%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM459+1 : 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 : n003.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 5.81s 1.35s
% Output : Refutation 5.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 15
% Syntax : Number of formulae : 144 ( 31 unt; 4 def)
% Number of atoms : 415 ( 113 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 490 ( 219 ~; 214 |; 35 &)
% ( 10 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 106 !; 5 ?)
% 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(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__745) ).
fof(f22,conjecture,
( ( sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xm) )
=> xm = xn ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f23,negated_conjecture,
~ ( ( sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xm) )
=> xm = xn ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f25,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f25]) ).
fof(f29,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f29]) ).
fof(f31,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(f32,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f46,plain,
! [X0,X1] :
( ( X0 = sz00
& X1 = sz00 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f47,plain,
! [X0,X1] :
( ( X0 = sz00
& X1 = sz00 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f51,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f50]) ).
fof(f52,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(f53,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f55,plain,
( xm != xn
& sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xm) ),
inference(ennf_transformation,[],[f23]) ).
fof(f56,plain,
( xm != xn
& sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xm) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f51]) ).
fof(f58,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f53]) ).
fof(f61,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f65,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f69,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f70,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f84,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f88,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f89,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f90,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f91,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f92,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f93,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f21]) ).
fof(f94,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f21]) ).
fof(f95,plain,
sdtlseqdt0(xn,xm),
inference(cnf_transformation,[],[f56]) ).
fof(f96,plain,
sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f56]) ).
fof(f97,plain,
xm != xn,
inference(cnf_transformation,[],[f56]) ).
fof(f98,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f88]) ).
fof(f99,plain,
! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f91]) ).
fof(f100,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sdtmndt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f90]) ).
fof(f101,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f89]) ).
fof(f104,plain,
xm = sdtpldt0(sz00,xm),
inference(resolution,[],[f69,f94]) ).
fof(f108,plain,
xm = sdtpldt0(xm,sz00),
inference(resolution,[],[f70,f94]) ).
fof(f150,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xm) = sdtpldt0(xm,X0) ),
inference(resolution,[],[f67,f94]) ).
fof(f151,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) ),
inference(resolution,[],[f67,f93]) ).
fof(f176,plain,
( aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f100,f95]) ).
fof(f177,plain,
( aNaturalNumber0(sdtmndt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f100,f96]) ).
fof(f180,plain,
( aNaturalNumber0(sdtmndt0(xn,xm))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f177,f94]) ).
fof(f181,plain,
( aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f176,f93]) ).
fof(f182,plain,
aNaturalNumber0(sdtmndt0(xn,xm)),
inference(forward_subsumption_resolution,[],[f180,f93]) ).
fof(f183,plain,
aNaturalNumber0(sdtmndt0(xm,xn)),
inference(forward_subsumption_resolution,[],[f181,f94]) ).
fof(f214,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f98,f104]) ).
fof(f221,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f225,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00) ),
inference(forward_subsumption_resolution,[],[f221,f94]) ).
fof(f229,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[],[f225,f62]) ).
fof(f264,plain,
( xm = sdtpldt0(xn,sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f101,f95]) ).
fof(f265,plain,
( xn = sdtpldt0(xm,sdtmndt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f101,f96]) ).
fof(f271,plain,
( xn = sdtpldt0(xm,sdtmndt0(xn,xm))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f265,f94]) ).
fof(f272,plain,
( xm = sdtpldt0(xn,sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f264,f93]) ).
fof(f273,plain,
xn = sdtpldt0(xm,sdtmndt0(xn,xm)),
inference(forward_subsumption_resolution,[],[f271,f93]) ).
fof(f274,plain,
xm = sdtpldt0(xn,sdtmndt0(xm,xn)),
inference(forward_subsumption_resolution,[],[f272,f94]) ).
fof(f392,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm)) ),
inference(resolution,[],[f68,f94]) ).
fof(f531,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) ),
inference(resolution,[],[f99,f98]) ).
fof(f532,plain,
( ~ sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| xm = sdtmndt0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f99,f104]) ).
fof(f534,plain,
( ~ sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(xm,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f99,f108]) ).
fof(f539,plain,
( ~ sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(xm,xm)
| ~ aNaturalNumber0(xm) ),
inference(duplicate_literal_removal,[],[f534]) ).
fof(f541,plain,
( ~ sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| xm = sdtmndt0(xm,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(duplicate_literal_removal,[],[f532]) ).
fof(f542,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X0)) ),
inference(duplicate_literal_removal,[],[f531]) ).
fof(f546,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(xm,xm)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f539,f92]) ).
fof(f548,plain,
( ~ aNaturalNumber0(xm)
| xm = sdtmndt0(xm,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(forward_subsumption_resolution,[],[f541,f229]) ).
fof(f549,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtmndt0(sdtpldt0(X1,X0),X1) = X0
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f542,f65]) ).
fof(f553,plain,
( sz00 = sdtmndt0(xm,xm)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f546,f62]) ).
fof(f555,plain,
( xm = sdtmndt0(xm,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(forward_subsumption_resolution,[],[f548,f94]) ).
fof(f559,plain,
sz00 = sdtmndt0(xm,xm),
inference(forward_subsumption_resolution,[],[f553,f94]) ).
fof(f561,plain,
xm = sdtmndt0(xm,sz00),
inference(forward_subsumption_resolution,[],[f555,f62]) ).
fof(f871,plain,
sdtpldt0(xm,sdtmndt0(xn,xm)) = sdtpldt0(sdtmndt0(xn,xm),xm),
inference(resolution,[],[f150,f182]) ).
fof(f883,plain,
xn = sdtpldt0(sdtmndt0(xn,xm),xm),
inference(forward_demodulation,[],[f871,f273]) ).
fof(f925,plain,
sdtpldt0(xn,sdtmndt0(xm,xn)) = sdtpldt0(sdtmndt0(xm,xn),xn),
inference(resolution,[],[f151,f183]) ).
fof(f936,plain,
xm = sdtpldt0(sdtmndt0(xm,xn),xn),
inference(forward_demodulation,[],[f925,f274]) ).
fof(f1012,plain,
( sdtlseqdt0(sdtmndt0(xm,xn),xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f98,f936]) ).
fof(f1013,plain,
( ~ sdtlseqdt0(sdtmndt0(xm,xn),xm)
| ~ aNaturalNumber0(xn)
| xn = sdtmndt0(xm,sdtmndt0(xm,xn))
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f99,f936]) ).
fof(f1014,plain,
( ~ sdtlseqdt0(sdtmndt0(xm,xn),xm)
| xn = sdtmndt0(xm,sdtmndt0(xm,xn))
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f1013,f93]) ).
fof(f1015,plain,
( sdtlseqdt0(sdtmndt0(xm,xn),xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f1012,f93]) ).
fof(f1020,plain,
( ~ sdtlseqdt0(sdtmndt0(xm,xn),xm)
| xn = sdtmndt0(xm,sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f1014,f183]) ).
fof(f1021,plain,
( sdtlseqdt0(sdtmndt0(xm,xn),xm)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f1015,f183]) ).
fof(f1026,plain,
( ~ sdtlseqdt0(sdtmndt0(xm,xn),xm)
| xn = sdtmndt0(xm,sdtmndt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f1020,f94]) ).
fof(f1027,plain,
sdtlseqdt0(sdtmndt0(xm,xn),xm),
inference(forward_subsumption_resolution,[],[f1021,f94]) ).
fof(f1029,definition,
( spl1_12
<=> xn = sdtmndt0(xm,sdtmndt0(xm,xn)) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f1031,plain,
( xn = sdtmndt0(xm,sdtmndt0(xm,xn))
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1033,definition,
( spl1_13
<=> sdtlseqdt0(sdtmndt0(xm,xn),xm) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
fof(f1036,plain,
( spl1_12
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f1026,f1033,f1029]) ).
fof(f1037,plain,
spl1_13,
inference(avatar_split_clause,[],[f1027,f1033]) ).
fof(f1469,definition,
( spl1_15
<=> sz00 = sdtmndt0(xm,xn) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f1470,plain,
( sz00 != sdtmndt0(xm,xn)
| spl1_15 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1471,plain,
( sz00 = sdtmndt0(xm,xn)
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1559,plain,
( xn = sdtmndt0(xm,sz00)
| ~ spl1_12
| ~ spl1_15 ),
inference(superposition,[],[f1031,f1471]) ).
fof(f1564,plain,
( xm = xn
| ~ spl1_12
| ~ spl1_15 ),
inference(forward_demodulation,[],[f1559,f561]) ).
fof(f1565,plain,
( $false
| ~ spl1_12
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f1564,f97]) ).
fof(f1566,plain,
( ~ spl1_12
| ~ spl1_15 ),
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1597,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(xm,X0),xm) = X0 ),
inference(resolution,[],[f549,f94]) ).
fof(f1872,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,sdtmndt0(xn,xm)),xm) = sdtpldt0(X0,sdtpldt0(sdtmndt0(xn,xm),xm)) ),
inference(resolution,[],[f392,f182]) ).
fof(f1890,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,sdtmndt0(xn,xm)),xm) ),
inference(forward_demodulation,[],[f1872,f883]) ).
fof(f5087,plain,
sdtpldt0(sdtmndt0(xm,xn),xn) = sdtpldt0(sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm)),xm),
inference(resolution,[],[f1890,f183]) ).
fof(f5115,plain,
xm = sdtpldt0(sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm)),xm),
inference(forward_demodulation,[],[f5087,f936]) ).
fof(f12014,definition,
( spl1_47
<=> aNaturalNumber0(sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm))) ),
introduced(definition,[new_symbols(definition,[spl1_47])],[avatar_definition]) ).
fof(f12015,plain,
( aNaturalNumber0(sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm)))
| ~ spl1_47 ),
inference(avatar_component_clause,[],[f12014]) ).
fof(f12016,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm)))
| spl1_47 ),
inference(avatar_component_clause,[],[f12014]) ).
fof(f12133,plain,
( ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(sdtmndt0(xn,xm))
| spl1_47 ),
inference(resolution,[],[f12016,f65]) ).
fof(f12134,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xm))
| spl1_47 ),
inference(forward_subsumption_resolution,[],[f12133,f183]) ).
fof(f12135,plain,
( $false
| spl1_47 ),
inference(forward_subsumption_resolution,[],[f12134,f182]) ).
fof(f12136,plain,
spl1_47,
inference(avatar_contradiction_clause,[],[f12135]) ).
fof(f12294,plain,
( sdtpldt0(sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm)),xm) = sdtpldt0(xm,sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm)))
| ~ spl1_47 ),
inference(resolution,[],[f12015,f150]) ).
fof(f12444,plain,
( xm = sdtpldt0(xm,sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm)))
| ~ spl1_47 ),
inference(forward_demodulation,[],[f12294,f5115]) ).
fof(f20355,plain,
( sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm)) = sdtmndt0(sdtpldt0(xm,sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm))),xm)
| ~ spl1_47 ),
inference(resolution,[],[f1597,f12015]) ).
fof(f20434,plain,
( sdtmndt0(xm,xm) = sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm))
| ~ spl1_47 ),
inference(forward_demodulation,[],[f20355,f12444]) ).
fof(f20444,plain,
( sz00 = sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm))
| ~ spl1_47 ),
inference(forward_demodulation,[],[f20434,f559]) ).
fof(f22596,plain,
( sz00 != sz00
| sz00 = sdtmndt0(xm,xn)
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(sdtmndt0(xn,xm))
| ~ spl1_47 ),
inference(superposition,[],[f84,f20444]) ).
fof(f22601,plain,
( sz00 = sdtmndt0(xm,xn)
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(sdtmndt0(xn,xm))
| ~ spl1_47 ),
inference(trivial_inequality_removal,[],[f22596]) ).
fof(f22607,plain,
( ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(sdtmndt0(xn,xm))
| spl1_15
| ~ spl1_47 ),
inference(forward_subsumption_resolution,[],[f22601,f1470]) ).
fof(f22618,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xm))
| spl1_15
| ~ spl1_47 ),
inference(forward_subsumption_resolution,[],[f22607,f183]) ).
fof(f22626,plain,
( $false
| spl1_15
| ~ spl1_47 ),
inference(forward_subsumption_resolution,[],[f22618,f182]) ).
fof(f22627,plain,
( spl1_15
| ~ spl1_47 ),
inference(avatar_contradiction_clause,[],[f22626]) ).
cnf(s14,plain,
( spl1_12
| ~ spl1_13 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s15,plain,
spl1_13,
inference(sat_conversion,[],[f1037]) ).
cnf(s20,plain,
( ~ spl1_12
| ~ spl1_15 ),
inference(sat_conversion,[],[f1566]) ).
cnf(s61,plain,
spl1_47,
inference(sat_conversion,[],[f12136]) ).
cnf(s108,plain,
( spl1_15
| ~ spl1_47 ),
inference(sat_conversion,[],[f22627]) ).
cnf(s118,plain,
spl1_15,
inference(rat,[],[s108,s61]) ).
cnf(s159,plain,
~ spl1_12,
inference(rat,[],[s20,s118]) ).
cnf(s160,plain,
$false,
inference(rat,[],[s14,s15,s159]) ).
fof(f22640,plain,
$false,
inference(avatar_sat_refutation,[],[s160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM459+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n003.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 20:02:11 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 5.81/1.35 % (888764)Will run a generic schedule for satisfiability detection.
% 5.81/1.35 % (888771)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=538109202:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.81/1.35 % (888770)% WARNING: option uhcvi not known.
% 5.81/1.35 % (888769)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=827915950_2999 on theBenchmark for (2999ds/0Mi)
% 5.81/1.35 % (888773)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=75046700:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.81/1.35 % (888774)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3230628500:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.81/1.35 % (888770)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2082703849:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.81/1.35 % (888772)dis+10_1_sil=32000:sp=arity:random_seed=2257344707:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.81/1.35 % (888775)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3830975292:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.81/1.35 % TRYING [1]
% 5.81/1.35 % TRYING [2]
% 5.81/1.35 % TRYING [3]
% 5.81/1.35 % TRYING [4]
% 5.81/1.35 % TRYING [5]
% 5.81/1.35 % (888772)Instruction limit reached!
% 5.81/1.35 % (888772)------------------------------
% 5.81/1.35 % (888772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888772)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888772)Termination reason: Instruction limit
% 5.81/1.35 % (888772)Termination phase: Saturation
% 5.81/1.35 % (888772)Time elapsed: 0.058 s
% 5.81/1.35 % (888772)Peak memory usage: 12 MB
% 5.81/1.35 % (888772)Instructions burned: 103 (million)
% 5.81/1.35 % (888773)Instruction limit reached!
% 5.81/1.35 % (888773)------------------------------
% 5.81/1.35 % (888773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888773)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888773)Termination reason: Instruction limit
% 5.81/1.35 % (888773)Termination phase: Saturation
% 5.81/1.35 % (888773)Time elapsed: 0.065 s
% 5.81/1.35 % (888773)Peak memory usage: 13 MB
% 5.81/1.35 % (888773)Instructions burned: 118 (million)
% 5.81/1.35 % (888774)Instruction limit reached!
% 5.81/1.35 % (888774)------------------------------
% 5.81/1.35 % (888774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888774)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888774)Termination reason: Instruction limit
% 5.81/1.35 % (888774)Termination phase: Saturation
% 5.81/1.35 % (888774)Time elapsed: 0.073 s
% 5.81/1.35 % (888774)Peak memory usage: 13 MB
% 5.81/1.35 % (888774)Instructions burned: 132 (million)
% 5.81/1.35 % (888783)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3350135908:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.81/1.35 % TRYING [1]
% 5.81/1.35 % TRYING [2]
% 5.81/1.35 % TRYING [6]
% 5.81/1.35 % TRYING [3]
% 5.81/1.35 % (888784)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3097707317:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.81/1.35 % TRYING [4]
% 5.81/1.35 % (888785)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=1442710403:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.81/1.35 % (888775)Instruction limit reached!
% 5.81/1.35 % (888775)------------------------------
% 5.81/1.35 % (888775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888775)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888775)Termination reason: Instruction limit
% 5.81/1.35 % (888775)Termination phase: Saturation
% 5.81/1.35 % (888775)Time elapsed: 0.098 s
% 5.81/1.35 % (888775)Peak memory usage: 14 MB
% 5.81/1.35 % (888775)Instructions burned: 160 (million)
% 5.81/1.35 % TRYING [5]
% 5.81/1.35 % (888789)ott-21_1_sil=16000:fs=off:random_seed=2026059704:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.81/1.35 % (888784)Instruction limit reached!
% 5.81/1.35 % (888784)------------------------------
% 5.81/1.35 % (888784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888784)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888784)Termination reason: Instruction limit
% 5.81/1.35 % (888784)Termination phase: Saturation
% 5.81/1.35 % (888784)Time elapsed: 0.066 s
% 5.81/1.35 % (888784)Peak memory usage: 12 MB
% 5.81/1.35 % (888784)Instructions burned: 133 (million)
% 5.81/1.35 % (888791)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4191611867:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.81/1.35 % TRYING [6]
% 5.81/1.35 % (888789)Instruction limit reached!
% 5.81/1.35 % (888789)------------------------------
% 5.81/1.35 % (888789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888789)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888789)Termination reason: Instruction limit
% 5.81/1.35 % (888789)Termination phase: Saturation
% 5.81/1.35 % (888789)Time elapsed: 0.093 s
% 5.81/1.35 % (888789)Peak memory usage: 13 MB
% 5.81/1.35 % (888789)Instructions burned: 181 (million)
% 5.81/1.35 % (888793)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2658517117:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.81/1.35 % TRYING [7]
% 5.81/1.35 % TRYING [1]
% 5.81/1.35 % TRYING [2]
% 5.81/1.35 % TRYING [3]
% 5.81/1.35 % TRYING [4]
% 5.81/1.35 % TRYING [5]
% 5.81/1.35 % (888783)Instruction limit reached!
% 5.81/1.35 % (888783)------------------------------
% 5.81/1.35 % (888783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888783)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888783)Termination reason: Instruction limit
% 5.81/1.35 % (888783)Termination phase: Finite model building SAT solving
% 5.81/1.35 % (888783)Time elapsed: 0.303 s
% 5.81/1.35 % (888783)Peak memory usage: 31 MB
% 5.81/1.35 % (888783)Instructions burned: 716 (million)
% 5.81/1.35 % (888795)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3777684712:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 5.81/1.35 % (888785)Instruction limit reached!
% 5.81/1.35 % (888785)------------------------------
% 5.81/1.35 % (888785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888785)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888785)Termination reason: Instruction limit
% 5.81/1.35 % (888785)Termination phase: Saturation
% 5.81/1.35 % (888785)Time elapsed: 0.340 s
% 5.81/1.35 % (888785)Peak memory usage: 18 MB
% 5.81/1.35 % (888785)Instructions burned: 685 (million)
% 5.81/1.35 % TRYING [6]
% 5.81/1.35 % (888797)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4099038824:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 5.81/1.35 % (888791)Instruction limit reached!
% 5.81/1.35 % (888791)------------------------------
% 5.81/1.35 % (888791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888791)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888791)Termination reason: Instruction limit
% 5.81/1.35 % (888791)Termination phase: Saturation
% 5.81/1.35 % (888791)Time elapsed: 0.304 s
% 5.81/1.35 % (888791)Peak memory usage: 13 MB
% 5.81/1.35 % (888791)Instructions burned: 479 (million)
% 5.81/1.35 % (888799)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=937665510: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)
% 5.81/1.35 % (888793)Instruction limit reached!
% 5.81/1.35 % (888793)------------------------------
% 5.81/1.35 % (888793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888793)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888793)Termination reason: Instruction limit
% 5.81/1.35 % (888793)Termination phase: Finite model building SAT solving
% 5.81/1.35 % (888793)Time elapsed: 0.340 s
% 5.81/1.35 % (888793)Peak memory usage: 25 MB
% 5.81/1.35 % (888793)Instructions burned: 865 (million)
% 5.81/1.35 % TRYING [14]
% 5.81/1.35 % (888801)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2040014845:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 5.81/1.35 % TRYING [8]
% 5.81/1.35 % (888797)Instruction limit reached!
% 5.81/1.35 % (888797)------------------------------
% 5.81/1.35 % (888797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888797)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888797)Termination reason: Instruction limit
% 5.81/1.35 % (888797)Termination phase: Finite model building constraint generation
% 5.81/1.35 % (888797)Time elapsed: 0.331 s
% 5.81/1.35 % (888797)Peak memory usage: 75 MB
% 5.81/1.35 % (888797)Instructions burned: 891 (million)
% 5.81/1.35 % (888803)fmb+10_1_sil=64000:random_seed=585382212:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 5.81/1.35 % TRYING [1]
% 5.81/1.35 % TRYING [2]
% 5.81/1.35 % TRYING [3]
% 5.81/1.35 % TRYING [4]
% 5.81/1.35 % (888795) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-888764-888795"...
% 5.81/1.35 % (888799)Instruction limit reached!
% 5.81/1.35 % (888799)------------------------------
% 5.81/1.35 % (888799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888799)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888799)Termination reason: Instruction limit
% 5.81/1.35 % (888799)Termination phase: Saturation
% 5.81/1.35 % (888799)Time elapsed: 0.366 s
% 5.81/1.35 % (888799)Peak memory usage: 30 MB
% 5.81/1.35 % (888799)Instructions burned: 694 (million)
% 5.81/1.35 % (888795)...printing done.
% 5.81/1.35 % (888795)Refutation found. Thanks to Tanya!
% 5.81/1.35 % SZS status Theorem for theBenchmark
% 5.81/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 5.81/1.35 % (888795)------------------------------
% 5.81/1.35 % (888795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.81/1.35 % (888795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.35 % (888795)CaDiCaL version: 2.1.3
% 5.81/1.35 % (888795)Termination reason: Refutation
% 5.81/1.35 % (888795)Time elapsed: 0.455 s
% 5.81/1.35 % (888795)Peak memory usage: 24 MB
% 5.81/1.35 % (888795)Instructions burned: 868 (million)
% 5.81/1.35 % (888764)Success in time 0.904 s
% 5.81/1.35 % Vampire exiting
%------------------------------------------------------------------------------