%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM517+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:24:38 PM UTC 2026
% Result : Theorem 30.65s 5.01s
% Output : Refutation 30.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of formulae : 111 ( 26 unt; 3 def)
% Number of atoms : 546 ( 178 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 654 ( 219 ~; 229 |; 187 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 139 ( 96 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
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(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ( ( X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) )
=> ( X3 = sz10
| X3 = X2 ) ) )
| isPrime0(X2) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X1) = sdtasdt0(X2,X3) )
| doDivides0(X2,sdtasdt0(X0,X1)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X3] :
( aNaturalNumber0(X3)
& X0 = sdtasdt0(X2,X3) )
& doDivides0(X2,X0) )
| ( ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(f41,axiom,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f54,axiom,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2529) ).
fof(f55,axiom,
( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2686) ).
fof(f56,conjecture,
( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X0) )
| doDivides0(xp,sdtsldt0(xn,xr)) ) )
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X0) )
| doDivides0(xp,sdtsldt0(xn,xr)) ) )
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ( ( X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) )
=> ( X3 = sz10
| X3 = X2 ) ) )
| isPrime0(X2) )
& ( ? [X5] :
( aNaturalNumber0(X5)
& sdtasdt0(X0,X1) = sdtasdt0(X2,X5) )
| doDivides0(X2,sdtasdt0(X0,X1)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X6] :
( aNaturalNumber0(X6)
& sdtasdt0(X2,X6) = X0 )
& doDivides0(X2,X0) )
| ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) ) ) ) ) ),
inference(rectify,[],[f40]) ).
fof(f61,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(rectify,[],[f41]) ).
fof(f66,plain,
~ ( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X0) )
| doDivides0(xp,sdtsldt0(xn,xr)) ) )
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(rectify,[],[f57]) ).
fof(f67,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f68,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f67]) ).
fof(f71,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f72,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f71]) ).
fof(f76,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f77,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f76]) ).
fof(f111,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f112,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f111]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ( ? [X6] :
( aNaturalNumber0(X6)
& sdtasdt0(X2,X6) = X0 )
& doDivides0(X2,X0) )
| ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( ( sz00 = X2
| sz10 = X2
| ? [X3] :
( sz10 != X3
& X2 != X3
& aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) )
& ~ isPrime0(X2) )
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X5) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ( ? [X6] :
( aNaturalNumber0(X6)
& sdtasdt0(X2,X6) = X0 )
& doDivides0(X2,X0) )
| ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( ( sz00 = X2
| sz10 = X2
| ? [X3] :
( sz10 != X3
& X2 != X3
& aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) )
& ~ isPrime0(X2) )
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X5) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f131]) ).
fof(f133,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f134,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(flattening,[],[f133]) ).
fof(f142,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(ennf_transformation,[],[f55]) ).
fof(f143,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != sdtsldt0(xn,xr) )
& ~ doDivides0(xp,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) )
& ~ doDivides0(xp,xm) ),
inference(ennf_transformation,[],[f66]) ).
fof(f145,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != sdtsldt0(xn,xr) )
& ~ doDivides0(xp,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) )
& ~ doDivides0(xp,xm) ),
inference(flattening,[],[f144]) ).
fof(f146,definition,
! [X2] :
( ( ( sz00 = X2
| sz10 = X2
| ? [X3] :
( sz10 != X3
& X2 != X3
& aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) )
& ~ isPrime0(X2) )
| ~ sP0(X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f147,definition,
! [X1,X2] :
( ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ sP1(X1,X2) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ( ? [X6] :
( aNaturalNumber0(X6)
& sdtasdt0(X2,X6) = X0 )
& doDivides0(X2,X0) )
| sP1(X1,X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP0(X2)
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X5) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(definition_folding,[],[f132,f147,f146]) ).
fof(f166,plain,
! [X1,X2] :
( ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ sP1(X1,X2) ),
inference(nnf_transformation,[],[f147]) ).
fof(f167,plain,
! [X0,X1] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
& doDivides0(X1,X0) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f166]) ).
fof(f168,plain,
! [X0,X1] :
( ( aNaturalNumber0(sK7(X0,X1))
& sdtasdt0(X1,sK7(X0,X1)) = X0
& doDivides0(X1,X0) )
| ~ sP1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f167]) ).
fof(f169,plain,
! [X2] :
( ( ( sz00 = X2
| sz10 = X2
| ? [X3] :
( sz10 != X3
& X2 != X3
& aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) )
& ~ isPrime0(X2) )
| ~ sP0(X2) ),
inference(nnf_transformation,[],[f146]) ).
fof(f170,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) )
| ~ sP0(X0) ),
inference(rectify,[],[f169]) ).
fof(f171,plain,
! [X0] :
( ( ( sz00 = X0
| sz10 = X0
| ( sz10 != sK8(X0)
& sK8(X0) != X0
& aNaturalNumber0(sK8(X0))
& aNaturalNumber0(sK9(X0))
& sdtasdt0(sK8(X0),sK9(X0)) = X0
& doDivides0(sK8(X0),X0) ) )
& ~ isPrime0(X0) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0))],[f170]) ).
fof(f172,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X2,X3) = X0 )
& doDivides0(X2,X0) )
| sP1(X1,X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP0(X2)
| ( ! [X4] :
( ~ aNaturalNumber0(X4)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X4) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(rectify,[],[f148]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ( aNaturalNumber0(sK10(X0,X2))
& sdtasdt0(X2,sK10(X0,X2)) = X0
& doDivides0(X2,X0) )
| sP1(X1,X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP0(X2)
| ( ! [X4] :
( ~ aNaturalNumber0(X4)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X4) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X2))],[f172]) ).
fof(f174,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& aNaturalNumber0(sK11)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK11)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11)],[f134]) ).
fof(f185,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sK22)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK22)
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X0,sK22)],[f54]) ).
fof(f186,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sK23)
& sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sK23)
& sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X0,sK23)],[f143]) ).
fof(f190,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f192,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f196,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f233,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f255,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f256,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f258,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| doDivides0(X1,X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f262,plain,
! [X0] :
( doDivides0(sK8(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f265,plain,
! [X0] :
( aNaturalNumber0(sK8(X0))
| sz10 = X0
| sz00 = X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f266,plain,
! [X0] :
( sK8(X0) != X0
| sz10 = X0
| sz00 = X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f267,plain,
! [X0] :
( sz10 != sK8(X0)
| sz10 = X0
| sz00 = X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| doDivides0(X2,X0)
| sP0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f173]) ).
fof(f278,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| xp = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 ),
inference(cnf_transformation,[],[f174]) ).
fof(f280,plain,
sz10 != xp,
inference(cnf_transformation,[],[f174]) ).
fof(f281,plain,
sz00 != xp,
inference(cnf_transformation,[],[f174]) ).
fof(f336,plain,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f185]) ).
fof(f337,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK22),
inference(cnf_transformation,[],[f185]) ).
fof(f341,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[],[f186]) ).
fof(f342,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sK23),
inference(cnf_transformation,[],[f186]) ).
fof(f343,plain,
aNaturalNumber0(sK23),
inference(cnf_transformation,[],[f186]) ).
fof(f348,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),
inference(cnf_transformation,[],[f186]) ).
fof(f349,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f145]) ).
fof(f352,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f145]) ).
fof(f353,plain,
~ doDivides0(xp,sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f145]) ).
fof(f367,definition,
sF24 = sdtsldt0(xn,xr),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f368,plain,
sdtsldt0(xn,xr) = sF24,
inference(reorient_equations,[],[f367]) ).
fof(f370,plain,
~ doDivides0(xp,sF24),
inference(definition_folding,[],[f353,f368]) ).
fof(f371,plain,
aNaturalNumber0(sF24),
inference(definition_folding,[],[f352,f368]) ).
fof(f579,plain,
sdtasdt0(xp,sK22) = sdtasdt0(sF24,xm),
inference(superposition,[],[f337,f368]) ).
fof(f580,plain,
doDivides0(xp,sdtasdt0(xp,sK22)),
inference(superposition,[],[f336,f337]) ).
fof(f624,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sF24) = sdtpldt0(sF24,X0) ),
inference(resolution,[],[f192,f371]) ).
fof(f634,plain,
sdtpldt0(xm,sF24) = sdtpldt0(sF24,xm),
inference(resolution,[],[f624,f256]) ).
fof(f681,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF24) = sdtasdt0(sF24,X0) ),
inference(resolution,[],[f196,f371]) ).
fof(f835,plain,
( sz10 = xp
| sz00 = xp
| ~ sP0(xp)
| xp = sK8(xp)
| ~ aNaturalNumber0(sK8(xp))
| sz10 = sK8(xp) ),
inference(resolution,[],[f262,f278]) ).
fof(f838,plain,
( sz10 = xp
| sz00 = xp
| ~ sP0(xp)
| ~ aNaturalNumber0(sK8(xp))
| sz10 = sK8(xp) ),
inference(forward_subsumption_resolution,[],[f835,f266]) ).
fof(f840,plain,
( sz10 = xp
| sz00 = xp
| ~ sP0(xp)
| sz10 = sK8(xp) ),
inference(forward_subsumption_resolution,[],[f838,f265]) ).
fof(f842,plain,
( sz10 = xp
| sz00 = xp
| ~ sP0(xp) ),
inference(forward_subsumption_resolution,[],[f840,f267]) ).
fof(f844,plain,
( sz00 = xp
| ~ sP0(xp) ),
inference(forward_subsumption_resolution,[],[f842,f280]) ).
fof(f846,plain,
~ sP0(xp),
inference(forward_subsumption_resolution,[],[f844,f281]) ).
fof(f909,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
| iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(resolution,[],[f233,f341]) ).
fof(f931,plain,
( iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f909,f348]) ).
fof(f940,plain,
( iLess0(sdtpldt0(sdtpldt0(sF24,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_demodulation,[],[f931,f368]) ).
fof(f946,plain,
( iLess0(sdtpldt0(sdtpldt0(xm,sF24),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_demodulation,[],[f940,f634]) ).
fof(f948,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sF24,xm),xp))
| iLess0(sdtpldt0(sdtpldt0(xm,sF24),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_demodulation,[],[f946,f368]) ).
fof(f949,plain,
( iLess0(sdtpldt0(sdtpldt0(xm,sF24),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sF24),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_demodulation,[],[f948,f634]) ).
fof(f1347,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sK23) ),
inference(superposition,[],[f190,f342]) ).
fof(f1348,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
inference(forward_subsumption_resolution,[],[f1347,f343]) ).
fof(f1352,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sF24,xm),xp))
| aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_demodulation,[],[f1348,f368]) ).
fof(f1355,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sF24),xp))
| aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_demodulation,[],[f1352,f634]) ).
fof(f5142,plain,
sdtasdt0(sF24,xm) = sdtasdt0(xm,sF24),
inference(resolution,[],[f681,f256]) ).
fof(f5169,plain,
sdtasdt0(xp,sK22) = sdtasdt0(xm,sF24),
inference(forward_demodulation,[],[f5142,f579]) ).
fof(f6720,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sF24),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(sF24,xp)
| doDivides0(xp,xm)
| sP0(xp)
| ~ doDivides0(xp,sdtasdt0(xm,sF24))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sF24)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f949,f268]) ).
fof(f6721,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sF24),xp))
| sP1(sF24,xp)
| doDivides0(xp,xm)
| sP0(xp)
| ~ doDivides0(xp,sdtasdt0(xm,sF24))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sF24)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f6720,f1355]) ).
fof(f6724,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sF24),xp))
| sP1(sF24,xp)
| sP0(xp)
| ~ doDivides0(xp,sdtasdt0(xm,sF24))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sF24)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f6721,f349]) ).
fof(f6727,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sF24),xp))
| sP1(sF24,xp)
| ~ doDivides0(xp,sdtasdt0(xm,sF24))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sF24)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f6724,f846]) ).
fof(f6730,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sF24),xp))
| sP1(sF24,xp)
| ~ doDivides0(xp,sdtasdt0(xm,sF24))
| ~ aNaturalNumber0(sF24)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f6727,f256]) ).
fof(f6733,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sF24),xp))
| sP1(sF24,xp)
| ~ doDivides0(xp,sdtasdt0(xm,sF24))
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f6730,f371]) ).
fof(f6736,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sF24),xp))
| sP1(sF24,xp)
| ~ doDivides0(xp,sdtasdt0(xm,sF24)) ),
inference(forward_subsumption_resolution,[],[f6733,f255]) ).
fof(f6739,plain,
( ~ doDivides0(xp,sdtasdt0(xp,sK22))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sF24),xp))
| sP1(sF24,xp) ),
inference(forward_demodulation,[],[f6736,f5169]) ).
fof(f6742,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sF24),xp))
| sP1(sF24,xp) ),
inference(forward_subsumption_resolution,[],[f6739,f580]) ).
fof(f10116,plain,
( sP1(sF24,xp)
| ~ aNaturalNumber0(sdtpldt0(xm,sF24))
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f6742,f190]) ).
fof(f10117,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,sF24))
| sP1(sF24,xp) ),
inference(forward_subsumption_resolution,[],[f10116,f255]) ).
fof(f10178,plain,
( sP1(sF24,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sF24) ),
inference(resolution,[],[f10117,f190]) ).
fof(f10179,plain,
( sP1(sF24,xp)
| ~ aNaturalNumber0(sF24) ),
inference(forward_subsumption_resolution,[],[f10178,f256]) ).
fof(f10180,plain,
sP1(sF24,xp),
inference(forward_subsumption_resolution,[],[f10179,f371]) ).
fof(f10242,plain,
doDivides0(xp,sF24),
inference(resolution,[],[f10180,f258]) ).
fof(f10243,plain,
$false,
inference(forward_subsumption_resolution,[],[f10242,f370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM517+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 20:18:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 13.37/2.33 % (523206)Will run a generic schedule for satisfiability detection.
% 13.37/2.33 % (523217)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=126419804:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.37/2.33 % (523211)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2867473871_2999 on theBenchmark for (2999ds/0Mi)
% 13.37/2.33 % (523213)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=125219169:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.37/2.33 % (523214)dis+10_1_sil=32000:sp=arity:random_seed=2985240371:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.37/2.33 % (523215)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=94198595:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.37/2.33 % (523216)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1068637231:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.37/2.33 % (523212)% WARNING: option uhcvi not known.
% 13.37/2.33 % (523212)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2557783176:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.37/2.33 % Detected minimum model sizes of [4]
% 13.37/2.33 % Detected maximum model sizes of [max]
% 13.37/2.33 % TRYING [4]
% 13.37/2.33 % (523217)Instruction limit reached!
% 13.37/2.33 % (523217)------------------------------
% 13.37/2.33 % (523217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.33 % (523217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.33 % (523217)CaDiCaL version: 2.1.3
% 13.37/2.33 % (523217)Termination reason: Instruction limit
% 13.37/2.33 % (523217)Termination phase: Saturation
% 13.37/2.33 % (523217)Time elapsed: 0.049 s
% 13.37/2.33 % (523217)Peak memory usage: 13 MB
% 13.37/2.33 % (523217)Instructions burned: 162 (million)
% 13.37/2.33 % TRYING [5]
% 13.37/2.33 % (523225)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1556454159:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.37/2.33 % Detected minimum model sizes of [4]
% 13.37/2.33 % Detected maximum model sizes of [max]
% 13.37/2.33 % TRYING [4]
% 13.37/2.33 % (523215)Instruction limit reached!
% 13.37/2.33 % (523215)------------------------------
% 13.37/2.33 % (523215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.33 % (523215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.33 % (523215)CaDiCaL version: 2.1.3
% 13.37/2.33 % (523215)Termination reason: Instruction limit
% 13.37/2.33 % (523215)Termination phase: Saturation
% 13.37/2.33 % (523215)Time elapsed: 0.063 s
% 13.37/2.33 % (523215)Peak memory usage: 13 MB
% 13.37/2.33 % (523215)Instructions burned: 117 (million)
% 13.37/2.33 % (523214)Instruction limit reached!
% 13.37/2.33 % (523214)------------------------------
% 13.37/2.33 % (523214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.33 % (523214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.33 % (523214)CaDiCaL version: 2.1.3
% 13.37/2.33 % (523214)Termination reason: Instruction limit
% 13.37/2.33 % (523214)Termination phase: Saturation
% 13.37/2.33 % (523214)Time elapsed: 0.063 s
% 13.37/2.33 % (523214)Peak memory usage: 12 MB
% 13.37/2.33 % (523214)Instructions burned: 105 (million)
% 13.37/2.33 % (523216)Instruction limit reached!
% 13.37/2.33 % (523216)------------------------------
% 13.37/2.33 % (523216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.33 % (523216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.33 % (523216)CaDiCaL version: 2.1.3
% 13.37/2.33 % (523216)Termination reason: Instruction limit
% 13.37/2.33 % (523216)Termination phase: Saturation
% 13.37/2.33 % (523216)Time elapsed: 0.065 s
% 13.37/2.33 % (523216)Peak memory usage: 13 MB
% 13.37/2.33 % (523216)Instructions burned: 131 (million)
% 13.37/2.33 % TRYING [5]
% 13.37/2.33 % (523227)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4238328859:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.37/2.33 % (523228)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=2422019448:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 13.37/2.33 % (523229)ott-21_1_sil=16000:fs=off:random_seed=1854808058:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 13.37/2.33 % TRYING [6]
% 13.37/2.33 % (523227)Instruction limit reached!
% 13.37/2.33 % (523227)------------------------------
% 13.37/2.33 % (523227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523227)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523227)Termination reason: Instruction limit
% 30.65/5.01 % (523227)Termination phase: Saturation
% 30.65/5.01 % (523227)Time elapsed: 0.062 s
% 30.65/5.01 % (523227)Peak memory usage: 13 MB
% 30.65/5.01 % TRYING [6]
% 30.65/5.01 % (523227)Instructions burned: 133 (million)
% 30.65/5.01 % (523233)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1941786845:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 30.65/5.01 % (523229)Instruction limit reached!
% 30.65/5.01 % (523229)------------------------------
% 30.65/5.01 % (523229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523229)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523229)Termination reason: Instruction limit
% 30.65/5.01 % (523229)Termination phase: Saturation
% 30.65/5.01 % (523229)Time elapsed: 0.088 s
% 30.65/5.01 % (523229)Peak memory usage: 13 MB
% 30.65/5.01 % (523229)Instructions burned: 181 (million)
% 30.65/5.01 % (523225)Instruction limit reached!
% 30.65/5.01 % (523225)------------------------------
% 30.65/5.01 % (523225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523225)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523225)Termination reason: Instruction limit
% 30.65/5.01 % (523225)Termination phase: Finite model building constraint generation
% 30.65/5.01 % (523225)Time elapsed: 0.136 s
% 30.65/5.01 % (523225)Peak memory usage: 33 MB
% 30.65/5.01 % (523225)Instructions burned: 717 (million)
% 30.65/5.01 % (523235)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1335374972:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 30.65/5.01 % Detected minimum model sizes of [4]
% 30.65/5.01 % Detected maximum model sizes of [max]
% 30.65/5.01 % (523236)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1339861064:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 30.65/5.01 % TRYING [4]
% 30.65/5.01 % TRYING [5]
% 30.65/5.01 % TRYING [7]
% 30.65/5.01 % (523228)Instruction limit reached!
% 30.65/5.01 % (523228)------------------------------
% 30.65/5.01 % (523228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523228)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523228)Termination reason: Instruction limit
% 30.65/5.01 % (523228)Termination phase: Saturation
% 30.65/5.01 % (523228)Time elapsed: 0.377 s
% 30.65/5.01 % (523228)Peak memory usage: 19 MB
% 30.65/5.01 % (523228)Instructions burned: 684 (million)
% 30.65/5.01 % (523233)Instruction limit reached!
% 30.65/5.01 % (523233)------------------------------
% 30.65/5.01 % (523233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523233)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523233)Termination reason: Instruction limit
% 30.65/5.01 % (523233)Termination phase: Saturation
% 30.65/5.01 % (523233)Time elapsed: 0.299 s
% 30.65/5.01 % (523233)Peak memory usage: 15 MB
% 30.65/5.01 % (523233)Instructions burned: 479 (million)
% 30.65/5.01 % (523239)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1443357621:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 30.65/5.01 % (523240)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=1289692869:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 30.65/5.01 % (523235)Instruction limit reached!
% 30.65/5.01 % (523235)------------------------------
% 30.65/5.01 % (523235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523235)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523235)Termination reason: Instruction limit
% 30.65/5.01 % (523235)Termination phase: Finite model building SAT solving
% 30.65/5.01 % (523235)Time elapsed: 0.359 s
% 30.65/5.01 % (523235)Peak memory usage: 23 MB
% 30.65/5.01 % (523235)Instructions burned: 867 (million)
% 30.65/5.01 % (523236)Instruction limit reached!
% 30.65/5.01 % (523236)------------------------------
% 30.65/5.01 % (523236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523236)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523236)Termination reason: Instruction limit
% 30.65/5.01 % (523236)Termination phase: Saturation
% 30.65/5.01 % (523236)Time elapsed: 0.358 s
% 30.65/5.01 % (523236)Peak memory usage: 24 MB
% 30.65/5.01 % (523236)Instructions burned: 1182 (million)
% 30.65/5.01 % (523244)fmb+10_1_sil=64000:random_seed=3305100261:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 30.65/5.01 % (523243)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3365112946:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 30.65/5.01 % Detected minimum model sizes of [4]
% 30.65/5.01 % Detected maximum model sizes of [max]
% 30.65/5.01 % TRYING [4]
% 30.65/5.01 % TRYING [5]
% 30.65/5.01 % TRYING [14]
% 30.65/5.01 % TRYING [8]
% 30.65/5.01 % TRYING [6]
% 30.65/5.01 % (523239)Instruction limit reached!
% 30.65/5.01 % (523239)------------------------------
% 30.65/5.01 % (523239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523239)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523239)Termination reason: Instruction limit
% 30.65/5.01 % (523239)Termination phase: Finite model building constraint generation
% 30.65/5.01 % (523239)Time elapsed: 0.343 s
% 30.65/5.01 % (523239)Peak memory usage: 77 MB
% 30.65/5.01 % (523239)Instructions burned: 889 (million)
% 30.65/5.01 % (523247)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=809449225:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 30.65/5.01 % Detected minimum model sizes of [4]
% 30.65/5.01 % Detected maximum model sizes of [max]
% 30.65/5.01 % TRYING [20]
% 30.65/5.01 % (523240)Instruction limit reached!
% 30.65/5.01 % (523240)------------------------------
% 30.65/5.01 % (523240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523240)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523240)Termination reason: Instruction limit
% 30.65/5.01 % (523240)Termination phase: Saturation
% 30.65/5.01 % (523240)Time elapsed: 0.378 s
% 30.65/5.01 % (523240)Peak memory usage: 21 MB
% 30.65/5.01 % (523240)Instructions burned: 692 (million)
% 30.65/5.01 % (523249)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2461301878:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 30.65/5.01 % Detected minimum model sizes of [4]
% 30.65/5.01 % Detected maximum model sizes of [max]
% 30.65/5.01 % TRYING [8]
% 30.65/5.01 % (523243)Instruction limit reached!
% 30.65/5.01 % (523243)------------------------------
% 30.65/5.01 % (523243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523243)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523243)Termination reason: Instruction limit
% 30.65/5.01 % (523243)Termination phase: Saturation
% 30.65/5.01 % (523243)Time elapsed: 0.486 s
% 30.65/5.01 % (523243)Peak memory usage: 20 MB
% 30.65/5.01 % (523243)Instructions burned: 879 (million)
% 30.65/5.01 % (523251)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3220003575:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 30.65/5.01 % TRYING [7]
% 30.65/5.01 % (523249)Instruction limit reached!
% 30.65/5.01 % (523249)------------------------------
% 30.65/5.01 % (523249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523249)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523249)Termination reason: Instruction limit
% 30.65/5.01 % (523249)Termination phase: Finite model building constraint generation
% 30.65/5.01 % (523249)Time elapsed: 0.339 s
% 30.65/5.01 % (523249)Peak memory usage: 70 MB
% 30.65/5.01 % (523249)Instructions burned: 920 (million)
% 30.65/5.01 % (523253)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=581370120:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 30.65/5.01 % TRYING [9]
% 30.65/5.01 % (523253)Instruction limit reached!
% 30.65/5.01 % (523253)------------------------------
% 30.65/5.01 % (523253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523253)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523253)Termination reason: Instruction limit
% 30.65/5.01 % (523253)Termination phase: Saturation
% 30.65/5.01 % (523253)Time elapsed: 0.634 s
% 30.65/5.01 % (523253)Peak memory usage: 16 MB
% 30.65/5.01 % (523253)Instructions burned: 1472 (million)
% 30.65/5.01 % (523255)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2386665831:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 30.65/5.01 % Detected minimum model sizes of [4]
% 30.65/5.01 % Detected maximum model sizes of [max]
% 30.65/5.01 % TRYING [77]
% 30.65/5.01 % TRYING [8]
% 30.65/5.01 % TRYING [10]
% 30.65/5.01 % (523251)Instruction limit reached!
% 30.65/5.01 % (523251)------------------------------
% 30.65/5.01 % (523251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523251)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523251)Termination reason: Instruction limit
% 30.65/5.01 % (523251)Termination phase: Saturation
% 30.65/5.01 % (523251)Time elapsed: 2.662 s
% 30.65/5.01 % (523251)Peak memory usage: 39 MB
% 30.65/5.01 % (523251)Instructions burned: 5131 (million)
% 30.65/5.01 % (523257)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2279844942:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 30.65/5.01 % Detected minimum model sizes of [4]
% 30.65/5.01 % Detected maximum model sizes of [max]
% 30.65/5.01 % TRYING [16]
% 30.65/5.01 % TRYING [9]
% 30.65/5.01 % (523247)Instruction limit reached!
% 30.65/5.01 % (523247)------------------------------
% 30.65/5.01 % (523247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523247)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523247)Termination reason: Instruction limit
% 30.65/5.01 % (523247)Termination phase: Finite model building constraint generation
% 30.65/5.01 % (523247)Time elapsed: 3.277 s
% 30.65/5.01 % (523247)Peak memory usage: 577 MB
% 30.65/5.01 % (523247)Instructions burned: 9516 (million)
% 30.65/5.01 % (523255)Instruction limit reached!
% 30.65/5.01 % (523255)------------------------------
% 30.65/5.01 % (523255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523255)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523255)Termination reason: Instruction limit
% 30.65/5.01 % (523255)Termination phase: Finite model building constraint generation
% 30.65/5.01 % (523255)Time elapsed: 2.274 s
% 30.65/5.01 % (523255)Peak memory usage: 457 MB
% 30.65/5.01 % (523255)Instructions burned: 6324 (million)
% 30.65/5.01 % (523259)ott-2_1_sil=16000:newcnf=on:random_seed=4260105114:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 30.65/5.01 % (523261)ott+10_1_sil=32000:tgt=ground:random_seed=590739421:i=5114:av=off_2957 on theBenchmark for (2957ds/5114Mi)
% 30.65/5.01 % (523261) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-523206-523261"...
% 30.65/5.01 % (523261)...printing done.
% 30.65/5.01 % (523261)Refutation found. Thanks to Tanya!
% 30.65/5.01 % SZS status Theorem for theBenchmark
% 30.65/5.01 % SZS output start Proof for theBenchmark
% See solution above
% 30.65/5.01 % (523261)------------------------------
% 30.65/5.01 % (523261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.65/5.01 % (523261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.65/5.01 % (523261)CaDiCaL version: 2.1.3
% 30.65/5.01 % (523261)Termination reason: Refutation
% 30.65/5.01 % (523261)Time elapsed: 0.261 s
% 30.65/5.01 % (523261)Peak memory usage: 16 MB
% 30.65/5.01 % (523261)Instructions burned: 485 (million)
% 30.65/5.01 % (523206)Success in time 4.593 s
% 30.65/5.01 % Vampire exiting
%------------------------------------------------------------------------------