%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM512+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:31 PM UTC 2026
% Result : Theorem 6.36s 1.95s
% Output : Refutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 21
% Syntax : Number of formulae : 146 ( 38 unt; 10 def)
% Number of atoms : 469 ( 177 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 508 ( 185 ~; 179 |; 122 &)
% ( 8 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 64 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
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(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(f52,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
& doDivides0(xr,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(f53,axiom,
( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtsldt0(xn,xr) = xn )
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2504) ).
fof(f54,conjecture,
( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm) )
& ( ( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)) )
=> sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f55,negated_conjecture,
~ ( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm) )
& ( ( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)) )
=> sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ) ),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f61,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(f62,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(f66,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f67,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f66]) ).
fof(f73,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f74,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f73]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f113,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f112]) ).
fof(f122,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f123,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f122]) ).
fof(f135,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,[],[f61]) ).
fof(f136,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,[],[f135]) ).
fof(f137,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(ennf_transformation,[],[f53]) ).
fof(f138,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
( ( sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
| ( sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f140,plain,
( ( sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
| ( sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)) ) ),
inference(flattening,[],[f139]) ).
fof(f146,definition,
( ( sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f147,plain,
( ( sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
| sP3 ),
inference(definition_folding,[],[f140,f146]) ).
fof(f156,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f113]) ).
fof(f157,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f156]) ).
fof(f173,plain,
( aNaturalNumber0(xr)
& aNaturalNumber0(sK15)
& xk = sdtasdt0(xr,sK15)
& 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,[sK15]),skolemize(X0,sK15)],[f136]) ).
fof(f174,plain,
( aNaturalNumber0(sK16)
& xk = sdtpldt0(xr,sK16)
& aNaturalNumber0(sK17)
& sdtasdt0(xn,xm) = sdtasdt0(xr,sK17)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X0,sK16),skolemize(X1,sK17)],[f62]) ).
fof(f180,plain,
( aNaturalNumber0(sK21)
& xn = sdtasdt0(xr,sK21)
& doDivides0(xr,xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X0,sK21)],[f52]) ).
fof(f181,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sK22)
& xn = sdtpldt0(sdtsldt0(xn,xr),sK22)
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X0,sK22)],[f138]) ).
fof(f182,plain,
( ( sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f146]) ).
fof(f187,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f192,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f235,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f251,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f252,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f253,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f291,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f292,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f301,plain,
sz00 != xr,
inference(cnf_transformation,[],[f173]) ).
fof(f305,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f173]) ).
fof(f306,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f174]) ).
fof(f307,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK17),
inference(cnf_transformation,[],[f174]) ).
fof(f308,plain,
aNaturalNumber0(sK17),
inference(cnf_transformation,[],[f174]) ).
fof(f321,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f180]) ).
fof(f328,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f181]) ).
fof(f334,plain,
( sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
| ~ sP3 ),
inference(cnf_transformation,[],[f182]) ).
fof(f337,plain,
( sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)
| sP3 ),
inference(cnf_transformation,[],[f147]) ).
fof(f345,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f235]) ).
fof(f350,definition,
sF23 = sdtasdt0(xn,xm),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f351,plain,
sdtasdt0(xn,xm) = sF23,
inference(reorient_equations,[],[f350]) ).
fof(f352,definition,
sF24 = sdtsldt0(xn,xr),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f353,plain,
sdtsldt0(xn,xr) = sF24,
inference(reorient_equations,[],[f352]) ).
fof(f354,definition,
sF25 = sdtasdt0(sF24,xm),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f355,plain,
sdtasdt0(sF24,xm) = sF25,
inference(reorient_equations,[],[f354]) ).
fof(f356,definition,
sF26 = sdtasdt0(sF25,xr),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f357,plain,
sdtasdt0(sF25,xr) = sF26,
inference(reorient_equations,[],[f356]) ).
fof(f358,plain,
( sF23 != sF26
| sP3 ),
inference(definition_folding,[],[f337,f357,f355,f353,f351]) ).
fof(f365,definition,
( spl28_1
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f374,definition,
( spl28_3
<=> aNaturalNumber0(sF24) ),
introduced(definition,[new_symbols(definition,[spl28_3])],[avatar_definition]) ).
fof(f375,plain,
( ~ aNaturalNumber0(sF24)
| spl28_3 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f376,plain,
( aNaturalNumber0(sF24)
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f379,definition,
( spl28_4
<=> sF23 = sF26 ),
introduced(definition,[new_symbols(definition,[spl28_4])],[avatar_definition]) ).
fof(f380,plain,
( sF23 = sF26
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f381,plain,
( sF23 != sF26
| spl28_4 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f382,plain,
( spl28_1
| ~ spl28_4 ),
inference(avatar_split_clause,[],[f358,f379,f365]) ).
fof(f394,definition,
( spl28_7
<=> sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ),
introduced(definition,[new_symbols(definition,[spl28_7])],[avatar_definition]) ).
fof(f396,plain,
( sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
| spl28_7 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f397,plain,
( ~ spl28_1
| ~ spl28_7 ),
inference(avatar_split_clause,[],[f334,f394,f365]) ).
fof(f449,plain,
sdtasdt0(xp,xk) = sF23,
inference(forward_demodulation,[],[f351,f291]) ).
fof(f450,plain,
aNaturalNumber0(sF24),
inference(superposition,[],[f328,f353]) ).
fof(f452,plain,
( aNaturalNumber0(sF23)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[],[f187,f449]) ).
fof(f454,plain,
( aNaturalNumber0(sF25)
| ~ aNaturalNumber0(sF24)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f187,f355]) ).
fof(f457,plain,
( aNaturalNumber0(sF25)
| ~ aNaturalNumber0(xm)
| ~ spl28_3 ),
inference(forward_subsumption_resolution,[],[f454,f376]) ).
fof(f459,plain,
( aNaturalNumber0(sF23)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f452,f251]) ).
fof(f462,definition,
( spl28_18
<=> aNaturalNumber0(sF25) ),
introduced(definition,[new_symbols(definition,[spl28_18])],[avatar_definition]) ).
fof(f463,plain,
( aNaturalNumber0(sF25)
| ~ spl28_18 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f470,plain,
( aNaturalNumber0(sF25)
| ~ spl28_3 ),
inference(forward_subsumption_resolution,[],[f457,f252]) ).
fof(f472,plain,
aNaturalNumber0(sF23),
inference(forward_subsumption_resolution,[],[f459,f292]) ).
fof(f474,plain,
( spl28_18
| ~ spl28_3 ),
inference(avatar_split_clause,[],[f470,f374,f462]) ).
fof(f485,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[],[f192,f253]) ).
fof(f486,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xr,X0) = sdtasdt0(X0,xr) ),
inference(resolution,[],[f192,f305]) ).
fof(f488,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF24) = sdtasdt0(sF24,X0) )
| ~ spl28_3 ),
inference(resolution,[],[f192,f376]) ).
fof(f501,plain,
( sdtasdt0(sF24,xm) = sdtasdt0(xm,sF24)
| ~ spl28_3 ),
inference(resolution,[],[f252,f488]) ).
fof(f503,plain,
( sF25 = sdtasdt0(xm,sF24)
| ~ spl28_3 ),
inference(forward_demodulation,[],[f501,f355]) ).
fof(f523,plain,
( sdtasdt0(sF25,xr) = sdtasdt0(xr,sF25)
| ~ spl28_18 ),
inference(resolution,[],[f486,f463]) ).
fof(f525,plain,
( sF26 = sdtasdt0(xr,sF25)
| ~ spl28_18 ),
inference(forward_demodulation,[],[f523,f357]) ).
fof(f536,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[],[f485,f252]) ).
fof(f543,plain,
sdtasdt0(xp,xk) = sdtasdt0(xm,xn),
inference(forward_demodulation,[],[f536,f291]) ).
fof(f545,plain,
sF23 = sdtasdt0(xm,xn),
inference(forward_demodulation,[],[f543,f449]) ).
fof(f556,plain,
( ~ doDivides0(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK17)
| sz00 = xr
| sK17 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f345,f307]) ).
fof(f569,plain,
( ~ aNaturalNumber0(sK17)
| sz00 = xr
| sK17 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f556,f306]) ).
fof(f580,plain,
( sz00 = xr
| sK17 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f569,f308]) ).
fof(f607,plain,
( sK17 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f580,f301]) ).
fof(f645,plain,
( sK17 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f607,f305]) ).
fof(f680,plain,
( sdtsldt0(sdtasdt0(xp,xk),xr) = sK17
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_demodulation,[],[f645,f291]) ).
fof(f692,plain,
( sK17 = sdtsldt0(sF23,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_demodulation,[],[f680,f449]) ).
fof(f694,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xk))
| sK17 = sdtsldt0(sF23,xr) ),
inference(forward_demodulation,[],[f692,f291]) ).
fof(f708,plain,
( ~ aNaturalNumber0(sF23)
| sK17 = sdtsldt0(sF23,xr) ),
inference(forward_demodulation,[],[f694,f449]) ).
fof(f709,plain,
sK17 = sdtsldt0(sF23,xr),
inference(forward_subsumption_resolution,[],[f708,f472]) ).
fof(f710,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xr
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f321,f240]) ).
fof(f711,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f710,f301]) ).
fof(f712,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f711,f305]) ).
fof(f713,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) ),
inference(forward_subsumption_resolution,[],[f712,f253]) ).
fof(f714,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF24) = sdtsldt0(sdtasdt0(X0,xn),xr) ),
inference(forward_demodulation,[],[f713,f353]) ).
fof(f719,plain,
sdtasdt0(xm,sF24) = sdtsldt0(sdtasdt0(xm,xn),xr),
inference(resolution,[],[f714,f252]) ).
fof(f730,plain,
sdtasdt0(xm,sF24) = sdtsldt0(sF23,xr),
inference(forward_demodulation,[],[f719,f545]) ).
fof(f735,plain,
sK17 = sdtasdt0(xm,sF24),
inference(forward_demodulation,[],[f730,f709]) ).
fof(f738,plain,
( sK17 = sF25
| ~ spl28_3 ),
inference(forward_demodulation,[],[f735,f503]) ).
fof(f739,plain,
( sdtasdt0(xr,sK17) = sF26
| ~ spl28_3
| ~ spl28_18 ),
inference(superposition,[],[f525,f738]) ).
fof(f741,plain,
( sF26 = sdtasdt0(sK17,xr)
| ~ spl28_3 ),
inference(superposition,[],[f357,f738]) ).
fof(f742,plain,
( sdtasdt0(xn,xm) = sF26
| ~ spl28_3
| ~ spl28_18 ),
inference(forward_demodulation,[],[f739,f307]) ).
fof(f743,plain,
( sdtasdt0(xp,xk) = sF26
| ~ spl28_3
| ~ spl28_18 ),
inference(forward_demodulation,[],[f742,f291]) ).
fof(f744,plain,
( sF23 = sF26
| ~ spl28_3
| ~ spl28_18 ),
inference(forward_demodulation,[],[f743,f449]) ).
fof(f745,plain,
( $false
| ~ spl28_3
| spl28_4
| ~ spl28_18 ),
inference(forward_subsumption_resolution,[],[f744,f381]) ).
fof(f746,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_18 ),
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f749,plain,
( sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sF23,xr),xr)
| spl28_7 ),
inference(forward_demodulation,[],[f396,f449]) ).
fof(f752,plain,
( sdtasdt0(xn,xm) != sdtasdt0(sK17,xr)
| spl28_7 ),
inference(forward_demodulation,[],[f749,f709]) ).
fof(f754,plain,
( sdtasdt0(xn,xm) != sF26
| ~ spl28_3
| spl28_7 ),
inference(forward_demodulation,[],[f752,f741]) ).
fof(f756,plain,
( sdtasdt0(xn,xm) != sF23
| ~ spl28_3
| ~ spl28_4
| spl28_7 ),
inference(forward_demodulation,[],[f754,f380]) ).
fof(f757,plain,
( sdtasdt0(xp,xk) != sF23
| ~ spl28_3
| ~ spl28_4
| spl28_7 ),
inference(forward_demodulation,[],[f756,f291]) ).
fof(f758,plain,
( $false
| ~ spl28_3
| ~ spl28_4
| spl28_7 ),
inference(forward_subsumption_resolution,[],[f757,f449]) ).
fof(f759,plain,
( ~ spl28_3
| ~ spl28_4
| spl28_7 ),
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f760,plain,
( $false
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f450,f375]) ).
fof(f761,plain,
spl28_3,
inference(avatar_contradiction_clause,[],[f760]) ).
cnf(s3,plain,
( spl28_1
| ~ spl28_4 ),
inference(sat_conversion,[],[f382]) ).
cnf(s6,plain,
( ~ spl28_1
| ~ spl28_7 ),
inference(sat_conversion,[],[f397]) ).
cnf(s17,plain,
( ~ spl28_3
| spl28_18 ),
inference(sat_conversion,[],[f474]) ).
cnf(s27,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_18 ),
inference(sat_conversion,[],[f746]) ).
cnf(s28,plain,
( ~ spl28_3
| ~ spl28_4
| spl28_7 ),
inference(sat_conversion,[],[f759]) ).
cnf(s29,plain,
spl28_3,
inference(sat_conversion,[],[f761]) ).
cnf(s30,plain,
( ~ spl28_4
| spl28_7 ),
inference(rat,[],[s28,s29]) ).
cnf(s31,plain,
( spl28_4
| ~ spl28_18 ),
inference(rat,[],[s27,s29]) ).
cnf(s36,plain,
spl28_18,
inference(rat,[],[s17,s29]) ).
cnf(s37,plain,
spl28_4,
inference(rat,[],[s31,s36]) ).
cnf(s38,plain,
spl28_7,
inference(rat,[],[s30,s37]) ).
cnf(s42,plain,
~ spl28_1,
inference(rat,[],[s6,s38]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s3,s37,s42]) ).
fof(f768,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM512+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 20:22:31 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.36/1.95 % (3925615)Detected formulas, will run a generic FOF schedule.
% 6.36/1.95 % (3925625)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3222333391:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.36/1.95 % (3925623)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1394152664:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.36/1.95 % (3925621)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1862887488:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.36/1.95 % (3925622)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1162099415:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.36/1.95 % (3925624)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3832015792:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.36/1.95 % (3925620)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4008178726:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.36/1.95 % (3925625)Instruction limit reached!
% 6.36/1.95 % (3925625)------------------------------
% 6.36/1.95 % (3925625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925625)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925625)Termination reason: Instruction limit
% 6.36/1.95 % (3925625)Termination phase: Saturation
% 6.36/1.95 % (3925625)Time elapsed: 0.050 s
% 6.36/1.95 % (3925625)Peak memory usage: 90 MB
% 6.36/1.95 % (3925625)Instructions burned: 142 (million)
% 6.36/1.95 % (3925626)dis-21_1_sil=8000:lcm=predicate:random_seed=2828707172:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.36/1.95 % (3925623)Instruction limit reached!
% 6.36/1.95 % (3925623)------------------------------
% 6.36/1.95 % (3925623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925623)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925623)Termination reason: Instruction limit
% 6.36/1.95 % (3925623)Termination phase: Saturation
% 6.36/1.95 % (3925623)Time elapsed: 0.064 s
% 6.36/1.95 % (3925623)Peak memory usage: 89 MB
% 6.36/1.95 % (3925623)Instructions burned: 109 (million)
% 6.36/1.95 % (3925624)Instruction limit reached!
% 6.36/1.95 % (3925624)------------------------------
% 6.36/1.95 % (3925624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925624)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925624)Termination reason: Instruction limit
% 6.36/1.95 % (3925624)Termination phase: Saturation
% 6.36/1.95 % (3925624)Time elapsed: 0.067 s
% 6.36/1.95 % (3925624)Peak memory usage: 88 MB
% 6.36/1.95 % (3925624)Instructions burned: 119 (million)
% 6.36/1.95 % (3925626)Instruction limit reached!
% 6.36/1.95 % (3925626)------------------------------
% 6.36/1.95 % (3925626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925626)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925626)Termination reason: Instruction limit
% 6.36/1.95 % (3925626)Termination phase: Saturation
% 6.36/1.95 % (3925626)Time elapsed: 0.080 s
% 6.36/1.95 % (3925626)Peak memory usage: 91 MB
% 6.36/1.95 % (3925626)Instructions burned: 130 (million)
% 6.36/1.95 % (3925633)lrs+10_1_sil=8000:sp=occurrence:random_seed=3371839430:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.36/1.95 % (3925636)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3570556342:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.36/1.95 % (3925635)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3630344122:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.36/1.95 % (3925633)Instruction limit reached!
% 6.36/1.95 % (3925633)------------------------------
% 6.36/1.95 % (3925633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925633)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925633)Termination reason: Instruction limit
% 6.36/1.95 % (3925633)Termination phase: Saturation
% 6.36/1.95 % (3925633)Time elapsed: 0.087 s
% 6.36/1.95 % (3925633)Peak memory usage: 92 MB
% 6.36/1.95 % (3925633)Instructions burned: 287 (million)
% 6.36/1.95 % (3925637)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2404287439:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.36/1.95 % (3925635)Instruction limit reached!
% 6.36/1.95 % (3925635)------------------------------
% 6.36/1.95 % (3925635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925635)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925635)Termination reason: Instruction limit
% 6.36/1.95 % (3925635)Termination phase: Saturation
% 6.36/1.95 % (3925635)Time elapsed: 0.076 s
% 6.36/1.95 % (3925635)Peak memory usage: 94 MB
% 6.36/1.95 % (3925635)Instructions burned: 158 (million)
% 6.36/1.95 % (3925641)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2883202773:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.36/1.95 % (3925637)Instruction limit reached!
% 6.36/1.95 % (3925637)------------------------------
% 6.36/1.95 % (3925637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925637)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925637)Termination reason: Instruction limit
% 6.36/1.95 % (3925637)Termination phase: Saturation
% 6.36/1.95 % (3925637)Time elapsed: 0.114 s
% 6.36/1.95 % (3925637)Peak memory usage: 95 MB
% 6.36/1.95 % (3925637)Instructions burned: 250 (million)
% 6.36/1.95 % (3925636)Instruction limit reached!
% 6.36/1.95 % (3925636)------------------------------
% 6.36/1.95 % (3925636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925636)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925636)Termination reason: Instruction limit
% 6.36/1.95 % (3925636)Termination phase: Saturation
% 6.36/1.95 % (3925636)Time elapsed: 0.198 s
% 6.36/1.95 % (3925636)Peak memory usage: 91 MB
% 6.36/1.95 % (3925636)Instructions burned: 326 (million)
% 6.36/1.95 % (3925641)Instruction limit reached!
% 6.36/1.95 % (3925641)------------------------------
% 6.36/1.95 % (3925641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925641)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925641)Termination reason: Instruction limit
% 6.36/1.95 % (3925641)Termination phase: Saturation
% 6.36/1.95 % (3925641)Time elapsed: 0.087 s
% 6.36/1.95 % (3925641)Peak memory usage: 90 MB
% 6.36/1.95 % (3925641)Instructions burned: 297 (million)
% 6.36/1.95 % (3925643)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1284124319:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.36/1.95 % (3925645)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1760802873:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.36/1.95 % (3925647)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1022398952:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.36/1.95 % (3925646)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3007611754:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.36/1.95 % (3925647)Instruction limit reached!
% 6.36/1.95 % (3925647)------------------------------
% 6.36/1.95 % (3925647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925647)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925647)Termination reason: Instruction limit
% 6.36/1.95 % (3925647)Termination phase: Saturation
% 6.36/1.95 % (3925647)Time elapsed: 0.032 s
% 6.36/1.95 % (3925647)Peak memory usage: 89 MB
% 6.36/1.95 % (3925647)Instructions burned: 116 (million)
% 6.36/1.95 % (3925645)Instruction limit reached!
% 6.36/1.95 % (3925645)------------------------------
% 6.36/1.95 % (3925645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925645)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925645)Termination reason: Instruction limit
% 6.36/1.95 % (3925645)Termination phase: Saturation
% 6.36/1.95 % (3925645)Time elapsed: 0.069 s
% 6.36/1.95 % (3925645)Peak memory usage: 91 MB
% 6.36/1.95 % (3925645)Instructions burned: 114 (million)
% 6.36/1.95 % (3925646)Instruction limit reached!
% 6.36/1.95 % (3925646)------------------------------
% 6.36/1.95 % (3925646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.95 % (3925646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.95 % (3925646)CaDiCaL version: 2.1.3
% 6.36/1.95 % (3925646)Termination reason: Instruction limit
% 6.36/1.95 % (3925646)Termination phase: Saturation
% 6.36/1.95 % (3925646)Time elapsed: 0.062 s
% 6.36/1.95 % (3925646)Peak memory usage: 89 MB
% 6.36/1.95 % (3925646)Instructions burned: 128 (million)
% 6.36/1.95 % (3925620)First to succeed.
% 6.36/1.95 % (3925620)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3925615"
% 6.36/1.95 % (3925652)lrs+10_1_sil=8000:sp=occurrence:random_seed=4144962521:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.36/1.95 % (3925654)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4046357418:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.36/1.95 % (3925653)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=765193237:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.36/1.95 % (3925620)Refutation found. Thanks to Tanya!
% 6.36/1.95 % SZS status Theorem for theBenchmark
% 6.36/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.35/2.15 % (3925620)------------------------------
% 8.35/2.15 % (3925620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.15 % (3925620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.15 % (3925620)CaDiCaL version: 2.1.3
% 8.35/2.15 % (3925620)Termination reason: Refutation
% 8.35/2.15 % (3925620)Time elapsed: 0.663 s
% 8.35/2.15 % (3925620)Peak memory usage: 129 MB
% 8.35/2.15 % (3925620)Instructions burned: 987 (million)
% 8.35/2.15 % (3925620)------------------------------
% 8.35/2.15 % (3925620)------------------------------
% 8.35/2.15 % (3925615)Success in time 1.091 s
% 8.35/2.15 % Vampire exiting
%------------------------------------------------------------------------------