%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM528+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 : n009.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 12:24:41 PM UTC 2026
% Result : Theorem 20.62s 5.72s
% Output : Refutation 20.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 39
% Syntax : Number of formulae : 244 ( 51 unt; 19 def)
% Number of atoms : 766 ( 231 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 796 ( 274 ~; 425 |; 52 &)
% ( 25 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 20 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 127 ( 0 sgn 127 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
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(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(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(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(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
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(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).
fof(f43,axiom,
isPrime0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3025) ).
fof(f44,axiom,
( doDivides0(xp,sdtasdt0(xn,xn))
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
fof(f45,axiom,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
fof(f46,axiom,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3082) ).
fof(f47,axiom,
( sdtlseqdt0(xn,xm)
=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3152) ).
fof(f48,conjecture,
( xm != xn
& sdtlseqdt0(xm,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f49,negated_conjecture,
~ ( xm != xn
& sdtlseqdt0(xm,xn) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f64,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f65,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f70,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(f71,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,[],[f70]) ).
fof(f74,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f75,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f74]) ).
fof(f81,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f82,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f81]) ).
fof(f85,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f86,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f85]) ).
fof(f89,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(f90,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,[],[f89]) ).
fof(f91,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f92,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f91]) ).
fof(f101,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(f102,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,[],[f101]) ).
fof(f113,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f114,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f113]) ).
fof(f121,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(ennf_transformation,[],[f47]) ).
fof(f122,plain,
( xn = xm
| ~ sdtlseqdt0(xm,xn) ),
inference(ennf_transformation,[],[f49]) ).
fof(f125,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f134,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f137,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f65]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f146,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f154,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f82]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f166,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f92]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f102]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f102]) ).
fof(f185,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 != X0
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f191,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f193,plain,
sz00 != xn,
inference(cnf_transformation,[],[f40]) ).
fof(f194,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f195,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f196,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f198,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f199,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f43]) ).
fof(f200,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f44]) ).
fof(f202,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f203,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f46]) ).
fof(f204,plain,
( ~ sdtlseqdt0(xn,xm)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f205,plain,
( ~ sdtlseqdt0(xm,xn)
| xn = xm ),
inference(cnf_transformation,[],[f122]) ).
fof(f213,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f173]) ).
fof(f214,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f172]) ).
fof(f216,plain,
( ~ aNaturalNumber0(sz10)
| ~ isPrime0(sz10) ),
inference(equality_resolution,[],[f185]) ).
fof(f218,plain,
~ aNaturalNumber0(sz10),
inference(consistent_polarity_flipping,[],[f125]) ).
fof(f220,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X0,X1))
| aNaturalNumber0(X0)
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f228,plain,
! [X0] :
( aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(consistent_polarity_flipping,[],[f134]) ).
fof(f229,plain,
! [X0] :
( aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(consistent_polarity_flipping,[],[f137]) ).
fof(f236,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| sz00 = X0
| aNaturalNumber0(X2)
| aNaturalNumber0(X1)
| aNaturalNumber0(X0)
| X1 = X2 ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f239,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sz00 = X1
| sz00 = X0 ),
inference(consistent_polarity_flipping,[],[f146]) ).
fof(f247,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| aNaturalNumber0(X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f250,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| aNaturalNumber0(X1)
| aNaturalNumber0(X0) ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| aNaturalNumber0(X1)
| aNaturalNumber0(X0)
| aNaturalNumber0(X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f259,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| aNaturalNumber0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f266,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f267,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f274,plain,
( aNaturalNumber0(sz10)
| isPrime0(sz10) ),
inference(consistent_polarity_flipping,[],[f216]) ).
fof(f284,plain,
~ aNaturalNumber0(xn),
inference(consistent_polarity_flipping,[],[f196]) ).
fof(f285,plain,
~ aNaturalNumber0(xm),
inference(consistent_polarity_flipping,[],[f195]) ).
fof(f286,plain,
~ aNaturalNumber0(xp),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f288,plain,
~ isPrime0(xp),
inference(consistent_polarity_flipping,[],[f199]) ).
fof(f291,definition,
( spl4_1
<=> xn = xm ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f293,plain,
( xn = xm
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f295,definition,
( spl4_2
<=> sdtlseqdt0(xm,xn) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f297,plain,
( ~ sdtlseqdt0(xm,xn)
| spl4_2 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f298,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f205,f295,f291]) ).
fof(f300,definition,
( spl4_3
<=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f302,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f304,definition,
( spl4_4
<=> sdtlseqdt0(xn,xm) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f307,plain,
( spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f204,f304,f300]) ).
fof(f309,definition,
( spl4_5
<=> isPrime0(sz10) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f311,plain,
( isPrime0(sz10)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f313,definition,
( spl4_6
<=> aNaturalNumber0(sz10) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f314,plain,
( ~ aNaturalNumber0(sz10)
| spl4_6 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f316,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f274,f313,f309]) ).
fof(f326,plain,
~ spl4_6,
inference(avatar_split_clause,[],[f218,f313]) ).
fof(f352,plain,
sz00 = sdtasdt0(xp,sz00),
inference(resolution,[],[f229,f286]) ).
fof(f380,definition,
( spl4_9
<=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f381,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl4_9 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f384,definition,
( spl4_10
<=> aNaturalNumber0(sdtasdt0(xn,xn)) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f385,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f386,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xn))
| spl4_10 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f388,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| aNaturalNumber0(xp)
| aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[],[f220,f203]) ).
fof(f389,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[],[f388,f286]) ).
fof(f391,definition,
( spl4_11
<=> aNaturalNumber0(sdtasdt0(xq,xq)) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f393,plain,
( aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f394,plain,
( spl4_11
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f389,f380,f391]) ).
fof(f397,plain,
( sdtasdt0(xm,xm) = sdtasdt0(sz10,sdtasdt0(xm,xm))
| spl4_9 ),
inference(resolution,[],[f381,f228]) ).
fof(f402,plain,
( sdtlseqdt0(xn,xm)
| aNaturalNumber0(xn)
| aNaturalNumber0(xm)
| spl4_2 ),
inference(resolution,[],[f250,f297]) ).
fof(f413,plain,
( sdtlseqdt0(xn,xm)
| aNaturalNumber0(xm)
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f402,f284]) ).
fof(f415,plain,
( sdtlseqdt0(xn,xm)
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f413,f285]) ).
fof(f417,plain,
( spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f415,f295,f304]) ).
fof(f420,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sz10,sdtasdt0(xn,xn))
| spl4_10 ),
inference(resolution,[],[f386,f228]) ).
fof(f563,definition,
( spl4_12
<=> sz00 = sdtasdt0(xq,xq) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f565,plain,
( sz00 = sdtasdt0(xq,xq)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f574,definition,
( spl4_14
<=> sz00 = sdtasdt0(xm,xm) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f634,definition,
( spl4_16
<=> sdtasdt0(xm,xm) = sdtasdt0(xn,xn) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
fof(f638,definition,
( spl4_17
<=> sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f708,definition,
( spl4_21
<=> sz00 = sdtasdt0(xn,xn) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f710,plain,
( sz00 = sdtasdt0(xn,xn)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f811,plain,
( aNaturalNumber0(xp)
| aNaturalNumber0(xn)
| sz00 = xp
| ~ aNaturalNumber0(sdtsldt0(xn,xp)) ),
inference(resolution,[],[f266,f200]) ).
fof(f820,plain,
( aNaturalNumber0(xn)
| sz00 = xp
| ~ aNaturalNumber0(sdtsldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[],[f811,f286]) ).
fof(f822,plain,
( sz00 = xp
| ~ aNaturalNumber0(sdtsldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[],[f820,f284]) ).
fof(f824,plain,
~ aNaturalNumber0(sdtsldt0(xn,xp)),
inference(forward_subsumption_resolution,[],[f822,f191]) ).
fof(f825,plain,
~ aNaturalNumber0(xq),
inference(forward_demodulation,[],[f824,f202]) ).
fof(f858,plain,
( sz00 != sdtasdt0(xm,xm)
| aNaturalNumber0(xp)
| aNaturalNumber0(sdtasdt0(xq,xq))
| sz00 = sdtasdt0(xq,xq)
| sz00 = xp ),
inference(superposition,[],[f239,f203]) ).
fof(f860,plain,
( sz00 != sdtasdt0(xm,xm)
| aNaturalNumber0(sdtasdt0(xq,xq))
| sz00 = sdtasdt0(xq,xq)
| sz00 = xp ),
inference(forward_subsumption_resolution,[],[f858,f286]) ).
fof(f862,plain,
( sz00 != sdtasdt0(xm,xm)
| aNaturalNumber0(sdtasdt0(xq,xq))
| sz00 = sdtasdt0(xq,xq) ),
inference(forward_subsumption_resolution,[],[f860,f191]) ).
fof(f864,plain,
( spl4_12
| spl4_11
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f862,f574,f391,f563]) ).
fof(f932,definition,
( spl4_25
<=> sz10 = xp ),
introduced(definition,[new_symbols(definition,[spl4_25])],[avatar_definition]) ).
fof(f933,plain,
( sz10 != xp
| spl4_25 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f934,plain,
( sz10 = xp
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f1247,plain,
( aNaturalNumber0(xp)
| aNaturalNumber0(xn)
| sz00 = xp
| xn = sdtasdt0(xp,sdtsldt0(xn,xp)) ),
inference(resolution,[],[f267,f200]) ).
fof(f1259,plain,
( aNaturalNumber0(xn)
| sz00 = xp
| xn = sdtasdt0(xp,sdtsldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[],[f1247,f286]) ).
fof(f1266,plain,
( sz00 = xp
| xn = sdtasdt0(xp,sdtsldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[],[f1259,f284]) ).
fof(f1272,plain,
xn = sdtasdt0(xp,sdtsldt0(xn,xp)),
inference(forward_subsumption_resolution,[],[f1266,f191]) ).
fof(f1279,plain,
xn = sdtasdt0(xp,xq),
inference(forward_demodulation,[],[f1272,f202]) ).
fof(f1489,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
| sz00 = sdtasdt0(xm,xm)
| aNaturalNumber0(X0)
| aNaturalNumber0(xp)
| aNaturalNumber0(sdtasdt0(xm,xm))
| xp = X0 ),
inference(superposition,[],[f236,f198]) ).
fof(f1508,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
| sz00 = sdtasdt0(xm,xm)
| aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(xm,xm))
| xp = X0 ),
inference(forward_subsumption_resolution,[],[f1489,f286]) ).
fof(f1599,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xn,xn))
| ~ spl4_1 ),
inference(superposition,[],[f198,f293]) ).
fof(f1820,plain,
! [X0,X1] :
( aNaturalNumber0(sz10)
| aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sz10 = X1
| sz00 = X0
| sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(X1,X0))
| aNaturalNumber0(X1)
| sz10 = X1
| sz00 = X1 ),
inference(resolution,[],[f258,f259]) ).
fof(f1826,plain,
! [X0,X1] :
( aNaturalNumber0(sz10)
| aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sz10 = X1
| sz00 = X0
| sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(X1,X0))
| sz00 = X1 ),
inference(duplicate_literal_removal,[],[f1820]) ).
fof(f1835,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(X1,X0))
| aNaturalNumber0(X1)
| sz10 = X1
| sz00 = X0
| aNaturalNumber0(X0)
| sz00 = X1 )
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f1826,f314]) ).
fof(f1934,definition,
( spl4_56
<=> sz00 = xq ),
introduced(definition,[new_symbols(definition,[spl4_56])],[avatar_definition]) ).
fof(f1936,plain,
( sz00 = xq
| ~ spl4_56 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f2158,plain,
( aNaturalNumber0(xn)
| aNaturalNumber0(xn)
| ~ spl4_10 ),
inference(resolution,[],[f385,f220]) ).
fof(f2159,plain,
( aNaturalNumber0(xn)
| ~ spl4_10 ),
inference(duplicate_literal_removal,[],[f2158]) ).
fof(f2160,plain,
( $false
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f2159,f284]) ).
fof(f2161,plain,
~ spl4_10,
inference(avatar_contradiction_clause,[],[f2160]) ).
fof(f2272,definition,
( spl4_84
<=> ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xn,xn))
| xp = X0
| aNaturalNumber0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_84])],[avatar_definition]) ).
fof(f2273,plain,
( ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xn,xn))
| xp = X0
| aNaturalNumber0(X0) )
| ~ spl4_84 ),
inference(avatar_component_clause,[],[f2272]) ).
fof(f2531,plain,
( ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xn,xn))
| sz00 = sdtasdt0(xn,xn)
| aNaturalNumber0(X0)
| aNaturalNumber0(xp)
| aNaturalNumber0(sdtasdt0(xn,xn))
| xp = X0 )
| ~ spl4_1 ),
inference(superposition,[],[f236,f1599]) ).
fof(f2539,plain,
( ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xn,xn))
| sz00 = sdtasdt0(xn,xn)
| aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(xn,xn))
| xp = X0 )
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f2531,f286]) ).
fof(f2544,plain,
( spl4_10
| spl4_21
| spl4_84
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f2539,f291,f2272,f708,f384]) ).
fof(f2648,plain,
( ~ isPrime0(sz10)
| ~ spl4_25 ),
inference(superposition,[],[f288,f934]) ).
fof(f2658,plain,
( $false
| ~ spl4_5
| ~ spl4_25 ),
inference(forward_subsumption_resolution,[],[f2648,f311]) ).
fof(f2659,plain,
( ~ spl4_5
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f2658]) ).
fof(f2763,plain,
( aNaturalNumber0(xq)
| aNaturalNumber0(xq)
| ~ spl4_11 ),
inference(resolution,[],[f393,f220]) ).
fof(f2764,plain,
( aNaturalNumber0(xq)
| ~ spl4_11 ),
inference(duplicate_literal_removal,[],[f2763]) ).
fof(f2765,plain,
( $false
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f2764,f825]) ).
fof(f2766,plain,
~ spl4_11,
inference(avatar_contradiction_clause,[],[f2765]) ).
fof(f3117,plain,
( sz00 != sz00
| aNaturalNumber0(xq)
| aNaturalNumber0(xq)
| sz00 = xq
| sz00 = xq
| ~ spl4_12 ),
inference(superposition,[],[f239,f565]) ).
fof(f3124,plain,
( sz00 != sz00
| aNaturalNumber0(xq)
| sz00 = xq
| ~ spl4_12 ),
inference(duplicate_literal_removal,[],[f3117]) ).
fof(f3125,plain,
( aNaturalNumber0(xq)
| sz00 = xq
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f3124]) ).
fof(f3134,plain,
( sz00 = xq
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f3125,f825]) ).
fof(f3145,plain,
( spl4_56
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f3134,f563,f1934]) ).
fof(f3223,plain,
( sz00 != sz00
| aNaturalNumber0(xn)
| aNaturalNumber0(xn)
| sz00 = xn
| sz00 = xn
| ~ spl4_21 ),
inference(superposition,[],[f239,f710]) ).
fof(f3230,plain,
( sz00 != sz00
| aNaturalNumber0(xn)
| sz00 = xn
| ~ spl4_21 ),
inference(duplicate_literal_removal,[],[f3223]) ).
fof(f3231,plain,
( aNaturalNumber0(xn)
| sz00 = xn
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f3230]) ).
fof(f3240,plain,
( sz00 = xn
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f3231,f284]) ).
fof(f3247,plain,
( $false
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f3240,f193]) ).
fof(f3248,plain,
~ spl4_21,
inference(avatar_contradiction_clause,[],[f3247]) ).
fof(f19452,plain,
( sdtlseqdt0(sdtasdt0(sz10,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| aNaturalNumber0(xp)
| sz10 = xp
| sz00 = sdtasdt0(xm,xm)
| aNaturalNumber0(sdtasdt0(xm,xm))
| sz00 = xp
| spl4_6 ),
inference(superposition,[],[f1835,f198]) ).
fof(f19466,plain,
( sdtlseqdt0(sdtasdt0(sz10,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| sz10 = xp
| sz00 = sdtasdt0(xm,xm)
| aNaturalNumber0(sdtasdt0(xm,xm))
| sz00 = xp
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f19452,f286]) ).
fof(f19493,plain,
( sdtlseqdt0(sdtasdt0(sz10,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| sz00 = sdtasdt0(xm,xm)
| aNaturalNumber0(sdtasdt0(xm,xm))
| sz00 = xp
| spl4_6
| spl4_25 ),
inference(forward_subsumption_resolution,[],[f19466,f933]) ).
fof(f19508,plain,
( sdtlseqdt0(sdtasdt0(sz10,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| sz00 = sdtasdt0(xm,xm)
| aNaturalNumber0(sdtasdt0(xm,xm))
| spl4_6
| spl4_25 ),
inference(forward_subsumption_resolution,[],[f19493,f191]) ).
fof(f41406,definition,
( spl4_1528
<=> ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
| xp = X0
| aNaturalNumber0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_1528])],[avatar_definition]) ).
fof(f41407,plain,
( ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
| xp = X0
| aNaturalNumber0(X0) )
| ~ spl4_1528 ),
inference(avatar_component_clause,[],[f41406]) ).
fof(f41410,plain,
( spl4_9
| spl4_14
| spl4_1528 ),
inference(avatar_split_clause,[],[f1508,f41406,f574,f380]) ).
fof(f41545,definition,
( spl4_1546
<=> sdtlseqdt0(sdtasdt0(sz10,sdtasdt0(xm,xm)),sdtasdt0(xn,xn)) ),
introduced(definition,[new_symbols(definition,[spl4_1546])],[avatar_definition]) ).
fof(f41547,plain,
( sdtlseqdt0(sdtasdt0(sz10,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| ~ spl4_1546 ),
inference(avatar_component_clause,[],[f41545]) ).
fof(f41548,plain,
( spl4_9
| spl4_14
| spl4_1546
| spl4_6
| spl4_25 ),
inference(avatar_split_clause,[],[f19508,f932,f313,f41545,f574,f380]) ).
fof(f41857,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ spl4_3 ),
inference(resolution,[],[f302,f247]) ).
fof(f41873,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ spl4_3
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f41857,f386]) ).
fof(f41889,plain,
( spl4_16
| spl4_9
| ~ spl4_17
| ~ spl4_3
| spl4_10 ),
inference(avatar_split_clause,[],[f41873,f384,f300,f638,f380,f634]) ).
fof(f81433,plain,
( xn = sdtasdt0(xp,sz00)
| ~ spl4_56 ),
inference(superposition,[],[f1279,f1936]) ).
fof(f81509,plain,
( sz00 = xn
| ~ spl4_56 ),
inference(forward_demodulation,[],[f81433,f352]) ).
fof(f81516,plain,
( $false
| ~ spl4_56 ),
inference(forward_subsumption_resolution,[],[f81509,f193]) ).
fof(f81517,plain,
~ spl4_56,
inference(avatar_contradiction_clause,[],[f81516]) ).
fof(f164142,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| sz10 = xp
| aNaturalNumber0(sz10)
| spl4_9
| ~ spl4_1528 ),
inference(superposition,[],[f41407,f397]) ).
fof(f165490,plain,
( sdtasdt0(xn,xn) != sdtasdt0(xn,xn)
| sz10 = xp
| aNaturalNumber0(sz10)
| spl4_10
| ~ spl4_84 ),
inference(superposition,[],[f2273,f420]) ).
fof(f165528,plain,
( sz10 = xp
| aNaturalNumber0(sz10)
| spl4_10
| ~ spl4_84 ),
inference(trivial_inequality_removal,[],[f165490]) ).
fof(f165548,plain,
( aNaturalNumber0(sz10)
| spl4_10
| spl4_25
| ~ spl4_84 ),
inference(forward_subsumption_resolution,[],[f165528,f933]) ).
fof(f165570,plain,
( $false
| spl4_6
| spl4_10
| spl4_25
| ~ spl4_84 ),
inference(forward_subsumption_resolution,[],[f165548,f314]) ).
fof(f165571,plain,
( spl4_6
| spl4_10
| spl4_25
| ~ spl4_84 ),
inference(avatar_contradiction_clause,[],[f165570]) ).
fof(f180398,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| spl4_9
| ~ spl4_1546 ),
inference(forward_demodulation,[],[f41547,f397]) ).
fof(f180475,plain,
( spl4_17
| spl4_9
| ~ spl4_1546 ),
inference(avatar_split_clause,[],[f180398,f41545,f380,f638]) ).
fof(f180481,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| aNaturalNumber0(sz10)
| spl4_9
| spl4_25
| ~ spl4_1528 ),
inference(forward_subsumption_resolution,[],[f164142,f933]) ).
fof(f180523,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| spl4_6
| spl4_9
| spl4_25
| ~ spl4_1528 ),
inference(forward_subsumption_resolution,[],[f180481,f314]) ).
fof(f180542,plain,
( ~ spl4_16
| spl4_6
| spl4_9
| spl4_25
| ~ spl4_1528 ),
inference(avatar_split_clause,[],[f180523,f41406,f932,f380,f313,f634]) ).
cnf(s1,plain,
( spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f298]) ).
cnf(s2,plain,
( spl4_3
| ~ spl4_4 ),
inference(sat_conversion,[],[f307]) ).
cnf(s3,plain,
( spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f316]) ).
cnf(s5,plain,
~ spl4_6,
inference(sat_conversion,[],[f326]) ).
cnf(s8,plain,
( ~ spl4_9
| spl4_11 ),
inference(sat_conversion,[],[f394]) ).
cnf(s11,plain,
( spl4_2
| spl4_4 ),
inference(sat_conversion,[],[f417]) ).
cnf(s20,plain,
( spl4_11
| spl4_12
| ~ spl4_14 ),
inference(sat_conversion,[],[f864]) ).
cnf(s78,plain,
~ spl4_10,
inference(sat_conversion,[],[f2161]) ).
cnf(s162,plain,
( ~ spl4_1
| spl4_10
| spl4_21
| spl4_84 ),
inference(sat_conversion,[],[f2544]) ).
cnf(s182,plain,
( ~ spl4_5
| ~ spl4_25 ),
inference(sat_conversion,[],[f2659]) ).
cnf(s206,plain,
~ spl4_11,
inference(sat_conversion,[],[f2766]) ).
cnf(s221,plain,
( ~ spl4_12
| spl4_56 ),
inference(sat_conversion,[],[f3145]) ).
cnf(s233,plain,
~ spl4_21,
inference(sat_conversion,[],[f3248]) ).
cnf(s2229,plain,
( spl4_9
| spl4_14
| spl4_1528 ),
inference(sat_conversion,[],[f41410]) ).
cnf(s2263,plain,
( spl4_6
| spl4_9
| spl4_14
| spl4_25
| spl4_1546 ),
inference(sat_conversion,[],[f41548]) ).
cnf(s2348,plain,
( ~ spl4_3
| spl4_9
| spl4_10
| spl4_16
| ~ spl4_17 ),
inference(sat_conversion,[],[f41889]) ).
cnf(s5668,plain,
~ spl4_56,
inference(sat_conversion,[],[f81517]) ).
cnf(s12499,plain,
( spl4_6
| spl4_10
| spl4_25
| ~ spl4_84 ),
inference(sat_conversion,[],[f165571]) ).
cnf(s13161,plain,
( spl4_9
| spl4_17
| ~ spl4_1546 ),
inference(sat_conversion,[],[f180475]) ).
cnf(s13177,plain,
( spl4_6
| spl4_9
| ~ spl4_16
| spl4_25
| ~ spl4_1528 ),
inference(sat_conversion,[],[f180542]) ).
cnf(s14265,plain,
~ spl4_12,
inference(rat,[],[s221,s5668]) ).
cnf(s14306,plain,
( ~ spl4_1
| spl4_10
| spl4_84 ),
inference(rat,[],[s162,s233]) ).
cnf(s14460,plain,
~ spl4_14,
inference(rat,[],[s20,s14265,s206]) ).
cnf(s14465,plain,
~ spl4_9,
inference(rat,[],[s8,s206]) ).
cnf(s14486,plain,
spl4_1528,
inference(rat,[],[s2229,s14460,s14465]) ).
cnf(s14673,plain,
spl4_5,
inference(rat,[],[s3,s5]) ).
cnf(s14674,plain,
~ spl4_25,
inference(rat,[],[s182,s14673]) ).
cnf(s14684,plain,
~ spl4_84,
inference(rat,[],[s12499,s5,s78,s14674]) ).
cnf(s14690,plain,
spl4_1546,
inference(rat,[],[s2263,s5,s14465,s14460,s14674]) ).
cnf(s14691,plain,
~ spl4_16,
inference(rat,[],[s13177,s14486,s5,s14465,s14674]) ).
cnf(s14718,plain,
~ spl4_1,
inference(rat,[],[s14306,s78,s14684]) ).
cnf(s14813,plain,
spl4_17,
inference(rat,[],[s13161,s14465,s14690]) ).
cnf(s14816,plain,
~ spl4_3,
inference(rat,[],[s2348,s14813,s14465,s78,s14691]) ).
cnf(s15005,plain,
~ spl4_4,
inference(rat,[],[s2,s14816]) ).
cnf(s15006,plain,
spl4_2,
inference(rat,[],[s11,s15005]) ).
cnf(s15007,plain,
$false,
inference(rat,[],[s1,s15006,s14718]) ).
fof(f180545,plain,
$false,
inference(avatar_sat_refutation,[],[s15007]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM528+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n009.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 20:21:15 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
% 14.64/2.56 % (2368193)Will run a generic schedule for satisfiability detection.
% 14.64/2.56 % (2368201)dis+10_1_sil=32000:sp=arity:random_seed=4033529121:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.64/2.56 % (2368199)% WARNING: option uhcvi not known.
% 14.64/2.56 % (2368198)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1691378426_2999 on theBenchmark for (2999ds/0Mi)
% 14.64/2.56 % (2368199)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3777529902:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.64/2.56 % (2368200)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1900303936:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.64/2.56 % (2368203)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3973143643:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.64/2.56 % (2368202)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4110150855:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.64/2.56 % (2368204)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2324271408:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.64/2.56 % TRYING [1]
% 14.64/2.56 % TRYING [2]
% 14.64/2.56 % TRYING [3]
% 14.64/2.56 % TRYING [4]
% 14.64/2.56 % (2368201)Instruction limit reached!
% 14.64/2.56 % (2368201)------------------------------
% 14.64/2.56 % (2368201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/2.56 % (2368201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.56 % (2368201)CaDiCaL version: 2.1.3
% 14.64/2.56 % (2368201)Termination reason: Instruction limit
% 14.64/2.56 % (2368201)Termination phase: Saturation
% 14.64/2.56 % (2368201)Time elapsed: 0.035 s
% 14.64/2.56 % (2368201)Peak memory usage: 12 MB
% 14.64/2.56 % (2368201)Instructions burned: 105 (million)
% 14.64/2.56 % (2368212)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2837608956:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.64/2.56 % TRYING [1]
% 14.64/2.56 % TRYING [2]
% 14.64/2.56 % TRYING [3]
% 14.64/2.56 % TRYING [5]
% 14.64/2.56 % TRYING [4]
% 14.64/2.56 % TRYING [5]
% 14.64/2.56 % (2368202)Instruction limit reached!
% 14.64/2.56 % (2368202)------------------------------
% 14.64/2.56 % (2368202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/2.56 % (2368202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.56 % (2368202)CaDiCaL version: 2.1.3
% 14.64/2.56 % (2368202)Termination reason: Instruction limit
% 14.64/2.56 % (2368202)Termination phase: Saturation
% 14.64/2.56 % (2368202)Time elapsed: 0.067 s
% 14.64/2.56 % (2368202)Peak memory usage: 13 MB
% 14.64/2.56 % (2368202)Instructions burned: 117 (million)
% 14.64/2.56 % (2368203)Instruction limit reached!
% 14.64/2.56 % (2368203)------------------------------
% 14.64/2.56 % (2368203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/2.56 % (2368203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.56 % (2368203)CaDiCaL version: 2.1.3
% 14.64/2.56 % (2368203)Termination reason: Instruction limit
% 14.64/2.56 % (2368203)Termination phase: Saturation
% 14.64/2.56 % (2368203)Time elapsed: 0.078 s
% 14.64/2.56 % (2368203)Peak memory usage: 14 MB
% 14.64/2.56 % (2368203)Instructions burned: 132 (million)
% 14.64/2.56 % (2368214)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2937946894:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.64/2.56 % (2368215)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=3349213002:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.64/2.56 % (2368204)Instruction limit reached!
% 14.64/2.56 % (2368204)------------------------------
% 14.64/2.56 % (2368204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/2.56 % (2368204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.56 % (2368204)CaDiCaL version: 2.1.3
% 14.64/2.56 % (2368204)Termination reason: Instruction limit
% 14.64/2.56 % (2368204)Termination phase: Saturation
% 14.64/2.56 % (2368204)Time elapsed: 0.098 s
% 14.64/2.56 % (2368204)Peak memory usage: 14 MB
% 14.64/2.56 % (2368204)Instructions burned: 160 (million)
% 14.64/2.56 % TRYING [6]
% 14.64/2.56 % TRYING [6]
% 14.64/2.56 % (2368218)ott-21_1_sil=16000:fs=off:random_seed=1664561939:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.64/2.56 % (2368214)Instruction limit reached!
% 14.64/2.56 % (2368214)------------------------------
% 14.64/2.56 % (2368214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368214)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368214)Termination reason: Instruction limit
% 20.62/5.72 % (2368214)Termination phase: Saturation
% 20.62/5.72 % (2368214)Time elapsed: 0.079 s
% 20.62/5.72 % (2368214)Peak memory usage: 12 MB
% 20.62/5.72 % (2368214)Instructions burned: 131 (million)
% 20.62/5.72 % (2368212)Instruction limit reached!
% 20.62/5.72 % (2368212)------------------------------
% 20.62/5.72 % (2368212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368212)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368212)Termination reason: Instruction limit
% 20.62/5.72 % (2368212)Termination phase: Finite model building constraint generation
% 20.62/5.72 % (2368212)Time elapsed: 0.140 s
% 20.62/5.72 % (2368212)Peak memory usage: 34 MB
% 20.62/5.72 % (2368212)Instructions burned: 715 (million)
% 20.62/5.72 % (2368220)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=947410868:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 20.62/5.72 % (2368221)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2587573421:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 20.62/5.72 % TRYING [1]
% 20.62/5.72 % TRYING [2]
% 20.62/5.72 % TRYING [3]
% 20.62/5.72 % TRYING [4]
% 20.62/5.72 % (2368218)Instruction limit reached!
% 20.62/5.72 % (2368218)------------------------------
% 20.62/5.72 % (2368218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368218)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368218)Termination reason: Instruction limit
% 20.62/5.72 % (2368218)Termination phase: Saturation
% 20.62/5.72 % (2368218)Time elapsed: 0.097 s
% 20.62/5.72 % (2368218)Peak memory usage: 13 MB
% 20.62/5.72 % (2368218)Instructions burned: 182 (million)
% 20.62/5.72 % (2368224)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2003728352:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 20.62/5.72 % TRYING [5]
% 20.62/5.72 % TRYING [7]
% 20.62/5.72 % TRYING [6]
% 20.62/5.72 % (2368221)Instruction limit reached!
% 20.62/5.72 % (2368221)------------------------------
% 20.62/5.72 % (2368221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368221)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368221)Termination reason: Instruction limit
% 20.62/5.72 % (2368221)Termination phase: Finite model building constraint generation
% 20.62/5.72 % (2368221)Time elapsed: 0.183 s
% 20.62/5.72 % (2368221)Peak memory usage: 22 MB
% 20.62/5.72 % (2368221)Instructions burned: 873 (million)
% 20.62/5.72 % (2368226)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1515686691:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 20.62/5.72 % (2368215)Instruction limit reached!
% 20.62/5.72 % (2368215)------------------------------
% 20.62/5.72 % (2368215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368215)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368215)Termination reason: Instruction limit
% 20.62/5.72 % (2368215)Termination phase: Saturation
% 20.62/5.72 % (2368215)Time elapsed: 0.368 s
% 20.62/5.72 % (2368215)Peak memory usage: 20 MB
% 20.62/5.72 % (2368215)Instructions burned: 685 (million)
% 20.62/5.72 % TRYING [14]
% 20.62/5.72 % (2368228)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=522976119: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)
% 20.62/5.72 % (2368220)Instruction limit reached!
% 20.62/5.72 % (2368220)------------------------------
% 20.62/5.72 % (2368220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368220)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368220)Termination reason: Instruction limit
% 20.62/5.72 % (2368220)Termination phase: Saturation
% 20.62/5.72 % (2368220)Time elapsed: 0.318 s
% 20.62/5.72 % (2368220)Peak memory usage: 15 MB
% 20.62/5.72 % (2368220)Instructions burned: 477 (million)
% 20.62/5.72 % (2368230)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3388429172:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 20.62/5.72 % (2368226)Instruction limit reached!
% 20.62/5.72 % (2368226)------------------------------
% 20.62/5.72 % (2368226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368226)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368226)Termination reason: Instruction limit
% 20.62/5.72 % (2368226)Termination phase: Finite model building constraint generation
% 20.62/5.72 % (2368226)Time elapsed: 0.189 s
% 20.62/5.72 % (2368226)Peak memory usage: 81 MB
% 20.62/5.72 % (2368226)Instructions burned: 891 (million)
% 20.62/5.72 % (2368232)fmb+10_1_sil=64000:random_seed=588965727:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 20.62/5.72 % TRYING [1]
% 20.62/5.72 % TRYING [2]
% 20.62/5.72 % TRYING [3]
% 20.62/5.72 % TRYING [4]
% 20.62/5.72 % TRYING [5]
% 20.62/5.72 % TRYING [8]
% 20.62/5.72 % TRYING [6]
% 20.62/5.72 % (2368228)Instruction limit reached!
% 20.62/5.72 % (2368228)------------------------------
% 20.62/5.72 % (2368228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368228)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368228)Termination reason: Instruction limit
% 20.62/5.72 % (2368228)Termination phase: Saturation
% 20.62/5.72 % (2368228)Time elapsed: 0.384 s
% 20.62/5.72 % (2368228)Peak memory usage: 22 MB
% 20.62/5.72 % (2368228)Instructions burned: 693 (million)
% 20.62/5.72 % (2368224)Instruction limit reached!
% 20.62/5.72 % (2368224)------------------------------
% 20.62/5.72 % (2368224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368224)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368224)Termination reason: Instruction limit
% 20.62/5.72 % (2368224)Termination phase: Saturation
% 20.62/5.72 % (2368224)Time elapsed: 0.646 s
% 20.62/5.72 % (2368224)Peak memory usage: 24 MB
% 20.62/5.72 % (2368224)Instructions burned: 1180 (million)
% 20.62/5.72 % (2368234)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4093088827:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 20.62/5.72 % TRYING [20]
% 20.62/5.72 % (2368235)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3531763528:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 20.62/5.72 % TRYING [8]
% 20.62/5.72 % (2368230)Instruction limit reached!
% 20.62/5.72 % (2368230)------------------------------
% 20.62/5.72 % (2368230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368230)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368230)Termination reason: Instruction limit
% 20.62/5.72 % (2368230)Termination phase: Saturation
% 20.62/5.72 % (2368230)Time elapsed: 0.478 s
% 20.62/5.72 % (2368230)Peak memory usage: 20 MB
% 20.62/5.72 % (2368230)Instructions burned: 880 (million)
% 20.62/5.72 % (2368238)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3342399637:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 20.62/5.72 % TRYING [7]
% 20.62/5.72 % (2368235)Instruction limit reached!
% 20.62/5.72 % (2368235)------------------------------
% 20.62/5.72 % (2368235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368235)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368235)Termination reason: Instruction limit
% 20.62/5.72 % (2368235)Termination phase: Finite model building constraint generation
% 20.62/5.72 % (2368235)Time elapsed: 0.337 s
% 20.62/5.72 % (2368235)Peak memory usage: 66 MB
% 20.62/5.72 % (2368235)Instructions burned: 920 (million)
% 20.62/5.72 % (2368240)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1382118244:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 20.62/5.72 % TRYING [9]
% 20.62/5.72 % TRYING [8]
% 20.62/5.72 % (2368240)Instruction limit reached!
% 20.62/5.72 % (2368240)------------------------------
% 20.62/5.72 % (2368240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368240)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368240)Termination reason: Instruction limit
% 20.62/5.72 % (2368240)Termination phase: Saturation
% 20.62/5.72 % (2368240)Time elapsed: 0.802 s
% 20.62/5.72 % (2368240)Peak memory usage: 38 MB
% 20.62/5.72 % (2368240)Instructions burned: 1472 (million)
% 20.62/5.72 % (2368242)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1482975412:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 20.62/5.72 % TRYING [77]
% 20.62/5.72 % TRYING [10]
% 20.62/5.72 % TRYING [9]
% 20.62/5.72 % (2368238)Instruction limit reached!
% 20.62/5.72 % (2368238)------------------------------
% 20.62/5.72 % (2368238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368238)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368238)Termination reason: Instruction limit
% 20.62/5.72 % (2368238)Termination phase: Saturation
% 20.62/5.72 % (2368238)Time elapsed: 2.762 s
% 20.62/5.72 % (2368238)Peak memory usage: 45 MB
% 20.62/5.72 % (2368238)Instructions burned: 5132 (million)
% 20.62/5.72 % (2368244)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3717665619:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 20.62/5.72 % TRYING [16]
% 20.62/5.72 % (2368234)Instruction limit reached!
% 20.62/5.72 % (2368234)------------------------------
% 20.62/5.72 % (2368234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368234)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368234)Termination reason: Instruction limit
% 20.62/5.72 % (2368234)Termination phase: Finite model building constraint generation
% 20.62/5.72 % (2368234)Time elapsed: 3.335 s
% 20.62/5.72 % (2368234)Peak memory usage: 565 MB
% 20.62/5.72 % (2368234)Instructions burned: 9517 (million)
% 20.62/5.72 % (2368246)ott-2_1_sil=16000:newcnf=on:random_seed=1415089364:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 20.62/5.72 % (2368242)Instruction limit reached!
% 20.62/5.72 % (2368242)------------------------------
% 20.62/5.72 % (2368242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368242)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368242)Termination reason: Instruction limit
% 20.62/5.72 % (2368242)Termination phase: Finite model building constraint generation
% 20.62/5.72 % (2368242)Time elapsed: 2.320 s
% 20.62/5.72 % (2368242)Peak memory usage: 445 MB
% 20.62/5.72 % (2368242)Instructions burned: 6325 (million)
% 20.62/5.72 % (2368248)ott+10_1_sil=32000:tgt=ground:random_seed=432792939:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 20.62/5.72 % (2368244)Instruction limit reached!
% 20.62/5.72 % (2368244)------------------------------
% 20.62/5.72 % (2368244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368244)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368244)Termination reason: Instruction limit
% 20.62/5.72 % (2368244)Termination phase: Finite model building constraint generation
% 20.62/5.72 % (2368244)Time elapsed: 0.762 s
% 20.62/5.72 % (2368244)Peak memory usage: 146 MB
% 20.62/5.72 % (2368244)Instructions burned: 2179 (million)
% 20.62/5.72 % (2368250)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1310052230:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 20.62/5.72 % TRYING [1]
% 20.62/5.72 % TRYING [2]
% 20.62/5.72 % TRYING [3]
% 20.62/5.72 % TRYING [4]
% 20.62/5.72 % TRYING [5]
% 20.62/5.72 % TRYING [6]
% 20.62/5.72 % (2368246)Instruction limit reached!
% 20.62/5.72 % (2368246)------------------------------
% 20.62/5.72 % (2368246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368246)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368246)Termination reason: Instruction limit
% 20.62/5.72 % (2368246)Termination phase: Saturation
% 20.62/5.72 % (2368246)Time elapsed: 0.463 s
% 20.62/5.72 % (2368246)Peak memory usage: 22 MB
% 20.62/5.72 % (2368246)Instructions burned: 871 (million)
% 20.62/5.72 % (2368252)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2523158196:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 20.62/5.72 % TRYING [7]
% 20.62/5.72 % (2368199) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2368193-2368199"...
% 20.62/5.72 % (2368199)...printing done.
% 20.62/5.72 % (2368199)Refutation found. Thanks to Tanya!
% 20.62/5.72 % SZS status Theorem for theBenchmark
% 20.62/5.72 % SZS output start Proof for theBenchmark
% See solution above
% 20.62/5.72 % (2368199)------------------------------
% 20.62/5.72 % (2368199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.62/5.72 % (2368199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/5.72 % (2368199)CaDiCaL version: 2.1.3
% 20.62/5.72 % (2368199)Termination reason: Refutation
% 20.62/5.72 % (2368199)Time elapsed: 5.215 s
% 20.62/5.72 % (2368199)Peak memory usage: 92 MB
% 20.62/5.72 % (2368199)Instructions burned: 10046 (million)
% 20.62/5.72 % (2368193)Success in time 5.296 s
% 20.62/5.72 % Vampire exiting
%------------------------------------------------------------------------------