%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM502+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 : n017.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 12:24:34 PM UTC 2026
% Result : Theorem 23.84s 3.89s
% Output : Refutation 23.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 22
% Syntax : Number of formulae : 156 ( 23 unt; 6 def)
% Number of atoms : 642 ( 185 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 801 ( 315 ~; 370 |; 89 &)
% ( 9 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 115 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
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(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
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(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
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(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f43,axiom,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xm )
| sdtlseqdt0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(f44,axiom,
( xn != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xp )
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f45,axiom,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f46,axiom,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
fof(f50,conjecture,
( xk != xp
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xk,X0) = xp )
| sdtlseqdt0(xk,xp) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f51,negated_conjecture,
~ ( xk != xp
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xk,X0) = xp )
| sdtlseqdt0(xk,xp) ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f53,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(rectify,[],[f41]) ).
fof(f54,plain,
( xn != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtpldt0(xm,X1) )
& sdtlseqdt0(xm,xp) ),
inference(rectify,[],[f44]) ).
fof(f60,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f61,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f60]) ).
fof(f72,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f77,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(f78,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,[],[f77]) ).
fof(f81,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f82,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f84,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f83]) ).
fof(f88,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f89,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f91,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f93,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f92]) ).
fof(f96,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(f97,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,[],[f96]) ).
fof(f126,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f127,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(flattening,[],[f126]) ).
fof(f129,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtpldt0(xp,X0) )
& ~ sdtlseqdt0(xp,xm) ),
inference(ennf_transformation,[],[f43]) ).
fof(f130,plain,
( sz00 != xk
& sz10 != xk ),
inference(ennf_transformation,[],[f46]) ).
fof(f133,plain,
( xp = xk
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp != sdtpldt0(xk,X0) )
& ~ sdtlseqdt0(xk,xp) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f138,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f147,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f153,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f157,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f82]) ).
fof(f158,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f159,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f165,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f166,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f167,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f173,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,[],[f97]) ).
fof(f175,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f201,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f202,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f203,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f243,plain,
sz00 != xp,
inference(cnf_transformation,[],[f127]) ).
fof(f246,plain,
! [X0] :
( xm != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f247,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f129]) ).
fof(f252,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f54]) ).
fof(f253,plain,
xm != xp,
inference(cnf_transformation,[],[f54]) ).
fof(f254,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f54]) ).
fof(f255,plain,
xn != xp,
inference(cnf_transformation,[],[f54]) ).
fof(f257,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f258,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f260,plain,
sz00 != xk,
inference(cnf_transformation,[],[f130]) ).
fof(f278,plain,
( ~ sdtlseqdt0(xk,xp)
| xp = xk ),
inference(cnf_transformation,[],[f133]) ).
fof(f294,definition,
( spl16_1
<=> xp = xk ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f296,plain,
( xp = xk
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f298,definition,
( spl16_2
<=> sdtlseqdt0(xk,xp) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f300,plain,
( ~ sdtlseqdt0(xk,xp)
| spl16_2 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f301,plain,
( spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f278,f298,f294]) ).
fof(f398,plain,
sz00 = sdtasdt0(sz00,xm),
inference(resolution,[],[f147,f202]) ).
fof(f1015,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f166,f247]) ).
fof(f1026,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f1015,f201]) ).
fof(f1028,plain,
! [X0] :
( ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1026,f202]) ).
fof(f2397,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| sdtlseqdt0(xp,xk)
| spl16_2 ),
inference(resolution,[],[f300,f167]) ).
fof(f2398,plain,
( ~ aNaturalNumber0(xk)
| sdtlseqdt0(xp,xk)
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f2397,f201]) ).
fof(f2432,plain,
( sdtlseqdt0(xp,xk)
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f2398,f258]) ).
fof(f2434,plain,
( ~ aNaturalNumber0(xp)
| xk = sdtpldt0(xp,sK0(xp,xk))
| ~ aNaturalNumber0(xk)
| spl16_2 ),
inference(resolution,[],[f2432,f158]) ).
fof(f2435,plain,
( xk = sdtpldt0(xp,sK0(xp,xk))
| ~ aNaturalNumber0(xk)
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f2434,f201]) ).
fof(f2437,plain,
( xk = sdtpldt0(xp,sK0(xp,xk))
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f2435,f258]) ).
fof(f2475,plain,
( xm != xk
| ~ aNaturalNumber0(sK0(xp,xk))
| spl16_2 ),
inference(superposition,[],[f246,f2437]) ).
fof(f2596,definition,
( spl16_10
<=> aNaturalNumber0(sK0(xp,xk)) ),
introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).
fof(f2598,plain,
( ~ aNaturalNumber0(sK0(xp,xk))
| spl16_10 ),
inference(avatar_component_clause,[],[f2596]) ).
fof(f2600,definition,
( spl16_11
<=> xm = xk ),
introduced(definition,[new_symbols(definition,[spl16_11])],[avatar_definition]) ).
fof(f2602,plain,
( xm != xk
| spl16_11 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f2603,plain,
( ~ spl16_10
| ~ spl16_11
| spl16_2 ),
inference(avatar_split_clause,[],[f2475,f298,f2600,f2596]) ).
fof(f2605,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xp,xk)
| spl16_10 ),
inference(resolution,[],[f2598,f159]) ).
fof(f2608,plain,
( ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xp,xk)
| spl16_10 ),
inference(forward_subsumption_resolution,[],[f2605,f201]) ).
fof(f2609,plain,
( ~ sdtlseqdt0(xp,xk)
| spl16_10 ),
inference(forward_subsumption_resolution,[],[f2608,f258]) ).
fof(f2610,plain,
( $false
| spl16_2
| spl16_10 ),
inference(forward_subsumption_resolution,[],[f2609,f2432]) ).
fof(f2611,plain,
( spl16_2
| spl16_10 ),
inference(avatar_contradiction_clause,[],[f2610]) ).
fof(f2734,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X2)
| X0 = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = sdtasdt0(X2,X1) ),
inference(resolution,[],[f173,f165]) ).
fof(f2747,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X2)
| X0 = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f2734,f153]) ).
fof(f2755,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X2)
| X0 = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f2747,f138]) ).
fof(f2763,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X2)
| X0 = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f2755,f138]) ).
fof(f2785,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,X0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| sz00 = xn
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f175,f257]) ).
fof(f2800,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| sz00 = xn
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f2785,f202]) ).
fof(f2812,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,X0))
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| sz00 = xn
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f2800,f203]) ).
fof(f2824,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xp),sdtasdt0(xn,X0))
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| sz00 = xn
| ~ aNaturalNumber0(X0) )
| ~ spl16_1 ),
inference(forward_demodulation,[],[f2812,f296]) ).
fof(f5678,definition,
( spl16_15
<=> sz00 = xn ),
introduced(definition,[new_symbols(definition,[spl16_15])],[avatar_definition]) ).
fof(f5679,plain,
( sz00 != xn
| spl16_15 ),
inference(avatar_component_clause,[],[f5678]) ).
fof(f5680,plain,
( sz00 = xn
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f5678]) ).
fof(f14684,definition,
( spl16_27
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xp),sdtasdt0(xn,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_27])],[avatar_definition]) ).
fof(f14685,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xp),sdtasdt0(xn,X0))
| ~ aNaturalNumber0(X0)
| xm = X0
| ~ sdtlseqdt0(xm,X0) )
| ~ spl16_27 ),
inference(avatar_component_clause,[],[f14684]) ).
fof(f14686,plain,
( spl16_15
| spl16_27
| ~ spl16_1 ),
inference(avatar_split_clause,[],[f2824,f294,f14684,f5678]) ).
fof(f69366,plain,
( ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xn,xp)
| xn = xp
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| xm = xp
| ~ sdtlseqdt0(xm,xp)
| ~ spl16_27 ),
inference(resolution,[],[f2763,f14685]) ).
fof(f69578,plain,
( ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xn,xp)
| xn = xp
| sz00 = xp
| ~ aNaturalNumber0(xn)
| xm = xp
| ~ sdtlseqdt0(xm,xp)
| ~ spl16_27 ),
inference(duplicate_literal_removal,[],[f69366]) ).
fof(f69757,plain,
( ~ sdtlseqdt0(xn,xp)
| xn = xp
| sz00 = xp
| ~ aNaturalNumber0(xn)
| xm = xp
| ~ sdtlseqdt0(xm,xp)
| ~ spl16_27 ),
inference(forward_subsumption_resolution,[],[f69578,f201]) ).
fof(f69848,plain,
( xn = xp
| sz00 = xp
| ~ aNaturalNumber0(xn)
| xm = xp
| ~ sdtlseqdt0(xm,xp)
| ~ spl16_27 ),
inference(forward_subsumption_resolution,[],[f69757,f254]) ).
fof(f69921,plain,
( sz00 = xp
| ~ aNaturalNumber0(xn)
| xm = xp
| ~ sdtlseqdt0(xm,xp)
| ~ spl16_27 ),
inference(forward_subsumption_resolution,[],[f69848,f255]) ).
fof(f69952,plain,
( ~ aNaturalNumber0(xn)
| xm = xp
| ~ sdtlseqdt0(xm,xp)
| ~ spl16_27 ),
inference(forward_subsumption_resolution,[],[f69921,f243]) ).
fof(f69979,plain,
( xm = xp
| ~ sdtlseqdt0(xm,xp)
| ~ spl16_27 ),
inference(forward_subsumption_resolution,[],[f69952,f203]) ).
fof(f69998,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ spl16_27 ),
inference(forward_subsumption_resolution,[],[f69979,f253]) ).
fof(f70005,plain,
( $false
| ~ spl16_27 ),
inference(forward_subsumption_resolution,[],[f69998,f252]) ).
fof(f70006,plain,
~ spl16_27,
inference(avatar_contradiction_clause,[],[f70005]) ).
fof(f70014,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,X0))
| ~ sdtlseqdt0(xm,X0)
| xm = X0
| ~ aNaturalNumber0(X0) )
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f2812,f5679]) ).
fof(f72879,plain,
( ~ sdtlseqdt0(xm,xk)
| xm = xk
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xn,xp)
| xn = xp
| sz00 = xk
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl16_15 ),
inference(resolution,[],[f70014,f2763]) ).
fof(f72912,plain,
( ~ sdtlseqdt0(xm,xk)
| xm = xk
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xn,xp)
| xn = xp
| sz00 = xk
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl16_15 ),
inference(duplicate_literal_removal,[],[f72879]) ).
fof(f72916,plain,
( ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xn,xp)
| xn = xp
| sz00 = xk
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl16_11
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f72912,f2602]) ).
fof(f72919,plain,
( ~ sdtlseqdt0(xm,xk)
| ~ sdtlseqdt0(xn,xp)
| xn = xp
| sz00 = xk
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl16_11
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f72916,f258]) ).
fof(f72920,plain,
( ~ sdtlseqdt0(xm,xk)
| xn = xp
| sz00 = xk
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl16_11
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f72919,f254]) ).
fof(f72921,plain,
( ~ sdtlseqdt0(xm,xk)
| sz00 = xk
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl16_11
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f72920,f255]) ).
fof(f72922,plain,
( ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl16_11
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f72921,f260]) ).
fof(f72923,plain,
( ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xn)
| spl16_11
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f72922,f201]) ).
fof(f72924,plain,
( ~ sdtlseqdt0(xm,xk)
| spl16_11
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f72923,f203]) ).
fof(f72929,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| sdtlseqdt0(xk,xm)
| spl16_11
| spl16_15 ),
inference(resolution,[],[f72924,f167]) ).
fof(f72930,plain,
( ~ aNaturalNumber0(xm)
| sdtlseqdt0(xk,xm)
| spl16_11
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f72929,f258]) ).
fof(f72935,plain,
( sdtlseqdt0(xk,xm)
| spl16_11
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f72930,f202]) ).
fof(f72984,plain,
( ~ sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xk)
| spl16_11
| spl16_15 ),
inference(resolution,[],[f72935,f1028]) ).
fof(f73049,plain,
( ~ aNaturalNumber0(xk)
| spl16_2
| spl16_11
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f72984,f2432]) ).
fof(f73082,plain,
( $false
| spl16_2
| spl16_11
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f73049,f258]) ).
fof(f73083,plain,
( spl16_2
| spl16_11
| spl16_15 ),
inference(avatar_contradiction_clause,[],[f73082]) ).
fof(f73154,plain,
( sdtasdt0(xp,xk) = sdtasdt0(sz00,xm)
| ~ spl16_15 ),
inference(superposition,[],[f257,f5680]) ).
fof(f73208,plain,
( sz00 = sdtasdt0(xp,xk)
| ~ spl16_15 ),
inference(forward_demodulation,[],[f73154,f398]) ).
fof(f79587,plain,
( sz00 != sz00
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| sz00 = xk
| sz00 = xp
| ~ spl16_15 ),
inference(superposition,[],[f157,f73208]) ).
fof(f79616,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| sz00 = xk
| sz00 = xp
| ~ spl16_15 ),
inference(trivial_inequality_removal,[],[f79587]) ).
fof(f79640,plain,
( ~ aNaturalNumber0(xk)
| sz00 = xk
| sz00 = xp
| ~ spl16_15 ),
inference(forward_subsumption_resolution,[],[f79616,f201]) ).
fof(f79670,plain,
( sz00 = xk
| sz00 = xp
| ~ spl16_15 ),
inference(forward_subsumption_resolution,[],[f79640,f258]) ).
fof(f79698,plain,
( sz00 = xp
| ~ spl16_15 ),
inference(forward_subsumption_resolution,[],[f79670,f260]) ).
fof(f79721,plain,
( $false
| ~ spl16_15 ),
inference(forward_subsumption_resolution,[],[f79698,f243]) ).
fof(f79722,plain,
~ spl16_15,
inference(avatar_contradiction_clause,[],[f79721]) ).
cnf(s1,plain,
( spl16_1
| ~ spl16_2 ),
inference(sat_conversion,[],[f301]) ).
cnf(s7,plain,
( spl16_2
| ~ spl16_10
| ~ spl16_11 ),
inference(sat_conversion,[],[f2603]) ).
cnf(s8,plain,
( spl16_2
| spl16_10 ),
inference(sat_conversion,[],[f2611]) ).
cnf(s25,plain,
( ~ spl16_1
| spl16_15
| spl16_27 ),
inference(sat_conversion,[],[f14686]) ).
cnf(s97,plain,
~ spl16_27,
inference(sat_conversion,[],[f70006]) ).
cnf(s99,plain,
( spl16_2
| spl16_11
| spl16_15 ),
inference(sat_conversion,[],[f73083]) ).
cnf(s108,plain,
~ spl16_15,
inference(sat_conversion,[],[f79722]) ).
cnf(s109,plain,
( spl16_2
| spl16_11 ),
inference(rat,[],[s99,s108]) ).
cnf(s126,plain,
~ spl16_1,
inference(rat,[],[s25,s97,s108]) ).
cnf(s128,plain,
~ spl16_2,
inference(rat,[],[s1,s126]) ).
cnf(s129,plain,
spl16_11,
inference(rat,[],[s109,s128]) ).
cnf(s130,plain,
spl16_10,
inference(rat,[],[s8,s128]) ).
cnf(s131,plain,
$false,
inference(rat,[],[s7,s129,s130,s128]) ).
fof(f79735,plain,
$false,
inference(avatar_sat_refutation,[],[s131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM502+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 20:09:36 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 13.89/2.44 % (2903986)Will run a generic schedule for satisfiability detection.
% 13.89/2.44 % (2903995)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2558005070:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.89/2.44 % (2903992)% WARNING: option uhcvi not known.
% 13.89/2.44 % (2903991)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2432418898_2999 on theBenchmark for (2999ds/0Mi)
% 13.89/2.44 % (2903994)dis+10_1_sil=32000:sp=arity:random_seed=3968549380:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.89/2.44 % (2903996)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2362398214:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.89/2.44 % (2903992)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3666709518:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.89/2.44 % (2903993)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=303477959:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.89/2.44 % (2903997)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2746941280:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.89/2.44 % Detected minimum model sizes of [3]
% 13.89/2.44 % Detected maximum model sizes of [max]
% 13.89/2.44 % TRYING [3]
% 13.89/2.44 % TRYING [4]
% 13.89/2.44 % (2903995)Instruction limit reached!
% 13.89/2.44 % (2903995)------------------------------
% 13.89/2.44 % (2903995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.44 % (2903995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.44 % (2903995)CaDiCaL version: 2.1.3
% 13.89/2.44 % (2903995)Termination reason: Instruction limit
% 13.89/2.44 % (2903995)Termination phase: Saturation
% 13.89/2.44 % (2903995)Time elapsed: 0.035 s
% 13.89/2.44 % (2903995)Peak memory usage: 13 MB
% 13.89/2.44 % (2903995)Instructions burned: 120 (million)
% 13.89/2.44 % (2904005)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1257564171:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.89/2.44 % Detected minimum model sizes of [3]
% 13.89/2.44 % Detected maximum model sizes of [max]
% 13.89/2.44 % TRYING [3]
% 13.89/2.44 % TRYING [4]
% 13.89/2.44 % TRYING [5]
% 13.89/2.44 % (2903994)Instruction limit reached!
% 13.89/2.44 % (2903994)------------------------------
% 13.89/2.44 % (2903994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.44 % (2903994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.44 % (2903994)CaDiCaL version: 2.1.3
% 13.89/2.44 % (2903994)Termination reason: Instruction limit
% 13.89/2.44 % (2903994)Termination phase: Saturation
% 13.89/2.44 % (2903994)Time elapsed: 0.060 s
% 13.89/2.44 % (2903994)Peak memory usage: 12 MB
% 13.89/2.44 % (2903994)Instructions burned: 105 (million)
% 13.89/2.44 % TRYING [5]
% 13.89/2.44 % (2903996)Instruction limit reached!
% 13.89/2.44 % (2903996)------------------------------
% 13.89/2.44 % (2903996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.44 % (2903996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.44 % (2903996)CaDiCaL version: 2.1.3
% 13.89/2.44 % (2903996)Termination reason: Instruction limit
% 13.89/2.44 % (2903996)Termination phase: Saturation
% 13.89/2.44 % (2903996)Time elapsed: 0.072 s
% 13.89/2.44 % (2903996)Peak memory usage: 13 MB
% 13.89/2.44 % (2903996)Instructions burned: 132 (million)
% 13.89/2.44 % (2904007)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2606414358:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.89/2.44 % (2904008)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=3221199196:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.89/2.44 % (2903997)Instruction limit reached!
% 13.89/2.44 % (2903997)------------------------------
% 13.89/2.44 % (2903997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.44 % (2903997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.44 % (2903997)CaDiCaL version: 2.1.3
% 13.89/2.44 % (2903997)Termination reason: Instruction limit
% 13.89/2.44 % (2903997)Termination phase: Saturation
% 13.89/2.44 % (2903997)Time elapsed: 0.095 s
% 13.89/2.44 % (2903997)Peak memory usage: 15 MB
% 13.89/2.44 % (2903997)Instructions burned: 161 (million)
% 13.89/2.44 % TRYING [6]
% 13.89/2.44 % (2904011)ott-21_1_sil=16000:fs=off:random_seed=2399700288:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.89/2.44 % (2904007)Instruction limit reached!
% 23.84/3.89 % (2904007)------------------------------
% 23.84/3.89 % (2904007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904007)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904007)Termination reason: Instruction limit
% 23.84/3.89 % (2904007)Termination phase: Saturation
% 23.84/3.89 % (2904007)Time elapsed: 0.066 s
% 23.84/3.89 % (2904007)Peak memory usage: 12 MB
% 23.84/3.89 % (2904007)Instructions burned: 131 (million)
% 23.84/3.89 % TRYING [6]
% 23.84/3.89 % (2904013)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=687031873:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 23.84/3.89 % (2904005)Instruction limit reached!
% 23.84/3.89 % (2904005)------------------------------
% 23.84/3.89 % (2904005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904005)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904005)Termination reason: Instruction limit
% 23.84/3.89 % (2904005)Termination phase: Finite model building constraint generation
% 23.84/3.89 % (2904005)Time elapsed: 0.139 s
% 23.84/3.89 % (2904005)Peak memory usage: 31 MB
% 23.84/3.89 % (2904005)Instructions burned: 716 (million)
% 23.84/3.89 % (2904015)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=233146917:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 23.84/3.89 % Detected minimum model sizes of [3]
% 23.84/3.89 % Detected maximum model sizes of [max]
% 23.84/3.89 % TRYING [3]
% 23.84/3.89 % (2904011)Instruction limit reached!
% 23.84/3.89 % (2904011)------------------------------
% 23.84/3.89 % (2904011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904011)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904011)Termination reason: Instruction limit
% 23.84/3.89 % (2904011)Termination phase: Saturation
% 23.84/3.89 % (2904011)Time elapsed: 0.094 s
% 23.84/3.89 % (2904011)Peak memory usage: 14 MB
% 23.84/3.89 % (2904011)Instructions burned: 180 (million)
% 23.84/3.89 % TRYING [4]
% 23.84/3.89 % (2904017)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2215627961:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 23.84/3.89 % TRYING [5]
% 23.84/3.89 % TRYING [7]
% 23.84/3.89 % (2904015)Instruction limit reached!
% 23.84/3.89 % (2904015)------------------------------
% 23.84/3.89 % (2904015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904015)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904015)Termination reason: Instruction limit
% 23.84/3.89 % (2904015)Termination phase: Finite model building SAT solving
% 23.84/3.89 % (2904015)Time elapsed: 0.193 s
% 23.84/3.89 % (2904015)Peak memory usage: 23 MB
% 23.84/3.89 % (2904015)Instructions burned: 868 (million)
% 23.84/3.89 % (2904019)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1862038903:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 23.84/3.89 % (2904013)Instruction limit reached!
% 23.84/3.89 % (2904013)------------------------------
% 23.84/3.89 % (2904013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904013)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904013)Termination reason: Instruction limit
% 23.84/3.89 % (2904013)Termination phase: Saturation
% 23.84/3.89 % (2904013)Time elapsed: 0.310 s
% 23.84/3.89 % (2904013)Peak memory usage: 14 MB
% 23.84/3.89 % (2904013)Instructions burned: 477 (million)
% 23.84/3.89 % (2904008)Instruction limit reached!
% 23.84/3.89 % (2904008)------------------------------
% 23.84/3.89 % (2904008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904008)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904008)Termination reason: Instruction limit
% 23.84/3.89 % (2904008)Termination phase: Saturation
% 23.84/3.89 % (2904008)Time elapsed: 0.388 s
% 23.84/3.89 % (2904008)Peak memory usage: 21 MB
% 23.84/3.89 % (2904008)Instructions burned: 684 (million)
% 23.84/3.89 % (2904021)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=324566224: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)
% 23.84/3.89 % (2904022)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=670558222:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 23.84/3.89 % TRYING [14]
% 23.84/3.89 % (2904019)Instruction limit reached!
% 23.84/3.89 % (2904019)------------------------------
% 23.84/3.89 % (2904019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904019)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904019)Termination reason: Instruction limit
% 23.84/3.89 % (2904019)Termination phase: Finite model building constraint generation
% 23.84/3.89 % (2904019)Time elapsed: 0.191 s
% 23.84/3.89 % (2904019)Peak memory usage: 76 MB
% 23.84/3.89 % (2904019)Instructions burned: 892 (million)
% 23.84/3.89 % (2904025)fmb+10_1_sil=64000:random_seed=3219438895:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 23.84/3.89 % Detected minimum model sizes of [3]
% 23.84/3.89 % Detected maximum model sizes of [max]
% 23.84/3.89 % TRYING [3]
% 23.84/3.89 % TRYING [4]
% 23.84/3.89 % TRYING [5]
% 23.84/3.89 % TRYING [8]
% 23.84/3.89 % TRYING [6]
% 23.84/3.89 % (2904021)Instruction limit reached!
% 23.84/3.89 % (2904021)------------------------------
% 23.84/3.89 % (2904021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904021)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904021)Termination reason: Instruction limit
% 23.84/3.89 % (2904021)Termination phase: Saturation
% 23.84/3.89 % (2904021)Time elapsed: 0.370 s
% 23.84/3.89 % (2904021)Peak memory usage: 20 MB
% 23.84/3.89 % (2904021)Instructions burned: 694 (million)
% 23.84/3.89 % (2904027)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3362308572:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 23.84/3.89 % Detected minimum model sizes of [3]
% 23.84/3.89 % Detected maximum model sizes of [max]
% 23.84/3.89 % TRYING [20]
% 23.84/3.89 % (2904017)Instruction limit reached!
% 23.84/3.89 % (2904017)------------------------------
% 23.84/3.89 % (2904017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904017)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904017)Termination reason: Instruction limit
% 23.84/3.89 % (2904017)Termination phase: Saturation
% 23.84/3.89 % (2904017)Time elapsed: 0.670 s
% 23.84/3.89 % (2904017)Peak memory usage: 22 MB
% 23.84/3.89 % (2904017)Instructions burned: 1180 (million)
% 23.84/3.89 % (2904029)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=590212579:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 23.84/3.89 % Detected minimum model sizes of [3]
% 23.84/3.89 % Detected maximum model sizes of [max]
% 23.84/3.89 % TRYING [8]
% 23.84/3.89 % (2904022)Instruction limit reached!
% 23.84/3.89 % (2904022)------------------------------
% 23.84/3.89 % (2904022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904022)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904022)Termination reason: Instruction limit
% 23.84/3.89 % (2904022)Termination phase: Saturation
% 23.84/3.89 % (2904022)Time elapsed: 0.504 s
% 23.84/3.89 % (2904022)Peak memory usage: 20 MB
% 23.84/3.89 % (2904022)Instructions burned: 881 (million)
% 23.84/3.89 % (2904031)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3923542787:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 23.84/3.89 % TRYING [7]
% 23.84/3.89 % (2904029)Instruction limit reached!
% 23.84/3.89 % (2904029)------------------------------
% 23.84/3.89 % (2904029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904029)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904029)Termination reason: Instruction limit
% 23.84/3.89 % (2904029)Termination phase: Finite model building constraint generation
% 23.84/3.89 % (2904029)Time elapsed: 0.340 s
% 23.84/3.89 % (2904029)Peak memory usage: 69 MB
% 23.84/3.89 % (2904029)Instructions burned: 922 (million)
% 23.84/3.89 % (2904033)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3108886815:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 23.84/3.89 % TRYING [9]
% 23.84/3.89 % (2904033)Instruction limit reached!
% 23.84/3.89 % (2904033)------------------------------
% 23.84/3.89 % (2904033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904033)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904033)Termination reason: Instruction limit
% 23.84/3.89 % (2904033)Termination phase: Saturation
% 23.84/3.89 % (2904033)Time elapsed: 0.680 s
% 23.84/3.89 % (2904033)Peak memory usage: 18 MB
% 23.84/3.89 % (2904033)Instructions burned: 1473 (million)
% 23.84/3.89 % (2904035)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1376776644:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 23.84/3.89 % Detected minimum model sizes of [3]
% 23.84/3.89 % Detected maximum model sizes of [max]
% 23.84/3.89 % TRYING [77]
% 23.84/3.89 % TRYING [8]
% 23.84/3.89 % (2904031) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2903986-2904031"...
% 23.84/3.89 % (2904031)...printing done.
% 23.84/3.89 % (2904031)Refutation found. Thanks to Tanya!
% 23.84/3.89 % SZS status Theorem for theBenchmark
% 23.84/3.89 % SZS output start Proof for theBenchmark
% See solution above
% 23.84/3.89 % (2904031)------------------------------
% 23.84/3.89 % (2904031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.84/3.89 % (2904031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/3.89 % (2904031)CaDiCaL version: 2.1.3
% 23.84/3.89 % (2904031)Termination reason: Refutation
% 23.84/3.89 % (2904031)Time elapsed: 2.313 s
% 23.84/3.89 % (2904031)Peak memory usage: 34 MB
% 23.84/3.89 % (2904031)Instructions burned: 4333 (million)
% 23.84/3.89 % (2903986)Success in time 3.456 s
% 23.84/3.89 % Vampire exiting
%------------------------------------------------------------------------------