%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM508+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:24:36 PM UTC 2026
% Result : Theorem 28.29s 5.01s
% Output : Refutation 28.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 88 ( 26 unt; 4 def)
% Number of atoms : 404 ( 81 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 450 ( 134 ~; 192 |; 107 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 59 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ( ( X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) )
=> ( X3 = sz10
| X3 = X2 ) ) )
| isPrime0(X2) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X1) = sdtasdt0(X2,X3) )
| doDivides0(X2,sdtasdt0(X0,X1)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X3] :
( aNaturalNumber0(X3)
& X0 = sdtasdt0(X2,X3) )
& doDivides0(X2,X0) )
| ( ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(f51,axiom,
( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2478) ).
fof(f52,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
| doDivides0(xr,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xr,X0) )
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f53,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)],[f52]) ).
fof(f54,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(f57,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(f58,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(f59,plain,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
| doDivides0(xr,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
| doDivides0(xr,xm) ),
inference(rectify,[],[f53]) ).
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(f107,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f108,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f107]) ).
fof(f127,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,[],[f54]) ).
fof(f128,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,[],[f127]) ).
fof(f134,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,[],[f57]) ).
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(flattening,[],[f134]) ).
fof(f136,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtasdt0(xr,X0) )
& ~ doDivides0(xr,xn)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xr,X1) )
& ~ doDivides0(xr,xm) ),
inference(ennf_transformation,[],[f59]) ).
fof(f140,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f182,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f205,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f206,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f237,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,[],[f128]) ).
fof(f270,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f135]) ).
fof(f274,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f135]) ).
fof(f279,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f58]) ).
fof(f284,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),sK17),
inference(cnf_transformation,[],[f51]) ).
fof(f285,plain,
aNaturalNumber0(sK17),
inference(cnf_transformation,[],[f51]) ).
fof(f286,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[],[f51]) ).
fof(f287,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xr),
inference(cnf_transformation,[],[f51]) ).
fof(f290,plain,
~ doDivides0(xr,xm),
inference(cnf_transformation,[],[f136]) ).
fof(f291,plain,
~ doDivides0(xr,xn),
inference(cnf_transformation,[],[f136]) ).
fof(f307,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| aNaturalNumber0(X0)
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f140]) ).
fof(f349,plain,
! [X0,X1] :
( iLess0(X0,X1)
| aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f371,plain,
~ aNaturalNumber0(xn),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f372,plain,
~ aNaturalNumber0(xm),
inference(consistent_polarity_flipping,[],[f205]) ).
fof(f375,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,[],[f237]) ).
fof(f415,plain,
~ aNaturalNumber0(xr),
inference(consistent_polarity_flipping,[],[f274]) ).
fof(f417,plain,
~ isPrime0(xr),
inference(consistent_polarity_flipping,[],[f270]) ).
fof(f421,plain,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(consistent_polarity_flipping,[],[f279]) ).
fof(f425,plain,
~ aNaturalNumber0(sK17),
inference(consistent_polarity_flipping,[],[f285]) ).
fof(f426,plain,
doDivides0(xr,xn),
inference(consistent_polarity_flipping,[],[f291]) ).
fof(f427,plain,
doDivides0(xr,xm),
inference(consistent_polarity_flipping,[],[f290]) ).
fof(f704,definition,
( spl18_5
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f712,definition,
( spl18_7
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr)) ),
introduced(definition,[new_symbols(definition,[spl18_7])],[avatar_definition]) ).
fof(f713,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
| spl18_7 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f714,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f958,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
| aNaturalNumber0(sK17) ),
inference(superposition,[],[f307,f284]) ).
fof(f959,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr)) ),
inference(forward_subsumption_resolution,[],[f958,f425]) ).
fof(f962,plain,
( spl18_7
| ~ spl18_5 ),
inference(avatar_split_clause,[],[f959,f704,f712]) ).
fof(f2746,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,[],[f375,f349]) ).
fof(f2766,definition,
( spl18_100
<=> ! [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,[spl18_100])],[avatar_definition]) ).
fof(f2767,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) )
| ~ spl18_100 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f2768,plain,
( spl18_5
| spl18_100 ),
inference(avatar_split_clause,[],[f2746,f2766,f704]) ).
fof(f2798,definition,
( spl18_106
<=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl18_106])],[avatar_definition]) ).
fof(f2800,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ spl18_106 ),
inference(avatar_component_clause,[],[f2798]) ).
fof(f11931,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| aNaturalNumber0(xr)
| ~ spl18_7 ),
inference(resolution,[],[f714,f307]) ).
fof(f11932,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ spl18_7 ),
inference(forward_subsumption_resolution,[],[f11931,f415]) ).
fof(f11933,plain,
( spl18_106
| ~ spl18_7 ),
inference(avatar_split_clause,[],[f11932,f712,f2798]) ).
fof(f11934,plain,
( aNaturalNumber0(xn)
| aNaturalNumber0(xm)
| ~ spl18_106 ),
inference(resolution,[],[f2800,f307]) ).
fof(f11935,plain,
( aNaturalNumber0(xm)
| ~ spl18_106 ),
inference(forward_subsumption_resolution,[],[f11934,f371]) ).
fof(f11936,plain,
( $false
| ~ spl18_106 ),
inference(forward_subsumption_resolution,[],[f11935,f372]) ).
fof(f11937,plain,
~ spl18_106,
inference(avatar_contradiction_clause,[],[f11936]) ).
fof(f157618,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr)
| aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
| ~ doDivides0(xr,xn)
| ~ doDivides0(xr,xm)
| aNaturalNumber0(xr)
| isPrime0(xr)
| doDivides0(xr,sdtasdt0(xn,xm))
| aNaturalNumber0(xn)
| ~ spl18_100 ),
inference(resolution,[],[f2767,f286]) ).
fof(f157757,plain,
( aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
| ~ doDivides0(xr,xn)
| ~ doDivides0(xr,xm)
| aNaturalNumber0(xr)
| isPrime0(xr)
| doDivides0(xr,sdtasdt0(xn,xm))
| aNaturalNumber0(xn)
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f157618,f287]) ).
fof(f157813,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
| ~ doDivides0(xr,xn)
| ~ doDivides0(xr,xm)
| aNaturalNumber0(xr)
| isPrime0(xr)
| doDivides0(xr,sdtasdt0(xn,xm))
| aNaturalNumber0(xn)
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f157757,f372]) ).
fof(f157853,plain,
( ~ doDivides0(xr,xn)
| ~ doDivides0(xr,xm)
| aNaturalNumber0(xr)
| isPrime0(xr)
| doDivides0(xr,sdtasdt0(xn,xm))
| aNaturalNumber0(xn)
| spl18_7
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f157813,f713]) ).
fof(f157869,plain,
( ~ doDivides0(xr,xm)
| aNaturalNumber0(xr)
| isPrime0(xr)
| doDivides0(xr,sdtasdt0(xn,xm))
| aNaturalNumber0(xn)
| spl18_7
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f157853,f426]) ).
fof(f157884,plain,
( aNaturalNumber0(xr)
| isPrime0(xr)
| doDivides0(xr,sdtasdt0(xn,xm))
| aNaturalNumber0(xn)
| spl18_7
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f157869,f427]) ).
fof(f157904,plain,
( isPrime0(xr)
| doDivides0(xr,sdtasdt0(xn,xm))
| aNaturalNumber0(xn)
| spl18_7
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f157884,f415]) ).
fof(f157932,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
| aNaturalNumber0(xn)
| spl18_7
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f157904,f417]) ).
fof(f157935,plain,
( aNaturalNumber0(xn)
| spl18_7
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f157932,f421]) ).
fof(f157937,plain,
( $false
| spl18_7
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f157935,f371]) ).
fof(f157938,plain,
( spl18_7
| ~ spl18_100 ),
inference(avatar_contradiction_clause,[],[f157937]) ).
cnf(s18,plain,
( ~ spl18_5
| spl18_7 ),
inference(sat_conversion,[],[f962]) ).
cnf(s105,plain,
( spl18_5
| spl18_100 ),
inference(sat_conversion,[],[f2768]) ).
cnf(s664,plain,
( ~ spl18_7
| spl18_106 ),
inference(sat_conversion,[],[f11933]) ).
cnf(s665,plain,
~ spl18_106,
inference(sat_conversion,[],[f11937]) ).
cnf(s4682,plain,
( spl18_7
| ~ spl18_100 ),
inference(sat_conversion,[],[f157938]) ).
cnf(s5264,plain,
~ spl18_7,
inference(rat,[],[s664,s665]) ).
cnf(s5265,plain,
~ spl18_100,
inference(rat,[],[s4682,s5264]) ).
cnf(s5334,plain,
spl18_5,
inference(rat,[],[s105,s5265]) ).
cnf(s5350,plain,
$false,
inference(rat,[],[s18,s5264,s5334]) ).
fof(f157939,plain,
$false,
inference(avatar_sat_refutation,[],[s5350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM508+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n014.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 20:15:32 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.56/2.52 % (1132660)Will run a generic schedule for satisfiability detection.
% 14.56/2.52 % (1132665)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1824356744_2999 on theBenchmark for (2999ds/0Mi)
% 14.56/2.52 % (1132666)% WARNING: option uhcvi not known.
% 14.56/2.52 % Detected minimum model sizes of [4]
% 14.56/2.52 % Detected maximum model sizes of [max]
% 14.56/2.52 % TRYING [4]
% 14.56/2.52 % (1132666)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3231301086:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.56/2.52 % (1132667)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1077200127:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.56/2.52 % (1132668)dis+10_1_sil=32000:sp=arity:random_seed=1009932583:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.56/2.52 % (1132669)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4198474344:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.56/2.52 % (1132670)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=435034346:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.56/2.52 % (1132671)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2436054218:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.56/2.52 % TRYING [5]
% 14.56/2.52 % (1132668)Instruction limit reached!
% 14.56/2.52 % (1132668)------------------------------
% 14.56/2.52 % (1132668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.56/2.52 % (1132668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.56/2.52 % (1132668)CaDiCaL version: 2.1.3
% 14.56/2.52 % (1132668)Termination reason: Instruction limit
% 14.56/2.52 % (1132668)Termination phase: Saturation
% 14.56/2.52 % (1132668)Time elapsed: 0.056 s
% 14.56/2.52 % (1132668)Peak memory usage: 12 MB
% 14.56/2.52 % (1132668)Instructions burned: 104 (million)
% 14.56/2.52 % (1132669)Instruction limit reached!
% 14.56/2.52 % (1132669)------------------------------
% 14.56/2.52 % (1132669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.56/2.52 % (1132669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.56/2.52 % (1132669)CaDiCaL version: 2.1.3
% 14.56/2.52 % (1132669)Termination reason: Instruction limit
% 14.56/2.52 % (1132669)Termination phase: Saturation
% 14.56/2.52 % (1132669)Time elapsed: 0.059 s
% 14.56/2.52 % (1132669)Peak memory usage: 13 MB
% 14.56/2.52 % (1132669)Instructions burned: 116 (million)
% 14.56/2.52 % TRYING [6]
% 14.56/2.52 % (1132670)Instruction limit reached!
% 14.56/2.52 % (1132670)------------------------------
% 14.56/2.52 % (1132670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.56/2.52 % (1132670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.56/2.52 % (1132670)CaDiCaL version: 2.1.3
% 14.56/2.52 % (1132670)Termination reason: Instruction limit
% 14.56/2.52 % (1132670)Termination phase: Saturation
% 14.56/2.52 % (1132670)Time elapsed: 0.070 s
% 14.56/2.52 % (1132670)Peak memory usage: 13 MB
% 14.56/2.52 % (1132670)Instructions burned: 133 (million)
% 14.56/2.52 % (1132679)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1168517877:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.56/2.52 % (1132680)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1001443879:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.56/2.52 % Detected minimum model sizes of [4]
% 14.56/2.52 % Detected maximum model sizes of [max]
% 14.56/2.52 % TRYING [4]
% 14.56/2.52 % (1132681)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=2090405284:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.56/2.52 % (1132671)Instruction limit reached!
% 14.56/2.52 % (1132671)------------------------------
% 14.56/2.52 % (1132671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.56/2.52 % (1132671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.56/2.52 % (1132671)CaDiCaL version: 2.1.3
% 14.56/2.52 % (1132671)Termination reason: Instruction limit
% 14.56/2.52 % (1132671)Termination phase: Saturation
% 14.56/2.52 % (1132671)Time elapsed: 0.092 s
% 14.56/2.52 % (1132671)Peak memory usage: 15 MB
% 14.56/2.52 % (1132671)Instructions burned: 160 (million)
% 14.56/2.52 % (1132685)ott-21_1_sil=16000:fs=off:random_seed=211911154:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.56/2.52 % TRYING [5]
% 14.56/2.52 % (1132680)Instruction limit reached!
% 14.56/2.52 % (1132680)------------------------------
% 28.29/5.01 % (1132680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132680)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132680)Termination reason: Instruction limit
% 28.29/5.01 % (1132680)Termination phase: Saturation
% 28.29/5.01 % (1132680)Time elapsed: 0.061 s
% 28.29/5.01 % (1132680)Peak memory usage: 12 MB
% 28.29/5.01 % (1132680)Instructions burned: 132 (million)
% 28.29/5.01 % (1132687)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1777818292:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 28.29/5.01 % TRYING [7]
% 28.29/5.01 % TRYING [6]
% 28.29/5.01 % (1132685)Instruction limit reached!
% 28.29/5.01 % (1132685)------------------------------
% 28.29/5.01 % (1132685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132685)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132685)Termination reason: Instruction limit
% 28.29/5.01 % (1132685)Termination phase: Saturation
% 28.29/5.01 % (1132685)Time elapsed: 0.092 s
% 28.29/5.01 % (1132685)Peak memory usage: 13 MB
% 28.29/5.01 % (1132685)Instructions burned: 181 (million)
% 28.29/5.01 % (1132689)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=103899259:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 28.29/5.01 % Detected minimum model sizes of [4]
% 28.29/5.01 % Detected maximum model sizes of [max]
% 28.29/5.01 % TRYING [4]
% 28.29/5.01 % (1132679)Instruction limit reached!
% 28.29/5.01 % (1132679)------------------------------
% 28.29/5.01 % (1132679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132679)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132679)Termination reason: Instruction limit
% 28.29/5.01 % (1132679)Termination phase: Finite model building constraint generation
% 28.29/5.01 % (1132679)Time elapsed: 0.251 s
% 28.29/5.01 % (1132679)Peak memory usage: 33 MB
% 28.29/5.01 % (1132679)Instructions burned: 714 (million)
% 28.29/5.01 % TRYING [5]
% 28.29/5.01 % (1132691)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2884537841:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 28.29/5.01 % TRYING [8]
% 28.29/5.01 % (1132687)Instruction limit reached!
% 28.29/5.01 % (1132687)------------------------------
% 28.29/5.01 % (1132687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132687)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132687)Termination reason: Instruction limit
% 28.29/5.01 % (1132687)Termination phase: Saturation
% 28.29/5.01 % (1132687)Time elapsed: 0.310 s
% 28.29/5.01 % (1132687)Peak memory usage: 15 MB
% 28.29/5.01 % (1132687)Instructions burned: 478 (million)
% 28.29/5.01 % (1132681)Instruction limit reached!
% 28.29/5.01 % (1132681)------------------------------
% 28.29/5.01 % (1132681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132681)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132681)Termination reason: Instruction limit
% 28.29/5.01 % (1132681)Termination phase: Saturation
% 28.29/5.01 % (1132681)Time elapsed: 0.386 s
% 28.29/5.01 % (1132681)Peak memory usage: 20 MB
% 28.29/5.01 % (1132681)Instructions burned: 685 (million)
% 28.29/5.01 % (1132693)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1889098841:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 28.29/5.01 % (1132694)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=1454480535: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)
% 28.29/5.01 % (1132689)Instruction limit reached!
% 28.29/5.01 % (1132689)------------------------------
% 28.29/5.01 % (1132689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132689)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132689)Termination reason: Instruction limit
% 28.29/5.01 % (1132689)Termination phase: Finite model building SAT solving
% 28.29/5.01 % (1132689)Time elapsed: 0.353 s
% 28.29/5.01 % (1132689)Peak memory usage: 24 MB
% 28.29/5.01 % (1132689)Instructions burned: 866 (million)
% 28.29/5.01 % (1132697)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3698530880:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 28.29/5.01 % TRYING [14]
% 28.29/5.01 % (1132693)Instruction limit reached!
% 28.29/5.01 % (1132693)------------------------------
% 28.29/5.01 % (1132693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132693)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132693)Termination reason: Instruction limit
% 28.29/5.01 % (1132693)Termination phase: Finite model building constraint generation
% 28.29/5.01 % (1132693)Time elapsed: 0.337 s
% 28.29/5.01 % (1132693)Peak memory usage: 76 MB
% 28.29/5.01 % (1132693)Instructions burned: 889 (million)
% 28.29/5.01 % TRYING [9]
% 28.29/5.01 % (1132699)fmb+10_1_sil=64000:random_seed=1373427805:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 28.29/5.01 % (1132694)Instruction limit reached!
% 28.29/5.01 % (1132694)------------------------------
% 28.29/5.01 % (1132694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132694)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132694)Termination reason: Instruction limit
% 28.29/5.01 % (1132694)Termination phase: Saturation
% 28.29/5.01 % (1132694)Time elapsed: 0.360 s
% 28.29/5.01 % (1132694)Peak memory usage: 20 MB
% 28.29/5.01 % (1132694)Instructions burned: 693 (million)
% 28.29/5.01 % Detected minimum model sizes of [4]
% 28.29/5.01 % Detected maximum model sizes of [max]
% 28.29/5.01 % TRYING [4]
% 28.29/5.01 % (1132701)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1739981764:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 28.29/5.01 % Detected minimum model sizes of [4]
% 28.29/5.01 % Detected maximum model sizes of [max]
% 28.29/5.01 % TRYING [20]
% 28.29/5.01 % TRYING [5]
% 28.29/5.01 % (1132691)Instruction limit reached!
% 28.29/5.01 % (1132691)------------------------------
% 28.29/5.01 % (1132691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132691)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132691)Termination reason: Instruction limit
% 28.29/5.01 % (1132691)Termination phase: Saturation
% 28.29/5.01 % (1132691)Time elapsed: 0.639 s
% 28.29/5.01 % (1132691)Peak memory usage: 22 MB
% 28.29/5.01 % (1132691)Instructions burned: 1180 (million)
% 28.29/5.01 % (1132703)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=434580123:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 28.29/5.01 % Detected minimum model sizes of [4]
% 28.29/5.01 % Detected maximum model sizes of [max]
% 28.29/5.01 % TRYING [8]
% 28.29/5.01 % (1132697)Instruction limit reached!
% 28.29/5.01 % (1132697)------------------------------
% 28.29/5.01 % (1132697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132697)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132697)Termination reason: Instruction limit
% 28.29/5.01 % (1132697)Termination phase: Saturation
% 28.29/5.01 % (1132697)Time elapsed: 0.486 s
% 28.29/5.01 % (1132697)Peak memory usage: 20 MB
% 28.29/5.01 % (1132697)Instructions burned: 881 (million)
% 28.29/5.01 % (1132705)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3066640131:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 28.29/5.01 % TRYING [6]
% 28.29/5.01 % (1132703)Instruction limit reached!
% 28.29/5.01 % (1132703)------------------------------
% 28.29/5.01 % (1132703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132703)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132703)Termination reason: Instruction limit
% 28.29/5.01 % (1132703)Termination phase: Finite model building constraint generation
% 28.29/5.01 % (1132703)Time elapsed: 0.337 s
% 28.29/5.01 % (1132703)Peak memory usage: 70 MB
% 28.29/5.01 % (1132703)Instructions burned: 920 (million)
% 28.29/5.01 % (1132708)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3576265981:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 28.29/5.01 % TRYING [10]
% 28.29/5.01 % TRYING [7]
% 28.29/5.01 % (1132708)Instruction limit reached!
% 28.29/5.01 % (1132708)------------------------------
% 28.29/5.01 % (1132708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132708)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132708)Termination reason: Instruction limit
% 28.29/5.01 % (1132708)Termination phase: Saturation
% 28.29/5.01 % (1132708)Time elapsed: 0.665 s
% 28.29/5.01 % (1132708)Peak memory usage: 17 MB
% 28.29/5.01 % (1132708)Instructions burned: 1474 (million)
% 28.29/5.01 % (1132710)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3785492475:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 28.29/5.01 % Detected minimum model sizes of [4]
% 28.29/5.01 % Detected maximum model sizes of [max]
% 28.29/5.01 % TRYING [77]
% 28.29/5.01 % TRYING [11]
% 28.29/5.01 % TRYING [8]
% 28.29/5.01 % (1132705)Instruction limit reached!
% 28.29/5.01 % (1132705)------------------------------
% 28.29/5.01 % (1132705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132705)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132705)Termination reason: Instruction limit
% 28.29/5.01 % (1132705)Termination phase: Saturation
% 28.29/5.01 % (1132705)Time elapsed: 2.641 s
% 28.29/5.01 % (1132705)Peak memory usage: 39 MB
% 28.29/5.01 % (1132705)Instructions burned: 5133 (million)
% 28.29/5.01 % (1132712)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3767038819:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 28.29/5.01 % Detected minimum model sizes of [4]
% 28.29/5.01 % Detected maximum model sizes of [max]
% 28.29/5.01 % TRYING [16]
% 28.29/5.01 % (1132701)Instruction limit reached!
% 28.29/5.01 % (1132701)------------------------------
% 28.29/5.01 % (1132701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132701)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132701)Termination reason: Instruction limit
% 28.29/5.01 % (1132701)Termination phase: Finite model building constraint generation
% 28.29/5.01 % (1132701)Time elapsed: 3.257 s
% 28.29/5.01 % (1132701)Peak memory usage: 577 MB
% 28.29/5.01 % (1132701)Instructions burned: 9515 (million)
% 28.29/5.01 % (1132714)ott-2_1_sil=16000:newcnf=on:random_seed=2360736362:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 28.29/5.01 % (1132710)Instruction limit reached!
% 28.29/5.01 % (1132710)------------------------------
% 28.29/5.01 % (1132710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132710)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132710)Termination reason: Instruction limit
% 28.29/5.01 % (1132710)Termination phase: Finite model building constraint generation
% 28.29/5.01 % (1132710)Time elapsed: 2.344 s
% 28.29/5.01 % (1132710)Peak memory usage: 522 MB
% 28.29/5.01 % (1132710)Instructions burned: 6325 (million)
% 28.29/5.01 % (1132666) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1132660-1132666"...
% 28.29/5.01 % (1132666)...printing done.
% 28.29/5.01 % (1132666)Refutation found. Thanks to Tanya!
% 28.29/5.01 % SZS status Theorem for theBenchmark
% 28.29/5.01 % SZS output start Proof for theBenchmark
% See solution above
% 28.29/5.01 % (1132666)------------------------------
% 28.29/5.01 % (1132666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.29/5.01 % (1132666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.29/5.01 % (1132666)CaDiCaL version: 2.1.3
% 28.29/5.01 % (1132666)Termination reason: Refutation
% 28.29/5.01 % (1132666)Time elapsed: 4.437 s
% 28.29/5.01 % (1132666)Peak memory usage: 72 MB
% 28.29/5.01 % (1132666)Instructions burned: 8698 (million)
% 28.29/5.01 % (1132660)Success in time 4.562 s
% 28.29/5.01 % Vampire exiting
%------------------------------------------------------------------------------