%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM503+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:24:34 PM UTC 2026
% Result : Theorem 16.91s 3.02s
% Output : Refutation 16.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 32
% Syntax : Number of formulae : 247 ( 41 unt; 11 def)
% Number of atoms : 874 ( 241 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1074 ( 447 ~; 472 |; 112 &)
% ( 20 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 180 ( 0 sgn 156 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
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(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
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(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(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(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
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(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X0,sdtpldt0(X1,X2)) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f43,axiom,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xm )
| sdtlseqdt0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(f44,axiom,
( xn != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xp )
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f45,axiom,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f46,axiom,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
fof(f50,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xk )
& sdtlseqdt0(xp,xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2389) ).
fof(f51,conjecture,
( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtasdt0(xn,xm),X0) = sdtasdt0(xp,xm) )
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) )
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtasdt0(xp,xm),X0) = sdtasdt0(xp,xk) )
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f52,negated_conjecture,
~ ( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtasdt0(xn,xm),X0) = sdtasdt0(xp,xm) )
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) )
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtasdt0(xp,xm),X0) = sdtasdt0(xp,xk) )
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ) ),
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f54,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(rectify,[],[f41]) ).
fof(f55,plain,
( xn != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtpldt0(xm,X1) )
& sdtlseqdt0(xm,xp) ),
inference(rectify,[],[f44]) ).
fof(f58,plain,
~ ( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtasdt0(xn,xm),X0) = sdtasdt0(xp,xm) )
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) )
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X1) )
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ) ),
inference(rectify,[],[f52]) ).
fof(f62,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f63,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f62]) ).
fof(f68,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f74,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f79,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f80,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f79]) ).
fof(f83,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f84,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f86,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f85]) ).
fof(f92,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f93,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f92]) ).
fof(f98,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(f99,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,[],[f98]) ).
fof(f102,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f103,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f102]) ).
fof(f108,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f109,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f108]) ).
fof(f110,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(f111,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,[],[f110]) ).
fof(f116,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f117,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f116]) ).
fof(f128,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f129,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(flattening,[],[f128]) ).
fof(f131,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtpldt0(xp,X0) )
& ~ sdtlseqdt0(xp,xm) ),
inference(ennf_transformation,[],[f43]) ).
fof(f132,plain,
( sz00 != xk
& sz10 != xk ),
inference(ennf_transformation,[],[f46]) ).
fof(f135,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,xm) != sdtpldt0(sdtasdt0(xn,xm),X0) )
& ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) )
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X1) )
& ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f136,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f144,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f150,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f74]) ).
fof(f156,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f80]) ).
fof(f159,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f84]) ).
fof(f160,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f161,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f168,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f175,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f177,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f180,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f111]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f111]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f203,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f204,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f205,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f240,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK10),
inference(cnf_transformation,[],[f129]) ).
fof(f241,plain,
aNaturalNumber0(sK10),
inference(cnf_transformation,[],[f129]) ).
fof(f245,plain,
sz00 != xp,
inference(cnf_transformation,[],[f129]) ).
fof(f248,plain,
! [X0] :
( xm != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f249,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f131]) ).
fof(f254,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f55]) ).
fof(f256,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f55]) ).
fof(f257,plain,
xn != xp,
inference(cnf_transformation,[],[f55]) ).
fof(f258,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f259,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f260,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f262,plain,
sz00 != xk,
inference(cnf_transformation,[],[f132]) ).
fof(f279,plain,
xk = sdtpldt0(xp,sK16),
inference(cnf_transformation,[],[f50]) ).
fof(f280,plain,
aNaturalNumber0(sK16),
inference(cnf_transformation,[],[f50]) ).
fof(f281,plain,
sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f50]) ).
fof(f284,plain,
! [X1] :
( sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X1)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(cnf_transformation,[],[f135]) ).
fof(f291,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f184]) ).
fof(f293,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f186]) ).
fof(f294,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f185]) ).
fof(f301,definition,
( spl17_1
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f302,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
| spl17_1 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f303,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f305,definition,
( spl17_2
<=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f306,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f307,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| spl17_2 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f309,definition,
( spl17_3
<=> sdtasdt0(xp,xk) = sdtasdt0(xp,xm) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f310,plain,
( sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
| spl17_3 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f311,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f313,definition,
( spl17_4
<=> sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
fof(f314,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f315,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| spl17_4 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f322,definition,
( spl17_6
<=> ! [X1] :
( sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X1)
| ~ aNaturalNumber0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition]) ).
fof(f323,plain,
( ! [X1] :
( sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X1)
| ~ aNaturalNumber0(X1) )
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f336,plain,
( xm != xk
| ~ aNaturalNumber0(sK16) ),
inference(superposition,[],[f248,f279]) ).
fof(f337,plain,
xm != xk,
inference(forward_subsumption_resolution,[],[f336,f280]) ).
fof(f339,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ~ spl17_1 ),
inference(forward_demodulation,[],[f259,f303]) ).
fof(f340,plain,
( spl17_3
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f339,f301,f309]) ).
fof(f346,plain,
xk = sdtsldt0(sdtasdt0(xp,sK10),xp),
inference(forward_demodulation,[],[f258,f240]) ).
fof(f347,plain,
sdtasdt0(xp,xk) = sdtasdt0(xp,sK10),
inference(superposition,[],[f259,f240]) ).
fof(f352,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| spl17_2 ),
inference(superposition,[],[f307,f259]) ).
fof(f445,plain,
sz00 = sdtasdt0(xn,sz00),
inference(resolution,[],[f150,f205]) ).
fof(f447,plain,
sz00 = sdtasdt0(xp,sz00),
inference(resolution,[],[f150,f203]) ).
fof(f480,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f140,f259]) ).
fof(f483,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f480,f205]) ).
fof(f486,plain,
aNaturalNumber0(sdtasdt0(xp,xk)),
inference(forward_subsumption_resolution,[],[f483,f204]) ).
fof(f521,definition,
( spl17_7
<=> aNaturalNumber0(sdtasdt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f522,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f523,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| spl17_7 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f529,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| spl17_7 ),
inference(resolution,[],[f523,f140]) ).
fof(f532,plain,
( ~ aNaturalNumber0(xm)
| spl17_7 ),
inference(forward_subsumption_resolution,[],[f529,f203]) ).
fof(f533,plain,
( $false
| spl17_7 ),
inference(forward_subsumption_resolution,[],[f532,f204]) ).
fof(f534,plain,
spl17_7,
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f535,plain,
( sdtlseqdt0(sdtasdt0(xp,sK10),sdtasdt0(xp,xm))
| ~ spl17_2 ),
inference(forward_demodulation,[],[f306,f240]) ).
fof(f536,plain,
( ! [X1] :
( sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X1)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) )
| spl17_3 ),
inference(forward_subsumption_resolution,[],[f284,f310]) ).
fof(f537,plain,
( ! [X1] :
( sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X1)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) )
| spl17_1
| spl17_3 ),
inference(forward_subsumption_resolution,[],[f536,f302]) ).
fof(f538,plain,
( ! [X1] :
( ~ sdtlseqdt0(sdtasdt0(xp,sK10),sdtasdt0(xp,xm))
| sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X1)
| ~ aNaturalNumber0(X1) )
| spl17_1
| spl17_3 ),
inference(forward_demodulation,[],[f537,f240]) ).
fof(f545,plain,
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xp,xm),sz00)
| ~ spl17_7 ),
inference(resolution,[],[f522,f144]) ).
fof(f548,plain,
( ! [X1] :
( sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X1)
| ~ aNaturalNumber0(X1) )
| spl17_1
| ~ spl17_2
| spl17_3 ),
inference(forward_subsumption_resolution,[],[f538,f535]) ).
fof(f550,plain,
( spl17_6
| spl17_1
| ~ spl17_2
| spl17_3 ),
inference(avatar_split_clause,[],[f548,f309,f305,f301,f322]) ).
fof(f908,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f291,f140]) ).
fof(f1737,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| doDivides0(X0,sz00) )
| ~ spl17_7 ),
inference(superposition,[],[f190,f545]) ).
fof(f1744,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| doDivides0(X0,sz00) )
| ~ spl17_7 ),
inference(duplicate_literal_removal,[],[f1737]) ).
fof(f1754,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| doDivides0(X0,sz00) )
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f1744,f522]) ).
fof(f1763,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| doDivides0(X0,sz00) )
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f1754,f136]) ).
fof(f3214,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xp,sK10),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xn,X0)
| xn = X0
| sz00 = xm
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f175,f240]) ).
fof(f3233,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xp,sK10),sdtasdt0(X0,xm))
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xn,X0)
| xn = X0
| sz00 = xm
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f3214,f205]) ).
fof(f3251,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xp,sK10),sdtasdt0(X0,xm))
| ~ sdtlseqdt0(xn,X0)
| xn = X0
| sz00 = xm
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f3233,f204]) ).
fof(f3277,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xm,xk)
| xm = xk
| sz00 = xp
| ~ aNaturalNumber0(xk)
| spl17_4 ),
inference(resolution,[],[f177,f315]) ).
fof(f3314,plain,
( ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xm,xk)
| xm = xk
| sz00 = xp
| ~ aNaturalNumber0(xk)
| spl17_4 ),
inference(forward_subsumption_resolution,[],[f3277,f204]) ).
fof(f3333,plain,
( ~ sdtlseqdt0(xm,xk)
| xm = xk
| sz00 = xp
| ~ aNaturalNumber0(xk)
| spl17_4 ),
inference(forward_subsumption_resolution,[],[f3314,f203]) ).
fof(f3346,plain,
( ~ sdtlseqdt0(xm,xk)
| sz00 = xp
| ~ aNaturalNumber0(xk)
| spl17_4 ),
inference(forward_subsumption_resolution,[],[f3333,f337]) ).
fof(f3347,plain,
( ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xk)
| spl17_4 ),
inference(forward_subsumption_resolution,[],[f3346,f245]) ).
fof(f3348,plain,
( ~ sdtlseqdt0(xm,xk)
| spl17_4 ),
inference(forward_subsumption_resolution,[],[f3347,f260]) ).
fof(f3634,definition,
( spl17_16
<=> sz00 = sK10 ),
introduced(definition,[new_symbols(definition,[spl17_16])],[avatar_definition]) ).
fof(f3635,plain,
( sz00 != sK10
| spl17_16 ),
inference(avatar_component_clause,[],[f3634]) ).
fof(f3636,plain,
( sz00 = sK10
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f3634]) ).
fof(f4084,definition,
( spl17_18
<=> sz00 = xm ),
introduced(definition,[new_symbols(definition,[spl17_18])],[avatar_definition]) ).
fof(f4085,plain,
( sz00 = xm
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f4084]) ).
fof(f4086,plain,
( sz00 != xm
| spl17_18 ),
inference(avatar_component_clause,[],[f4084]) ).
fof(f4279,plain,
( ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,xm)
| sz00 = xp
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| xk = X0 )
| ~ spl17_3 ),
inference(superposition,[],[f156,f311]) ).
fof(f4306,plain,
( ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,xm)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| xk = X0 )
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f4279,f245]) ).
fof(f4322,plain,
( ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| xk = X0 )
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f4306,f260]) ).
fof(f4335,plain,
( ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,xm)
| ~ aNaturalNumber0(X0)
| xk = X0 )
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f4322,f203]) ).
fof(f5354,plain,
( ~ aNaturalNumber0(xm)
| xm = xk
| ~ spl17_3 ),
inference(equality_resolution,[],[f4335]) ).
fof(f5357,plain,
( xm = xk
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f5354,f204]) ).
fof(f5359,plain,
( $false
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f5357,f337]) ).
fof(f5360,plain,
~ spl17_3,
inference(avatar_contradiction_clause,[],[f5359]) ).
fof(f5363,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(X0,xk)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xk) )
| spl17_4 ),
inference(resolution,[],[f3348,f168]) ).
fof(f5368,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xk) )
| spl17_4 ),
inference(forward_subsumption_resolution,[],[f5363,f204]) ).
fof(f5371,plain,
( ! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) )
| spl17_4 ),
inference(forward_subsumption_resolution,[],[f5368,f260]) ).
fof(f5948,plain,
( ~ sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xp)
| spl17_4 ),
inference(resolution,[],[f5371,f254]) ).
fof(f5967,plain,
( ~ aNaturalNumber0(xp)
| spl17_4 ),
inference(forward_subsumption_resolution,[],[f5948,f281]) ).
fof(f5973,plain,
( $false
| spl17_4 ),
inference(forward_subsumption_resolution,[],[f5967,f203]) ).
fof(f5974,plain,
spl17_4,
inference(avatar_contradiction_clause,[],[f5973]) ).
fof(f5980,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ spl17_4 ),
inference(resolution,[],[f314,f160]) ).
fof(f5981,plain,
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ spl17_4
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f5980,f522]) ).
fof(f5983,plain,
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)))
| ~ spl17_4
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f5981,f486]) ).
fof(f6196,plain,
( sdtasdt0(xp,xk) != sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sK0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)))
| ~ spl17_4
| ~ spl17_6
| ~ spl17_7 ),
inference(superposition,[],[f323,f5983]) ).
fof(f6213,plain,
( ~ aNaturalNumber0(sK0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)))
| ~ spl17_4
| ~ spl17_6
| ~ spl17_7 ),
inference(trivial_inequality_removal,[],[f6196]) ).
fof(f6459,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ spl17_4
| ~ spl17_6
| ~ spl17_7 ),
inference(resolution,[],[f6213,f161]) ).
fof(f6462,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ spl17_4
| ~ spl17_6
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f6459,f522]) ).
fof(f6463,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ spl17_4
| ~ spl17_6
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f6462,f486]) ).
fof(f6464,plain,
( $false
| ~ spl17_4
| ~ spl17_6
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f6463,f314]) ).
fof(f6465,plain,
( ~ spl17_4
| ~ spl17_6
| ~ spl17_7 ),
inference(avatar_contradiction_clause,[],[f6464]) ).
fof(f12348,definition,
( spl17_42
<=> xm = sdtasdt0(xp,sK10) ),
introduced(definition,[new_symbols(definition,[spl17_42])],[avatar_definition]) ).
fof(f12349,plain,
( xm = sdtasdt0(xp,sK10)
| ~ spl17_42 ),
inference(avatar_component_clause,[],[f12348]) ).
fof(f12350,plain,
( xm != sdtasdt0(xp,sK10)
| spl17_42 ),
inference(avatar_component_clause,[],[f12348]) ).
fof(f12380,plain,
( xm != sdtasdt0(xp,xk)
| spl17_42 ),
inference(superposition,[],[f12350,f347]) ).
fof(f12498,plain,
( ~ aNaturalNumber0(xp)
| doDivides0(xp,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl17_7 ),
inference(resolution,[],[f1763,f908]) ).
fof(f12506,plain,
( ~ aNaturalNumber0(xp)
| doDivides0(xp,sz00)
| ~ aNaturalNumber0(xm)
| ~ spl17_7 ),
inference(duplicate_literal_removal,[],[f12498]) ).
fof(f12511,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(xm)
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f12506,f203]) ).
fof(f12513,plain,
( doDivides0(xp,sz00)
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f12511,f204]) ).
fof(f12539,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| sz00 = xp
| sz00 = sdtasdt0(xp,sdtsldt0(sz00,xp))
| ~ spl17_7 ),
inference(resolution,[],[f12513,f294]) ).
fof(f12543,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = xp
| sz00 = sdtasdt0(xp,sdtsldt0(sz00,xp))
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f12539,f203]) ).
fof(f12546,plain,
( sz00 = xp
| sz00 = sdtasdt0(xp,sdtsldt0(sz00,xp))
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f12543,f136]) ).
fof(f12548,plain,
( sz00 = sdtasdt0(xp,sdtsldt0(sz00,xp))
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f12546,f245]) ).
fof(f12751,plain,
( sz00 != sz00
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| sz00 = sdtsldt0(sz00,xp)
| sz00 = xp
| ~ spl17_7 ),
inference(superposition,[],[f159,f12548]) ).
fof(f12775,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| sz00 = sdtsldt0(sz00,xp)
| sz00 = xp
| ~ spl17_7 ),
inference(trivial_inequality_removal,[],[f12751]) ).
fof(f12797,plain,
( ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| sz00 = sdtsldt0(sz00,xp)
| sz00 = xp
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f12775,f203]) ).
fof(f12812,plain,
( ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| sz00 = sdtsldt0(sz00,xp)
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f12797,f245]) ).
fof(f13380,definition,
( spl17_58
<=> sz00 = sdtsldt0(sz00,xp) ),
introduced(definition,[new_symbols(definition,[spl17_58])],[avatar_definition]) ).
fof(f13382,plain,
( sz00 = sdtsldt0(sz00,xp)
| ~ spl17_58 ),
inference(avatar_component_clause,[],[f13380]) ).
fof(f13384,definition,
( spl17_59
<=> aNaturalNumber0(sdtsldt0(sz00,xp)) ),
introduced(definition,[new_symbols(definition,[spl17_59])],[avatar_definition]) ).
fof(f13386,plain,
( ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| spl17_59 ),
inference(avatar_component_clause,[],[f13384]) ).
fof(f13387,plain,
( spl17_58
| ~ spl17_59
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f12812,f521,f13384,f13380]) ).
fof(f13437,plain,
( ~ aNaturalNumber0(xp)
| ~ doDivides0(xp,sz00)
| sz00 = xp
| ~ aNaturalNumber0(sz00)
| spl17_59 ),
inference(resolution,[],[f13386,f293]) ).
fof(f13440,plain,
( ~ doDivides0(xp,sz00)
| sz00 = xp
| ~ aNaturalNumber0(sz00)
| spl17_59 ),
inference(forward_subsumption_resolution,[],[f13437,f203]) ).
fof(f13441,plain,
( sz00 = xp
| ~ aNaturalNumber0(sz00)
| ~ spl17_7
| spl17_59 ),
inference(forward_subsumption_resolution,[],[f13440,f12513]) ).
fof(f13442,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl17_7
| spl17_59 ),
inference(forward_subsumption_resolution,[],[f13441,f245]) ).
fof(f13443,plain,
( $false
| ~ spl17_7
| spl17_59 ),
inference(forward_subsumption_resolution,[],[f13442,f136]) ).
fof(f13444,plain,
( ~ spl17_7
| spl17_59 ),
inference(avatar_contradiction_clause,[],[f13443]) ).
fof(f15010,plain,
( xm = sdtasdt0(xn,xm)
| ~ spl17_18 ),
inference(superposition,[],[f445,f4085]) ).
fof(f20386,plain,
( xm = sdtasdt0(xp,xk)
| ~ spl17_18 ),
inference(superposition,[],[f15010,f259]) ).
fof(f20451,plain,
( $false
| ~ spl17_18
| spl17_42 ),
inference(forward_subsumption_resolution,[],[f20386,f12380]) ).
fof(f20452,plain,
( ~ spl17_18
| spl17_42 ),
inference(avatar_contradiction_clause,[],[f20451]) ).
fof(f20724,plain,
( sdtlseqdt0(xp,xm)
| ~ aNaturalNumber0(sK10)
| sz00 = sK10
| ~ aNaturalNumber0(xp)
| ~ spl17_42 ),
inference(superposition,[],[f180,f12349]) ).
fof(f20760,plain,
( ~ aNaturalNumber0(sK10)
| sz00 = sK10
| ~ aNaturalNumber0(xp)
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f20724,f249]) ).
fof(f20789,plain,
( sz00 = sK10
| ~ aNaturalNumber0(xp)
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f20760,f241]) ).
fof(f20816,plain,
( ~ aNaturalNumber0(xp)
| spl17_16
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f20789,f3635]) ).
fof(f20838,plain,
( $false
| spl17_16
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f20816,f203]) ).
fof(f20839,plain,
( spl17_16
| ~ spl17_42 ),
inference(avatar_contradiction_clause,[],[f20838]) ).
fof(f21154,plain,
( xk = sdtsldt0(sdtasdt0(xp,sz00),xp)
| ~ spl17_16 ),
inference(superposition,[],[f346,f3636]) ).
fof(f21204,plain,
( xk = sdtsldt0(sz00,xp)
| ~ spl17_16 ),
inference(forward_demodulation,[],[f21154,f447]) ).
fof(f21212,plain,
( sz00 = xk
| ~ spl17_16
| ~ spl17_58 ),
inference(forward_demodulation,[],[f21204,f13382]) ).
fof(f21213,plain,
( $false
| ~ spl17_16
| ~ spl17_58 ),
inference(forward_subsumption_resolution,[],[f21212,f262]) ).
fof(f21214,plain,
( ~ spl17_16
| ~ spl17_58 ),
inference(avatar_contradiction_clause,[],[f21213]) ).
fof(f49884,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,sK10),sdtasdt0(X0,xm))
| ~ sdtlseqdt0(xn,X0)
| xn = X0
| ~ aNaturalNumber0(X0) )
| spl17_18 ),
inference(forward_subsumption_resolution,[],[f3251,f4086]) ).
fof(f49885,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(X0,xm))
| ~ sdtlseqdt0(xn,X0)
| xn = X0
| ~ aNaturalNumber0(X0) )
| spl17_18 ),
inference(forward_demodulation,[],[f49884,f347]) ).
fof(f50380,plain,
( ~ sdtlseqdt0(xn,xp)
| xn = xp
| ~ aNaturalNumber0(xp)
| spl17_2
| spl17_18 ),
inference(resolution,[],[f49885,f352]) ).
fof(f50418,plain,
( xn = xp
| ~ aNaturalNumber0(xp)
| spl17_2
| spl17_18 ),
inference(forward_subsumption_resolution,[],[f50380,f256]) ).
fof(f50423,plain,
( ~ aNaturalNumber0(xp)
| spl17_2
| spl17_18 ),
inference(forward_subsumption_resolution,[],[f50418,f257]) ).
fof(f50426,plain,
( $false
| spl17_2
| spl17_18 ),
inference(forward_subsumption_resolution,[],[f50423,f203]) ).
fof(f50427,plain,
( spl17_2
| spl17_18 ),
inference(avatar_contradiction_clause,[],[f50426]) ).
cnf(s4,plain,
( ~ spl17_1
| spl17_3 ),
inference(sat_conversion,[],[f340]) ).
cnf(s8,plain,
spl17_7,
inference(sat_conversion,[],[f534]) ).
cnf(s9,plain,
( spl17_1
| ~ spl17_2
| spl17_3
| spl17_6 ),
inference(sat_conversion,[],[f550]) ).
cnf(s26,plain,
~ spl17_3,
inference(sat_conversion,[],[f5360]) ).
cnf(s28,plain,
spl17_4,
inference(sat_conversion,[],[f5974]) ).
cnf(s31,plain,
( ~ spl17_4
| ~ spl17_6
| ~ spl17_7 ),
inference(sat_conversion,[],[f6465]) ).
cnf(s62,plain,
( ~ spl17_7
| spl17_58
| ~ spl17_59 ),
inference(sat_conversion,[],[f13387]) ).
cnf(s63,plain,
( ~ spl17_7
| spl17_59 ),
inference(sat_conversion,[],[f13444]) ).
cnf(s75,plain,
( ~ spl17_18
| spl17_42 ),
inference(sat_conversion,[],[f20452]) ).
cnf(s77,plain,
( spl17_16
| ~ spl17_42 ),
inference(sat_conversion,[],[f20839]) ).
cnf(s85,plain,
( ~ spl17_16
| ~ spl17_58 ),
inference(sat_conversion,[],[f21214]) ).
cnf(s112,plain,
( spl17_2
| spl17_18 ),
inference(sat_conversion,[],[f50427]) ).
cnf(s116,plain,
( spl17_1
| ~ spl17_2
| spl17_6 ),
inference(rat,[],[s9,s26]) ).
cnf(s117,plain,
spl17_59,
inference(rat,[],[s63,s8]) ).
cnf(s118,plain,
spl17_58,
inference(rat,[],[s62,s117,s8]) ).
cnf(s125,plain,
~ spl17_6,
inference(rat,[],[s31,s28,s8]) ).
cnf(s126,plain,
~ spl17_16,
inference(rat,[],[s85,s118]) ).
cnf(s127,plain,
~ spl17_42,
inference(rat,[],[s77,s126]) ).
cnf(s130,plain,
~ spl17_18,
inference(rat,[],[s75,s127]) ).
cnf(s132,plain,
spl17_2,
inference(rat,[],[s112,s130]) ).
cnf(s136,plain,
spl17_1,
inference(rat,[],[s116,s125,s132]) ).
cnf(s144,plain,
$false,
inference(rat,[],[s4,s26,s136]) ).
fof(f50428,plain,
$false,
inference(avatar_sat_refutation,[],[s144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM503+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 % Computer : n011.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 20:14:00 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.45 Running first-order model finding
% 0.12/0.45 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
% 14.42/2.54 % (2730826)Will run a generic schedule for satisfiability detection.
% 14.42/2.54 % (2730835)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=123941060:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.42/2.54 % (2730832)% WARNING: option uhcvi not known.
% 14.42/2.54 % (2730832)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3790052018:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.42/2.54 % (2730831)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=982791964_2999 on theBenchmark for (2999ds/0Mi)
% 14.42/2.54 % (2730833)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1601495518:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.42/2.54 % (2730834)dis+10_1_sil=32000:sp=arity:random_seed=466512836:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.42/2.54 % (2730836)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1890916784:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.42/2.54 % (2730837)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1975921340:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.42/2.54 % Detected minimum model sizes of [3]
% 14.42/2.54 % Detected maximum model sizes of [max]
% 14.42/2.54 % TRYING [3]
% 14.42/2.54 % TRYING [4]
% 14.42/2.54 % (2730835)Instruction limit reached!
% 14.42/2.54 % (2730835)------------------------------
% 14.42/2.54 % (2730835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.42/2.54 % (2730835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/2.54 % (2730835)CaDiCaL version: 2.1.3
% 14.42/2.54 % (2730835)Termination reason: Instruction limit
% 14.42/2.54 % (2730835)Termination phase: Saturation
% 14.42/2.54 % (2730835)Time elapsed: 0.034 s
% 14.42/2.54 % (2730835)Peak memory usage: 13 MB
% 14.42/2.54 % (2730835)Instructions burned: 117 (million)
% 14.42/2.54 % (2730845)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3200035002:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.42/2.54 % Detected minimum model sizes of [3]
% 14.42/2.54 % Detected maximum model sizes of [max]
% 14.42/2.54 % TRYING [3]
% 14.42/2.54 % TRYING [4]
% 14.42/2.54 % (2730834)Instruction limit reached!
% 14.42/2.54 % (2730834)------------------------------
% 14.42/2.54 % (2730834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.42/2.54 % (2730834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/2.54 % (2730834)CaDiCaL version: 2.1.3
% 14.42/2.54 % (2730834)Termination reason: Instruction limit
% 14.42/2.54 % (2730834)Termination phase: Saturation
% 14.42/2.54 % (2730834)Time elapsed: 0.057 s
% 14.42/2.54 % (2730834)Peak memory usage: 12 MB
% 14.42/2.54 % (2730834)Instructions burned: 104 (million)
% 14.42/2.54 % TRYING [5]
% 14.42/2.54 % (2730836)Instruction limit reached!
% 14.42/2.54 % (2730836)------------------------------
% 14.42/2.54 % (2730836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.42/2.54 % (2730836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/2.54 % (2730836)CaDiCaL version: 2.1.3
% 14.42/2.54 % (2730836)Termination reason: Instruction limit
% 14.42/2.54 % (2730836)Termination phase: Saturation
% 14.42/2.54 % (2730836)Time elapsed: 0.069 s
% 14.42/2.54 % (2730836)Peak memory usage: 13 MB
% 14.42/2.54 % (2730836)Instructions burned: 131 (million)
% 14.42/2.54 % (2730847)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2165321087:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.42/2.54 % TRYING [5]
% 14.42/2.54 % (2730849)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=3319243640:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.42/2.54 % (2730837)Instruction limit reached!
% 14.42/2.54 % (2730837)------------------------------
% 14.42/2.54 % (2730837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.42/2.54 % (2730837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/2.54 % (2730837)CaDiCaL version: 2.1.3
% 14.42/2.54 % (2730837)Termination reason: Instruction limit
% 14.42/2.54 % (2730837)Termination phase: Saturation
% 14.42/2.54 % (2730837)Time elapsed: 0.091 s
% 14.42/2.54 % (2730837)Peak memory usage: 13 MB
% 14.42/2.54 % (2730837)Instructions burned: 160 (million)
% 14.42/2.54 % (2730858)ott-21_1_sil=16000:fs=off:random_seed=3886398424:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.42/2.54 % TRYING [6]
% 14.42/2.54 % (2730847)Instruction limit reached!
% 14.42/2.54 % (2730847)------------------------------
% 16.91/3.02 % (2730847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2730847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2730847)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2730847)Termination reason: Instruction limit
% 16.91/3.02 % (2730847)Termination phase: Saturation
% 16.91/3.02 % (2730847)Time elapsed: 0.063 s
% 16.91/3.02 % (2730847)Peak memory usage: 12 MB
% 16.91/3.02 % (2730847)Instructions burned: 131 (million)
% 16.91/3.02 % (2730868)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2499202724:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.91/3.02 % TRYING [6]
% 16.91/3.02 % (2730845)Instruction limit reached!
% 16.91/3.02 % (2730845)------------------------------
% 16.91/3.02 % (2730845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2730845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2730845)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2730845)Termination reason: Instruction limit
% 16.91/3.02 % (2730845)Termination phase: Finite model building constraint generation
% 16.91/3.02 % (2730845)Time elapsed: 0.137 s
% 16.91/3.02 % (2730845)Peak memory usage: 30 MB
% 16.91/3.02 % (2730845)Instructions burned: 714 (million)
% 16.91/3.02 % (2730880)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2488652617:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.91/3.02 % Detected minimum model sizes of [3]
% 16.91/3.02 % Detected maximum model sizes of [max]
% 16.91/3.02 % TRYING [3]
% 16.91/3.02 % (2730858)Instruction limit reached!
% 16.91/3.02 % (2730858)------------------------------
% 16.91/3.02 % (2730858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2730858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2730858)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2730858)Termination reason: Instruction limit
% 16.91/3.02 % (2730858)Termination phase: Saturation
% 16.91/3.02 % (2730858)Time elapsed: 0.095 s
% 16.91/3.02 % (2730858)Peak memory usage: 13 MB
% 16.91/3.02 % (2730858)Instructions burned: 181 (million)
% 16.91/3.02 % TRYING [4]
% 16.91/3.02 % (2730891)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1116023377:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 16.91/3.02 % TRYING [5]
% 16.91/3.02 % TRYING [7]
% 16.91/3.02 % (2730880)Instruction limit reached!
% 16.91/3.02 % (2730880)------------------------------
% 16.91/3.02 % (2730880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2730880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2730880)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2730880)Termination reason: Instruction limit
% 16.91/3.02 % (2730880)Termination phase: Finite model building SAT solving
% 16.91/3.02 % (2730880)Time elapsed: 0.193 s
% 16.91/3.02 % (2730880)Peak memory usage: 24 MB
% 16.91/3.02 % (2730880)Instructions burned: 868 (million)
% 16.91/3.02 % (2730941)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1574509432:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 16.91/3.02 % (2730849)Instruction limit reached!
% 16.91/3.02 % (2730849)------------------------------
% 16.91/3.02 % (2730849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2730849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2730849)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2730849)Termination reason: Instruction limit
% 16.91/3.02 % (2730849)Termination phase: Saturation
% 16.91/3.02 % (2730849)Time elapsed: 0.385 s
% 16.91/3.02 % (2730849)Peak memory usage: 19 MB
% 16.91/3.02 % (2730849)Instructions burned: 684 (million)
% 16.91/3.02 % (2730868)Instruction limit reached!
% 16.91/3.02 % (2730868)------------------------------
% 16.91/3.02 % (2730868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2730868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2730868)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2730868)Termination reason: Instruction limit
% 16.91/3.02 % (2730868)Termination phase: Saturation
% 16.91/3.02 % (2730868)Time elapsed: 0.318 s
% 16.91/3.02 % (2730868)Peak memory usage: 14 MB
% 16.91/3.02 % (2730868)Instructions burned: 477 (million)
% 16.91/3.02 % (2730952)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=2967354715: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)
% 16.91/3.02 % (2730953)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1711365406:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 16.91/3.02 % TRYING [14]
% 16.91/3.02 % (2730941)Instruction limit reached!
% 16.91/3.02 % (2730941)------------------------------
% 16.91/3.02 % (2730941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2730941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2730941)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2730941)Termination reason: Instruction limit
% 16.91/3.02 % (2730941)Termination phase: Finite model building constraint generation
% 16.91/3.02 % (2730941)Time elapsed: 0.191 s
% 16.91/3.02 % (2730941)Peak memory usage: 77 MB
% 16.91/3.02 % (2730941)Instructions burned: 891 (million)
% 16.91/3.02 % (2730966)fmb+10_1_sil=64000:random_seed=25742909:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 16.91/3.02 % Detected minimum model sizes of [3]
% 16.91/3.02 % Detected maximum model sizes of [max]
% 16.91/3.02 % TRYING [3]
% 16.91/3.02 % TRYING [4]
% 16.91/3.02 % TRYING [5]
% 16.91/3.02 % TRYING [6]
% 16.91/3.02 % TRYING [8]
% 16.91/3.02 % (2730952)Instruction limit reached!
% 16.91/3.02 % (2730952)------------------------------
% 16.91/3.02 % (2730952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2730952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2730952)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2730952)Termination reason: Instruction limit
% 16.91/3.02 % (2730952)Termination phase: Saturation
% 16.91/3.02 % (2730952)Time elapsed: 0.403 s
% 16.91/3.02 % (2730952)Peak memory usage: 19 MB
% 16.91/3.02 % (2730952)Instructions burned: 692 (million)
% 16.91/3.02 % (2730995)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1710210015:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 16.91/3.02 % Detected minimum model sizes of [3]
% 16.91/3.02 % Detected maximum model sizes of [max]
% 16.91/3.02 % TRYING [20]
% 16.91/3.02 % (2730891)Instruction limit reached!
% 16.91/3.02 % (2730891)------------------------------
% 16.91/3.02 % (2730891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2730891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2730891)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2730891)Termination reason: Instruction limit
% 16.91/3.02 % (2730891)Termination phase: Saturation
% 16.91/3.02 % (2730891)Time elapsed: 0.753 s
% 16.91/3.02 % (2730891)Peak memory usage: 23 MB
% 16.91/3.02 % (2730891)Instructions burned: 1179 (million)
% 16.91/3.02 % (2731000)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=851724382:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 16.91/3.02 % Detected minimum model sizes of [3]
% 16.91/3.02 % Detected maximum model sizes of [max]
% 16.91/3.02 % TRYING [8]
% 16.91/3.02 % (2730953)Instruction limit reached!
% 16.91/3.02 % (2730953)------------------------------
% 16.91/3.02 % (2730953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2730953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2730953)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2730953)Termination reason: Instruction limit
% 16.91/3.02 % (2730953)Termination phase: Saturation
% 16.91/3.02 % (2730953)Time elapsed: 0.577 s
% 16.91/3.02 % (2730953)Peak memory usage: 21 MB
% 16.91/3.02 % (2730953)Instructions burned: 880 (million)
% 16.91/3.02 % (2731008)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3790575080:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 16.91/3.02 % TRYING [7]
% 16.91/3.02 % (2731000)Instruction limit reached!
% 16.91/3.02 % (2731000)------------------------------
% 16.91/3.02 % (2731000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2731000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2731000)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2731000)Termination reason: Instruction limit
% 16.91/3.02 % (2731000)Termination phase: Finite model building constraint generation
% 16.91/3.02 % (2731000)Time elapsed: 0.363 s
% 16.91/3.02 % (2731000)Peak memory usage: 70 MB
% 16.91/3.02 % (2731000)Instructions burned: 921 (million)
% 16.91/3.02 % (2731071)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1572164476:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 16.91/3.02 % TRYING [9]
% 16.91/3.02 % (2731071)Instruction limit reached!
% 16.91/3.02 % (2731071)------------------------------
% 16.91/3.02 % (2731071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.02 % (2731071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.02 % (2731071)CaDiCaL version: 2.1.3
% 16.91/3.02 % (2731071)Termination reason: Instruction limit
% 16.91/3.02 % (2731071)Termination phase: Saturation
% 16.91/3.02 % (2731071)Time elapsed: 0.640 s
% 16.91/3.02 % (2731071)Peak memory usage: 16 MB
% 16.91/3.02 % (2731071)Instructions burned: 1472 (million)
% 16.91/3.02 % (2731164)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1858407968:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 16.91/3.02 % Detected minimum model sizes of [3]
% 16.91/3.02 % Detected maximum model sizes of [max]
% 16.91/3.02 % TRYING [77]
% 16.91/3.02 % TRYING [8]
% 16.91/3.02 % (2731008) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2730826-2731008"...
% 16.91/3.02 % (2731008)...printing done.
% 16.91/3.02 % (2731008)Refutation found. Thanks to Tanya!
% 16.91/3.02 % SZS status Theorem for theBenchmark
% 16.91/3.02 % SZS output start Proof for theBenchmark
% See solution above
% 16.91/3.03 % (2731008)------------------------------
% 16.91/3.03 % (2731008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.91/3.03 % (2731008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.03 % (2731008)CaDiCaL version: 2.1.3
% 16.91/3.03 % (2731008)Termination reason: Refutation
% 16.91/3.03 % (2731008)Time elapsed: 1.381 s
% 16.91/3.03 % (2731008)Peak memory usage: 26 MB
% 16.91/3.03 % (2731008)Instructions burned: 2638 (million)
% 16.91/3.03 % (2730826)Success in time 2.568 s
% 16.91/3.03 % Vampire exiting
%------------------------------------------------------------------------------