%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG053+2 : 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 : n013.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 12:35:18 PM UTC 2026
% Result : Theorem 24.67s 4.73s
% Output : Refutation 28.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 49
% Syntax : Number of formulae : 358 ( 61 unt; 24 def)
% Number of atoms : 1233 ( 101 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1661 ( 786 ~; 767 |; 66 &)
% ( 24 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 25 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 16 con; 0-2 aty)
% Number of variables : 284 ( 0 sgn 284 !; 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(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(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
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(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(f42,axiom,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
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(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
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(f51,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
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(f57,conjecture,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f58,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f59,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(flattening,[],[f58]) ).
fof(f67,plain,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& xp = sziznziztdt0(xs) ),
inference(ennf_transformation,[],[f42]) ).
fof(f68,plain,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) )
& xq = sziznziztdt0(xt) ),
inference(ennf_transformation,[],[f43]) ).
fof(f69,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f89,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f90,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f89]) ).
fof(f91,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(f92,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,[],[f91]) ).
fof(f93,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(f94,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,[],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f96,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f98,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f111,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(f112,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,[],[f111]) ).
fof(f113,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(f114,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f115,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f114]) ).
fof(f118,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(f119,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,[],[f118]) ).
fof(f120,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f134,plain,
aVector0(xp),
inference(cnf_transformation,[],[f67]) ).
fof(f138,plain,
aVector0(xq),
inference(cnf_transformation,[],[f68]) ).
fof(f143,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f144,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f145,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f146,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f148,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f150,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f152,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f154,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f155,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f156,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f157,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f158,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f159,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f160,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f164,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f59]) ).
fof(f165,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f182,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f92]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f94]) ).
fof(f185,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f186,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f187,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f198,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f201,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f204,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f205,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f207,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f209,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f210,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f211,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f213,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f214,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f215,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f220,definition,
( spl2_1
<=> ! [X0] : ~ aScalar0(X0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f221,plain,
( ! [X0] : ~ aScalar0(X0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f228,definition,
( spl2_3
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f229,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f198,f228,f220]) ).
fof(f253,definition,
( spl2_7
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f254,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f255,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl2_7 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f257,definition,
( spl2_8
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f258,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl2_8 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f266,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_7 ),
inference(resolution,[],[f255,f210]) ).
fof(f267,plain,
( ~ aScalar0(xP)
| spl2_7 ),
inference(duplicate_literal_removal,[],[f266]) ).
fof(f268,plain,
( $false
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f267,f158]) ).
fof(f269,plain,
spl2_7,
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f270,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl2_8 ),
inference(resolution,[],[f259,f210]) ).
fof(f271,plain,
( ~ aScalar0(xS)
| spl2_8 ),
inference(forward_subsumption_resolution,[],[f270,f156]) ).
fof(f272,plain,
( $false
| spl2_8 ),
inference(forward_subsumption_resolution,[],[f271,f160]) ).
fof(f273,plain,
spl2_8,
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f286,plain,
! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[],[f185,f164]) ).
fof(f289,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xR,xS)) )
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f286,f254]) ).
fof(f291,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ aScalar0(X0) )
| ~ spl2_7
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f289,f258]) ).
fof(f365,definition,
( spl2_10
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f366,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f367,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| spl2_10 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f373,definition,
( spl2_12
<=> sdtlseqdt0(sz0z00,xD) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f374,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f375,plain,
( ~ sdtlseqdt0(sz0z00,xD)
| spl2_12 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f398,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X2))
| ~ aScalar0(X2) ),
inference(superposition,[],[f184,f205]) ).
fof(f401,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X2)) ),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f404,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f401,f215]) ).
fof(f425,definition,
( spl2_20
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
fof(f426,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| spl2_20 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f457,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f221,f156]) ).
fof(f462,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f533,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X0),X1)) = sdtpldt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[],[f201,f205]) ).
fof(f539,plain,
! [X2,X3,X0,X1,X4] :
( sdtlseqdt0(sdtpldt0(X3,X4),sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X4,X2)
| ~ aScalar0(X3)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(superposition,[],[f184,f201]) ).
fof(f553,plain,
! [X2,X3,X0,X1,X4] :
( sdtlseqdt0(sdtpldt0(X3,X4),sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X4,X2)
| ~ aScalar0(X3)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f539]) ).
fof(f558,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X0),X1)) = sdtpldt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f533]) ).
fof(f568,plain,
! [X2,X3,X0,X1,X4] :
( sdtlseqdt0(sdtpldt0(X3,X4),sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X4,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f553,f210]) ).
fof(f574,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X0),X1)) = sdtpldt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f558,f215]) ).
fof(f605,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X0) ),
inference(superposition,[],[f184,f209]) ).
fof(f606,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X1,X2),X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X2,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[],[f184,f209]) ).
fof(f613,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[],[f404,f209]) ).
fof(f616,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00) ),
inference(duplicate_literal_removal,[],[f613]) ).
fof(f623,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X1,X2),X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X2,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(sz0z00) ),
inference(duplicate_literal_removal,[],[f606]) ).
fof(f624,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2) ),
inference(duplicate_literal_removal,[],[f605]) ).
fof(f628,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f616,f211]) ).
fof(f632,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X1,X2),X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X2,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f623,f211]) ).
fof(f633,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f624,f211]) ).
fof(f668,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(X0),X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X0) ),
inference(superposition,[],[f632,f204]) ).
fof(f669,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(X0),X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f668]) ).
fof(f678,plain,
! [X0,X1] :
( ~ sdtlseqdt0(smndt0(X0),X1)
| sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f669,f215]) ).
fof(f682,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) ),
inference(resolution,[],[f678,f187]) ).
fof(f685,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f682]) ).
fof(f688,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f685,f215]) ).
fof(f712,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(X0,X1)) )
| ~ spl2_7
| ~ spl2_8 ),
inference(resolution,[],[f633,f291]) ).
fof(f731,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xR,xS)) )
| ~ spl2_7
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f712,f210]) ).
fof(f734,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0) )
| ~ spl2_7
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f731,f254]) ).
fof(f818,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X0) ),
inference(superposition,[],[f183,f207]) ).
fof(f827,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2) ),
inference(duplicate_literal_removal,[],[f818]) ).
fof(f831,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f827,f187]) ).
fof(f833,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f831,f211]) ).
fof(f835,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_3 ),
inference(superposition,[],[f833,f229]) ).
fof(f840,plain,
! [X0] :
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(X0,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(X0)
| ~ aScalar0(xF)
| ~ aScalar0(xD) ),
inference(superposition,[],[f833,f159]) ).
fof(f843,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_3 ),
inference(duplicate_literal_removal,[],[f835]) ).
fof(f863,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz0z00))
| ~ sdtlseqdt0(X0,sdtpldt0(X2,X3))
| ~ sdtlseqdt0(X1,smndt0(X3))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X3))
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X3) ),
inference(superposition,[],[f568,f205]) ).
fof(f879,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz0z00))
| ~ sdtlseqdt0(X0,sdtpldt0(X2,X3))
| ~ sdtlseqdt0(X1,smndt0(X3))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X3))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(duplicate_literal_removal,[],[f863]) ).
fof(f898,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz0z00))
| ~ sdtlseqdt0(X0,sdtpldt0(X2,X3))
| ~ sdtlseqdt0(X1,smndt0(X3))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(forward_subsumption_resolution,[],[f879,f215]) ).
fof(f1013,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X1,X2),X0)
| ~ sdtlseqdt0(X1,sdtpldt0(X0,X3))
| ~ sdtlseqdt0(X2,smndt0(X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X0) ),
inference(superposition,[],[f898,f209]) ).
fof(f1020,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X1,X2),X0)
| ~ sdtlseqdt0(X1,sdtpldt0(X0,X3))
| ~ sdtlseqdt0(X2,smndt0(X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X3) ),
inference(duplicate_literal_removal,[],[f1013]) ).
fof(f1049,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0) ),
inference(superposition,[],[f1020,f209]) ).
fof(f1055,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(duplicate_literal_removal,[],[f1049]) ).
fof(f1066,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sdtpldt0(X1,X2))
| sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f1055,f211]) ).
fof(f1282,plain,
! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(resolution,[],[f1066,f187]) ).
fof(f1314,plain,
! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f1282]) ).
fof(f1328,plain,
! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f1314,f210]) ).
fof(f1407,definition,
( spl2_42
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).
fof(f1408,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1409,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| spl2_42 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1433,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[],[f165,f143]) ).
fof(f1434,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[],[f1433,f134]) ).
fof(f1593,plain,
( smndt0(xP) = sdtasdt0(smndt0(xE),xH)
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[],[f213,f157]) ).
fof(f1594,plain,
( smndt0(xS) = sdtasdt0(smndt0(xF),xD)
| ~ aScalar0(xF)
| ~ aScalar0(xD) ),
inference(superposition,[],[f213,f159]) ).
fof(f1628,plain,
( smndt0(xS) = sdtasdt0(smndt0(xF),xD)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f1594,f150]) ).
fof(f1629,plain,
( smndt0(xP) = sdtasdt0(smndt0(xE),xH)
| ~ aScalar0(xH) ),
inference(forward_subsumption_resolution,[],[f1593,f148]) ).
fof(f1634,plain,
smndt0(xS) = sdtasdt0(smndt0(xF),xD),
inference(forward_subsumption_resolution,[],[f1628,f146]) ).
fof(f1635,plain,
smndt0(xP) = sdtasdt0(smndt0(xE),xH),
inference(forward_subsumption_resolution,[],[f1629,f154]) ).
fof(f1647,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(X0,smndt0(xF))
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(xD) ),
inference(superposition,[],[f833,f1634]) ).
fof(f1656,definition,
( spl2_50
<=> aScalar0(smndt0(xF)) ),
introduced(definition,[new_symbols(definition,[spl2_50])],[avatar_definition]) ).
fof(f1657,plain,
( aScalar0(smndt0(xF))
| ~ spl2_50 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f1658,plain,
( ~ aScalar0(smndt0(xF))
| spl2_50 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f1681,plain,
( ~ aScalar0(xF)
| spl2_50 ),
inference(resolution,[],[f1658,f215]) ).
fof(f1682,plain,
( $false
| spl2_50 ),
inference(forward_subsumption_resolution,[],[f1681,f150]) ).
fof(f1683,plain,
spl2_50,
inference(avatar_contradiction_clause,[],[f1682]) ).
fof(f1684,plain,
( smndt0(xP) = sdtasdt0(xH,smndt0(xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(xH)
| ~ spl2_3 ),
inference(superposition,[],[f1635,f229]) ).
fof(f1699,plain,
( smndt0(xP) = sdtasdt0(xH,smndt0(xE))
| ~ aScalar0(smndt0(xE))
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f1684,f154]) ).
fof(f1701,definition,
( spl2_55
<=> aScalar0(smndt0(xE)) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
fof(f1702,plain,
( aScalar0(smndt0(xE))
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f1701]) ).
fof(f1703,plain,
( ~ aScalar0(smndt0(xE))
| spl2_55 ),
inference(avatar_component_clause,[],[f1701]) ).
fof(f1705,definition,
( spl2_56
<=> smndt0(xP) = sdtasdt0(xH,smndt0(xE)) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
fof(f1707,plain,
( smndt0(xP) = sdtasdt0(xH,smndt0(xE))
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f1725,plain,
( ~ spl2_55
| spl2_56
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f1699,f228,f1705,f1701]) ).
fof(f1726,plain,
( ~ aScalar0(xE)
| spl2_55 ),
inference(resolution,[],[f1703,f215]) ).
fof(f1727,plain,
( $false
| spl2_55 ),
inference(forward_subsumption_resolution,[],[f1726,f148]) ).
fof(f1728,plain,
spl2_55,
inference(avatar_contradiction_clause,[],[f1727]) ).
fof(f1774,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[],[f165,f145]) ).
fof(f1775,plain,
( ~ aVector0(xq)
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f1774,f375]) ).
fof(f1776,plain,
( $false
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f1775,f138]) ).
fof(f1777,plain,
spl2_12,
inference(avatar_contradiction_clause,[],[f1776]) ).
fof(f1778,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(X0)
| ~ aScalar0(xF)
| ~ aScalar0(xD) )
| spl2_10 ),
inference(forward_subsumption_resolution,[],[f840,f367]) ).
fof(f1779,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(X0,smndt0(xF))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(xD) )
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1647,f374]) ).
fof(f1781,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xF)
| ~ aScalar0(X0)
| ~ aScalar0(xF)
| ~ aScalar0(xD) )
| spl2_10
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1778,f374]) ).
fof(f1782,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(X0,smndt0(xF))
| ~ aScalar0(X0)
| ~ aScalar0(xD) )
| ~ spl2_12
| ~ spl2_50 ),
inference(forward_subsumption_resolution,[],[f1779,f1657]) ).
fof(f1784,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xF)
| ~ aScalar0(X0)
| ~ aScalar0(xD) )
| spl2_10
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1781,f150]) ).
fof(f1785,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(X0,smndt0(xF))
| ~ aScalar0(X0) )
| ~ spl2_12
| ~ spl2_50 ),
inference(forward_subsumption_resolution,[],[f1782,f146]) ).
fof(f1787,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xF)
| ~ aScalar0(X0) )
| spl2_10
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1784,f146]) ).
fof(f1789,definition,
( spl2_65
<=> ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xF))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).
fof(f1790,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xF))
| ~ aScalar0(X0) )
| ~ spl2_65 ),
inference(avatar_component_clause,[],[f1789]) ).
fof(f1792,definition,
( spl2_66
<=> sdtlseqdt0(sz0z00,smndt0(xS)) ),
introduced(definition,[new_symbols(definition,[spl2_66])],[avatar_definition]) ).
fof(f1794,plain,
( sdtlseqdt0(sz0z00,smndt0(xS))
| ~ spl2_66 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f1795,plain,
( spl2_65
| spl2_66
| ~ spl2_12
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f1785,f1656,f373,f1792,f1789]) ).
fof(f1796,plain,
( ~ aScalar0(xF)
| ~ aScalar0(xF)
| spl2_10
| ~ spl2_12 ),
inference(resolution,[],[f1787,f187]) ).
fof(f1806,plain,
( ~ aScalar0(xF)
| spl2_10
| ~ spl2_12 ),
inference(duplicate_literal_removal,[],[f1796]) ).
fof(f1810,plain,
( $false
| spl2_10
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1806,f150]) ).
fof(f1811,plain,
( spl2_10
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1810]) ).
fof(f1908,plain,
( ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xF))
| ~ spl2_65 ),
inference(resolution,[],[f1790,f187]) ).
fof(f1919,plain,
( ~ aScalar0(smndt0(xF))
| ~ spl2_65 ),
inference(duplicate_literal_removal,[],[f1908]) ).
fof(f1926,plain,
( $false
| ~ spl2_50
| ~ spl2_65 ),
inference(forward_subsumption_resolution,[],[f1919,f1657]) ).
fof(f1927,plain,
( ~ spl2_50
| ~ spl2_65 ),
inference(avatar_contradiction_clause,[],[f1926]) ).
fof(f1940,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xS)
| sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(xS) )
| ~ spl2_66 ),
inference(resolution,[],[f1794,f628]) ).
fof(f1941,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,xS)
| ~ aScalar0(X0) )
| ~ spl2_66 ),
inference(forward_subsumption_resolution,[],[f1940,f160]) ).
fof(f2375,definition,
( spl2_73
<=> sdtlseqdt0(xS,sz0z00) ),
introduced(definition,[new_symbols(definition,[spl2_73])],[avatar_definition]) ).
fof(f2376,plain,
( sdtlseqdt0(xS,sz0z00)
| ~ spl2_73 ),
inference(avatar_component_clause,[],[f2375]) ).
fof(f2377,plain,
( ~ sdtlseqdt0(xS,sz0z00)
| spl2_73 ),
inference(avatar_component_clause,[],[f2375]) ).
fof(f2402,plain,
( ~ sdtlseqdt0(xS,xS)
| ~ aScalar0(xS)
| ~ spl2_66
| spl2_73 ),
inference(resolution,[],[f2377,f1941]) ).
fof(f2409,plain,
( ~ aScalar0(xS)
| ~ spl2_66
| spl2_73 ),
inference(forward_subsumption_resolution,[],[f2402,f187]) ).
fof(f2411,plain,
( $false
| ~ spl2_66
| spl2_73 ),
inference(forward_subsumption_resolution,[],[f2409,f160]) ).
fof(f2412,plain,
( ~ spl2_66
| spl2_73 ),
inference(avatar_contradiction_clause,[],[f2411]) ).
fof(f2495,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| sz0z00 = xS
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ spl2_73 ),
inference(resolution,[],[f186,f2376]) ).
fof(f2513,plain,
( sz0z00 = xS
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ spl2_10
| ~ spl2_73 ),
inference(forward_subsumption_resolution,[],[f2495,f366]) ).
fof(f2542,plain,
( sz0z00 = xS
| ~ aScalar0(xS)
| ~ spl2_10
| ~ spl2_73 ),
inference(forward_subsumption_resolution,[],[f2513,f211]) ).
fof(f2560,plain,
( sz0z00 = xS
| ~ spl2_10
| ~ spl2_73 ),
inference(forward_subsumption_resolution,[],[f2542,f160]) ).
fof(f2593,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,sz0z00))
| ~ spl2_10
| spl2_20
| ~ spl2_73 ),
inference(superposition,[],[f427,f2560]) ).
fof(f2718,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xR)
| ~ spl2_10
| spl2_20
| ~ spl2_73 ),
inference(superposition,[],[f2593,f209]) ).
fof(f2754,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(X0,xH)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ aScalar0(X0)
| ~ aScalar0(xH)
| ~ aScalar0(smndt0(xE)) )
| ~ spl2_56 ),
inference(superposition,[],[f833,f1707]) ).
fof(f2755,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(X0,xH)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) )
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f2754,f154]) ).
fof(f2762,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(X0,xH)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ aScalar0(X0) )
| ~ spl2_55
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f2755,f1702]) ).
fof(f2770,definition,
( spl2_89
<=> sdtlseqdt0(sz0z00,smndt0(xE)) ),
introduced(definition,[new_symbols(definition,[spl2_89])],[avatar_definition]) ).
fof(f2772,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xE))
| spl2_89 ),
inference(avatar_component_clause,[],[f2770]) ).
fof(f2774,definition,
( spl2_90
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xH)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_90])],[avatar_definition]) ).
fof(f2775,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xH)
| ~ aScalar0(X0) )
| ~ spl2_90 ),
inference(avatar_component_clause,[],[f2774]) ).
fof(f2777,definition,
( spl2_91
<=> sdtlseqdt0(sz0z00,smndt0(xP)) ),
introduced(definition,[new_symbols(definition,[spl2_91])],[avatar_definition]) ).
fof(f2778,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| spl2_91 ),
inference(avatar_component_clause,[],[f2777]) ).
fof(f2780,plain,
( ~ spl2_89
| spl2_90
| spl2_91
| ~ spl2_55
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f2762,f1705,f1701,f2777,f2774,f2770]) ).
fof(f2804,plain,
! [X0] :
( sdtpldt0(X0,smndt0(X0)) = sdtpldt0(sz0z00,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(X0)) ),
inference(superposition,[],[f574,f209]) ).
fof(f2885,plain,
! [X0] :
( sdtpldt0(X0,smndt0(X0)) = sdtpldt0(sz0z00,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) ),
inference(forward_subsumption_resolution,[],[f2804,f211]) ).
fof(f2894,plain,
! [X0] :
( sdtpldt0(X0,smndt0(X0)) = sdtpldt0(sz0z00,sz0z00)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f2885,f215]) ).
fof(f2906,plain,
! [X0] :
( sz0z00 = sdtpldt0(sz0z00,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X0) ),
inference(superposition,[],[f2894,f205]) ).
fof(f2925,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sz0z00,sz0z00),sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ aScalar0(X0) )
| ~ spl2_7
| ~ spl2_8 ),
inference(superposition,[],[f734,f2894]) ).
fof(f2951,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sz0z00,sz0z00),sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0) )
| ~ spl2_7
| ~ spl2_8 ),
inference(duplicate_literal_removal,[],[f2925]) ).
fof(f2968,plain,
! [X0] :
( sz0z00 = sdtpldt0(sz0z00,sz0z00)
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f2906]) ).
fof(f2980,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sz0z00,sz0z00),sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0) )
| ~ spl2_7
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f2951,f215]) ).
fof(f2997,definition,
( spl2_96
<=> sz0z00 = sdtpldt0(sz0z00,sz0z00) ),
introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).
fof(f2999,plain,
( sz0z00 = sdtpldt0(sz0z00,sz0z00)
| ~ spl2_96 ),
inference(avatar_component_clause,[],[f2997]) ).
fof(f3003,plain,
( spl2_1
| spl2_96 ),
inference(avatar_split_clause,[],[f2968,f2997,f220]) ).
fof(f3020,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sz0z00,sz0z00),sdtpldt0(xR,sz0z00))
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0) )
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_73 ),
inference(forward_demodulation,[],[f2980,f2560]) ).
fof(f3040,definition,
( spl2_103
<=> ! [X0] :
( ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_103])],[avatar_definition]) ).
fof(f3041,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_103 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f3043,definition,
( spl2_104
<=> sdtlseqdt0(sdtpldt0(sz0z00,sz0z00),sdtpldt0(xR,sz0z00)) ),
introduced(definition,[new_symbols(definition,[spl2_104])],[avatar_definition]) ).
fof(f3045,plain,
( ~ sdtlseqdt0(sdtpldt0(sz0z00,sz0z00),sdtpldt0(xR,sz0z00))
| spl2_104 ),
inference(avatar_component_clause,[],[f3043]) ).
fof(f3046,plain,
( spl2_103
| ~ spl2_104
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f3020,f2375,f365,f257,f253,f3043,f3040]) ).
fof(f3054,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,sz0z00))
| ~ spl2_96
| spl2_104 ),
inference(forward_demodulation,[],[f3045,f2999]) ).
fof(f3210,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(X0,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(X0)
| ~ aScalar0(xG)
| ~ aScalar0(xC) )
| ~ spl2_3 ),
inference(superposition,[],[f843,f155]) ).
fof(f3219,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(X0)
| ~ aScalar0(xG)
| ~ aScalar0(xC) )
| ~ spl2_3
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f3210,f1409]) ).
fof(f3223,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xG)
| ~ aScalar0(X0)
| ~ aScalar0(xG)
| ~ aScalar0(xC) )
| ~ spl2_3
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f3219,f1434]) ).
fof(f3227,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xG)
| ~ aScalar0(X0)
| ~ aScalar0(xC) )
| ~ spl2_3
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f3223,f152]) ).
fof(f3234,definition,
( spl2_110
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xG)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
fof(f3235,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xG)
| ~ aScalar0(X0) )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f3234]) ).
fof(f3241,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xG)
| ~ aScalar0(X0) )
| ~ spl2_3
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f3227,f144]) ).
fof(f3243,plain,
( spl2_110
| ~ spl2_3
| spl2_42 ),
inference(avatar_split_clause,[],[f3241,f1407,f228,f3234]) ).
fof(f3244,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,sz0z00))
| ~ spl2_10
| ~ spl2_20
| ~ spl2_73 ),
inference(forward_demodulation,[],[f426,f2560]) ).
fof(f3262,plain,
( $false
| ~ spl2_10
| ~ spl2_20
| ~ spl2_73
| ~ spl2_96
| spl2_104 ),
inference(forward_subsumption_resolution,[],[f3244,f3054]) ).
fof(f3263,plain,
( ~ spl2_10
| ~ spl2_20
| ~ spl2_73
| ~ spl2_96
| spl2_104 ),
inference(avatar_contradiction_clause,[],[f3262]) ).
fof(f3316,plain,
( ~ aScalar0(xR)
| ~ spl2_10
| spl2_20
| ~ spl2_42
| ~ spl2_73 ),
inference(forward_subsumption_resolution,[],[f2718,f1408]) ).
fof(f3321,plain,
( $false
| ~ spl2_10
| spl2_20
| ~ spl2_42
| ~ spl2_73 ),
inference(forward_subsumption_resolution,[],[f3316,f156]) ).
fof(f3322,plain,
( ~ spl2_10
| spl2_20
| ~ spl2_42
| ~ spl2_73 ),
inference(avatar_contradiction_clause,[],[f3321]) ).
fof(f3531,plain,
( ~ aScalar0(xG)
| ~ aScalar0(xG)
| ~ spl2_110 ),
inference(resolution,[],[f3235,f187]) ).
fof(f3542,plain,
( ~ aScalar0(xG)
| ~ spl2_110 ),
inference(duplicate_literal_removal,[],[f3531]) ).
fof(f3547,plain,
( $false
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f3542,f152]) ).
fof(f3548,plain,
~ spl2_110,
inference(avatar_contradiction_clause,[],[f3547]) ).
fof(f3616,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(xP)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ spl2_103 ),
inference(resolution,[],[f3041,f1328]) ).
fof(f3651,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(xP)
| ~ spl2_103 ),
inference(duplicate_literal_removal,[],[f3616]) ).
fof(f3663,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ spl2_103 ),
inference(forward_subsumption_resolution,[],[f3651,f158]) ).
fof(f3669,plain,
( ~ spl2_91
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f3663,f3040,f2777]) ).
fof(f4993,plain,
( smndt0(xP) = sdtasdt0(xE,smndt0(xH))
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[],[f214,f157]) ).
fof(f5065,plain,
( smndt0(xP) = sdtasdt0(xE,smndt0(xH))
| ~ aScalar0(xH) ),
inference(forward_subsumption_resolution,[],[f4993,f148]) ).
fof(f5078,plain,
smndt0(xP) = sdtasdt0(xE,smndt0(xH)),
inference(forward_subsumption_resolution,[],[f5065,f154]) ).
fof(f5113,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(X0,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(xE) )
| ~ spl2_3 ),
inference(superposition,[],[f843,f5078]) ).
fof(f5114,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(xE) )
| ~ spl2_3
| spl2_91 ),
inference(forward_subsumption_resolution,[],[f5113,f2778]) ).
fof(f5122,definition,
( spl2_136
<=> aScalar0(smndt0(xH)) ),
introduced(definition,[new_symbols(definition,[spl2_136])],[avatar_definition]) ).
fof(f5123,plain,
( aScalar0(smndt0(xH))
| ~ spl2_136 ),
inference(avatar_component_clause,[],[f5122]) ).
fof(f5124,plain,
( ~ aScalar0(smndt0(xH))
| spl2_136 ),
inference(avatar_component_clause,[],[f5122]) ).
fof(f5130,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH)) )
| ~ spl2_3
| spl2_91 ),
inference(forward_subsumption_resolution,[],[f5114,f148]) ).
fof(f5158,definition,
( spl2_144
<=> sdtlseqdt0(sz0z00,xE) ),
introduced(definition,[new_symbols(definition,[spl2_144])],[avatar_definition]) ).
fof(f5160,plain,
( ~ sdtlseqdt0(sz0z00,xE)
| spl2_144 ),
inference(avatar_component_clause,[],[f5158]) ).
fof(f5162,definition,
( spl2_145
<=> ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xH))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_145])],[avatar_definition]) ).
fof(f5163,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xH))
| ~ aScalar0(X0) )
| ~ spl2_145 ),
inference(avatar_component_clause,[],[f5162]) ).
fof(f5164,plain,
( ~ spl2_136
| ~ spl2_144
| spl2_145
| ~ spl2_3
| spl2_91 ),
inference(avatar_split_clause,[],[f5130,f2777,f228,f5162,f5158,f5122]) ).
fof(f5169,plain,
( ~ aScalar0(xH)
| spl2_136 ),
inference(resolution,[],[f5124,f215]) ).
fof(f5170,plain,
( $false
| spl2_136 ),
inference(forward_subsumption_resolution,[],[f5169,f154]) ).
fof(f5171,plain,
spl2_136,
inference(avatar_contradiction_clause,[],[f5170]) ).
fof(f5994,plain,
( sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| spl2_144 ),
inference(resolution,[],[f5160,f182]) ).
fof(f5995,plain,
( sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(sz0z00)
| spl2_144 ),
inference(forward_subsumption_resolution,[],[f5994,f148]) ).
fof(f5997,plain,
( sdtlseqdt0(xE,sz0z00)
| spl2_144 ),
inference(forward_subsumption_resolution,[],[f5995,f211]) ).
fof(f6795,plain,
( ~ sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xE)
| spl2_89 ),
inference(resolution,[],[f2772,f688]) ).
fof(f6804,plain,
( ~ aScalar0(xE)
| spl2_89
| spl2_144 ),
inference(forward_subsumption_resolution,[],[f6795,f5997]) ).
fof(f6807,plain,
( $false
| spl2_89
| spl2_144 ),
inference(forward_subsumption_resolution,[],[f6804,f148]) ).
fof(f6808,plain,
( spl2_89
| spl2_144 ),
inference(avatar_contradiction_clause,[],[f6807]) ).
fof(f6810,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| ~ spl2_90 ),
inference(resolution,[],[f2775,f187]) ).
fof(f6826,plain,
( ~ aScalar0(xH)
| ~ spl2_90 ),
inference(duplicate_literal_removal,[],[f6810]) ).
fof(f6833,plain,
( $false
| ~ spl2_90 ),
inference(forward_subsumption_resolution,[],[f6826,f154]) ).
fof(f6834,plain,
~ spl2_90,
inference(avatar_contradiction_clause,[],[f6833]) ).
fof(f6840,plain,
( ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xH))
| ~ spl2_145 ),
inference(resolution,[],[f5163,f187]) ).
fof(f6857,plain,
( ~ aScalar0(smndt0(xH))
| ~ spl2_145 ),
inference(duplicate_literal_removal,[],[f6840]) ).
fof(f6867,plain,
( $false
| ~ spl2_136
| ~ spl2_145 ),
inference(forward_subsumption_resolution,[],[f6857,f5123]) ).
fof(f6868,plain,
( ~ spl2_136
| ~ spl2_145 ),
inference(avatar_contradiction_clause,[],[f6867]) ).
cnf(s2,plain,
( spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f230]) ).
cnf(s6,plain,
spl2_7,
inference(sat_conversion,[],[f269]) ).
cnf(s7,plain,
spl2_8,
inference(sat_conversion,[],[f273]) ).
cnf(s17,plain,
~ spl2_1,
inference(sat_conversion,[],[f462]) ).
cnf(s51,plain,
spl2_50,
inference(sat_conversion,[],[f1683]) ).
cnf(s58,plain,
( ~ spl2_3
| ~ spl2_55
| spl2_56 ),
inference(sat_conversion,[],[f1725]) ).
cnf(s59,plain,
spl2_55,
inference(sat_conversion,[],[f1728]) ).
cnf(s68,plain,
spl2_12,
inference(sat_conversion,[],[f1777]) ).
cnf(s69,plain,
( ~ spl2_12
| ~ spl2_50
| spl2_65
| spl2_66 ),
inference(sat_conversion,[],[f1795]) ).
cnf(s70,plain,
( spl2_10
| ~ spl2_12 ),
inference(sat_conversion,[],[f1811]) ).
cnf(s78,plain,
( ~ spl2_50
| ~ spl2_65 ),
inference(sat_conversion,[],[f1927]) ).
cnf(s87,plain,
( ~ spl2_66
| spl2_73 ),
inference(sat_conversion,[],[f2412]) ).
cnf(s103,plain,
( ~ spl2_55
| ~ spl2_56
| ~ spl2_89
| spl2_90
| spl2_91 ),
inference(sat_conversion,[],[f2780]) ).
cnf(s107,plain,
( spl2_1
| spl2_96 ),
inference(sat_conversion,[],[f3003]) ).
cnf(s114,plain,
( ~ spl2_7
| ~ spl2_8
| ~ spl2_10
| ~ spl2_73
| spl2_103
| ~ spl2_104 ),
inference(sat_conversion,[],[f3046]) ).
cnf(s119,plain,
( ~ spl2_3
| spl2_42
| spl2_110 ),
inference(sat_conversion,[],[f3243]) ).
cnf(s120,plain,
( ~ spl2_10
| ~ spl2_20
| ~ spl2_73
| ~ spl2_96
| spl2_104 ),
inference(sat_conversion,[],[f3263]) ).
cnf(s130,plain,
( ~ spl2_10
| spl2_20
| ~ spl2_42
| ~ spl2_73 ),
inference(sat_conversion,[],[f3322]) ).
cnf(s147,plain,
~ spl2_110,
inference(sat_conversion,[],[f3548]) ).
cnf(s149,plain,
( ~ spl2_91
| ~ spl2_103 ),
inference(sat_conversion,[],[f3669]) ).
cnf(s171,plain,
( ~ spl2_3
| spl2_91
| ~ spl2_136
| ~ spl2_144
| spl2_145 ),
inference(sat_conversion,[],[f5164]) ).
cnf(s173,plain,
spl2_136,
inference(sat_conversion,[],[f5171]) ).
cnf(s237,plain,
( spl2_89
| spl2_144 ),
inference(sat_conversion,[],[f6808]) ).
cnf(s239,plain,
~ spl2_90,
inference(sat_conversion,[],[f6834]) ).
cnf(s241,plain,
( ~ spl2_136
| ~ spl2_145 ),
inference(sat_conversion,[],[f6868]) ).
cnf(s252,plain,
~ spl2_145,
inference(rat,[],[s241,s173]) ).
cnf(s254,plain,
( ~ spl2_3
| spl2_91
| ~ spl2_144 ),
inference(rat,[],[s171,s252,s173]) ).
cnf(s262,plain,
( ~ spl2_3
| spl2_42 ),
inference(rat,[],[s119,s147]) ).
cnf(s265,plain,
( ~ spl2_55
| ~ spl2_56
| ~ spl2_89
| spl2_91 ),
inference(rat,[],[s103,s239]) ).
cnf(s273,plain,
spl2_10,
inference(rat,[],[s70,s68]) ).
cnf(s282,plain,
( ~ spl2_3
| spl2_56 ),
inference(rat,[],[s58,s59]) ).
cnf(s289,plain,
~ spl2_65,
inference(rat,[],[s78,s51]) ).
cnf(s290,plain,
spl2_66,
inference(rat,[],[s69,s51,s68,s289]) ).
cnf(s291,plain,
spl2_73,
inference(rat,[],[s87,s290]) ).
cnf(s311,plain,
spl2_96,
inference(rat,[],[s107,s17]) ).
cnf(s328,plain,
spl2_3,
inference(rat,[],[s2,s17]) ).
cnf(s330,plain,
spl2_42,
inference(rat,[],[s262,s328]) ).
cnf(s332,plain,
spl2_56,
inference(rat,[],[s282,s328]) ).
cnf(s338,plain,
spl2_20,
inference(rat,[],[s130,s291,s273,s330]) ).
cnf(s342,plain,
spl2_104,
inference(rat,[],[s120,s311,s291,s273,s338]) ).
cnf(s347,plain,
spl2_103,
inference(rat,[],[s114,s6,s7,s291,s273,s342]) ).
cnf(s351,plain,
~ spl2_91,
inference(rat,[],[s149,s347]) ).
cnf(s352,plain,
~ spl2_144,
inference(rat,[],[s254,s328,s351]) ).
cnf(s354,plain,
~ spl2_89,
inference(rat,[],[s265,s332,s59,s351]) ).
cnf(s355,plain,
$false,
inference(rat,[],[s237,s352,s354]) ).
fof(f6877,plain,
$false,
inference(avatar_sat_refutation,[],[s355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG053+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:02:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 24.02/4.24 % (650523)Detected formulas, will run a generic FOF schedule.
% 24.02/4.24 % (650631)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=263026782:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 24.02/4.24 % (650629)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=3019373672:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 24.02/4.24 % (650632)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2018232895:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 24.02/4.24 % (650635)dis-21_1_sil=8000:lcm=predicate:random_seed=3022493716: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)
% 24.02/4.24 % (650633)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2881934612:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 24.02/4.24 % (650630)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=987666325:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 24.02/4.24 % (650634)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2714358334:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 24.02/4.24 % (650633)Instruction limit reached!
% 24.02/4.24 % (650633)------------------------------
% 24.02/4.24 % (650633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/4.24 % (650633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/4.24 % (650633)CaDiCaL version: 2.1.3
% 24.02/4.24 % (650633)Termination reason: Instruction limit
% 24.02/4.24 % (650633)Termination phase: Saturation
% 24.02/4.24 % (650633)Time elapsed: 0.092 s
% 24.02/4.24 % (650633)Peak memory usage: 88 MB
% 24.02/4.24 % (650633)Instructions burned: 119 (million)
% 24.02/4.24 % (650632)Instruction limit reached!
% 24.02/4.24 % (650632)------------------------------
% 24.02/4.24 % (650632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/4.24 % (650632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/4.24 % (650632)CaDiCaL version: 2.1.3
% 24.02/4.24 % (650632)Termination reason: Instruction limit
% 24.02/4.24 % (650632)Termination phase: Saturation
% 24.02/4.24 % (650632)Time elapsed: 0.094 s
% 24.02/4.24 % (650632)Peak memory usage: 89 MB
% 24.02/4.24 % (650632)Instructions burned: 109 (million)
% 24.02/4.24 % (650635)Instruction limit reached!
% 24.02/4.24 % (650635)------------------------------
% 24.02/4.24 % (650635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/4.24 % (650635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/4.24 % (650635)CaDiCaL version: 2.1.3
% 24.02/4.24 % (650635)Termination reason: Instruction limit
% 24.02/4.24 % (650635)Termination phase: Saturation
% 24.02/4.24 % (650635)Time elapsed: 0.098 s
% 24.02/4.24 % (650635)Peak memory usage: 89 MB
% 24.02/4.24 % (650635)Instructions burned: 129 (million)
% 24.02/4.24 % (650634)Instruction limit reached!
% 24.02/4.24 % (650634)------------------------------
% 24.02/4.24 % (650634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/4.24 % (650634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/4.24 % (650634)CaDiCaL version: 2.1.3
% 24.02/4.24 % (650634)Termination reason: Instruction limit
% 24.02/4.24 % (650634)Termination phase: Saturation
% 24.02/4.24 % (650634)Time elapsed: 0.126 s
% 24.02/4.24 % (650634)Peak memory usage: 90 MB
% 24.02/4.24 % (650634)Instructions burned: 139 (million)
% 24.02/4.24 % (650671)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2687665387:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 24.02/4.24 % (650670)lrs+10_1_sil=8000:sp=occurrence:random_seed=592401044:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 24.02/4.24 % (650672)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2021443228:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 24.02/4.24 % (650671)Instruction limit reached!
% 24.02/4.24 % (650671)------------------------------
% 24.02/4.24 % (650671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/4.24 % (650671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/4.24 % (650671)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650671)Termination reason: Instruction limit
% 24.67/4.73 % (650671)Termination phase: Saturation
% 24.67/4.73 % (650671)Time elapsed: 0.087 s
% 24.67/4.73 % (650671)Peak memory usage: 91 MB
% 24.67/4.73 % (650671)Instructions burned: 157 (million)
% 24.67/4.73 % (650673)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=3916402868:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 24.67/4.73 % (650673)Instruction limit reached!
% 24.67/4.73 % (650673)------------------------------
% 24.67/4.73 % (650673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650673)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650673)Termination reason: Instruction limit
% 24.67/4.73 % (650673)Termination phase: Saturation
% 24.67/4.73 % (650673)Time elapsed: 0.197 s
% 24.67/4.73 % (650673)Peak memory usage: 94 MB
% 24.67/4.73 % (650673)Instructions burned: 248 (million)
% 24.67/4.73 % (650689)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1062968611:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 24.67/4.73 % (650670)Instruction limit reached!
% 24.67/4.73 % (650670)------------------------------
% 24.67/4.73 % (650670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650670)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650670)Termination reason: Instruction limit
% 24.67/4.73 % (650670)Termination phase: Saturation
% 24.67/4.73 % (650670)Time elapsed: 0.281 s
% 24.67/4.73 % (650670)Peak memory usage: 93 MB
% 24.67/4.73 % (650670)Instructions burned: 285 (million)
% 24.67/4.73 % (650672)Instruction limit reached!
% 24.67/4.73 % (650672)------------------------------
% 24.67/4.73 % (650672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650672)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650672)Termination reason: Instruction limit
% 24.67/4.73 % (650672)Termination phase: Saturation
% 24.67/4.73 % (650672)Time elapsed: 0.333 s
% 24.67/4.73 % (650672)Peak memory usage: 94 MB
% 24.67/4.73 % (650672)Instructions burned: 326 (million)
% 24.67/4.73 % (650689)Instruction limit reached!
% 24.67/4.73 % (650689)------------------------------
% 24.67/4.73 % (650689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650689)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650689)Termination reason: Instruction limit
% 24.67/4.73 % (650689)Termination phase: Saturation
% 24.67/4.73 % (650689)Time elapsed: 0.156 s
% 24.67/4.73 % (650689)Peak memory usage: 90 MB
% 24.67/4.73 % (650689)Instructions burned: 295 (million)
% 24.67/4.73 % (650691)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1877045920:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 24.67/4.73 % (650693)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=66142577:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 24.67/4.73 % (650696)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1745955874:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 24.67/4.73 % (650693)Instruction limit reached!
% 24.67/4.73 % (650693)------------------------------
% 24.67/4.73 % (650693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650693)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650693)Termination reason: Instruction limit
% 24.67/4.73 % (650693)Termination phase: Saturation
% 24.67/4.73 % (650693)Time elapsed: 0.121 s
% 24.67/4.73 % (650693)Peak memory usage: 91 MB
% 24.67/4.73 % (650693)Instructions burned: 114 (million)
% 24.67/4.73 % (650696)Instruction limit reached!
% 24.67/4.73 % (650696)------------------------------
% 24.67/4.73 % (650696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650696)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650696)Termination reason: Instruction limit
% 24.67/4.73 % (650696)Termination phase: Saturation
% 24.67/4.73 % (650696)Time elapsed: 0.112 s
% 24.67/4.73 % (650696)Peak memory usage: 89 MB
% 24.67/4.73 % (650696)Instructions burned: 128 (million)
% 24.67/4.73 % (650699)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2025744566:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 24.67/4.73 % (650699)Instruction limit reached!
% 24.67/4.73 % (650699)------------------------------
% 24.67/4.73 % (650699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650699)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650699)Termination reason: Instruction limit
% 24.67/4.73 % (650699)Termination phase: Saturation
% 24.67/4.73 % (650699)Time elapsed: 0.107 s
% 24.67/4.73 % (650699)Peak memory usage: 89 MB
% 24.67/4.73 % (650699)Instructions burned: 114 (million)
% 24.67/4.73 % (650707)lrs+10_1_sil=8000:sp=occurrence:random_seed=3767566177:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 24.67/4.73 % (650708)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3470674695:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 24.67/4.73 % (650710)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=643909601:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 24.67/4.73 % (650708)Instruction limit reached!
% 24.67/4.73 % (650708)------------------------------
% 24.67/4.73 % (650708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650708)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650708)Termination reason: Instruction limit
% 24.67/4.73 % (650708)Termination phase: Saturation
% 24.67/4.73 % (650708)Time elapsed: 0.379 s
% 24.67/4.73 % (650708)Peak memory usage: 94 MB
% 24.67/4.73 % (650708)Instructions burned: 437 (million)
% 24.67/4.73 % (650721)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4122381344:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 24.67/4.73 % (650721)Instruction limit reached!
% 24.67/4.73 % (650721)------------------------------
% 24.67/4.73 % (650721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650721)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650721)Termination reason: Instruction limit
% 24.67/4.73 % (650721)Termination phase: Saturation
% 24.67/4.73 % (650721)Time elapsed: 0.108 s
% 24.67/4.73 % (650721)Peak memory usage: 91 MB
% 24.67/4.73 % (650721)Instructions burned: 134 (million)
% 24.67/4.73 % (650707)Instruction limit reached!
% 24.67/4.73 % (650707)------------------------------
% 24.67/4.73 % (650707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650707)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650707)Termination reason: Instruction limit
% 24.67/4.73 % (650707)Termination phase: Saturation
% 24.67/4.73 % (650707)Time elapsed: 0.857 s
% 24.67/4.73 % (650707)Peak memory usage: 101 MB
% 24.67/4.73 % (650707)Instructions burned: 907 (million)
% 24.67/4.73 % (650724)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1256280305:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 24.67/4.73 % (650725)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2771789581:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 24.67/4.73 % (650724)Instruction limit reached!
% 24.67/4.73 % (650724)------------------------------
% 24.67/4.73 % (650724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650724)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650724)Termination reason: Instruction limit
% 24.67/4.73 % (650724)Termination phase: Saturation
% 24.67/4.73 % (650724)Time elapsed: 0.409 s
% 24.67/4.73 % (650724)Peak memory usage: 89 MB
% 24.67/4.73 % (650724)Instructions burned: 592 (million)
% 24.67/4.73 % (650730)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=3361353290:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/125Mi)
% 24.67/4.73 % (650730)Instruction limit reached!
% 24.67/4.73 % (650730)------------------------------
% 24.67/4.73 % (650730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650730)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650730)Termination reason: Instruction limit
% 24.67/4.73 % (650730)Termination phase: Saturation
% 24.67/4.73 % (650730)Time elapsed: 0.112 s
% 24.67/4.73 % (650730)Peak memory usage: 90 MB
% 24.67/4.73 % (650730)Instructions burned: 126 (million)
% 24.67/4.73 % (650691)Instruction limit reached!
% 24.67/4.73 % (650691)------------------------------
% 24.67/4.73 % (650691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650691)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650691)Termination reason: Instruction limit
% 24.67/4.73 % (650691)Termination phase: Saturation
% 24.67/4.73 % (650691)Time elapsed: 2.402 s
% 24.67/4.73 % (650691)Peak memory usage: 143 MB
% 24.67/4.73 % (650691)Instructions burned: 2350 (million)
% 24.67/4.73 % (650710)First to succeed.
% 24.67/4.73 % (650710)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-650523"
% 24.67/4.73 % (650732)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3563662931:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 24.67/4.73 % (650733)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2402896475:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/141Mi)
% 24.67/4.73 % (650732)Instruction limit reached!
% 24.67/4.73 % (650732)------------------------------
% 24.67/4.73 % (650732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650732)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650732)Termination reason: Instruction limit
% 24.67/4.73 % (650732)Termination phase: Saturation
% 24.67/4.73 % (650732)Time elapsed: 0.122 s
% 24.67/4.73 % (650732)Peak memory usage: 91 MB
% 24.67/4.73 % (650732)Instructions burned: 134 (million)
% 24.67/4.73 % (650733)Instruction limit reached!
% 24.67/4.73 % (650733)------------------------------
% 24.67/4.73 % (650733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.67/4.73 % (650733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/4.73 % (650733)CaDiCaL version: 2.1.3
% 24.67/4.73 % (650733)Termination reason: Instruction limit
% 24.67/4.73 % (650733)Termination phase: Saturation
% 24.67/4.73 % (650733)Time elapsed: 0.122 s
% 24.67/4.73 % (650733)Peak memory usage: 91 MB
% 24.67/4.73 % (650733)Instructions burned: 142 (million)
% 24.67/4.73 % (650710)Refutation found. Thanks to Tanya!
% 24.67/4.73 % SZS status Theorem for theBenchmark
% 24.67/4.73 % SZS output start Proof for theBenchmark
% See solution above
% 28.09/5.07 % (650710)------------------------------
% 28.09/5.07 % (650710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.09/5.07 % (650710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.09/5.07 % (650710)CaDiCaL version: 2.1.3
% 28.09/5.07 % (650710)Termination reason: Refutation
% 28.09/5.07 % (650710)Time elapsed: 1.839 s
% 28.09/5.07 % (650710)Peak memory usage: 137 MB
% 28.09/5.07 % (650710)Instructions burned: 1735 (million)
% 28.09/5.07 % (650710)------------------------------
% 28.09/5.07 % (650710)------------------------------
% 28.09/5.07 % (650523)Success in time 3.863 s
% 28.09/5.07 % Vampire exiting
%------------------------------------------------------------------------------