%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG066+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:35:22 PM UTC 2026
% Result : Theorem 10.18s 5.32s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 41
% Syntax : Number of formulae : 308 ( 66 unt; 13 def)
% Number of atoms : 1043 ( 94 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1407 ( 672 ~; 646 |; 60 &)
% ( 9 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 20 con; 0-2 aty)
% Number of variables : 274 ( 0 sgn 274 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(sz0z00,X0)
& sdtlseqdt0(sz0z00,X1) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(f42,axiom,
( aVector0(xp)
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( aVector0(xq)
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(f49,axiom,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f59,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f61,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(flattening,[],[f60]) ).
fof(f72,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f73,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f77,plain,
! [X0] :
( ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f78]) ).
fof(f84,plain,
! [X0,X1] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f85,plain,
! [X0,X1] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f84]) ).
fof(f90,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f91,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f92,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f91]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f100,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f102,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f114,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f115,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f114]) ).
fof(f120,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f130,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f131,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f132,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f133,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f135,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f136,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f139,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f140,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f141,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f143,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f149,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f150,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f152,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f153,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f92]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f96]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f98]) ).
fof(f157,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f158,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f159,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f160,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f170,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f173,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f180,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f182,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
fof(f184,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f186,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f187,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f188,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f189,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f190,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f193,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f194,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f195,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f196,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f199,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f200,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f202,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f203,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f204,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f210,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cnf_transformation,[],[f61]) ).
fof(f214,definition,
sF2 = sdtpldt0(xP,xP),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f215,plain,
sdtpldt0(xP,xP) = sF2,
inference(reorient_equations,[],[f214]) ).
fof(f216,definition,
sF3 = sdtasdt0(sF2,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f217,plain,
sdtasdt0(sF2,sF2) = sF3,
inference(reorient_equations,[],[f216]) ).
fof(f218,definition,
sF4 = sdtpldt0(xR,xS),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f219,plain,
sdtpldt0(xR,xS) = sF4,
inference(reorient_equations,[],[f218]) ).
fof(f220,definition,
sF5 = sdtasdt0(sF4,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f221,plain,
sdtasdt0(sF4,sF4) = sF5,
inference(reorient_equations,[],[f220]) ).
fof(f222,plain,
~ sdtlseqdt0(sF3,sF5),
inference(definition_folding,[],[f210,f221,f219,f219,f217,f215,f215]) ).
fof(f223,plain,
( aScalar0(sF4)
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(superposition,[],[f131,f219]) ).
fof(f224,plain,
( aScalar0(sF4)
| ~ aScalar0(xS) ),
inference(forward_subsumption_resolution,[],[f223,f200]) ).
fof(f225,plain,
aScalar0(sF4),
inference(forward_subsumption_resolution,[],[f224,f204]) ).
fof(f228,plain,
( aScalar0(sF2)
| ~ aScalar0(xP)
| ~ aScalar0(xP) ),
inference(superposition,[],[f131,f215]) ).
fof(f229,plain,
( aScalar0(sF2)
| ~ aScalar0(xP) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f230,plain,
aScalar0(sF2),
inference(forward_subsumption_resolution,[],[f229,f202]) ).
fof(f232,plain,
( aScalar0(sF5)
| ~ aScalar0(sF4)
| ~ aScalar0(sF4) ),
inference(superposition,[],[f132,f221]) ).
fof(f233,plain,
( aScalar0(sF5)
| ~ aScalar0(sF4) ),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f234,plain,
aScalar0(sF5),
inference(forward_subsumption_resolution,[],[f233,f225]) ).
fof(f260,plain,
! [X0,X1] :
( sdtlseqdt0(sF5,sdtasdt0(X1,X0))
| ~ aScalar0(sF4)
| ~ aScalar0(X1)
| ~ aScalar0(sF4)
| ~ sdtlseqdt0(sF4,X0)
| ~ sdtlseqdt0(sz0z00,sF4)
| ~ sdtlseqdt0(sF4,X1)
| ~ aScalar0(X0) ),
inference(superposition,[],[f156,f221]) ).
fof(f269,plain,
! [X0,X1] :
( sdtlseqdt0(sF5,sdtasdt0(X1,X0))
| ~ aScalar0(sF4)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sF4,X0)
| ~ sdtlseqdt0(sz0z00,sF4)
| ~ sdtlseqdt0(sF4,X1)
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f260]) ).
fof(f275,plain,
! [X0,X1] :
( sdtlseqdt0(sF5,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sF4,X0)
| ~ sdtlseqdt0(sz0z00,sF4)
| ~ sdtlseqdt0(sF4,X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f269,f225]) ).
fof(f404,plain,
( sdtlseqdt0(sz0z00,sF5)
| ~ aScalar0(sF4) ),
inference(superposition,[],[f160,f221]) ).
fof(f406,plain,
sdtlseqdt0(sz0z00,sF5),
inference(forward_subsumption_resolution,[],[f404,f225]) ).
fof(f772,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[],[f160,f195]) ).
fof(f785,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[],[f772,f186]) ).
fof(f813,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[],[f160,f193]) ).
fof(f826,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[],[f813,f184]) ).
fof(f894,plain,
( sdtasdt0(sF2,smndt0(sF2)) = smndt0(sF3)
| ~ aScalar0(sF2)
| ~ aScalar0(sF2) ),
inference(superposition,[],[f150,f217]) ).
fof(f897,plain,
( sdtasdt0(sF2,smndt0(sF2)) = smndt0(sF3)
| ~ aScalar0(sF2) ),
inference(duplicate_literal_removal,[],[f894]) ).
fof(f904,plain,
sdtasdt0(sF2,smndt0(sF2)) = smndt0(sF3),
inference(forward_subsumption_resolution,[],[f897,f230]) ).
fof(f928,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[],[f156,f139]) ).
fof(f942,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f928]) ).
fof(f960,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f942,f130]) ).
fof(f980,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2) ),
inference(superposition,[],[f155,f141]) ).
fof(f981,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[],[f155,f141]) ).
fof(f985,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f981]) ).
fof(f986,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sz0z00) ),
inference(duplicate_literal_removal,[],[f980]) ).
fof(f993,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X2,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f985,f130]) ).
fof(f994,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,X2) ),
inference(forward_subsumption_resolution,[],[f986,f130]) ).
fof(f1064,plain,
( sdtlseqdt0(sz0z00,sF4)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS) ),
inference(superposition,[],[f159,f219]) ).
fof(f1072,plain,
( sdtlseqdt0(sz0z00,sF4)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS) ),
inference(forward_subsumption_resolution,[],[f1064,f200]) ).
fof(f1076,plain,
( sdtlseqdt0(sz0z00,sF4)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[],[f1072,f204]) ).
fof(f1111,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD) ),
inference(superposition,[],[f158,f203]) ).
fof(f1124,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f1111,f194]) ).
fof(f1130,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f1124,f826]) ).
fof(f1134,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(forward_subsumption_resolution,[],[f1130,f190]) ).
fof(f1211,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(smndt0(X0),X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[],[f155,f136]) ).
fof(f1212,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X0,smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X1) ),
inference(superposition,[],[f155,f136]) ).
fof(f1216,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(X0) ),
inference(superposition,[],[f993,f136]) ).
fof(f1217,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X1))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(smndt0(X1),X0)
| ~ aScalar0(X1) ),
inference(superposition,[],[f994,f136]) ).
fof(f1219,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X1))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(smndt0(X1),X0) ),
inference(duplicate_literal_removal,[],[f1217]) ).
fof(f1220,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,smndt0(X0))
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f1216]) ).
fof(f1224,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X0,smndt0(X1))
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f1212]) ).
fof(f1225,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(smndt0(X0),X2)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f1211]) ).
fof(f1230,plain,
! [X0,X1] :
( ~ sdtlseqdt0(smndt0(X1),X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[],[f1219,f133]) ).
fof(f1231,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,smndt0(X0))
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f1220,f133]) ).
fof(f1233,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X0,smndt0(X1))
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f1224,f133]) ).
fof(f1234,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(smndt0(X0),X2)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f1225,f133]) ).
fof(f1247,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(smndt0(X1),smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(X0) ),
inference(superposition,[],[f1234,f136]) ).
fof(f1251,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(smndt0(X1),smndt0(X0))
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f1247]) ).
fof(f1259,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(smndt0(X1),smndt0(X0))
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f1251,f133]) ).
fof(f1276,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[],[f1233,f140]) ).
fof(f1287,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f1276]) ).
fof(f1296,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f1287,f130]) ).
fof(f1317,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG) ),
inference(superposition,[],[f158,f199]) ).
fof(f1318,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f1317,f188]) ).
fof(f1331,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f1318,f785]) ).
fof(f1344,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC) ),
inference(forward_subsumption_resolution,[],[f1331,f196]) ).
fof(f1405,plain,
( smndt0(sF3) = sdtasdt0(smndt0(sF2),sF2)
| ~ aScalar0(sF2)
| ~ aScalar0(sF2) ),
inference(superposition,[],[f149,f217]) ).
fof(f1406,plain,
( smndt0(sF5) = sdtasdt0(smndt0(sF4),sF4)
| ~ aScalar0(sF4)
| ~ aScalar0(sF4) ),
inference(superposition,[],[f149,f221]) ).
fof(f1414,plain,
( smndt0(sF5) = sdtasdt0(smndt0(sF4),sF4)
| ~ aScalar0(sF4) ),
inference(duplicate_literal_removal,[],[f1406]) ).
fof(f1415,plain,
( smndt0(sF3) = sdtasdt0(smndt0(sF2),sF2)
| ~ aScalar0(sF2) ),
inference(duplicate_literal_removal,[],[f1405]) ).
fof(f1425,plain,
smndt0(sF5) = sdtasdt0(smndt0(sF4),sF4),
inference(forward_subsumption_resolution,[],[f1414,f225]) ).
fof(f1426,plain,
smndt0(sF3) = sdtasdt0(smndt0(sF2),sF2),
inference(forward_subsumption_resolution,[],[f1415,f230]) ).
fof(f1521,plain,
! [X0] :
( ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(smndt0(X0)) ),
inference(resolution,[],[f1230,f152]) ).
fof(f1529,plain,
! [X0] :
( ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(sz0z00,smndt0(X0)) ),
inference(duplicate_literal_removal,[],[f1521]) ).
fof(f1534,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f1529,f133]) ).
fof(f1639,plain,
( ~ aScalar0(sF5)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sF5,sz0z00)
| sz0z00 = sF5 ),
inference(resolution,[],[f406,f153]) ).
fof(f1641,plain,
( ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sF5,sz0z00)
| sz0z00 = sF5 ),
inference(forward_subsumption_resolution,[],[f1639,f234]) ).
fof(f1642,plain,
( ~ sdtlseqdt0(sF5,sz0z00)
| sz0z00 = sF5 ),
inference(forward_subsumption_resolution,[],[f1641,f130]) ).
fof(f1706,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[],[f173,f187]) ).
fof(f1707,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[],[f1706,f180]) ).
fof(f1708,plain,
sdtlseqdt0(sz0z00,xR),
inference(backward_subsumption_resolution,[],[f1344,f1707]) ).
fof(f1710,plain,
( sdtlseqdt0(sz0z00,sF4)
| ~ sdtlseqdt0(sz0z00,xS) ),
inference(backward_subsumption_resolution,[],[f1076,f1708]) ).
fof(f1769,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[],[f173,f189]) ).
fof(f1770,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[],[f1769,f182]) ).
fof(f1771,plain,
sdtlseqdt0(sz0z00,xS),
inference(backward_subsumption_resolution,[],[f1134,f1770]) ).
fof(f1773,plain,
sdtlseqdt0(sz0z00,sF4),
inference(backward_subsumption_resolution,[],[f1710,f1771]) ).
fof(f1778,plain,
! [X0,X1] :
( sdtlseqdt0(sF5,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sF4,X0)
| ~ sdtlseqdt0(sF4,X1)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[],[f275,f1773]) ).
fof(f1794,plain,
( sdtlseqdt0(sF5,sF5)
| ~ aScalar0(sF4)
| ~ sdtlseqdt0(sF4,sF4)
| ~ sdtlseqdt0(sF4,sF4)
| ~ aScalar0(sF4) ),
inference(superposition,[],[f1778,f221]) ).
fof(f1795,plain,
( sdtlseqdt0(sF5,sF5)
| ~ aScalar0(sF4)
| ~ sdtlseqdt0(sF4,sF4) ),
inference(duplicate_literal_removal,[],[f1794]) ).
fof(f1803,plain,
( sdtlseqdt0(sF5,sF5)
| ~ aScalar0(sF4) ),
inference(forward_subsumption_resolution,[],[f1795,f152]) ).
fof(f1816,plain,
sdtlseqdt0(sF5,sF5),
inference(forward_subsumption_resolution,[],[f1803,f225]) ).
fof(f2095,plain,
! [X0] :
( ~ aVector0(X0)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,X0)) ),
inference(equality_resolution,[],[f170]) ).
fof(f2096,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(duplicate_literal_removal,[],[f2095]) ).
fof(f2118,definition,
( spl6_5
<=> sdtlseqdt0(sz0z00,sz0z00) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f2119,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f2121,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1) )
| ~ spl6_5 ),
inference(backward_subsumption_resolution,[],[f960,f2119]) ).
fof(f2135,plain,
( ! [X2,X3,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,X0)))
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X3)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_5 ),
inference(superposition,[],[f2121,f143]) ).
fof(f2150,plain,
( ! [X2,X3,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,X0)))
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X3)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_5 ),
inference(duplicate_literal_removal,[],[f2135]) ).
fof(f2158,plain,
( ! [X2,X3,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,X0)))
| ~ aScalar0(X3)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X3,sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f2150,f132]) ).
fof(f2170,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl6_5 ),
inference(superposition,[],[f2158,f139]) ).
fof(f2195,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_5 ),
inference(duplicate_literal_removal,[],[f2170]) ).
fof(f2213,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f2195,f2119]) ).
fof(f2224,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ~ aScalar0(X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f2213,f130]) ).
fof(f2256,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sF5)
| ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(sF4,sz0z00))
| ~ aScalar0(sF4)
| ~ aScalar0(sF4) )
| ~ spl6_5 ),
inference(superposition,[],[f2224,f221]) ).
fof(f2257,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sF5)
| ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(sF4,sz0z00))
| ~ aScalar0(sF4) )
| ~ spl6_5 ),
inference(duplicate_literal_removal,[],[f2256]) ).
fof(f2276,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sF5)
| ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(sF4,sz0z00)) )
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f2257,f225]) ).
fof(f2324,definition,
( spl6_8
<=> sdtlseqdt0(sz0z00,sdtasdt0(sF4,sz0z00)) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f2325,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(sF4,sz0z00))
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f2324]) ).
fof(f2327,definition,
( spl6_9
<=> ! [X0] :
( ~ sdtlseqdt0(X0,sF5)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f2328,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sF5)
| ~ aScalar0(X0) )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f2327]) ).
fof(f2329,plain,
( spl6_8
| spl6_9
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f2276,f2118,f2327,f2324]) ).
fof(f2333,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sF4)
| ~ spl6_8 ),
inference(superposition,[],[f2325,f139]) ).
fof(f2557,plain,
! [X0] :
( ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) ),
inference(resolution,[],[f1231,f152]) ).
fof(f2565,plain,
! [X0] :
( ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f2557]) ).
fof(f2570,plain,
! [X0] :
( sdtlseqdt0(smndt0(X0),sz0z00)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f2565,f133]) ).
fof(f2634,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = smndt0(sdtasdt0(smndt0(X0),X1))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(superposition,[],[f135,f149]) ).
fof(f2652,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = smndt0(sdtasdt0(smndt0(X0),X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f2634,f132]) ).
fof(f2660,plain,
( aScalar0(smndt0(sF3))
| ~ aScalar0(smndt0(sF2))
| ~ aScalar0(sF2) ),
inference(superposition,[],[f132,f1426]) ).
fof(f2698,plain,
( aScalar0(smndt0(sF3))
| ~ aScalar0(sF2) ),
inference(forward_subsumption_resolution,[],[f2660,f133]) ).
fof(f2710,plain,
aScalar0(smndt0(sF3)),
inference(forward_subsumption_resolution,[],[f2698,f230]) ).
fof(f3181,plain,
( ~ aScalar0(sF5)
| ~ aScalar0(sF5)
| ~ spl6_9 ),
inference(resolution,[],[f2328,f152]) ).
fof(f3188,plain,
( ~ aScalar0(sF5)
| ~ spl6_9 ),
inference(duplicate_literal_removal,[],[f3181]) ).
fof(f3199,plain,
( $false
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f3188,f234]) ).
fof(f3200,plain,
~ spl6_9,
inference(avatar_contradiction_clause,[],[f3199]) ).
fof(f3611,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ aScalar0(smndt0(sF4))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sF4)
| ~ sdtlseqdt0(X0,smndt0(sF4))
| ~ aScalar0(sF4) )
| ~ spl6_5 ),
inference(superposition,[],[f2121,f1425]) ).
fof(f3617,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sF4)
| ~ sdtlseqdt0(X0,smndt0(sF4))
| ~ aScalar0(sF4) )
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f3611,f133]) ).
fof(f3637,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,smndt0(sF4))
| ~ aScalar0(sF4) )
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f3617,f1773]) ).
fof(f3651,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,smndt0(sF4)) )
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f3637,f225]) ).
fof(f4211,definition,
( spl6_14
<=> ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(smndt0(X1),smndt0(X0))
| ~ sdtlseqdt0(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).
fof(f4212,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(smndt0(X1),smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X0) )
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f4211]) ).
fof(f4213,plain,
( spl6_14
| spl6_5 ),
inference(avatar_split_clause,[],[f1259,f2118,f4211]) ).
fof(f4237,definition,
( spl6_17
<=> ! [X0] :
( ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,smndt0(sF4)) ) ),
introduced(definition,[new_symbols(definition,[spl6_17])],[avatar_definition]) ).
fof(f4238,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(sF4))
| ~ aScalar0(X0) )
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f4237]) ).
fof(f4240,definition,
( spl6_18
<=> sdtlseqdt0(sz0z00,smndt0(sF5)) ),
introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).
fof(f4241,plain,
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f4240]) ).
fof(f4242,plain,
( spl6_17
| spl6_18
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f3651,f2118,f4240,f4237]) ).
fof(f4244,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ spl6_8 ),
inference(forward_subsumption_resolution,[],[f2333,f225]) ).
fof(f4250,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1) )
| ~ spl6_8 ),
inference(backward_subsumption_resolution,[],[f960,f4244]) ).
fof(f4584,plain,
( ~ aScalar0(smndt0(sF4))
| ~ aScalar0(smndt0(sF4))
| ~ spl6_17 ),
inference(resolution,[],[f4238,f152]) ).
fof(f4588,plain,
( ~ aScalar0(smndt0(sF4))
| ~ spl6_17 ),
inference(duplicate_literal_removal,[],[f4584]) ).
fof(f4970,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF3))
| ~ aScalar0(smndt0(sF2))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sF2)
| ~ sdtlseqdt0(X0,smndt0(sF2))
| ~ aScalar0(sF2) )
| ~ spl6_8 ),
inference(superposition,[],[f4250,f1426]) ).
fof(f4981,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF3))
| ~ aScalar0(sF2)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,smndt0(sF2))
| ~ sdtlseqdt0(X0,sF2)
| ~ aScalar0(smndt0(sF2)) )
| ~ spl6_8 ),
inference(superposition,[],[f4250,f904]) ).
fof(f4996,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF3))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,smndt0(sF2))
| ~ sdtlseqdt0(X0,sF2)
| ~ aScalar0(smndt0(sF2)) )
| ~ spl6_8 ),
inference(forward_subsumption_resolution,[],[f4981,f230]) ).
fof(f5011,plain,
( ! [X0] :
( ~ aScalar0(X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X0)
| ~ aScalar0(smndt0(X0)) )
| ~ spl6_14 ),
inference(resolution,[],[f4212,f152]) ).
fof(f5019,plain,
( ! [X0] :
( ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X0)
| ~ aScalar0(smndt0(X0)) )
| ~ spl6_14 ),
inference(duplicate_literal_removal,[],[f5011]) ).
fof(f5027,plain,
( ! [X0] :
( ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) )
| ~ spl6_14 ),
inference(forward_subsumption_resolution,[],[f5019,f152]) ).
fof(f5029,plain,
( ! [X0] : ~ aScalar0(X0)
| ~ spl6_14 ),
inference(forward_subsumption_resolution,[],[f5027,f133]) ).
fof(f5059,plain,
( ! [X0] : ~ aVector0(X0)
| ~ spl6_14 ),
inference(backward_subsumption_resolution,[],[f2096,f5029]) ).
fof(f5112,plain,
( $false
| ~ spl6_14 ),
inference(backward_subsumption_resolution,[],[f182,f5059]) ).
fof(f5116,plain,
~ spl6_14,
inference(avatar_contradiction_clause,[],[f5112]) ).
fof(f5234,plain,
( ~ aScalar0(sF4)
| ~ spl6_17 ),
inference(resolution,[],[f133,f4588]) ).
fof(f5239,plain,
( $false
| ~ spl6_17 ),
inference(forward_subsumption_resolution,[],[f5234,f225]) ).
fof(f5240,plain,
~ spl6_17,
inference(avatar_contradiction_clause,[],[f5239]) ).
fof(f5462,plain,
( ! [X0] :
( ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sF5)
| sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sF5) )
| ~ spl6_18 ),
inference(resolution,[],[f1296,f4241]) ).
fof(f5468,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sF5)
| ~ aScalar0(X0)
| sdtlseqdt0(X0,sz0z00) )
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f5462,f234]) ).
fof(f5475,plain,
( ~ aScalar0(sF5)
| sdtlseqdt0(sF5,sz0z00)
| ~ spl6_18 ),
inference(resolution,[],[f5468,f1816]) ).
fof(f5478,plain,
( sdtlseqdt0(sF5,sz0z00)
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f5475,f234]) ).
fof(f5482,plain,
( sz0z00 = sF5
| ~ spl6_18 ),
inference(backward_subsumption_resolution,[],[f1642,f5478]) ).
fof(f5486,plain,
( ~ sdtlseqdt0(sF3,sz0z00)
| ~ spl6_18 ),
inference(superposition,[],[f222,f5482]) ).
fof(f9235,plain,
( sdtasdt0(sF2,sF2) = smndt0(smndt0(sF3))
| ~ aScalar0(sF2)
| ~ aScalar0(sF2) ),
inference(superposition,[],[f2652,f1426]) ).
fof(f9278,plain,
( sdtasdt0(sF2,sF2) = smndt0(smndt0(sF3))
| ~ aScalar0(sF2) ),
inference(duplicate_literal_removal,[],[f9235]) ).
fof(f9299,plain,
sdtasdt0(sF2,sF2) = smndt0(smndt0(sF3)),
inference(forward_subsumption_resolution,[],[f9278,f230]) ).
fof(f9306,plain,
sF3 = smndt0(smndt0(sF3)),
inference(forward_demodulation,[],[f9299,f217]) ).
fof(f9326,plain,
( sdtlseqdt0(sF3,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(sF3))
| ~ aScalar0(smndt0(sF3)) ),
inference(superposition,[],[f2570,f9306]) ).
fof(f9350,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(sF3))
| ~ aScalar0(smndt0(sF3))
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f9326,f5486]) ).
fof(f9362,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(sF3))
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f9350,f2710]) ).
fof(f9365,plain,
( ! [X0] :
( ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,smndt0(sF2))
| ~ sdtlseqdt0(X0,sF2)
| ~ aScalar0(smndt0(sF2)) )
| ~ spl6_8
| ~ spl6_18 ),
inference(backward_subsumption_resolution,[],[f4996,f9362]) ).
fof(f9369,definition,
( spl6_28
<=> aScalar0(smndt0(sF2)) ),
introduced(definition,[new_symbols(definition,[spl6_28])],[avatar_definition]) ).
fof(f9370,plain,
( ~ aScalar0(smndt0(sF2))
| spl6_28 ),
inference(avatar_component_clause,[],[f9369]) ).
fof(f9372,definition,
( spl6_29
<=> sdtlseqdt0(sz0z00,smndt0(sF2)) ),
introduced(definition,[new_symbols(definition,[spl6_29])],[avatar_definition]) ).
fof(f9373,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(sF2))
| spl6_29 ),
inference(avatar_component_clause,[],[f9372]) ).
fof(f9375,definition,
( spl6_30
<=> ! [X0] :
( ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sF2) ) ),
introduced(definition,[new_symbols(definition,[spl6_30])],[avatar_definition]) ).
fof(f9376,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sF2)
| ~ aScalar0(X0) )
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f9375]) ).
fof(f9377,plain,
( ~ spl6_28
| ~ spl6_29
| spl6_30
| ~ spl6_8
| ~ spl6_18 ),
inference(avatar_split_clause,[],[f9365,f4240,f2324,f9375,f9372,f9369]) ).
fof(f9379,plain,
( ~ aScalar0(sF2)
| spl6_28 ),
inference(resolution,[],[f9370,f133]) ).
fof(f9381,plain,
( $false
| spl6_28 ),
inference(forward_subsumption_resolution,[],[f9379,f230]) ).
fof(f9382,plain,
spl6_28,
inference(avatar_contradiction_clause,[],[f9381]) ).
fof(f9384,plain,
( ~ sdtlseqdt0(sF2,sz0z00)
| ~ aScalar0(sF2)
| spl6_29 ),
inference(resolution,[],[f9373,f1534]) ).
fof(f9404,plain,
( ! [X0] :
( ~ aScalar0(smndt0(sF2))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sF2)
| ~ sdtlseqdt0(X0,smndt0(sF2))
| ~ aScalar0(sF2) )
| ~ spl6_8
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f4970,f9362]) ).
fof(f9439,plain,
( ! [X0] :
( ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sF2)
| ~ sdtlseqdt0(X0,smndt0(sF2))
| ~ aScalar0(sF2) )
| ~ spl6_8
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f9404,f133]) ).
fof(f9461,plain,
( ! [X0] :
( ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sF2)
| ~ sdtlseqdt0(X0,smndt0(sF2)) )
| ~ spl6_8
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f9439,f230]) ).
fof(f9472,plain,
( ~ sdtlseqdt0(sF2,sz0z00)
| spl6_29 ),
inference(forward_subsumption_resolution,[],[f9384,f230]) ).
fof(f9614,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(sF2)
| sdtlseqdt0(sz0z00,sF2)
| spl6_29 ),
inference(resolution,[],[f9472,f157]) ).
fof(f9615,plain,
( ~ aScalar0(sF2)
| sdtlseqdt0(sz0z00,sF2)
| spl6_29 ),
inference(forward_subsumption_resolution,[],[f9614,f130]) ).
fof(f9616,plain,
( sdtlseqdt0(sz0z00,sF2)
| spl6_29 ),
inference(forward_subsumption_resolution,[],[f9615,f230]) ).
fof(f9628,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(sF2))
| ~ aScalar0(X0) )
| ~ spl6_8
| ~ spl6_18
| spl6_29 ),
inference(backward_subsumption_resolution,[],[f9461,f9616]) ).
fof(f9631,plain,
( ~ aScalar0(smndt0(sF2))
| ~ aScalar0(smndt0(sF2))
| ~ spl6_8
| ~ spl6_18
| spl6_29 ),
inference(resolution,[],[f9628,f152]) ).
fof(f9642,plain,
( ~ aScalar0(smndt0(sF2))
| ~ spl6_8
| ~ spl6_18
| spl6_29 ),
inference(duplicate_literal_removal,[],[f9631]) ).
fof(f9647,plain,
( ~ spl6_28
| ~ spl6_8
| ~ spl6_18
| spl6_29 ),
inference(avatar_split_clause,[],[f9642,f9372,f4240,f2324,f9369]) ).
fof(f9671,plain,
( ~ aScalar0(sF2)
| ~ aScalar0(sF2)
| ~ spl6_30 ),
inference(resolution,[],[f9376,f152]) ).
fof(f9681,plain,
( ~ aScalar0(sF2)
| ~ spl6_30 ),
inference(duplicate_literal_removal,[],[f9671]) ).
fof(f9691,plain,
( $false
| ~ spl6_30 ),
inference(forward_subsumption_resolution,[],[f9681,f230]) ).
fof(f9692,plain,
~ spl6_30,
inference(avatar_contradiction_clause,[],[f9691]) ).
cnf(s729,plain,
( ~ spl6_5
| spl6_8
| spl6_9 ),
inference(sat_conversion,[],[f2329]) ).
cnf(s1048,plain,
~ spl6_9,
inference(sat_conversion,[],[f3200]) ).
cnf(s1347,plain,
( spl6_5
| spl6_14 ),
inference(sat_conversion,[],[f4213]) ).
cnf(s1356,plain,
( ~ spl6_5
| spl6_17
| spl6_18 ),
inference(sat_conversion,[],[f4242]) ).
cnf(s1781,plain,
~ spl6_14,
inference(sat_conversion,[],[f5116]) ).
cnf(s1853,plain,
~ spl6_17,
inference(sat_conversion,[],[f5240]) ).
cnf(s2762,plain,
( ~ spl6_8
| ~ spl6_18
| ~ spl6_28
| ~ spl6_29
| spl6_30 ),
inference(sat_conversion,[],[f9377]) ).
cnf(s2765,plain,
spl6_28,
inference(sat_conversion,[],[f9382]) ).
cnf(s2865,plain,
( ~ spl6_8
| ~ spl6_18
| ~ spl6_28
| spl6_29 ),
inference(sat_conversion,[],[f9647]) ).
cnf(s2888,plain,
~ spl6_30,
inference(sat_conversion,[],[f9692]) ).
cnf(s3147,plain,
( ~ spl6_8
| ~ spl6_18
| ~ spl6_29 ),
inference(rat,[],[s2762,s2888,s2765]) ).
cnf(s3150,plain,
( ~ spl6_5
| spl6_18 ),
inference(rat,[],[s1356,s1853]) ).
cnf(s3151,plain,
spl6_5,
inference(rat,[],[s1347,s1781]) ).
cnf(s3152,plain,
spl6_18,
inference(rat,[],[s3150,s3151]) ).
cnf(s3154,plain,
spl6_8,
inference(rat,[],[s729,s1048,s3151]) ).
cnf(s3155,plain,
spl6_29,
inference(rat,[],[s2865,s3152,s2765,s3154]) ).
cnf(s3156,plain,
$false,
inference(rat,[],[s3147,s3152,s3155,s3154]) ).
fof(f10141,plain,
$false,
inference(avatar_sat_refutation,[],[s3156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG066+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 23:11:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.36/2.69 % (4078172)Detected formulas, will run a generic FOF schedule.
% 12.36/2.69 % (4078178)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3691247736:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.36/2.69 % (4078183)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3624046966:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.36/2.69 % (4078182)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1364937517:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.36/2.69 % (4078181)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=237080943:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.36/2.69 % (4078184)dis-21_1_sil=8000:lcm=predicate:random_seed=2010252587:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.36/2.69 % (4078179)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3720703072:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.36/2.69 % (4078180)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2739225561:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.36/2.69 % (4078181)Instruction limit reached!
% 12.36/2.69 % (4078181)------------------------------
% 12.36/2.69 % (4078181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.69 % (4078181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.69 % (4078181)CaDiCaL version: 2.1.3
% 12.36/2.69 % (4078181)Termination reason: Instruction limit
% 12.36/2.69 % (4078181)Termination phase: Saturation
% 12.36/2.69 % (4078181)Time elapsed: 0.062 s
% 12.36/2.69 % (4078181)Peak memory usage: 89 MB
% 12.36/2.69 % (4078181)Instructions burned: 109 (million)
% 12.36/2.69 % (4078182)Instruction limit reached!
% 12.36/2.69 % (4078182)------------------------------
% 12.36/2.69 % (4078182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.69 % (4078182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.69 % (4078182)CaDiCaL version: 2.1.3
% 12.36/2.69 % (4078182)Termination reason: Instruction limit
% 12.36/2.69 % (4078182)Termination phase: Saturation
% 12.36/2.69 % (4078182)Time elapsed: 0.063 s
% 12.36/2.69 % (4078182)Peak memory usage: 88 MB
% 12.36/2.69 % (4078182)Instructions burned: 119 (million)
% 12.36/2.69 % (4078184)Instruction limit reached!
% 12.36/2.69 % (4078184)------------------------------
% 12.36/2.69 % (4078184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.69 % (4078184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.69 % (4078184)CaDiCaL version: 2.1.3
% 12.36/2.69 % (4078184)Termination reason: Instruction limit
% 12.36/2.69 % (4078184)Termination phase: Saturation
% 12.36/2.69 % (4078184)Time elapsed: 0.065 s
% 12.36/2.69 % (4078184)Peak memory usage: 89 MB
% 12.36/2.69 % (4078184)Instructions burned: 130 (million)
% 12.36/2.69 % (4078183)Instruction limit reached!
% 12.36/2.69 % (4078183)------------------------------
% 12.36/2.69 % (4078183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.69 % (4078183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.69 % (4078183)CaDiCaL version: 2.1.3
% 12.36/2.69 % (4078183)Termination reason: Instruction limit
% 12.36/2.69 % (4078183)Termination phase: Saturation
% 12.36/2.69 % (4078183)Time elapsed: 0.097 s
% 12.36/2.69 % (4078183)Peak memory usage: 90 MB
% 12.36/2.69 % (4078183)Instructions burned: 140 (million)
% 12.36/2.69 % (4078193)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1080095682:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.36/2.69 % (4078192)lrs+10_1_sil=8000:sp=occurrence:random_seed=325614378:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.36/2.69 % (4078194)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2934065037:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.36/2.69 % (4078195)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1436169805:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.36/2.69 % (4078193)Instruction limit reached!
% 18.57/3.51 % (4078193)------------------------------
% 18.57/3.51 % (4078193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.51 % (4078193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.51 % (4078193)CaDiCaL version: 2.1.3
% 18.57/3.51 % (4078193)Termination reason: Instruction limit
% 18.57/3.51 % (4078193)Termination phase: Saturation
% 18.57/3.51 % (4078193)Time elapsed: 0.072 s
% 18.57/3.51 % (4078193)Peak memory usage: 91 MB
% 18.57/3.51 % (4078193)Instructions burned: 159 (million)
% 18.57/3.51 % (4078195)Instruction limit reached!
% 18.57/3.51 % (4078195)------------------------------
% 18.57/3.51 % (4078195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.51 % (4078195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.51 % (4078195)CaDiCaL version: 2.1.3
% 18.57/3.51 % (4078195)Termination reason: Instruction limit
% 18.57/3.51 % (4078195)Termination phase: Saturation
% 18.57/3.51 % (4078195)Time elapsed: 0.109 s
% 18.57/3.51 % (4078195)Peak memory usage: 94 MB
% 18.57/3.51 % (4078195)Instructions burned: 250 (million)
% 18.57/3.51 % (4078192)Instruction limit reached!
% 18.57/3.51 % (4078192)------------------------------
% 18.57/3.51 % (4078192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.51 % (4078192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.51 % (4078192)CaDiCaL version: 2.1.3
% 18.57/3.51 % (4078192)Termination reason: Instruction limit
% 18.57/3.51 % (4078192)Termination phase: Saturation
% 18.57/3.51 % (4078192)Time elapsed: 0.175 s
% 18.57/3.51 % (4078192)Peak memory usage: 93 MB
% 18.57/3.51 % (4078192)Instructions burned: 286 (million)
% 18.57/3.51 % (4078194)Instruction limit reached!
% 18.57/3.51 % (4078194)------------------------------
% 18.57/3.51 % (4078194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.51 % (4078194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.51 % (4078194)CaDiCaL version: 2.1.3
% 18.57/3.51 % (4078194)Termination reason: Instruction limit
% 18.57/3.51 % (4078194)Termination phase: Saturation
% 18.57/3.51 % (4078194)Time elapsed: 0.188 s
% 18.57/3.51 % (4078194)Peak memory usage: 94 MB
% 18.57/3.51 % (4078194)Instructions burned: 326 (million)
% 18.57/3.51 % (4078200)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2276411948:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.57/3.51 % (4078201)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1349590097:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.57/3.51 % (4078202)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2130825227:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.57/3.51 % (4078203)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=174820813:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.57/3.51 % (4078200)Instruction limit reached!
% 18.57/3.51 % (4078200)------------------------------
% 18.57/3.51 % (4078200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.51 % (4078200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.51 % (4078200)CaDiCaL version: 2.1.3
% 18.57/3.51 % (4078200)Termination reason: Instruction limit
% 18.57/3.51 % (4078200)Termination phase: Saturation
% 18.57/3.51 % (4078200)Time elapsed: 0.167 s
% 18.57/3.51 % (4078200)Peak memory usage: 90 MB
% 18.57/3.51 % (4078200)Instructions burned: 296 (million)
% 18.57/3.51 % (4078202)Instruction limit reached!
% 18.57/3.51 % (4078202)------------------------------
% 18.57/3.51 % (4078202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.51 % (4078202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.51 % (4078202)CaDiCaL version: 2.1.3
% 18.57/3.51 % (4078202)Termination reason: Instruction limit
% 18.57/3.51 % (4078202)Termination phase: Saturation
% 18.57/3.51 % (4078202)Time elapsed: 0.073 s
% 18.57/3.51 % (4078202)Peak memory usage: 91 MB
% 18.57/3.51 % (4078202)Instructions burned: 114 (million)
% 18.57/3.51 % (4078203)Instruction limit reached!
% 18.57/3.51 % (4078203)------------------------------
% 18.57/3.51 % (4078203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.51 % (4078203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.51 % (4078203)CaDiCaL version: 2.1.3
% 18.57/3.51 % (4078203)Termination reason: Instruction limit
% 18.57/3.51 % (4078203)Termination phase: Saturation
% 10.18/5.32 % (4078203)Time elapsed: 0.066 s
% 10.18/5.32 % (4078203)Peak memory usage: 89 MB
% 10.18/5.32 % (4078203)Instructions burned: 131 (million)
% 10.18/5.32 % (4078208)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4111363384:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.18/5.32 % (4078208)Refutation not found, incomplete strategy
% 10.18/5.32 % (4078208)------------------------------
% 10.18/5.32 % (4078208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/5.32 % (4078208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/5.32 % (4078208)CaDiCaL version: 2.1.3
% 10.18/5.32 % (4078208)Termination reason: Refutation not found, incomplete strategy
% 10.18/5.32 % (4078208)Time elapsed: 0.003 s
% 10.18/5.32 % (4078208)Peak memory usage: 88 MB
% 10.18/5.32 % (4078208)Instructions burned: 3 (million)
% 10.18/5.32 % (4078209)lrs+10_1_sil=8000:sp=occurrence:random_seed=1139662518:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.18/5.32 % (4078210)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2546594471:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.18/5.32 % (4078208)------------------------------
% 10.18/5.32 % (4078208)------------------------------
% 10.18/5.32 % (4078210)Instruction limit reached!
% 10.18/5.32 % (4078210)------------------------------
% 10.18/5.32 % (4078210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/5.32 % (4078210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/5.32 % (4078210)CaDiCaL version: 2.1.3
% 10.18/5.32 % (4078210)Termination reason: Instruction limit
% 10.18/5.32 % (4078210)Termination phase: Saturation
% 10.18/5.32 % (4078210)Time elapsed: 0.242 s
% 10.18/5.32 % (4078210)Peak memory usage: 94 MB
% 10.18/5.32 % (4078210)Instructions burned: 438 (million)
% 10.18/5.32 % (4078214)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1379406912:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.18/5.32 % (4078215)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1718672846:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.18/5.32 % (4078215)Instruction limit reached!
% 10.18/5.32 % (4078215)------------------------------
% 10.18/5.32 % (4078215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/5.32 % (4078215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/5.32 % (4078215)CaDiCaL version: 2.1.3
% 10.18/5.32 % (4078215)Termination reason: Instruction limit
% 10.18/5.32 % (4078215)Termination phase: Saturation
% 10.18/5.32 % (4078215)Time elapsed: 0.059 s
% 10.18/5.32 % (4078215)Peak memory usage: 91 MB
% 10.18/5.32 % (4078215)Instructions burned: 135 (million)
% 10.18/5.32 % (4078209)Instruction limit reached!
% 10.18/5.32 % (4078209)------------------------------
% 10.18/5.32 % (4078209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/5.32 % (4078209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/5.32 % (4078209)CaDiCaL version: 2.1.3
% 10.18/5.32 % (4078209)Termination reason: Instruction limit
% 10.18/5.32 % (4078209)Termination phase: Saturation
% 10.18/5.32 % (4078209)Time elapsed: 0.498 s
% 10.18/5.32 % (4078209)Peak memory usage: 103 MB
% 10.18/5.32 % (4078209)Instructions burned: 907 (million)
% 10.18/5.32 % (4078218)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2528763716:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.18/5.32 % (4078219)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3751135886:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 10.18/5.32 % (4078218)Instruction limit reached!
% 10.18/5.32 % (4078218)------------------------------
% 10.18/5.32 % (4078218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/5.32 % (4078218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/5.32 % (4078218)CaDiCaL version: 2.1.3
% 10.18/5.32 % (4078218)Termination reason: Instruction limit
% 10.18/5.32 % (4078218)Termination phase: Saturation
% 10.18/5.32 % (4078218)Time elapsed: 0.294 s
% 10.18/5.32 % (4078218)Peak memory usage: 92 MB
% 10.18/5.32 % (4078218)Instructions burned: 592 (million)
% 10.18/5.32 % (4078222)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=877845763:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 10.18/5.32 % (4078222)Instruction limit reached!
% 10.18/5.32 % (4078222)------------------------------
% 10.18/5.32 % (4078222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/5.32 % (4078222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/5.32 % (4078222)CaDiCaL version: 2.1.3
% 10.18/5.32 % (4078222)Termination reason: Instruction limit
% 10.18/5.32 % (4078222)Termination phase: Saturation
% 10.18/5.32 % (4078222)Time elapsed: 0.065 s
% 10.18/5.32 % (4078222)Peak memory usage: 91 MB
% 10.18/5.32 % (4078222)Instructions burned: 127 (million)
% 10.18/5.32 % (4078201)Instruction limit reached!
% 10.18/5.32 % (4078201)------------------------------
% 10.18/5.32 % (4078201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/5.32 % (4078201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/5.32 % (4078201)CaDiCaL version: 2.1.3
% 10.18/5.32 % (4078201)Termination reason: Instruction limit
% 10.18/5.32 % (4078201)Termination phase: Saturation
% 10.18/5.32 % (4078201)Time elapsed: 1.416 s
% 10.18/5.32 % (4078201)Peak memory usage: 144 MB
% 10.18/5.32 % (4078201)Instructions burned: 2350 (million)
% 10.18/5.32 % (4078224)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1010303044:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 10.18/5.32 % (4078224)Instruction limit reached!
% 10.18/5.32 % (4078224)------------------------------
% 10.18/5.32 % (4078224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/5.32 % (4078224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/5.32 % (4078224)CaDiCaL version: 2.1.3
% 10.18/5.32 % (4078224)Termination reason: Instruction limit
% 10.18/5.32 % (4078224)Termination phase: Saturation
% 10.18/5.32 % (4078224)Time elapsed: 0.070 s
% 10.18/5.32 % (4078224)Peak memory usage: 91 MB
% 10.18/5.32 % (4078224)Instructions burned: 134 (million)
% 10.18/5.32 % (4078226)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=202618815:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 10.18/5.32 % (4078227)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3050389823:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 10.18/5.32 % (4078226)Instruction limit reached!
% 10.18/5.32 % (4078226)------------------------------
% 10.18/5.32 % (4078226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/5.32 % (4078226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/5.32 % (4078226)CaDiCaL version: 2.1.3
% 10.18/5.32 % (4078226)Termination reason: Instruction limit
% 10.18/5.32 % (4078226)Termination phase: Saturation
% 10.18/5.32 % (4078226)Time elapsed: 0.074 s
% 10.18/5.32 % (4078226)Peak memory usage: 91 MB
% 10.18/5.32 % (4078226)Instructions burned: 143 (million)
% 10.18/5.32 % (4078230)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3537780339:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 10.18/5.32 % (4078227)Instruction limit reached!
% 10.18/5.32 % (4078227)------------------------------
% 10.18/5.32 % (4078227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/5.32 % (4078227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/5.32 % (4078227)CaDiCaL version: 2.1.3
% 10.18/5.32 % (4078227)Termination reason: Instruction limit
% 10.18/5.32 % (4078227)Termination phase: Saturation
% 10.18/5.32 % (4078227)Time elapsed: 0.230 s
% 10.18/5.32 % (4078227)Peak memory usage: 96 MB
% 10.18/5.32 % (4078227)Instructions burned: 432 (million)
% 10.18/5.32 % (4078232)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1574221529:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 10.18/5.32 % (4078232)Instruction limit reached!
% 10.18/5.32 % (4078232)------------------------------
% 10.18/5.32 % (4078232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/5.32 % (4078232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/5.32 % (4078232)CaDiCaL version: 2.1.3
% 10.18/5.32 % (4078232)Termination reason: Instruction limit
% 10.18/5.32 % (4078232)Termination phase: Saturation
% 10.18/5.32 % (4078232)Time elapsed: 0.078 s
% 10.18/5.32 % (4078232)Peak memory usage: 92 MB
% 10.18/5.32 % (4078232)Instructions burned: 151 (million)
% 10.18/5.32 % (4078234)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1748170166:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 10.18/5.32 % (4078230)First to succeed.
% 10.18/5.32 % (4078230)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4078172"
% 10.18/5.32 % (4078214)Also succeeded, but the first one will report.
% 10.18/5.32 % (4078230)Refutation found. Thanks to Tanya!
% 10.18/5.32 % SZS status Theorem for theBenchmark
% 10.18/5.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/5.51 % (4078230)------------------------------
% 0.16/5.51 % (4078230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/5.51 % (4078230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.51 % (4078230)CaDiCaL version: 2.1.3
% 0.16/5.51 % (4078230)Termination reason: Refutation
% 0.16/5.51 % (4078230)Time elapsed: 1.806 s
% 0.16/5.51 % (4078230)Peak memory usage: 145 MB
% 0.16/5.51 % (4078230)Instructions burned: 2856 (million)
% 0.16/5.51 % (4078230)------------------------------
% 0.16/5.51 % (4078230)------------------------------
% 0.16/5.51 % (4078172)Success in time 4.469 s
% 0.16/5.51 % Vampire exiting
%------------------------------------------------------------------------------