%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG058+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 : n012.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 12:35:19 PM UTC 2026
% Result : Theorem 8.73s 3.13s
% Output : Refutation 18.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 45
% Syntax : Number of formulae : 323 ( 51 unt; 23 def)
% Number of atoms : 1099 ( 66 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1490 ( 714 ~; 694 |; 42 &)
% ( 23 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 24 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 227 ( 0 sgn 227 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(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(f21,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f50,axiom,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2004) ).
fof(f58,conjecture,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f59,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f60,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(flattening,[],[f59]) ).
fof(f85,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f88,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f89,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f88]) ).
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(ennf_transformation,[],[f24]) ).
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(flattening,[],[f90]) ).
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(ennf_transformation,[],[f23]) ).
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(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f95,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f97,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f99,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f100,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f99]) ).
fof(f110,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(f111,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f112,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f111]) ).
fof(f115,plain,
! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f116,plain,
! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f115]) ).
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(ennf_transformation,[],[f17]) ).
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(flattening,[],[f117]) ).
fof(f119,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f139,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f147,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f150,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f151,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f153,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f155,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f156,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f159,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f160,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f60]) ).
fof(f175,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f178,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f179,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,[],[f91]) ).
fof(f180,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,[],[f93]) ).
fof(f181,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f95]) ).
fof(f182,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f183,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f184,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f197,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f198,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f199,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f200,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f202,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f204,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f205,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f206,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f208,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f209,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f210,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f211,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f216,definition,
( spl2_1
<=> ! [X0] : ~ aScalar0(X0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f217,plain,
( ! [X0] : ~ aScalar0(X0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f219,definition,
( spl2_2
<=> sz0z00 = smndt0(sz0z00) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f221,plain,
( sz0z00 = smndt0(sz0z00)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f222,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f197,f219,f216]) ).
fof(f234,definition,
( spl2_5
<=> aScalar0(sdtasdt0(xS,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f235,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| spl2_5 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f238,definition,
( spl2_6
<=> aScalar0(sdtasdt0(xR,xR)) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f239,plain,
( aScalar0(sdtasdt0(xR,xR))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| spl2_6 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f242,definition,
( spl2_7
<=> aScalar0(sdtasdt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f243,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f244,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_7 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f254,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| spl2_5 ),
inference(resolution,[],[f236,f184]) ).
fof(f255,plain,
( ~ aScalar0(xS)
| spl2_5 ),
inference(duplicate_literal_removal,[],[f254]) ).
fof(f256,plain,
( $false
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f255,f155]) ).
fof(f257,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f258,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| spl2_6 ),
inference(resolution,[],[f240,f184]) ).
fof(f259,plain,
( ~ aScalar0(xR)
| spl2_6 ),
inference(duplicate_literal_removal,[],[f258]) ).
fof(f260,plain,
( $false
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f259,f151]) ).
fof(f261,plain,
spl2_6,
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f262,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_7 ),
inference(resolution,[],[f244,f184]) ).
fof(f263,plain,
( ~ aScalar0(xP)
| spl2_7 ),
inference(duplicate_literal_removal,[],[f262]) ).
fof(f264,plain,
( $false
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f263,f153]) ).
fof(f265,plain,
spl2_7,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f335,plain,
! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(resolution,[],[f181,f160]) ).
fof(f339,definition,
( spl2_12
<=> aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f341,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| spl2_12 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f343,definition,
( spl2_13
<=> aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f345,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| spl2_13 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f347,definition,
( spl2_14
<=> ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f348,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f349,plain,
( ~ spl2_12
| ~ spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f335,f347,f343,f339]) ).
fof(f351,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| spl2_12 ),
inference(resolution,[],[f341,f205]) ).
fof(f352,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| ~ spl2_6
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f351,f239]) ).
fof(f353,plain,
( $false
| ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f352,f235]) ).
fof(f354,plain,
( ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f355,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| spl2_13 ),
inference(resolution,[],[f345,f205]) ).
fof(f358,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_13 ),
inference(duplicate_literal_removal,[],[f355]) ).
fof(f360,plain,
( $false
| ~ spl2_7
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f358,f243]) ).
fof(f361,plain,
( ~ spl2_7
| spl2_13 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f362,plain,
( ! [X0,X1] :
( ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X1)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(X1) )
| ~ spl2_14 ),
inference(resolution,[],[f348,f180]) ).
fof(f367,plain,
( ! [X0,X1] :
( ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X1)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_14 ),
inference(duplicate_literal_removal,[],[f362]) ).
fof(f370,plain,
( ! [X0,X1] :
( ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f367,f243]) ).
fof(f371,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f370,f205]) ).
fof(f691,definition,
( spl2_19
<=> sdtlseqdt0(sz0z00,xG) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
fof(f692,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f693,plain,
( ~ sdtlseqdt0(sz0z00,xG)
| spl2_19 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f700,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_7
| ~ spl2_14 ),
inference(superposition,[],[f371,f200]) ).
fof(f702,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X2))
| ~ aScalar0(X2) ),
inference(superposition,[],[f180,f200]) ).
fof(f703,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,[],[f180,f200]) ).
fof(f704,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,[],[f703]) ).
fof(f705,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X2)) ),
inference(duplicate_literal_removal,[],[f702]) ).
fof(f707,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) )
| ~ spl2_7
| ~ spl2_14 ),
inference(duplicate_literal_removal,[],[f700]) ).
fof(f708,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,[],[f704,f211]) ).
fof(f709,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f705,f211]) ).
fof(f710,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f707,f211]) ).
fof(f713,definition,
( spl2_21
<=> ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),smndt0(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
fof(f714,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xP,xP),smndt0(X0))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f716,definition,
( spl2_22
<=> sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
fof(f718,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| spl2_22 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f719,plain,
( spl2_21
| ~ spl2_22
| ~ spl2_7
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f710,f347,f242,f716,f713]) ).
fof(f726,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xR,xR))
| ~ sdtlseqdt0(smndt0(X0),sdtasdt0(xS,xS))
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS)) )
| spl2_22 ),
inference(resolution,[],[f708,f718]) ).
fof(f737,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xR,xR))
| ~ sdtlseqdt0(smndt0(X0),sdtasdt0(xS,xS))
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xS,xS)) )
| ~ spl2_6
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f726,f239]) ).
fof(f747,plain,
( ! [X0] :
( ~ sdtlseqdt0(smndt0(X0),sdtasdt0(xS,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xR,xR))
| ~ aScalar0(X0) )
| ~ spl2_5
| ~ spl2_6
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f737,f235]) ).
fof(f793,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f217,f151]) ).
fof(f798,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f793]) ).
fof(f1080,plain,
( smndt0(xR) = sdtasdt0(smndt0(xC),xG)
| ~ aScalar0(xC)
| ~ aScalar0(xG) ),
inference(superposition,[],[f209,f150]) ).
fof(f1084,plain,
( smndt0(xN) = sdtasdt0(smndt0(xR),xS)
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(superposition,[],[f209,f156]) ).
fof(f1105,plain,
( smndt0(xN) = sdtasdt0(smndt0(xR),xS)
| ~ aScalar0(xS) ),
inference(forward_subsumption_resolution,[],[f1084,f151]) ).
fof(f1109,plain,
( smndt0(xR) = sdtasdt0(smndt0(xC),xG)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f1080,f139]) ).
fof(f1112,plain,
smndt0(xN) = sdtasdt0(smndt0(xR),xS),
inference(forward_subsumption_resolution,[],[f1105,f155]) ).
fof(f1115,plain,
smndt0(xR) = sdtasdt0(smndt0(xC),xG),
inference(forward_subsumption_resolution,[],[f1109,f147]) ).
fof(f1132,plain,
( smndt0(smndt0(xN)) = sdtasdt0(smndt0(xR),smndt0(xS))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(xS) ),
inference(superposition,[],[f210,f1112]) ).
fof(f1137,plain,
( smndt0(smndt0(xN)) = sdtasdt0(smndt0(xR),smndt0(xS))
| ~ aScalar0(smndt0(xR)) ),
inference(forward_subsumption_resolution,[],[f1132,f155]) ).
fof(f1153,definition,
( spl2_42
<=> aScalar0(smndt0(xR)) ),
introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).
fof(f1154,plain,
( aScalar0(smndt0(xR))
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1155,plain,
( ~ aScalar0(smndt0(xR))
| spl2_42 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1163,definition,
( spl2_44
<=> smndt0(smndt0(xN)) = sdtasdt0(smndt0(xR),smndt0(xS)) ),
introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).
fof(f1165,plain,
( smndt0(smndt0(xN)) = sdtasdt0(smndt0(xR),smndt0(xS))
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1166,plain,
( ~ spl2_42
| spl2_44 ),
inference(avatar_split_clause,[],[f1137,f1163,f1153]) ).
fof(f1353,definition,
( spl2_71
<=> aScalar0(smndt0(xC)) ),
introduced(definition,[new_symbols(definition,[spl2_71])],[avatar_definition]) ).
fof(f1354,plain,
( aScalar0(smndt0(xC))
| ~ spl2_71 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1355,plain,
( ~ aScalar0(smndt0(xC))
| spl2_71 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1591,plain,
( ~ aScalar0(xC)
| spl2_71 ),
inference(resolution,[],[f211,f1355]) ).
fof(f1594,plain,
( ~ aScalar0(xR)
| spl2_42 ),
inference(resolution,[],[f211,f1155]) ).
fof(f1603,plain,
( $false
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f1594,f151]) ).
fof(f1604,plain,
spl2_42,
inference(avatar_contradiction_clause,[],[f1603]) ).
fof(f1609,plain,
( $false
| spl2_71 ),
inference(forward_subsumption_resolution,[],[f1591,f139]) ).
fof(f1610,plain,
spl2_71,
inference(avatar_contradiction_clause,[],[f1609]) ).
fof(f1654,definition,
( spl2_101
<=> sdtlseqdt0(sz0z00,smndt0(xR)) ),
introduced(definition,[new_symbols(definition,[spl2_101])],[avatar_definition]) ).
fof(f1655,plain,
( sdtlseqdt0(sz0z00,smndt0(xR))
| ~ spl2_101 ),
inference(avatar_component_clause,[],[f1654]) ).
fof(f1656,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xR))
| spl2_101 ),
inference(avatar_component_clause,[],[f1654]) ).
fof(f1959,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
| ~ aScalar0(sz0z00)
| ~ spl2_2
| ~ spl2_5
| ~ spl2_6
| spl2_22 ),
inference(superposition,[],[f747,f221]) ).
fof(f1964,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
| ~ spl2_2
| ~ spl2_5
| ~ spl2_6
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f1959,f206]) ).
fof(f1968,definition,
( spl2_104
<=> sdtlseqdt0(sz0z00,sdtasdt0(xS,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_104])],[avatar_definition]) ).
fof(f1970,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| spl2_104 ),
inference(avatar_component_clause,[],[f1968]) ).
fof(f1972,definition,
( spl2_105
<=> sdtlseqdt0(sz0z00,sdtasdt0(xR,xR)) ),
introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition]) ).
fof(f1974,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
| spl2_105 ),
inference(avatar_component_clause,[],[f1972]) ).
fof(f1976,plain,
( ~ spl2_105
| ~ spl2_104
| ~ spl2_2
| ~ spl2_5
| ~ spl2_6
| spl2_22 ),
inference(avatar_split_clause,[],[f1964,f716,f238,f234,f219,f1968,f1972]) ).
fof(f1977,plain,
( ~ aScalar0(xS)
| spl2_104 ),
inference(resolution,[],[f1970,f175]) ).
fof(f1982,plain,
( $false
| spl2_104 ),
inference(forward_subsumption_resolution,[],[f1977,f155]) ).
fof(f1983,plain,
spl2_104,
inference(avatar_contradiction_clause,[],[f1982]) ).
fof(f1986,plain,
( ~ aScalar0(xR)
| spl2_105 ),
inference(resolution,[],[f1974,f175]) ).
fof(f1991,plain,
( $false
| spl2_105 ),
inference(forward_subsumption_resolution,[],[f1986,f151]) ).
fof(f1992,plain,
spl2_105,
inference(avatar_contradiction_clause,[],[f1991]) ).
fof(f1999,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_21 ),
inference(superposition,[],[f714,f210]) ).
fof(f2003,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(X0,smndt0(X1)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1999,f184]) ).
fof(f2124,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,[],[f179,f202]) ).
fof(f2162,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,[],[f2124]) ).
fof(f2182,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,[],[f2162,f183]) ).
fof(f2191,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,[],[f2182,f206]) ).
fof(f2197,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,[],[f2191,f208]) ).
fof(f2199,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(X0,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(xG) ),
inference(superposition,[],[f2191,f1115]) ).
fof(f2202,plain,
! [X0] :
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(X0,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(X0)
| ~ aScalar0(xC)
| ~ aScalar0(xG) ),
inference(superposition,[],[f2191,f150]) ).
fof(f2222,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,[],[f2197,f211]) ).
fof(f2246,definition,
( spl2_114
<=> ! [X1] :
( ~ sdtlseqdt0(X1,xC)
| ~ aScalar0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl2_114])],[avatar_definition]) ).
fof(f2247,plain,
( ! [X1] :
( ~ sdtlseqdt0(X1,xC)
| ~ aScalar0(X1) )
| ~ spl2_114 ),
inference(avatar_component_clause,[],[f2246]) ).
fof(f2252,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,[],[f2222,f211]) ).
fof(f2273,plain,
( ~ aScalar0(xC)
| ~ aScalar0(xC)
| ~ spl2_114 ),
inference(resolution,[],[f2247,f183]) ).
fof(f2274,plain,
( ~ aScalar0(xC)
| ~ spl2_114 ),
inference(duplicate_literal_removal,[],[f2273]) ).
fof(f2277,plain,
( $false
| ~ spl2_114 ),
inference(forward_subsumption_resolution,[],[f2274,f139]) ).
fof(f2278,plain,
~ spl2_114,
inference(avatar_contradiction_clause,[],[f2277]) ).
fof(f2683,definition,
( spl2_139
<=> sdtlseqdt0(xR,sz0z00) ),
introduced(definition,[new_symbols(definition,[spl2_139])],[avatar_definition]) ).
fof(f2684,plain,
( sdtlseqdt0(xR,sz0z00)
| ~ spl2_139 ),
inference(avatar_component_clause,[],[f2683]) ).
fof(f2685,plain,
( ~ sdtlseqdt0(xR,sz0z00)
| spl2_139 ),
inference(avatar_component_clause,[],[f2683]) ).
fof(f2687,definition,
( spl2_140
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(definition,[new_symbols(definition,[spl2_140])],[avatar_definition]) ).
fof(f2688,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ spl2_140 ),
inference(avatar_component_clause,[],[f2687]) ).
fof(f2689,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| spl2_140 ),
inference(avatar_component_clause,[],[f2687]) ).
fof(f2698,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| sz0z00 = xR
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ spl2_139 ),
inference(resolution,[],[f2684,f182]) ).
fof(f2951,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(X0,smndt0(smndt0(xC)))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(xG) ),
inference(superposition,[],[f2252,f1115]) ).
fof(f2954,plain,
! [X0] :
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(X0,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(X0)
| ~ aScalar0(xC)
| ~ aScalar0(xG) ),
inference(superposition,[],[f2252,f150]) ).
fof(f2981,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(X0)
| ~ aScalar0(xC)
| ~ aScalar0(xG) )
| spl2_140 ),
inference(forward_subsumption_resolution,[],[f2954,f2689]) ).
fof(f2983,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(smndt0(xC)))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(xG) )
| spl2_101 ),
inference(forward_subsumption_resolution,[],[f2951,f1656]) ).
fof(f3015,definition,
( spl2_168
<=> ! [X1] :
( ~ sdtlseqdt0(X1,smndt0(xC))
| ~ aScalar0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl2_168])],[avatar_definition]) ).
fof(f3016,plain,
( ! [X1] :
( ~ sdtlseqdt0(X1,smndt0(xC))
| ~ aScalar0(X1) )
| ~ spl2_168 ),
inference(avatar_component_clause,[],[f3015]) ).
fof(f3021,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(X0)
| ~ aScalar0(xG) )
| spl2_140 ),
inference(forward_subsumption_resolution,[],[f2981,f139]) ).
fof(f3023,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(smndt0(xC)))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(X0)
| ~ aScalar0(xG) )
| ~ spl2_71
| spl2_101 ),
inference(forward_subsumption_resolution,[],[f2983,f1354]) ).
fof(f3043,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(X0) )
| spl2_140 ),
inference(forward_subsumption_resolution,[],[f3021,f147]) ).
fof(f3052,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(smndt0(xC)))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(X0) )
| ~ spl2_71
| spl2_101 ),
inference(forward_subsumption_resolution,[],[f3023,f147]) ).
fof(f3061,definition,
( spl2_176
<=> sdtlseqdt0(sz0z00,smndt0(xG)) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
fof(f3063,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xG))
| spl2_176 ),
inference(avatar_component_clause,[],[f3061]) ).
fof(f3064,plain,
( ~ spl2_176
| spl2_168
| spl2_140 ),
inference(avatar_split_clause,[],[f3043,f2687,f3015,f3061]) ).
fof(f3066,definition,
( spl2_177
<=> ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(smndt0(xC)))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_177])],[avatar_definition]) ).
fof(f3067,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(smndt0(xC)))
| ~ aScalar0(X0) )
| ~ spl2_177 ),
inference(avatar_component_clause,[],[f3066]) ).
fof(f3068,plain,
( ~ spl2_176
| spl2_177
| ~ spl2_71
| spl2_101 ),
inference(avatar_split_clause,[],[f3052,f1654,f1353,f3066,f3061]) ).
fof(f3093,plain,
( ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xC))
| ~ spl2_168 ),
inference(resolution,[],[f3016,f183]) ).
fof(f3094,plain,
( ~ aScalar0(smndt0(xC))
| ~ spl2_168 ),
inference(duplicate_literal_removal,[],[f3093]) ).
fof(f3097,plain,
( $false
| ~ spl2_71
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f3094,f1354]) ).
fof(f3098,plain,
( ~ spl2_71
| ~ spl2_168 ),
inference(avatar_contradiction_clause,[],[f3097]) ).
fof(f3130,plain,
( sz0z00 = xR
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ spl2_139
| ~ spl2_140 ),
inference(forward_subsumption_resolution,[],[f2698,f2688]) ).
fof(f3136,plain,
( sz0z00 = xR
| ~ aScalar0(xR)
| ~ spl2_139
| ~ spl2_140 ),
inference(forward_subsumption_resolution,[],[f3130,f206]) ).
fof(f3142,plain,
( sz0z00 = xR
| ~ spl2_139
| ~ spl2_140 ),
inference(forward_subsumption_resolution,[],[f3136,f151]) ).
fof(f3646,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,[],[f180,f204]) ).
fof(f3653,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[],[f709,f204]) ).
fof(f3664,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00) ),
inference(duplicate_literal_removal,[],[f3653]) ).
fof(f3671,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,[],[f3646]) ).
fof(f3681,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f3664,f206]) ).
fof(f3684,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,[],[f3671,f206]) ).
fof(f3740,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xR)
| sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(xR) )
| ~ spl2_101 ),
inference(resolution,[],[f3681,f1655]) ).
fof(f3754,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,xR)
| ~ aScalar0(X0) )
| ~ spl2_101 ),
inference(forward_subsumption_resolution,[],[f3740,f151]) ).
fof(f3809,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(X0),X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X0) ),
inference(superposition,[],[f3684,f199]) ).
fof(f3811,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(X0),X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f3809]) ).
fof(f3824,plain,
! [X0,X1] :
( ~ sdtlseqdt0(smndt0(X0),X1)
| sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f3811,f211]) ).
fof(f3832,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) ),
inference(resolution,[],[f3824,f183]) ).
fof(f3843,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f3832]) ).
fof(f3849,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f3843,f211]) ).
fof(f3934,plain,
( ~ sdtlseqdt0(xR,xR)
| ~ aScalar0(xR)
| ~ spl2_101
| spl2_139 ),
inference(resolution,[],[f3754,f2685]) ).
fof(f3936,plain,
( ~ aScalar0(xR)
| ~ spl2_101
| spl2_139 ),
inference(forward_subsumption_resolution,[],[f3934,f183]) ).
fof(f3945,plain,
( $false
| ~ spl2_101
| spl2_139 ),
inference(forward_subsumption_resolution,[],[f3936,f151]) ).
fof(f3946,plain,
( ~ spl2_101
| spl2_139 ),
inference(avatar_contradiction_clause,[],[f3945]) ).
fof(f5528,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xC)
| ~ aScalar0(X0)
| ~ aScalar0(xC) )
| ~ spl2_177 ),
inference(superposition,[],[f3067,f198]) ).
fof(f5532,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xC)
| ~ aScalar0(X0) )
| ~ spl2_177 ),
inference(forward_subsumption_resolution,[],[f5528,f139]) ).
fof(f5544,plain,
( spl2_114
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f5532,f3066,f2246]) ).
fof(f5550,plain,
( ~ sdtlseqdt0(xG,sz0z00)
| ~ aScalar0(xG)
| spl2_176 ),
inference(resolution,[],[f3063,f3849]) ).
fof(f5553,plain,
( ~ sdtlseqdt0(xG,sz0z00)
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f5550,f147]) ).
fof(f5955,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| spl2_176 ),
inference(resolution,[],[f5553,f178]) ).
fof(f5958,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| spl2_19
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f5955,f693]) ).
fof(f5961,plain,
( ~ aScalar0(xG)
| spl2_19
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f5958,f206]) ).
fof(f5962,plain,
( $false
| spl2_19
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f5961,f147]) ).
fof(f5963,plain,
( spl2_19
| spl2_176 ),
inference(avatar_contradiction_clause,[],[f5962]) ).
fof(f5965,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(xG) )
| spl2_101 ),
inference(forward_subsumption_resolution,[],[f2199,f1656]) ).
fof(f5967,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xC))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(xG) )
| ~ spl2_19
| spl2_101 ),
inference(forward_subsumption_resolution,[],[f5965,f692]) ).
fof(f5969,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xC))
| ~ aScalar0(X0)
| ~ aScalar0(xG) )
| ~ spl2_19
| ~ spl2_71
| spl2_101 ),
inference(forward_subsumption_resolution,[],[f5967,f1354]) ).
fof(f5970,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xC))
| ~ aScalar0(X0) )
| ~ spl2_19
| ~ spl2_71
| spl2_101 ),
inference(forward_subsumption_resolution,[],[f5969,f147]) ).
fof(f5971,plain,
( spl2_168
| ~ spl2_19
| ~ spl2_71
| spl2_101 ),
inference(avatar_split_clause,[],[f5970,f1654,f1353,f691,f3015]) ).
fof(f6052,plain,
( xN = sdtasdt0(sz0z00,xS)
| ~ spl2_139
| ~ spl2_140 ),
inference(superposition,[],[f156,f3142]) ).
fof(f6064,plain,
( smndt0(xN) = sdtasdt0(smndt0(sz0z00),xS)
| ~ spl2_139
| ~ spl2_140 ),
inference(superposition,[],[f1112,f3142]) ).
fof(f6104,plain,
( smndt0(xN) = sdtasdt0(sz0z00,xS)
| ~ spl2_2
| ~ spl2_139
| ~ spl2_140 ),
inference(forward_demodulation,[],[f6064,f221]) ).
fof(f6116,plain,
( xN = smndt0(xN)
| ~ spl2_2
| ~ spl2_139
| ~ spl2_140 ),
inference(forward_demodulation,[],[f6104,f6052]) ).
fof(f7590,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(X0)
| ~ aScalar0(xC)
| ~ aScalar0(xG) )
| spl2_140 ),
inference(forward_subsumption_resolution,[],[f2202,f2689]) ).
fof(f7633,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xC)
| ~ aScalar0(X0)
| ~ aScalar0(xC)
| ~ aScalar0(xG) )
| ~ spl2_19
| spl2_140 ),
inference(forward_subsumption_resolution,[],[f7590,f692]) ).
fof(f7643,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xC)
| ~ aScalar0(X0)
| ~ aScalar0(xG) )
| ~ spl2_19
| spl2_140 ),
inference(forward_subsumption_resolution,[],[f7633,f139]) ).
fof(f7651,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xC)
| ~ aScalar0(X0) )
| ~ spl2_19
| spl2_140 ),
inference(forward_subsumption_resolution,[],[f7643,f147]) ).
fof(f7656,plain,
( spl2_114
| ~ spl2_19
| spl2_140 ),
inference(avatar_split_clause,[],[f7651,f2687,f691,f2246]) ).
fof(f9375,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),smndt0(smndt0(xN)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(smndt0(xR),xS))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(xS)
| ~ spl2_21
| ~ spl2_44 ),
inference(superposition,[],[f2003,f1165]) ).
fof(f9387,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),smndt0(smndt0(xN)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(smndt0(xR),xS))
| ~ aScalar0(xS)
| ~ spl2_21
| ~ spl2_42
| ~ spl2_44 ),
inference(forward_subsumption_resolution,[],[f9375,f1154]) ).
fof(f9400,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),smndt0(smndt0(xN)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(smndt0(xR),xS))
| ~ spl2_21
| ~ spl2_42
| ~ spl2_44 ),
inference(forward_subsumption_resolution,[],[f9387,f155]) ).
fof(f9409,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),smndt0(xN))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(smndt0(xR),xS))
| ~ spl2_2
| ~ spl2_21
| ~ spl2_42
| ~ spl2_44
| ~ spl2_139
| ~ spl2_140 ),
inference(forward_demodulation,[],[f9400,f6116]) ).
fof(f9412,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(smndt0(xR),xS))
| ~ spl2_2
| ~ spl2_21
| ~ spl2_42
| ~ spl2_44
| ~ spl2_139
| ~ spl2_140 ),
inference(forward_demodulation,[],[f9409,f6116]) ).
fof(f9415,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(smndt0(xR),xS))
| ~ spl2_2
| ~ spl2_21
| ~ spl2_42
| ~ spl2_44
| ~ spl2_139
| ~ spl2_140 ),
inference(forward_subsumption_resolution,[],[f9412,f159]) ).
fof(f9419,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),smndt0(xN))
| ~ spl2_2
| ~ spl2_21
| ~ spl2_42
| ~ spl2_44
| ~ spl2_139
| ~ spl2_140 ),
inference(forward_demodulation,[],[f9415,f1112]) ).
fof(f9421,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ spl2_2
| ~ spl2_21
| ~ spl2_42
| ~ spl2_44
| ~ spl2_139
| ~ spl2_140 ),
inference(forward_demodulation,[],[f9419,f6116]) ).
fof(f9424,plain,
( $false
| ~ spl2_2
| ~ spl2_21
| ~ spl2_42
| ~ spl2_44
| ~ spl2_139
| ~ spl2_140 ),
inference(forward_subsumption_resolution,[],[f9421,f159]) ).
fof(f9425,plain,
( ~ spl2_2
| ~ spl2_21
| ~ spl2_42
| ~ spl2_44
| ~ spl2_139
| ~ spl2_140 ),
inference(avatar_contradiction_clause,[],[f9424]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f222]) ).
cnf(s5,plain,
spl2_5,
inference(sat_conversion,[],[f257]) ).
cnf(s6,plain,
spl2_6,
inference(sat_conversion,[],[f261]) ).
cnf(s7,plain,
spl2_7,
inference(sat_conversion,[],[f265]) ).
cnf(s9,plain,
( ~ spl2_12
| ~ spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f349]) ).
cnf(s10,plain,
( ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(sat_conversion,[],[f354]) ).
cnf(s11,plain,
( ~ spl2_7
| spl2_13 ),
inference(sat_conversion,[],[f361]) ).
cnf(s15,plain,
( ~ spl2_7
| ~ spl2_14
| spl2_21
| ~ spl2_22 ),
inference(sat_conversion,[],[f719]) ).
cnf(s20,plain,
~ spl2_1,
inference(sat_conversion,[],[f798]) ).
cnf(s42,plain,
( ~ spl2_42
| spl2_44 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s110,plain,
spl2_42,
inference(sat_conversion,[],[f1604]) ).
cnf(s113,plain,
spl2_71,
inference(sat_conversion,[],[f1610]) ).
cnf(s117,plain,
( ~ spl2_2
| ~ spl2_5
| ~ spl2_6
| spl2_22
| ~ spl2_104
| ~ spl2_105 ),
inference(sat_conversion,[],[f1976]) ).
cnf(s118,plain,
spl2_104,
inference(sat_conversion,[],[f1983]) ).
cnf(s119,plain,
spl2_105,
inference(sat_conversion,[],[f1992]) ).
cnf(s127,plain,
~ spl2_114,
inference(sat_conversion,[],[f2278]) ).
cnf(s173,plain,
( spl2_140
| spl2_168
| ~ spl2_176 ),
inference(sat_conversion,[],[f3064]) ).
cnf(s174,plain,
( ~ spl2_71
| spl2_101
| ~ spl2_176
| spl2_177 ),
inference(sat_conversion,[],[f3068]) ).
cnf(s178,plain,
( ~ spl2_71
| ~ spl2_168 ),
inference(sat_conversion,[],[f3098]) ).
cnf(s226,plain,
( ~ spl2_101
| spl2_139 ),
inference(sat_conversion,[],[f3946]) ).
cnf(s297,plain,
( spl2_114
| ~ spl2_177 ),
inference(sat_conversion,[],[f5544]) ).
cnf(s309,plain,
( spl2_19
| spl2_176 ),
inference(sat_conversion,[],[f5963]) ).
cnf(s310,plain,
( ~ spl2_19
| ~ spl2_71
| spl2_101
| spl2_168 ),
inference(sat_conversion,[],[f5971]) ).
cnf(s393,plain,
( ~ spl2_19
| spl2_114
| spl2_140 ),
inference(sat_conversion,[],[f7656]) ).
cnf(s434,plain,
( ~ spl2_2
| ~ spl2_21
| ~ spl2_42
| ~ spl2_44
| ~ spl2_139
| ~ spl2_140 ),
inference(sat_conversion,[],[f9425]) ).
cnf(s475,plain,
~ spl2_177,
inference(rat,[],[s297,s127]) ).
cnf(s480,plain,
( ~ spl2_2
| ~ spl2_5
| ~ spl2_6
| spl2_22 ),
inference(rat,[],[s117,s119,s118]) ).
cnf(s482,plain,
~ spl2_168,
inference(rat,[],[s178,s113]) ).
cnf(s556,plain,
spl2_44,
inference(rat,[],[s42,s110]) ).
cnf(s577,plain,
spl2_13,
inference(rat,[],[s11,s7]) ).
cnf(s583,plain,
spl2_12,
inference(rat,[],[s10,s6,s5]) ).
cnf(s584,plain,
spl2_14,
inference(rat,[],[s9,s577,s583]) ).
cnf(s594,plain,
spl2_2,
inference(rat,[],[s1,s20]) ).
cnf(s595,plain,
spl2_22,
inference(rat,[],[s480,s5,s6,s594]) ).
cnf(s600,plain,
spl2_21,
inference(rat,[],[s15,s584,s7,s595]) ).
cnf(s601,plain,
~ spl2_176,
inference(rat,[],[s434,s226,s173,s174,s110,s556,s594,s600,s482,s113,s475]) ).
cnf(s603,plain,
spl2_19,
inference(rat,[],[s309,s601]) ).
cnf(s607,plain,
spl2_140,
inference(rat,[],[s393,s127,s603]) ).
cnf(s608,plain,
spl2_101,
inference(rat,[],[s310,s482,s113,s603]) ).
cnf(s611,plain,
~ spl2_139,
inference(rat,[],[s434,s600,s594,s556,s110,s607]) ).
cnf(s612,plain,
$false,
inference(rat,[],[s226,s611,s608]) ).
fof(f9426,plain,
$false,
inference(avatar_sat_refutation,[],[s612]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG058+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 23:02:49 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.32 Running first-order theorem proving
% 0.07/0.32 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.08/2.39 % (2862315)Detected formulas, will run a generic FOF schedule.
% 12.08/2.39 % (2862362)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3817198701:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.08/2.39 % (2862364)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=639014632:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.08/2.39 % (2862360)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=1505888902:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.08/2.39 % (2862363)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1182274194:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.08/2.39 % (2862361)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=629535319:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.08/2.39 % (2862359)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=3717261223:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.08/2.39 % (2862365)dis-21_1_sil=8000:lcm=predicate:random_seed=2657962209:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.08/2.39 % (2862362)Instruction limit reached!
% 12.08/2.39 % (2862362)------------------------------
% 12.08/2.39 % (2862362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.39 % (2862362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.39 % (2862362)CaDiCaL version: 2.1.3
% 12.08/2.39 % (2862362)Termination reason: Instruction limit
% 12.08/2.39 % (2862362)Termination phase: Saturation
% 12.08/2.39 % (2862362)Time elapsed: 0.052 s
% 12.08/2.39 % (2862362)Peak memory usage: 89 MB
% 12.08/2.39 % (2862362)Instructions burned: 109 (million)
% 12.08/2.39 % (2862364)Instruction limit reached!
% 12.08/2.39 % (2862364)------------------------------
% 12.08/2.39 % (2862364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.39 % (2862364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.39 % (2862364)CaDiCaL version: 2.1.3
% 12.08/2.39 % (2862364)Termination reason: Instruction limit
% 12.08/2.39 % (2862364)Termination phase: Saturation
% 12.08/2.39 % (2862364)Time elapsed: 0.052 s
% 12.08/2.39 % (2862364)Peak memory usage: 90 MB
% 12.08/2.39 % (2862364)Instructions burned: 141 (million)
% 12.08/2.39 % (2862363)Instruction limit reached!
% 12.08/2.39 % (2862363)------------------------------
% 12.08/2.39 % (2862363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.39 % (2862363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.39 % (2862363)CaDiCaL version: 2.1.3
% 12.08/2.39 % (2862363)Termination reason: Instruction limit
% 12.08/2.39 % (2862363)Termination phase: Saturation
% 12.08/2.39 % (2862363)Time elapsed: 0.054 s
% 12.08/2.39 % (2862363)Peak memory usage: 88 MB
% 12.08/2.39 % (2862363)Instructions burned: 120 (million)
% 12.08/2.39 % (2862365)Instruction limit reached!
% 12.08/2.39 % (2862365)------------------------------
% 12.08/2.39 % (2862365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.39 % (2862365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.39 % (2862365)CaDiCaL version: 2.1.3
% 12.08/2.39 % (2862365)Termination reason: Instruction limit
% 12.08/2.39 % (2862365)Termination phase: Saturation
% 12.08/2.39 % (2862365)Time elapsed: 0.052 s
% 12.08/2.39 % (2862365)Peak memory usage: 89 MB
% 12.08/2.39 % (2862365)Instructions burned: 131 (million)
% 12.08/2.39 % (2862379)lrs+10_1_sil=8000:sp=occurrence:random_seed=2695990412:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.08/2.39 % (2862380)lrs+10_1_sil=32000:urr=on:br=off:random_seed=394861501:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.08/2.39 % (2862381)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4022704225:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.08/2.39 % (2862382)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=1616973280:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.08/2.39 % (2862380)Instruction limit reached!
% 17.19/3.03 % (2862380)------------------------------
% 17.19/3.03 % (2862380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.03 % (2862380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.03 % (2862380)CaDiCaL version: 2.1.3
% 17.19/3.03 % (2862380)Termination reason: Instruction limit
% 17.19/3.03 % (2862380)Termination phase: Saturation
% 17.19/3.03 % (2862380)Time elapsed: 0.067 s
% 17.19/3.03 % (2862380)Peak memory usage: 91 MB
% 17.19/3.03 % (2862380)Instructions burned: 159 (million)
% 17.19/3.03 % (2862382)Instruction limit reached!
% 17.19/3.03 % (2862382)------------------------------
% 17.19/3.03 % (2862382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.03 % (2862382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.03 % (2862382)CaDiCaL version: 2.1.3
% 17.19/3.03 % (2862382)Termination reason: Instruction limit
% 17.19/3.03 % (2862382)Termination phase: Saturation
% 17.19/3.03 % (2862382)Time elapsed: 0.106 s
% 17.19/3.03 % (2862382)Peak memory usage: 94 MB
% 17.19/3.03 % (2862382)Instructions burned: 249 (million)
% 17.19/3.03 % (2862379)Instruction limit reached!
% 17.19/3.03 % (2862379)------------------------------
% 17.19/3.03 % (2862379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.03 % (2862379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.03 % (2862379)CaDiCaL version: 2.1.3
% 17.19/3.03 % (2862379)Termination reason: Instruction limit
% 17.19/3.03 % (2862379)Termination phase: Saturation
% 17.19/3.03 % (2862379)Time elapsed: 0.168 s
% 17.19/3.03 % (2862379)Peak memory usage: 93 MB
% 17.19/3.03 % (2862379)Instructions burned: 286 (million)
% 17.19/3.03 % (2862381)Instruction limit reached!
% 17.19/3.03 % (2862381)------------------------------
% 17.19/3.03 % (2862381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.03 % (2862381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.03 % (2862381)CaDiCaL version: 2.1.3
% 17.19/3.03 % (2862381)Termination reason: Instruction limit
% 17.19/3.03 % (2862381)Termination phase: Saturation
% 17.19/3.03 % (2862381)Time elapsed: 0.169 s
% 17.19/3.03 % (2862381)Peak memory usage: 94 MB
% 17.19/3.03 % (2862381)Instructions burned: 326 (million)
% 17.19/3.03 % (2862389)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1747589015:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 17.19/3.03 % (2862390)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2217536169:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 17.19/3.03 % (2862392)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2954106104:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 17.19/3.03 % (2862394)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1676767600:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 17.19/3.03 % (2862392)Instruction limit reached!
% 17.19/3.03 % (2862392)------------------------------
% 17.19/3.03 % (2862392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.03 % (2862392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.03 % (2862392)CaDiCaL version: 2.1.3
% 17.19/3.03 % (2862392)Termination reason: Instruction limit
% 17.19/3.03 % (2862392)Termination phase: Saturation
% 17.19/3.03 % (2862392)Time elapsed: 0.040 s
% 17.19/3.03 % (2862392)Peak memory usage: 91 MB
% 17.19/3.03 % (2862392)Instructions burned: 113 (million)
% 17.19/3.03 % (2862389)Instruction limit reached!
% 17.19/3.03 % (2862389)------------------------------
% 17.19/3.03 % (2862389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.03 % (2862389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.03 % (2862389)CaDiCaL version: 2.1.3
% 17.19/3.03 % (2862389)Termination reason: Instruction limit
% 17.19/3.03 % (2862389)Termination phase: Saturation
% 17.19/3.03 % (2862389)Time elapsed: 0.145 s
% 17.19/3.03 % (2862389)Peak memory usage: 90 MB
% 17.19/3.03 % (2862389)Instructions burned: 294 (million)
% 17.19/3.03 % (2862394)Instruction limit reached!
% 17.19/3.03 % (2862394)------------------------------
% 17.19/3.03 % (2862394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.03 % (2862394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.03 % (2862394)CaDiCaL version: 2.1.3
% 17.19/3.03 % (2862394)Termination reason: Instruction limit
% 17.19/3.03 % (2862394)Termination phase: Saturation
% 8.73/3.13 % (2862394)Time elapsed: 0.062 s
% 8.73/3.13 % (2862394)Peak memory usage: 89 MB
% 8.73/3.13 % (2862394)Instructions burned: 129 (million)
% 8.73/3.13 % (2862403)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1537254919:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.73/3.13 % (2862403)Refutation not found, incomplete strategy
% 8.73/3.13 % (2862403)------------------------------
% 8.73/3.13 % (2862403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/3.13 % (2862403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/3.13 % (2862403)CaDiCaL version: 2.1.3
% 8.73/3.13 % (2862403)Termination reason: Refutation not found, incomplete strategy
% 8.73/3.13 % (2862403)Time elapsed: 0.002 s
% 8.73/3.13 % (2862403)Peak memory usage: 88 MB
% 8.73/3.13 % (2862403)Instructions burned: 2 (million)
% 8.73/3.13 % (2862406)lrs+10_1_sil=8000:sp=occurrence:random_seed=4169183833:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.73/3.13 % (2862407)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1288513424:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.73/3.13 % (2862403)------------------------------
% 8.73/3.13 % (2862403)------------------------------
% 8.73/3.13 % (2862407)Instruction limit reached!
% 8.73/3.13 % (2862407)------------------------------
% 8.73/3.13 % (2862407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/3.13 % (2862407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/3.13 % (2862407)CaDiCaL version: 2.1.3
% 8.73/3.13 % (2862407)Termination reason: Instruction limit
% 8.73/3.13 % (2862407)Termination phase: Saturation
% 8.73/3.13 % (2862407)Time elapsed: 0.226 s
% 8.73/3.13 % (2862407)Peak memory usage: 94 MB
% 8.73/3.13 % (2862407)Instructions burned: 438 (million)
% 8.73/3.13 % (2862413)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1718480330:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.73/3.13 % (2862414)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3096907891:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 8.73/3.13 % (2862414)Instruction limit reached!
% 8.73/3.13 % (2862414)------------------------------
% 8.73/3.13 % (2862414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/3.13 % (2862414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/3.13 % (2862414)CaDiCaL version: 2.1.3
% 8.73/3.13 % (2862414)Termination reason: Instruction limit
% 8.73/3.13 % (2862414)Termination phase: Saturation
% 8.73/3.13 % (2862414)Time elapsed: 0.058 s
% 8.73/3.13 % (2862414)Peak memory usage: 91 MB
% 8.73/3.13 % (2862414)Instructions burned: 134 (million)
% 8.73/3.13 % (2862406)Instruction limit reached!
% 8.73/3.13 % (2862406)------------------------------
% 8.73/3.13 % (2862406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/3.13 % (2862406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/3.13 % (2862406)CaDiCaL version: 2.1.3
% 8.73/3.13 % (2862406)Termination reason: Instruction limit
% 8.73/3.13 % (2862406)Termination phase: Saturation
% 8.73/3.13 % (2862406)Time elapsed: 0.459 s
% 8.73/3.13 % (2862406)Peak memory usage: 103 MB
% 8.73/3.13 % (2862406)Instructions burned: 908 (million)
% 8.73/3.13 % (2862418)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3555487302:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 8.73/3.13 % (2862417)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2099461002:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 8.73/3.13 % (2862417)Instruction limit reached!
% 8.73/3.13 % (2862417)------------------------------
% 8.73/3.13 % (2862417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/3.13 % (2862417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/3.13 % (2862417)CaDiCaL version: 2.1.3
% 8.73/3.13 % (2862417)Termination reason: Instruction limit
% 8.73/3.13 % (2862417)Termination phase: Saturation
% 8.73/3.13 % (2862417)Time elapsed: 0.265 s
% 8.73/3.13 % (2862417)Peak memory usage: 92 MB
% 8.73/3.13 % (2862417)Instructions burned: 594 (million)
% 8.73/3.13 % (2862390)Instruction limit reached!
% 8.73/3.13 % (2862390)------------------------------
% 8.73/3.13 % (2862390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/3.13 % (2862390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/3.13 % (2862390)CaDiCaL version: 2.1.3
% 8.73/3.13 % (2862390)Termination reason: Instruction limit
% 8.73/3.13 % (2862390)Termination phase: Saturation
% 8.73/3.13 % (2862390)Time elapsed: 1.181 s
% 8.73/3.13 % (2862390)Peak memory usage: 143 MB
% 8.73/3.13 % (2862390)Instructions burned: 2351 (million)
% 8.73/3.13 % (2862425)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=567079937:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 8.73/3.13 % (2862426)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=837021365:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 8.73/3.13 % (2862425)Instruction limit reached!
% 8.73/3.13 % (2862425)------------------------------
% 8.73/3.13 % (2862425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/3.13 % (2862425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/3.13 % (2862425)CaDiCaL version: 2.1.3
% 8.73/3.13 % (2862425)Termination reason: Instruction limit
% 8.73/3.13 % (2862425)Termination phase: Saturation
% 8.73/3.13 % (2862425)Time elapsed: 0.061 s
% 8.73/3.13 % (2862425)Peak memory usage: 91 MB
% 8.73/3.13 % (2862425)Instructions burned: 125 (million)
% 8.73/3.13 % (2862426)Instruction limit reached!
% 8.73/3.13 % (2862426)------------------------------
% 8.73/3.13 % (2862426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/3.13 % (2862426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/3.13 % (2862426)CaDiCaL version: 2.1.3
% 8.73/3.13 % (2862426)Termination reason: Instruction limit
% 8.73/3.13 % (2862426)Termination phase: Saturation
% 8.73/3.13 % (2862426)Time elapsed: 0.065 s
% 8.73/3.13 % (2862426)Peak memory usage: 91 MB
% 8.73/3.13 % (2862426)Instructions burned: 137 (million)
% 8.73/3.13 % (2862430)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1843109650:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 8.73/3.13 % (2862429)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1253904281:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 8.73/3.13 % (2862429)Instruction limit reached!
% 8.73/3.13 % (2862429)------------------------------
% 8.73/3.13 % (2862429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/3.13 % (2862429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/3.13 % (2862429)CaDiCaL version: 2.1.3
% 8.73/3.13 % (2862429)Termination reason: Instruction limit
% 8.73/3.13 % (2862429)Termination phase: Saturation
% 8.73/3.13 % (2862429)Time elapsed: 0.066 s
% 8.73/3.13 % (2862429)Peak memory usage: 91 MB
% 8.73/3.13 % (2862429)Instructions burned: 141 (million)
% 8.73/3.13 % (2862430)Instruction limit reached!
% 8.73/3.13 % (2862430)------------------------------
% 8.73/3.13 % (2862430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/3.13 % (2862430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/3.13 % (2862430)CaDiCaL version: 2.1.3
% 8.73/3.13 % (2862430)Termination reason: Instruction limit
% 8.73/3.13 % (2862430)Termination phase: Saturation
% 8.73/3.13 % (2862430)Time elapsed: 0.181 s
% 8.73/3.13 % (2862430)Peak memory usage: 95 MB
% 8.73/3.13 % (2862430)Instructions burned: 433 (million)
% 8.73/3.13 % (2862433)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1521220007:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 8.73/3.13 % (2862413)First to succeed.
% 8.73/3.13 % (2862413)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2862315"
% 8.73/3.13 % (2862434)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=351733551:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 8.73/3.13 % (2862434)Instruction limit reached!
% 8.73/3.13 % (2862434)------------------------------
% 8.73/3.13 % (2862434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/3.13 % (2862434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/3.13 % (2862434)CaDiCaL version: 2.1.3
% 8.73/3.13 % (2862434)Termination reason: Instruction limit
% 8.73/3.13 % (2862434)Termination phase: Saturation
% 8.73/3.13 % (2862434)Time elapsed: 0.043 s
% 8.73/3.13 % (2862434)Peak memory usage: 93 MB
% 8.73/3.13 % (2862434)Instructions burned: 152 (million)
% 8.73/3.13 % (2862438)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3842184670:i=14155:bd=all_2975 on theBenchmark for (2975ds/14155Mi)
% 8.73/3.13 % (2862413)Refutation found. Thanks to Tanya!
% 8.73/3.13 % SZS status Theorem for theBenchmark
% 8.73/3.13 % SZS output start Proof for theBenchmark
% See solution above
% 18.08/3.24 % (2862413)------------------------------
% 18.08/3.24 % (2862413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.24 % (2862413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.24 % (2862413)CaDiCaL version: 2.1.3
% 18.08/3.24 % (2862413)Termination reason: Refutation
% 18.08/3.24 % (2862413)Time elapsed: 1.155 s
% 18.08/3.24 % (2862413)Peak memory usage: 139 MB
% 18.08/3.24 % (2862413)Instructions burned: 2044 (million)
% 18.08/3.24 % (2862413)------------------------------
% 18.08/3.24 % (2862413)------------------------------
% 18.08/3.24 % (2862315)Success in time 2.543 s
% 18.08/3.24 % Vampire exiting
%------------------------------------------------------------------------------