%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM510+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 : n018.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 2.10s 0.86s
% Output : Refutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 36
% Syntax : Number of formulae : 229 ( 45 unt; 18 def)
% Number of atoms : 647 ( 169 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 731 ( 313 ~; 345 |; 33 &)
% ( 27 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 19 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn 94 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
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(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f46,axiom,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
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,conjecture,
( sdtsldt0(xn,xr) != xn
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f54,negated_conjecture,
~ ( sdtsldt0(xn,xr) != xn
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f58,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f59,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f58]) ).
fof(f65,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f66,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f65]) ).
fof(f69,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f70,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f79,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f80,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f79]) ).
fof(f98,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f99,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f98]) ).
fof(f104,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f105,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f104]) ).
fof(f106,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(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(flattening,[],[f106]) ).
fof(f118,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(f119,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f118]) ).
fof(f124,plain,
( sz00 != xk
& sz10 != xk ),
inference(ennf_transformation,[],[f46]) ).
fof(f125,plain,
( xn = sdtsldt0(xn,xr)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(ennf_transformation,[],[f54]) ).
fof(f126,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f138,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f139,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f140,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f70]) ).
fof(f149,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f170,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtsldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f188,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 != X0
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f189,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != X0
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f193,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f194,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f195,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f197,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f198,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f205,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f207,plain,
sz00 != xk,
inference(cnf_transformation,[],[f124]) ).
fof(f210,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f212,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f218,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f219,plain,
( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| xn = sdtsldt0(xn,xr) ),
inference(cnf_transformation,[],[f125]) ).
fof(f225,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f174]) ).
fof(f226,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f177]) ).
fof(f227,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f176]) ).
fof(f228,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f175]) ).
fof(f229,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f189]) ).
fof(f230,plain,
( ~ aNaturalNumber0(sz10)
| ~ isPrime0(sz10) ),
inference(equality_resolution,[],[f188]) ).
fof(f251,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f170]) ).
fof(f254,plain,
( ~ aNaturalNumber0(sz00)
| isPrime0(sz00) ),
inference(consistent_polarity_flipping,[],[f229]) ).
fof(f255,plain,
( ~ aNaturalNumber0(sz10)
| isPrime0(sz10) ),
inference(consistent_polarity_flipping,[],[f230]) ).
fof(f263,plain,
~ isPrime0(xp),
inference(consistent_polarity_flipping,[],[f198]) ).
fof(f268,plain,
~ isPrime0(xr),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f271,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| xn = sdtsldt0(xn,xr) ),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f274,definition,
( spl4_1
<=> xn = sdtsldt0(xn,xr) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f276,plain,
( xn = sdtsldt0(xn,xr)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f278,definition,
( spl4_2
<=> sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f280,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f281,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f271,f278,f274]) ).
fof(f283,definition,
( spl4_3
<=> doDivides0(xr,xn) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f285,plain,
( doDivides0(xr,xn)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f292,definition,
( spl4_5
<=> isPrime0(sz10) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f294,plain,
( isPrime0(sz10)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f296,definition,
( spl4_6
<=> aNaturalNumber0(sz10) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f297,plain,
( aNaturalNumber0(sz10)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f299,plain,
( spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f255,f296,f292]) ).
fof(f301,definition,
( spl4_7
<=> isPrime0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f303,plain,
( isPrime0(sz00)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f305,definition,
( spl4_8
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f308,plain,
( spl4_7
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f254,f305,f301]) ).
fof(f309,plain,
spl4_6,
inference(avatar_split_clause,[],[f128,f296]) ).
fof(f310,plain,
spl4_8,
inference(avatar_split_clause,[],[f126,f305]) ).
fof(f311,plain,
spl4_3,
inference(avatar_split_clause,[],[f218,f283]) ).
fof(f332,plain,
xn = sdtasdt0(xn,sz10),
inference(resolution,[],[f138,f195]) ).
fof(f339,plain,
sz00 = sdtasdt0(sz00,xm),
inference(resolution,[],[f139,f194]) ).
fof(f347,plain,
sz00 = sdtasdt0(xr,sz00),
inference(resolution,[],[f140,f212]) ).
fof(f356,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(resolution,[],[f130,f195]) ).
fof(f369,definition,
( spl4_10
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f370,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f384,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xr,X0) = sdtasdt0(X0,xr) ),
inference(resolution,[],[f135,f212]) ).
fof(f394,definition,
( spl4_11
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f409,definition,
( spl4_14
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f410,plain,
( aNaturalNumber0(xk)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f411,plain,
( ~ aNaturalNumber0(xk)
| spl4_14 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f428,definition,
( spl4_17
<=> sz10 = xr ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f429,plain,
( sz10 != xr
| spl4_17 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f430,plain,
( sz10 = xr
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f432,definition,
( spl4_18
<=> sz00 = xr ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f433,plain,
( sz00 != xr
| spl4_18 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f434,plain,
( sz00 = xr
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f445,definition,
( spl4_21
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f446,plain,
( sz00 != xp
| spl4_21 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f447,plain,
( sz00 = xp
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f471,definition,
( spl4_27
<=> sz00 = xn ),
introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).
fof(f472,plain,
( sz00 != xn
| spl4_27 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( sz00 = xn
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f509,plain,
( ~ isPrime0(sz10)
| ~ spl4_17 ),
inference(superposition,[],[f268,f430]) ).
fof(f515,plain,
( $false
| ~ spl4_5
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f509,f294]) ).
fof(f516,plain,
( ~ spl4_5
| ~ spl4_17 ),
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f529,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f225,f130]) ).
fof(f533,plain,
( ~ isPrime0(sz00)
| ~ spl4_18 ),
inference(superposition,[],[f268,f434]) ).
fof(f540,plain,
( $false
| ~ spl4_7
| ~ spl4_18 ),
inference(forward_subsumption_resolution,[],[f533,f303]) ).
fof(f541,plain,
( ~ spl4_7
| ~ spl4_18 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f627,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(resolution,[],[f227,f197]) ).
fof(f629,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| sz00 = xr
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_3 ),
inference(resolution,[],[f227,f285]) ).
fof(f636,plain,
( ~ aNaturalNumber0(xn)
| sz00 = xr
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f629,f212]) ).
fof(f637,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f627,f193]) ).
fof(f644,plain,
( sz00 = xr
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f636,f195]) ).
fof(f645,plain,
( aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp ),
inference(forward_demodulation,[],[f637,f205]) ).
fof(f646,plain,
( spl4_10
| spl4_18
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f644,f283,f432,f369]) ).
fof(f647,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| spl4_14 ),
inference(forward_subsumption_resolution,[],[f645,f411]) ).
fof(f648,plain,
( spl4_21
| ~ spl4_11
| spl4_14 ),
inference(avatar_split_clause,[],[f647,f409,f394,f445]) ).
fof(f690,definition,
( spl4_39
<=> sz00 = sdtsldt0(xn,xr) ),
introduced(definition,[new_symbols(definition,[spl4_39])],[avatar_definition]) ).
fof(f691,plain,
( sz00 != sdtsldt0(xn,xr)
| spl4_39 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f692,plain,
( sz00 = sdtsldt0(xn,xr)
| ~ spl4_39 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f880,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(resolution,[],[f228,f197]) ).
fof(f882,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| sz00 = xr
| xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| ~ spl4_3 ),
inference(resolution,[],[f228,f285]) ).
fof(f889,plain,
( ~ aNaturalNumber0(xn)
| sz00 = xr
| xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f882,f212]) ).
fof(f890,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f880,f193]) ).
fof(f897,plain,
( sz00 = xr
| xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f889,f195]) ).
fof(f898,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp ),
inference(forward_demodulation,[],[f890,f205]) ).
fof(f900,definition,
( spl4_53
<=> xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
introduced(definition,[new_symbols(definition,[spl4_53])],[avatar_definition]) ).
fof(f902,plain,
( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| ~ spl4_53 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f903,plain,
( spl4_53
| spl4_18
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f897,f283,f432,f900]) ).
fof(f905,definition,
( spl4_54
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,xk) ),
introduced(definition,[new_symbols(definition,[spl4_54])],[avatar_definition]) ).
fof(f907,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ spl4_54 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f908,plain,
( spl4_21
| ~ spl4_11
| spl4_54 ),
inference(avatar_split_clause,[],[f898,f905,f394,f445]) ).
fof(f1014,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f226,f130]) ).
fof(f1015,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f1014,f529]) ).
fof(f1017,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = sdtsldt0(sdtasdt0(X0,sz10),X0) )
| ~ spl4_6 ),
inference(resolution,[],[f1015,f297]) ).
fof(f1022,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| xr = sdtsldt0(sdtasdt0(X0,xr),X0) ),
inference(resolution,[],[f1015,f212]) ).
fof(f1148,plain,
( ~ isPrime0(sz00)
| ~ spl4_21 ),
inference(superposition,[],[f263,f447]) ).
fof(f1157,plain,
( $false
| ~ spl4_7
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f1148,f303]) ).
fof(f1158,plain,
( ~ spl4_7
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f1157]) ).
fof(f1477,definition,
( spl4_80
<=> sz10 = sdtsldt0(xn,xn) ),
introduced(definition,[new_symbols(definition,[spl4_80])],[avatar_definition]) ).
fof(f1479,plain,
( sz10 = sdtsldt0(xn,xn)
| ~ spl4_80 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f2733,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(resolution,[],[f356,f194]) ).
fof(f3004,plain,
spl4_11,
inference(avatar_split_clause,[],[f2733,f394]) ).
fof(f4107,plain,
( sdtasdt0(sz00,xm) = sdtasdt0(xp,xk)
| ~ spl4_27
| ~ spl4_54 ),
inference(forward_demodulation,[],[f907,f473]) ).
fof(f4108,plain,
( sz00 = sdtasdt0(xp,xk)
| ~ spl4_27
| ~ spl4_54 ),
inference(forward_demodulation,[],[f4107,f339]) ).
fof(f4113,plain,
( sz00 != sz00
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| sz00 = xk
| sz00 = xp
| ~ spl4_27
| ~ spl4_54 ),
inference(superposition,[],[f149,f4108]) ).
fof(f4120,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| sz00 = xk
| sz00 = xp
| ~ spl4_27
| ~ spl4_54 ),
inference(trivial_inequality_removal,[],[f4113]) ).
fof(f4126,plain,
( ~ aNaturalNumber0(xk)
| sz00 = xk
| sz00 = xp
| ~ spl4_27
| ~ spl4_54 ),
inference(forward_subsumption_resolution,[],[f4120,f193]) ).
fof(f4136,plain,
( sz00 = xk
| sz00 = xp
| ~ spl4_14
| ~ spl4_27
| ~ spl4_54 ),
inference(forward_subsumption_resolution,[],[f4126,f410]) ).
fof(f4146,plain,
( sz00 = xp
| ~ spl4_14
| ~ spl4_27
| ~ spl4_54 ),
inference(forward_subsumption_resolution,[],[f4136,f207]) ).
fof(f4151,plain,
( $false
| ~ spl4_14
| spl4_21
| ~ spl4_27
| ~ spl4_54 ),
inference(forward_subsumption_resolution,[],[f4146,f446]) ).
fof(f4152,plain,
( ~ spl4_14
| spl4_21
| ~ spl4_27
| ~ spl4_54 ),
inference(avatar_contradiction_clause,[],[f4151]) ).
fof(f5630,plain,
( xn = sdtasdt0(xr,sz00)
| ~ spl4_39
| ~ spl4_53 ),
inference(forward_demodulation,[],[f902,f692]) ).
fof(f5631,plain,
( sz00 = xn
| ~ spl4_39
| ~ spl4_53 ),
inference(forward_demodulation,[],[f5630,f347]) ).
fof(f5632,plain,
( $false
| spl4_27
| ~ spl4_39
| ~ spl4_53 ),
inference(forward_subsumption_resolution,[],[f5631,f472]) ).
fof(f5633,plain,
( spl4_27
| ~ spl4_39
| ~ spl4_53 ),
inference(avatar_contradiction_clause,[],[f5632]) ).
fof(f6054,plain,
( sdtasdt0(xr,sdtsldt0(xn,xr)) = sdtasdt0(sdtsldt0(xn,xr),xr)
| ~ spl4_10 ),
inference(resolution,[],[f384,f370]) ).
fof(f6077,plain,
( xn = sdtasdt0(sdtsldt0(xn,xr),xr)
| ~ spl4_10
| ~ spl4_53 ),
inference(forward_demodulation,[],[f6054,f902]) ).
fof(f12187,plain,
( sz00 = sdtsldt0(xn,xr)
| xr = sdtsldt0(sdtasdt0(sdtsldt0(xn,xr),xr),sdtsldt0(xn,xr))
| ~ spl4_10 ),
inference(resolution,[],[f1022,f370]) ).
fof(f12268,plain,
( xr = sdtsldt0(sdtasdt0(sdtsldt0(xn,xr),xr),sdtsldt0(xn,xr))
| ~ spl4_10
| spl4_39 ),
inference(forward_subsumption_resolution,[],[f12187,f691]) ).
fof(f12306,plain,
( xr = sdtsldt0(sdtasdt0(xn,xr),xn)
| ~ spl4_1
| ~ spl4_10
| spl4_39 ),
inference(forward_demodulation,[],[f12268,f276]) ).
fof(f12792,plain,
( sz00 = xn
| sz10 = sdtsldt0(sdtasdt0(xn,sz10),xn)
| ~ spl4_6 ),
inference(resolution,[],[f1017,f195]) ).
fof(f12864,plain,
( sz10 = sdtsldt0(sdtasdt0(xn,sz10),xn)
| ~ spl4_6
| spl4_27 ),
inference(forward_subsumption_resolution,[],[f12792,f472]) ).
fof(f12911,plain,
( sz10 = sdtsldt0(xn,xn)
| ~ spl4_6
| spl4_27 ),
inference(forward_demodulation,[],[f12864,f332]) ).
fof(f12915,plain,
( spl4_80
| ~ spl4_6
| spl4_27 ),
inference(avatar_split_clause,[],[f12911,f471,f296,f1477]) ).
fof(f18337,plain,
( xn = sdtasdt0(xn,xr)
| ~ spl4_1
| ~ spl4_10
| ~ spl4_53 ),
inference(forward_demodulation,[],[f6077,f276]) ).
fof(f18943,plain,
( xr = sdtsldt0(xn,xn)
| ~ spl4_1
| ~ spl4_10
| spl4_39
| ~ spl4_53 ),
inference(forward_demodulation,[],[f12306,f18337]) ).
fof(f18944,plain,
( sz10 = xr
| ~ spl4_1
| ~ spl4_10
| spl4_39
| ~ spl4_53
| ~ spl4_80 ),
inference(forward_demodulation,[],[f18943,f1479]) ).
fof(f18945,plain,
( $false
| ~ spl4_1
| ~ spl4_10
| spl4_17
| spl4_39
| ~ spl4_53
| ~ spl4_80 ),
inference(forward_subsumption_resolution,[],[f18944,f429]) ).
fof(f18946,plain,
( ~ spl4_1
| ~ spl4_10
| spl4_17
| spl4_39
| ~ spl4_53
| ~ spl4_80 ),
inference(avatar_contradiction_clause,[],[f18945]) ).
fof(f25236,plain,
( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(xr)
| sz00 = xr
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_10
| ~ spl4_53 ),
inference(superposition,[],[f251,f6077]) ).
fof(f25239,plain,
( ~ aNaturalNumber0(xr)
| sz00 = xr
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_2
| ~ spl4_10
| ~ spl4_53 ),
inference(forward_subsumption_resolution,[],[f25236,f280]) ).
fof(f25249,plain,
( sz00 = xr
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_2
| ~ spl4_10
| ~ spl4_53 ),
inference(forward_subsumption_resolution,[],[f25239,f212]) ).
fof(f25260,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_2
| ~ spl4_10
| spl4_18
| ~ spl4_53 ),
inference(forward_subsumption_resolution,[],[f25249,f433]) ).
fof(f25269,plain,
( $false
| ~ spl4_2
| ~ spl4_10
| spl4_18
| ~ spl4_53 ),
inference(forward_subsumption_resolution,[],[f25260,f370]) ).
fof(f25270,plain,
( ~ spl4_2
| ~ spl4_10
| spl4_18
| ~ spl4_53 ),
inference(avatar_contradiction_clause,[],[f25269]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f281]) ).
cnf(s3,plain,
( spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f299]) ).
cnf(s4,plain,
( spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f308]) ).
cnf(s5,plain,
spl4_6,
inference(sat_conversion,[],[f309]) ).
cnf(s6,plain,
spl4_8,
inference(sat_conversion,[],[f310]) ).
cnf(s7,plain,
spl4_3,
inference(sat_conversion,[],[f311]) ).
cnf(s17,plain,
( ~ spl4_5
| ~ spl4_17 ),
inference(sat_conversion,[],[f516]) ).
cnf(s18,plain,
( ~ spl4_7
| ~ spl4_18 ),
inference(sat_conversion,[],[f541]) ).
cnf(s27,plain,
( ~ spl4_3
| spl4_10
| spl4_18 ),
inference(sat_conversion,[],[f646]) ).
cnf(s28,plain,
( ~ spl4_11
| spl4_14
| spl4_21 ),
inference(sat_conversion,[],[f648]) ).
cnf(s39,plain,
( ~ spl4_3
| spl4_18
| spl4_53 ),
inference(sat_conversion,[],[f903]) ).
cnf(s40,plain,
( ~ spl4_11
| spl4_21
| spl4_54 ),
inference(sat_conversion,[],[f908]) ).
cnf(s52,plain,
( ~ spl4_7
| ~ spl4_21 ),
inference(sat_conversion,[],[f1158]) ).
cnf(s105,plain,
spl4_11,
inference(sat_conversion,[],[f3004]) ).
cnf(s156,plain,
( ~ spl4_14
| spl4_21
| ~ spl4_27
| ~ spl4_54 ),
inference(sat_conversion,[],[f4152]) ).
cnf(s342,plain,
( spl4_27
| ~ spl4_39
| ~ spl4_53 ),
inference(sat_conversion,[],[f5633]) ).
cnf(s1273,plain,
( ~ spl4_6
| spl4_27
| spl4_80 ),
inference(sat_conversion,[],[f12915]) ).
cnf(s1793,plain,
( ~ spl4_1
| ~ spl4_10
| spl4_17
| spl4_39
| ~ spl4_53
| ~ spl4_80 ),
inference(sat_conversion,[],[f18946]) ).
cnf(s2440,plain,
( ~ spl4_2
| ~ spl4_10
| spl4_18
| ~ spl4_53 ),
inference(sat_conversion,[],[f25270]) ).
cnf(s2451,plain,
( spl4_21
| spl4_54 ),
inference(rat,[],[s40,s105]) ).
cnf(s2459,plain,
( spl4_14
| spl4_21 ),
inference(rat,[],[s28,s105]) ).
cnf(s2465,plain,
spl4_7,
inference(rat,[],[s4,s6]) ).
cnf(s2466,plain,
~ spl4_21,
inference(rat,[],[s52,s2465]) ).
cnf(s2467,plain,
~ spl4_18,
inference(rat,[],[s18,s2465]) ).
cnf(s2470,plain,
spl4_54,
inference(rat,[],[s2451,s2466]) ).
cnf(s2471,plain,
spl4_14,
inference(rat,[],[s2459,s2466]) ).
cnf(s2475,plain,
spl4_53,
inference(rat,[],[s39,s7,s2467]) ).
cnf(s2478,plain,
spl4_10,
inference(rat,[],[s27,s7,s2467]) ).
cnf(s2482,plain,
~ spl4_27,
inference(rat,[],[s156,s2470,s2466,s2471]) ).
cnf(s2490,plain,
~ spl4_2,
inference(rat,[],[s2440,s2475,s2467,s2478]) ).
cnf(s2512,plain,
spl4_80,
inference(rat,[],[s1273,s5,s2482]) ).
cnf(s2513,plain,
~ spl4_39,
inference(rat,[],[s342,s2475,s2482]) ).
cnf(s2556,plain,
spl4_5,
inference(rat,[],[s3,s5]) ).
cnf(s2558,plain,
~ spl4_17,
inference(rat,[],[s17,s2556]) ).
cnf(s2561,plain,
~ spl4_1,
inference(rat,[],[s1793,s2512,s2475,s2513,s2478,s2558]) ).
cnf(s2563,plain,
$false,
inference(rat,[],[s1,s2490,s2561]) ).
fof(f25271,plain,
$false,
inference(avatar_sat_refutation,[],[s2563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM510+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:18:09 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 2.10/0.86 % (2694958)Will run a generic schedule for satisfiability detection.
% 2.10/0.86 % (2694965)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2627970380:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.10/0.86 % (2694964)% WARNING: option uhcvi not known.
% 2.10/0.86 % (2694966)dis+10_1_sil=32000:sp=arity:random_seed=675484320:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.10/0.86 % (2694963)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3732231708_2999 on theBenchmark for (2999ds/0Mi)
% 2.10/0.86 % (2694964)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=601428897:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.10/0.86 % (2694968)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3375947190:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.10/0.86 % (2694967)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4199229133:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.10/0.86 % (2694969)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=119726631:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.10/0.86 % Detected minimum model sizes of [3]
% 2.10/0.86 % Detected maximum model sizes of [max]
% 2.10/0.86 % TRYING [3]
% 2.10/0.86 % TRYING [4]
% 2.10/0.86 % TRYING [5]
% 2.10/0.86 % (2694966)Instruction limit reached!
% 2.10/0.86 % (2694966)------------------------------
% 2.10/0.86 % (2694966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.86 % (2694966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.86 % (2694966)CaDiCaL version: 2.1.3
% 2.10/0.86 % (2694966)Termination reason: Instruction limit
% 2.10/0.86 % (2694966)Termination phase: Saturation
% 2.10/0.86 % (2694966)Time elapsed: 0.063 s
% 2.10/0.86 % (2694966)Peak memory usage: 13 MB
% 2.10/0.86 % (2694966)Instructions burned: 104 (million)
% 2.10/0.86 % (2694967)Instruction limit reached!
% 2.10/0.86 % (2694967)------------------------------
% 2.10/0.86 % (2694967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.86 % (2694967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.86 % (2694967)CaDiCaL version: 2.1.3
% 2.10/0.86 % (2694967)Termination reason: Instruction limit
% 2.10/0.86 % (2694967)Termination phase: Saturation
% 2.10/0.86 % (2694967)Time elapsed: 0.066 s
% 2.10/0.86 % (2694967)Peak memory usage: 13 MB
% 2.10/0.86 % (2694967)Instructions burned: 116 (million)
% 2.10/0.86 % (2694968)Instruction limit reached!
% 2.10/0.86 % (2694968)------------------------------
% 2.10/0.86 % (2694968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.86 % (2694968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.86 % (2694968)CaDiCaL version: 2.1.3
% 2.10/0.86 % (2694968)Termination reason: Instruction limit
% 2.10/0.86 % (2694968)Termination phase: Saturation
% 2.10/0.86 % (2694968)Time elapsed: 0.077 s
% 2.10/0.86 % (2694968)Peak memory usage: 14 MB
% 2.10/0.86 % (2694968)Instructions burned: 131 (million)
% 2.10/0.86 % (2694977)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2204129774:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.10/0.86 % (2694978)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4118389899:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.10/0.86 % Detected minimum model sizes of [3]
% 2.10/0.86 % Detected maximum model sizes of [max]
% 2.10/0.86 % TRYING [3]
% 2.10/0.86 % (2694979)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=1096264666:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.10/0.86 % TRYING [4]
% 2.10/0.86 % (2694969)Instruction limit reached!
% 2.10/0.86 % (2694969)------------------------------
% 2.10/0.86 % (2694969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.86 % (2694969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.86 % (2694969)CaDiCaL version: 2.1.3
% 2.10/0.86 % (2694969)Termination reason: Instruction limit
% 2.10/0.86 % (2694969)Termination phase: Saturation
% 2.10/0.86 % (2694969)Time elapsed: 0.098 s
% 2.10/0.86 % (2694969)Peak memory usage: 14 MB
% 2.10/0.86 % (2694969)Instructions burned: 160 (million)
% 2.10/0.86 % (2694983)ott-21_1_sil=16000:fs=off:random_seed=3418160283:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.10/0.86 % TRYING [6]
% 2.10/0.86 % TRYING [5]
% 2.10/0.86 % (2694978)Instruction limit reached!
% 2.10/0.86 % (2694978)------------------------------
% 2.10/0.86 % (2694978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.86 % (2694978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.86 % (2694978)CaDiCaL version: 2.1.3
% 2.10/0.86 % (2694978)Termination reason: Instruction limit
% 2.10/0.86 % (2694978)Termination phase: Saturation
% 2.10/0.86 % (2694978)Time elapsed: 0.069 s
% 2.10/0.86 % (2694978)Peak memory usage: 12 MB
% 2.10/0.86 % (2694978)Instructions burned: 131 (million)
% 2.10/0.86 % (2694985)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1129734317:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.10/0.86 % TRYING [6]
% 2.10/0.86 % (2694983)Instruction limit reached!
% 2.10/0.86 % (2694983)------------------------------
% 2.10/0.86 % (2694983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.86 % (2694983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.86 % (2694983)CaDiCaL version: 2.1.3
% 2.10/0.86 % (2694983)Termination reason: Instruction limit
% 2.10/0.86 % (2694983)Termination phase: Saturation
% 2.10/0.86 % (2694983)Time elapsed: 0.092 s
% 2.10/0.86 % (2694983)Peak memory usage: 13 MB
% 2.10/0.86 % (2694983)Instructions burned: 180 (million)
% 2.10/0.86 % (2694987)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=534809222:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.10/0.86 % Detected minimum model sizes of [3]
% 2.10/0.86 % Detected maximum model sizes of [max]
% 2.10/0.86 % TRYING [3]
% 2.10/0.86 % TRYING [4]
% 2.10/0.86 % TRYING [7]
% 2.10/0.86 % (2694977)Instruction limit reached!
% 2.10/0.86 % (2694977)------------------------------
% 2.10/0.86 % (2694977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.86 % (2694977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.86 % (2694977)CaDiCaL version: 2.1.3
% 2.10/0.86 % (2694977)Termination reason: Instruction limit
% 2.10/0.86 % (2694977)Termination phase: Finite model building constraint generation
% 2.10/0.86 % (2694977)Time elapsed: 0.255 s
% 2.10/0.86 % (2694977)Peak memory usage: 34 MB
% 2.10/0.86 % (2694977)Instructions burned: 715 (million)
% 2.10/0.86 % TRYING [5]
% 2.10/0.86 % (2694989)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1200716049:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.10/0.86 % (2694964) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2694958-2694964"...
% 2.10/0.86 % (2694964)...printing done.
% 2.10/0.86 % (2694964)Refutation found. Thanks to Tanya!
% 2.10/0.86 % SZS status Theorem for theBenchmark
% 2.10/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 2.10/0.87 % (2694964)------------------------------
% 2.10/0.87 % (2694964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.87 % (2694964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.87 % (2694964)CaDiCaL version: 2.1.3
% 2.10/0.87 % (2694964)Termination reason: Refutation
% 2.10/0.87 % (2694964)Time elapsed: 0.399 s
% 2.10/0.87 % (2694964)Peak memory usage: 24 MB
% 2.10/0.87 % (2694964)Instructions burned: 718 (million)
% 2.10/0.87 % (2694958)Success in time 0.442 s
% 2.10/0.87 % Vampire exiting
%------------------------------------------------------------------------------