%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM481+3 : 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 12:15:23 PM UTC 2026
% Result : Theorem 4.17s 2.07s
% Output : Refutation 9.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 144 ( 21 unt; 11 def)
% Number of atoms : 682 ( 222 equ)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 855 ( 317 ~; 329 |; 174 &)
% ( 9 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 139 ( 0 sgn 99 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
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(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(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X1,X2) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X0,X1)
& X1 != sz00 )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f38,conjecture,
! [X0] :
( ( aNaturalNumber0(X0)
& X0 != sz00
& X0 != sz10 )
=> ( ! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ( iLess0(X1,X0)
=> ? [X2] :
( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1)
& X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ( ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
| doDivides0(X3,X2) ) )
=> ( X3 = sz10
| X3 = X2 ) )
& isPrime0(X2) ) ) )
=> ? [X1] :
( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& X0 = sdtasdt0(X1,X2) )
| doDivides0(X1,X0) )
& ( ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) )
| isPrime0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ( aNaturalNumber0(X0)
& X0 != sz00
& X0 != sz10 )
=> ( ! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ( iLess0(X1,X0)
=> ? [X2] :
( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1)
& X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ( ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
| doDivides0(X3,X2) ) )
=> ( X3 = sz10
| X3 = X2 ) )
& isPrime0(X2) ) ) )
=> ? [X1] :
( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& X0 = sdtasdt0(X1,X2) )
| doDivides0(X1,X0) )
& ( ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) )
| isPrime0(X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f42,plain,
~ ! [X0] :
( ( aNaturalNumber0(X0)
& X0 != sz00
& X0 != sz10 )
=> ( ! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ( iLess0(X1,X0)
=> ? [X2] :
( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1)
& X2 != sz00
& X2 != sz10
& ! [X4] :
( ( aNaturalNumber0(X4)
& ( ? [X5] :
( aNaturalNumber0(X5)
& sdtasdt0(X4,X5) = X2 )
| doDivides0(X4,X2) ) )
=> ( sz10 = X4
| X2 = X4 ) )
& isPrime0(X2) ) ) )
=> ? [X6] :
( aNaturalNumber0(X6)
& ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X6,X7) = X0 )
| doDivides0(X6,X0) )
& ( ( sz00 != X6
& sz10 != X6
& ! [X8] :
( ( aNaturalNumber0(X8)
& ? [X9] :
( aNaturalNumber0(X9)
& sdtasdt0(X8,X9) = X6 )
& doDivides0(X8,X6) )
=> ( sz10 = X8
| X6 = X8 ) ) )
| isPrime0(X6) ) ) ) ),
inference(rectify,[],[f39]) ).
fof(f56,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f57,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f87,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f88,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f87]) ).
fof(f93,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f94,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f93]) ).
fof(f99,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f100,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f99]) ).
fof(f105,plain,
? [X0] :
( ! [X6] :
( ~ aNaturalNumber0(X6)
| ( ! [X7] :
( ~ aNaturalNumber0(X7)
| sdtasdt0(X6,X7) != X0 )
& ~ doDivides0(X6,X0) )
| ( ( sz00 = X6
| sz10 = X6
| ? [X8] :
( sz10 != X8
& X6 != X8
& aNaturalNumber0(X8)
& ? [X9] :
( aNaturalNumber0(X9)
& sdtasdt0(X8,X9) = X6 )
& doDivides0(X8,X6) ) )
& ~ isPrime0(X6) ) )
& ! [X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1)
& X2 != sz00
& X2 != sz10
& ! [X4] :
( sz10 = X4
| X2 = X4
| ~ aNaturalNumber0(X4)
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| sdtasdt0(X4,X5) != X2 )
& ~ doDivides0(X4,X2) ) )
& isPrime0(X2) )
| ~ iLess0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sz10 = X1 )
& aNaturalNumber0(X0)
& X0 != sz00
& X0 != sz10 ),
inference(ennf_transformation,[],[f42]) ).
fof(f106,plain,
? [X0] :
( ! [X6] :
( ~ aNaturalNumber0(X6)
| ( ! [X7] :
( ~ aNaturalNumber0(X7)
| sdtasdt0(X6,X7) != X0 )
& ~ doDivides0(X6,X0) )
| ( ( sz00 = X6
| sz10 = X6
| ? [X8] :
( sz10 != X8
& X6 != X8
& aNaturalNumber0(X8)
& ? [X9] :
( aNaturalNumber0(X9)
& sdtasdt0(X8,X9) = X6 )
& doDivides0(X8,X6) ) )
& ~ isPrime0(X6) ) )
& ! [X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1)
& X2 != sz00
& X2 != sz10
& ! [X4] :
( sz10 = X4
| X2 = X4
| ~ aNaturalNumber0(X4)
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| sdtasdt0(X4,X5) != X2 )
& ~ doDivides0(X4,X2) ) )
& isPrime0(X2) )
| ~ iLess0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sz10 = X1 )
& aNaturalNumber0(X0)
& X0 != sz00
& X0 != sz10 ),
inference(flattening,[],[f105]) ).
fof(f107,definition,
! [X2] :
( ! [X4] :
( sz10 = X4
| X2 = X4
| ~ aNaturalNumber0(X4)
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| sdtasdt0(X4,X5) != X2 )
& ~ doDivides0(X4,X2) ) )
| ~ sP0(X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f108,definition,
! [X6] :
( ( ( sz00 = X6
| sz10 = X6
| ? [X8] :
( sz10 != X8
& X6 != X8
& aNaturalNumber0(X8)
& ? [X9] :
( aNaturalNumber0(X9)
& sdtasdt0(X8,X9) = X6 )
& doDivides0(X8,X6) ) )
& ~ isPrime0(X6) )
| ~ sP1(X6) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f109,plain,
? [X0] :
( ! [X6] :
( ~ aNaturalNumber0(X6)
| ( ! [X7] :
( ~ aNaturalNumber0(X7)
| sdtasdt0(X6,X7) != X0 )
& ~ doDivides0(X6,X0) )
| sP1(X6) )
& ! [X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1)
& X2 != sz00
& X2 != sz10
& sP0(X2)
& isPrime0(X2) )
| ~ iLess0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sz10 = X1 )
& aNaturalNumber0(X0)
& X0 != sz00
& X0 != sz10 ),
inference(definition_folding,[],[f106,f108,f107]) ).
fof(f124,plain,
! [X6] :
( ( ( sz00 = X6
| sz10 = X6
| ? [X8] :
( sz10 != X8
& X6 != X8
& aNaturalNumber0(X8)
& ? [X9] :
( aNaturalNumber0(X9)
& sdtasdt0(X8,X9) = X6 )
& doDivides0(X8,X6) ) )
& ~ isPrime0(X6) )
| ~ sP1(X6) ),
inference(nnf_transformation,[],[f108]) ).
fof(f125,plain,
! [X0] :
( ( ( sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
& doDivides0(X1,X0) ) )
& ~ isPrime0(X0) )
| ~ sP1(X0) ),
inference(rectify,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ( ( sz00 = X0
| sz10 = X0
| ( sz10 != sK5(X0)
& sK5(X0) != X0
& aNaturalNumber0(sK5(X0))
& aNaturalNumber0(sK6(X0))
& sdtasdt0(sK5(X0),sK6(X0)) = X0
& doDivides0(sK5(X0),X0) ) )
& ~ isPrime0(X0) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X1,sK5(X0)),skolemize(X2,sK6(X0))],[f125]) ).
fof(f129,plain,
? [X0] :
( ! [X1] :
( ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != X0 )
& ~ doDivides0(X1,X0) )
| sP1(X1) )
& ! [X3] :
( ? [X4] :
( aNaturalNumber0(X4)
& ? [X5] :
( aNaturalNumber0(X5)
& sdtasdt0(X4,X5) = X3 )
& doDivides0(X4,X3)
& sz00 != X4
& sz10 != X4
& sP0(X4)
& isPrime0(X4) )
| ~ iLess0(X3,X0)
| ~ aNaturalNumber0(X3)
| sz00 = X3
| sz10 = X3 )
& aNaturalNumber0(X0)
& X0 != sz00
& X0 != sz10 ),
inference(rectify,[],[f109]) ).
fof(f130,plain,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sK7 )
& ~ doDivides0(X1,sK7) )
| sP1(X1) )
& ! [X3] :
( ( aNaturalNumber0(sK8(X3))
& aNaturalNumber0(sK9(X3))
& sdtasdt0(sK8(X3),sK9(X3)) = X3
& doDivides0(sK8(X3),X3)
& sz00 != sK8(X3)
& sz10 != sK8(X3)
& sP0(sK8(X3))
& isPrime0(sK8(X3)) )
| ~ iLess0(X3,sK7)
| ~ aNaturalNumber0(X3)
| sz00 = X3
| sz10 = X3 )
& aNaturalNumber0(sK7)
& sz00 != sK7
& sz10 != sK7 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X4,sK8(X3)),skolemize(X5,sK9(X3))],[f129]) ).
fof(f133,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f144,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f177,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f184,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f187,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f196,plain,
! [X0] :
( ~ sP1(X0)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f197,plain,
! [X0] :
( doDivides0(sK5(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f198,plain,
! [X0] :
( sdtasdt0(sK5(X0),sK6(X0)) = X0
| sz10 = X0
| sz00 = X0
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f199,plain,
! [X0] :
( aNaturalNumber0(sK6(X0))
| sz10 = X0
| sz00 = X0
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f200,plain,
! [X0] :
( aNaturalNumber0(sK5(X0))
| sz10 = X0
| sz00 = X0
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f201,plain,
! [X0] :
( sK5(X0) != X0
| sz10 = X0
| sz00 = X0
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f202,plain,
! [X0] :
( sz10 != sK5(X0)
| sz10 = X0
| sz00 = X0
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f205,plain,
sz10 != sK7,
inference(cnf_transformation,[],[f130]) ).
fof(f206,plain,
sz00 != sK7,
inference(cnf_transformation,[],[f130]) ).
fof(f207,plain,
aNaturalNumber0(sK7),
inference(cnf_transformation,[],[f130]) ).
fof(f208,plain,
! [X3] :
( isPrime0(sK8(X3))
| ~ iLess0(X3,sK7)
| ~ aNaturalNumber0(X3)
| sz00 = X3
| sz10 = X3 ),
inference(cnf_transformation,[],[f130]) ).
fof(f212,plain,
! [X3] :
( doDivides0(sK8(X3),X3)
| ~ iLess0(X3,sK7)
| ~ aNaturalNumber0(X3)
| sz00 = X3
| sz10 = X3 ),
inference(cnf_transformation,[],[f130]) ).
fof(f215,plain,
! [X3] :
( aNaturalNumber0(sK8(X3))
| ~ iLess0(X3,sK7)
| ~ aNaturalNumber0(X3)
| sz00 = X3
| sz10 = X3 ),
inference(cnf_transformation,[],[f130]) ).
fof(f216,plain,
! [X1] :
( ~ doDivides0(X1,sK7)
| ~ aNaturalNumber0(X1)
| sP1(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f217,plain,
! [X2,X1] :
( sdtasdt0(X1,X2) != sK7
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sP1(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f232,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sP1(X0)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK7) ),
inference(resolution,[],[f216,f184]) ).
fof(f235,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sP1(X0)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK7) ),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f238,plain,
! [X0,X1] :
( ~ doDivides0(X1,sK7)
| sP1(X0)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f235,f207]) ).
fof(f262,plain,
! [X0] :
( sK7 != X0
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f217,f143]) ).
fof(f274,plain,
! [X0] :
( sK7 != X0
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| sP1(X0) ),
inference(duplicate_literal_removal,[],[f262]) ).
fof(f284,plain,
! [X0] :
( sK7 != X0
| ~ aNaturalNumber0(X0)
| sP1(X0) ),
inference(forward_subsumption_resolution,[],[f274,f133]) ).
fof(f294,plain,
( ~ aNaturalNumber0(sK7)
| sP1(sK7) ),
inference(equality_resolution,[],[f284]) ).
fof(f295,plain,
sP1(sK7),
inference(forward_subsumption_resolution,[],[f294,f207]) ).
fof(f442,plain,
! [X0] :
( sP1(X0)
| ~ doDivides0(X0,sK5(sK7))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(sK7))
| sz10 = sK7
| sz00 = sK7
| ~ sP1(sK7) ),
inference(resolution,[],[f238,f197]) ).
fof(f447,plain,
! [X0] :
( sP1(X0)
| ~ doDivides0(X0,sK5(sK7))
| ~ aNaturalNumber0(X0)
| sz10 = sK7
| sz00 = sK7
| ~ sP1(sK7) ),
inference(forward_subsumption_resolution,[],[f442,f200]) ).
fof(f450,plain,
! [X0] :
( sP1(X0)
| ~ doDivides0(X0,sK5(sK7))
| ~ aNaturalNumber0(X0)
| sz00 = sK7
| ~ sP1(sK7) ),
inference(forward_subsumption_resolution,[],[f447,f205]) ).
fof(f452,plain,
! [X0] :
( sP1(X0)
| ~ doDivides0(X0,sK5(sK7))
| ~ aNaturalNumber0(X0)
| ~ sP1(sK7) ),
inference(forward_subsumption_resolution,[],[f450,f206]) ).
fof(f454,plain,
! [X0] :
( ~ doDivides0(X0,sK5(sK7))
| sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f452,f295]) ).
fof(f460,plain,
( sP1(sK8(sK5(sK7)))
| ~ aNaturalNumber0(sK8(sK5(sK7)))
| ~ iLess0(sK5(sK7),sK7)
| ~ aNaturalNumber0(sK5(sK7))
| sz00 = sK5(sK7)
| sz10 = sK5(sK7) ),
inference(resolution,[],[f454,f212]) ).
fof(f462,plain,
( sP1(sK8(sK5(sK7)))
| ~ iLess0(sK5(sK7),sK7)
| ~ aNaturalNumber0(sK5(sK7))
| sz00 = sK5(sK7)
| sz10 = sK5(sK7) ),
inference(forward_subsumption_resolution,[],[f460,f215]) ).
fof(f466,definition,
( spl10_9
<=> aNaturalNumber0(sK5(sK7)) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f467,plain,
( ~ aNaturalNumber0(sK5(sK7))
| spl10_9 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f473,definition,
( spl10_11
<=> sz10 = sK5(sK7) ),
introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).
fof(f474,plain,
( sz10 = sK5(sK7)
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f476,definition,
( spl10_12
<=> sz00 = sK5(sK7) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f477,plain,
( sz00 = sK5(sK7)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,definition,
( spl10_13
<=> iLess0(sK5(sK7),sK7) ),
introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition]) ).
fof(f480,plain,
( ~ iLess0(sK5(sK7),sK7)
| spl10_13 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,definition,
( spl10_14
<=> sP1(sK8(sK5(sK7))) ),
introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition]) ).
fof(f483,plain,
( sP1(sK8(sK5(sK7)))
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f484,plain,
( spl10_11
| spl10_12
| ~ spl10_9
| ~ spl10_13
| spl10_14 ),
inference(avatar_split_clause,[],[f462,f482,f479,f466,f476,f473]) ).
fof(f496,plain,
( sz10 = sK7
| sz00 = sK7
| ~ sP1(sK7)
| spl10_9 ),
inference(resolution,[],[f467,f200]) ).
fof(f497,plain,
( sz00 = sK7
| ~ sP1(sK7)
| spl10_9 ),
inference(forward_subsumption_resolution,[],[f496,f205]) ).
fof(f498,plain,
( ~ sP1(sK7)
| spl10_9 ),
inference(forward_subsumption_resolution,[],[f497,f206]) ).
fof(f499,plain,
( $false
| spl10_9 ),
inference(forward_subsumption_resolution,[],[f498,f295]) ).
fof(f500,plain,
spl10_9,
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f509,plain,
( sz10 != sz10
| sz10 = sK7
| sz00 = sK7
| ~ sP1(sK7)
| ~ spl10_11 ),
inference(superposition,[],[f202,f474]) ).
fof(f510,plain,
( sz10 = sK7
| sz00 = sK7
| ~ sP1(sK7)
| ~ spl10_11 ),
inference(trivial_inequality_removal,[],[f509]) ).
fof(f511,plain,
( sz00 = sK7
| ~ sP1(sK7)
| ~ spl10_11 ),
inference(forward_subsumption_resolution,[],[f510,f205]) ).
fof(f514,plain,
( ~ sP1(sK7)
| ~ spl10_11 ),
inference(forward_subsumption_resolution,[],[f511,f206]) ).
fof(f517,plain,
( $false
| ~ spl10_11 ),
inference(forward_subsumption_resolution,[],[f514,f295]) ).
fof(f518,plain,
~ spl10_11,
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f525,plain,
( sK7 = sdtasdt0(sz00,sK6(sK7))
| sz10 = sK7
| sz00 = sK7
| ~ sP1(sK7)
| ~ spl10_12 ),
inference(superposition,[],[f198,f477]) ).
fof(f529,plain,
( sK7 = sdtasdt0(sz00,sK6(sK7))
| sz00 = sK7
| ~ sP1(sK7)
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f525,f205]) ).
fof(f531,plain,
( sK7 = sdtasdt0(sz00,sK6(sK7))
| ~ sP1(sK7)
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f529,f206]) ).
fof(f533,plain,
( sK7 = sdtasdt0(sz00,sK6(sK7))
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f531,f295]) ).
fof(f648,plain,
( sz00 = sK7
| ~ aNaturalNumber0(sK6(sK7))
| ~ spl10_12 ),
inference(superposition,[],[f144,f533]) ).
fof(f685,plain,
( ~ aNaturalNumber0(sK6(sK7))
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f648,f206]) ).
fof(f689,definition,
( spl10_19
<=> aNaturalNumber0(sK6(sK7)) ),
introduced(definition,[new_symbols(definition,[spl10_19])],[avatar_definition]) ).
fof(f690,plain,
( ~ aNaturalNumber0(sK6(sK7))
| spl10_19 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f751,plain,
( ~ spl10_19
| ~ spl10_12 ),
inference(avatar_split_clause,[],[f685,f476,f689]) ).
fof(f771,plain,
( sz10 = sK7
| sz00 = sK7
| ~ sP1(sK7)
| spl10_19 ),
inference(resolution,[],[f690,f199]) ).
fof(f772,plain,
( sz00 = sK7
| ~ sP1(sK7)
| spl10_19 ),
inference(forward_subsumption_resolution,[],[f771,f205]) ).
fof(f773,plain,
( ~ sP1(sK7)
| spl10_19 ),
inference(forward_subsumption_resolution,[],[f772,f206]) ).
fof(f774,plain,
( $false
| spl10_19 ),
inference(forward_subsumption_resolution,[],[f773,f295]) ).
fof(f775,plain,
spl10_19,
inference(avatar_contradiction_clause,[],[f774]) ).
fof(f786,definition,
( spl10_35
<=> sdtlseqdt0(sK5(sK7),sK7) ),
introduced(definition,[new_symbols(definition,[spl10_35])],[avatar_definition]) ).
fof(f787,plain,
( ~ sdtlseqdt0(sK5(sK7),sK7)
| spl10_35 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f789,definition,
( spl10_36
<=> sK7 = sK5(sK7) ),
introduced(definition,[new_symbols(definition,[spl10_36])],[avatar_definition]) ).
fof(f790,plain,
( sK7 = sK5(sK7)
| ~ spl10_36 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f836,definition,
( spl10_39
<=> doDivides0(sK5(sK7),sK7) ),
introduced(definition,[new_symbols(definition,[spl10_39])],[avatar_definition]) ).
fof(f837,plain,
( ~ doDivides0(sK5(sK7),sK7)
| spl10_39 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f935,plain,
( ~ isPrime0(sK8(sK5(sK7)))
| ~ spl10_14 ),
inference(resolution,[],[f483,f196]) ).
fof(f1039,plain,
( ~ iLess0(sK5(sK7),sK7)
| ~ aNaturalNumber0(sK5(sK7))
| sz00 = sK5(sK7)
| sz10 = sK5(sK7)
| ~ spl10_14 ),
inference(resolution,[],[f935,f208]) ).
fof(f1043,plain,
( spl10_11
| spl10_12
| ~ spl10_9
| ~ spl10_13
| ~ spl10_14 ),
inference(avatar_split_clause,[],[f1039,f482,f479,f466,f476,f473]) ).
fof(f1135,plain,
( sK7 = sK5(sK7)
| ~ sdtlseqdt0(sK5(sK7),sK7)
| ~ aNaturalNumber0(sK5(sK7))
| ~ aNaturalNumber0(sK7)
| spl10_13 ),
inference(resolution,[],[f480,f177]) ).
fof(f1136,plain,
( sK7 = sK5(sK7)
| ~ sdtlseqdt0(sK5(sK7),sK7)
| ~ aNaturalNumber0(sK5(sK7))
| spl10_13 ),
inference(forward_subsumption_resolution,[],[f1135,f207]) ).
fof(f1137,plain,
( ~ spl10_9
| ~ spl10_35
| spl10_36
| spl10_13 ),
inference(avatar_split_clause,[],[f1136,f479,f789,f786,f466]) ).
fof(f1233,plain,
( sK7 != sK7
| sz10 = sK7
| sz00 = sK7
| ~ sP1(sK7)
| ~ spl10_36 ),
inference(superposition,[],[f201,f790]) ).
fof(f1235,plain,
( sz10 = sK7
| sz00 = sK7
| ~ sP1(sK7)
| ~ spl10_36 ),
inference(trivial_inequality_removal,[],[f1233]) ).
fof(f1236,plain,
( sz00 = sK7
| ~ sP1(sK7)
| ~ spl10_36 ),
inference(forward_subsumption_resolution,[],[f1235,f205]) ).
fof(f1240,plain,
( ~ sP1(sK7)
| ~ spl10_36 ),
inference(forward_subsumption_resolution,[],[f1236,f206]) ).
fof(f1243,plain,
( $false
| ~ spl10_36 ),
inference(forward_subsumption_resolution,[],[f1240,f295]) ).
fof(f1244,plain,
~ spl10_36,
inference(avatar_contradiction_clause,[],[f1243]) ).
fof(f1336,plain,
( ~ doDivides0(sK5(sK7),sK7)
| sz00 = sK7
| ~ aNaturalNumber0(sK5(sK7))
| ~ aNaturalNumber0(sK7)
| spl10_35 ),
inference(resolution,[],[f787,f187]) ).
fof(f1341,plain,
( ~ doDivides0(sK5(sK7),sK7)
| ~ aNaturalNumber0(sK5(sK7))
| ~ aNaturalNumber0(sK7)
| spl10_35 ),
inference(forward_subsumption_resolution,[],[f1336,f206]) ).
fof(f1344,plain,
( ~ doDivides0(sK5(sK7),sK7)
| ~ aNaturalNumber0(sK5(sK7))
| spl10_35 ),
inference(forward_subsumption_resolution,[],[f1341,f207]) ).
fof(f1345,plain,
( ~ spl10_9
| ~ spl10_39
| spl10_35 ),
inference(avatar_split_clause,[],[f1344,f786,f836,f466]) ).
fof(f1347,plain,
( sz10 = sK7
| sz00 = sK7
| ~ sP1(sK7)
| spl10_39 ),
inference(resolution,[],[f837,f197]) ).
fof(f1350,plain,
( sz00 = sK7
| ~ sP1(sK7)
| spl10_39 ),
inference(forward_subsumption_resolution,[],[f1347,f205]) ).
fof(f1355,plain,
( ~ sP1(sK7)
| spl10_39 ),
inference(forward_subsumption_resolution,[],[f1350,f206]) ).
fof(f1356,plain,
( $false
| spl10_39 ),
inference(forward_subsumption_resolution,[],[f1355,f295]) ).
fof(f1357,plain,
spl10_39,
inference(avatar_contradiction_clause,[],[f1356]) ).
cnf(s8,plain,
( ~ spl10_9
| spl10_11
| spl10_12
| ~ spl10_13
| spl10_14 ),
inference(sat_conversion,[],[f484]) ).
cnf(s11,plain,
spl10_9,
inference(sat_conversion,[],[f500]) ).
cnf(s12,plain,
~ spl10_11,
inference(sat_conversion,[],[f518]) ).
cnf(s32,plain,
( ~ spl10_12
| ~ spl10_19 ),
inference(sat_conversion,[],[f751]) ).
cnf(s34,plain,
spl10_19,
inference(sat_conversion,[],[f775]) ).
cnf(s39,plain,
( ~ spl10_9
| spl10_11
| spl10_12
| ~ spl10_13
| ~ spl10_14 ),
inference(sat_conversion,[],[f1043]) ).
cnf(s40,plain,
( ~ spl10_9
| spl10_13
| ~ spl10_35
| spl10_36 ),
inference(sat_conversion,[],[f1137]) ).
cnf(s42,plain,
~ spl10_36,
inference(sat_conversion,[],[f1244]) ).
cnf(s45,plain,
( ~ spl10_9
| spl10_35
| ~ spl10_39 ),
inference(sat_conversion,[],[f1345]) ).
cnf(s47,plain,
spl10_39,
inference(sat_conversion,[],[f1357]) ).
cnf(s48,plain,
( ~ spl10_9
| spl10_35 ),
inference(rat,[],[s45,s47]) ).
cnf(s49,plain,
( ~ spl10_9
| spl10_13
| ~ spl10_35 ),
inference(rat,[],[s40,s42]) ).
cnf(s52,plain,
~ spl10_12,
inference(rat,[],[s32,s34]) ).
cnf(s54,plain,
spl10_35,
inference(rat,[],[s48,s11]) ).
cnf(s55,plain,
spl10_13,
inference(rat,[],[s49,s54,s11]) ).
cnf(s56,plain,
~ spl10_14,
inference(rat,[],[s39,s11,s12,s52,s55]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s8,s56,s55,s52,s12,s11]) ).
fof(f1358,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM481+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % 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 20:04:55 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 4.17/2.07 % (1747337)Detected formulas, will run a generic FOF schedule.
% 4.17/2.07 % (1747494)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2438566486:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.17/2.07 % (1747490)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=1359590591:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.17/2.07 % (1747495)dis-21_1_sil=8000:lcm=predicate:random_seed=2289868215: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)
% 4.17/2.07 % (1747491)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=769041025:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.17/2.07 % (1747489)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=2919855989:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.17/2.07 % (1747493)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1470225163:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.17/2.07 % (1747492)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=919815600:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.17/2.07 % (1747494)Instruction limit reached!
% 4.17/2.07 % (1747494)------------------------------
% 4.17/2.07 % (1747494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747494)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747494)Termination reason: Instruction limit
% 4.17/2.07 % (1747494)Termination phase: Saturation
% 4.17/2.07 % (1747494)Time elapsed: 0.048 s
% 4.17/2.07 % (1747494)Peak memory usage: 90 MB
% 4.17/2.07 % (1747494)Instructions burned: 139 (million)
% 4.17/2.07 % (1747492)Instruction limit reached!
% 4.17/2.07 % (1747492)------------------------------
% 4.17/2.07 % (1747492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747492)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747492)Termination reason: Instruction limit
% 4.17/2.07 % (1747492)Termination phase: Saturation
% 4.17/2.07 % (1747492)Time elapsed: 0.059 s
% 4.17/2.07 % (1747492)Peak memory usage: 89 MB
% 4.17/2.07 % (1747492)Instructions burned: 109 (million)
% 4.17/2.07 % (1747493)Instruction limit reached!
% 4.17/2.07 % (1747493)------------------------------
% 4.17/2.07 % (1747493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747493)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747493)Termination reason: Instruction limit
% 4.17/2.07 % (1747493)Termination phase: Saturation
% 4.17/2.07 % (1747493)Time elapsed: 0.063 s
% 4.17/2.07 % (1747493)Peak memory usage: 88 MB
% 4.17/2.07 % (1747493)Instructions burned: 121 (million)
% 4.17/2.07 % (1747495)Instruction limit reached!
% 4.17/2.07 % (1747495)------------------------------
% 4.17/2.07 % (1747495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747495)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747495)Termination reason: Instruction limit
% 4.17/2.07 % (1747495)Termination phase: Saturation
% 4.17/2.07 % (1747495)Time elapsed: 0.077 s
% 4.17/2.07 % (1747495)Peak memory usage: 90 MB
% 4.17/2.07 % (1747495)Instructions burned: 130 (million)
% 4.17/2.07 % (1747503)lrs+10_1_sil=8000:sp=occurrence:random_seed=337519952:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.17/2.07 % (1747505)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4269027976:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.17/2.07 % (1747504)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1078148765:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.17/2.07 % (1747503)Instruction limit reached!
% 4.17/2.07 % (1747503)------------------------------
% 4.17/2.07 % (1747503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747503)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747503)Termination reason: Instruction limit
% 4.17/2.07 % (1747503)Termination phase: Saturation
% 4.17/2.07 % (1747503)Time elapsed: 0.091 s
% 4.17/2.07 % (1747503)Peak memory usage: 92 MB
% 4.17/2.07 % (1747503)Instructions burned: 285 (million)
% 4.17/2.07 % (1747506)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=1832002889:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.17/2.07 % (1747504)Instruction limit reached!
% 4.17/2.07 % (1747504)------------------------------
% 4.17/2.07 % (1747504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747504)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747504)Termination reason: Instruction limit
% 4.17/2.07 % (1747504)Termination phase: Saturation
% 4.17/2.07 % (1747504)Time elapsed: 0.078 s
% 4.17/2.07 % (1747504)Peak memory usage: 91 MB
% 4.17/2.07 % (1747504)Instructions burned: 158 (million)
% 4.17/2.07 % (1747510)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2064976293:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.17/2.07 % (1747506)Instruction limit reached!
% 4.17/2.07 % (1747506)------------------------------
% 4.17/2.07 % (1747506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747506)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747506)Termination reason: Instruction limit
% 4.17/2.07 % (1747506)Termination phase: Saturation
% 4.17/2.07 % (1747506)Time elapsed: 0.130 s
% 4.17/2.07 % (1747506)Peak memory usage: 93 MB
% 4.17/2.07 % (1747506)Instructions burned: 249 (million)
% 4.17/2.07 % (1747505)Instruction limit reached!
% 4.17/2.07 % (1747505)------------------------------
% 4.17/2.07 % (1747505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747505)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747505)Termination reason: Instruction limit
% 4.17/2.07 % (1747505)Termination phase: Saturation
% 4.17/2.07 % (1747505)Time elapsed: 0.202 s
% 4.17/2.07 % (1747505)Peak memory usage: 91 MB
% 4.17/2.07 % (1747505)Instructions burned: 326 (million)
% 4.17/2.07 % (1747510)Instruction limit reached!
% 4.17/2.07 % (1747510)------------------------------
% 4.17/2.07 % (1747510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747510)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747510)Termination reason: Instruction limit
% 4.17/2.07 % (1747510)Termination phase: Saturation
% 4.17/2.07 % (1747510)Time elapsed: 0.083 s
% 4.17/2.07 % (1747510)Peak memory usage: 89 MB
% 4.17/2.07 % (1747510)Instructions burned: 295 (million)
% 4.17/2.07 % (1747512)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1793439462:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.17/2.07 % (1747514)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3720401171:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.17/2.07 % (1747516)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2605298439:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.17/2.07 % (1747515)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=167124892:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.17/2.07 % (1747516)Instruction limit reached!
% 4.17/2.07 % (1747516)------------------------------
% 4.17/2.07 % (1747516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747516)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747516)Termination reason: Instruction limit
% 4.17/2.07 % (1747516)Termination phase: Saturation
% 4.17/2.07 % (1747516)Time elapsed: 0.032 s
% 4.17/2.07 % (1747516)Peak memory usage: 89 MB
% 4.17/2.07 % (1747516)Instructions burned: 116 (million)
% 4.17/2.07 % (1747514)Instruction limit reached!
% 4.17/2.07 % (1747514)------------------------------
% 4.17/2.07 % (1747514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747514)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747514)Termination reason: Instruction limit
% 4.17/2.07 % (1747514)Termination phase: Saturation
% 4.17/2.07 % (1747514)Time elapsed: 0.074 s
% 4.17/2.07 % (1747514)Peak memory usage: 90 MB
% 4.17/2.07 % (1747514)Instructions burned: 113 (million)
% 4.17/2.07 % (1747515)Instruction limit reached!
% 4.17/2.07 % (1747515)------------------------------
% 4.17/2.07 % (1747515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747515)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747515)Termination reason: Instruction limit
% 4.17/2.07 % (1747515)Termination phase: Saturation
% 4.17/2.07 % (1747515)Time elapsed: 0.064 s
% 4.17/2.07 % (1747515)Peak memory usage: 89 MB
% 4.17/2.07 % (1747515)Instructions burned: 128 (million)
% 4.17/2.07 % (1747521)lrs+10_1_sil=8000:sp=occurrence:random_seed=418388510:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 4.17/2.07 % (1747522)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=874655288:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 4.17/2.07 % (1747522)First to succeed.
% 4.17/2.07 % (1747523)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=214732594:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 4.17/2.07 % (1747522)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1747337"
% 4.17/2.07 % (1747489)Also succeeded, but the first one will report.
% 4.17/2.07 % (1747521)Instruction limit reached!
% 4.17/2.07 % (1747521)------------------------------
% 4.17/2.07 % (1747521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/2.07 % (1747521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/2.07 % (1747521)CaDiCaL version: 2.1.3
% 4.17/2.07 % (1747521)Termination reason: Instruction limit
% 4.17/2.07 % (1747521)Termination phase: Saturation
% 4.17/2.07 % (1747521)Time elapsed: 0.272 s
% 4.17/2.07 % (1747521)Peak memory usage: 97 MB
% 4.17/2.07 % (1747521)Instructions burned: 907 (million)
% 4.17/2.07 % (1747522)Refutation found. Thanks to Tanya!
% 4.17/2.07 % SZS status Theorem for theBenchmark
% 4.17/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 9.08/2.26 % (1747522)------------------------------
% 9.08/2.26 % (1747522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.08/2.26 % (1747522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/2.26 % (1747522)CaDiCaL version: 2.1.3
% 9.08/2.26 % (1747522)Termination reason: Refutation
% 9.08/2.26 % (1747522)Time elapsed: 0.040 s
% 9.08/2.26 % (1747522)Peak memory usage: 90 MB
% 9.08/2.26 % (1747522)Instructions burned: 72 (million)
% 9.08/2.26 % (1747522)------------------------------
% 9.08/2.26 % (1747522)------------------------------
% 9.08/2.26 % (1747337)Success in time 1.212 s
% 9.08/2.26 % Vampire exiting
%------------------------------------------------------------------------------