%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM517+1 : 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 : n004.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 7.12s 2.83s
% Output : Refutation 7.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 127 ( 37 unt; 9 def)
% Number of atoms : 394 ( 42 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 423 ( 156 ~; 217 |; 25 &)
% ( 15 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
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(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(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
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) )
=> ( ( isPrime0(X2)
& doDivides0(X2,sdtasdt0(X0,X1)) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X2,X0)
| doDivides0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1799) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(f54,axiom,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2529) ).
fof(f55,axiom,
( sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2686) ).
fof(f56,conjecture,
( doDivides0(xp,sdtsldt0(xn,xr))
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ( doDivides0(xp,sdtsldt0(xn,xr))
| doDivides0(xp,xm) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f59,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f60,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f59]) ).
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(f109,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(f110,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,[],[f109]) ).
fof(f121,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f122,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f121]) ).
fof(f125,plain,
! [X0,X1,X2] :
( doDivides0(X2,X0)
| doDivides0(X2,X1)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f126,plain,
! [X0,X1,X2] :
( doDivides0(X2,X0)
| doDivides0(X2,X1)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f125]) ).
fof(f128,plain,
( ~ doDivides0(xp,sdtsldt0(xn,xr))
& ~ doDivides0(xp,xm) ),
inference(ennf_transformation,[],[f57]) ).
fof(f129,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f174,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f110]) ).
fof(f192,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != X0
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f196,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f197,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f198,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f201,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f213,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f215,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f221,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f224,plain,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f54]) ).
fof(f225,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[],[f55]) ).
fof(f226,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),
inference(cnf_transformation,[],[f55]) ).
fof(f227,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f128]) ).
fof(f228,plain,
~ doDivides0(xp,sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f128]) ).
fof(f236,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f179]) ).
fof(f238,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f192]) ).
fof(f240,plain,
~ aNaturalNumber0(sz00),
inference(consistent_polarity_flipping,[],[f129]) ).
fof(f242,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| aNaturalNumber0(X0)
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f132]) ).
fof(f284,plain,
! [X0,X1] :
( iLess0(X0,X1)
| aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f289,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(consistent_polarity_flipping,[],[f236]) ).
fof(f296,plain,
( aNaturalNumber0(sz00)
| isPrime0(sz00) ),
inference(consistent_polarity_flipping,[],[f238]) ).
fof(f306,plain,
~ aNaturalNumber0(xn),
inference(consistent_polarity_flipping,[],[f198]) ).
fof(f307,plain,
~ aNaturalNumber0(xm),
inference(consistent_polarity_flipping,[],[f197]) ).
fof(f308,plain,
~ aNaturalNumber0(xp),
inference(consistent_polarity_flipping,[],[f196]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(X1)
| aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| isPrime0(X2)
| aNaturalNumber0(X2)
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(consistent_polarity_flipping,[],[f199]) ).
fof(f310,plain,
~ isPrime0(xp),
inference(consistent_polarity_flipping,[],[f201]) ).
fof(f311,plain,
~ aNaturalNumber0(xr),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f312,plain,
~ isPrime0(xr),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f315,definition,
( spl4_1
<=> doDivides0(xr,xn) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f317,plain,
( doDivides0(xr,xn)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f333,definition,
( spl4_5
<=> isPrime0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f335,plain,
( isPrime0(sz00)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f337,definition,
( spl4_6
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f340,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f296,f337,f333]) ).
fof(f342,plain,
~ spl4_6,
inference(avatar_split_clause,[],[f240,f337]) ).
fof(f343,plain,
spl4_1,
inference(avatar_split_clause,[],[f221,f315]) ).
fof(f470,definition,
( spl4_11
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f471,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_11 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f620,definition,
( spl4_21
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f622,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f628,definition,
( spl4_23
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl4_23])],[avatar_definition]) ).
fof(f630,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f913,plain,
( aNaturalNumber0(xr)
| aNaturalNumber0(xn)
| sz00 = xr
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_1 ),
inference(resolution,[],[f289,f317]) ).
fof(f920,plain,
( aNaturalNumber0(xn)
| sz00 = xr
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f913,f311]) ).
fof(f930,definition,
( spl4_52
<=> sz00 = xr ),
introduced(definition,[new_symbols(definition,[spl4_52])],[avatar_definition]) ).
fof(f932,plain,
( sz00 = xr
| ~ spl4_52 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f934,plain,
( sz00 = xr
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f920,f306]) ).
fof(f950,plain,
( ~ spl4_11
| spl4_52
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f934,f315,f930,f470]) ).
fof(f1053,plain,
( ~ isPrime0(sz00)
| ~ spl4_52 ),
inference(superposition,[],[f312,f932]) ).
fof(f1060,plain,
( $false
| ~ spl4_5
| ~ spl4_52 ),
inference(forward_subsumption_resolution,[],[f1053,f335]) ).
fof(f1061,plain,
( ~ spl4_5
| ~ spl4_52 ),
inference(avatar_contradiction_clause,[],[f1060]) ).
fof(f2019,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| ~ doDivides0(X2,sdtasdt0(X1,X0))
| isPrime0(X2)
| aNaturalNumber0(X2)
| doDivides0(X2,X0)
| doDivides0(X2,X1)
| aNaturalNumber0(sdtpldt0(sdtpldt0(X1,X0),X2))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(X1,X0),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(X1,X0),X2)
| aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(resolution,[],[f309,f284]) ).
fof(f2027,definition,
( spl4_104
<=> ! [X2,X0,X1] :
( aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(X1,X0),X2)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(X1,X0),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(sdtpldt0(sdtpldt0(X1,X0),X2))
| doDivides0(X2,X1)
| doDivides0(X2,X0)
| aNaturalNumber0(X2)
| isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X1,X0))
| aNaturalNumber0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl4_104])],[avatar_definition]) ).
fof(f2028,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(X1,X0),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(X1,X0),X2)
| aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(sdtpldt0(X1,X0),X2))
| doDivides0(X2,X1)
| doDivides0(X2,X0)
| aNaturalNumber0(X2)
| isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X1,X0))
| aNaturalNumber0(X1) )
| ~ spl4_104 ),
inference(avatar_component_clause,[],[f2027]) ).
fof(f2029,plain,
( spl4_21
| spl4_104 ),
inference(avatar_split_clause,[],[f2019,f2027,f620]) ).
fof(f5357,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| aNaturalNumber0(xp)
| ~ spl4_21 ),
inference(resolution,[],[f622,f242]) ).
fof(f5358,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f5357,f308]) ).
fof(f8539,plain,
( aNaturalNumber0(xn)
| aNaturalNumber0(xm)
| ~ spl4_21 ),
inference(resolution,[],[f5358,f242]) ).
fof(f8540,plain,
( aNaturalNumber0(xm)
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f8539,f306]) ).
fof(f8541,plain,
( $false
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f8540,f307]) ).
fof(f8542,plain,
~ spl4_21,
inference(avatar_contradiction_clause,[],[f8541]) ).
fof(f8604,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| aNaturalNumber0(xp)
| ~ spl4_23 ),
inference(resolution,[],[f630,f242]) ).
fof(f8605,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ spl4_23 ),
inference(forward_subsumption_resolution,[],[f8604,f308]) ).
fof(f12843,definition,
( spl4_486
<=> aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm)) ),
introduced(definition,[new_symbols(definition,[spl4_486])],[avatar_definition]) ).
fof(f12845,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ spl4_486 ),
inference(avatar_component_clause,[],[f12843]) ).
fof(f80131,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
| aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| doDivides0(xp,sdtsldt0(xn,xr))
| doDivides0(xp,xm)
| aNaturalNumber0(xp)
| isPrime0(xp)
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_104 ),
inference(resolution,[],[f2028,f225]) ).
fof(f94915,plain,
( spl4_486
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f8605,f628,f12843]) ).
fof(f94916,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| aNaturalNumber0(xm)
| ~ spl4_486 ),
inference(resolution,[],[f12845,f242]) ).
fof(f94917,plain,
( aNaturalNumber0(xm)
| spl4_11
| ~ spl4_486 ),
inference(forward_subsumption_resolution,[],[f94916,f471]) ).
fof(f94918,plain,
( $false
| spl4_11
| ~ spl4_486 ),
inference(forward_subsumption_resolution,[],[f94917,f307]) ).
fof(f94919,plain,
( spl4_11
| ~ spl4_486 ),
inference(avatar_contradiction_clause,[],[f94918]) ).
fof(f94946,plain,
( aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| doDivides0(xp,sdtsldt0(xn,xr))
| doDivides0(xp,xm)
| aNaturalNumber0(xp)
| isPrime0(xp)
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_104 ),
inference(forward_subsumption_resolution,[],[f80131,f226]) ).
fof(f94988,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| doDivides0(xp,sdtsldt0(xn,xr))
| doDivides0(xp,xm)
| aNaturalNumber0(xp)
| isPrime0(xp)
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_104 ),
inference(forward_subsumption_resolution,[],[f94946,f307]) ).
fof(f95077,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| doDivides0(xp,xm)
| aNaturalNumber0(xp)
| isPrime0(xp)
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_104 ),
inference(forward_subsumption_resolution,[],[f94988,f228]) ).
fof(f95078,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| aNaturalNumber0(xp)
| isPrime0(xp)
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_104 ),
inference(forward_subsumption_resolution,[],[f95077,f227]) ).
fof(f95079,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| isPrime0(xp)
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_104 ),
inference(forward_subsumption_resolution,[],[f95078,f308]) ).
fof(f95080,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_104 ),
inference(forward_subsumption_resolution,[],[f95079,f310]) ).
fof(f95081,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_104 ),
inference(forward_subsumption_resolution,[],[f95080,f224]) ).
fof(f95082,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| spl4_11
| ~ spl4_104 ),
inference(forward_subsumption_resolution,[],[f95081,f471]) ).
fof(f95083,plain,
( spl4_23
| spl4_11
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f95082,f2027,f470,f628]) ).
cnf(s3,plain,
( spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f340]) ).
cnf(s5,plain,
~ spl4_6,
inference(sat_conversion,[],[f342]) ).
cnf(s6,plain,
spl4_1,
inference(sat_conversion,[],[f343]) ).
cnf(s43,plain,
( ~ spl4_1
| ~ spl4_11
| spl4_52 ),
inference(sat_conversion,[],[f950]) ).
cnf(s51,plain,
( ~ spl4_5
| ~ spl4_52 ),
inference(sat_conversion,[],[f1061]) ).
cnf(s100,plain,
( spl4_21
| spl4_104 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s378,plain,
~ spl4_21,
inference(sat_conversion,[],[f8542]) ).
cnf(s5215,plain,
( ~ spl4_23
| spl4_486 ),
inference(sat_conversion,[],[f94915]) ).
cnf(s5216,plain,
( spl4_11
| ~ spl4_486 ),
inference(sat_conversion,[],[f94919]) ).
cnf(s5243,plain,
( spl4_11
| spl4_23
| ~ spl4_104 ),
inference(sat_conversion,[],[f95083]) ).
cnf(s5420,plain,
spl4_104,
inference(rat,[],[s100,s378]) ).
cnf(s5505,plain,
spl4_5,
inference(rat,[],[s3,s5]) ).
cnf(s5507,plain,
~ spl4_52,
inference(rat,[],[s51,s5505]) ).
cnf(s5533,plain,
~ spl4_11,
inference(rat,[],[s43,s6,s5507]) ).
cnf(s5587,plain,
spl4_23,
inference(rat,[],[s5243,s5420,s5533]) ).
cnf(s5588,plain,
~ spl4_486,
inference(rat,[],[s5216,s5533]) ).
cnf(s5673,plain,
$false,
inference(rat,[],[s5215,s5588,s5587]) ).
fof(f95084,plain,
$false,
inference(avatar_sat_refutation,[],[s5673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM517+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:17:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 14.06/2.45 % (3850935)Will run a generic schedule for satisfiability detection.
% 14.06/2.45 % (3850943)dis+10_1_sil=32000:sp=arity:random_seed=1370927608:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.06/2.45 % (3850941)% WARNING: option uhcvi not known.
% 14.06/2.45 % (3850940)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1432027649_2999 on theBenchmark for (2999ds/0Mi)
% 14.06/2.45 % (3850941)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=347289934:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.06/2.45 % (3850942)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2829530809:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.06/2.45 % (3850944)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2631777428:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.06/2.45 % (3850945)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1365493209:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.06/2.45 % (3850946)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3531861660:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.06/2.45 % Detected minimum model sizes of [3]
% 14.06/2.45 % Detected maximum model sizes of [max]
% 14.06/2.45 % TRYING [3]
% 14.06/2.45 % TRYING [4]
% 14.06/2.45 % (3850943)Instruction limit reached!
% 14.06/2.45 % (3850943)------------------------------
% 14.06/2.45 % (3850943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.45 % (3850943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.45 % (3850943)CaDiCaL version: 2.1.3
% 14.06/2.45 % (3850943)Termination reason: Instruction limit
% 14.06/2.45 % (3850943)Termination phase: Saturation
% 14.06/2.45 % (3850943)Time elapsed: 0.033 s
% 14.06/2.45 % (3850943)Peak memory usage: 12 MB
% 14.06/2.45 % (3850943)Instructions burned: 106 (million)
% 14.06/2.45 % (3850954)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1547267260:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.06/2.45 % Detected minimum model sizes of [3]
% 14.06/2.45 % Detected maximum model sizes of [max]
% 14.06/2.45 % TRYING [3]
% 14.06/2.45 % TRYING [5]
% 14.06/2.45 % TRYING [4]
% 14.06/2.45 % TRYING [5]
% 14.06/2.45 % (3850944)Instruction limit reached!
% 14.06/2.45 % (3850944)------------------------------
% 14.06/2.45 % (3850944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.45 % (3850944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.45 % (3850944)CaDiCaL version: 2.1.3
% 14.06/2.45 % (3850944)Termination reason: Instruction limit
% 14.06/2.45 % (3850944)Termination phase: Saturation
% 14.06/2.45 % (3850944)Time elapsed: 0.065 s
% 14.06/2.45 % (3850944)Peak memory usage: 13 MB
% 14.06/2.45 % (3850944)Instructions burned: 116 (million)
% 14.06/2.45 % (3850945)Instruction limit reached!
% 14.06/2.45 % (3850945)------------------------------
% 14.06/2.45 % (3850945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.45 % (3850945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.45 % (3850945)CaDiCaL version: 2.1.3
% 14.06/2.45 % (3850945)Termination reason: Instruction limit
% 14.06/2.45 % (3850945)Termination phase: Saturation
% 14.06/2.45 % (3850945)Time elapsed: 0.076 s
% 14.06/2.45 % (3850945)Peak memory usage: 13 MB
% 14.06/2.45 % (3850945)Instructions burned: 131 (million)
% 14.06/2.45 % (3850956)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3401250724:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.06/2.45 % (3850946)Instruction limit reached!
% 14.06/2.45 % (3850946)------------------------------
% 14.06/2.45 % (3850946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.45 % (3850946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.45 % (3850946)CaDiCaL version: 2.1.3
% 14.06/2.45 % (3850946)Termination reason: Instruction limit
% 14.06/2.45 % (3850946)Termination phase: Saturation
% 14.06/2.45 % (3850946)Time elapsed: 0.095 s
% 14.06/2.45 % (3850946)Peak memory usage: 14 MB
% 14.06/2.45 % (3850946)Instructions burned: 159 (million)
% 14.06/2.45 % (3850957)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=1233062204:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.06/2.45 % TRYING [6]
% 14.06/2.45 % (3850959)ott-21_1_sil=16000:fs=off:random_seed=1744981283:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.06/2.45 % TRYING [6]
% 14.06/2.45 % (3850956)Instruction limit reached!
% 7.12/2.83 % (3850956)------------------------------
% 7.12/2.83 % (3850956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850956)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850956)Termination reason: Instruction limit
% 7.12/2.83 % (3850956)Termination phase: Saturation
% 7.12/2.83 % (3850956)Time elapsed: 0.069 s
% 7.12/2.83 % (3850956)Peak memory usage: 12 MB
% 7.12/2.83 % (3850956)Instructions burned: 131 (million)
% 7.12/2.83 % (3850954)Instruction limit reached!
% 7.12/2.83 % (3850954)------------------------------
% 7.12/2.83 % (3850954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850954)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850954)Termination reason: Instruction limit
% 7.12/2.83 % (3850954)Termination phase: Finite model building constraint generation
% 7.12/2.83 % (3850954)Time elapsed: 0.137 s
% 7.12/2.83 % (3850954)Peak memory usage: 34 MB
% 7.12/2.83 % (3850954)Instructions burned: 719 (million)
% 7.12/2.83 % (3850962)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4135109908:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.12/2.83 % (3850964)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3328128713:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.12/2.83 % Detected minimum model sizes of [3]
% 7.12/2.83 % Detected maximum model sizes of [max]
% 7.12/2.83 % TRYING [3]
% 7.12/2.83 % TRYING [4]
% 7.12/2.83 % (3850959)Instruction limit reached!
% 7.12/2.83 % (3850959)------------------------------
% 7.12/2.83 % (3850959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850959)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850959)Termination reason: Instruction limit
% 7.12/2.83 % (3850959)Termination phase: Saturation
% 7.12/2.83 % (3850959)Time elapsed: 0.094 s
% 7.12/2.83 % (3850959)Peak memory usage: 13 MB
% 7.12/2.83 % (3850959)Instructions burned: 180 (million)
% 7.12/2.83 % (3850966)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2499790983:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.12/2.83 % TRYING [5]
% 7.12/2.83 % TRYING [7]
% 7.12/2.83 % TRYING [6]
% 7.12/2.83 % (3850964)Instruction limit reached!
% 7.12/2.83 % (3850964)------------------------------
% 7.12/2.83 % (3850964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850964)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850964)Termination reason: Instruction limit
% 7.12/2.83 % (3850964)Termination phase: Finite model building constraint generation
% 7.12/2.83 % (3850964)Time elapsed: 0.187 s
% 7.12/2.83 % (3850964)Peak memory usage: 22 MB
% 7.12/2.83 % (3850964)Instructions burned: 869 (million)
% 7.12/2.83 % (3850968)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2839682635:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.12/2.83 % TRYING [14]
% 7.12/2.83 % (3850962)Instruction limit reached!
% 7.12/2.83 % (3850962)------------------------------
% 7.12/2.83 % (3850962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850962)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850962)Termination reason: Instruction limit
% 7.12/2.83 % (3850962)Termination phase: Saturation
% 7.12/2.83 % (3850962)Time elapsed: 0.302 s
% 7.12/2.83 % (3850962)Peak memory usage: 14 MB
% 7.12/2.83 % (3850962)Instructions burned: 477 (million)
% 7.12/2.83 % (3850957)Instruction limit reached!
% 7.12/2.83 % (3850957)------------------------------
% 7.12/2.83 % (3850957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850957)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850957)Termination reason: Instruction limit
% 7.12/2.83 % (3850957)Termination phase: Saturation
% 7.12/2.83 % (3850957)Time elapsed: 0.381 s
% 7.12/2.83 % (3850957)Peak memory usage: 21 MB
% 7.12/2.83 % (3850957)Instructions burned: 685 (million)
% 7.12/2.83 % (3850970)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=3025410972:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.12/2.83 % (3850971)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2621987636:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.12/2.83 % (3850968)Instruction limit reached!
% 7.12/2.83 % (3850968)------------------------------
% 7.12/2.83 % (3850968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850968)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850968)Termination reason: Instruction limit
% 7.12/2.83 % (3850968)Termination phase: Finite model building constraint generation
% 7.12/2.83 % (3850968)Time elapsed: 0.188 s
% 7.12/2.83 % (3850968)Peak memory usage: 80 MB
% 7.12/2.83 % (3850968)Instructions burned: 892 (million)
% 7.12/2.83 % (3850974)fmb+10_1_sil=64000:random_seed=2881370049:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.12/2.83 % Detected minimum model sizes of [3]
% 7.12/2.83 % Detected maximum model sizes of [max]
% 7.12/2.83 % TRYING [3]
% 7.12/2.83 % TRYING [4]
% 7.12/2.83 % TRYING [5]
% 7.12/2.83 % TRYING [8]
% 7.12/2.83 % TRYING [6]
% 7.12/2.83 % (3850970)Instruction limit reached!
% 7.12/2.83 % (3850970)------------------------------
% 7.12/2.83 % (3850970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850970)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850970)Termination reason: Instruction limit
% 7.12/2.83 % (3850970)Termination phase: Saturation
% 7.12/2.83 % (3850970)Time elapsed: 0.346 s
% 7.12/2.83 % (3850970)Peak memory usage: 22 MB
% 7.12/2.83 % (3850970)Instructions burned: 692 (million)
% 7.12/2.83 % (3850966)Instruction limit reached!
% 7.12/2.83 % (3850966)------------------------------
% 7.12/2.83 % (3850966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850966)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850966)Termination reason: Instruction limit
% 7.12/2.83 % (3850966)Termination phase: Saturation
% 7.12/2.83 % (3850966)Time elapsed: 0.624 s
% 7.12/2.83 % (3850966)Peak memory usage: 25 MB
% 7.12/2.83 % (3850966)Instructions burned: 1180 (million)
% 7.12/2.83 % (3850976)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3835545097:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.12/2.83 % Detected minimum model sizes of [3]
% 7.12/2.83 % Detected maximum model sizes of [max]
% 7.12/2.83 % TRYING [20]
% 7.12/2.83 % (3850977)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1093005758:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 7.12/2.83 % Detected minimum model sizes of [3]
% 7.12/2.83 % Detected maximum model sizes of [max]
% 7.12/2.83 % TRYING [8]
% 7.12/2.83 % (3850971)Instruction limit reached!
% 7.12/2.83 % (3850971)------------------------------
% 7.12/2.83 % (3850971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850971)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850971)Termination reason: Instruction limit
% 7.12/2.83 % (3850971)Termination phase: Saturation
% 7.12/2.83 % (3850971)Time elapsed: 0.481 s
% 7.12/2.83 % (3850971)Peak memory usage: 20 MB
% 7.12/2.83 % (3850971)Instructions burned: 880 (million)
% 7.12/2.83 % (3850980)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=762318773:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.12/2.83 % TRYING [7]
% 7.12/2.83 % (3850977)Instruction limit reached!
% 7.12/2.83 % (3850977)------------------------------
% 7.12/2.83 % (3850977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850977)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850977)Termination reason: Instruction limit
% 7.12/2.83 % (3850977)Termination phase: Finite model building constraint generation
% 7.12/2.83 % (3850977)Time elapsed: 0.335 s
% 7.12/2.83 % (3850977)Peak memory usage: 67 MB
% 7.12/2.83 % (3850977)Instructions burned: 921 (million)
% 7.12/2.83 % (3850982)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1285471215:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 7.12/2.83 % TRYING [9]
% 7.12/2.83 % TRYING [8]
% 7.12/2.83 % (3850982)Instruction limit reached!
% 7.12/2.83 % (3850982)------------------------------
% 7.12/2.83 % (3850982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.83 % (3850982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.83 % (3850982)CaDiCaL version: 2.1.3
% 7.12/2.83 % (3850982)Termination reason: Instruction limit
% 7.12/2.83 % (3850982)Termination phase: Saturation
% 7.12/2.83 % (3850982)Time elapsed: 0.761 s
% 7.12/2.83 % (3850982)Peak memory usage: 34 MB
% 7.12/2.83 % (3850982)Instructions burned: 1473 (million)
% 7.12/2.83 % (3850984)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4117923421:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 7.12/2.83 % Detected minimum model sizes of [3]
% 7.12/2.83 % Detected maximum model sizes of [max]
% 7.12/2.83 % TRYING [77]
% 7.12/2.83 % (3850941) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3850935-3850941"...
% 7.12/2.83 % (3850941)...printing done.
% 7.12/2.83 % (3850941)Refutation found. Thanks to Tanya!
% 7.12/2.83 % SZS status Theorem for theBenchmark
% 7.12/2.83 % SZS output start Proof for theBenchmark
% See solution above
% 7.12/2.84 % (3850941)------------------------------
% 7.12/2.84 % (3850941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/2.84 % (3850941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.84 % (3850941)CaDiCaL version: 2.1.3
% 7.12/2.84 % (3850941)Termination reason: Refutation
% 7.12/2.84 % (3850941)Time elapsed: 2.339 s
% 7.12/2.84 % (3850941)Peak memory usage: 58 MB
% 7.12/2.84 % (3850941)Instructions burned: 4796 (million)
% 7.12/2.84 % (3850935)Success in time 2.422 s
% 7.12/2.84 % Vampire exiting
%------------------------------------------------------------------------------