255)Instruction limit reached!
% 133.54/39.42 % (1132255)------------------------------
% 133.54/39.42 % (1132255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132255)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132255)Termination reason: Instruction limit
% 133.54/39.42 % (1132255)Termination phase: Saturation
% 133.54/39.42 % (1132255)Time elapsed: 1.131 s
% 133.54/39.42 % (1132255)Peak memory usage: 56 MB
% 133.54/39.42 % (1132255)Instructions burned: 4595 (million)
% 133.54/39.42 % (1132259)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=172075637:i=5211_2919 on theBenchmark for (2919ds/5211Mi)
% 133.54/39.42 % TRYING [8]
% 133.54/39.42 % (1132259)Instruction limit reached!
% 133.54/39.42 % (1132259)------------------------------
% 133.54/39.42 % (1132259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132259)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132259)Termination reason: Instruction limit
% 133.54/39.42 % (1132259)Termination phase: Saturation
% 133.54/39.42 % (1132259)Time elapsed: 1.495 s
% 133.54/39.42 % (1132259)Peak memory usage: 56 MB
% 133.54/39.42 % (1132259)Instructions burned: 5213 (million)
% 133.54/39.42 % (1132261)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=520920862:i=5497:nm=2_2904 on theBenchmark for (2904ds/5497Mi)
% 133.54/39.42 % Detected minimum model sizes of [3]
% 133.54/39.42 % Detected maximum model sizes of [max]
% 133.54/39.42 % TRYING [17]
% 133.54/39.42 % TRYING [12]
% 133.54/39.42 % TRYING [11]
% 133.54/39.42 % (1132261)Instruction limit reached!
% 133.54/39.42 % (1132261)------------------------------
% 133.54/39.42 % (1132261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132261)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132261)Termination reason: Instruction limit
% 133.54/39.42 % (1132261)Termination phase: Finite model building constraint generation
% 133.54/39.42 % (1132261)Time elapsed: 1.034 s
% 133.54/39.42 % (1132261)Peak memory usage: 328 MB
% 133.54/39.42 % (1132261)Instructions burned: 5502 (million)
% 133.54/39.42 % (1132263)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2233411772:fmbsr=2:i=46332_2893 on theBenchmark for (2893ds/46332Mi)
% 133.54/39.42 % Detected minimum model sizes of [3]
% 133.54/39.42 % Detected maximum model sizes of [max]
% 133.54/39.42 % TRYING [15]
% 133.54/39.42 % TRYING [9]
% 133.54/39.42 % TRYING [12]
% 133.54/39.42 % TRYING [13]
% 133.54/39.42 % TRYING [10]
% 133.54/39.42 % (1132257)Instruction limit reached!
% 133.54/39.42 % (1132257)------------------------------
% 133.54/39.42 % (1132257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132257)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132257)Termination reason: Instruction limit
% 133.54/39.42 % (1132257)Termination phase: Saturation
% 133.54/39.42 % (1132257)Time elapsed: 12.711 s
% 133.54/39.42 % (1132257)Peak memory usage: 304 MB
% 133.54/39.42 % (1132257)Instructions burned: 29341 (million)
% 133.54/39.42 % (1132265)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1295437410:i=14071_2797 on theBenchmark for (2797ds/14071Mi)
% 133.54/39.42 % Detected minimum model sizes of [3]
% 133.54/39.42 % Detected maximum model sizes of [max]
% 133.54/39.42 % TRYING [12]
% 133.54/39.42 % TRYING [13]
% 133.54/39.42 % (1132265)Instruction limit reached!
% 133.54/39.42 % (1132265)------------------------------
% 133.54/39.42 % (1132265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132265)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132265)Termination reason: Instruction limit
% 133.54/39.42 % (1132265)Termination phase: Finite model building SAT solving
% 133.54/39.42 % (1132265)Time elapsed: 6.657 s
% 133.54/39.42 % (1132265)Peak memory usage: 726 MB
% 133.54/39.42 % (1132265)Instructions burned: 14071 (million)
% 133.54/39.42 % (1132268)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=164831367:i=22565:add=on:rawr=on_2730 on theBenchmark for (2730ds/22565Mi)
% 133.54/39.42 % (1132245)Instruction limit reached!
% 133.54/39.42 % (1132245)------------------------------
% 133.54/39.42 % (1132245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132245)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132245)Termination reason: Instruction limit
% 133.54/39.42 % (1132245)Termination phase: Finite model building constraint generation
% 133.54/39.42 % (1132245)Time elapsed: 22.882 s
% 133.54/39.42 % (1132245)Peak memory usage: 904 MB
% 133.54/39.42 % (1132245)Instructions burned: 54282 (million)
% 133.54/39.42 % (1132270)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1710509645:i=8173:av=off_2724 on theBenchmark for (2724ds/8173Mi)
% 133.54/39.42 % (1132263)Instruction limit reached!
% 133.54/39.42 % (1132263)------------------------------
% 133.54/39.42 % (1132263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132263)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132263)Termination reason: Instruction limit
% 133.54/39.42 % (1132263)Termination phase: Finite model building SAT solving
% 133.54/39.42 % (1132263)Time elapsed: 17.226 s
% 133.54/39.42 % (1132263)Peak memory usage: 2685 MB
% 133.54/39.42 % (1132263)Instructions burned: 46344 (million)
% 133.54/39.42 % (1132272)dis+10_16:1_sil=16000:random_seed=3831006568:i=9155:fsr=off_2718 on theBenchmark for (2718ds/9155Mi)
% 133.54/39.42 % (1132272)Instruction limit reached!
% 133.54/39.42 % (1132272)------------------------------
% 133.54/39.42 % (1132272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132272)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132272)Termination reason: Instruction limit
% 133.54/39.42 % (1132272)Termination phase: Saturation
% 133.54/39.42 % (1132272)Time elapsed: 2.367 s
% 133.54/39.42 % (1132272)Peak memory usage: 95 MB
% 133.54/39.42 % (1132272)Instructions burned: 9156 (million)
% 133.54/39.42 % (1132274)ott-3_8_sil=64000:random_seed=1596639601:i=20139:bs=on_2695 on theBenchmark for (2695ds/20139Mi)
% 133.54/39.42 % TRYING [14]
% 133.54/39.42 % TRYING [11]
% 133.54/39.42 % (1132270)Instruction limit reached!
% 133.54/39.42 % (1132270)------------------------------
% 133.54/39.42 % (1132270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132270)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132270)Termination reason: Instruction limit
% 133.54/39.42 % (1132270)Termination phase: Saturation
% 133.54/39.42 % (1132270)Time elapsed: 4.271 s
% 133.54/39.42 % (1132270)Peak memory usage: 79 MB
% 133.54/39.42 % (1132270)Instructions burned: 8175 (million)
% 133.54/39.42 % (1132276)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1498454555:fmbsr=2:i=32576_2681 on theBenchmark for (2681ds/32576Mi)
% 133.54/39.42 % Detected minimum model sizes of [3]
% 133.54/39.42 % Detected maximum model sizes of [max]
% 133.54/39.42 % TRYING [9]
% 133.54/39.42 % TRYING [10]
% 133.54/39.42 % (1132253)Instruction limit reached!
% 133.54/39.42 % (1132253)------------------------------
% 133.54/39.42 % (1132253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132253)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132253)Termination reason: Instruction limit
% 133.54/39.42 % (1132253)Termination phase: Finite model building SAT solving
% 133.54/39.42 % (1132253)Time elapsed: 27.179 s
% 133.54/39.42 % (1132253)Peak memory usage: 312 MB
% 133.54/39.42 % (1132253)Instructions burned: 67534 (million)
% 133.54/39.42 % (1132278)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=4072436768:i=11404_2661 on theBenchmark for (2661ds/11404Mi)
% 133.54/39.42 % TRYING [11]
% 133.54/39.42 % (1132274)Instruction limit reached!
% 133.54/39.42 % (1132274)------------------------------
% 133.54/39.42 % (1132274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132274)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132274)Termination reason: Instruction limit
% 133.54/39.42 % (1132274)Termination phase: Saturation
% 133.54/39.42 % (1132274)Time elapsed: 6.730 s
% 133.54/39.42 % (1132274)Peak memory usage: 144 MB
% 133.54/39.42 % (1132274)Instructions burned: 20141 (million)
% 133.54/39.42 % (1132280)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2935150780:i=14134_2627 on theBenchmark for (2627ds/14134Mi)
% 133.54/39.42 % (1132280) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1132188-1132280"...
% 133.54/39.42 % (1132280)...printing done.
% 133.54/39.42 % (1132280)Refutation found. Thanks to Tanya!
% 133.54/39.42 % SZS status Theorem for theBenchmark
% 133.54/39.42 % SZS output start Proof for theBenchmark
% See solution above
% 133.54/39.42 % (1132280)------------------------------
% 133.54/39.42 % (1132280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 133.54/39.42 % (1132280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.54/39.42 % (1132280)CaDiCaL version: 2.1.3
% 133.54/39.42 % (1132280)Termination reason: Refutation
% 133.54/39.42 % (1132280)Time elapsed: 1.523 s
% 133.54/39.42 % (1132280)Peak memory usage: 61 MB
% 133.54/39.42 % (1132280)Instructions burned: 5103 (million)
% 133.54/39.42 % (1132188)Success in time 38.995 s
% 133.54/39.42 % Vampire exiting
%------------------------------------------------------------------------------