%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM528+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 : n005.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 12:24:41 PM UTC 2026
% Result : Theorem 11.21s 3.95s
% Output : Refutation 11.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 26
% Syntax : Number of formulae : 172 ( 30 unt; 8 def)
% Number of atoms : 574 ( 182 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 666 ( 264 ~; 303 |; 73 &)
% ( 8 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 88 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
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(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).
fof(f43,axiom,
( xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3025) ).
fof(f44,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
fof(f45,axiom,
( aNaturalNumber0(xq)
& xn = sdtasdt0(xp,xq)
& xq = sdtsldt0(xn,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
fof(f46,axiom,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3082) ).
fof(f47,axiom,
( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xm )
| sdtlseqdt0(xn,xm) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtasdt0(xn,xn),X0) = sdtasdt0(xm,xm) )
& sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3152) ).
fof(f48,conjecture,
( xm != xn
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
| sdtlseqdt0(xm,xn) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f49,negated_conjecture,
~ ( xm != xn
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
| sdtlseqdt0(xm,xn) ) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f50,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xp,X1) )
& doDivides0(xp,xn) ),
inference(rectify,[],[f44]) ).
fof(f51,plain,
( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xm )
| sdtlseqdt0(xn,xm) )
=> ( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xn,xn),X1) )
& sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) ),
inference(rectify,[],[f47]) ).
fof(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f55]) ).
fof(f66,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f67,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f73,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f72]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f76]) ).
fof(f83,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f84,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f83]) ).
fof(f87,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f88,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f87]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f94,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f93]) ).
fof(f123,plain,
( xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp) ),
inference(ennf_transformation,[],[f43]) ).
fof(f124,plain,
( xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp) ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
( ( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xn,xn),X1) )
& sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) )
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtpldt0(xn,X0) )
& ~ sdtlseqdt0(xn,xm) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f126,plain,
( xn = xm
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(xm,X0) )
& ~ sdtlseqdt0(xm,xn) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f129,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f138,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f141,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f67]) ).
fof(f146,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f73]) ).
fof(f147,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f73]) ).
fof(f150,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f77]) ).
fof(f158,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f160,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f166,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f170,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f94]) ).
fof(f195,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f197,plain,
sz00 != xn,
inference(cnf_transformation,[],[f40]) ).
fof(f198,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f199,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f200,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f208,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f212,plain,
sz10 != xp,
inference(cnf_transformation,[],[f124]) ).
fof(f213,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sK7),
inference(cnf_transformation,[],[f50]) ).
fof(f214,plain,
aNaturalNumber0(sK7),
inference(cnf_transformation,[],[f50]) ).
fof(f221,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f45]) ).
fof(f222,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f46]) ).
fof(f228,plain,
( ~ sdtlseqdt0(xn,xm)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f230,plain,
( ~ sdtlseqdt0(xm,xn)
| xn = xm ),
inference(cnf_transformation,[],[f126]) ).
fof(f244,definition,
( spl9_1
<=> xn = xm ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f246,plain,
( xn = xm
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl9_2
<=> sdtlseqdt0(xm,xn) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f249,plain,
( sdtlseqdt0(xm,xn)
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f250,plain,
( ~ sdtlseqdt0(xm,xn)
| spl9_2 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f230,f248,f244]) ).
fof(f265,plain,
( sdtlseqdt0(xn,xn)
| ~ spl9_1
| ~ spl9_2 ),
inference(forward_demodulation,[],[f249,f246]) ).
fof(f289,plain,
sK7 = sdtasdt0(sz10,sK7),
inference(resolution,[],[f138,f214]) ).
fof(f310,plain,
sz00 = sdtasdt0(xp,sz00),
inference(resolution,[],[f141,f198]) ).
fof(f350,definition,
( spl9_4
<=> aNaturalNumber0(sdtasdt0(xq,xq)) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
fof(f351,plain,
( aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f352,plain,
( ~ aNaturalNumber0(sdtasdt0(xq,xq))
| spl9_4 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f354,definition,
( spl9_5
<=> aNaturalNumber0(sdtasdt0(xn,xn)) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
fof(f355,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xn))
| spl9_5 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f356,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f361,plain,
( ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq)
| spl9_4 ),
inference(resolution,[],[f352,f131]) ).
fof(f362,plain,
( ~ aNaturalNumber0(xq)
| spl9_4 ),
inference(duplicate_literal_removal,[],[f361]) ).
fof(f363,plain,
( $false
| spl9_4 ),
inference(forward_subsumption_resolution,[],[f362,f221]) ).
fof(f364,plain,
spl9_4,
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f1479,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sK7)
| sz00 = sK7
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7)
| xp = X0 ),
inference(superposition,[],[f146,f213]) ).
fof(f1484,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sK7)
| sz00 = sK7
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7)
| xp = X0 ),
inference(forward_subsumption_resolution,[],[f1479,f198]) ).
fof(f1500,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sK7)
| sz00 = sK7
| ~ aNaturalNumber0(X0)
| xp = X0 ),
inference(forward_subsumption_resolution,[],[f1484,f214]) ).
fof(f1955,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sK7),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = sK7
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f166,f213]) ).
fof(f1958,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sK7),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = sK7
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f1955,f214]) ).
fof(f1986,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sK7),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = sK7 ),
inference(forward_subsumption_resolution,[],[f1958,f198]) ).
fof(f3001,definition,
( spl9_17
<=> sz00 = sdtasdt0(xn,xn) ),
introduced(definition,[new_symbols(definition,[spl9_17])],[avatar_definition]) ).
fof(f3002,plain,
( sz00 = sdtasdt0(xn,xn)
| ~ spl9_17 ),
inference(avatar_component_clause,[],[f3001]) ).
fof(f3003,plain,
( sz00 != sdtasdt0(xn,xn)
| spl9_17 ),
inference(avatar_component_clause,[],[f3001]) ).
fof(f3242,definition,
( spl9_19
<=> sdtlseqdt0(xn,xm) ),
introduced(definition,[new_symbols(definition,[spl9_19])],[avatar_definition]) ).
fof(f3243,plain,
( sdtlseqdt0(xn,xm)
| ~ spl9_19 ),
inference(avatar_component_clause,[],[f3242]) ).
fof(f3244,plain,
( ~ sdtlseqdt0(xn,xm)
| spl9_19 ),
inference(avatar_component_clause,[],[f3242]) ).
fof(f3359,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ spl9_19 ),
inference(forward_subsumption_resolution,[],[f228,f3243]) ).
fof(f3652,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| spl9_5 ),
inference(resolution,[],[f355,f131]) ).
fof(f3653,plain,
( ~ aNaturalNumber0(xn)
| spl9_5 ),
inference(duplicate_literal_removal,[],[f3652]) ).
fof(f3707,plain,
( sz00 != sz00
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| sz00 = xn
| sz00 = xn
| ~ spl9_17 ),
inference(superposition,[],[f150,f3002]) ).
fof(f3728,plain,
( sz00 != sz00
| ~ aNaturalNumber0(xn)
| sz00 = xn
| ~ spl9_17 ),
inference(duplicate_literal_removal,[],[f3707]) ).
fof(f3729,plain,
( ~ aNaturalNumber0(xn)
| sz00 = xn
| ~ spl9_17 ),
inference(trivial_inequality_removal,[],[f3728]) ).
fof(f3817,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(xp,X0)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sdtasdt0(xm,xm) = X0 ),
inference(superposition,[],[f147,f208]) ).
fof(f3833,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sdtasdt0(xm,xm) = X0 ),
inference(forward_subsumption_resolution,[],[f3817,f195]) ).
fof(f3844,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0 ),
inference(forward_subsumption_resolution,[],[f3833,f198]) ).
fof(f3872,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[],[f131,f222]) ).
fof(f3897,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[],[f3872,f198]) ).
fof(f3914,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f3897,f351]) ).
fof(f6060,definition,
( spl9_39
<=> sz00 = sK7 ),
introduced(definition,[new_symbols(definition,[spl9_39])],[avatar_definition]) ).
fof(f6061,plain,
( sz00 != sK7
| spl9_39 ),
inference(avatar_component_clause,[],[f6060]) ).
fof(f6062,plain,
( sz00 = sK7
| ~ spl9_39 ),
inference(avatar_component_clause,[],[f6060]) ).
fof(f13513,plain,
( ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(X0,sK7)
| ~ aNaturalNumber0(X0)
| xp = X0 )
| spl9_39 ),
inference(forward_subsumption_resolution,[],[f1500,f6061]) ).
fof(f13514,plain,
( sdtasdt0(xn,xn) != sK7
| ~ aNaturalNumber0(sz10)
| sz10 = xp
| spl9_39 ),
inference(superposition,[],[f13513,f289]) ).
fof(f13515,plain,
( sdtasdt0(xn,xn) != sK7
| sz10 = xp
| spl9_39 ),
inference(forward_subsumption_resolution,[],[f13514,f129]) ).
fof(f13516,plain,
( sdtasdt0(xn,xn) != sK7
| spl9_39 ),
inference(forward_subsumption_resolution,[],[f13515,f212]) ).
fof(f16526,definition,
( spl9_64
<=> sdtlseqdt0(sz10,xp) ),
introduced(definition,[new_symbols(definition,[spl9_64])],[avatar_definition]) ).
fof(f16527,plain,
( sdtlseqdt0(sz10,xp)
| ~ spl9_64 ),
inference(avatar_component_clause,[],[f16526]) ).
fof(f16528,plain,
( ~ sdtlseqdt0(sz10,xp)
| spl9_64 ),
inference(avatar_component_clause,[],[f16526]) ).
fof(f16535,plain,
( ~ aNaturalNumber0(xp)
| sz10 = xp
| sz00 = xp
| spl9_64 ),
inference(resolution,[],[f16528,f170]) ).
fof(f16544,plain,
( sz10 = xp
| sz00 = xp
| spl9_64 ),
inference(forward_subsumption_resolution,[],[f16535,f198]) ).
fof(f16549,plain,
( sz00 = xp
| spl9_64 ),
inference(forward_subsumption_resolution,[],[f16544,f212]) ).
fof(f16550,plain,
( $false
| spl9_64 ),
inference(forward_subsumption_resolution,[],[f16549,f195]) ).
fof(f16551,plain,
spl9_64,
inference(avatar_contradiction_clause,[],[f16550]) ).
fof(f24815,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sK7),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| xp = X0 )
| spl9_39 ),
inference(forward_subsumption_resolution,[],[f1986,f6061]) ).
fof(f24833,plain,
( sdtlseqdt0(sK7,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xp)
| sz10 = xp
| spl9_39 ),
inference(superposition,[],[f24815,f289]) ).
fof(f24834,plain,
( sdtlseqdt0(sK7,sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sz10,xp)
| sz10 = xp
| spl9_39 ),
inference(forward_subsumption_resolution,[],[f24833,f129]) ).
fof(f24851,plain,
( sdtlseqdt0(sK7,sdtasdt0(xn,xn))
| sz10 = xp
| spl9_39
| ~ spl9_64 ),
inference(forward_subsumption_resolution,[],[f24834,f16527]) ).
fof(f24854,plain,
( sdtlseqdt0(sK7,sdtasdt0(xn,xn))
| spl9_39
| ~ spl9_64 ),
inference(forward_subsumption_resolution,[],[f24851,f212]) ).
fof(f77373,plain,
( ! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) = X0 )
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f3844,f3914]) ).
fof(f77421,plain,
( sdtasdt0(xn,xn) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sK7)
| sdtasdt0(xm,xm) = sK7
| ~ spl9_4 ),
inference(superposition,[],[f77373,f213]) ).
fof(f77422,plain,
( ~ aNaturalNumber0(sK7)
| sdtasdt0(xm,xm) = sK7
| ~ spl9_4 ),
inference(trivial_inequality_removal,[],[f77421]) ).
fof(f77425,plain,
( sdtasdt0(xm,xm) = sK7
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f77422,f214]) ).
fof(f77430,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sK7)
| ~ spl9_4
| ~ spl9_19 ),
inference(superposition,[],[f3359,f77425]) ).
fof(f78803,plain,
( ~ sdtlseqdt0(sK7,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK7)
| sdtasdt0(xn,xn) = sK7
| ~ spl9_4
| ~ spl9_19 ),
inference(resolution,[],[f77430,f158]) ).
fof(f78938,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK7)
| sdtasdt0(xn,xn) = sK7
| ~ spl9_4
| ~ spl9_19
| spl9_39
| ~ spl9_64 ),
inference(forward_subsumption_resolution,[],[f78803,f24854]) ).
fof(f79007,plain,
( ~ aNaturalNumber0(sK7)
| sdtasdt0(xn,xn) = sK7
| ~ spl9_4
| ~ spl9_5
| ~ spl9_19
| spl9_39
| ~ spl9_64 ),
inference(forward_subsumption_resolution,[],[f78938,f356]) ).
fof(f79019,plain,
( sdtasdt0(xn,xn) = sK7
| ~ spl9_4
| ~ spl9_5
| ~ spl9_19
| spl9_39
| ~ spl9_64 ),
inference(forward_subsumption_resolution,[],[f79007,f214]) ).
fof(f79022,plain,
( $false
| ~ spl9_4
| ~ spl9_5
| ~ spl9_19
| spl9_39
| ~ spl9_64 ),
inference(forward_subsumption_resolution,[],[f79019,f13516]) ).
fof(f79023,plain,
( ~ spl9_4
| ~ spl9_5
| ~ spl9_19
| spl9_39
| ~ spl9_64 ),
inference(avatar_contradiction_clause,[],[f79022]) ).
fof(f79151,plain,
( sdtasdt0(xn,xn) = sdtasdt0(xp,sz00)
| ~ spl9_39 ),
inference(superposition,[],[f213,f6062]) ).
fof(f79226,plain,
( sz00 = sdtasdt0(xn,xn)
| ~ spl9_39 ),
inference(forward_demodulation,[],[f79151,f310]) ).
fof(f79227,plain,
( $false
| spl9_17
| ~ spl9_39 ),
inference(forward_subsumption_resolution,[],[f79226,f3003]) ).
fof(f79228,plain,
( spl9_17
| ~ spl9_39 ),
inference(avatar_contradiction_clause,[],[f79227]) ).
fof(f79282,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| sdtlseqdt0(xm,xn)
| spl9_19 ),
inference(resolution,[],[f3244,f160]) ).
fof(f79283,plain,
( ~ aNaturalNumber0(xn)
| sdtlseqdt0(xm,xn)
| spl9_19 ),
inference(forward_subsumption_resolution,[],[f79282,f199]) ).
fof(f79290,plain,
( sdtlseqdt0(xm,xn)
| spl9_19 ),
inference(forward_subsumption_resolution,[],[f79283,f200]) ).
fof(f79295,plain,
( $false
| spl9_2
| spl9_19 ),
inference(forward_subsumption_resolution,[],[f79290,f250]) ).
fof(f79296,plain,
( spl9_2
| spl9_19 ),
inference(avatar_contradiction_clause,[],[f79295]) ).
fof(f79298,plain,
( sz00 = xn
| ~ spl9_17 ),
inference(forward_subsumption_resolution,[],[f3729,f200]) ).
fof(f79359,plain,
( $false
| ~ spl9_17 ),
inference(forward_subsumption_resolution,[],[f79298,f197]) ).
fof(f79360,plain,
~ spl9_17,
inference(avatar_contradiction_clause,[],[f79359]) ).
fof(f79382,plain,
( $false
| spl9_5 ),
inference(forward_subsumption_resolution,[],[f3653,f200]) ).
fof(f79383,plain,
spl9_5,
inference(avatar_contradiction_clause,[],[f79382]) ).
fof(f80567,plain,
( ~ sdtlseqdt0(xn,xn)
| ~ spl9_1
| spl9_19 ),
inference(forward_demodulation,[],[f3244,f246]) ).
fof(f80568,plain,
( $false
| ~ spl9_1
| ~ spl9_2
| spl9_19 ),
inference(forward_subsumption_resolution,[],[f80567,f265]) ).
fof(f80569,plain,
( ~ spl9_1
| ~ spl9_2
| spl9_19 ),
inference(avatar_contradiction_clause,[],[f80568]) ).
cnf(s1,plain,
( spl9_1
| ~ spl9_2 ),
inference(sat_conversion,[],[f251]) ).
cnf(s5,plain,
spl9_4,
inference(sat_conversion,[],[f364]) ).
cnf(s66,plain,
spl9_64,
inference(sat_conversion,[],[f16551]) ).
cnf(s111,plain,
( ~ spl9_4
| ~ spl9_5
| ~ spl9_19
| spl9_39
| ~ spl9_64 ),
inference(sat_conversion,[],[f79023]) ).
cnf(s118,plain,
( spl9_17
| ~ spl9_39 ),
inference(sat_conversion,[],[f79228]) ).
cnf(s119,plain,
( spl9_2
| spl9_19 ),
inference(sat_conversion,[],[f79296]) ).
cnf(s120,plain,
~ spl9_17,
inference(sat_conversion,[],[f79360]) ).
cnf(s122,plain,
spl9_5,
inference(sat_conversion,[],[f79383]) ).
cnf(s123,plain,
( ~ spl9_1
| ~ spl9_2
| spl9_19 ),
inference(sat_conversion,[],[f80569]) ).
cnf(s124,plain,
~ spl9_39,
inference(rat,[],[s118,s120]) ).
cnf(s126,plain,
( ~ spl9_4
| ~ spl9_19
| ~ spl9_64 ),
inference(rat,[],[s111,s124,s122]) ).
cnf(s158,plain,
~ spl9_19,
inference(rat,[],[s126,s66,s5]) ).
cnf(s159,plain,
spl9_2,
inference(rat,[],[s119,s158]) ).
cnf(s160,plain,
~ spl9_1,
inference(rat,[],[s123,s158,s159]) ).
cnf(s162,plain,
$false,
inference(rat,[],[s1,s159,s160]) ).
fof(f80570,plain,
$false,
inference(avatar_sat_refutation,[],[s162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM528+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 20:21:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 15.37/2.67 % (135537)Will run a generic schedule for satisfiability detection.
% 15.37/2.67 % (135542)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1319776254_2999 on theBenchmark for (2999ds/0Mi)
% 15.37/2.67 % Detected minimum model sizes of [3]
% 15.37/2.67 % Detected maximum model sizes of [max]
% 15.37/2.67 % TRYING [3]
% 15.37/2.67 % (135546)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4134188034:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.37/2.67 % (135548)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2683084955:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.37/2.67 % (135547)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2511626559:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.37/2.67 % (135544)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3144704584:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.37/2.67 % (135545)dis+10_1_sil=32000:sp=arity:random_seed=2180244166:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.37/2.67 % (135543)% WARNING: option uhcvi not known.
% 15.37/2.67 % TRYING [4]
% 15.37/2.67 % (135543)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1443598789:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.37/2.67 % TRYING [5]
% 15.37/2.67 % TRYING [6]
% 15.37/2.67 % (135545)Instruction limit reached!
% 15.37/2.67 % (135545)------------------------------
% 15.37/2.67 % (135545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.37/2.67 % (135545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.37/2.67 % (135545)CaDiCaL version: 2.1.3
% 15.37/2.67 % (135545)Termination reason: Instruction limit
% 15.37/2.67 % (135545)Termination phase: Saturation
% 15.37/2.67 % (135545)Time elapsed: 0.064 s
% 15.37/2.67 % (135545)Peak memory usage: 13 MB
% 15.37/2.67 % (135545)Instructions burned: 103 (million)
% 15.37/2.67 % (135546)Instruction limit reached!
% 15.37/2.67 % (135546)------------------------------
% 15.37/2.67 % (135546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.37/2.67 % (135546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.37/2.67 % (135546)CaDiCaL version: 2.1.3
% 15.37/2.67 % (135546)Termination reason: Instruction limit
% 15.37/2.67 % (135546)Termination phase: Saturation
% 15.37/2.67 % (135546)Time elapsed: 0.065 s
% 15.37/2.67 % (135546)Peak memory usage: 13 MB
% 15.37/2.67 % (135546)Instructions burned: 117 (million)
% 15.37/2.67 % (135547)Instruction limit reached!
% 15.37/2.67 % (135547)------------------------------
% 15.37/2.67 % (135547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.37/2.67 % (135547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.37/2.67 % (135547)CaDiCaL version: 2.1.3
% 15.37/2.67 % (135547)Termination reason: Instruction limit
% 15.37/2.67 % (135547)Termination phase: Saturation
% 15.37/2.67 % (135547)Time elapsed: 0.073 s
% 15.37/2.67 % (135547)Peak memory usage: 13 MB
% 15.37/2.67 % (135547)Instructions burned: 131 (million)
% 15.37/2.67 % (135557)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1332635326:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.37/2.67 % (135556)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1283652238:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 15.37/2.67 % (135558)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=2625540367:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.37/2.67 % Detected minimum model sizes of [3]
% 15.37/2.67 % Detected maximum model sizes of [max]
% 15.37/2.67 % TRYING [3]
% 15.37/2.67 % (135548)Instruction limit reached!
% 15.37/2.67 % (135548)------------------------------
% 15.37/2.67 % (135548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.37/2.67 % (135548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.37/2.67 % (135548)CaDiCaL version: 2.1.3
% 15.37/2.67 % (135548)Termination reason: Instruction limit
% 15.37/2.67 % (135548)Termination phase: Saturation
% 15.37/2.67 % (135548)Time elapsed: 0.098 s
% 15.37/2.67 % (135548)Peak memory usage: 14 MB
% 15.37/2.67 % (135548)Instructions burned: 160 (million)
% 15.37/2.67 % TRYING [4]
% 15.37/2.67 % (135562)ott-21_1_sil=16000:fs=off:random_seed=2328674236:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.37/2.67 % TRYING [5]
% 15.37/2.67 % (135557)Instruction limit reached!
% 15.37/2.67 % (135557)------------------------------
% 15.37/2.67 % (135557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135557)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135557)Termination reason: Instruction limit
% 11.21/3.95 % (135557)Termination phase: Saturation
% 11.21/3.95 % (135557)Time elapsed: 0.065 s
% 11.21/3.95 % (135557)Peak memory usage: 12 MB
% 11.21/3.95 % (135557)Instructions burned: 132 (million)
% 11.21/3.95 % TRYING [7]
% 11.21/3.95 % (135564)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2542158944:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 11.21/3.95 % (135562)Instruction limit reached!
% 11.21/3.95 % (135562)------------------------------
% 11.21/3.95 % (135562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135562)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135562)Termination reason: Instruction limit
% 11.21/3.95 % (135562)Termination phase: Saturation
% 11.21/3.95 % (135562)Time elapsed: 0.092 s
% 11.21/3.95 % (135562)Peak memory usage: 13 MB
% 11.21/3.95 % (135562)Instructions burned: 181 (million)
% 11.21/3.95 % TRYING [6]
% 11.21/3.95 % (135566)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3305214558:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.21/3.95 % Detected minimum model sizes of [3]
% 11.21/3.95 % Detected maximum model sizes of [max]
% 11.21/3.95 % TRYING [3]
% 11.21/3.95 % TRYING [4]
% 11.21/3.95 % TRYING [5]
% 11.21/3.95 % (135556)Instruction limit reached!
% 11.21/3.95 % (135556)------------------------------
% 11.21/3.95 % (135556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135556)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135556)Termination reason: Instruction limit
% 11.21/3.95 % (135556)Termination phase: Finite model building constraint generation
% 11.21/3.95 % (135556)Time elapsed: 0.260 s
% 11.21/3.95 % (135556)Peak memory usage: 34 MB
% 11.21/3.95 % (135556)Instructions burned: 714 (million)
% 11.21/3.95 % (135568)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=44433964:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 11.21/3.95 % TRYING [8]
% 11.21/3.95 % (135558)Instruction limit reached!
% 11.21/3.95 % (135558)------------------------------
% 11.21/3.95 % (135558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135558)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135558)Termination reason: Instruction limit
% 11.21/3.95 % (135558)Termination phase: Saturation
% 11.21/3.95 % (135558)Time elapsed: 0.382 s
% 11.21/3.95 % (135558)Peak memory usage: 21 MB
% 11.21/3.95 % (135558)Instructions burned: 685 (million)
% 11.21/3.95 % (135564)Instruction limit reached!
% 11.21/3.95 % (135564)------------------------------
% 11.21/3.95 % (135564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135564)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135564)Termination reason: Instruction limit
% 11.21/3.95 % (135564)Termination phase: Saturation
% 11.21/3.95 % (135564)Time elapsed: 0.315 s
% 11.21/3.95 % (135564)Peak memory usage: 14 MB
% 11.21/3.95 % (135564)Instructions burned: 478 (million)
% 11.21/3.95 % (135570)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3169338157:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 11.21/3.95 % (135571)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=2476534532: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)
% 11.21/3.95 % (135566)Instruction limit reached!
% 11.21/3.95 % (135566)------------------------------
% 11.21/3.95 % (135566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135566)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135566)Termination reason: Instruction limit
% 11.21/3.95 % (135566)Termination phase: Finite model building constraint generation
% 11.21/3.95 % (135566)Time elapsed: 0.351 s
% 11.21/3.95 % (135566)Peak memory usage: 22 MB
% 11.21/3.95 % (135566)Instructions burned: 868 (million)
% 11.21/3.95 % (135574)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=822221235:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 11.21/3.95 % TRYING [14]
% 11.21/3.95 % TRYING [9]
% 11.21/3.95 % (135570)Instruction limit reached!
% 11.21/3.95 % (135570)------------------------------
% 11.21/3.95 % (135570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135570)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135570)Termination reason: Instruction limit
% 11.21/3.95 % (135570)Termination phase: Finite model building constraint generation
% 11.21/3.95 % (135570)Time elapsed: 0.349 s
% 11.21/3.95 % (135570)Peak memory usage: 80 MB
% 11.21/3.95 % (135570)Instructions burned: 891 (million)
% 11.21/3.95 % (135576)fmb+10_1_sil=64000:random_seed=976327394:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 11.21/3.95 % Detected minimum model sizes of [3]
% 11.21/3.95 % Detected maximum model sizes of [max]
% 11.21/3.95 % TRYING [3]
% 11.21/3.95 % (135571)Instruction limit reached!
% 11.21/3.95 % (135571)------------------------------
% 11.21/3.95 % (135571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135571)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135571)Termination reason: Instruction limit
% 11.21/3.95 % (135571)Termination phase: Saturation
% 11.21/3.95 % (135571)Time elapsed: 0.373 s
% 11.21/3.95 % (135571)Peak memory usage: 24 MB
% 11.21/3.95 % (135571)Instructions burned: 694 (million)
% 11.21/3.95 % TRYING [4]
% 11.21/3.95 % (135578)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1910431322:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 11.21/3.95 % Detected minimum model sizes of [3]
% 11.21/3.95 % Detected maximum model sizes of [max]
% 11.21/3.95 % TRYING [20]
% 11.21/3.95 % TRYING [5]
% 11.21/3.95 % (135568)Instruction limit reached!
% 11.21/3.95 % (135568)------------------------------
% 11.21/3.95 % (135568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135568)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135568)Termination reason: Instruction limit
% 11.21/3.95 % (135568)Termination phase: Saturation
% 11.21/3.95 % (135568)Time elapsed: 0.681 s
% 11.21/3.95 % (135568)Peak memory usage: 23 MB
% 11.21/3.95 % (135568)Instructions burned: 1180 (million)
% 11.21/3.95 % (135580)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2256265786:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 11.21/3.95 % Detected minimum model sizes of [3]
% 11.21/3.95 % Detected maximum model sizes of [max]
% 11.21/3.95 % TRYING [8]
% 11.21/3.95 % (135574)Instruction limit reached!
% 11.21/3.95 % (135574)------------------------------
% 11.21/3.95 % (135574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135574)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135574)Termination reason: Instruction limit
% 11.21/3.95 % (135574)Termination phase: Saturation
% 11.21/3.95 % (135574)Time elapsed: 0.488 s
% 11.21/3.95 % (135574)Peak memory usage: 20 MB
% 11.21/3.95 % (135574)Instructions burned: 879 (million)
% 11.21/3.95 % (135582)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3749860061:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 11.21/3.95 % TRYING [6]
% 11.21/3.95 % (135580)Instruction limit reached!
% 11.21/3.95 % (135580)------------------------------
% 11.21/3.95 % (135580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135580)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135580)Termination reason: Instruction limit
% 11.21/3.95 % (135580)Termination phase: Finite model building constraint generation
% 11.21/3.95 % (135580)Time elapsed: 0.340 s
% 11.21/3.95 % (135580)Peak memory usage: 66 MB
% 11.21/3.95 % (135580)Instructions burned: 922 (million)
% 11.21/3.95 % (135584)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=260500790:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 11.21/3.95 % TRYING [10]
% 11.21/3.95 % TRYING [7]
% 11.21/3.95 % (135584)Instruction limit reached!
% 11.21/3.95 % (135584)------------------------------
% 11.21/3.95 % (135584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135584)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135584)Termination reason: Instruction limit
% 11.21/3.95 % (135584)Termination phase: Saturation
% 11.21/3.95 % (135584)Time elapsed: 0.764 s
% 11.21/3.95 % (135584)Peak memory usage: 35 MB
% 11.21/3.95 % (135584)Instructions burned: 1473 (million)
% 11.21/3.95 % (135586)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=664267279:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 11.21/3.95 % Detected minimum model sizes of [3]
% 11.21/3.95 % Detected maximum model sizes of [max]
% 11.21/3.95 % TRYING [77]
% 11.21/3.95 % TRYING [8]
% 11.21/3.95 % (135582) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-135537-135582"...
% 11.21/3.95 % (135582)...printing done.
% 11.21/3.95 % (135582)Refutation found. Thanks to Tanya!
% 11.21/3.95 % SZS status Theorem for theBenchmark
% 11.21/3.95 % SZS output start Proof for theBenchmark
% See solution above
% 11.21/3.95 % (135582)------------------------------
% 11.21/3.95 % (135582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.21/3.95 % (135582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/3.95 % (135582)CaDiCaL version: 2.1.3
% 11.21/3.95 % (135582)Termination reason: Refutation
% 11.21/3.95 % (135582)Time elapsed: 2.300 s
% 11.21/3.95 % (135582)Peak memory usage: 39 MB
% 11.21/3.95 % (135582)Instructions burned: 4323 (million)
% 11.21/3.95 % (135537)Success in time 3.526 s
% 11.21/3.95 % Vampire exiting
%------------------------------------------------------------------------------