%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM506+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:24:35 PM UTC 2026
% Result : Theorem 25.37s 7.33s
% Output : Refutation 25.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 17
% Syntax : Number of formulae : 127 ( 23 unt; 2 def)
% Number of atoms : 673 ( 201 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 856 ( 310 ~; 334 |; 188 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 198 ( 154 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonAdd) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X0,X1)
& X1 != sz00 )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivLE) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__1799) ).
fof(f45,axiom,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f47,axiom,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2327) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(X0,X1) )
| doDivides0(X0,xr) ) )
=> ( X0 = sz10
| X0 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f49,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xk )
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X0) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).
fof(f50,axiom,
( xk != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xk,X0) = xp )
& sdtlseqdt0(xk,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2377) ).
fof(f51,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
| doDivides0(xr,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xr,X0) )
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f52,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
| doDivides0(xr,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xr,X0) )
| doDivides0(xr,xm) ),
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f55,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(f58,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = xr )
| doDivides0(X1,xr) ) )
=> ( sz10 = X1
| xr = X1 ) )
& isPrime0(xr) ),
inference(rectify,[],[f48]) ).
fof(f59,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xk )
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(rectify,[],[f49]) ).
fof(f60,plain,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
| doDivides0(xr,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
| doDivides0(xr,xm) ),
inference(rectify,[],[f52]) ).
fof(f61,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f62,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f61]) ).
fof(f78,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f79,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f78]) ).
fof(f91,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f92,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f94,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f93]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f97]) ).
fof(f105,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f106,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f105]) ).
fof(f117,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f118,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f117]) ).
fof(f125,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,[],[f55]) ).
fof(f126,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,[],[f125]) ).
fof(f132,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(ennf_transformation,[],[f58]) ).
fof(f133,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtasdt0(xr,X0) )
& ~ doDivides0(xr,xn)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xr,X1) )
& ~ doDivides0(xr,xm) ),
inference(ennf_transformation,[],[f60]) ).
fof(f135,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(f136,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(f137,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,[],[f126,f136,f135]) ).
fof(f153,plain,
! [X1,X2] :
( ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ sP1(X1,X2) ),
inference(nnf_transformation,[],[f136]) ).
fof(f154,plain,
! [X0,X1] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
& doDivides0(X1,X0) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f153]) ).
fof(f155,plain,
! [X0,X1] :
( ( aNaturalNumber0(sK6(X0,X1))
& sdtasdt0(X1,sK6(X0,X1)) = X0
& doDivides0(X1,X0) )
| ~ sP1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f154]) ).
fof(f156,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,[],[f135]) ).
fof(f157,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,[],[f156]) ).
fof(f158,plain,
! [X0] :
( ( ( sz00 = X0
| sz10 = X0
| ( sz10 != sK7(X0)
& sK7(X0) != X0
& aNaturalNumber0(sK7(X0))
& aNaturalNumber0(sK8(X0))
& sdtasdt0(sK7(X0),sK8(X0)) = X0
& doDivides0(sK7(X0),X0) ) )
& ~ isPrime0(X0) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X1,sK7(X0)),skolemize(X2,sK8(X0))],[f157]) ).
fof(f159,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,[],[f137]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ( aNaturalNumber0(sK9(X0,X2))
& sdtasdt0(X2,sK9(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,[sK9]),skolemize(X3,sK9(X0,X2))],[f159]) ).
fof(f163,plain,
( aNaturalNumber0(xr)
& aNaturalNumber0(sK13)
& xk = sdtasdt0(xr,sK13)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f133]) ).
fof(f164,plain,
( aNaturalNumber0(sK14)
& xk = sdtpldt0(xr,sK14)
& aNaturalNumber0(sK15)
& sdtasdt0(xn,xm) = sdtasdt0(xr,sK15)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X0,sK14),skolemize(X1,sK15)],[f59]) ).
fof(f165,plain,
( xk != xp
& aNaturalNumber0(sK16)
& xp = sdtpldt0(xk,sK16)
& sdtlseqdt0(xk,xp) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f50]) ).
fof(f169,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f184,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f197,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f203,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f212,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f222,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f234,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f235,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f236,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f237,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| doDivides0(X1,X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f241,plain,
! [X0] :
( doDivides0(sK7(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f244,plain,
! [X0] :
( aNaturalNumber0(sK7(X0))
| sz10 = X0
| sz00 = X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f245,plain,
! [X0] :
( sK7(X0) != X0
| sz10 = X0
| sz00 = X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f246,plain,
! [X0] :
( sz10 != sK7(X0)
| sz10 = X0
| sz00 = X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f248,plain,
! [X2,X0,X1,X4] :
( sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
| sP1(X1,X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP0(X2)
| ~ aNaturalNumber0(X4)
| doDivides0(X2,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f274,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f275,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f279,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f281,plain,
! [X1] :
( ~ doDivides0(X1,xr)
| xr = X1
| ~ aNaturalNumber0(X1)
| sz10 = X1 ),
inference(cnf_transformation,[],[f163]) ).
fof(f283,plain,
sz10 != xr,
inference(cnf_transformation,[],[f163]) ).
fof(f284,plain,
sz00 != xr,
inference(cnf_transformation,[],[f163]) ).
fof(f285,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f163]) ).
fof(f288,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f163]) ).
fof(f290,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK15),
inference(cnf_transformation,[],[f164]) ).
fof(f291,plain,
aNaturalNumber0(sK15),
inference(cnf_transformation,[],[f164]) ).
fof(f294,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f165]) ).
fof(f297,plain,
xp != xk,
inference(cnf_transformation,[],[f165]) ).
fof(f298,plain,
~ doDivides0(xr,xm),
inference(cnf_transformation,[],[f134]) ).
fof(f300,plain,
~ doDivides0(xr,xn),
inference(cnf_transformation,[],[f134]) ).
fof(f628,plain,
( sz10 = xr
| sz00 = xr
| ~ sP0(xr)
| xr = sK7(xr)
| ~ aNaturalNumber0(sK7(xr))
| sz10 = sK7(xr) ),
inference(resolution,[],[f241,f281]) ).
fof(f629,plain,
( sz10 = xr
| sz00 = xr
| ~ sP0(xr)
| ~ aNaturalNumber0(sK7(xr))
| sz10 = sK7(xr) ),
inference(forward_subsumption_resolution,[],[f628,f245]) ).
fof(f631,plain,
( sz10 = xr
| sz00 = xr
| ~ sP0(xr)
| sz10 = sK7(xr) ),
inference(forward_subsumption_resolution,[],[f629,f244]) ).
fof(f633,plain,
( sz10 = xr
| sz00 = xr
| ~ sP0(xr) ),
inference(forward_subsumption_resolution,[],[f631,f246]) ).
fof(f635,plain,
( sz00 = xr
| ~ sP0(xr) ),
inference(forward_subsumption_resolution,[],[f633,f283]) ).
fof(f637,plain,
~ sP0(xr),
inference(forward_subsumption_resolution,[],[f635,f284]) ).
fof(f651,plain,
( ~ sdtlseqdt0(xp,xk)
| xp = xk
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f197,f294]) ).
fof(f657,plain,
( ~ sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f651,f297]) ).
fof(f660,plain,
( ~ sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f657,f234]) ).
fof(f661,plain,
~ sdtlseqdt0(xp,xk),
inference(forward_subsumption_resolution,[],[f660,f275]) ).
fof(f687,plain,
( sdtlseqdt0(xr,xk)
| sz00 = xk
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f222,f285]) ).
fof(f698,plain,
( sdtlseqdt0(xr,xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f687,f279]) ).
fof(f702,plain,
( sdtlseqdt0(xr,xk)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f698,f288]) ).
fof(f705,plain,
sdtlseqdt0(xr,xk),
inference(forward_subsumption_resolution,[],[f702,f275]) ).
fof(f1104,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f198,f294]) ).
fof(f1131,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f1104,f275]) ).
fof(f1149,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xk)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1131,f234]) ).
fof(f2269,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(resolution,[],[f203,f212]) ).
fof(f2384,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f2269,f184]) ).
fof(f2445,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f2384,f169]) ).
fof(f2450,plain,
! [X2,X0,X1] :
( iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f2445,f169]) ).
fof(f3448,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(xn,xm)
| sP1(X1,xr)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP0(xr)
| ~ aNaturalNumber0(sK15)
| doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f248,f290]) ).
fof(f3451,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(xn,xm)
| sP1(X1,xr)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sK15)
| doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[],[f3448,f637]) ).
fof(f3473,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(xn,xm)
| sP1(X1,xr)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[],[f3451,f291]) ).
fof(f3495,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(xn,xm)
| sP1(X1,xr)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f3473,f288]) ).
fof(f3502,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(xp,xk)
| sP1(X1,xr)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_demodulation,[],[f3495,f274]) ).
fof(f8004,plain,
( sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xr) ),
inference(resolution,[],[f1149,f705]) ).
fof(f8016,plain,
sdtlseqdt0(xr,xp),
inference(forward_subsumption_resolution,[],[f8004,f288]) ).
fof(f51668,plain,
( sdtasdt0(xp,xk) != sdtasdt0(xp,xk)
| sP1(xm,xr)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(xr,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f3502,f274]) ).
fof(f51709,plain,
( sP1(xm,xr)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(xr,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(trivial_inequality_removal,[],[f51668]) ).
fof(f51724,plain,
( sP1(xm,xr)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f51709,f300]) ).
fof(f51764,plain,
( sP1(xm,xr)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f51724,f236]) ).
fof(f51795,plain,
( ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(xm,xr) ),
inference(forward_subsumption_resolution,[],[f51764,f235]) ).
fof(f69382,plain,
( sP1(xm,xr)
| xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(resolution,[],[f51795,f2450]) ).
fof(f69384,plain,
( sP1(xm,xr)
| xp = xr
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f69382,f8016]) ).
fof(f69385,plain,
( sP1(xm,xr)
| xp = xr
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f69384,f288]) ).
fof(f69386,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| xp = xr
| sP1(xm,xr) ),
inference(forward_subsumption_resolution,[],[f69385,f234]) ).
fof(f69387,plain,
( xp = xr
| sP1(xm,xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f69386,f169]) ).
fof(f69388,plain,
( xp = xr
| sP1(xm,xr)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f69387,f236]) ).
fof(f69389,plain,
( sP1(xm,xr)
| xp = xr ),
inference(forward_subsumption_resolution,[],[f69388,f235]) ).
fof(f69433,plain,
( xp = xr
| doDivides0(xr,xm) ),
inference(resolution,[],[f69389,f237]) ).
fof(f69447,plain,
xp = xr,
inference(forward_subsumption_resolution,[],[f69433,f298]) ).
fof(f69505,plain,
sdtlseqdt0(xp,xk),
inference(superposition,[],[f705,f69447]) ).
fof(f69559,plain,
$false,
inference(forward_subsumption_resolution,[],[f69505,f661]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM506+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n011.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 20:15:16 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.80/2.46 % (2732689)Will run a generic schedule for satisfiability detection.
% 13.80/2.46 % (2732698)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1383213337:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.80/2.46 % (2732695)% WARNING: option uhcvi not known.
% 13.80/2.46 % (2732696)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2089557036:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.80/2.46 % (2732694)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2219092994_2999 on theBenchmark for (2999ds/0Mi)
% 13.80/2.46 % (2732695)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3019006322:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.80/2.46 % (2732700)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2694306068:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.80/2.46 % (2732697)dis+10_1_sil=32000:sp=arity:random_seed=1527837323:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.80/2.46 % (2732699)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3498919116:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.80/2.46 % Detected minimum model sizes of [4]
% 13.80/2.46 % Detected maximum model sizes of [max]
% 13.80/2.46 % TRYING [4]
% 13.80/2.46 % (2732698)Instruction limit reached!
% 13.80/2.46 % (2732698)------------------------------
% 13.80/2.46 % (2732698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.80/2.46 % (2732698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/2.46 % (2732698)CaDiCaL version: 2.1.3
% 13.80/2.46 % (2732698)Termination reason: Instruction limit
% 13.80/2.46 % (2732698)Termination phase: Saturation
% 13.80/2.46 % (2732698)Time elapsed: 0.033 s
% 13.80/2.46 % (2732698)Peak memory usage: 13 MB
% 13.80/2.46 % (2732698)Instructions burned: 119 (million)
% 13.80/2.46 % (2732708)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=927897062:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.80/2.46 % Detected minimum model sizes of [4]
% 13.80/2.46 % Detected maximum model sizes of [max]
% 13.80/2.46 % TRYING [4]
% 13.80/2.46 % TRYING [5]
% 13.80/2.46 % (2732697)Instruction limit reached!
% 13.80/2.46 % (2732697)------------------------------
% 13.80/2.46 % (2732697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.80/2.46 % (2732697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/2.46 % (2732697)CaDiCaL version: 2.1.3
% 13.80/2.46 % (2732697)Termination reason: Instruction limit
% 13.80/2.46 % (2732697)Termination phase: Saturation
% 13.80/2.46 % (2732697)Time elapsed: 0.055 s
% 13.80/2.46 % (2732697)Peak memory usage: 12 MB
% 13.80/2.46 % (2732697)Instructions burned: 103 (million)
% 13.80/2.46 % TRYING [5]
% 13.80/2.46 % (2732710)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1207418921:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.80/2.46 % (2732700)Instruction limit reached!
% 13.80/2.46 % (2732700)------------------------------
% 13.80/2.46 % (2732700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.80/2.46 % (2732700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/2.46 % (2732700)CaDiCaL version: 2.1.3
% 13.80/2.46 % (2732700)Termination reason: Instruction limit
% 13.80/2.46 % (2732700)Termination phase: Saturation
% 13.80/2.46 % (2732700)Time elapsed: 0.093 s
% 13.80/2.46 % (2732700)Peak memory usage: 15 MB
% 13.80/2.46 % (2732700)Instructions burned: 159 (million)
% 13.80/2.46 % (2732699)Instruction limit reached!
% 13.80/2.46 % (2732699)------------------------------
% 13.80/2.46 % (2732699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.80/2.46 % (2732699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/2.46 % (2732699)CaDiCaL version: 2.1.3
% 13.80/2.46 % (2732699)Termination reason: Instruction limit
% 13.80/2.46 % (2732699)Termination phase: Saturation
% 13.80/2.46 % (2732699)Time elapsed: 0.093 s
% 13.80/2.46 % (2732699)Peak memory usage: 13 MB
% 13.80/2.46 % (2732699)Instructions burned: 133 (million)
% 13.80/2.46 % TRYING [6]
% 13.80/2.46 % (2732713)ott-21_1_sil=16000:fs=off:random_seed=2286457796:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.80/2.46 % (2732712)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=3202677128:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.80/2.46 % TRYING [6]
% 13.80/2.46 % (2732710)Instruction limit reached!
% 13.80/2.46 % (2732710)------------------------------
% 33.97/5.37 % (2732710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.97/5.37 % (2732710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.37 % (2732710)CaDiCaL version: 2.1.3
% 33.97/5.37 % (2732710)Termination reason: Instruction limit
% 33.97/5.37 % (2732710)Termination phase: Saturation
% 33.97/5.37 % (2732710)Time elapsed: 0.064 s
% 33.97/5.37 % (2732710)Peak memory usage: 12 MB
% 33.97/5.37 % (2732710)Instructions burned: 132 (million)
% 33.97/5.37 % (2732716)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3642045719:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 33.97/5.37 % (2732708)Instruction limit reached!
% 33.97/5.37 % (2732708)------------------------------
% 33.97/5.37 % (2732708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.97/5.37 % (2732708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.37 % (2732708)CaDiCaL version: 2.1.3
% 33.97/5.37 % (2732708)Termination reason: Instruction limit
% 33.97/5.37 % (2732708)Termination phase: Finite model building constraint generation
% 33.97/5.37 % (2732708)Time elapsed: 0.136 s
% 33.97/5.37 % (2732708)Peak memory usage: 32 MB
% 33.97/5.37 % (2732708)Instructions burned: 715 (million)
% 33.97/5.37 % (2732718)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=757828019:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.97/5.37 % Detected minimum model sizes of [4]
% 33.97/5.37 % Detected maximum model sizes of [max]
% 33.97/5.37 % TRYING [4]
% 33.97/5.37 % (2732713)Instruction limit reached!
% 33.97/5.37 % (2732713)------------------------------
% 33.97/5.37 % (2732713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.97/5.37 % (2732713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.37 % (2732713)CaDiCaL version: 2.1.3
% 33.97/5.37 % (2732713)Termination reason: Instruction limit
% 33.97/5.37 % (2732713)Termination phase: Saturation
% 33.97/5.37 % (2732713)Time elapsed: 0.093 s
% 33.97/5.37 % (2732713)Peak memory usage: 13 MB
% 33.97/5.37 % (2732713)Instructions burned: 180 (million)
% 33.97/5.37 % (2732720)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3257584107:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.97/5.37 % TRYING [5]
% 33.97/5.37 % TRYING [7]
% 33.97/5.37 % (2732718)Instruction limit reached!
% 33.97/5.37 % (2732718)------------------------------
% 33.97/5.37 % (2732718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.97/5.37 % (2732718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.37 % (2732718)CaDiCaL version: 2.1.3
% 33.97/5.37 % (2732718)Termination reason: Instruction limit
% 33.97/5.37 % (2732718)Termination phase: Finite model building SAT solving
% 33.97/5.37 % (2732718)Time elapsed: 0.189 s
% 33.97/5.37 % (2732718)Peak memory usage: 24 MB
% 33.97/5.37 % (2732718)Instructions burned: 870 (million)
% 33.97/5.37 % (2732722)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3018223390:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 33.97/5.37 % (2732716)Instruction limit reached!
% 33.97/5.37 % (2732716)------------------------------
% 33.97/5.37 % (2732716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.97/5.37 % (2732716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.37 % (2732716)CaDiCaL version: 2.1.3
% 33.97/5.37 % (2732716)Termination reason: Instruction limit
% 33.97/5.38 % (2732716)Termination phase: Saturation
% 33.97/5.38 % (2732716)Time elapsed: 0.287 s
% 33.97/5.38 % (2732716)Peak memory usage: 15 MB
% 33.97/5.38 % (2732716)Instructions burned: 477 (million)
% 33.97/5.38 % (2732724)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=2972607024: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)
% 33.97/5.38 % TRYING [14]
% 33.97/5.38 % (2732712)Instruction limit reached!
% 33.97/5.38 % (2732712)------------------------------
% 33.97/5.38 % (2732712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.97/5.38 % (2732712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.38 % (2732712)CaDiCaL version: 2.1.3
% 33.97/5.38 % (2732712)Termination reason: Instruction limit
% 33.97/5.38 % (2732712)Termination phase: Saturation
% 33.97/5.38 % (2732712)Time elapsed: 0.388 s
% 33.97/5.38 % (2732712)Peak memory usage: 21 MB
% 33.97/5.38 % (2732712)Instructions burned: 685 (million)
% 33.97/5.38 % (2732726)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=840029675:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 25.37/7.33 % (2732722)Instruction limit reached!
% 25.37/7.33 % (2732722)------------------------------
% 25.37/7.33 % (2732722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732722)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732722)Termination reason: Instruction limit
% 25.37/7.33 % (2732722)Termination phase: Finite model building constraint generation
% 25.37/7.33 % (2732722)Time elapsed: 0.187 s
% 25.37/7.33 % (2732722)Peak memory usage: 76 MB
% 25.37/7.33 % (2732722)Instructions burned: 890 (million)
% 25.37/7.33 % (2732728)fmb+10_1_sil=64000:random_seed=2811246563:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 25.37/7.33 % Detected minimum model sizes of [4]
% 25.37/7.33 % Detected maximum model sizes of [max]
% 25.37/7.33 % TRYING [4]
% 25.37/7.33 % TRYING [5]
% 25.37/7.33 % TRYING [8]
% 25.37/7.33 % TRYING [6]
% 25.37/7.33 % (2732724)Instruction limit reached!
% 25.37/7.33 % (2732724)------------------------------
% 25.37/7.33 % (2732724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732724)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732724)Termination reason: Instruction limit
% 25.37/7.33 % (2732724)Termination phase: Saturation
% 25.37/7.33 % (2732724)Time elapsed: 0.402 s
% 25.37/7.33 % (2732724)Peak memory usage: 23 MB
% 25.37/7.33 % (2732724)Instructions burned: 693 (million)
% 25.37/7.33 % (2732730)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3640142678:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 25.37/7.33 % (2732720)Instruction limit reached!
% 25.37/7.33 % (2732720)------------------------------
% 25.37/7.33 % (2732720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732720)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732720)Termination reason: Instruction limit
% 25.37/7.33 % (2732720)Termination phase: Saturation
% 25.37/7.33 % (2732720)Time elapsed: 0.674 s
% 25.37/7.33 % (2732720)Peak memory usage: 24 MB
% 25.37/7.33 % (2732720)Instructions burned: 1179 (million)
% 25.37/7.33 % Detected minimum model sizes of [4]
% 25.37/7.33 % Detected maximum model sizes of [max]
% 25.37/7.33 % TRYING [20]
% 25.37/7.33 % (2732732)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3650300351:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 25.37/7.33 % Detected minimum model sizes of [4]
% 25.37/7.33 % Detected maximum model sizes of [max]
% 25.37/7.33 % TRYING [8]
% 25.37/7.33 % (2732726)Instruction limit reached!
% 25.37/7.33 % (2732726)------------------------------
% 25.37/7.33 % (2732726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732726)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732726)Termination reason: Instruction limit
% 25.37/7.33 % (2732726)Termination phase: Saturation
% 25.37/7.33 % (2732726)Time elapsed: 0.485 s
% 25.37/7.33 % (2732726)Peak memory usage: 20 MB
% 25.37/7.33 % (2732726)Instructions burned: 880 (million)
% 25.37/7.33 % (2732734)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3426276469:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 25.37/7.33 % TRYING [7]
% 25.37/7.33 % (2732732)Instruction limit reached!
% 25.37/7.33 % (2732732)------------------------------
% 25.37/7.33 % (2732732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732732)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732732)Termination reason: Instruction limit
% 25.37/7.33 % (2732732)Termination phase: Finite model building constraint generation
% 25.37/7.33 % (2732732)Time elapsed: 0.339 s
% 25.37/7.33 % (2732732)Peak memory usage: 69 MB
% 25.37/7.33 % (2732732)Instructions burned: 922 (million)
% 25.37/7.33 % (2732736)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1732137331:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 25.37/7.33 % TRYING [9]
% 25.37/7.33 % (2732736)Instruction limit reached!
% 25.37/7.33 % (2732736)------------------------------
% 25.37/7.33 % (2732736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732736)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732736)Termination reason: Instruction limit
% 25.37/7.33 % (2732736)Termination phase: Saturation
% 25.37/7.33 % (2732736)Time elapsed: 0.683 s
% 25.37/7.33 % (2732736)Peak memory usage: 18 MB
% 25.37/7.33 % (2732736)Instructions burned: 1474 (million)
% 25.37/7.33 % TRYING [8]
% 25.37/7.33 % (2732738)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2100429132:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 25.37/7.33 % Detected minimum model sizes of [4]
% 25.37/7.33 % Detected maximum model sizes of [max]
% 25.37/7.33 % TRYING [77]
% 25.37/7.33 % TRYING [10]
% 25.37/7.33 % (2732734)Instruction limit reached!
% 25.37/7.33 % (2732734)------------------------------
% 25.37/7.33 % (2732734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732734)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732734)Termination reason: Instruction limit
% 25.37/7.33 % (2732734)Termination phase: Saturation
% 25.37/7.33 % (2732734)Time elapsed: 2.690 s
% 25.37/7.33 % (2732734)Peak memory usage: 40 MB
% 25.37/7.33 % (2732734)Instructions burned: 5131 (million)
% 25.37/7.33 % (2732740)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=652945117:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 25.37/7.33 % Detected minimum model sizes of [4]
% 25.37/7.33 % Detected maximum model sizes of [max]
% 25.37/7.33 % TRYING [16]
% 25.37/7.33 % TRYING [9]
% 25.37/7.33 % (2732730)Instruction limit reached!
% 25.37/7.33 % (2732730)------------------------------
% 25.37/7.33 % (2732730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732730)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732730)Termination reason: Instruction limit
% 25.37/7.33 % (2732730)Termination phase: Finite model building constraint generation
% 25.37/7.33 % (2732730)Time elapsed: 3.277 s
% 25.37/7.33 % (2732730)Peak memory usage: 577 MB
% 25.37/7.33 % (2732730)Instructions burned: 9517 (million)
% 25.37/7.33 % (2732742)ott-2_1_sil=16000:newcnf=on:random_seed=4017464609:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 25.37/7.33 % (2732738)Instruction limit reached!
% 25.37/7.33 % (2732738)------------------------------
% 25.37/7.33 % (2732738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732738)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732738)Termination reason: Instruction limit
% 25.37/7.33 % (2732738)Termination phase: Finite model building constraint generation
% 25.37/7.33 % (2732738)Time elapsed: 2.382 s
% 25.37/7.33 % (2732738)Peak memory usage: 523 MB
% 25.37/7.33 % (2732738)Instructions burned: 6325 (million)
% 25.37/7.33 % (2732744)ott+10_1_sil=32000:tgt=ground:random_seed=2326212119:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 25.37/7.33 % (2732740)Instruction limit reached!
% 25.37/7.33 % (2732740)------------------------------
% 25.37/7.33 % (2732740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732740)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732740)Termination reason: Instruction limit
% 25.37/7.33 % (2732740)Termination phase: Finite model building constraint generation
% 25.37/7.33 % (2732740)Time elapsed: 0.767 s
% 25.37/7.33 % (2732740)Peak memory usage: 146 MB
% 25.37/7.33 % (2732740)Instructions burned: 2177 (million)
% 25.37/7.33 % (2732746)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2886978943:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 25.37/7.33 % Detected minimum model sizes of [4]
% 25.37/7.33 % Detected maximum model sizes of [max]
% 25.37/7.33 % TRYING [4]
% 25.37/7.33 % TRYING [5]
% 25.37/7.33 % TRYING [6]
% 25.37/7.33 % (2732742)Instruction limit reached!
% 25.37/7.33 % (2732742)------------------------------
% 25.37/7.33 % (2732742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732742)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732742)Termination reason: Instruction limit
% 25.37/7.33 % (2732742)Termination phase: Saturation
% 25.37/7.33 % (2732742)Time elapsed: 0.453 s
% 25.37/7.33 % (2732742)Peak memory usage: 24 MB
% 25.37/7.33 % (2732742)Instructions burned: 870 (million)
% 25.37/7.33 % (2732748)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1273932450:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 25.37/7.33 % TRYING [7]
% 25.37/7.33 % (2732728)Instruction limit reached!
% 25.37/7.33 % (2732728)------------------------------
% 25.37/7.33 % (2732728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732728)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732728)Termination reason: Instruction limit
% 25.37/7.33 % (2732728)Termination phase: Finite model building SAT solving
% 25.37/7.33 % (2732728)Time elapsed: 4.702 s
% 25.37/7.33 % (2732728)Peak memory usage: 162 MB
% 25.37/7.33 % (2732728)Instructions burned: 22066 (million)
% 25.37/7.33 % (2732750)dis+21_1_sil=32000:sas=cadical:random_seed=521941353:i=3773:amm=off_2946 on theBenchmark for (2946ds/3773Mi)
% 25.37/7.33 % TRYING [8]
% 25.37/7.33 % TRYING [11]
% 25.37/7.33 % TRYING [9]
% 25.37/7.33 % (2732750)Instruction limit reached!
% 25.37/7.33 % (2732750)------------------------------
% 25.37/7.33 % (2732750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732750)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732750)Termination reason: Instruction limit
% 25.37/7.33 % (2732750)Termination phase: Saturation
% 25.37/7.33 % (2732750)Time elapsed: 1.067 s
% 25.37/7.33 % (2732750)Peak memory usage: 44 MB
% 25.37/7.33 % (2732750)Instructions burned: 3776 (million)
% 25.37/7.33 % (2732754)ott+11_1_sil=16000:gs=on:random_seed=673396666:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2935 on theBenchmark for (2935ds/2251Mi)
% 25.37/7.33 % (2732748)Instruction limit reached!
% 25.37/7.33 % (2732748)------------------------------
% 25.37/7.33 % (2732748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732748)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732748)Termination reason: Instruction limit
% 25.37/7.33 % (2732748)Termination phase: Saturation
% 25.37/7.33 % (2732748)Time elapsed: 1.914 s
% 25.37/7.33 % (2732748)Peak memory usage: 35 MB
% 25.37/7.33 % (2732748)Instructions burned: 3513 (million)
% 25.37/7.33 % (2732756)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3853811333:fmbsr=1.6:i=67534_2933 on theBenchmark for (2933ds/67534Mi)
% 25.37/7.33 % Detected minimum model sizes of [4]
% 25.37/7.33 % Detected maximum model sizes of [max]
% 25.37/7.33 % TRYING [7]
% 25.37/7.33 % (2732744) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2732689-2732744"...
% 25.37/7.33 % (2732744)...printing done.
% 25.37/7.33 % (2732744)Refutation found. Thanks to Tanya!
% 25.37/7.33 % SZS status Theorem for theBenchmark
% 25.37/7.33 % SZS output start Proof for theBenchmark
% See solution above
% 25.37/7.33 % (2732744)------------------------------
% 25.37/7.33 % (2732744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.33 % (2732744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.33 % (2732744)CaDiCaL version: 2.1.3
% 25.37/7.33 % (2732744)Termination reason: Refutation
% 25.37/7.33 % (2732744)Time elapsed: 2.341 s
% 25.37/7.33 % (2732744)Peak memory usage: 40 MB
% 25.37/7.33 % (2732744)Instructions burned: 4230 (million)
% 25.37/7.33 % (2732689)Success in time 6.89 s
% 25.37/7.33 % Vampire exiting
%------------------------------------------------------------------------------