%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG054+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 : n002.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 14.22s 3.02s
% Output : Refutation 15.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 45
% Syntax : Number of formulae : 334 ( 51 unt; 24 def)
% Number of atoms : 1143 ( 75 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1547 ( 738 ~; 719 |; 52 &)
% ( 24 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 25 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 17 con; 0-2 aty)
% Number of variables : 247 ( 0 sgn 247 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMDNeg) ).
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(f44,axiom,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
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(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f57,conjecture,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f58,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f59,plain,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(flattening,[],[f58]) ).
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(f99,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f100,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f101,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f100]) ).
fof(f107,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(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(ennf_transformation,[],[f14]) ).
fof(f113,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,[],[f112]) ).
fof(f116,plain,
! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f117,plain,
! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f116]) ).
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(f140,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f142,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f148,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f153,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f154,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
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(f160,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f161,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f162,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f164,plain,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f59]) ).
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(f187,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f188,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f196,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f197,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f199,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f200,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f202,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f203,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f207,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f212,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f117]) ).
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
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f221,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f223,definition,
( spl2_2
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f224,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f225,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f207,f223,f220]) ).
fof(f243,definition,
( spl2_5
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f244,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| spl2_5 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f265,definition,
( spl2_7
<=> aScalar0(sdtasdt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f266,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f273,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_7 ),
inference(resolution,[],[f267,f188]) ).
fof(f274,plain,
( ~ aScalar0(xP)
| spl2_7 ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f275,plain,
( $false
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f274,f158]) ).
fof(f276,plain,
spl2_7,
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f285,definition,
( spl2_9
<=> sdtlseqdt0(sz0z00,xH) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f286,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f287,plain,
( ~ sdtlseqdt0(sz0z00,xH)
| spl2_9 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f292,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(X0)
| ~ aScalar0(xN) ),
inference(resolution,[],[f185,f164]) ).
fof(f293,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,xN)
| ~ aScalar0(X0)
| ~ aScalar0(xN) )
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f292,f266]) ).
fof(f294,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,xN)
| ~ aScalar0(X0) )
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f293,f162]) ).
fof(f308,definition,
( spl2_11
<=> sdtlseqdt0(sz0z00,xP) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f309,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| spl2_11 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f324,plain,
( sdtasdt0(xE,smndt0(xH)) = smndt0(xP)
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[],[f214,f157]) ).
fof(f325,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(superposition,[],[f196,f214]) ).
fof(f328,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f325,f188]) ).
fof(f329,plain,
( sdtasdt0(xE,smndt0(xH)) = smndt0(xP)
| ~ aScalar0(xH) ),
inference(forward_subsumption_resolution,[],[f324,f148]) ).
fof(f331,plain,
sdtasdt0(xE,smndt0(xH)) = smndt0(xP),
inference(forward_subsumption_resolution,[],[f329,f154]) ).
fof(f376,plain,
( smndt0(xP) = sdtasdt0(smndt0(xE),xH)
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[],[f213,f157]) ).
fof(f388,plain,
( smndt0(xP) = sdtasdt0(smndt0(xE),xH)
| ~ aScalar0(xH) ),
inference(forward_subsumption_resolution,[],[f376,f148]) ).
fof(f391,plain,
smndt0(xP) = sdtasdt0(smndt0(xE),xH),
inference(forward_subsumption_resolution,[],[f388,f154]) ).
fof(f392,plain,
( smndt0(xP) = sdtasdt0(xH,smndt0(xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(xH)
| ~ spl2_2 ),
inference(superposition,[],[f391,f224]) ).
fof(f396,plain,
( aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(xH) ),
inference(superposition,[],[f188,f391]) ).
fof(f407,plain,
( aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xE)) ),
inference(forward_subsumption_resolution,[],[f396,f154]) ).
fof(f410,plain,
( smndt0(xP) = sdtasdt0(xH,smndt0(xE))
| ~ aScalar0(smndt0(xE))
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f392,f154]) ).
fof(f412,definition,
( spl2_13
<=> aScalar0(smndt0(xE)) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f413,plain,
( aScalar0(smndt0(xE))
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f414,plain,
( ~ aScalar0(smndt0(xE))
| spl2_13 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f416,definition,
( spl2_14
<=> smndt0(xP) = sdtasdt0(xH,smndt0(xE)) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f418,plain,
( smndt0(xP) = sdtasdt0(xH,smndt0(xE))
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f436,definition,
( spl2_18
<=> aScalar0(smndt0(xP)) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f438,plain,
( aScalar0(smndt0(xP))
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,plain,
( ~ spl2_13
| spl2_18 ),
inference(avatar_split_clause,[],[f407,f436,f412]) ).
fof(f445,plain,
( ~ spl2_13
| spl2_14
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f410,f223,f416,f412]) ).
fof(f474,definition,
( spl2_20
<=> aScalar0(smndt0(xR)) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
fof(f475,plain,
( aScalar0(smndt0(xR))
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f476,plain,
( ~ aScalar0(smndt0(xR))
| spl2_20 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f631,plain,
( ~ aScalar0(xE)
| spl2_13 ),
inference(resolution,[],[f215,f414]) ).
fof(f632,plain,
( ~ aScalar0(xR)
| spl2_20 ),
inference(resolution,[],[f215,f476]) ).
fof(f638,plain,
( $false
| spl2_20 ),
inference(forward_subsumption_resolution,[],[f632,f156]) ).
fof(f639,plain,
spl2_20,
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f640,plain,
( $false
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f631,f148]) ).
fof(f641,plain,
spl2_13,
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f653,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,f200]) ).
fof(f676,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,[],[f653]) ).
fof(f687,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,[],[f676,f187]) ).
fof(f693,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,[],[f687,f203]) ).
fof(f696,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_2 ),
inference(superposition,[],[f693,f224]) ).
fof(f701,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,smndt0(X0))
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(superposition,[],[f693,f212]) ).
fof(f702,plain,
! [X0] :
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(X0,xE)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(X0)
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[],[f693,f157]) ).
fof(f704,plain,
! [X0] :
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(X0,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(X0)
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(superposition,[],[f693,f161]) ).
fof(f707,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_2 ),
inference(duplicate_literal_removal,[],[f696]) ).
fof(f710,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,smndt0(X0))
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f701,f215]) ).
fof(f713,definition,
( spl2_27
<=> ! [X1] :
( ~ sdtlseqdt0(X1,xE)
| ~ aScalar0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
fof(f714,plain,
( ! [X1] :
( ~ sdtlseqdt0(X1,xE)
| ~ aScalar0(X1) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f719,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,smndt0(X0))
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f710,f215]) ).
fof(f722,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| ~ spl2_27 ),
inference(resolution,[],[f714,f187]) ).
fof(f723,plain,
( ~ aScalar0(xE)
| ~ spl2_27 ),
inference(duplicate_literal_removal,[],[f722]) ).
fof(f726,plain,
( $false
| ~ spl2_27 ),
inference(forward_subsumption_resolution,[],[f723,f148]) ).
fof(f727,plain,
~ spl2_27,
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f771,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,smndt0(X1))
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_2 ),
inference(superposition,[],[f707,f212]) ).
fof(f782,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,smndt0(X1))
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f771,f215]) ).
fof(f796,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,smndt0(X1))
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f782,f215]) ).
fof(f807,definition,
( spl2_35
<=> sdtlseqdt0(sz0z00,xN) ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
fof(f808,plain,
( ~ sdtlseqdt0(sz0z00,xN)
| spl2_35 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f809,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f829,definition,
( spl2_40
<=> sdtlseqdt0(sz0z00,smndt0(xP)) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
fof(f830,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| spl2_40 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f831,plain,
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f857,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,smndt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X2) ),
inference(superposition,[],[f184,f197]) ).
fof(f858,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(smndt0(X0),X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X0) ),
inference(superposition,[],[f184,f197]) ).
fof(f863,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(smndt0(X0),X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ),
inference(duplicate_literal_removal,[],[f858]) ).
fof(f864,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,smndt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(duplicate_literal_removal,[],[f857]) ).
fof(f868,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(smndt0(X0),X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f863,f215]) ).
fof(f869,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,smndt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f864,f215]) ).
fof(f1020,plain,
! [X0] :
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(X0,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ aScalar0(X0)
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(superposition,[],[f719,f161]) ).
fof(f1025,plain,
! [X0] :
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(X0,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ aScalar0(X0)
| ~ aScalar0(xS) ),
inference(forward_subsumption_resolution,[],[f1020,f156]) ).
fof(f1032,plain,
! [X0] :
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(X0,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f1025,f160]) ).
fof(f1034,definition,
( spl2_43
<=> ! [X1] :
( ~ sdtlseqdt0(X1,smndt0(xE))
| ~ aScalar0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl2_43])],[avatar_definition]) ).
fof(f1035,plain,
( ! [X1] :
( ~ sdtlseqdt0(X1,smndt0(xE))
| ~ aScalar0(X1) )
| ~ spl2_43 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1045,definition,
( spl2_45
<=> sdtlseqdt0(sz0z00,smndt0(xS)) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
fof(f1047,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xS))
| spl2_45 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1049,definition,
( spl2_46
<=> ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xR))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
fof(f1050,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xR))
| ~ aScalar0(X0) )
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1051,plain,
( ~ spl2_45
| spl2_46
| spl2_35 ),
inference(avatar_split_clause,[],[f1032,f807,f1049,f1045]) ).
fof(f1068,plain,
( ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xE))
| ~ spl2_43 ),
inference(resolution,[],[f1035,f187]) ).
fof(f1069,plain,
( ~ aScalar0(smndt0(xE))
| ~ spl2_43 ),
inference(duplicate_literal_removal,[],[f1068]) ).
fof(f1072,plain,
( $false
| ~ spl2_13
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f1069,f413]) ).
fof(f1073,plain,
( ~ spl2_13
| ~ spl2_43 ),
inference(avatar_contradiction_clause,[],[f1072]) ).
fof(f1106,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(smndt0(X1),X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[],[f868,f202]) ).
fof(f1107,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[],[f869,f202]) ).
fof(f1109,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f1107]) ).
fof(f1110,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(smndt0(X1),X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00) ),
inference(duplicate_literal_removal,[],[f1106]) ).
fof(f1118,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,smndt0(X1))
| sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f1109,f203]) ).
fof(f1119,plain,
! [X0,X1] :
( ~ sdtlseqdt0(smndt0(X1),X0)
| sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f1110,f203]) ).
fof(f1124,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) ),
inference(resolution,[],[f1119,f187]) ).
fof(f1129,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f1124]) ).
fof(f1135,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f1129,f215]) ).
fof(f1463,plain,
( sdtlseqdt0(xS,sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| spl2_5 ),
inference(resolution,[],[f245,f182]) ).
fof(f1464,plain,
( sdtlseqdt0(xS,sz0z00)
| ~ aScalar0(sz0z00)
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f1463,f160]) ).
fof(f1466,plain,
( sdtlseqdt0(xS,sz0z00)
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f1464,f203]) ).
fof(f1674,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X2) ),
inference(superposition,[],[f183,f199]) ).
fof(f1706,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(duplicate_literal_removal,[],[f1674]) ).
fof(f1720,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f1706,f203]) ).
fof(f1725,plain,
( ! [X0] :
( ~ sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(sz0z00) )
| ~ spl2_7 ),
inference(resolution,[],[f1720,f294]) ).
fof(f1745,plain,
( ! [X0] :
( ~ sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(xP)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(sz0z00) )
| ~ spl2_7 ),
inference(duplicate_literal_removal,[],[f1725]) ).
fof(f1755,plain,
! [X0] :
( sdtlseqdt0(smndt0(X0),sz0z00)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) ),
inference(resolution,[],[f1118,f187]) ).
fof(f1765,plain,
! [X0] :
( sdtlseqdt0(smndt0(X0),sz0z00)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f1755]) ).
fof(f1773,plain,
! [X0] :
( sdtlseqdt0(smndt0(X0),sz0z00)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f1765,f215]) ).
fof(f2085,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f221,f203]) ).
fof(f2119,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2221,plain,
( ~ sdtlseqdt0(xS,sz0z00)
| ~ aScalar0(xS)
| spl2_45 ),
inference(resolution,[],[f1047,f1135]) ).
fof(f2226,plain,
( ~ aScalar0(xS)
| spl2_5
| spl2_45 ),
inference(forward_subsumption_resolution,[],[f2221,f1466]) ).
fof(f2229,plain,
( $false
| spl2_5
| spl2_45 ),
inference(forward_subsumption_resolution,[],[f2226,f160]) ).
fof(f2230,plain,
( spl2_5
| spl2_45 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
fof(f2253,plain,
( ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xR))
| ~ spl2_46 ),
inference(resolution,[],[f1050,f187]) ).
fof(f2256,plain,
( ~ aScalar0(smndt0(xR))
| ~ spl2_46 ),
inference(duplicate_literal_removal,[],[f2253]) ).
fof(f2260,plain,
( $false
| ~ spl2_20
| ~ spl2_46 ),
inference(forward_subsumption_resolution,[],[f2256,f475]) ).
fof(f2261,plain,
( ~ spl2_20
| ~ spl2_46 ),
inference(avatar_contradiction_clause,[],[f2260]) ).
fof(f2486,plain,
( sdtasdt0(xE,xH) = smndt0(smndt0(xP))
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[],[f328,f331]) ).
fof(f2513,plain,
( sdtasdt0(xE,xH) = smndt0(smndt0(xP))
| ~ aScalar0(xH) ),
inference(forward_subsumption_resolution,[],[f2486,f148]) ).
fof(f2552,plain,
sdtasdt0(xE,xH) = smndt0(smndt0(xP)),
inference(forward_subsumption_resolution,[],[f2513,f154]) ).
fof(f2553,plain,
xP = smndt0(smndt0(xP)),
inference(forward_demodulation,[],[f2552,f157]) ).
fof(f2570,plain,
( sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(smndt0(xP)) ),
inference(superposition,[],[f1773,f2553]) ).
fof(f2603,plain,
( ! [X0] :
( ~ sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(xP)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(sz0z00) )
| ~ spl2_7
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f1745,f309]) ).
fof(f2614,plain,
( ! [X0] :
( ~ sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(sz0z00) )
| ~ spl2_7
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f2603,f158]) ).
fof(f2626,definition,
( spl2_110
<=> sdtlseqdt0(xP,sz0z00) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
fof(f2628,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| spl2_110 ),
inference(avatar_component_clause,[],[f2626]) ).
fof(f2631,plain,
( ! [X0] :
( ~ sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00) )
| ~ spl2_7
| ~ spl2_11
| ~ spl2_35 ),
inference(forward_subsumption_resolution,[],[f2614,f809]) ).
fof(f2633,definition,
( spl2_111
<=> ! [X0] :
( ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_111])],[avatar_definition]) ).
fof(f2634,plain,
( ! [X0] :
( ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(X0) )
| ~ spl2_111 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2643,plain,
( ! [X0] :
( ~ sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(X0) )
| ~ spl2_7
| ~ spl2_11
| ~ spl2_35 ),
inference(forward_subsumption_resolution,[],[f2631,f203]) ).
fof(f2647,plain,
( spl2_111
| ~ spl2_110
| ~ spl2_7
| ~ spl2_11
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f2643,f807,f308,f265,f2626,f2633]) ).
fof(f2745,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(X0,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(xH) )
| ~ spl2_2
| ~ spl2_14 ),
inference(superposition,[],[f707,f418]) ).
fof(f3435,plain,
! [X0] :
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(X0,xA)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(X0)
| ~ aScalar0(xA)
| ~ aScalar0(xB) ),
inference(superposition,[],[f693,f153]) ).
fof(f3436,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(X0,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(X0)
| ~ aScalar0(xB)
| ~ aScalar0(xA) )
| ~ spl2_2 ),
inference(superposition,[],[f707,f153]) ).
fof(f3439,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(X0,smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ aScalar0(X0)
| ~ aScalar0(xA)
| ~ aScalar0(xB) )
| ~ spl2_2 ),
inference(superposition,[],[f796,f153]) ).
fof(f3444,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ aScalar0(X0)
| ~ aScalar0(xA)
| ~ aScalar0(xB) )
| ~ spl2_2
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f3439,f287]) ).
fof(f3446,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(X0)
| ~ aScalar0(xB)
| ~ aScalar0(xA) )
| ~ spl2_2
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f3436,f287]) ).
fof(f3447,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xA)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(X0)
| ~ aScalar0(xA)
| ~ aScalar0(xB) )
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f3435,f287]) ).
fof(f3459,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ aScalar0(X0)
| ~ aScalar0(xB) )
| ~ spl2_2
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f3444,f140]) ).
fof(f3461,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(X0)
| ~ aScalar0(xA) )
| ~ spl2_2
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f3446,f142]) ).
fof(f3462,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xA)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(X0)
| ~ aScalar0(xB) )
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f3447,f140]) ).
fof(f3473,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ aScalar0(X0) )
| ~ spl2_2
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f3459,f142]) ).
fof(f3475,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(X0) )
| ~ spl2_2
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f3461,f140]) ).
fof(f3476,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xA)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(X0) )
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f3462,f142]) ).
fof(f3478,definition,
( spl2_122
<=> sdtlseqdt0(sz0z00,xB) ),
introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).
fof(f3480,plain,
( ~ sdtlseqdt0(sz0z00,xB)
| spl2_122 ),
inference(avatar_component_clause,[],[f3478]) ).
fof(f3487,definition,
( spl2_124
<=> sdtlseqdt0(sz0z00,smndt0(xA)) ),
introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).
fof(f3489,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xA))
| spl2_124 ),
inference(avatar_component_clause,[],[f3487]) ).
fof(f3491,definition,
( spl2_125
<=> ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xB))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_125])],[avatar_definition]) ).
fof(f3492,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xB))
| ~ aScalar0(X0) )
| ~ spl2_125 ),
inference(avatar_component_clause,[],[f3491]) ).
fof(f3503,definition,
( spl2_128
<=> sdtlseqdt0(sz0z00,xA) ),
introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).
fof(f3505,plain,
( ~ sdtlseqdt0(sz0z00,xA)
| spl2_128 ),
inference(avatar_component_clause,[],[f3503]) ).
fof(f3507,definition,
( spl2_129
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xB)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_129])],[avatar_definition]) ).
fof(f3508,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xB)
| ~ aScalar0(X0) )
| ~ spl2_129 ),
inference(avatar_component_clause,[],[f3507]) ).
fof(f3511,definition,
( spl2_130
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xA)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_130])],[avatar_definition]) ).
fof(f3512,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xA)
| ~ aScalar0(X0) )
| ~ spl2_130 ),
inference(avatar_component_clause,[],[f3511]) ).
fof(f3513,plain,
( ~ spl2_122
| spl2_130
| spl2_9 ),
inference(avatar_split_clause,[],[f3476,f285,f3511,f3478]) ).
fof(f3518,plain,
( sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| spl2_128 ),
inference(resolution,[],[f3505,f182]) ).
fof(f3519,plain,
( sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(sz0z00)
| spl2_128 ),
inference(forward_subsumption_resolution,[],[f3518,f140]) ).
fof(f3523,plain,
( sdtlseqdt0(xA,sz0z00)
| spl2_128 ),
inference(forward_subsumption_resolution,[],[f3519,f203]) ).
fof(f3529,plain,
( sdtlseqdt0(xB,sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| spl2_122 ),
inference(resolution,[],[f3480,f182]) ).
fof(f3530,plain,
( sdtlseqdt0(xB,sz0z00)
| ~ aScalar0(sz0z00)
| spl2_122 ),
inference(forward_subsumption_resolution,[],[f3529,f142]) ).
fof(f3534,plain,
( sdtlseqdt0(xB,sz0z00)
| spl2_122 ),
inference(forward_subsumption_resolution,[],[f3530,f203]) ).
fof(f3537,plain,
( ~ sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xA)
| spl2_124 ),
inference(resolution,[],[f3489,f1135]) ).
fof(f3554,plain,
( ~ aScalar0(xA)
| spl2_124
| spl2_128 ),
inference(forward_subsumption_resolution,[],[f3537,f3523]) ).
fof(f3564,plain,
( $false
| spl2_124
| spl2_128 ),
inference(forward_subsumption_resolution,[],[f3554,f140]) ).
fof(f3565,plain,
( spl2_124
| spl2_128 ),
inference(avatar_contradiction_clause,[],[f3564]) ).
fof(f3569,plain,
( ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xB,sz0z00)
| ~ aScalar0(xB)
| ~ spl2_125 ),
inference(resolution,[],[f3492,f1135]) ).
fof(f3578,plain,
( ~ sdtlseqdt0(xB,sz0z00)
| ~ aScalar0(xB)
| ~ spl2_125 ),
inference(forward_subsumption_resolution,[],[f3569,f203]) ).
fof(f3579,plain,
( ~ aScalar0(xB)
| spl2_122
| ~ spl2_125 ),
inference(forward_subsumption_resolution,[],[f3578,f3534]) ).
fof(f3580,plain,
( $false
| spl2_122
| ~ spl2_125 ),
inference(forward_subsumption_resolution,[],[f3579,f142]) ).
fof(f3581,plain,
( spl2_122
| ~ spl2_125 ),
inference(avatar_contradiction_clause,[],[f3580]) ).
fof(f3586,plain,
( ~ aScalar0(xB)
| ~ aScalar0(xB)
| ~ spl2_129 ),
inference(resolution,[],[f3508,f187]) ).
fof(f3590,plain,
( ~ aScalar0(xB)
| ~ spl2_129 ),
inference(duplicate_literal_removal,[],[f3586]) ).
fof(f3594,plain,
( $false
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f3590,f142]) ).
fof(f3595,plain,
~ spl2_129,
inference(avatar_contradiction_clause,[],[f3594]) ).
fof(f3603,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(xH) )
| ~ spl2_2
| ~ spl2_14
| spl2_40 ),
inference(forward_subsumption_resolution,[],[f2745,f830]) ).
fof(f3612,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xE))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(xH) )
| ~ spl2_2
| ~ spl2_9
| ~ spl2_14
| spl2_40 ),
inference(forward_subsumption_resolution,[],[f3603,f286]) ).
fof(f3621,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xE))
| ~ aScalar0(X0)
| ~ aScalar0(xH) )
| ~ spl2_2
| ~ spl2_9
| ~ spl2_13
| ~ spl2_14
| spl2_40 ),
inference(forward_subsumption_resolution,[],[f3612,f413]) ).
fof(f3629,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xE))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_9
| ~ spl2_13
| ~ spl2_14
| spl2_40 ),
inference(forward_subsumption_resolution,[],[f3621,f154]) ).
fof(f3648,plain,
( spl2_43
| ~ spl2_2
| ~ spl2_9
| ~ spl2_13
| ~ spl2_14
| spl2_40 ),
inference(avatar_split_clause,[],[f3629,f829,f416,f412,f285,f223,f1034]) ).
fof(f3657,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(smndt0(xP))
| spl2_110 ),
inference(forward_subsumption_resolution,[],[f2570,f2628]) ).
fof(f3661,plain,
( ~ aScalar0(smndt0(xP))
| ~ spl2_40
| spl2_110 ),
inference(forward_subsumption_resolution,[],[f3657,f831]) ).
fof(f3665,plain,
( $false
| ~ spl2_18
| ~ spl2_40
| spl2_110 ),
inference(forward_subsumption_resolution,[],[f3661,f438]) ).
fof(f3666,plain,
( ~ spl2_18
| ~ spl2_40
| spl2_110 ),
inference(avatar_contradiction_clause,[],[f3665]) ).
fof(f3684,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xE)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(X0)
| ~ aScalar0(xE)
| ~ aScalar0(xH) )
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f702,f310]) ).
fof(f3689,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xE)
| ~ aScalar0(X0)
| ~ aScalar0(xE)
| ~ aScalar0(xH) )
| ~ spl2_9
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f3684,f286]) ).
fof(f3693,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xE)
| ~ aScalar0(X0)
| ~ aScalar0(xH) )
| ~ spl2_9
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f3689,f148]) ).
fof(f3697,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xE)
| ~ aScalar0(X0) )
| ~ spl2_9
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f3693,f154]) ).
fof(f3708,plain,
( spl2_27
| ~ spl2_9
| spl2_11 ),
inference(avatar_split_clause,[],[f3697,f308,f285,f713]) ).
fof(f3714,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ spl2_111 ),
inference(resolution,[],[f2634,f187]) ).
fof(f3718,plain,
( ~ aScalar0(xP)
| ~ spl2_111 ),
inference(duplicate_literal_removal,[],[f3714]) ).
fof(f3722,plain,
( $false
| ~ spl2_111 ),
inference(forward_subsumption_resolution,[],[f3718,f158]) ).
fof(f3723,plain,
~ spl2_111,
inference(avatar_contradiction_clause,[],[f3722]) ).
fof(f3730,plain,
( ~ spl2_128
| spl2_129
| ~ spl2_2
| spl2_9 ),
inference(avatar_split_clause,[],[f3475,f285,f223,f3507,f3503]) ).
fof(f3732,plain,
( ~ spl2_124
| spl2_125
| ~ spl2_2
| spl2_9 ),
inference(avatar_split_clause,[],[f3473,f285,f223,f3491,f3487]) ).
fof(f3742,plain,
( ~ aScalar0(xA)
| ~ aScalar0(xA)
| ~ spl2_130 ),
inference(resolution,[],[f3512,f187]) ).
fof(f3746,plain,
( ~ aScalar0(xA)
| ~ spl2_130 ),
inference(duplicate_literal_removal,[],[f3742]) ).
fof(f3750,plain,
( $false
| ~ spl2_130 ),
inference(forward_subsumption_resolution,[],[f3746,f140]) ).
fof(f3751,plain,
~ spl2_130,
inference(avatar_contradiction_clause,[],[f3750]) ).
fof(f3765,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(X0)
| ~ aScalar0(xR)
| ~ aScalar0(xS) )
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f704,f808]) ).
fof(f3787,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xR)
| ~ aScalar0(X0)
| ~ aScalar0(xR)
| ~ aScalar0(xS) )
| ~ spl2_5
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f3765,f244]) ).
fof(f3815,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xR)
| ~ aScalar0(X0)
| ~ aScalar0(xS) )
| ~ spl2_5
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f3787,f156]) ).
fof(f3839,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xR)
| ~ aScalar0(X0) )
| ~ spl2_5
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f3815,f160]) ).
fof(f3878,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| ~ spl2_5
| spl2_35 ),
inference(resolution,[],[f3839,f187]) ).
fof(f3882,plain,
( ~ aScalar0(xR)
| ~ spl2_5
| spl2_35 ),
inference(duplicate_literal_removal,[],[f3878]) ).
fof(f3885,plain,
( $false
| ~ spl2_5
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f3882,f156]) ).
fof(f3886,plain,
( ~ spl2_5
| spl2_35 ),
inference(avatar_contradiction_clause,[],[f3885]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f225]) ).
cnf(s6,plain,
spl2_7,
inference(sat_conversion,[],[f276]) ).
cnf(s14,plain,
( ~ spl2_13
| spl2_18 ),
inference(sat_conversion,[],[f439]) ).
cnf(s17,plain,
( ~ spl2_2
| ~ spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f445]) ).
cnf(s27,plain,
spl2_20,
inference(sat_conversion,[],[f639]) ).
cnf(s28,plain,
spl2_13,
inference(sat_conversion,[],[f641]) ).
cnf(s30,plain,
~ spl2_27,
inference(sat_conversion,[],[f727]) ).
cnf(s41,plain,
( spl2_35
| ~ spl2_45
| spl2_46 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s45,plain,
( ~ spl2_13
| ~ spl2_43 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s97,plain,
~ spl2_1,
inference(sat_conversion,[],[f2119]) ).
cnf(s103,plain,
( spl2_5
| spl2_45 ),
inference(sat_conversion,[],[f2230]) ).
cnf(s105,plain,
( ~ spl2_20
| ~ spl2_46 ),
inference(sat_conversion,[],[f2261]) ).
cnf(s127,plain,
( ~ spl2_7
| ~ spl2_11
| ~ spl2_35
| ~ spl2_110
| spl2_111 ),
inference(sat_conversion,[],[f2647]) ).
cnf(s164,plain,
( spl2_9
| ~ spl2_122
| spl2_130 ),
inference(sat_conversion,[],[f3513]) ).
cnf(s169,plain,
( spl2_124
| spl2_128 ),
inference(sat_conversion,[],[f3565]) ).
cnf(s170,plain,
( spl2_122
| ~ spl2_125 ),
inference(sat_conversion,[],[f3581]) ).
cnf(s172,plain,
~ spl2_129,
inference(sat_conversion,[],[f3595]) ).
cnf(s176,plain,
( ~ spl2_2
| ~ spl2_9
| ~ spl2_13
| ~ spl2_14
| spl2_40
| spl2_43 ),
inference(sat_conversion,[],[f3648]) ).
cnf(s179,plain,
( ~ spl2_18
| ~ spl2_40
| spl2_110 ),
inference(sat_conversion,[],[f3666]) ).
cnf(s186,plain,
( ~ spl2_9
| spl2_11
| spl2_27 ),
inference(sat_conversion,[],[f3708]) ).
cnf(s187,plain,
~ spl2_111,
inference(sat_conversion,[],[f3723]) ).
cnf(s189,plain,
( ~ spl2_2
| spl2_9
| ~ spl2_128
| spl2_129 ),
inference(sat_conversion,[],[f3730]) ).
cnf(s190,plain,
( ~ spl2_2
| spl2_9
| ~ spl2_124
| spl2_125 ),
inference(sat_conversion,[],[f3732]) ).
cnf(s193,plain,
~ spl2_130,
inference(sat_conversion,[],[f3751]) ).
cnf(s205,plain,
( ~ spl2_5
| spl2_35 ),
inference(sat_conversion,[],[f3886]) ).
cnf(s206,plain,
( spl2_9
| ~ spl2_122 ),
inference(rat,[],[s164,s193]) ).
cnf(s213,plain,
( ~ spl2_7
| ~ spl2_11
| ~ spl2_35
| ~ spl2_110 ),
inference(rat,[],[s127,s187]) ).
cnf(s242,plain,
~ spl2_43,
inference(rat,[],[s45,s28]) ).
cnf(s244,plain,
~ spl2_46,
inference(rat,[],[s105,s27]) ).
cnf(s254,plain,
( ~ spl2_2
| spl2_14 ),
inference(rat,[],[s17,s28]) ).
cnf(s257,plain,
spl2_18,
inference(rat,[],[s14,s28]) ).
cnf(s267,plain,
spl2_2,
inference(rat,[],[s1,s97]) ).
cnf(s269,plain,
spl2_14,
inference(rat,[],[s254,s267]) ).
cnf(s270,plain,
spl2_9,
inference(rat,[],[s190,s170,s169,s206,s189,s267,s172]) ).
cnf(s271,plain,
spl2_11,
inference(rat,[],[s186,s30,s270]) ).
cnf(s272,plain,
spl2_40,
inference(rat,[],[s176,s242,s269,s267,s28,s270]) ).
cnf(s276,plain,
spl2_110,
inference(rat,[],[s179,s257,s272]) ).
cnf(s280,plain,
~ spl2_35,
inference(rat,[],[s213,s271,s6,s276]) ).
cnf(s281,plain,
~ spl2_5,
inference(rat,[],[s205,s280]) ).
cnf(s284,plain,
~ spl2_45,
inference(rat,[],[s41,s244,s280]) ).
cnf(s285,plain,
$false,
inference(rat,[],[s103,s284,s281]) ).
fof(f3888,plain,
$false,
inference(avatar_sat_refutation,[],[s285]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG054+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n002.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 23:05:21 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
% 11.20/2.44 % (3995424)Detected formulas, will run a generic FOF schedule.
% 11.20/2.44 % (3995433)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1418074158:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.20/2.44 % (3995432)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2331909975:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.20/2.44 % (3995430)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=378702811:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.20/2.44 % (3995431)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=1492600795:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.20/2.44 % (3995429)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=1511611020:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.20/2.44 % (3995433)Instruction limit reached!
% 11.20/2.44 % (3995433)------------------------------
% 11.20/2.44 % (3995433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.44 % (3995433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.44 % (3995433)CaDiCaL version: 2.1.3
% 11.20/2.44 % (3995433)Termination reason: Instruction limit
% 11.20/2.44 % (3995433)Termination phase: Saturation
% 11.20/2.44 % (3995433)Time elapsed: 0.034 s
% 11.20/2.44 % (3995433)Peak memory usage: 88 MB
% 11.20/2.44 % (3995433)Instructions burned: 120 (million)
% 11.20/2.44 % (3995435)dis-21_1_sil=8000:lcm=predicate:random_seed=3250972667: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)
% 11.20/2.44 % (3995434)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2562497362:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.20/2.44 % (3995432)Instruction limit reached!
% 11.20/2.44 % (3995432)------------------------------
% 11.20/2.44 % (3995432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.44 % (3995432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.44 % (3995432)CaDiCaL version: 2.1.3
% 11.20/2.44 % (3995432)Termination reason: Instruction limit
% 11.20/2.44 % (3995432)Termination phase: Saturation
% 11.20/2.44 % (3995432)Time elapsed: 0.053 s
% 11.20/2.44 % (3995432)Peak memory usage: 88 MB
% 11.20/2.44 % (3995432)Instructions burned: 110 (million)
% 11.20/2.44 % (3995435)Instruction limit reached!
% 11.20/2.44 % (3995435)------------------------------
% 11.20/2.44 % (3995435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.44 % (3995435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.44 % (3995435)CaDiCaL version: 2.1.3
% 11.20/2.44 % (3995435)Termination reason: Instruction limit
% 11.20/2.44 % (3995435)Termination phase: Saturation
% 11.20/2.44 % (3995435)Time elapsed: 0.066 s
% 11.20/2.44 % (3995435)Peak memory usage: 89 MB
% 11.20/2.44 % (3995435)Instructions burned: 130 (million)
% 11.20/2.44 % (3995434)Instruction limit reached!
% 11.20/2.44 % (3995434)------------------------------
% 11.20/2.44 % (3995434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.44 % (3995434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.44 % (3995434)CaDiCaL version: 2.1.3
% 11.20/2.44 % (3995434)Termination reason: Instruction limit
% 11.20/2.44 % (3995434)Termination phase: Saturation
% 11.20/2.44 % (3995434)Time elapsed: 0.090 s
% 11.20/2.44 % (3995434)Peak memory usage: 90 MB
% 11.20/2.44 % (3995434)Instructions burned: 140 (million)
% 11.20/2.44 % (3995441)lrs+10_1_sil=8000:sp=occurrence:random_seed=1928612298:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.20/2.44 % (3995444)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1404343822:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.20/2.44 % (3995441)Instruction limit reached!
% 11.20/2.44 % (3995441)------------------------------
% 11.20/2.44 % (3995441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.44 % (3995441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.44 % (3995441)CaDiCaL version: 2.1.3
% 11.20/2.44 % (3995441)Termination reason: Instruction limit
% 11.20/2.44 % (3995441)Termination phase: Saturation
% 14.22/3.02 % (3995441)Time elapsed: 0.094 s
% 14.22/3.02 % (3995441)Peak memory usage: 93 MB
% 14.22/3.02 % (3995441)Instructions burned: 287 (million)
% 14.22/3.02 % (3995445)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2786314482:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 14.22/3.02 % (3995446)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=543396443:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 14.22/3.02 % (3995444)Instruction limit reached!
% 14.22/3.02 % (3995444)------------------------------
% 14.22/3.02 % (3995444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995444)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995444)Termination reason: Instruction limit
% 14.22/3.02 % (3995444)Termination phase: Saturation
% 14.22/3.02 % (3995444)Time elapsed: 0.075 s
% 14.22/3.02 % (3995444)Peak memory usage: 90 MB
% 14.22/3.02 % (3995444)Instructions burned: 158 (million)
% 14.22/3.02 % (3995449)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3682402899:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 14.22/3.02 % (3995446)Instruction limit reached!
% 14.22/3.02 % (3995446)------------------------------
% 14.22/3.02 % (3995446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995446)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995446)Termination reason: Instruction limit
% 14.22/3.02 % (3995446)Termination phase: Saturation
% 14.22/3.02 % (3995446)Time elapsed: 0.128 s
% 14.22/3.02 % (3995446)Peak memory usage: 95 MB
% 14.22/3.02 % (3995446)Instructions burned: 248 (million)
% 14.22/3.02 % (3995452)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2631936908:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 14.22/3.02 % (3995445)Instruction limit reached!
% 14.22/3.02 % (3995445)------------------------------
% 14.22/3.02 % (3995445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995445)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995445)Termination reason: Instruction limit
% 14.22/3.02 % (3995445)Termination phase: Saturation
% 14.22/3.02 % (3995445)Time elapsed: 0.193 s
% 14.22/3.02 % (3995445)Peak memory usage: 93 MB
% 14.22/3.02 % (3995445)Instructions burned: 326 (million)
% 14.22/3.02 % (3995449)Instruction limit reached!
% 14.22/3.02 % (3995449)------------------------------
% 14.22/3.02 % (3995449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995449)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995449)Termination reason: Instruction limit
% 14.22/3.02 % (3995449)Termination phase: Saturation
% 14.22/3.02 % (3995449)Time elapsed: 0.091 s
% 14.22/3.02 % (3995449)Peak memory usage: 90 MB
% 14.22/3.02 % (3995449)Instructions burned: 297 (million)
% 14.22/3.02 % (3995454)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2533647764:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.22/3.02 % (3995457)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1559131471:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 14.22/3.02 % (3995456)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1837693663:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 14.22/3.02 % (3995454)Instruction limit reached!
% 14.22/3.02 % (3995454)------------------------------
% 14.22/3.02 % (3995454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995454)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995454)Termination reason: Instruction limit
% 14.22/3.02 % (3995454)Termination phase: Saturation
% 14.22/3.02 % (3995454)Time elapsed: 0.073 s
% 14.22/3.02 % (3995454)Peak memory usage: 91 MB
% 14.22/3.02 % (3995454)Instructions burned: 113 (million)
% 14.22/3.02 % (3995457)Instruction limit reached!
% 14.22/3.02 % (3995457)------------------------------
% 14.22/3.02 % (3995457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995457)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995457)Termination reason: Instruction limit
% 14.22/3.02 % (3995457)Termination phase: Saturation
% 14.22/3.02 % (3995457)Time elapsed: 0.037 s
% 14.22/3.02 % (3995457)Peak memory usage: 89 MB
% 14.22/3.02 % (3995457)Instructions burned: 116 (million)
% 14.22/3.02 % (3995456)Instruction limit reached!
% 14.22/3.02 % (3995456)------------------------------
% 14.22/3.02 % (3995456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995456)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995456)Termination reason: Instruction limit
% 14.22/3.02 % (3995456)Termination phase: Saturation
% 14.22/3.02 % (3995456)Time elapsed: 0.066 s
% 14.22/3.02 % (3995456)Peak memory usage: 89 MB
% 14.22/3.02 % (3995456)Instructions burned: 127 (million)
% 14.22/3.02 % (3995462)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3951601546:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 14.22/3.02 % (3995461)lrs+10_1_sil=8000:sp=occurrence:random_seed=3097632742:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 14.22/3.02 % (3995463)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=55780233:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 14.22/3.02 % (3995462)Instruction limit reached!
% 14.22/3.02 % (3995462)------------------------------
% 14.22/3.02 % (3995462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995462)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995462)Termination reason: Instruction limit
% 14.22/3.02 % (3995462)Termination phase: Saturation
% 14.22/3.02 % (3995462)Time elapsed: 0.131 s
% 14.22/3.02 % (3995462)Peak memory usage: 94 MB
% 14.22/3.02 % (3995462)Instructions burned: 438 (million)
% 14.22/3.02 % (3995467)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2750407270:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 14.22/3.02 % (3995467)Instruction limit reached!
% 14.22/3.02 % (3995467)------------------------------
% 14.22/3.02 % (3995467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995467)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995467)Termination reason: Instruction limit
% 14.22/3.02 % (3995467)Termination phase: Saturation
% 14.22/3.02 % (3995467)Time elapsed: 0.032 s
% 14.22/3.02 % (3995467)Peak memory usage: 91 MB
% 14.22/3.02 % (3995467)Instructions burned: 135 (million)
% 14.22/3.02 % (3995469)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=550815597:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 14.22/3.02 % (3995461)Instruction limit reached!
% 14.22/3.02 % (3995461)------------------------------
% 14.22/3.02 % (3995461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995461)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995461)Termination reason: Instruction limit
% 14.22/3.02 % (3995461)Termination phase: Saturation
% 14.22/3.02 % (3995461)Time elapsed: 0.498 s
% 14.22/3.02 % (3995461)Peak memory usage: 103 MB
% 14.22/3.02 % (3995461)Instructions burned: 909 (million)
% 14.22/3.02 % (3995469)Instruction limit reached!
% 14.22/3.02 % (3995469)------------------------------
% 14.22/3.02 % (3995469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995469)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995469)Termination reason: Instruction limit
% 14.22/3.02 % (3995469)Termination phase: Saturation
% 14.22/3.02 % (3995469)Time elapsed: 0.134 s
% 14.22/3.02 % (3995469)Peak memory usage: 90 MB
% 14.22/3.02 % (3995469)Instructions burned: 595 (million)
% 14.22/3.02 % (3995471)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=714551956:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 14.22/3.02 % (3995472)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=492979365:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 14.22/3.02 % (3995472)Instruction limit reached!
% 14.22/3.02 % (3995472)------------------------------
% 14.22/3.02 % (3995472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995472)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995472)Termination reason: Instruction limit
% 14.22/3.02 % (3995472)Termination phase: Saturation
% 14.22/3.02 % (3995472)Time elapsed: 0.035 s
% 14.22/3.02 % (3995472)Peak memory usage: 91 MB
% 14.22/3.02 % (3995472)Instructions burned: 126 (million)
% 14.22/3.02 % (3995475)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3027280992:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 14.22/3.02 % (3995475)Instruction limit reached!
% 14.22/3.02 % (3995475)------------------------------
% 14.22/3.02 % (3995475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995475)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995475)Termination reason: Instruction limit
% 14.22/3.02 % (3995475)Termination phase: Saturation
% 14.22/3.02 % (3995475)Time elapsed: 0.039 s
% 14.22/3.02 % (3995475)Peak memory usage: 91 MB
% 14.22/3.02 % (3995475)Instructions burned: 138 (million)
% 14.22/3.02 % (3995463)First to succeed.
% 14.22/3.02 % (3995463)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3995424"
% 14.22/3.02 % (3995477)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=442608478:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 14.22/3.02 % (3995477)Instruction limit reached!
% 14.22/3.02 % (3995477)------------------------------
% 14.22/3.02 % (3995477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995477)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995477)Termination reason: Instruction limit
% 14.22/3.02 % (3995477)Termination phase: Saturation
% 14.22/3.02 % (3995477)Time elapsed: 0.033 s
% 14.22/3.02 % (3995477)Peak memory usage: 89 MB
% 14.22/3.02 % (3995477)Instructions burned: 147 (million)
% 14.22/3.02 % (3995452)Instruction limit reached!
% 14.22/3.02 % (3995452)------------------------------
% 14.22/3.02 % (3995452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.02 % (3995452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.02 % (3995452)CaDiCaL version: 2.1.3
% 14.22/3.02 % (3995452)Termination reason: Instruction limit
% 14.22/3.02 % (3995452)Termination phase: Saturation
% 14.22/3.02 % (3995452)Time elapsed: 1.487 s
% 14.22/3.02 % (3995452)Peak memory usage: 143 MB
% 14.22/3.02 % (3995452)Instructions burned: 2351 (million)
% 14.22/3.02 % (3995479)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1796920572:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 14.22/3.02 % (3995463)Refutation found. Thanks to Tanya!
% 14.22/3.02 % SZS status Theorem for theBenchmark
% 14.22/3.02 % SZS output start Proof for theBenchmark
% See solution above
% 15.82/3.13 % (3995463)------------------------------
% 15.82/3.13 % (3995463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.82/3.13 % (3995463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.82/3.13 % (3995463)CaDiCaL version: 2.1.3
% 15.82/3.13 % (3995463)Termination reason: Refutation
% 15.82/3.13 % (3995463)Time elapsed: 0.939 s
% 15.82/3.13 % (3995463)Peak memory usage: 134 MB
% 15.82/3.13 % (3995463)Instructions burned: 1394 (million)
% 15.82/3.13 % (3995463)------------------------------
% 15.82/3.13 % (3995463)------------------------------
% 15.82/3.13 % (3995424)Success in time 2.175 s
% 15.82/3.13 % Vampire exiting
%------------------------------------------------------------------------------