%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM459+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:24:23 PM UTC 2026
% Result : Theorem 9.21s 2.41s
% Output : Refutation 9.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of formulae : 129 ( 33 unt; 3 def)
% Number of atoms : 346 ( 110 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 372 ( 155 ~; 150 |; 46 &)
% ( 9 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 103 ( 0 sgn 90 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X0 = sz00
& X1 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f21,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__745) ).
fof(f22,conjecture,
( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
& sdtlseqdt0(xm,xn)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xm )
& sdtlseqdt0(xn,xm) )
=> xm = xn ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f23,negated_conjecture,
~ ( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
& sdtlseqdt0(xm,xn)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xm )
& sdtlseqdt0(xn,xm) )
=> xm = xn ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f24,plain,
~ ( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
& sdtlseqdt0(xm,xn)
& ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtpldt0(xn,X1) )
& sdtlseqdt0(xn,xm) )
=> xm = xn ),
inference(rectify,[],[f23]) ).
fof(f26,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f27,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f26]) ).
fof(f30,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f31,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f47,plain,
! [X0,X1] :
( ( X0 = sz00
& X1 = sz00 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f48,plain,
! [X0,X1] :
( ( X0 = sz00
& X1 = sz00 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f47]) ).
fof(f51,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f52,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f54,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f56,plain,
( xm != xn
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
& sdtlseqdt0(xm,xn)
& ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtpldt0(xn,X1) )
& sdtlseqdt0(xn,xm) ),
inference(ennf_transformation,[],[f24]) ).
fof(f57,plain,
( xm != xn
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
& sdtlseqdt0(xm,xn)
& ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtpldt0(xn,X1) )
& sdtlseqdt0(xn,xm) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f61,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f63,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f65,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f66,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f80,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f48]) ).
fof(f82,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f83,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtmndt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f54]) ).
fof(f89,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f21]) ).
fof(f90,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f21]) ).
fof(f91,plain,
xn = sdtpldt0(xm,sK2),
inference(cnf_transformation,[],[f57]) ).
fof(f92,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f57]) ).
fof(f93,plain,
xm = sdtpldt0(xn,sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f94,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f97,plain,
xm != xn,
inference(cnf_transformation,[],[f57]) ).
fof(f98,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f84]) ).
fof(f99,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f87]) ).
fof(f102,plain,
sz00 = sdtpldt0(sz00,sz00),
inference(resolution,[],[f65,f58]) ).
fof(f110,plain,
xm = sdtpldt0(xm,sz00),
inference(resolution,[],[f66,f90]) ).
fof(f111,plain,
xn = sdtpldt0(xn,sz00),
inference(resolution,[],[f66,f89]) ).
fof(f166,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK1) = sdtpldt0(sK1,X0) ),
inference(resolution,[],[f63,f94]) ).
fof(f167,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK2) = sdtpldt0(sK2,X0) ),
inference(resolution,[],[f63,f92]) ).
fof(f199,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK0(X0,X1) = sdtpldt0(sK0(X0,X1),sz00) ),
inference(resolution,[],[f83,f66]) ).
fof(f227,definition,
( spl3_1
<=> sz00 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f228,plain,
( sz00 != sK1
| spl3_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( sz00 = sK1
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f243,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f98,f61]) ).
fof(f407,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,sK1),X0) = sdtpldt0(X1,sdtpldt0(sK1,X0)) ),
inference(resolution,[],[f64,f94]) ).
fof(f408,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X1,sK2),X0) = sdtpldt0(X1,sdtpldt0(sK2,X0)) ),
inference(resolution,[],[f64,f92]) ).
fof(f661,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f99,f61]) ).
fof(f662,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f661,f243]) ).
fof(f675,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtmndt0(sdtpldt0(X0,sz00),X0) ),
inference(resolution,[],[f662,f58]) ).
fof(f690,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(xm,X0),xm) = X0 ),
inference(resolution,[],[f662,f90]) ).
fof(f694,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(sK2,X0),sK2) = X0 ),
inference(resolution,[],[f662,f92]) ).
fof(f705,plain,
sdtpldt0(sK2,sK1) = sdtpldt0(sK1,sK2),
inference(resolution,[],[f166,f92]) ).
fof(f713,plain,
sdtpldt0(xm,sK2) = sdtpldt0(sK2,xm),
inference(resolution,[],[f167,f90]) ).
fof(f718,plain,
xn = sdtpldt0(sK2,xm),
inference(forward_demodulation,[],[f713,f91]) ).
fof(f751,plain,
( sdtlseqdt0(sK2,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[],[f243,f718]) ).
fof(f752,plain,
( sdtlseqdt0(sK2,xn)
| ~ aNaturalNumber0(sK2) ),
inference(forward_subsumption_resolution,[],[f751,f90]) ).
fof(f757,plain,
sdtlseqdt0(sK2,xn),
inference(forward_subsumption_resolution,[],[f752,f92]) ).
fof(f775,plain,
( ~ aNaturalNumber0(sK2)
| xn = sdtpldt0(sK2,sK0(sK2,xn))
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f757,f82]) ).
fof(f776,plain,
( xn = sdtpldt0(sK2,sK0(sK2,xn))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f775,f92]) ).
fof(f778,plain,
xn = sdtpldt0(sK2,sK0(sK2,xn)),
inference(forward_subsumption_resolution,[],[f776,f89]) ).
fof(f881,plain,
xm = sdtmndt0(sdtpldt0(sK2,xm),sK2),
inference(resolution,[],[f694,f90]) ).
fof(f886,plain,
xm = sdtmndt0(xn,sK2),
inference(forward_demodulation,[],[f881,f718]) ).
fof(f992,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xn,sK1),X0) = sdtpldt0(xn,sdtpldt0(sK1,X0)) ),
inference(resolution,[],[f407,f89]) ).
fof(f1012,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) = sdtpldt0(xn,sdtpldt0(sK1,X0)) ),
inference(forward_demodulation,[],[f992,f93]) ).
fof(f1037,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xm,sK2),X0) = sdtpldt0(xm,sdtpldt0(sK2,X0)) ),
inference(resolution,[],[f408,f90]) ).
fof(f1057,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtpldt0(xm,sdtpldt0(sK2,X0)) ),
inference(forward_demodulation,[],[f1037,f91]) ).
fof(f4823,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2)
| sK0(sK2,xn) = sdtpldt0(sK0(sK2,xn),sz00) ),
inference(resolution,[],[f199,f757]) ).
fof(f4832,plain,
( ~ aNaturalNumber0(sK2)
| sK0(sK2,xn) = sdtpldt0(sK0(sK2,xn),sz00) ),
inference(forward_subsumption_resolution,[],[f4823,f89]) ).
fof(f4841,plain,
sK0(sK2,xn) = sdtpldt0(sK0(sK2,xn),sz00),
inference(forward_subsumption_resolution,[],[f4832,f92]) ).
fof(f7417,definition,
( spl3_12
<=> aNaturalNumber0(sK0(sK2,xn)) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f7418,plain,
( aNaturalNumber0(sK0(sK2,xn))
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f7417]) ).
fof(f7419,plain,
( ~ aNaturalNumber0(sK0(sK2,xn))
| spl3_12 ),
inference(avatar_component_clause,[],[f7417]) ).
fof(f7479,plain,
( ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sK2,xn)
| spl3_12 ),
inference(resolution,[],[f7419,f83]) ).
fof(f7480,plain,
( ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sK2,xn)
| spl3_12 ),
inference(forward_subsumption_resolution,[],[f7479,f92]) ).
fof(f7481,plain,
( ~ sdtlseqdt0(sK2,xn)
| spl3_12 ),
inference(forward_subsumption_resolution,[],[f7480,f89]) ).
fof(f7482,plain,
( $false
| spl3_12 ),
inference(forward_subsumption_resolution,[],[f7481,f757]) ).
fof(f7483,plain,
spl3_12,
inference(avatar_contradiction_clause,[],[f7482]) ).
fof(f7781,plain,
( sz00 = sdtmndt0(sdtpldt0(sK0(sK2,xn),sz00),sK0(sK2,xn))
| ~ spl3_12 ),
inference(resolution,[],[f7418,f675]) ).
fof(f7806,plain,
( sK0(sK2,xn) = sdtmndt0(sdtpldt0(sK2,sK0(sK2,xn)),sK2)
| ~ spl3_12 ),
inference(resolution,[],[f7418,f694]) ).
fof(f7834,plain,
( sdtmndt0(xn,sK2) = sK0(sK2,xn)
| ~ spl3_12 ),
inference(forward_demodulation,[],[f7806,f778]) ).
fof(f7836,plain,
( sz00 = sdtmndt0(sK0(sK2,xn),sK0(sK2,xn))
| ~ spl3_12 ),
inference(forward_demodulation,[],[f7781,f4841]) ).
fof(f7877,plain,
( xm = sK0(sK2,xn)
| ~ spl3_12 ),
inference(forward_demodulation,[],[f7834,f886]) ).
fof(f11920,plain,
( sz00 = sdtmndt0(xm,xm)
| ~ spl3_12 ),
inference(forward_demodulation,[],[f7836,f7877]) ).
fof(f13727,plain,
sdtpldt0(xm,sK1) = sdtpldt0(xn,sdtpldt0(sK1,sK1)),
inference(resolution,[],[f1012,f94]) ).
fof(f13877,plain,
sdtpldt0(xn,sK1) = sdtpldt0(xm,sdtpldt0(sK2,sK1)),
inference(resolution,[],[f1057,f94]) ).
fof(f13879,plain,
sdtpldt0(xn,sK1) = sdtpldt0(xm,sdtpldt0(sK1,sK2)),
inference(forward_demodulation,[],[f13877,f705]) ).
fof(f13890,plain,
xm = sdtpldt0(xm,sdtpldt0(sK1,sK2)),
inference(forward_demodulation,[],[f13879,f93]) ).
fof(f20786,plain,
( sdtpldt0(xm,sz00) = sdtpldt0(xn,sdtpldt0(sz00,sz00))
| ~ spl3_1 ),
inference(superposition,[],[f13727,f229]) ).
fof(f20816,plain,
( sdtpldt0(xm,sz00) = sdtpldt0(xn,sz00)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f20786,f102]) ).
fof(f20863,plain,
( xn = sdtpldt0(xm,sz00)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f20816,f111]) ).
fof(f20869,plain,
( xm = xn
| ~ spl3_1 ),
inference(forward_demodulation,[],[f20863,f110]) ).
fof(f20870,plain,
( $false
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f20869,f97]) ).
fof(f20871,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f20870]) ).
fof(f40236,definition,
( spl3_45
<=> aNaturalNumber0(sdtpldt0(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_45])],[avatar_definition]) ).
fof(f40237,plain,
( aNaturalNumber0(sdtpldt0(sK1,sK2))
| ~ spl3_45 ),
inference(avatar_component_clause,[],[f40236]) ).
fof(f40238,plain,
( ~ aNaturalNumber0(sdtpldt0(sK1,sK2))
| spl3_45 ),
inference(avatar_component_clause,[],[f40236]) ).
fof(f40295,plain,
( ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2)
| spl3_45 ),
inference(resolution,[],[f40238,f61]) ).
fof(f40296,plain,
( ~ aNaturalNumber0(sK2)
| spl3_45 ),
inference(forward_subsumption_resolution,[],[f40295,f94]) ).
fof(f40297,plain,
( $false
| spl3_45 ),
inference(forward_subsumption_resolution,[],[f40296,f92]) ).
fof(f40298,plain,
spl3_45,
inference(avatar_contradiction_clause,[],[f40297]) ).
fof(f40716,plain,
( sdtpldt0(sK1,sK2) = sdtmndt0(sdtpldt0(xm,sdtpldt0(sK1,sK2)),xm)
| ~ spl3_45 ),
inference(resolution,[],[f40237,f690]) ).
fof(f41116,plain,
( sdtpldt0(sK1,sK2) = sdtmndt0(xm,xm)
| ~ spl3_45 ),
inference(forward_demodulation,[],[f40716,f13890]) ).
fof(f41198,plain,
( sz00 = sdtpldt0(sK1,sK2)
| ~ spl3_12
| ~ spl3_45 ),
inference(forward_demodulation,[],[f41116,f11920]) ).
fof(f41408,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2)
| sz00 = sK1
| ~ spl3_12
| ~ spl3_45 ),
inference(superposition,[],[f80,f41198]) ).
fof(f41410,plain,
( ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2)
| sz00 = sK1
| ~ spl3_12
| ~ spl3_45 ),
inference(trivial_inequality_removal,[],[f41408]) ).
fof(f41413,plain,
( ~ aNaturalNumber0(sK2)
| sz00 = sK1
| ~ spl3_12
| ~ spl3_45 ),
inference(forward_subsumption_resolution,[],[f41410,f94]) ).
fof(f41420,plain,
( sz00 = sK1
| ~ spl3_12
| ~ spl3_45 ),
inference(forward_subsumption_resolution,[],[f41413,f92]) ).
fof(f41426,plain,
( $false
| spl3_1
| ~ spl3_12
| ~ spl3_45 ),
inference(forward_subsumption_resolution,[],[f41420,f228]) ).
fof(f41427,plain,
( spl3_1
| ~ spl3_12
| ~ spl3_45 ),
inference(avatar_contradiction_clause,[],[f41426]) ).
cnf(s11,plain,
spl3_12,
inference(sat_conversion,[],[f7483]) ).
cnf(s38,plain,
~ spl3_1,
inference(sat_conversion,[],[f20871]) ).
cnf(s45,plain,
spl3_45,
inference(sat_conversion,[],[f40298]) ).
cnf(s46,plain,
( spl3_1
| ~ spl3_12
| ~ spl3_45 ),
inference(sat_conversion,[],[f41427]) ).
cnf(s51,plain,
~ spl3_12,
inference(rat,[],[s46,s45,s38]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s11,s51]) ).
fof(f41430,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM459+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n016.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 20:05:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.21/2.41 % (2958310)Will run a generic schedule for satisfiability detection.
% 9.21/2.41 % (2958317)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=417332399:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.21/2.41 % (2958316)% WARNING: option uhcvi not known.
% 9.21/2.41 % (2958315)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=369556093_2999 on theBenchmark for (2999ds/0Mi)
% 9.21/2.41 % (2958316)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3116676828:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.21/2.41 % (2958318)dis+10_1_sil=32000:sp=arity:random_seed=1481420017:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.21/2.41 % (2958319)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=77157999:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.21/2.41 % (2958321)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2831147949:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.21/2.41 % (2958320)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2219390434:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.21/2.41 % TRYING [1]
% 9.21/2.41 % TRYING [2]
% 9.21/2.41 % TRYING [3]
% 9.21/2.41 % TRYING [4]
% 9.21/2.41 % TRYING [5]
% 9.21/2.41 % (2958318)Instruction limit reached!
% 9.21/2.41 % (2958318)------------------------------
% 9.21/2.41 % (2958318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958318)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958318)Termination reason: Instruction limit
% 9.21/2.41 % (2958318)Termination phase: Saturation
% 9.21/2.41 % (2958318)Time elapsed: 0.057 s
% 9.21/2.41 % (2958318)Peak memory usage: 12 MB
% 9.21/2.41 % (2958318)Instructions burned: 103 (million)
% 9.21/2.41 % (2958319)Instruction limit reached!
% 9.21/2.41 % (2958319)------------------------------
% 9.21/2.41 % (2958319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958319)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958319)Termination reason: Instruction limit
% 9.21/2.41 % (2958319)Termination phase: Saturation
% 9.21/2.41 % (2958319)Time elapsed: 0.060 s
% 9.21/2.41 % (2958319)Peak memory usage: 12 MB
% 9.21/2.41 % (2958319)Instructions burned: 118 (million)
% 9.21/2.41 % (2958320)Instruction limit reached!
% 9.21/2.41 % (2958320)------------------------------
% 9.21/2.41 % (2958320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958320)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958320)Termination reason: Instruction limit
% 9.21/2.41 % (2958320)Termination phase: Saturation
% 9.21/2.41 % (2958320)Time elapsed: 0.072 s
% 9.21/2.41 % (2958320)Peak memory usage: 13 MB
% 9.21/2.41 % (2958320)Instructions burned: 136 (million)
% 9.21/2.41 % (2958329)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4061983924:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 9.21/2.41 % (2958330)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4114910458:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 9.21/2.41 % TRYING [1]
% 9.21/2.41 % TRYING [2]
% 9.21/2.41 % TRYING [6]
% 9.21/2.41 % TRYING [3]
% 9.21/2.41 % TRYING [4]
% 9.21/2.41 % (2958321)Instruction limit reached!
% 9.21/2.41 % (2958321)------------------------------
% 9.21/2.41 % (2958321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958321)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958321)Termination reason: Instruction limit
% 9.21/2.41 % (2958321)Termination phase: Saturation
% 9.21/2.41 % (2958321)Time elapsed: 0.091 s
% 9.21/2.41 % (2958321)Peak memory usage: 15 MB
% 9.21/2.41 % (2958321)Instructions burned: 159 (million)
% 9.21/2.41 % (2958331)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=971352483:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 9.21/2.41 % TRYING [5]
% 9.21/2.41 % (2958335)ott-21_1_sil=16000:fs=off:random_seed=2410664069:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 9.21/2.41 % (2958330)Instruction limit reached!
% 9.21/2.41 % (2958330)------------------------------
% 9.21/2.41 % (2958330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958330)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958330)Termination reason: Instruction limit
% 9.21/2.41 % (2958330)Termination phase: Saturation
% 9.21/2.41 % (2958330)Time elapsed: 0.063 s
% 9.21/2.41 % (2958330)Peak memory usage: 12 MB
% 9.21/2.41 % (2958330)Instructions burned: 133 (million)
% 9.21/2.41 % (2958337)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2821665665:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 9.21/2.41 % TRYING [6]
% 9.21/2.41 % (2958335)Instruction limit reached!
% 9.21/2.41 % (2958335)------------------------------
% 9.21/2.41 % (2958335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958335)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958335)Termination reason: Instruction limit
% 9.21/2.41 % (2958335)Termination phase: Saturation
% 9.21/2.41 % (2958335)Time elapsed: 0.088 s
% 9.21/2.41 % (2958335)Peak memory usage: 13 MB
% 9.21/2.41 % (2958335)Instructions burned: 180 (million)
% 9.21/2.41 % (2958339)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=465813088:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 9.21/2.41 % TRYING [1]
% 9.21/2.41 % TRYING [2]
% 9.21/2.41 % TRYING [3]
% 9.21/2.41 % TRYING [7]
% 9.21/2.41 % TRYING [4]
% 9.21/2.41 % TRYING [5]
% 9.21/2.41 % (2958329)Instruction limit reached!
% 9.21/2.41 % (2958329)------------------------------
% 9.21/2.41 % (2958329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958329)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958329)Termination reason: Instruction limit
% 9.21/2.41 % (2958329)Termination phase: Finite model building SAT solving
% 9.21/2.41 % (2958329)Time elapsed: 0.306 s
% 9.21/2.41 % (2958329)Peak memory usage: 31 MB
% 9.21/2.41 % (2958329)Instructions burned: 715 (million)
% 9.21/2.41 % (2958341)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=989919678:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 9.21/2.41 % (2958331)Instruction limit reached!
% 9.21/2.41 % (2958331)------------------------------
% 9.21/2.41 % (2958331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958331)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958331)Termination reason: Instruction limit
% 9.21/2.41 % (2958331)Termination phase: Saturation
% 9.21/2.41 % (2958331)Time elapsed: 0.329 s
% 9.21/2.41 % (2958331)Peak memory usage: 18 MB
% 9.21/2.41 % (2958331)Instructions burned: 686 (million)
% 9.21/2.41 % TRYING [6]
% 9.21/2.41 % (2958343)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1095020348:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 9.21/2.41 % (2958337)Instruction limit reached!
% 9.21/2.41 % (2958337)------------------------------
% 9.21/2.41 % (2958337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958337)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958337)Termination reason: Instruction limit
% 9.21/2.41 % (2958337)Termination phase: Saturation
% 9.21/2.41 % (2958337)Time elapsed: 0.303 s
% 9.21/2.41 % (2958337)Peak memory usage: 14 MB
% 9.21/2.41 % (2958337)Instructions burned: 478 (million)
% 9.21/2.41 % (2958345)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=878881829: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)
% 9.21/2.41 % (2958339)Instruction limit reached!
% 9.21/2.41 % (2958339)------------------------------
% 9.21/2.41 % (2958339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958339)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958339)Termination reason: Instruction limit
% 9.21/2.41 % (2958339)Termination phase: Finite model building SAT solving
% 9.21/2.41 % (2958339)Time elapsed: 0.344 s
% 9.21/2.41 % (2958339)Peak memory usage: 25 MB
% 9.21/2.41 % (2958339)Instructions burned: 867 (million)
% 9.21/2.41 % TRYING [14]
% 9.21/2.41 % (2958347)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3147200771:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 9.21/2.41 % TRYING [8]
% 9.21/2.41 % (2958343)Instruction limit reached!
% 9.21/2.41 % (2958343)------------------------------
% 9.21/2.41 % (2958343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958343)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958343)Termination reason: Instruction limit
% 9.21/2.41 % (2958343)Termination phase: Finite model building constraint generation
% 9.21/2.41 % (2958343)Time elapsed: 0.332 s
% 9.21/2.41 % (2958343)Peak memory usage: 75 MB
% 9.21/2.41 % (2958343)Instructions burned: 890 (million)
% 9.21/2.41 % (2958349)fmb+10_1_sil=64000:random_seed=2491068325:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 9.21/2.41 % TRYING [1]
% 9.21/2.41 % TRYING [2]
% 9.21/2.41 % TRYING [3]
% 9.21/2.41 % TRYING [4]
% 9.21/2.41 % (2958345)Instruction limit reached!
% 9.21/2.41 % (2958345)------------------------------
% 9.21/2.41 % (2958345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958345)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958345)Termination reason: Instruction limit
% 9.21/2.41 % (2958345)Termination phase: Saturation
% 9.21/2.41 % (2958345)Time elapsed: 0.381 s
% 9.21/2.41 % (2958345)Peak memory usage: 24 MB
% 9.21/2.41 % (2958345)Instructions burned: 692 (million)
% 9.21/2.41 % TRYING [5]
% 9.21/2.41 % (2958351)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1362546982:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 9.21/2.41 % TRYING [20]
% 9.21/2.41 % (2958341)Instruction limit reached!
% 9.21/2.41 % (2958341)------------------------------
% 9.21/2.41 % (2958341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958341)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958341)Termination reason: Instruction limit
% 9.21/2.41 % (2958341)Termination phase: Saturation
% 9.21/2.41 % (2958341)Time elapsed: 0.610 s
% 9.21/2.41 % (2958341)Peak memory usage: 25 MB
% 9.21/2.41 % (2958341)Instructions burned: 1180 (million)
% 9.21/2.41 % TRYING [6]
% 9.21/2.41 % (2958353)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4160808090:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 9.21/2.41 % TRYING [8]
% 9.21/2.41 % (2958347)Instruction limit reached!
% 9.21/2.41 % (2958347)------------------------------
% 9.21/2.41 % (2958347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958347)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958347)Termination reason: Instruction limit
% 9.21/2.41 % (2958347)Termination phase: Saturation
% 9.21/2.41 % (2958347)Time elapsed: 0.499 s
% 9.21/2.41 % (2958347)Peak memory usage: 21 MB
% 9.21/2.41 % (2958347)Instructions burned: 880 (million)
% 9.21/2.41 % (2958355)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3784641381:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 9.21/2.41 % (2958353)Instruction limit reached!
% 9.21/2.41 % (2958353)------------------------------
% 9.21/2.41 % (2958353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958353)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958353)Termination reason: Instruction limit
% 9.21/2.41 % (2958353)Termination phase: Finite model building constraint generation
% 9.21/2.41 % (2958353)Time elapsed: 0.342 s
% 9.21/2.41 % (2958353)Peak memory usage: 65 MB
% 9.21/2.41 % (2958353)Instructions burned: 921 (million)
% 9.21/2.41 % TRYING [7]
% 9.21/2.41 % (2958357)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4175399329:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 9.21/2.41 % TRYING [9]
% 9.21/2.41 % (2958355) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2958310-2958355"...
% 9.21/2.41 % (2958355)...printing done.
% 9.21/2.41 % (2958355)Refutation found. Thanks to Tanya!
% 9.21/2.41 % SZS status Theorem for theBenchmark
% 9.21/2.41 % SZS output start Proof for theBenchmark
% See solution above
% 9.21/2.41 % (2958355)------------------------------
% 9.21/2.41 % (2958355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/2.41 % (2958355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.41 % (2958355)CaDiCaL version: 2.1.3
% 9.21/2.41 % (2958355)Termination reason: Refutation
% 9.21/2.41 % (2958355)Time elapsed: 0.803 s
% 9.21/2.41 % (2958355)Peak memory usage: 28 MB
% 9.21/2.41 % (2958355)Instructions burned: 1614 (million)
% 9.21/2.41 % (2958310)Success in time 1.985 s
% 9.21/2.41 % Vampire exiting
%------------------------------------------------------------------------------