%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG053+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 : n014.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 12:35:17 PM UTC 2026
% Result : Theorem 17.49s 3.38s
% Output : Refutation 18.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 46
% Syntax : Number of formulae : 320 ( 57 unt; 21 def)
% Number of atoms : 1109 ( 75 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1513 ( 724 ~; 699 |; 55 &)
% ( 21 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 22 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 16 con; 0-2 aty)
% Number of variables : 270 ( 0 sgn 270 !; 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(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)
& 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(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,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f87,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f88,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f87]) ).
fof(f89,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(f90,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,[],[f89]) ).
fof(f91,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(f92,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,[],[f91]) ).
fof(f93,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f94,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f93]) ).
fof(f97,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f107,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(f108,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,[],[f107]) ).
fof(f109,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(f110,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f110]) ).
fof(f116,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(f117,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,[],[f116]) ).
fof(f118,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f130,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f132,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
fof(f134,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f137,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f138,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f139,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f140,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f142,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f144,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f146,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f148,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f149,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f150,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f151,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f152,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f153,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f154,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f158,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f59]) ).
fof(f159,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f176,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f177,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,[],[f90]) ).
fof(f178,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,[],[f92]) ).
fof(f179,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f181,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f191,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f194,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f195,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f196,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f197,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f198,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f200,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f202,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f203,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f204,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f207,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f208,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f209,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f214,definition,
( spl2_1
<=> ! [X0] : ~ aScalar0(X0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f215,plain,
( ! [X0] : ~ aScalar0(X0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,definition,
( spl2_2
<=> sz0z00 = smndt0(sz0z00) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f219,plain,
( sz0z00 = smndt0(sz0z00)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f220,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f195,f217,f214]) ).
fof(f222,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(f223,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f191,f222,f214]) ).
fof(f259,definition,
( spl2_7
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f260,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl2_7 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f263,definition,
( spl2_8
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f264,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl2_8 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f272,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_7 ),
inference(resolution,[],[f261,f203]) ).
fof(f273,plain,
( ~ aScalar0(xP)
| spl2_7 ),
inference(duplicate_literal_removal,[],[f272]) ).
fof(f274,plain,
( $false
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f273,f152]) ).
fof(f275,plain,
spl2_7,
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f276,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl2_8 ),
inference(resolution,[],[f265,f203]) ).
fof(f277,plain,
( ~ aScalar0(xS)
| spl2_8 ),
inference(forward_subsumption_resolution,[],[f276,f150]) ).
fof(f278,plain,
( $false
| spl2_8 ),
inference(forward_subsumption_resolution,[],[f277,f154]) ).
fof(f279,plain,
spl2_8,
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f280,plain,
! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[],[f179,f158]) ).
fof(f283,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xR,xS)) )
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f280,f260]) ).
fof(f285,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ aScalar0(X0) )
| ~ spl2_7
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f283,f264]) ).
fof(f329,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(smndt0(X0),X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X2)
| ~ aScalar0(X0) ),
inference(superposition,[],[f178,f198]) ).
fof(f330,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(smndt0(X0),X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X2) ),
inference(duplicate_literal_removal,[],[f329]) ).
fof(f333,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(smndt0(X0),X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f330,f209]) ).
fof(f355,definition,
( spl2_12
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f356,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f357,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| spl2_12 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f431,definition,
( spl2_14
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f432,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f433,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| spl2_14 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f439,definition,
( spl2_16
<=> sdtlseqdt0(sz0z00,xD) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f440,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( ~ sdtlseqdt0(sz0z00,xD)
| spl2_16 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f462,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xR)
| ~ sdtlseqdt0(smndt0(X0),xS)
| ~ aScalar0(X0)
| ~ aScalar0(xR)
| ~ aScalar0(xS) )
| spl2_12 ),
inference(resolution,[],[f333,f357]) ).
fof(f469,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xR)
| ~ sdtlseqdt0(smndt0(X0),xS)
| ~ aScalar0(X0)
| ~ aScalar0(xS) )
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f462,f150]) ).
fof(f470,plain,
( ! [X0] :
( ~ sdtlseqdt0(smndt0(X0),xS)
| ~ sdtlseqdt0(X0,xR)
| ~ aScalar0(X0) )
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f469,f154]) ).
fof(f473,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xS)
| ~ sdtlseqdt0(smndt0(X0),xR)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| spl2_12 ),
inference(superposition,[],[f470,f196]) ).
fof(f474,plain,
( ! [X0] :
( ~ sdtlseqdt0(smndt0(X0),xR)
| ~ sdtlseqdt0(X0,xS)
| ~ aScalar0(X0) )
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f473,f209]) ).
fof(f514,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,[],[f178,f194]) ).
fof(f528,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,[],[f514]) ).
fof(f543,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,[],[f528,f203]) ).
fof(f645,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f215,f134]) ).
fof(f656,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f662,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,[],[f177,f200]) ).
fof(f671,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,[],[f662]) ).
fof(f675,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,[],[f671,f181]) ).
fof(f677,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,[],[f675,f204]) ).
fof(f679,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,[],[f677,f223]) ).
fof(f684,plain,
! [X0] :
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(X0,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(X0)
| ~ aScalar0(xF)
| ~ aScalar0(xD) ),
inference(superposition,[],[f677,f153]) ).
fof(f687,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,[],[f679]) ).
fof(f701,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,[],[f178,f202]) ).
fof(f702,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,[],[f178,f202]) ).
fof(f721,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,[],[f702]) ).
fof(f722,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,[],[f701]) ).
fof(f731,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,[],[f721,f204]) ).
fof(f732,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,[],[f722,f204]) ).
fof(f767,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(X0),X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X0) ),
inference(superposition,[],[f731,f197]) ).
fof(f769,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(X0),X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f767]) ).
fof(f779,plain,
! [X0,X1] :
( ~ sdtlseqdt0(smndt0(X0),X1)
| sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f769,f209]) ).
fof(f784,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) ),
inference(resolution,[],[f779,f181]) ).
fof(f787,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f784]) ).
fof(f790,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f787,f209]) ).
fof(f814,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,[],[f732,f285]) ).
fof(f835,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,[],[f814,f203]) ).
fof(f839,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,[],[f835,f260]) ).
fof(f848,plain,
( ! [X0] :
( ~ sdtlseqdt0(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,[],[f839,f198]) ).
fof(f856,plain,
( ! [X0] :
( ~ sdtlseqdt0(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,[],[f848]) ).
fof(f917,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,[],[f543,f198]) ).
fof(f933,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,[],[f917]) ).
fof(f952,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,[],[f933,f209]) ).
fof(f1196,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,[],[f952,f202]) ).
fof(f1205,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,[],[f1196]) ).
fof(f1239,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,[],[f1205,f202]) ).
fof(f1248,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,[],[f1239]) ).
fof(f1261,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,[],[f1248,f204]) ).
fof(f1482,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,[],[f1261,f181]) ).
fof(f1495,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(superposition,[],[f1261,f198]) ).
fof(f1506,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X1)) ),
inference(duplicate_literal_removal,[],[f1495]) ).
fof(f1517,plain,
! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f1482]) ).
fof(f1523,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,smndt0(smndt0(X1)))
| sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f1506,f209]) ).
fof(f1532,plain,
! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f1517,f203]) ).
fof(f1577,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X0) ),
inference(superposition,[],[f1523,f196]) ).
fof(f1578,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f1577]) ).
fof(f1595,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(smndt0(X0),sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(xR)
| ~ sdtlseqdt0(X0,xS)
| ~ aScalar0(X0) )
| spl2_12 ),
inference(resolution,[],[f1578,f474]) ).
fof(f1615,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(smndt0(X0),sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(X0,xS)
| ~ aScalar0(X0) )
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f1595,f150]) ).
fof(f1617,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(smndt0(X0),sz0z00)
| ~ sdtlseqdt0(X0,xS)
| ~ aScalar0(X0) )
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f1615,f209]) ).
fof(f1619,definition,
( spl2_46
<=> ! [X0] :
( ~ sdtlseqdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
fof(f1620,plain,
( ! [X0] :
( ~ sdtlseqdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,xS) )
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f1622,definition,
( spl2_47
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).
fof(f1624,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| spl2_47 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f1625,plain,
( spl2_46
| ~ spl2_47
| spl2_12 ),
inference(avatar_split_clause,[],[f1617,f355,f1622,f1619]) ).
fof(f1870,definition,
( spl2_54
<=> ! [X0] :
( ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
fof(f1871,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f1870]) ).
fof(f2044,plain,
( smndt0(xP) = sdtasdt0(smndt0(xE),xH)
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[],[f207,f151]) ).
fof(f2084,plain,
( smndt0(xP) = sdtasdt0(smndt0(xE),xH)
| ~ aScalar0(xH) ),
inference(forward_subsumption_resolution,[],[f2044,f142]) ).
fof(f2091,plain,
smndt0(xP) = sdtasdt0(smndt0(xE),xH),
inference(forward_subsumption_resolution,[],[f2084,f148]) ).
fof(f2147,plain,
( smndt0(xP) = sdtasdt0(xH,smndt0(xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(xH)
| ~ spl2_3 ),
inference(superposition,[],[f2091,f223]) ).
fof(f2165,plain,
( smndt0(xP) = sdtasdt0(xH,smndt0(xE))
| ~ aScalar0(smndt0(xE))
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f2147,f148]) ).
fof(f2167,definition,
( spl2_67
<=> aScalar0(smndt0(xE)) ),
introduced(definition,[new_symbols(definition,[spl2_67])],[avatar_definition]) ).
fof(f2168,plain,
( aScalar0(smndt0(xE))
| ~ spl2_67 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f2169,plain,
( ~ aScalar0(smndt0(xE))
| spl2_67 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f2171,definition,
( spl2_68
<=> smndt0(xP) = sdtasdt0(xH,smndt0(xE)) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
fof(f2173,plain,
( smndt0(xP) = sdtasdt0(xH,smndt0(xE))
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f2171]) ).
fof(f2195,plain,
( ~ spl2_67
| spl2_68
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f2165,f222,f2171,f2167]) ).
fof(f2196,plain,
( ~ aScalar0(xE)
| spl2_67 ),
inference(resolution,[],[f2169,f209]) ).
fof(f2197,plain,
( $false
| spl2_67 ),
inference(forward_subsumption_resolution,[],[f2196,f142]) ).
fof(f2198,plain,
spl2_67,
inference(avatar_contradiction_clause,[],[f2197]) ).
fof(f2546,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(X0,xH)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ aScalar0(X0)
| ~ aScalar0(xH)
| ~ aScalar0(smndt0(xE)) )
| ~ spl2_68 ),
inference(superposition,[],[f677,f2173]) ).
fof(f2547,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(X0,xH)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) )
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f2546,f148]) ).
fof(f2554,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(X0,xH)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ aScalar0(X0) )
| ~ spl2_67
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f2547,f2168]) ).
fof(f2562,definition,
( spl2_87
<=> sdtlseqdt0(sz0z00,smndt0(xE)) ),
introduced(definition,[new_symbols(definition,[spl2_87])],[avatar_definition]) ).
fof(f2564,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xE))
| spl2_87 ),
inference(avatar_component_clause,[],[f2562]) ).
fof(f2566,definition,
( spl2_88
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xH)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_88])],[avatar_definition]) ).
fof(f2567,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xH)
| ~ aScalar0(X0) )
| ~ spl2_88 ),
inference(avatar_component_clause,[],[f2566]) ).
fof(f2569,definition,
( spl2_89
<=> sdtlseqdt0(sz0z00,smndt0(xP)) ),
introduced(definition,[new_symbols(definition,[spl2_89])],[avatar_definition]) ).
fof(f2570,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| spl2_89 ),
inference(avatar_component_clause,[],[f2569]) ).
fof(f2571,plain,
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ spl2_89 ),
inference(avatar_component_clause,[],[f2569]) ).
fof(f2572,plain,
( ~ spl2_87
| spl2_88
| spl2_89
| ~ spl2_67
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f2554,f2171,f2167,f2569,f2566,f2562]) ).
fof(f2686,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(X0,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(X0)
| ~ aScalar0(xG)
| ~ aScalar0(xC) )
| ~ spl2_3 ),
inference(superposition,[],[f687,f149]) ).
fof(f2695,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(X0)
| ~ aScalar0(xG)
| ~ aScalar0(xC) )
| ~ spl2_3
| spl2_47 ),
inference(forward_subsumption_resolution,[],[f2686,f1624]) ).
fof(f2700,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(X0)
| ~ aScalar0(xC) )
| ~ spl2_3
| spl2_47 ),
inference(forward_subsumption_resolution,[],[f2695,f146]) ).
fof(f2705,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(X0) )
| ~ spl2_3
| spl2_47 ),
inference(forward_subsumption_resolution,[],[f2700,f138]) ).
fof(f2723,definition,
( spl2_103
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xG)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_103])],[avatar_definition]) ).
fof(f2724,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xG)
| ~ aScalar0(X0) )
| ~ spl2_103 ),
inference(avatar_component_clause,[],[f2723]) ).
fof(f2739,definition,
( spl2_107
<=> sdtlseqdt0(sz0z00,xC) ),
introduced(definition,[new_symbols(definition,[spl2_107])],[avatar_definition]) ).
fof(f2741,plain,
( ~ sdtlseqdt0(sz0z00,xC)
| spl2_107 ),
inference(avatar_component_clause,[],[f2739]) ).
fof(f2742,plain,
( ~ spl2_107
| spl2_103
| ~ spl2_3
| spl2_47 ),
inference(avatar_split_clause,[],[f2705,f1622,f222,f2723,f2739]) ).
fof(f2777,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(smndt0(X0),xS)
| ~ aScalar0(X0) )
| ~ spl2_46 ),
inference(superposition,[],[f1620,f196]) ).
fof(f2801,plain,
( ! [X0] :
( ~ sdtlseqdt0(smndt0(X0),xS)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_46 ),
inference(forward_subsumption_resolution,[],[f2777,f209]) ).
fof(f2817,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00)
| ~ spl2_2
| ~ spl2_46 ),
inference(superposition,[],[f2801,f219]) ).
fof(f3089,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[],[f159,f137]) ).
fof(f3090,plain,
( ~ aVector0(xp)
| spl2_107 ),
inference(forward_subsumption_resolution,[],[f3089,f2741]) ).
fof(f3091,plain,
( $false
| spl2_107 ),
inference(forward_subsumption_resolution,[],[f3090,f130]) ).
fof(f3092,plain,
spl2_107,
inference(avatar_contradiction_clause,[],[f3091]) ).
fof(f3093,plain,
( ~ aScalar0(xG)
| ~ aScalar0(xG)
| ~ spl2_103 ),
inference(resolution,[],[f2724,f181]) ).
fof(f3104,plain,
( ~ aScalar0(xG)
| ~ spl2_103 ),
inference(duplicate_literal_removal,[],[f3093]) ).
fof(f3109,plain,
( $false
| ~ spl2_103 ),
inference(forward_subsumption_resolution,[],[f3104,f146]) ).
fof(f3110,plain,
~ spl2_103,
inference(avatar_contradiction_clause,[],[f3109]) ).
fof(f3331,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0) )
| ~ spl2_7
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f856,f209]) ).
fof(f4168,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[],[f159,f139]) ).
fof(f4169,plain,
( ~ aVector0(xq)
| spl2_16 ),
inference(forward_subsumption_resolution,[],[f4168,f441]) ).
fof(f4170,plain,
( $false
| spl2_16 ),
inference(forward_subsumption_resolution,[],[f4169,f132]) ).
fof(f4171,plain,
spl2_16,
inference(avatar_contradiction_clause,[],[f4170]) ).
fof(f4172,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(X0)
| ~ aScalar0(xF)
| ~ aScalar0(xD) )
| spl2_14 ),
inference(forward_subsumption_resolution,[],[f684,f433]) ).
fof(f4177,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xF)
| ~ aScalar0(X0)
| ~ aScalar0(xF)
| ~ aScalar0(xD) )
| spl2_14
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f4172,f440]) ).
fof(f4182,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xF)
| ~ aScalar0(X0)
| ~ aScalar0(xD) )
| spl2_14
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f4177,f144]) ).
fof(f4186,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xF)
| ~ aScalar0(X0) )
| spl2_14
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f4182,f140]) ).
fof(f4197,plain,
( ~ aScalar0(xF)
| ~ aScalar0(xF)
| spl2_14
| ~ spl2_16 ),
inference(resolution,[],[f4186,f181]) ).
fof(f4208,plain,
( ~ aScalar0(xF)
| spl2_14
| ~ spl2_16 ),
inference(duplicate_literal_removal,[],[f4197]) ).
fof(f4213,plain,
( $false
| spl2_14
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f4208,f144]) ).
fof(f4214,plain,
( spl2_14
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f4213]) ).
fof(f4228,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00)
| ~ spl2_2
| ~ spl2_14
| ~ spl2_46 ),
inference(forward_subsumption_resolution,[],[f2817,f432]) ).
fof(f4265,plain,
( ~ aScalar0(sz0z00)
| ~ spl2_2
| ~ spl2_14
| ~ spl2_46 ),
inference(forward_subsumption_resolution,[],[f4228,f181]) ).
fof(f4298,plain,
( $false
| ~ spl2_2
| ~ spl2_14
| ~ spl2_46 ),
inference(forward_subsumption_resolution,[],[f4265,f204]) ).
fof(f4299,plain,
( ~ spl2_2
| ~ spl2_14
| ~ spl2_46 ),
inference(avatar_contradiction_clause,[],[f4298]) ).
fof(f4396,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0) )
| ~ spl2_7
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f3331,f356]) ).
fof(f4451,plain,
( spl2_54
| ~ spl2_7
| ~ spl2_8
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f4396,f355,f263,f259,f1870]) ).
fof(f5259,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(xP)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ spl2_54 ),
inference(resolution,[],[f1871,f1532]) ).
fof(f5293,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(xP)
| ~ spl2_54 ),
inference(duplicate_literal_removal,[],[f5259]) ).
fof(f6580,plain,
( smndt0(xP) = sdtasdt0(xE,smndt0(xH))
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[],[f208,f151]) ).
fof(f6650,plain,
( smndt0(xP) = sdtasdt0(xE,smndt0(xH))
| ~ aScalar0(xH) ),
inference(forward_subsumption_resolution,[],[f6580,f142]) ).
fof(f6664,plain,
smndt0(xP) = sdtasdt0(xE,smndt0(xH)),
inference(forward_subsumption_resolution,[],[f6650,f148]) ).
fof(f6694,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(X0,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(xE) )
| ~ spl2_3 ),
inference(superposition,[],[f687,f6664]) ).
fof(f6695,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(xE) )
| ~ spl2_3
| spl2_89 ),
inference(forward_subsumption_resolution,[],[f6694,f2570]) ).
fof(f6703,definition,
( spl2_168
<=> aScalar0(smndt0(xH)) ),
introduced(definition,[new_symbols(definition,[spl2_168])],[avatar_definition]) ).
fof(f6704,plain,
( aScalar0(smndt0(xH))
| ~ spl2_168 ),
inference(avatar_component_clause,[],[f6703]) ).
fof(f6705,plain,
( ~ aScalar0(smndt0(xH))
| spl2_168 ),
inference(avatar_component_clause,[],[f6703]) ).
fof(f6711,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH)) )
| ~ spl2_3
| spl2_89 ),
inference(forward_subsumption_resolution,[],[f6695,f142]) ).
fof(f6739,definition,
( spl2_176
<=> sdtlseqdt0(sz0z00,xE) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
fof(f6741,plain,
( ~ sdtlseqdt0(sz0z00,xE)
| spl2_176 ),
inference(avatar_component_clause,[],[f6739]) ).
fof(f6743,definition,
( spl2_177
<=> ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xH))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_177])],[avatar_definition]) ).
fof(f6744,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xH))
| ~ aScalar0(X0) )
| ~ spl2_177 ),
inference(avatar_component_clause,[],[f6743]) ).
fof(f6745,plain,
( ~ spl2_168
| ~ spl2_176
| spl2_177
| ~ spl2_3
| spl2_89 ),
inference(avatar_split_clause,[],[f6711,f2569,f222,f6743,f6739,f6703]) ).
fof(f6750,plain,
( ~ aScalar0(xH)
| spl2_168 ),
inference(resolution,[],[f6705,f209]) ).
fof(f6751,plain,
( $false
| spl2_168 ),
inference(forward_subsumption_resolution,[],[f6750,f148]) ).
fof(f6752,plain,
spl2_168,
inference(avatar_contradiction_clause,[],[f6751]) ).
fof(f7080,plain,
( sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| spl2_176 ),
inference(resolution,[],[f6741,f176]) ).
fof(f7081,plain,
( sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(sz0z00)
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f7080,f142]) ).
fof(f7083,plain,
( sdtlseqdt0(xE,sz0z00)
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f7081,f204]) ).
fof(f8321,plain,
( ~ sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xE)
| spl2_87 ),
inference(resolution,[],[f2564,f790]) ).
fof(f8330,plain,
( ~ aScalar0(xE)
| spl2_87
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f8321,f7083]) ).
fof(f8333,plain,
( $false
| spl2_87
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f8330,f142]) ).
fof(f8334,plain,
( spl2_87
| spl2_176 ),
inference(avatar_contradiction_clause,[],[f8333]) ).
fof(f8336,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| ~ spl2_88 ),
inference(resolution,[],[f2567,f181]) ).
fof(f8352,plain,
( ~ aScalar0(xH)
| ~ spl2_88 ),
inference(duplicate_literal_removal,[],[f8336]) ).
fof(f8359,plain,
( $false
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f8352,f148]) ).
fof(f8360,plain,
~ spl2_88,
inference(avatar_contradiction_clause,[],[f8359]) ).
fof(f8371,plain,
( ~ aScalar0(xP)
| ~ spl2_54
| ~ spl2_89 ),
inference(forward_subsumption_resolution,[],[f5293,f2571]) ).
fof(f8379,plain,
( $false
| ~ spl2_54
| ~ spl2_89 ),
inference(forward_subsumption_resolution,[],[f8371,f152]) ).
fof(f8380,plain,
( ~ spl2_54
| ~ spl2_89 ),
inference(avatar_contradiction_clause,[],[f8379]) ).
fof(f8384,plain,
( ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xH))
| ~ spl2_177 ),
inference(resolution,[],[f6744,f181]) ).
fof(f8401,plain,
( ~ aScalar0(smndt0(xH))
| ~ spl2_177 ),
inference(duplicate_literal_removal,[],[f8384]) ).
fof(f8411,plain,
( $false
| ~ spl2_168
| ~ spl2_177 ),
inference(forward_subsumption_resolution,[],[f8401,f6704]) ).
fof(f8412,plain,
( ~ spl2_168
| ~ spl2_177 ),
inference(avatar_contradiction_clause,[],[f8411]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f220]) ).
cnf(s2,plain,
( spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f224]) ).
cnf(s6,plain,
spl2_7,
inference(sat_conversion,[],[f275]) ).
cnf(s7,plain,
spl2_8,
inference(sat_conversion,[],[f279]) ).
cnf(s22,plain,
~ spl2_1,
inference(sat_conversion,[],[f656]) ).
cnf(s40,plain,
( spl2_12
| spl2_46
| ~ spl2_47 ),
inference(sat_conversion,[],[f1625]) ).
cnf(s71,plain,
( ~ spl2_3
| ~ spl2_67
| spl2_68 ),
inference(sat_conversion,[],[f2195]) ).
cnf(s72,plain,
spl2_67,
inference(sat_conversion,[],[f2198]) ).
cnf(s94,plain,
( ~ spl2_67
| ~ spl2_68
| ~ spl2_87
| spl2_88
| spl2_89 ),
inference(sat_conversion,[],[f2572]) ).
cnf(s107,plain,
( ~ spl2_3
| spl2_47
| spl2_103
| ~ spl2_107 ),
inference(sat_conversion,[],[f2742]) ).
cnf(s115,plain,
spl2_107,
inference(sat_conversion,[],[f3092]) ).
cnf(s116,plain,
~ spl2_103,
inference(sat_conversion,[],[f3110]) ).
cnf(s171,plain,
spl2_16,
inference(sat_conversion,[],[f4171]) ).
cnf(s173,plain,
( spl2_14
| ~ spl2_16 ),
inference(sat_conversion,[],[f4214]) ).
cnf(s180,plain,
( ~ spl2_2
| ~ spl2_14
| ~ spl2_46 ),
inference(sat_conversion,[],[f4299]) ).
cnf(s202,plain,
( ~ spl2_7
| ~ spl2_8
| ~ spl2_12
| spl2_54 ),
inference(sat_conversion,[],[f4451]) ).
cnf(s280,plain,
( ~ spl2_3
| spl2_89
| ~ spl2_168
| ~ spl2_176
| spl2_177 ),
inference(sat_conversion,[],[f6745]) ).
cnf(s282,plain,
spl2_168,
inference(sat_conversion,[],[f6752]) ).
cnf(s320,plain,
( spl2_87
| spl2_176 ),
inference(sat_conversion,[],[f8334]) ).
cnf(s322,plain,
~ spl2_88,
inference(sat_conversion,[],[f8360]) ).
cnf(s324,plain,
( ~ spl2_54
| ~ spl2_89 ),
inference(sat_conversion,[],[f8380]) ).
cnf(s327,plain,
( ~ spl2_168
| ~ spl2_177 ),
inference(sat_conversion,[],[f8412]) ).
cnf(s339,plain,
~ spl2_177,
inference(rat,[],[s327,s282]) ).
cnf(s341,plain,
( ~ spl2_3
| spl2_89
| ~ spl2_176 ),
inference(rat,[],[s280,s339,s282]) ).
cnf(s353,plain,
spl2_14,
inference(rat,[],[s173,s171]) ).
cnf(s356,plain,
( ~ spl2_3
| spl2_47 ),
inference(rat,[],[s107,s115,s116]) ).
cnf(s360,plain,
( ~ spl2_67
| ~ spl2_68
| ~ spl2_87
| spl2_89 ),
inference(rat,[],[s94,s322]) ).
cnf(s372,plain,
( ~ spl2_3
| spl2_68 ),
inference(rat,[],[s71,s72]) ).
cnf(s420,plain,
spl2_3,
inference(rat,[],[s2,s22]) ).
cnf(s422,plain,
spl2_47,
inference(rat,[],[s356,s420]) ).
cnf(s424,plain,
spl2_68,
inference(rat,[],[s372,s420]) ).
cnf(s454,plain,
spl2_2,
inference(rat,[],[s1,s22]) ).
cnf(s458,plain,
~ spl2_46,
inference(rat,[],[s180,s353,s454]) ).
cnf(s462,plain,
spl2_12,
inference(rat,[],[s40,s422,s458]) ).
cnf(s466,plain,
spl2_54,
inference(rat,[],[s202,s6,s7,s462]) ).
cnf(s468,plain,
~ spl2_89,
inference(rat,[],[s324,s466]) ).
cnf(s472,plain,
~ spl2_176,
inference(rat,[],[s341,s420,s468]) ).
cnf(s474,plain,
~ spl2_87,
inference(rat,[],[s360,s424,s72,s468]) ).
cnf(s475,plain,
$false,
inference(rat,[],[s320,s472,s474]) ).
fof(f8421,plain,
$false,
inference(avatar_sat_refutation,[],[s475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG053+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n014.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 23:02:31 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 17.49/3.38 % (1275143)Detected formulas, will run a generic FOF schedule.
% 17.49/3.38 % (1275253)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1352169703:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.49/3.38 % (1275249)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=4017699049:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.49/3.38 % (1275252)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1638161361:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.49/3.38 % (1275251)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=1046556398:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.49/3.38 % (1275250)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=210465968:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.49/3.38 % (1275253)Instruction limit reached!
% 17.49/3.38 % (1275253)------------------------------
% 17.49/3.38 % (1275253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275253)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275253)Termination reason: Instruction limit
% 17.49/3.38 % (1275253)Termination phase: Saturation
% 17.49/3.38 % (1275253)Time elapsed: 0.033 s
% 17.49/3.38 % (1275253)Peak memory usage: 88 MB
% 17.49/3.38 % (1275253)Instructions burned: 122 (million)
% 17.49/3.38 % (1275255)dis-21_1_sil=8000:lcm=predicate:random_seed=2580661968: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)
% 17.49/3.38 % (1275252)Instruction limit reached!
% 17.49/3.38 % (1275252)------------------------------
% 17.49/3.38 % (1275252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275252)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275252)Termination reason: Instruction limit
% 17.49/3.38 % (1275252)Termination phase: Saturation
% 17.49/3.38 % (1275252)Time elapsed: 0.058 s
% 17.49/3.38 % (1275252)Peak memory usage: 89 MB
% 17.49/3.38 % (1275252)Instructions burned: 110 (million)
% 17.49/3.38 % (1275255)Instruction limit reached!
% 17.49/3.38 % (1275255)------------------------------
% 17.49/3.38 % (1275255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275255)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275255)Termination reason: Instruction limit
% 17.49/3.38 % (1275255)Termination phase: Saturation
% 17.49/3.38 % (1275255)Time elapsed: 0.067 s
% 17.49/3.38 % (1275255)Peak memory usage: 89 MB
% 17.49/3.38 % (1275255)Instructions burned: 131 (million)
% 17.49/3.38 % (1275254)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1251413617:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.49/3.38 % (1275274)lrs+10_1_sil=8000:sp=occurrence:random_seed=3541275048:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 17.49/3.38 % (1275276)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2007510830:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 17.49/3.38 % (1275274)Instruction limit reached!
% 17.49/3.38 % (1275274)------------------------------
% 17.49/3.38 % (1275274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275274)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275274)Termination reason: Instruction limit
% 17.49/3.38 % (1275274)Termination phase: Saturation
% 17.49/3.38 % (1275274)Time elapsed: 0.093 s
% 17.49/3.38 % (1275274)Peak memory usage: 93 MB
% 17.49/3.38 % (1275274)Instructions burned: 286 (million)
% 17.49/3.38 % (1275254)Instruction limit reached!
% 17.49/3.38 % (1275254)------------------------------
% 17.49/3.38 % (1275254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275254)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275254)Termination reason: Instruction limit
% 17.49/3.38 % (1275254)Termination phase: Saturation
% 17.49/3.38 % (1275254)Time elapsed: 0.145 s
% 17.49/3.38 % (1275254)Peak memory usage: 90 MB
% 17.49/3.38 % (1275254)Instructions burned: 139 (million)
% 17.49/3.38 % (1275277)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3572267185:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 17.49/3.38 % (1275276)Instruction limit reached!
% 17.49/3.38 % (1275276)------------------------------
% 17.49/3.38 % (1275276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275276)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275276)Termination reason: Instruction limit
% 17.49/3.38 % (1275276)Termination phase: Saturation
% 17.49/3.38 % (1275276)Time elapsed: 0.073 s
% 17.49/3.38 % (1275276)Peak memory usage: 91 MB
% 17.49/3.38 % (1275276)Instructions burned: 159 (million)
% 17.49/3.38 % (1275281)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=46597743:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 17.49/3.38 % (1275281)Instruction limit reached!
% 17.49/3.38 % (1275281)------------------------------
% 17.49/3.38 % (1275281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275281)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275281)Termination reason: Instruction limit
% 17.49/3.38 % (1275281)Termination phase: Saturation
% 17.49/3.38 % (1275281)Time elapsed: 0.060 s
% 17.49/3.38 % (1275281)Peak memory usage: 94 MB
% 17.49/3.38 % (1275281)Instructions burned: 250 (million)
% 17.49/3.38 % (1275282)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=609332447:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 17.49/3.38 % (1275284)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=459700139:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 17.49/3.38 % (1275277)Instruction limit reached!
% 17.49/3.38 % (1275277)------------------------------
% 17.49/3.38 % (1275277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275277)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275277)Termination reason: Instruction limit
% 17.49/3.38 % (1275277)Termination phase: Saturation
% 17.49/3.38 % (1275277)Time elapsed: 0.192 s
% 17.49/3.38 % (1275277)Peak memory usage: 94 MB
% 17.49/3.38 % (1275277)Instructions burned: 329 (million)
% 17.49/3.38 % (1275286)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3594112092:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 17.49/3.38 % (1275286)Instruction limit reached!
% 17.49/3.38 % (1275286)------------------------------
% 17.49/3.38 % (1275286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275286)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275286)Termination reason: Instruction limit
% 17.49/3.38 % (1275286)Termination phase: Saturation
% 17.49/3.38 % (1275286)Time elapsed: 0.040 s
% 17.49/3.38 % (1275286)Peak memory usage: 91 MB
% 17.49/3.38 % (1275286)Instructions burned: 114 (million)
% 17.49/3.38 % (1275282)Instruction limit reached!
% 17.49/3.38 % (1275282)------------------------------
% 17.49/3.38 % (1275282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275282)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275282)Termination reason: Instruction limit
% 17.49/3.38 % (1275282)Termination phase: Saturation
% 17.49/3.38 % (1275282)Time elapsed: 0.174 s
% 17.49/3.38 % (1275282)Peak memory usage: 90 MB
% 17.49/3.38 % (1275282)Instructions burned: 294 (million)
% 17.49/3.38 % (1275289)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3683022161:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 17.49/3.38 % (1275289)Instruction limit reached!
% 17.49/3.38 % (1275289)------------------------------
% 17.49/3.38 % (1275289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275289)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275289)Termination reason: Instruction limit
% 17.49/3.38 % (1275289)Termination phase: Saturation
% 17.49/3.38 % (1275289)Time elapsed: 0.102 s
% 17.49/3.38 % (1275289)Peak memory usage: 89 MB
% 17.49/3.38 % (1275289)Instructions burned: 127 (million)
% 17.49/3.38 % (1275291)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3587403063:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 17.49/3.38 % (1275291)Instruction limit reached!
% 17.49/3.38 % (1275291)------------------------------
% 17.49/3.38 % (1275291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275291)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275291)Termination reason: Instruction limit
% 17.49/3.38 % (1275291)Termination phase: Saturation
% 17.49/3.38 % (1275291)Time elapsed: 0.057 s
% 17.49/3.38 % (1275291)Peak memory usage: 89 MB
% 17.49/3.38 % (1275291)Instructions burned: 115 (million)
% 17.49/3.38 % (1275300)lrs+10_1_sil=8000:sp=occurrence:random_seed=3698077827:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 17.49/3.38 % (1275304)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2146781424:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 17.49/3.38 % (1275311)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2151130385:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 17.49/3.38 % (1275304)Instruction limit reached!
% 17.49/3.38 % (1275304)------------------------------
% 17.49/3.38 % (1275304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275304)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275304)Termination reason: Instruction limit
% 17.49/3.38 % (1275304)Termination phase: Saturation
% 17.49/3.38 % (1275304)Time elapsed: 0.405 s
% 17.49/3.38 % (1275304)Peak memory usage: 95 MB
% 17.49/3.38 % (1275304)Instructions burned: 441 (million)
% 17.49/3.38 % (1275300)Instruction limit reached!
% 17.49/3.38 % (1275300)------------------------------
% 17.49/3.38 % (1275300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275300)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275300)Termination reason: Instruction limit
% 17.49/3.38 % (1275300)Termination phase: Saturation
% 17.49/3.38 % (1275300)Time elapsed: 0.834 s
% 17.49/3.38 % (1275300)Peak memory usage: 102 MB
% 17.49/3.38 % (1275300)Instructions burned: 907 (million)
% 17.49/3.38 % (1275327)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3841156747:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 17.49/3.38 % (1275327)Instruction limit reached!
% 17.49/3.38 % (1275327)------------------------------
% 17.49/3.38 % (1275327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.38 % (1275327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.38 % (1275327)CaDiCaL version: 2.1.3
% 17.49/3.38 % (1275327)Termination reason: Instruction limit
% 17.49/3.38 % (1275327)Termination phase: Saturation
% 17.49/3.38 % (1275327)Time elapsed: 0.108 s
% 17.49/3.38 % (1275327)Peak memory usage: 91 MB
% 17.49/3.38 % (1275327)Instructions burned: 134 (million)
% 17.49/3.38 % (1275333)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=760573029:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 17.49/3.38 % (1275311)First to succeed.
% 17.49/3.38 % (1275338)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1540512235:st=3:i=13193:sd=3:ss=axioms_2979 on theBenchmark for (2979ds/13193Mi)
% 17.49/3.38 % (1275311)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1275143"
% 17.49/3.38 % (1275311)Refutation found. Thanks to Tanya!
% 17.49/3.38 % SZS status Theorem for theBenchmark
% 17.49/3.38 % SZS output start Proof for theBenchmark
% See solution above
% 18.19/3.58 % (1275311)------------------------------
% 18.19/3.58 % (1275311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.19/3.58 % (1275311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.19/3.58 % (1275311)CaDiCaL version: 2.1.3
% 18.19/3.58 % (1275311)Termination reason: Refutation
% 18.19/3.58 % (1275311)Time elapsed: 1.022 s
% 18.19/3.58 % (1275311)Peak memory usage: 138 MB
% 18.19/3.58 % (1275311)Instructions burned: 1866 (million)
% 18.19/3.58 % (1275311)------------------------------
% 18.19/3.58 % (1275311)------------------------------
% 18.19/3.58 % (1275143)Success in time 2.507 s
% 18.19/3.58 % Vampire exiting
%------------------------------------------------------------------------------