%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:36 PM UTC 2026
% Result : ContradictoryAxioms 9.85s 2.30s
% Output : Refutation 10.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 38
% Syntax : Number of formulae : 229 ( 43 unt; 17 def)
% Number of atoms : 840 ( 261 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1053 ( 442 ~; 478 |; 85 &)
% ( 23 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 18 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn 141 !; 3 ?)
% 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(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(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(f41,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& X0 != sz00
& X1 != sz00
& X2 != sz00 )
=> ( sdtasdt0(X2,sdtasdt0(X1,X1)) = sdtasdt0(X0,X0)
=> ( iLess0(X0,xn)
=> ~ isPrime0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2963) ).
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(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f54]) ).
fof(f65,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f66,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
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(ennf_transformation,[],[f15]) ).
fof(f72,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,[],[f71]) ).
fof(f75,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f75]) ).
fof(f82,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f83,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f82]) ).
fof(f86,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f87,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f86]) ).
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(ennf_transformation,[],[f25]) ).
fof(f91,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,[],[f90]) ).
fof(f92,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f93,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f92]) ).
fof(f96,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f97,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f96]) ).
fof(f100,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(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(flattening,[],[f100]) ).
fof(f112,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(f113,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f112]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sz00 = X1
| sz00 = X2 ),
inference(ennf_transformation,[],[f41]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sz00 = X1
| sz00 = X2 ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(ennf_transformation,[],[f47]) ).
fof(f130,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f101]) ).
fof(f131,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f133,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f133]) ).
fof(f135,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ( sz10 != sK2(X0)
& sK2(X0) != X0
& aNaturalNumber0(sK2(X0))
& doDivides0(sK2(X0),X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f134]) ).
fof(f139,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f148,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f151,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f156,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f160,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f168,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f170,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f176,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f180,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f183,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f187,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f188,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f196,plain,
! [X0] :
( sz10 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f206,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f207,plain,
sz00 != xm,
inference(cnf_transformation,[],[f40]) ).
fof(f208,plain,
sz00 != xn,
inference(cnf_transformation,[],[f40]) ).
fof(f209,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f210,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f211,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f212,plain,
! [X2,X0,X1] :
( sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sz00 = X1
| sz00 = X2 ),
inference(cnf_transformation,[],[f119]) ).
fof(f213,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f214,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f43]) ).
fof(f215,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f44]) ).
fof(f217,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f218,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f46]) ).
fof(f219,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(cnf_transformation,[],[f120]) ).
fof(f229,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f188]) ).
fof(f230,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f232,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(equality_resolution,[],[f196]) ).
fof(f235,definition,
( spl4_1
<=> sdtlseqdt0(xm,xn) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f236,plain,
( ~ sdtlseqdt0(xm,xn)
| spl4_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,definition,
( spl4_2
<=> xn = xm ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f239,plain,
( xn = xm
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f242,definition,
( spl4_3
<=> sdtlseqdt0(xn,xm) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f245,definition,
( spl4_4
<=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f246,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( ~ spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f219,f245,f242]) ).
fof(f337,definition,
( spl4_11
<=> sz10 = xp ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f338,plain,
( sz10 = xp
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f357,definition,
( spl4_13
<=> aNaturalNumber0(sdtasdt0(xn,xn)) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
fof(f358,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xn))
| spl4_13 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f386,plain,
( xn = sdtasdt0(xp,xq)
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f230,f217]) ).
fof(f387,plain,
( aNaturalNumber0(xq)
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f229,f217]) ).
fof(f388,plain,
( aNaturalNumber0(xq)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f387,f206]) ).
fof(f389,plain,
( xn = sdtasdt0(xp,xq)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f386,f206]) ).
fof(f390,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f388,f215]) ).
fof(f391,plain,
( xn = sdtasdt0(xp,xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f389,f215]) ).
fof(f392,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f390,f209]) ).
fof(f393,plain,
( xn = sdtasdt0(xp,xq)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f391,f209]) ).
fof(f394,plain,
aNaturalNumber0(xq),
inference(forward_subsumption_resolution,[],[f392,f211]) ).
fof(f395,plain,
xn = sdtasdt0(xp,xq),
inference(forward_subsumption_resolution,[],[f393,f211]) ).
fof(f401,definition,
( spl4_16
<=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
fof(f402,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl4_16 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f404,definition,
( spl4_17
<=> sdtasdt0(xm,xm) = sdtasdt0(xn,xn) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f407,definition,
( spl4_18
<=> sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f408,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| spl4_18 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f425,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
| xp = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(superposition,[],[f156,f213]) ).
fof(f431,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| sz00 = sdtasdt0(xm,xm)
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f176,f213]) ).
fof(f453,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| sz00 = sdtasdt0(xm,xm)
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f431,f209]) ).
fof(f459,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
| xp = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(forward_subsumption_resolution,[],[f425,f209]) ).
fof(f476,definition,
( spl4_21
<=> sz00 = sdtasdt0(xm,xm) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f477,plain,
( sz00 = sdtasdt0(xm,xm)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f495,definition,
( spl4_25
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| xp = X0 ) ),
introduced(definition,[new_symbols(definition,[spl4_25])],[avatar_definition]) ).
fof(f496,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| xp = X0 )
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f497,plain,
( ~ spl4_16
| spl4_21
| spl4_25 ),
inference(avatar_split_clause,[],[f453,f495,f476,f401]) ).
fof(f506,definition,
( spl4_27
<=> ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| xp = X0 ) ),
introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).
fof(f507,plain,
( ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| xp = X0 )
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f509,plain,
( ~ spl4_16
| spl4_21
| spl4_27 ),
inference(avatar_split_clause,[],[f459,f506,f476,f401]) ).
fof(f530,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f700,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f738,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ isPrime0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| sz00 = X0
| sz00 = xq
| sz00 = xp ),
inference(superposition,[],[f212,f218]) ).
fof(f749,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| sz00 = X0
| sz00 = xq
| sz00 = xp ),
inference(forward_subsumption_resolution,[],[f738,f214]) ).
fof(f755,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq)
| sz00 = X0
| sz00 = xq
| sz00 = xp ),
inference(forward_subsumption_resolution,[],[f749,f209]) ).
fof(f759,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq)
| sz00 = X0
| sz00 = xq ),
inference(forward_subsumption_resolution,[],[f755,f206]) ).
fof(f762,definition,
( spl4_62
<=> sz00 = xq ),
introduced(definition,[new_symbols(definition,[spl4_62])],[avatar_definition]) ).
fof(f763,plain,
( sz00 = xq
| ~ spl4_62 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f765,definition,
( spl4_63
<=> aNaturalNumber0(xq) ),
introduced(definition,[new_symbols(definition,[spl4_63])],[avatar_definition]) ).
fof(f766,plain,
( ~ aNaturalNumber0(xq)
| spl4_63 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f768,definition,
( spl4_64
<=> ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xn) ) ),
introduced(definition,[new_symbols(definition,[spl4_64])],[avatar_definition]) ).
fof(f769,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xn) )
| ~ spl4_64 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f770,plain,
( spl4_62
| ~ spl4_63
| spl4_64 ),
inference(avatar_split_clause,[],[f759,f768,f765,f762]) ).
fof(f823,plain,
( $false
| spl4_63 ),
inference(forward_subsumption_resolution,[],[f766,f394]) ).
fof(f824,plain,
spl4_63,
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f851,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| spl4_13 ),
inference(resolution,[],[f358,f141]) ).
fof(f852,plain,
( ~ aNaturalNumber0(xn)
| spl4_13 ),
inference(duplicate_literal_removal,[],[f851]) ).
fof(f853,plain,
( $false
| spl4_13 ),
inference(forward_subsumption_resolution,[],[f852,f211]) ).
fof(f854,plain,
spl4_13,
inference(avatar_contradiction_clause,[],[f853]) ).
fof(f855,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| spl4_16 ),
inference(resolution,[],[f402,f141]) ).
fof(f856,plain,
( ~ aNaturalNumber0(xm)
| spl4_16 ),
inference(duplicate_literal_removal,[],[f855]) ).
fof(f857,plain,
( $false
| spl4_16 ),
inference(forward_subsumption_resolution,[],[f856,f210]) ).
fof(f858,plain,
spl4_16,
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f924,plain,
( xn = sdtasdt0(xp,sz00)
| ~ spl4_62 ),
inference(forward_demodulation,[],[f395,f763]) ).
fof(f944,plain,
( sz00 != sz00
| sz00 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl4_21 ),
inference(superposition,[],[f160,f477]) ).
fof(f971,plain,
( sz00 != sz00
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_21 ),
inference(duplicate_literal_removal,[],[f944]) ).
fof(f972,plain,
( sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f971]) ).
fof(f996,plain,
( ~ aNaturalNumber0(xm)
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f972,f207]) ).
fof(f1018,plain,
( $false
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f996,f210]) ).
fof(f1019,plain,
~ spl4_21,
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1125,plain,
( sz00 = xn
| ~ aNaturalNumber0(xp)
| ~ spl4_62 ),
inference(superposition,[],[f924,f151]) ).
fof(f1168,plain,
( ~ aNaturalNumber0(xp)
| ~ spl4_62 ),
inference(forward_subsumption_resolution,[],[f1125,f208]) ).
fof(f1190,plain,
( $false
| ~ spl4_62 ),
inference(forward_subsumption_resolution,[],[f1168,f209]) ).
fof(f1191,plain,
~ spl4_62,
inference(avatar_contradiction_clause,[],[f1190]) ).
fof(f1959,plain,
( isPrime0(sz10)
| ~ spl4_11 ),
inference(superposition,[],[f214,f338]) ).
fof(f2209,plain,
( sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ iLess0(xm,xn)
| ~ spl4_64 ),
inference(equality_resolution,[],[f769]) ).
fof(f2211,plain,
( ~ aNaturalNumber0(xm)
| ~ iLess0(xm,xn)
| ~ spl4_64 ),
inference(forward_subsumption_resolution,[],[f2209,f207]) ).
fof(f2213,plain,
( ~ iLess0(xm,xn)
| ~ spl4_64 ),
inference(forward_subsumption_resolution,[],[f2211,f210]) ).
fof(f2575,definition,
( spl4_156
<=> isPrime0(sz10) ),
introduced(definition,[new_symbols(definition,[spl4_156])],[avatar_definition]) ).
fof(f2576,plain,
( isPrime0(sz10)
| ~ spl4_156 ),
inference(avatar_component_clause,[],[f2575]) ).
fof(f2596,plain,
( ~ aNaturalNumber0(sz10)
| ~ spl4_156 ),
inference(resolution,[],[f2576,f232]) ).
fof(f2597,plain,
( $false
| ~ spl4_156 ),
inference(forward_subsumption_resolution,[],[f2596,f139]) ).
fof(f2598,plain,
~ spl4_156,
inference(avatar_contradiction_clause,[],[f2597]) ).
fof(f3763,plain,
( ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| xp = X0 )
| ~ spl4_2
| ~ spl4_27 ),
inference(forward_demodulation,[],[f507,f239]) ).
fof(f3871,plain,
( spl4_156
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f1959,f337,f2575]) ).
fof(f7723,plain,
( xn = xm
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl4_64 ),
inference(resolution,[],[f2213,f183]) ).
fof(f7813,plain,
( xn = xm
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xn)
| ~ spl4_64 ),
inference(forward_subsumption_resolution,[],[f7723,f210]) ).
fof(f7833,plain,
( xn = xm
| ~ sdtlseqdt0(xm,xn)
| ~ spl4_64 ),
inference(forward_subsumption_resolution,[],[f7813,f211]) ).
fof(f7848,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f7833,f768,f238,f235]) ).
fof(f8069,plain,
( sdtasdt0(xn,xn) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sz10)
| sz10 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl4_2
| ~ spl4_27 ),
inference(superposition,[],[f3763,f148]) ).
fof(f8071,plain,
( ~ aNaturalNumber0(sz10)
| sz10 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl4_2
| ~ spl4_27 ),
inference(trivial_inequality_removal,[],[f8069]) ).
fof(f8075,plain,
( sz10 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl4_2
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f8071,f139]) ).
fof(f8079,plain,
( sz10 = xp
| ~ spl4_2
| ~ spl4_13
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f8075,f530]) ).
fof(f8080,plain,
( spl4_11
| ~ spl4_2
| ~ spl4_13
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f8079,f506,f357,f238,f337]) ).
fof(f8100,plain,
( sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_1 ),
inference(resolution,[],[f236,f170]) ).
fof(f8103,plain,
( sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xm)
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f8100,f211]) ).
fof(f8106,plain,
( sdtlseqdt0(xn,xm)
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f8103,f210]) ).
fof(f8108,plain,
( spl4_3
| spl4_1 ),
inference(avatar_split_clause,[],[f8106,f235,f242]) ).
fof(f8113,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl4_4 ),
inference(resolution,[],[f246,f168]) ).
fof(f8114,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl4_4
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f8113,f700]) ).
fof(f8117,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ spl4_4
| ~ spl4_13
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f8114,f530]) ).
fof(f8118,plain,
( spl4_17
| ~ spl4_18
| ~ spl4_4
| ~ spl4_13
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f8117,f401,f357,f245,f407,f404]) ).
fof(f8384,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sz10)
| sz10 = xp
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_27 ),
inference(superposition,[],[f507,f148]) ).
fof(f8389,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| sz10 = xp
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f8384,f139]) ).
fof(f8393,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| sz10 = xp
| ~ spl4_16
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f8389,f700]) ).
fof(f8394,plain,
( spl4_11
| ~ spl4_17
| ~ spl4_16
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f8393,f506,f401,f404,f337]) ).
fof(f9086,definition,
( spl4_458
<=> sdtlseqdt0(sz10,xp) ),
introduced(definition,[new_symbols(definition,[spl4_458])],[avatar_definition]) ).
fof(f9087,plain,
( ~ sdtlseqdt0(sz10,xp)
| spl4_458 ),
inference(avatar_component_clause,[],[f9086]) ).
fof(f9093,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xp)
| sz10 = xp
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_25 ),
inference(superposition,[],[f496,f148]) ).
fof(f9098,plain,
( ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xp)
| sz10 = xp
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl4_18
| ~ spl4_25 ),
inference(forward_subsumption_resolution,[],[f9093,f408]) ).
fof(f9104,plain,
( ~ sdtlseqdt0(sz10,xp)
| sz10 = xp
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl4_18
| ~ spl4_25 ),
inference(forward_subsumption_resolution,[],[f9098,f139]) ).
fof(f9107,plain,
( ~ sdtlseqdt0(sz10,xp)
| sz10 = xp
| ~ spl4_16
| spl4_18
| ~ spl4_25 ),
inference(forward_subsumption_resolution,[],[f9104,f700]) ).
fof(f9109,plain,
( spl4_11
| ~ spl4_458
| ~ spl4_16
| spl4_18
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f9107,f495,f407,f401,f9086,f337]) ).
fof(f9224,plain,
( sz10 = xp
| sz00 = xp
| ~ aNaturalNumber0(xp)
| spl4_458 ),
inference(resolution,[],[f9087,f180]) ).
fof(f9231,plain,
( sz10 = xp
| ~ aNaturalNumber0(xp)
| spl4_458 ),
inference(forward_subsumption_resolution,[],[f9224,f206]) ).
fof(f9235,plain,
( sz10 = xp
| spl4_458 ),
inference(forward_subsumption_resolution,[],[f9231,f209]) ).
fof(f9237,plain,
( spl4_11
| spl4_458 ),
inference(avatar_split_clause,[],[f9235,f9086,f337]) ).
cnf(s2,plain,
( ~ spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f247]) ).
cnf(s16,plain,
( ~ spl4_16
| spl4_21
| spl4_25 ),
inference(sat_conversion,[],[f497]) ).
cnf(s19,plain,
( ~ spl4_16
| spl4_21
| spl4_27 ),
inference(sat_conversion,[],[f509]) ).
cnf(s58,plain,
( spl4_62
| ~ spl4_63
| spl4_64 ),
inference(sat_conversion,[],[f770]) ).
cnf(s60,plain,
spl4_63,
inference(sat_conversion,[],[f824]) ).
cnf(s61,plain,
spl4_13,
inference(sat_conversion,[],[f854]) ).
cnf(s62,plain,
spl4_16,
inference(sat_conversion,[],[f858]) ).
cnf(s66,plain,
~ spl4_21,
inference(sat_conversion,[],[f1019]) ).
cnf(s73,plain,
~ spl4_62,
inference(sat_conversion,[],[f1191]) ).
cnf(s181,plain,
~ spl4_156,
inference(sat_conversion,[],[f2598]) ).
cnf(s254,plain,
( ~ spl4_11
| spl4_156 ),
inference(sat_conversion,[],[f3871]) ).
cnf(s562,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_64 ),
inference(sat_conversion,[],[f7848]) ).
cnf(s576,plain,
( ~ spl4_2
| spl4_11
| ~ spl4_13
| ~ spl4_27 ),
inference(sat_conversion,[],[f8080]) ).
cnf(s601,plain,
( spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f8108]) ).
cnf(s605,plain,
( ~ spl4_4
| ~ spl4_13
| ~ spl4_16
| spl4_17
| ~ spl4_18 ),
inference(sat_conversion,[],[f8118]) ).
cnf(s615,plain,
( spl4_11
| ~ spl4_16
| ~ spl4_17
| ~ spl4_27 ),
inference(sat_conversion,[],[f8394]) ).
cnf(s673,plain,
( spl4_11
| ~ spl4_16
| spl4_18
| ~ spl4_25
| ~ spl4_458 ),
inference(sat_conversion,[],[f9109]) ).
cnf(s678,plain,
( spl4_11
| spl4_458 ),
inference(sat_conversion,[],[f9237]) ).
cnf(s706,plain,
~ spl4_11,
inference(rat,[],[s254,s181]) ).
cnf(s707,plain,
spl4_458,
inference(rat,[],[s678,s706]) ).
cnf(s727,plain,
spl4_64,
inference(rat,[],[s58,s60,s73]) ).
cnf(s775,plain,
spl4_27,
inference(rat,[],[s19,s66,s62]) ).
cnf(s776,plain,
~ spl4_17,
inference(rat,[],[s615,s62,s706,s775]) ).
cnf(s777,plain,
~ spl4_2,
inference(rat,[],[s576,s61,s706,s775]) ).
cnf(s778,plain,
~ spl4_1,
inference(rat,[],[s562,s727,s777]) ).
cnf(s780,plain,
spl4_3,
inference(rat,[],[s601,s778]) ).
cnf(s783,plain,
spl4_25,
inference(rat,[],[s16,s66,s62]) ).
cnf(s784,plain,
spl4_18,
inference(rat,[],[s673,s707,s62,s706,s783]) ).
cnf(s785,plain,
~ spl4_4,
inference(rat,[],[s605,s776,s61,s62,s784]) ).
cnf(s795,plain,
$false,
inference(rat,[],[s2,s785,s780]) ).
fof(f9238,plain,
$false,
inference(avatar_sat_refutation,[],[s795]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 20:19:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.85/2.29 % (1756558)Detected formulas, will run a generic FOF schedule.
% 9.85/2.29 % (1756568)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1970035773:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.85/2.29 % (1756566)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3298530511:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.85/2.29 % (1756565)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=379877543:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.85/2.29 % (1756563)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3971821681:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.85/2.29 % (1756564)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1723993239:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.85/2.29 % (1756567)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=27174633:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.85/2.29 % (1756569)dis-21_1_sil=8000:lcm=predicate:random_seed=1272314791:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.85/2.29 % (1756568)Instruction limit reached!
% 9.85/2.29 % (1756568)------------------------------
% 9.85/2.29 % (1756568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.29 % (1756568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.29 % (1756568)CaDiCaL version: 2.1.3
% 9.85/2.29 % (1756568)Termination reason: Instruction limit
% 9.85/2.29 % (1756568)Termination phase: Saturation
% 9.85/2.29 % (1756568)Time elapsed: 0.050 s
% 9.85/2.29 % (1756568)Peak memory usage: 90 MB
% 9.85/2.29 % (1756568)Instructions burned: 140 (million)
% 9.85/2.29 % (1756566)Instruction limit reached!
% 9.85/2.29 % (1756566)------------------------------
% 9.85/2.29 % (1756566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.29 % (1756566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.29 % (1756566)CaDiCaL version: 2.1.3
% 9.85/2.29 % (1756566)Termination reason: Instruction limit
% 9.85/2.29 % (1756566)Termination phase: Saturation
% 9.85/2.29 % (1756566)Time elapsed: 0.063 s
% 9.85/2.29 % (1756566)Peak memory usage: 89 MB
% 9.85/2.29 % (1756566)Instructions burned: 110 (million)
% 9.85/2.29 % (1756567)Instruction limit reached!
% 9.85/2.29 % (1756567)------------------------------
% 9.85/2.29 % (1756567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.29 % (1756567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.29 % (1756567)CaDiCaL version: 2.1.3
% 9.85/2.29 % (1756567)Termination reason: Instruction limit
% 9.85/2.29 % (1756567)Termination phase: Saturation
% 9.85/2.29 % (1756567)Time elapsed: 0.072 s
% 9.85/2.29 % (1756567)Peak memory usage: 89 MB
% 9.85/2.29 % (1756567)Instructions burned: 121 (million)
% 9.85/2.29 % (1756569)Instruction limit reached!
% 9.85/2.29 % (1756569)------------------------------
% 9.85/2.29 % (1756569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.29 % (1756569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.29 % (1756569)CaDiCaL version: 2.1.3
% 9.85/2.29 % (1756569)Termination reason: Instruction limit
% 9.85/2.29 % (1756569)Termination phase: Saturation
% 9.85/2.29 % (1756569)Time elapsed: 0.078 s
% 9.85/2.29 % (1756569)Peak memory usage: 91 MB
% 9.85/2.29 % (1756569)Instructions burned: 130 (million)
% 9.85/2.29 % (1756577)lrs+10_1_sil=8000:sp=occurrence:random_seed=3934811023:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.85/2.29 % (1756578)lrs+10_1_sil=32000:urr=on:br=off:random_seed=350599067:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.85/2.29 % (1756578)Refutation not found, incomplete strategy
% 9.85/2.29 % (1756578)------------------------------
% 9.85/2.29 % (1756578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.29 % (1756578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.29 % (1756578)CaDiCaL version: 2.1.3
% 9.85/2.29 % (1756578)Termination reason: Refutation not found, incomplete strategy
% 9.85/2.29 % (1756578)Time elapsed: 0.005 s
% 9.85/2.29 % (1756578)Peak memory usage: 89 MB
% 9.85/2.29 % (1756578)Instructions burned: 6 (million)
% 9.85/2.29 % (1756579)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3248011302:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.85/2.29 % (1756580)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=403951505:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 9.85/2.29 % (1756577)Instruction limit reached!
% 9.85/2.29 % (1756577)------------------------------
% 9.85/2.29 % (1756577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.29 % (1756577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.29 % (1756577)CaDiCaL version: 2.1.3
% 9.85/2.29 % (1756577)Termination reason: Instruction limit
% 9.85/2.29 % (1756577)Termination phase: Saturation
% 9.85/2.29 % (1756577)Time elapsed: 0.090 s
% 9.85/2.29 % (1756577)Peak memory usage: 91 MB
% 9.85/2.29 % (1756577)Instructions burned: 286 (million)
% 9.85/2.29 % (1756580)Instruction limit reached!
% 9.85/2.30 % (1756580)------------------------------
% 9.85/2.30 % (1756580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.30 % (1756580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.30 % (1756580)CaDiCaL version: 2.1.3
% 9.85/2.30 % (1756580)Termination reason: Instruction limit
% 9.85/2.30 % (1756580)Termination phase: Saturation
% 9.85/2.30 % (1756580)Time elapsed: 0.127 s
% 9.85/2.30 % (1756580)Peak memory usage: 92 MB
% 9.85/2.30 % (1756580)Instructions burned: 248 (million)
% 9.85/2.30 % (1756585)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=860510053:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 9.85/2.30 % (1756579)Instruction limit reached!
% 9.85/2.30 % (1756579)------------------------------
% 9.85/2.30 % (1756579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.30 % (1756579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.30 % (1756579)CaDiCaL version: 2.1.3
% 9.85/2.30 % (1756579)Termination reason: Instruction limit
% 9.85/2.30 % (1756579)Termination phase: Saturation
% 9.85/2.30 % (1756579)Time elapsed: 0.198 s
% 9.85/2.30 % (1756579)Peak memory usage: 91 MB
% 9.85/2.30 % (1756579)Instructions burned: 326 (million)
% 9.85/2.30 % (1756585)Instruction limit reached!
% 9.85/2.30 % (1756585)------------------------------
% 9.85/2.30 % (1756585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.30 % (1756585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.30 % (1756585)CaDiCaL version: 2.1.3
% 9.85/2.30 % (1756585)Termination reason: Instruction limit
% 9.85/2.30 % (1756585)Termination phase: Saturation
% 9.85/2.30 % (1756585)Time elapsed: 0.085 s
% 9.85/2.30 % (1756585)Peak memory usage: 89 MB
% 9.85/2.30 % (1756585)Instructions burned: 296 (million)
% 9.85/2.30 % (1756578)------------------------------
% 9.85/2.30 % (1756578)------------------------------
% 9.85/2.30 % (1756587)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2814500220:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.85/2.30 % (1756589)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3843575303:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.85/2.30 % (1756588)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2243314677:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.85/2.30 % (1756589)Instruction limit reached!
% 9.85/2.30 % (1756589)------------------------------
% 9.85/2.30 % (1756589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.30 % (1756589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.30 % (1756589)CaDiCaL version: 2.1.3
% 9.85/2.30 % (1756589)Termination reason: Instruction limit
% 9.85/2.30 % (1756589)Termination phase: Saturation
% 9.85/2.30 % (1756589)Time elapsed: 0.035 s
% 9.85/2.30 % (1756589)Peak memory usage: 89 MB
% 9.85/2.30 % (1756589)Instructions burned: 130 (million)
% 9.85/2.30 % (1756590)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=814379562:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.85/2.30 % (1756588)Instruction limit reached!
% 9.85/2.30 % (1756588)------------------------------
% 9.85/2.30 % (1756588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.30 % (1756588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.30 % (1756588)CaDiCaL version: 2.1.3
% 9.85/2.30 % (1756588)Termination reason: Instruction limit
% 9.85/2.30 % (1756588)Termination phase: Saturation
% 9.85/2.30 % (1756588)Time elapsed: 0.070 s
% 9.85/2.30 % (1756588)Peak memory usage: 90 MB
% 9.85/2.30 % (1756588)Instructions burned: 114 (million)
% 9.85/2.30 % (1756590)Instruction limit reached!
% 9.85/2.30 % (1756590)------------------------------
% 9.85/2.30 % (1756590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.30 % (1756590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.30 % (1756590)CaDiCaL version: 2.1.3
% 9.85/2.30 % (1756590)Termination reason: Instruction limit
% 9.85/2.30 % (1756590)Termination phase: Saturation
% 9.85/2.30 % (1756590)Time elapsed: 0.064 s
% 9.85/2.30 % (1756590)Peak memory usage: 89 MB
% 9.85/2.30 % (1756590)Instructions burned: 114 (million)
% 9.85/2.30 % (1756594)lrs+10_1_sil=8000:sp=occurrence:random_seed=2247573898:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.85/2.30 % (1756596)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3527365993:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.85/2.30 % (1756597)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=953279087:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 9.85/2.30 % (1756594)Instruction limit reached!
% 9.85/2.30 % (1756594)------------------------------
% 9.85/2.30 % (1756594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.30 % (1756594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.30 % (1756594)CaDiCaL version: 2.1.3
% 9.85/2.30 % (1756594)Termination reason: Instruction limit
% 9.85/2.30 % (1756594)Termination phase: Saturation
% 9.85/2.30 % (1756594)Time elapsed: 0.269 s
% 9.85/2.30 % (1756594)Peak memory usage: 97 MB
% 9.85/2.30 % (1756594)Instructions burned: 910 (million)
% 9.85/2.30 % (1756596)First to succeed.
% 9.85/2.30 % (1756596)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1756558"
% 9.85/2.30 % (1756601)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3460922304:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 9.85/2.30 % (1756601)Instruction limit reached!
% 9.85/2.30 % (1756601)------------------------------
% 9.85/2.30 % (1756601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.85/2.30 % (1756601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/2.30 % (1756601)CaDiCaL version: 2.1.3
% 9.85/2.30 % (1756601)Termination reason: Instruction limit
% 9.85/2.30 % (1756601)Termination phase: Saturation
% 9.85/2.30 % (1756601)Time elapsed: 0.034 s
% 9.85/2.30 % (1756601)Peak memory usage: 91 MB
% 9.85/2.30 % (1756601)Instructions burned: 135 (million)
% 9.85/2.30 % (1756564)Also succeeded, but the first one will report.
% 9.85/2.30 % (1756596)Refutation found. Thanks to Tanya!
% 9.85/2.30 % SZS status ContradictoryAxioms for theBenchmark
% 9.85/2.30 % SZS output start Proof for theBenchmark
% See solution above
% 10.65/2.49 % (1756596)------------------------------
% 10.65/2.49 % (1756596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.49 % (1756596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.49 % (1756596)CaDiCaL version: 2.1.3
% 10.65/2.49 % (1756596)Termination reason: Refutation
% 10.65/2.49 % (1756596)Time elapsed: 0.197 s
% 10.65/2.49 % (1756596)Peak memory usage: 93 MB
% 10.65/2.49 % (1756596)Instructions burned: 332 (million)
% 10.65/2.49 % (1756596)------------------------------
% 10.65/2.49 % (1756596)------------------------------
% 10.65/2.49 % (1756558)Success in time 1.433 s
% 10.65/2.49 % Vampire exiting
%------------------------------------------------------------------------------