%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM516+1 : 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 : n020.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 12:24:37 PM UTC 2026
% Result : Theorem 10.97s 2.11s
% Output : Refutation 10.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 25
% Syntax : Number of formulae : 143 ( 37 unt; 14 def)
% Number of atoms : 476 ( 145 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 576 ( 243 ~; 245 |; 63 &)
% ( 15 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 79 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f53,axiom,
( sdtsldt0(xn,xr) != xn
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2504) ).
fof(f55,conjecture,
( 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/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
~ ( 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)) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
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(f76,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f77,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f76]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f95]) ).
fof(f107,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(f108,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,[],[f107]) ).
fof(f119,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(f120,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f119]) ).
fof(f126,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f135,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,[],[f108]) ).
fof(f136,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,[],[f135]) ).
fof(f137,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f138,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ( sz10 != sK2(X0)
& sK2(X0) != X0
& aNaturalNumber0(sK2(X0))
& doDivides0(sK2(X0),X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f139]) ).
fof(f142,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f159,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f177,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f193,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f202,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f210,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f211,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f212,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f227,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f229,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f235,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f236,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f53]) ).
fof(f237,plain,
xn != sdtsldt0(xn,xr),
inference(cnf_transformation,[],[f53]) ).
fof(f239,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f248,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f193]) ).
fof(f250,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_resolution,[],[f202]) ).
fof(f252,definition,
sF4 = sdtpldt0(xn,xm),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f253,plain,
sdtpldt0(xn,xm) = sF4,
inference(reorient_equations,[],[f252]) ).
fof(f254,definition,
sF5 = sdtpldt0(sF4,xp),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f255,plain,
sdtpldt0(sF4,xp) = sF5,
inference(reorient_equations,[],[f254]) ).
fof(f256,definition,
sF6 = sdtsldt0(xn,xr),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f257,plain,
sdtsldt0(xn,xr) = sF6,
inference(reorient_equations,[],[f256]) ).
fof(f258,definition,
sF7 = sdtpldt0(sF6,xm),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f259,plain,
sdtpldt0(sF6,xm) = sF7,
inference(reorient_equations,[],[f258]) ).
fof(f260,definition,
sF8 = sdtpldt0(sF7,xp),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f261,plain,
sdtpldt0(sF7,xp) = sF8,
inference(reorient_equations,[],[f260]) ).
fof(f262,plain,
( sF5 = sF8
| ~ sdtlseqdt0(sF8,sF5) ),
inference(definition_folding,[],[f239,f255,f253,f261,f259,f257,f261,f259,f257,f255,f253]) ).
fof(f265,definition,
( spl9_1
<=> sdtlseqdt0(sF8,sF5) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f267,plain,
( ~ sdtlseqdt0(sF8,sF5)
| spl9_1 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl9_2
<=> sF5 = sF8 ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f272,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f262,f269,f265]) ).
fof(f283,definition,
( spl9_5
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
fof(f287,definition,
( spl9_6
<=> isPrime0(sz00) ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
fof(f289,plain,
( ~ isPrime0(sz00)
| spl9_6 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f290,plain,
( ~ spl9_5
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f250,f287,f283]) ).
fof(f292,plain,
spl9_5,
inference(avatar_split_clause,[],[f142,f283]) ).
fof(f293,plain,
xn != sF6,
inference(superposition,[],[f237,f257]) ).
fof(f294,plain,
sdtlseqdt0(sF6,xn),
inference(superposition,[],[f236,f257]) ).
fof(f342,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f145,f253]) ).
fof(f345,plain,
( aNaturalNumber0(sF7)
| ~ aNaturalNumber0(sF6)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f145,f259]) ).
fof(f348,plain,
( aNaturalNumber0(sF7)
| ~ aNaturalNumber0(sF6) ),
inference(forward_subsumption_resolution,[],[f345,f211]) ).
fof(f350,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f342,f212]) ).
fof(f352,definition,
( spl9_7
<=> aNaturalNumber0(sF7) ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
fof(f353,plain,
( aNaturalNumber0(sF7)
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f361,definition,
( spl9_9
<=> aNaturalNumber0(sF6) ),
introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition]) ).
fof(f362,plain,
( aNaturalNumber0(sF6)
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f363,plain,
( ~ aNaturalNumber0(sF6)
| spl9_9 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f364,plain,
( ~ spl9_9
| spl9_7 ),
inference(avatar_split_clause,[],[f348,f352,f361]) ).
fof(f366,definition,
( spl9_10
<=> aNaturalNumber0(sF4) ),
introduced(definition,[new_symbols(definition,[spl9_10])],[avatar_definition]) ).
fof(f367,plain,
( aNaturalNumber0(sF4)
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f374,plain,
aNaturalNumber0(sF4),
inference(forward_subsumption_resolution,[],[f350,f211]) ).
fof(f375,plain,
spl9_10,
inference(avatar_split_clause,[],[f374,f366]) ).
fof(f1220,definition,
( spl9_74
<=> sz00 = xr ),
introduced(definition,[new_symbols(definition,[spl9_74])],[avatar_definition]) ).
fof(f1222,plain,
( sz00 = xr
| ~ spl9_74 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1378,plain,
( sz00 = xr
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f248,f235]) ).
fof(f1388,plain,
( sz00 = xr
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1378,f229]) ).
fof(f1393,plain,
( sz00 = xr
| aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[],[f1388,f212]) ).
fof(f1397,plain,
( aNaturalNumber0(sF6)
| sz00 = xr ),
inference(forward_demodulation,[],[f1393,f257]) ).
fof(f1401,plain,
( sz00 = xr
| spl9_9 ),
inference(forward_subsumption_resolution,[],[f1397,f363]) ).
fof(f1405,plain,
( spl9_74
| spl9_9 ),
inference(avatar_split_clause,[],[f1401,f361,f1220]) ).
fof(f1784,plain,
! [X0] :
( sF4 != sdtpldt0(X0,xm)
| xn = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f159,f253]) ).
fof(f1786,plain,
! [X0] :
( sF5 != sdtpldt0(X0,xp)
| sF4 = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF4) ),
inference(superposition,[],[f159,f255]) ).
fof(f1791,plain,
! [X0] :
( sF5 != sdtpldt0(X0,xp)
| sF4 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF4) ),
inference(forward_subsumption_resolution,[],[f1786,f210]) ).
fof(f1793,plain,
! [X0] :
( sF4 != sdtpldt0(X0,xm)
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1784,f211]) ).
fof(f1805,plain,
( ! [X0] :
( sF5 != sdtpldt0(X0,xp)
| sF4 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl9_10 ),
inference(forward_subsumption_resolution,[],[f1791,f367]) ).
fof(f1807,plain,
! [X0] :
( sF4 != sdtpldt0(X0,xm)
| xn = X0
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1793,f212]) ).
fof(f2280,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xm),sF4)
| ~ aNaturalNumber0(xm)
| xn = X0
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f177,f253]) ).
fof(f2282,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xp),sF5)
| ~ aNaturalNumber0(xp)
| sF4 = X0
| ~ sdtlseqdt0(X0,sF4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF4) ),
inference(superposition,[],[f177,f255]) ).
fof(f2285,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xp),sF5)
| sF4 = X0
| ~ sdtlseqdt0(X0,sF4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF4) ),
inference(forward_subsumption_resolution,[],[f2282,f210]) ).
fof(f2287,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xm),sF4)
| xn = X0
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f2280,f211]) ).
fof(f2305,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xp),sF5)
| sF4 = X0
| ~ sdtlseqdt0(X0,sF4)
| ~ aNaturalNumber0(X0) )
| ~ spl9_10 ),
inference(forward_subsumption_resolution,[],[f2285,f367]) ).
fof(f2307,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xm),sF4)
| xn = X0
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f2287,f212]) ).
fof(f2931,plain,
( isPrime0(sz00)
| ~ spl9_74 ),
inference(superposition,[],[f227,f1222]) ).
fof(f2951,plain,
( $false
| spl9_6
| ~ spl9_74 ),
inference(forward_subsumption_resolution,[],[f2931,f289]) ).
fof(f2952,plain,
( spl9_6
| ~ spl9_74 ),
inference(avatar_contradiction_clause,[],[f2951]) ).
fof(f13224,plain,
( sF5 != sF8
| sF4 = sF7
| ~ aNaturalNumber0(sF7)
| ~ spl9_10 ),
inference(superposition,[],[f1805,f261]) ).
fof(f13225,plain,
( sF5 != sF8
| sF4 = sF7
| ~ spl9_7
| ~ spl9_10 ),
inference(forward_subsumption_resolution,[],[f13224,f353]) ).
fof(f13230,definition,
( spl9_429
<=> sF4 = sF7 ),
introduced(definition,[new_symbols(definition,[spl9_429])],[avatar_definition]) ).
fof(f13231,plain,
( sF4 != sF7
| spl9_429 ),
inference(avatar_component_clause,[],[f13230]) ).
fof(f13292,plain,
( spl9_429
| ~ spl9_2
| ~ spl9_7
| ~ spl9_10 ),
inference(avatar_split_clause,[],[f13225,f366,f352,f269,f13230]) ).
fof(f13370,plain,
( sF4 != sF7
| xn = sF6
| ~ aNaturalNumber0(sF6) ),
inference(superposition,[],[f1807,f259]) ).
fof(f13371,plain,
( sF4 != sF7
| ~ aNaturalNumber0(sF6) ),
inference(forward_subsumption_resolution,[],[f13370,f293]) ).
fof(f13375,plain,
( sF4 != sF7
| ~ spl9_9 ),
inference(forward_subsumption_resolution,[],[f13371,f362]) ).
fof(f13377,plain,
( ~ spl9_429
| ~ spl9_9 ),
inference(avatar_split_clause,[],[f13375,f361,f13230]) ).
fof(f25208,plain,
( sdtlseqdt0(sF8,sF5)
| sF4 = sF7
| ~ sdtlseqdt0(sF7,sF4)
| ~ aNaturalNumber0(sF7)
| ~ spl9_10 ),
inference(superposition,[],[f2305,f261]) ).
fof(f25209,plain,
( sF4 = sF7
| ~ sdtlseqdt0(sF7,sF4)
| ~ aNaturalNumber0(sF7)
| spl9_1
| ~ spl9_10 ),
inference(forward_subsumption_resolution,[],[f25208,f267]) ).
fof(f25219,plain,
( ~ sdtlseqdt0(sF7,sF4)
| ~ aNaturalNumber0(sF7)
| spl9_1
| ~ spl9_10
| spl9_429 ),
inference(forward_subsumption_resolution,[],[f25209,f13231]) ).
fof(f25229,plain,
( ~ sdtlseqdt0(sF7,sF4)
| spl9_1
| ~ spl9_7
| ~ spl9_10
| spl9_429 ),
inference(forward_subsumption_resolution,[],[f25219,f353]) ).
fof(f25300,plain,
( sdtlseqdt0(sF7,sF4)
| xn = sF6
| ~ sdtlseqdt0(sF6,xn)
| ~ aNaturalNumber0(sF6) ),
inference(superposition,[],[f2307,f259]) ).
fof(f25301,plain,
( sdtlseqdt0(sF7,sF4)
| ~ sdtlseqdt0(sF6,xn)
| ~ aNaturalNumber0(sF6) ),
inference(forward_subsumption_resolution,[],[f25300,f293]) ).
fof(f25312,plain,
( sdtlseqdt0(sF7,sF4)
| ~ aNaturalNumber0(sF6) ),
inference(forward_subsumption_resolution,[],[f25301,f294]) ).
fof(f25322,plain,
( sdtlseqdt0(sF7,sF4)
| ~ spl9_9 ),
inference(forward_subsumption_resolution,[],[f25312,f362]) ).
fof(f25379,plain,
( $false
| spl9_1
| ~ spl9_7
| ~ spl9_9
| ~ spl9_10
| spl9_429 ),
inference(forward_subsumption_resolution,[],[f25322,f25229]) ).
fof(f25380,plain,
( spl9_1
| ~ spl9_7
| ~ spl9_9
| ~ spl9_10
| spl9_429 ),
inference(avatar_contradiction_clause,[],[f25379]) ).
cnf(s1,plain,
( ~ spl9_1
| spl9_2 ),
inference(sat_conversion,[],[f272]) ).
cnf(s3,plain,
( ~ spl9_5
| ~ spl9_6 ),
inference(sat_conversion,[],[f290]) ).
cnf(s5,plain,
spl9_5,
inference(sat_conversion,[],[f292]) ).
cnf(s7,plain,
( spl9_7
| ~ spl9_9 ),
inference(sat_conversion,[],[f364]) ).
cnf(s9,plain,
spl9_10,
inference(sat_conversion,[],[f375]) ).
cnf(s51,plain,
( spl9_9
| spl9_74 ),
inference(sat_conversion,[],[f1405]) ).
cnf(s88,plain,
( spl9_6
| ~ spl9_74 ),
inference(sat_conversion,[],[f2952]) ).
cnf(s252,plain,
( ~ spl9_2
| ~ spl9_7
| ~ spl9_10
| spl9_429 ),
inference(sat_conversion,[],[f13292]) ).
cnf(s253,plain,
( ~ spl9_9
| ~ spl9_429 ),
inference(sat_conversion,[],[f13377]) ).
cnf(s542,plain,
( spl9_1
| ~ spl9_7
| ~ spl9_9
| ~ spl9_10
| spl9_429 ),
inference(sat_conversion,[],[f25380]) ).
cnf(s565,plain,
~ spl9_6,
inference(rat,[],[s3,s5]) ).
cnf(s566,plain,
~ spl9_74,
inference(rat,[],[s88,s565]) ).
cnf(s568,plain,
spl9_9,
inference(rat,[],[s51,s566]) ).
cnf(s569,plain,
~ spl9_429,
inference(rat,[],[s253,s568]) ).
cnf(s572,plain,
spl9_7,
inference(rat,[],[s7,s568]) ).
cnf(s575,plain,
spl9_1,
inference(rat,[],[s542,s569,s9,s568,s572]) ).
cnf(s576,plain,
~ spl9_2,
inference(rat,[],[s252,s569,s9,s572]) ).
cnf(s580,plain,
$false,
inference(rat,[],[s1,s576,s575]) ).
fof(f25895,plain,
$false,
inference(avatar_sat_refutation,[],[s580]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM516+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.45 % Computer : n020.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sun Sep 27 20:18:34 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.21/0.50 Running first-order model finding
% 0.21/0.50 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
% 10.97/2.10 % (3714500)Will run a generic schedule for satisfiability detection.
% 10.97/2.10 % (3714505)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2881996290_2999 on theBenchmark for (2999ds/0Mi)
% 10.97/2.10 % Detected minimum model sizes of [3]
% 10.97/2.10 % Detected maximum model sizes of [max]
% 10.97/2.10 % TRYING [3]
% 10.97/2.10 % (3714509)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2839292032:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 10.97/2.10 % (3714506)% WARNING: option uhcvi not known.
% 10.97/2.10 % (3714511)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=884771572:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 10.97/2.10 % (3714510)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=974166247:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 10.97/2.10 % (3714507)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4256894680:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 10.97/2.10 % TRYING [4]
% 10.97/2.10 % (3714506)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2788479969:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 10.97/2.10 % (3714508)dis+10_1_sil=32000:sp=arity:random_seed=2580404287:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 10.97/2.10 % TRYING [5]
% 10.97/2.10 % (3714508)Instruction limit reached!
% 10.97/2.10 % (3714508)------------------------------
% 10.97/2.10 % (3714508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.10 % (3714508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.10 % (3714508)CaDiCaL version: 2.1.3
% 10.97/2.10 % (3714508)Termination reason: Instruction limit
% 10.97/2.10 % (3714508)Termination phase: Saturation
% 10.97/2.10 % (3714508)Time elapsed: 0.104 s
% 10.97/2.10 % (3714508)Peak memory usage: 13 MB
% 10.97/2.10 % (3714508)Instructions burned: 103 (million)
% 10.97/2.10 % (3714509)Instruction limit reached!
% 10.97/2.10 % (3714509)------------------------------
% 10.97/2.10 % (3714509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.10 % (3714509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.10 % (3714509)CaDiCaL version: 2.1.3
% 10.97/2.10 % (3714509)Termination reason: Instruction limit
% 10.97/2.10 % (3714509)Termination phase: Saturation
% 10.97/2.10 % (3714509)Time elapsed: 0.113 s
% 10.97/2.10 % (3714509)Peak memory usage: 13 MB
% 10.97/2.10 % (3714509)Instructions burned: 117 (million)
% 10.97/2.10 % TRYING [6]
% 10.97/2.10 % (3714510)Instruction limit reached!
% 10.97/2.10 % (3714510)------------------------------
% 10.97/2.10 % (3714510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.10 % (3714510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.10 % (3714510)CaDiCaL version: 2.1.3
% 10.97/2.10 % (3714510)Termination reason: Instruction limit
% 10.97/2.10 % (3714510)Termination phase: Saturation
% 10.97/2.10 % (3714510)Time elapsed: 0.127 s
% 10.97/2.10 % (3714510)Peak memory usage: 14 MB
% 10.97/2.10 % (3714510)Instructions burned: 131 (million)
% 10.97/2.10 % (3714519)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2768523256:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 10.97/2.10 % (3714520)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=700313555:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 10.97/2.11 % (3714511)Instruction limit reached!
% 10.97/2.11 % (3714511)------------------------------
% 10.97/2.11 % (3714511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.11 % (3714511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.11 % (3714511)CaDiCaL version: 2.1.3
% 10.97/2.11 % (3714511)Termination reason: Instruction limit
% 10.97/2.11 % (3714511)Termination phase: Saturation
% 10.97/2.11 % (3714511)Time elapsed: 0.147 s
% 10.97/2.11 % (3714511)Peak memory usage: 14 MB
% 10.97/2.11 % (3714511)Instructions burned: 159 (million)
% 10.97/2.11 % Detected minimum model sizes of [3]
% 10.97/2.11 % Detected maximum model sizes of [max]
% 10.97/2.11 % TRYING [3]
% 10.97/2.11 % (3714521)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=1746834550:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 10.97/2.11 % TRYING [4]
% 10.97/2.11 % (3714524)ott-21_1_sil=16000:fs=off:random_seed=538620081:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 10.97/2.11 % TRYING [5]
% 10.97/2.11 % (3714520)Instruction limit reached!
% 10.97/2.11 % (3714520)------------------------------
% 10.97/2.11 % (3714520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.11 % (3714520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.11 % (3714520)CaDiCaL version: 2.1.3
% 10.97/2.11 % (3714520)Termination reason: Instruction limit
% 10.97/2.11 % (3714520)Termination phase: Saturation
% 10.97/2.11 % (3714520)Time elapsed: 0.100 s
% 10.97/2.11 % (3714520)Peak memory usage: 12 MB
% 10.97/2.11 % (3714520)Instructions burned: 132 (million)
% 10.97/2.11 % (3714527)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=782988638:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 10.97/2.11 % TRYING [7]
% 10.97/2.11 % (3714524)Instruction limit reached!
% 10.97/2.11 % (3714524)------------------------------
% 10.97/2.11 % (3714524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.11 % (3714524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.11 % (3714524)CaDiCaL version: 2.1.3
% 10.97/2.11 % (3714524)Termination reason: Instruction limit
% 10.97/2.11 % (3714524)Termination phase: Saturation
% 10.97/2.11 % (3714524)Time elapsed: 0.155 s
% 10.97/2.11 % (3714524)Peak memory usage: 13 MB
% 10.97/2.11 % (3714524)Instructions burned: 181 (million)
% 10.97/2.11 % TRYING [6]
% 10.97/2.11 % (3714529)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3122810204:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 10.97/2.11 % Detected minimum model sizes of [3]
% 10.97/2.11 % Detected maximum model sizes of [max]
% 10.97/2.11 % TRYING [3]
% 10.97/2.11 % TRYING [4]
% 10.97/2.11 % TRYING [5]
% 10.97/2.11 % (3714519)Instruction limit reached!
% 10.97/2.11 % (3714519)------------------------------
% 10.97/2.11 % (3714519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.11 % (3714519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.11 % (3714519)CaDiCaL version: 2.1.3
% 10.97/2.11 % (3714519)Termination reason: Instruction limit
% 10.97/2.11 % (3714519)Termination phase: Finite model building constraint generation
% 10.97/2.11 % (3714519)Time elapsed: 0.514 s
% 10.97/2.11 % (3714519)Peak memory usage: 34 MB
% 10.97/2.11 % (3714519)Instructions burned: 715 (million)
% 10.97/2.11 % (3714531)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2805748180:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 10.97/2.11 % TRYING [8]
% 10.97/2.11 % (3714527)Instruction limit reached!
% 10.97/2.11 % (3714527)------------------------------
% 10.97/2.11 % (3714527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.11 % (3714527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.11 % (3714527)CaDiCaL version: 2.1.3
% 10.97/2.11 % (3714527)Termination reason: Instruction limit
% 10.97/2.11 % (3714527)Termination phase: Saturation
% 10.97/2.11 % (3714527)Time elapsed: 0.504 s
% 10.97/2.11 % (3714527)Peak memory usage: 14 MB
% 10.97/2.11 % (3714527)Instructions burned: 477 (million)
% 10.97/2.11 % (3714521)Instruction limit reached!
% 10.97/2.11 % (3714521)------------------------------
% 10.97/2.11 % (3714521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.11 % (3714521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.11 % (3714521)CaDiCaL version: 2.1.3
% 10.97/2.11 % (3714521)Termination reason: Instruction limit
% 10.97/2.11 % (3714521)Termination phase: Saturation
% 10.97/2.11 % (3714521)Time elapsed: 0.624 s
% 10.97/2.11 % (3714521)Peak memory usage: 19 MB
% 10.97/2.11 % (3714521)Instructions burned: 684 (million)
% 10.97/2.11 % (3714534)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=3323885131:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 10.97/2.11 % (3714533)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1801918985:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 10.97/2.11 % (3714529)Instruction limit reached!
% 10.97/2.11 % (3714529)------------------------------
% 10.97/2.11 % (3714529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.11 % (3714529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.11 % (3714529)CaDiCaL version: 2.1.3
% 10.97/2.11 % (3714529)Termination reason: Instruction limit
% 10.97/2.11 % (3714529)Termination phase: Finite model building constraint generation
% 10.97/2.11 % (3714529)Time elapsed: 0.602 s
% 10.97/2.11 % (3714529)Peak memory usage: 22 MB
% 10.97/2.11 % (3714529)Instructions burned: 866 (million)
% 10.97/2.11 % (3714537)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1007770979:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 10.97/2.11 % TRYING [14]
% 10.97/2.11 % (3714534)Instruction limit reached!
% 10.97/2.11 % (3714534)------------------------------
% 10.97/2.11 % (3714534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.11 % (3714534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.11 % (3714534)CaDiCaL version: 2.1.3
% 10.97/2.11 % (3714534)Termination reason: Instruction limit
% 10.97/2.11 % (3714534)Termination phase: Saturation
% 10.97/2.11 % (3714534)Time elapsed: 0.608 s
% 10.97/2.11 % (3714534)Peak memory usage: 22 MB
% 10.97/2.11 % (3714534)Instructions burned: 692 (million)
% 10.97/2.11 % (3714541)fmb+10_1_sil=64000:random_seed=2972286831:i=22061:nm=2:gsp=on_2985 on theBenchmark for (2985ds/22061Mi)
% 10.97/2.11 % (3714533)Instruction limit reached!
% 10.97/2.11 % (3714533)------------------------------
% 10.97/2.11 % (3714533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.11 % (3714533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.11 % (3714533)CaDiCaL version: 2.1.3
% 10.97/2.11 % (3714533)Termination reason: Instruction limit
% 10.97/2.11 % (3714533)Termination phase: Finite model building constraint generation
% 10.97/2.11 % (3714533)Time elapsed: 0.654 s
% 10.97/2.11 % (3714533)Peak memory usage: 80 MB
% 10.97/2.11 % (3714533)Instructions burned: 891 (million)
% 10.97/2.11 % Detected minimum model sizes of [3]
% 10.97/2.11 % Detected maximum model sizes of [max]
% 10.97/2.11 % TRYING [3]
% 10.97/2.11 % TRYING [9]
% 10.97/2.11 % TRYING [4]
% 10.97/2.11 % (3714531) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3714500-3714531"...
% 10.97/2.11 % (3714543)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4217826880:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 10.97/2.11 % (3714531)...printing done.
% 10.97/2.11 % (3714531)Refutation found. Thanks to Tanya!
% 10.97/2.11 % SZS status Theorem for theBenchmark
% 10.97/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 10.97/2.11 % (3714531)------------------------------
% 10.97/2.11 % (3714531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.97/2.11 % (3714531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.11 % (3714531)CaDiCaL version: 2.1.3
% 10.97/2.11 % (3714531)Termination reason: Refutation
% 10.97/2.11 % (3714531)Time elapsed: 0.823 s
% 10.97/2.11 % (3714531)Peak memory usage: 23 MB
% 10.97/2.11 % (3714531)Instructions burned: 945 (million)
% 10.97/2.11 % (3714500)Success in time 1.595 s
% 10.97/2.11 % Vampire exiting
%------------------------------------------------------------------------------