%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG058+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 : n010.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 18.94s 3.69s
% Output : Refutation 20.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 37
% Syntax : Number of formulae : 267 ( 41 unt; 18 def)
% Number of atoms : 963 ( 56 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1314 ( 618 ~; 614 |; 49 &)
% ( 18 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 19 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 245 ( 0 sgn 245 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(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(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(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(f87,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f90,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f91,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f90]) ).
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(ennf_transformation,[],[f24]) ).
fof(f93,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,[],[f92]) ).
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(ennf_transformation,[],[f23]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f97,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f96]) ).
fof(f100,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f101,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f102,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f101]) ).
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(f114,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(f115,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f116,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f115]) ).
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(ennf_transformation,[],[f17]) ).
fof(f120,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,[],[f119]) ).
fof(f121,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f149,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f155,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f157,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f158,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f159,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f161,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f166,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f60]) ).
fof(f181,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f184,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f185,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,[],[f93]) ).
fof(f186,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,[],[f95]) ).
fof(f187,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f189,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f190,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f200,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f203,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f204,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f205,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f206,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f207,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f209,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f211,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f212,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f213,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f215,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f217,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f222,definition,
( spl2_1
<=> ! [X0] : ~ aScalar0(X0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f223,plain,
( ! [X0] : ~ aScalar0(X0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,definition,
( spl2_2
<=> sz0z00 = smndt0(sz0z00) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f227,plain,
( sz0z00 = smndt0(sz0z00)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f204,f225,f222]) ).
fof(f230,definition,
( spl2_3
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f231,plain,
( ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f200,f230,f222]) ).
fof(f240,definition,
( spl2_5
<=> aScalar0(sdtasdt0(xS,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f241,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f242,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| spl2_5 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f244,definition,
( spl2_6
<=> aScalar0(sdtasdt0(xR,xR)) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f245,plain,
( aScalar0(sdtasdt0(xR,xR))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f246,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| spl2_6 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl2_7
<=> aScalar0(sdtasdt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f249,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f250,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_7 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f260,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| spl2_5 ),
inference(resolution,[],[f242,f190]) ).
fof(f261,plain,
( ~ aScalar0(xS)
| spl2_5 ),
inference(duplicate_literal_removal,[],[f260]) ).
fof(f262,plain,
( $false
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f261,f161]) ).
fof(f263,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f264,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| spl2_6 ),
inference(resolution,[],[f246,f190]) ).
fof(f265,plain,
( ~ aScalar0(xR)
| spl2_6 ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f266,plain,
( $false
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f265,f157]) ).
fof(f267,plain,
spl2_6,
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f268,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_7 ),
inference(resolution,[],[f250,f190]) ).
fof(f269,plain,
( ~ aScalar0(xP)
| spl2_7 ),
inference(duplicate_literal_removal,[],[f268]) ).
fof(f270,plain,
( $false
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f269,f159]) ).
fof(f271,plain,
spl2_7,
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f313,definition,
( spl2_10
<=> sdtlseqdt0(sz0z00,xP) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f314,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f315,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| spl2_10 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f341,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,[],[f187,f166]) ).
fof(f345,definition,
( spl2_12
<=> aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f347,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| spl2_12 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f349,definition,
( spl2_13
<=> aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f350,plain,
( aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f351,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| spl2_13 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f353,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(f354,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,[],[f353]) ).
fof(f355,plain,
( ~ spl2_12
| ~ spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f341,f353,f349,f345]) ).
fof(f357,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| spl2_12 ),
inference(resolution,[],[f347,f212]) ).
fof(f358,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| ~ spl2_6
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f357,f245]) ).
fof(f359,plain,
( $false
| ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f358,f241]) ).
fof(f360,plain,
( ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f361,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| spl2_13 ),
inference(resolution,[],[f351,f212]) ).
fof(f364,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_13 ),
inference(duplicate_literal_removal,[],[f361]) ).
fof(f366,plain,
( $false
| ~ spl2_7
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f364,f249]) ).
fof(f367,plain,
( ~ spl2_7
| spl2_13 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f434,plain,
( sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| spl2_10 ),
inference(resolution,[],[f315,f184]) ).
fof(f437,plain,
( sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(sz0z00)
| spl2_10 ),
inference(forward_subsumption_resolution,[],[f434,f159]) ).
fof(f439,plain,
( sdtlseqdt0(xP,sz0z00)
| spl2_10 ),
inference(forward_subsumption_resolution,[],[f437,f213]) ).
fof(f709,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,[],[f186,f207]) ).
fof(f710,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,[],[f709]) ).
fof(f714,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,[],[f710,f217]) ).
fof(f722,definition,
( spl2_22
<=> sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
fof(f723,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f724,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| spl2_22 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f732,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,[],[f714,f724]) ).
fof(f743,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,[],[f732,f245]) ).
fof(f753,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,[],[f743,f241]) ).
fof(f756,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xS,xS))
| ~ sdtlseqdt0(smndt0(X0),sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_5
| ~ spl2_6
| spl2_22 ),
inference(superposition,[],[f753,f205]) ).
fof(f759,plain,
( ! [X0] :
( ~ sdtlseqdt0(smndt0(X0),sdtasdt0(xR,xR))
| ~ sdtlseqdt0(X0,sdtasdt0(xS,xS))
| ~ aScalar0(X0) )
| ~ spl2_5
| ~ spl2_6
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f756,f217]) ).
fof(f799,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f223,f157]) ).
fof(f804,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f1093,plain,
( smndt0(xP) = sdtasdt0(smndt0(xE),xH)
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[],[f215,f158]) ).
fof(f1120,plain,
( smndt0(xP) = sdtasdt0(smndt0(xE),xH)
| ~ aScalar0(xH) ),
inference(forward_subsumption_resolution,[],[f1093,f149]) ).
fof(f1126,plain,
smndt0(xP) = sdtasdt0(smndt0(xE),xH),
inference(forward_subsumption_resolution,[],[f1120,f155]) ).
fof(f1226,plain,
( aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(xH) ),
inference(superposition,[],[f190,f1126]) ).
fof(f1253,plain,
( aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xE)) ),
inference(forward_subsumption_resolution,[],[f1226,f155]) ).
fof(f1258,definition,
( spl2_55
<=> aScalar0(smndt0(xE)) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
fof(f1260,plain,
( ~ aScalar0(smndt0(xE))
| spl2_55 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f1314,definition,
( spl2_68
<=> aScalar0(smndt0(xP)) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
fof(f1316,plain,
( aScalar0(smndt0(xP))
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1317,plain,
( ~ spl2_55
| spl2_68 ),
inference(avatar_split_clause,[],[f1253,f1314,f1258]) ).
fof(f1593,plain,
( ~ aScalar0(xE)
| spl2_55 ),
inference(resolution,[],[f217,f1260]) ).
fof(f1608,plain,
( $false
| spl2_55 ),
inference(forward_subsumption_resolution,[],[f1593,f149]) ).
fof(f1609,plain,
spl2_55,
inference(avatar_contradiction_clause,[],[f1608]) ).
fof(f1702,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,[],[f185,f209]) ).
fof(f1738,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,[],[f1702]) ).
fof(f1756,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,[],[f1738,f189]) ).
fof(f1763,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,[],[f1756,f213]) ).
fof(f1766,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_3 ),
inference(superposition,[],[f1763,f231]) ).
fof(f1784,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_3 ),
inference(duplicate_literal_removal,[],[f1766]) ).
fof(f2109,plain,
! [X2,X3,X0,X1,X4] :
( sdtlseqdt0(sdtpldt0(X3,X4),sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X4,X2)
| ~ aScalar0(X3)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(superposition,[],[f186,f203]) ).
fof(f2123,plain,
! [X2,X3,X0,X1,X4] :
( sdtlseqdt0(sdtpldt0(X3,X4),sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X4,X2)
| ~ aScalar0(X3)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f2109]) ).
fof(f2139,plain,
! [X2,X3,X0,X1,X4] :
( sdtlseqdt0(sdtpldt0(X3,X4),sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X4,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f2123,f212]) ).
fof(f2167,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz0z00))
| ~ sdtlseqdt0(X0,sdtpldt0(X2,X3))
| ~ sdtlseqdt0(X1,smndt0(X3))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X3))
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X3) ),
inference(superposition,[],[f2139,f207]) ).
fof(f2182,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz0z00))
| ~ sdtlseqdt0(X0,sdtpldt0(X2,X3))
| ~ sdtlseqdt0(X1,smndt0(X3))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X3))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(duplicate_literal_removal,[],[f2167]) ).
fof(f2200,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz0z00))
| ~ sdtlseqdt0(X0,sdtpldt0(X2,X3))
| ~ sdtlseqdt0(X1,smndt0(X3))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(forward_subsumption_resolution,[],[f2182,f217]) ).
fof(f2631,definition,
( spl2_145
<=> sdtlseqdt0(sz0z00,smndt0(xP)) ),
introduced(definition,[new_symbols(definition,[spl2_145])],[avatar_definition]) ).
fof(f2632,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| spl2_145 ),
inference(avatar_component_clause,[],[f2631]) ).
fof(f2819,definition,
( spl2_162
<=> sdtlseqdt0(sz0z00,sdtasdt0(xR,xR)) ),
introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).
fof(f2821,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
| spl2_162 ),
inference(avatar_component_clause,[],[f2819]) ).
fof(f2828,definition,
( spl2_164
<=> sdtlseqdt0(sz0z00,sdtasdt0(xS,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_164])],[avatar_definition]) ).
fof(f2829,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| ~ spl2_164 ),
inference(avatar_component_clause,[],[f2828]) ).
fof(f2830,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| spl2_164 ),
inference(avatar_component_clause,[],[f2828]) ).
fof(f2886,plain,
( ~ aScalar0(xS)
| spl2_164 ),
inference(resolution,[],[f2830,f181]) ).
fof(f2896,plain,
( $false
| spl2_164 ),
inference(forward_subsumption_resolution,[],[f2886,f161]) ).
fof(f2897,plain,
spl2_164,
inference(avatar_contradiction_clause,[],[f2896]) ).
fof(f3357,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| ~ aScalar0(sz0z00)
| ~ spl2_2
| ~ spl2_5
| ~ spl2_6
| spl2_22 ),
inference(superposition,[],[f759,f227]) ).
fof(f3360,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
| ~ aScalar0(sz0z00)
| ~ spl2_2
| ~ spl2_5
| ~ spl2_6
| spl2_22
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f3357,f2829]) ).
fof(f3364,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
| ~ spl2_2
| ~ spl2_5
| ~ spl2_6
| spl2_22
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f3360,f213]) ).
fof(f3366,plain,
( ~ spl2_162
| ~ spl2_2
| ~ spl2_5
| ~ spl2_6
| spl2_22
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f3364,f2828,f722,f244,f240,f225,f2819]) ).
fof(f3367,plain,
( ~ aScalar0(xR)
| spl2_162 ),
inference(resolution,[],[f2821,f181]) ).
fof(f3378,plain,
( $false
| spl2_162 ),
inference(forward_subsumption_resolution,[],[f3367,f157]) ).
fof(f3379,plain,
spl2_162,
inference(avatar_contradiction_clause,[],[f3378]) ).
fof(f3469,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X1,X2),X0)
| ~ sdtlseqdt0(X1,sdtpldt0(X0,X3))
| ~ sdtlseqdt0(X2,smndt0(X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X0) ),
inference(superposition,[],[f2200,f211]) ).
fof(f3470,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X0) ),
inference(superposition,[],[f186,f211]) ).
fof(f3471,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,[],[f186,f211]) ).
fof(f3496,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,[],[f3471]) ).
fof(f3497,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2) ),
inference(duplicate_literal_removal,[],[f3470]) ).
fof(f3498,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X1,X2),X0)
| ~ sdtlseqdt0(X1,sdtpldt0(X0,X3))
| ~ sdtlseqdt0(X2,smndt0(X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X3) ),
inference(duplicate_literal_removal,[],[f3469]) ).
fof(f3509,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,[],[f3496,f213]) ).
fof(f3510,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f3497,f213]) ).
fof(f3522,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0) ),
inference(superposition,[],[f3498,f211]) ).
fof(f3531,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(duplicate_literal_removal,[],[f3522]) ).
fof(f3544,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,sdtpldt0(X1,X2))
| sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f3531,f213]) ).
fof(f3583,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(X0),X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X0) ),
inference(superposition,[],[f3509,f206]) ).
fof(f3585,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(X0),X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f3583]) ).
fof(f3596,plain,
! [X0,X1] :
( ~ sdtlseqdt0(smndt0(X0),X1)
| sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f3585,f217]) ).
fof(f3623,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) ),
inference(resolution,[],[f3596,f189]) ).
fof(f3628,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f3623]) ).
fof(f3633,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(X0))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f3628,f217]) ).
fof(f3872,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) )
| ~ spl2_14 ),
inference(resolution,[],[f3510,f354]) ).
fof(f3907,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) )
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f3872,f212]) ).
fof(f3919,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0) )
| ~ spl2_13
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f3907,f350]) ).
fof(f3976,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)
| ~ aScalar0(X0) )
| ~ spl2_13
| ~ spl2_14 ),
inference(superposition,[],[f3919,f207]) ).
fof(f3987,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0) )
| ~ spl2_13
| ~ spl2_14 ),
inference(duplicate_literal_removal,[],[f3976]) ).
fof(f3999,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0) )
| ~ spl2_13
| ~ spl2_14
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f3987,f723]) ).
fof(f4008,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X0)) )
| ~ spl2_13
| ~ spl2_14
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f3999,f217]) ).
fof(f5618,plain,
! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(resolution,[],[f3544,f189]) ).
fof(f5658,plain,
! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f5618]) ).
fof(f5676,plain,
! [X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f5658,f212]) ).
fof(f5686,definition,
( spl2_269
<=> sdtlseqdt0(sz0z00,smndt0(sdtasdt0(xP,xP))) ),
introduced(definition,[new_symbols(definition,[spl2_269])],[avatar_definition]) ).
fof(f5687,plain,
( sdtlseqdt0(sz0z00,smndt0(sdtasdt0(xP,xP)))
| ~ spl2_269 ),
inference(avatar_component_clause,[],[f5686]) ).
fof(f5688,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(sdtasdt0(xP,xP)))
| spl2_269 ),
inference(avatar_component_clause,[],[f5686]) ).
fof(f5700,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(smndt0(xP),xP))
| ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_269 ),
inference(superposition,[],[f5688,f215]) ).
fof(f5703,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(smndt0(xP),xP))
| ~ aScalar0(xP)
| spl2_269 ),
inference(duplicate_literal_removal,[],[f5700]) ).
fof(f5705,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(smndt0(xP),xP))
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f5703,f159]) ).
fof(f5733,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(sdtasdt0(xP,xP)))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtasdt0(xP,xP)))
| ~ spl2_13
| ~ spl2_14
| ~ spl2_22 ),
inference(resolution,[],[f5676,f4008]) ).
fof(f5766,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(sdtasdt0(xP,xP)))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ spl2_13
| ~ spl2_14
| ~ spl2_22 ),
inference(duplicate_literal_removal,[],[f5733]) ).
fof(f7411,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xP)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(X0)
| ~ aScalar0(xP)
| ~ aScalar0(smndt0(xP)) )
| ~ spl2_3
| spl2_269 ),
inference(resolution,[],[f5705,f1784]) ).
fof(f7413,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(xP) )
| spl2_269 ),
inference(resolution,[],[f5705,f1763]) ).
fof(f7422,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xP)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP)) )
| ~ spl2_3
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f7411,f159]) ).
fof(f7426,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xP)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_68
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f7422,f1316]) ).
fof(f7432,definition,
( spl2_325
<=> ! [X0] :
( ~ sdtlseqdt0(X0,xP)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_325])],[avatar_definition]) ).
fof(f7433,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xP)
| ~ aScalar0(X0) )
| ~ spl2_325 ),
inference(avatar_component_clause,[],[f7432]) ).
fof(f7434,plain,
( ~ spl2_145
| spl2_325
| ~ spl2_3
| ~ spl2_68
| spl2_269 ),
inference(avatar_split_clause,[],[f7426,f5686,f1314,f230,f7432,f2631]) ).
fof(f7435,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(xP)
| spl2_145 ),
inference(resolution,[],[f2632,f3633]) ).
fof(f7442,plain,
( ~ aScalar0(xP)
| spl2_10
| spl2_145 ),
inference(forward_subsumption_resolution,[],[f7435,f439]) ).
fof(f7445,plain,
( $false
| spl2_10
| spl2_145 ),
inference(forward_subsumption_resolution,[],[f7442,f159]) ).
fof(f7446,plain,
( spl2_10
| spl2_145 ),
inference(avatar_contradiction_clause,[],[f7445]) ).
fof(f7454,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xP))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(xP) )
| ~ spl2_10
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f7413,f314]) ).
fof(f7463,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xP))
| ~ aScalar0(X0)
| ~ aScalar0(xP) )
| ~ spl2_10
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f7454,f217]) ).
fof(f7470,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(xP))
| ~ aScalar0(X0) )
| ~ spl2_10
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f7463,f159]) ).
fof(f7488,plain,
( ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xP))
| ~ spl2_10
| spl2_269 ),
inference(resolution,[],[f7470,f189]) ).
fof(f7499,plain,
( ~ aScalar0(smndt0(xP))
| ~ spl2_10
| spl2_269 ),
inference(duplicate_literal_removal,[],[f7488]) ).
fof(f7504,plain,
( $false
| ~ spl2_10
| ~ spl2_68
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f7499,f1316]) ).
fof(f7505,plain,
( ~ spl2_10
| ~ spl2_68
| spl2_269 ),
inference(avatar_contradiction_clause,[],[f7504]) ).
fof(f7508,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ spl2_13
| ~ spl2_14
| ~ spl2_22
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f5766,f5687]) ).
fof(f7511,plain,
( $false
| ~ spl2_7
| ~ spl2_13
| ~ spl2_14
| ~ spl2_22
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f7508,f249]) ).
fof(f7512,plain,
( ~ spl2_7
| ~ spl2_13
| ~ spl2_14
| ~ spl2_22
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f7511]) ).
fof(f7689,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ spl2_325 ),
inference(resolution,[],[f7433,f189]) ).
fof(f7699,plain,
( ~ aScalar0(xP)
| ~ spl2_325 ),
inference(duplicate_literal_removal,[],[f7689]) ).
fof(f7703,plain,
( $false
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f7699,f159]) ).
fof(f7704,plain,
~ spl2_325,
inference(avatar_contradiction_clause,[],[f7703]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f228]) ).
cnf(s2,plain,
( spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f232]) ).
cnf(s5,plain,
spl2_5,
inference(sat_conversion,[],[f263]) ).
cnf(s6,plain,
spl2_6,
inference(sat_conversion,[],[f267]) ).
cnf(s7,plain,
spl2_7,
inference(sat_conversion,[],[f271]) ).
cnf(s9,plain,
( ~ spl2_12
| ~ spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f355]) ).
cnf(s10,plain,
( ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(sat_conversion,[],[f360]) ).
cnf(s11,plain,
( ~ spl2_7
| spl2_13 ),
inference(sat_conversion,[],[f367]) ).
cnf(s20,plain,
~ spl2_1,
inference(sat_conversion,[],[f804]) ).
cnf(s69,plain,
( ~ spl2_55
| spl2_68 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s111,plain,
spl2_55,
inference(sat_conversion,[],[f1609]) ).
cnf(s173,plain,
spl2_164,
inference(sat_conversion,[],[f2897]) ).
cnf(s204,plain,
( ~ spl2_2
| ~ spl2_5
| ~ spl2_6
| spl2_22
| ~ spl2_162
| ~ spl2_164 ),
inference(sat_conversion,[],[f3366]) ).
cnf(s206,plain,
spl2_162,
inference(sat_conversion,[],[f3379]) ).
cnf(s394,plain,
( ~ spl2_3
| ~ spl2_68
| ~ spl2_145
| spl2_269
| spl2_325 ),
inference(sat_conversion,[],[f7434]) ).
cnf(s395,plain,
( spl2_10
| spl2_145 ),
inference(sat_conversion,[],[f7446]) ).
cnf(s399,plain,
( ~ spl2_10
| ~ spl2_68
| spl2_269 ),
inference(sat_conversion,[],[f7505]) ).
cnf(s400,plain,
( ~ spl2_7
| ~ spl2_13
| ~ spl2_14
| ~ spl2_22
| ~ spl2_269 ),
inference(sat_conversion,[],[f7512]) ).
cnf(s419,plain,
~ spl2_325,
inference(sat_conversion,[],[f7704]) ).
cnf(s420,plain,
( ~ spl2_3
| ~ spl2_68
| ~ spl2_145
| spl2_269 ),
inference(rat,[],[s394,s419]) ).
cnf(s453,plain,
( ~ spl2_2
| ~ spl2_5
| ~ spl2_6
| spl2_22
| ~ spl2_164 ),
inference(rat,[],[s204,s206]) ).
cnf(s522,plain,
spl2_68,
inference(rat,[],[s69,s111]) ).
cnf(s570,plain,
spl2_13,
inference(rat,[],[s11,s7]) ).
cnf(s575,plain,
spl2_12,
inference(rat,[],[s10,s6,s5]) ).
cnf(s577,plain,
spl2_14,
inference(rat,[],[s9,s570,s575]) ).
cnf(s581,plain,
spl2_3,
inference(rat,[],[s2,s20]) ).
cnf(s591,plain,
spl2_2,
inference(rat,[],[s1,s20]) ).
cnf(s592,plain,
spl2_22,
inference(rat,[],[s453,s173,s5,s6,s591]) ).
cnf(s594,plain,
~ spl2_269,
inference(rat,[],[s400,s577,s570,s7,s592]) ).
cnf(s601,plain,
~ spl2_10,
inference(rat,[],[s399,s522,s594]) ).
cnf(s602,plain,
~ spl2_145,
inference(rat,[],[s420,s581,s522,s594]) ).
cnf(s606,plain,
$false,
inference(rat,[],[s395,s602,s601]) ).
fof(f7706,plain,
$false,
inference(avatar_sat_refutation,[],[s606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG058+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n010.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 23:04:17 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.18/2.92 % (1408121)Detected formulas, will run a generic FOF schedule.
% 13.18/2.92 % (1408127)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=2965107492:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.18/2.92 % (1408132)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2612122838:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.18/2.92 % (1408130)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=465307399:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.18/2.92 % (1408131)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=376277074:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.18/2.92 % (1408133)dis-21_1_sil=8000:lcm=predicate:random_seed=1996479593: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)
% 13.18/2.92 % (1408129)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=871390838:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.18/2.92 % (1408128)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=2459452080:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.18/2.92 % (1408133)Instruction limit reached!
% 13.18/2.92 % (1408133)------------------------------
% 13.18/2.92 % (1408133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/2.92 % (1408133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.92 % (1408133)CaDiCaL version: 2.1.3
% 13.18/2.92 % (1408133)Termination reason: Instruction limit
% 13.18/2.92 % (1408133)Termination phase: Saturation
% 13.18/2.92 % (1408133)Time elapsed: 0.058 s
% 13.18/2.92 % (1408133)Peak memory usage: 89 MB
% 13.18/2.92 % (1408133)Instructions burned: 130 (million)
% 13.18/2.92 % (1408130)Instruction limit reached!
% 13.18/2.92 % (1408130)------------------------------
% 13.18/2.92 % (1408130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/2.92 % (1408130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.92 % (1408130)CaDiCaL version: 2.1.3
% 13.18/2.92 % (1408130)Termination reason: Instruction limit
% 13.18/2.92 % (1408130)Termination phase: Saturation
% 13.18/2.92 % (1408130)Time elapsed: 0.062 s
% 13.18/2.92 % (1408130)Peak memory usage: 89 MB
% 13.18/2.92 % (1408130)Instructions burned: 109 (million)
% 13.18/2.92 % (1408131)Instruction limit reached!
% 13.18/2.92 % (1408131)------------------------------
% 13.18/2.92 % (1408131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/2.92 % (1408131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.92 % (1408131)CaDiCaL version: 2.1.3
% 13.18/2.92 % (1408131)Termination reason: Instruction limit
% 13.18/2.92 % (1408131)Termination phase: Saturation
% 13.18/2.92 % (1408131)Time elapsed: 0.068 s
% 13.18/2.92 % (1408131)Peak memory usage: 88 MB
% 13.18/2.92 % (1408131)Instructions burned: 120 (million)
% 13.18/2.92 % (1408132)Instruction limit reached!
% 13.18/2.92 % (1408132)------------------------------
% 13.18/2.92 % (1408132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/2.92 % (1408132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.92 % (1408132)CaDiCaL version: 2.1.3
% 13.18/2.92 % (1408132)Termination reason: Instruction limit
% 13.18/2.92 % (1408132)Termination phase: Saturation
% 13.18/2.92 % (1408132)Time elapsed: 0.089 s
% 13.18/2.92 % (1408132)Peak memory usage: 90 MB
% 13.18/2.92 % (1408132)Instructions burned: 139 (million)
% 13.18/2.92 % (1408141)lrs+10_1_sil=8000:sp=occurrence:random_seed=2365583514:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.18/2.92 % (1408142)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3182277814:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.18/2.92 % (1408143)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2864879677:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.18/2.92 % (1408144)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=2201649903:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.18/2.92 % (1408142)Instruction limit reached!
% 18.94/3.69 % (1408142)------------------------------
% 18.94/3.69 % (1408142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408142)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408142)Termination reason: Instruction limit
% 18.94/3.69 % (1408142)Termination phase: Saturation
% 18.94/3.69 % (1408142)Time elapsed: 0.073 s
% 18.94/3.69 % (1408142)Peak memory usage: 91 MB
% 18.94/3.69 % (1408142)Instructions burned: 158 (million)
% 18.94/3.69 % (1408144)Instruction limit reached!
% 18.94/3.69 % (1408144)------------------------------
% 18.94/3.69 % (1408144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408144)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408144)Termination reason: Instruction limit
% 18.94/3.69 % (1408144)Termination phase: Saturation
% 18.94/3.69 % (1408144)Time elapsed: 0.111 s
% 18.94/3.69 % (1408144)Peak memory usage: 94 MB
% 18.94/3.69 % (1408144)Instructions burned: 249 (million)
% 18.94/3.69 % (1408141)Instruction limit reached!
% 18.94/3.69 % (1408141)------------------------------
% 18.94/3.69 % (1408141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408141)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408141)Termination reason: Instruction limit
% 18.94/3.69 % (1408141)Termination phase: Saturation
% 18.94/3.69 % (1408141)Time elapsed: 0.175 s
% 18.94/3.69 % (1408141)Peak memory usage: 93 MB
% 18.94/3.69 % (1408141)Instructions burned: 287 (million)
% 18.94/3.69 % (1408143)Instruction limit reached!
% 18.94/3.69 % (1408143)------------------------------
% 18.94/3.69 % (1408143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408143)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408143)Termination reason: Instruction limit
% 18.94/3.69 % (1408143)Termination phase: Saturation
% 18.94/3.69 % (1408143)Time elapsed: 0.186 s
% 18.94/3.69 % (1408143)Peak memory usage: 94 MB
% 18.94/3.69 % (1408143)Instructions burned: 326 (million)
% 18.94/3.69 % (1408149)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1549222680:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.94/3.69 % (1408150)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3570031818:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 18.94/3.69 % (1408151)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=408961702:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.94/3.69 % (1408152)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2834922395:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.94/3.69 % (1408149)Instruction limit reached!
% 18.94/3.69 % (1408149)------------------------------
% 18.94/3.69 % (1408149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408149)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408149)Termination reason: Instruction limit
% 18.94/3.69 % (1408149)Termination phase: Saturation
% 18.94/3.69 % (1408149)Time elapsed: 0.169 s
% 18.94/3.69 % (1408149)Peak memory usage: 90 MB
% 18.94/3.69 % (1408149)Instructions burned: 295 (million)
% 18.94/3.69 % (1408151)Instruction limit reached!
% 18.94/3.69 % (1408151)------------------------------
% 18.94/3.69 % (1408151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408151)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408151)Termination reason: Instruction limit
% 18.94/3.69 % (1408151)Termination phase: Saturation
% 18.94/3.69 % (1408151)Time elapsed: 0.073 s
% 18.94/3.69 % (1408151)Peak memory usage: 91 MB
% 18.94/3.69 % (1408151)Instructions burned: 114 (million)
% 18.94/3.69 % (1408152)Instruction limit reached!
% 18.94/3.69 % (1408152)------------------------------
% 18.94/3.69 % (1408152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408152)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408152)Termination reason: Instruction limit
% 18.94/3.69 % (1408152)Termination phase: Saturation
% 18.94/3.69 % (1408152)Time elapsed: 0.066 s
% 18.94/3.69 % (1408152)Peak memory usage: 89 MB
% 18.94/3.69 % (1408152)Instructions burned: 129 (million)
% 18.94/3.69 % (1408157)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=507658667:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 18.94/3.69 % (1408157)Refutation not found, incomplete strategy
% 18.94/3.69 % (1408157)------------------------------
% 18.94/3.69 % (1408157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408157)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408157)Termination reason: Refutation not found, incomplete strategy
% 18.94/3.69 % (1408157)Time elapsed: 0.003 s
% 18.94/3.69 % (1408157)Peak memory usage: 88 MB
% 18.94/3.69 % (1408157)Instructions burned: 2 (million)
% 18.94/3.69 % (1408158)lrs+10_1_sil=8000:sp=occurrence:random_seed=1971718228:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 18.94/3.69 % (1408159)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1723876674:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 18.94/3.69 % (1408157)------------------------------
% 18.94/3.69 % (1408157)------------------------------
% 18.94/3.69 % (1408159)Instruction limit reached!
% 18.94/3.69 % (1408159)------------------------------
% 18.94/3.69 % (1408159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408159)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408159)Termination reason: Instruction limit
% 18.94/3.69 % (1408159)Termination phase: Saturation
% 18.94/3.69 % (1408159)Time elapsed: 0.242 s
% 18.94/3.69 % (1408159)Peak memory usage: 94 MB
% 18.94/3.69 % (1408159)Instructions burned: 438 (million)
% 18.94/3.69 % (1408163)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=661695714:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 18.94/3.69 % (1408164)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=137742314:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 18.94/3.69 % (1408164)Instruction limit reached!
% 18.94/3.69 % (1408164)------------------------------
% 18.94/3.69 % (1408164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408164)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408164)Termination reason: Instruction limit
% 18.94/3.69 % (1408164)Termination phase: Saturation
% 18.94/3.69 % (1408164)Time elapsed: 0.058 s
% 18.94/3.69 % (1408164)Peak memory usage: 91 MB
% 18.94/3.69 % (1408164)Instructions burned: 134 (million)
% 18.94/3.69 % (1408158)Instruction limit reached!
% 18.94/3.69 % (1408158)------------------------------
% 18.94/3.69 % (1408158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408158)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408158)Termination reason: Instruction limit
% 18.94/3.69 % (1408158)Termination phase: Saturation
% 18.94/3.69 % (1408158)Time elapsed: 0.501 s
% 18.94/3.69 % (1408158)Peak memory usage: 103 MB
% 18.94/3.69 % (1408158)Instructions burned: 908 (million)
% 18.94/3.69 % (1408167)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3872099840:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 18.94/3.69 % (1408168)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4110888014:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 18.94/3.69 % (1408167)Instruction limit reached!
% 18.94/3.69 % (1408167)------------------------------
% 18.94/3.69 % (1408167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408167)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408167)Termination reason: Instruction limit
% 18.94/3.69 % (1408167)Termination phase: Saturation
% 18.94/3.69 % (1408167)Time elapsed: 0.290 s
% 18.94/3.69 % (1408167)Peak memory usage: 92 MB
% 18.94/3.69 % (1408167)Instructions burned: 594 (million)
% 18.94/3.69 % (1408171)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=4000849960:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 18.94/3.69 % (1408171)Instruction limit reached!
% 18.94/3.69 % (1408171)------------------------------
% 18.94/3.69 % (1408171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408171)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408171)Termination reason: Instruction limit
% 18.94/3.69 % (1408171)Termination phase: Saturation
% 18.94/3.69 % (1408171)Time elapsed: 0.066 s
% 18.94/3.69 % (1408171)Peak memory usage: 90 MB
% 18.94/3.69 % (1408171)Instructions burned: 126 (million)
% 18.94/3.69 % (1408150)Instruction limit reached!
% 18.94/3.69 % (1408150)------------------------------
% 18.94/3.69 % (1408150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408150)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408150)Termination reason: Instruction limit
% 18.94/3.69 % (1408150)Termination phase: Saturation
% 18.94/3.69 % (1408150)Time elapsed: 1.443 s
% 18.94/3.69 % (1408150)Peak memory usage: 143 MB
% 18.94/3.69 % (1408150)Instructions burned: 2352 (million)
% 18.94/3.69 % (1408173)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=388990143:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 18.94/3.69 % (1408174)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2824064865:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 18.94/3.69 % (1408173)Instruction limit reached!
% 18.94/3.69 % (1408173)------------------------------
% 18.94/3.69 % (1408173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408173)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408173)Termination reason: Instruction limit
% 18.94/3.69 % (1408173)Termination phase: Saturation
% 18.94/3.69 % (1408173)Time elapsed: 0.070 s
% 18.94/3.69 % (1408173)Peak memory usage: 91 MB
% 18.94/3.69 % (1408173)Instructions burned: 136 (million)
% 18.94/3.69 % (1408174)Instruction limit reached!
% 18.94/3.69 % (1408174)------------------------------
% 18.94/3.69 % (1408174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408174)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408174)Termination reason: Instruction limit
% 18.94/3.69 % (1408174)Termination phase: Saturation
% 18.94/3.69 % (1408174)Time elapsed: 0.072 s
% 18.94/3.69 % (1408174)Peak memory usage: 92 MB
% 18.94/3.69 % (1408174)Instructions burned: 141 (million)
% 18.94/3.69 % (1408177)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3985233012:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 18.94/3.69 % (1408178)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=1387627087:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 18.94/3.69 % (1408163)First to succeed.
% 18.94/3.69 % (1408163)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1408121"
% 18.94/3.69 % (1408177)Instruction limit reached!
% 18.94/3.69 % (1408177)------------------------------
% 18.94/3.69 % (1408177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.69 % (1408177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.69 % (1408177)CaDiCaL version: 2.1.3
% 18.94/3.69 % (1408177)Termination reason: Instruction limit
% 18.94/3.69 % (1408177)Termination phase: Saturation
% 18.94/3.69 % (1408177)Time elapsed: 0.235 s
% 18.94/3.69 % (1408177)Peak memory usage: 96 MB
% 18.94/3.69 % (1408177)Instructions burned: 431 (million)
% 18.94/3.69 % (1408163)Refutation found. Thanks to Tanya!
% 18.94/3.69 % SZS status Theorem for theBenchmark
% 18.94/3.69 % SZS output start Proof for theBenchmark
% See solution above
% 20.47/3.89 % (1408163)------------------------------
% 20.47/3.89 % (1408163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.47/3.89 % (1408163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.47/3.89 % (1408163)CaDiCaL version: 2.1.3
% 20.47/3.89 % (1408163)Termination reason: Refutation
% 20.47/3.89 % (1408163)Time elapsed: 1.232 s
% 20.47/3.89 % (1408163)Peak memory usage: 138 MB
% 20.47/3.89 % (1408163)Instructions burned: 1864 (million)
% 20.47/3.89 % (1408163)------------------------------
% 20.47/3.89 % (1408163)------------------------------
% 20.47/3.89 % (1408121)Success in time 2.813 s
% 20.47/3.89 % Vampire exiting
%------------------------------------------------------------------------------