%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG063+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:35:21 PM UTC 2026
% Result : Theorem 16.24s 3.43s
% Output : Refutation 17.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 34
% Syntax : Number of formulae : 209 ( 42 unt; 23 def)
% Number of atoms : 624 ( 116 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 773 ( 358 ~; 355 |; 32 &)
% ( 23 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 24 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 114 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f58,axiom,
( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).
fof(f61,axiom,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2262) ).
fof(f62,conjecture,
sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f63,negated_conjecture,
sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f69,plain,
sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN),
inference(flattening,[],[f63]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f77,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f79,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f81,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(f82,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(f83,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,[],[f82]) ).
fof(f137,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f138,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f139,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f141,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f142,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f143,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f146,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f147,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f150,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f151,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f206,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f210,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f212,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f215,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f58]) ).
fof(f220,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(cnf_transformation,[],[f61]) ).
fof(f221,plain,
sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN),
inference(cnf_transformation,[],[f69]) ).
fof(f225,plain,
! [X2] :
( ~ aScalar0(X2)
| sP2 ),
inference(cnf_transformation,[],[f225_D]) ).
fof(f225_D,definition,
( ! [X2] : ~ aScalar0(X2)
<=> ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[general_splitting_component_introduction]) ).
fof(f226,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sP2 ),
inference(general_splitting,[],[f150,f225_D]) ).
fof(f230,definition,
( spl4_1
<=> sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f232,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN)
| spl4_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f221,f230]) ).
fof(f255,definition,
( spl4_3
<=> aScalar0(xN) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f257,plain,
( aScalar0(xN)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
spl4_3,
inference(avatar_split_clause,[],[f212,f255]) ).
fof(f263,plain,
( aScalar0(smndt0(xN))
| ~ spl4_3 ),
inference(resolution,[],[f257,f139]) ).
fof(f265,plain,
( xN = smndt0(smndt0(xN))
| ~ spl4_3 ),
inference(resolution,[],[f257,f141]) ).
fof(f266,plain,
( sz0z00 = sdtpldt0(smndt0(xN),xN)
| ~ spl4_3 ),
inference(resolution,[],[f257,f142]) ).
fof(f317,plain,
( sP2
| ~ spl4_3 ),
inference(resolution,[],[f257,f225]) ).
fof(f328,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl4_3 ),
inference(backward_subsumption_resolution,[],[f226,f317]) ).
fof(f334,definition,
( spl4_5
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f335,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f336,plain,
( spl4_5
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f328,f255,f334]) ).
fof(f368,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X1,sdtpldt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl4_5 ),
inference(superposition,[],[f151,f335]) ).
fof(f374,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(X1,sdtpldt0(X2,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(X1,X2)) )
| ~ spl4_5 ),
inference(superposition,[],[f151,f335]) ).
fof(f384,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(X1,sdtpldt0(X2,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(X1,X2)) )
| ~ spl4_5 ),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f390,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X1,sdtpldt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl4_5 ),
inference(duplicate_literal_removal,[],[f368]) ).
fof(f413,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(X1,sdtpldt0(X2,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0) )
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f384,f137]) ).
fof(f511,definition,
( spl4_8
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X1,sdtpldt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f512,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X1,sdtpldt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f513,plain,
( spl4_8
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f390,f334,f511]) ).
fof(f517,plain,
( ! [X0,X1] :
( sdtpldt0(smndt0(X0),sdtpldt0(X0,X1)) = sdtpldt0(sz0z00,X1)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl4_8 ),
inference(superposition,[],[f512,f143]) ).
fof(f572,plain,
( ! [X0,X1] :
( sdtpldt0(smndt0(X0),sdtpldt0(X0,X1)) = sdtpldt0(sz0z00,X1)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl4_8 ),
inference(duplicate_literal_removal,[],[f517]) ).
fof(f604,plain,
( ! [X0,X1] :
( sdtpldt0(smndt0(X0),sdtpldt0(X0,X1)) = sdtpldt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f572,f139]) ).
fof(f615,definition,
( spl4_9
<=> sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f617,plain,
( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f618,plain,
spl4_9,
inference(avatar_split_clause,[],[f215,f615]) ).
fof(f619,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xS))
| ~ spl4_9 ),
inference(superposition,[],[f138,f617]) ).
fof(f651,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS))
| ~ spl4_9 ),
inference(duplicate_literal_removal,[],[f619]) ).
fof(f653,definition,
( spl4_10
<=> aScalar0(xR) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f655,plain,
( aScalar0(xR)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f656,plain,
spl4_10,
inference(avatar_split_clause,[],[f206,f653]) ).
fof(f918,definition,
( spl4_12
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(X1,sdtpldt0(X2,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f919,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(X1,sdtpldt0(X2,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0) )
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f920,plain,
( spl4_12
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f413,f334,f918]) ).
fof(f922,definition,
( spl4_13
<=> sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
fof(f924,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN))
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f925,plain,
spl4_13,
inference(avatar_split_clause,[],[f220,f922]) ).
fof(f939,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),X0) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sdtpldt0(smndt0(xN),X0))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(X0) )
| ~ spl4_13 ),
inference(superposition,[],[f151,f924]) ).
fof(f956,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),X0) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sdtpldt0(smndt0(xN),X0))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ aScalar0(X0) )
| ~ spl4_3
| ~ spl4_13 ),
inference(forward_subsumption_resolution,[],[f939,f263]) ).
fof(f969,definition,
( spl4_14
<=> aScalar0(xS) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f971,plain,
( aScalar0(xS)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f972,plain,
spl4_14,
inference(avatar_split_clause,[],[f210,f969]) ).
fof(f977,plain,
( aScalar0(smndt0(xS))
| ~ spl4_14 ),
inference(resolution,[],[f971,f139]) ).
fof(f1048,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ spl4_9
| ~ spl4_14 ),
inference(backward_subsumption_resolution,[],[f651,f977]) ).
fof(f1055,definition,
( spl4_15
<=> aScalar0(sdtasdt0(xR,xR)) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f1056,plain,
( aScalar0(sdtasdt0(xR,xR))
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1057,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| spl4_15 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1063,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| spl4_15 ),
inference(resolution,[],[f1057,f138]) ).
fof(f1064,plain,
( ~ aScalar0(xR)
| spl4_15 ),
inference(duplicate_literal_removal,[],[f1063]) ).
fof(f1065,plain,
( $false
| ~ spl4_10
| spl4_15 ),
inference(forward_subsumption_resolution,[],[f1064,f655]) ).
fof(f1066,plain,
( ~ spl4_10
| spl4_15 ),
inference(avatar_contradiction_clause,[],[f1065]) ).
fof(f1420,plain,
( ! [X0,X1] :
( sdtpldt0(X1,sz0z00) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl4_12 ),
inference(superposition,[],[f919,f143]) ).
fof(f1501,plain,
( ! [X0,X1] :
( sdtpldt0(X1,sz0z00) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) )
| ~ spl4_12 ),
inference(duplicate_literal_removal,[],[f1420]) ).
fof(f1566,plain,
( ! [X0,X1] :
( sdtpldt0(X1,sz0z00) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f1501,f139]) ).
fof(f1682,definition,
( spl4_20
<=> ! [X0,X1] :
( sdtpldt0(X1,sz0z00) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f1683,plain,
( ! [X0,X1] :
( sdtpldt0(X1,sz0z00) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1684,plain,
( spl4_20
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f1566,f918,f1682]) ).
fof(f1694,definition,
( spl4_23
<=> ! [X0,X1] :
( sdtpldt0(smndt0(X0),sdtpldt0(X0,X1)) = sdtpldt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl4_23])],[avatar_definition]) ).
fof(f1695,plain,
( ! [X0,X1] :
( sdtpldt0(smndt0(X0),sdtpldt0(X0,X1)) = sdtpldt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f1696,plain,
( spl4_23
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f604,f511,f1694]) ).
fof(f1702,plain,
( ! [X0,X1] :
( sdtpldt0(sz0z00,X0) = sdtpldt0(smndt0(X1),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl4_5
| ~ spl4_23 ),
inference(superposition,[],[f1695,f335]) ).
fof(f1750,plain,
( ! [X0,X1] :
( sdtpldt0(sz0z00,X0) = sdtpldt0(smndt0(X1),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl4_5
| ~ spl4_23 ),
inference(duplicate_literal_removal,[],[f1702]) ).
fof(f2372,definition,
( spl4_28
<=> aScalar0(sdtasdt0(xS,xS)) ),
introduced(definition,[new_symbols(definition,[spl4_28])],[avatar_definition]) ).
fof(f2374,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f2372]) ).
fof(f2375,plain,
( spl4_28
| ~ spl4_9
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f1048,f969,f615,f2372]) ).
fof(f2636,definition,
( spl4_34
<=> aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(definition,[new_symbols(definition,[spl4_34])],[avatar_definition]) ).
fof(f2637,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f2636]) ).
fof(f2638,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| spl4_34 ),
inference(avatar_component_clause,[],[f2636]) ).
fof(f2644,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| spl4_34 ),
inference(resolution,[],[f2638,f137]) ).
fof(f2649,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| ~ spl4_15
| spl4_34 ),
inference(forward_subsumption_resolution,[],[f2644,f1056]) ).
fof(f2652,plain,
( $false
| ~ spl4_15
| ~ spl4_28
| spl4_34 ),
inference(forward_subsumption_resolution,[],[f2649,f2374]) ).
fof(f2653,plain,
( ~ spl4_15
| ~ spl4_28
| spl4_34 ),
inference(avatar_contradiction_clause,[],[f2652]) ).
fof(f2661,plain,
( ! [X0] :
( aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),X0))
| ~ aScalar0(X0) )
| ~ spl4_34 ),
inference(resolution,[],[f2637,f137]) ).
fof(f2672,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00)
| ~ spl4_34 ),
inference(resolution,[],[f2637,f147]) ).
fof(f3191,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sz0z00) = sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ aScalar0(smndt0(xN))
| ~ spl4_13
| ~ spl4_20 ),
inference(superposition,[],[f1683,f924]) ).
fof(f3289,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sz0z00) = sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ aScalar0(smndt0(xN))
| ~ spl4_13
| ~ spl4_20
| ~ spl4_34 ),
inference(forward_subsumption_resolution,[],[f3191,f2661]) ).
fof(f3328,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sz0z00) = sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ spl4_3
| ~ spl4_13
| ~ spl4_20
| ~ spl4_34 ),
inference(forward_subsumption_resolution,[],[f3289,f263]) ).
fof(f3333,plain,
( sdtpldt0(xN,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sz0z00)
| ~ spl4_3
| ~ spl4_13
| ~ spl4_20
| ~ spl4_34 ),
inference(forward_demodulation,[],[f3328,f265]) ).
fof(f4314,definition,
( spl4_56
<=> sz0z00 = sdtpldt0(smndt0(xN),xN) ),
introduced(definition,[new_symbols(definition,[spl4_56])],[avatar_definition]) ).
fof(f4316,plain,
( sz0z00 = sdtpldt0(smndt0(xN),xN)
| ~ spl4_56 ),
inference(avatar_component_clause,[],[f4314]) ).
fof(f4317,plain,
( spl4_56
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f266,f255,f4314]) ).
fof(f4603,definition,
( spl4_62
<=> aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN))) ),
introduced(definition,[new_symbols(definition,[spl4_62])],[avatar_definition]) ).
fof(f4604,plain,
( aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ spl4_62 ),
inference(avatar_component_clause,[],[f4603]) ).
fof(f4605,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| spl4_62 ),
inference(avatar_component_clause,[],[f4603]) ).
fof(f4611,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(smndt0(xN))
| spl4_62 ),
inference(resolution,[],[f4605,f137]) ).
fof(f4624,plain,
( ~ aScalar0(smndt0(xN))
| ~ spl4_34
| spl4_62 ),
inference(forward_subsumption_resolution,[],[f4611,f2637]) ).
fof(f4631,plain,
( $false
| ~ spl4_3
| ~ spl4_34
| spl4_62 ),
inference(forward_subsumption_resolution,[],[f4624,f263]) ).
fof(f4632,plain,
( ~ spl4_3
| ~ spl4_34
| spl4_62 ),
inference(avatar_contradiction_clause,[],[f4631]) ).
fof(f4647,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),X0) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sdtpldt0(smndt0(xN),X0))
| ~ aScalar0(X0) )
| ~ spl4_3
| ~ spl4_13
| ~ spl4_62 ),
inference(backward_subsumption_resolution,[],[f956,f4604]) ).
fof(f4664,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ spl4_62 ),
inference(resolution,[],[f4604,f146]) ).
fof(f6537,definition,
( spl4_83
<=> aScalar0(smndt0(xN)) ),
introduced(definition,[new_symbols(definition,[spl4_83])],[avatar_definition]) ).
fof(f6539,plain,
( aScalar0(smndt0(xN))
| ~ spl4_83 ),
inference(avatar_component_clause,[],[f6537]) ).
fof(f6540,plain,
( spl4_83
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f263,f255,f6537]) ).
fof(f8198,definition,
( spl4_96
<=> ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_96])],[avatar_definition]) ).
fof(f8199,plain,
( ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl4_96 ),
inference(avatar_component_clause,[],[f8198]) ).
fof(f8200,plain,
spl4_96,
inference(avatar_split_clause,[],[f139,f8198]) ).
fof(f10676,definition,
( spl4_110
<=> ! [X0,X1] :
( sdtpldt0(sz0z00,X0) = sdtpldt0(smndt0(X1),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_110])],[avatar_definition]) ).
fof(f10677,plain,
( ! [X0,X1] :
( sdtpldt0(sz0z00,X0) = sdtpldt0(smndt0(X1),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl4_110 ),
inference(avatar_component_clause,[],[f10676]) ).
fof(f10678,plain,
( spl4_110
| ~ spl4_5
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f1750,f1694,f334,f10676]) ).
fof(f10714,plain,
( sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ spl4_13
| ~ spl4_110 ),
inference(superposition,[],[f10677,f924]) ).
fof(f10869,plain,
( sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ aScalar0(smndt0(xN))
| ~ spl4_13
| ~ spl4_34
| ~ spl4_110 ),
inference(forward_subsumption_resolution,[],[f10714,f2661]) ).
fof(f10913,plain,
( sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))) = sdtpldt0(sz0z00,sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ spl4_13
| ~ spl4_34
| ~ spl4_83
| ~ spl4_110 ),
inference(forward_subsumption_resolution,[],[f10869,f6539]) ).
fof(f10921,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)) = sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ spl4_13
| ~ spl4_34
| ~ spl4_62
| ~ spl4_83
| ~ spl4_110 ),
inference(forward_demodulation,[],[f10913,f4664]) ).
fof(f10924,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)) = sdtpldt0(xN,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ spl4_3
| ~ spl4_13
| ~ spl4_34
| ~ spl4_62
| ~ spl4_83
| ~ spl4_110 ),
inference(forward_demodulation,[],[f10921,f265]) ).
fof(f12888,definition,
( spl4_138
<=> ! [X0] :
( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),X0) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sdtpldt0(smndt0(xN),X0))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_138])],[avatar_definition]) ).
fof(f12889,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),X0) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sdtpldt0(smndt0(xN),X0))
| ~ aScalar0(X0) )
| ~ spl4_138 ),
inference(avatar_component_clause,[],[f12888]) ).
fof(f12890,plain,
( spl4_138
| ~ spl4_3
| ~ spl4_13
| ~ spl4_62 ),
inference(avatar_split_clause,[],[f4647,f4603,f922,f255,f12888]) ).
fof(f12900,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(xN)
| ~ spl4_138 ),
inference(superposition,[],[f12889,f142]) ).
fof(f12985,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sz0z00)
| ~ aScalar0(xN)
| ~ spl4_138 ),
inference(duplicate_literal_removal,[],[f12900]) ).
fof(f13045,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sz0z00)
| ~ spl4_3
| ~ spl4_138 ),
inference(forward_subsumption_resolution,[],[f12985,f257]) ).
fof(f13084,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN) = sdtpldt0(xN,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ spl4_3
| ~ spl4_13
| ~ spl4_20
| ~ spl4_34
| ~ spl4_138 ),
inference(forward_demodulation,[],[f13045,f3333]) ).
fof(f13110,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)) = sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN)
| ~ spl4_3
| ~ spl4_13
| ~ spl4_20
| ~ spl4_34
| ~ spl4_62
| ~ spl4_83
| ~ spl4_110
| ~ spl4_138 ),
inference(forward_demodulation,[],[f13084,f10924]) ).
fof(f13120,definition,
( spl4_139
<=> sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)) = sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN) ),
introduced(definition,[new_symbols(definition,[spl4_139])],[avatar_definition]) ).
fof(f13122,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)) = sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN)
| ~ spl4_139 ),
inference(avatar_component_clause,[],[f13120]) ).
fof(f13123,plain,
( spl4_139
| ~ spl4_3
| ~ spl4_13
| ~ spl4_20
| ~ spl4_34
| ~ spl4_62
| ~ spl4_83
| ~ spl4_110
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f13110,f12888,f10676,f6537,f4603,f2636,f1682,f922,f255,f13120]) ).
fof(f13128,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),xN)
| spl4_1
| ~ spl4_139 ),
inference(superposition,[],[f232,f13122]) ).
fof(f13674,definition,
( spl4_142
<=> sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),xN) ),
introduced(definition,[new_symbols(definition,[spl4_142])],[avatar_definition]) ).
fof(f13676,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),xN)
| spl4_142 ),
inference(avatar_component_clause,[],[f13674]) ).
fof(f13677,plain,
( ~ spl4_142
| spl4_1
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f13128,f13120,f230,f13674]) ).
fof(f13689,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(smndt0(xN),xN))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(xN)
| spl4_142 ),
inference(superposition,[],[f13676,f151]) ).
fof(f13693,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(smndt0(xN),xN))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(xN)
| ~ spl4_96
| spl4_142 ),
inference(forward_subsumption_resolution,[],[f13689,f8199]) ).
fof(f13705,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(smndt0(xN),xN))
| ~ aScalar0(xN)
| ~ spl4_34
| ~ spl4_96
| spl4_142 ),
inference(forward_subsumption_resolution,[],[f13693,f2637]) ).
fof(f13717,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(smndt0(xN),xN))
| ~ spl4_3
| ~ spl4_34
| ~ spl4_96
| spl4_142 ),
inference(forward_subsumption_resolution,[],[f13705,f257]) ).
fof(f13725,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00)
| ~ spl4_3
| ~ spl4_34
| ~ spl4_56
| ~ spl4_96
| spl4_142 ),
inference(forward_demodulation,[],[f13717,f4316]) ).
fof(f13727,plain,
( $false
| ~ spl4_3
| ~ spl4_34
| ~ spl4_56
| ~ spl4_96
| spl4_142 ),
inference(forward_subsumption_resolution,[],[f13725,f2672]) ).
fof(f13728,plain,
( ~ spl4_3
| ~ spl4_34
| ~ spl4_56
| ~ spl4_96
| spl4_142 ),
inference(avatar_contradiction_clause,[],[f13727]) ).
cnf(s1,plain,
~ spl4_1,
inference(sat_conversion,[],[f233]) ).
cnf(s3,plain,
spl4_3,
inference(sat_conversion,[],[f258]) ).
cnf(s5,plain,
( ~ spl4_3
| spl4_5 ),
inference(sat_conversion,[],[f336]) ).
cnf(s8,plain,
( ~ spl4_5
| spl4_8 ),
inference(sat_conversion,[],[f513]) ).
cnf(s9,plain,
spl4_9,
inference(sat_conversion,[],[f618]) ).
cnf(s10,plain,
spl4_10,
inference(sat_conversion,[],[f656]) ).
cnf(s12,plain,
( ~ spl4_5
| spl4_12 ),
inference(sat_conversion,[],[f920]) ).
cnf(s13,plain,
spl4_13,
inference(sat_conversion,[],[f925]) ).
cnf(s14,plain,
spl4_14,
inference(sat_conversion,[],[f972]) ).
cnf(s16,plain,
( ~ spl4_10
| spl4_15 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s20,plain,
( ~ spl4_12
| spl4_20 ),
inference(sat_conversion,[],[f1684]) ).
cnf(s23,plain,
( ~ spl4_8
| spl4_23 ),
inference(sat_conversion,[],[f1696]) ).
cnf(s28,plain,
( ~ spl4_9
| ~ spl4_14
| spl4_28 ),
inference(sat_conversion,[],[f2375]) ).
cnf(s39,plain,
( ~ spl4_15
| ~ spl4_28
| spl4_34 ),
inference(sat_conversion,[],[f2653]) ).
cnf(s62,plain,
( ~ spl4_3
| spl4_56 ),
inference(sat_conversion,[],[f4317]) ).
cnf(s69,plain,
( ~ spl4_3
| ~ spl4_34
| spl4_62 ),
inference(sat_conversion,[],[f4632]) ).
cnf(s93,plain,
( ~ spl4_3
| spl4_83 ),
inference(sat_conversion,[],[f6540]) ).
cnf(s153,plain,
spl4_96,
inference(sat_conversion,[],[f8200]) ).
cnf(s167,plain,
( ~ spl4_5
| ~ spl4_23
| spl4_110 ),
inference(sat_conversion,[],[f10678]) ).
cnf(s195,plain,
( ~ spl4_3
| ~ spl4_13
| ~ spl4_62
| spl4_138 ),
inference(sat_conversion,[],[f12890]) ).
cnf(s196,plain,
( ~ spl4_3
| ~ spl4_13
| ~ spl4_20
| ~ spl4_34
| ~ spl4_62
| ~ spl4_83
| ~ spl4_110
| ~ spl4_138
| spl4_139 ),
inference(sat_conversion,[],[f13123]) ).
cnf(s199,plain,
( spl4_1
| ~ spl4_139
| ~ spl4_142 ),
inference(sat_conversion,[],[f13677]) ).
cnf(s200,plain,
( ~ spl4_3
| ~ spl4_34
| ~ spl4_56
| ~ spl4_96
| spl4_142 ),
inference(sat_conversion,[],[f13728]) ).
cnf(s222,plain,
spl4_15,
inference(rat,[],[s16,s10]) ).
cnf(s228,plain,
spl4_28,
inference(rat,[],[s28,s14,s9]) ).
cnf(s229,plain,
spl4_34,
inference(rat,[],[s39,s222,s228]) ).
cnf(s232,plain,
spl4_83,
inference(rat,[],[s93,s3]) ).
cnf(s235,plain,
spl4_62,
inference(rat,[],[s69,s229,s3]) ).
cnf(s236,plain,
spl4_56,
inference(rat,[],[s62,s3]) ).
cnf(s245,plain,
spl4_5,
inference(rat,[],[s5,s3]) ).
cnf(s248,plain,
spl4_138,
inference(rat,[],[s195,s3,s13,s235]) ).
cnf(s249,plain,
spl4_142,
inference(rat,[],[s200,s3,s153,s229,s236]) ).
cnf(s272,plain,
spl4_12,
inference(rat,[],[s12,s245]) ).
cnf(s273,plain,
spl4_8,
inference(rat,[],[s8,s245]) ).
cnf(s286,plain,
spl4_20,
inference(rat,[],[s20,s272]) ).
cnf(s294,plain,
spl4_23,
inference(rat,[],[s23,s273]) ).
cnf(s300,plain,
spl4_110,
inference(rat,[],[s167,s245,s294]) ).
cnf(s303,plain,
spl4_139,
inference(rat,[],[s196,s286,s248,s235,s232,s3,s229,s13,s300]) ).
cnf(s304,plain,
spl4_1,
inference(rat,[],[s199,s249,s303]) ).
cnf(s309,plain,
$false,
inference(rat,[],[s1,s304]) ).
fof(f13731,plain,
$false,
inference(avatar_sat_refutation,[],[s309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG063+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n001.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 23:10:31 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.48 Running first-order theorem proving
% 0.26/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.89/2.76 % (4076893)Detected formulas, will run a generic FOF schedule.
% 10.89/2.76 % (4076907)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=653117584:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.89/2.76 % (4076903)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=1727210588:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.89/2.76 % (4076904)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=2726887865:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.89/2.76 % (4076902)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=1575850618:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.89/2.76 % (4076908)dis-21_1_sil=8000:lcm=predicate:random_seed=1416041031: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)
% 10.89/2.76 % (4076905)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2318583148:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.89/2.76 % (4076906)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1975311395:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.89/2.76 % (4076907)Instruction limit reached!
% 10.89/2.76 % (4076907)------------------------------
% 10.89/2.76 % (4076907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.76 % (4076907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.76 % (4076907)CaDiCaL version: 2.1.3
% 10.89/2.76 % (4076907)Termination reason: Instruction limit
% 10.89/2.76 % (4076907)Termination phase: Saturation
% 10.89/2.76 % (4076907)Time elapsed: 0.069 s
% 10.89/2.76 % (4076907)Peak memory usage: 90 MB
% 10.89/2.76 % (4076907)Instructions burned: 140 (million)
% 10.89/2.76 % (4076905)Instruction limit reached!
% 10.89/2.76 % (4076905)------------------------------
% 10.89/2.76 % (4076905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.76 % (4076905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.76 % (4076905)CaDiCaL version: 2.1.3
% 10.89/2.76 % (4076905)Termination reason: Instruction limit
% 10.89/2.76 % (4076905)Termination phase: Saturation
% 10.89/2.76 % (4076905)Time elapsed: 0.053 s
% 10.89/2.76 % (4076905)Peak memory usage: 89 MB
% 10.89/2.76 % (4076905)Instructions burned: 109 (million)
% 10.89/2.76 % (4076906)Instruction limit reached!
% 10.89/2.76 % (4076906)------------------------------
% 10.89/2.76 % (4076906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.76 % (4076906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.76 % (4076906)CaDiCaL version: 2.1.3
% 10.89/2.76 % (4076906)Termination reason: Instruction limit
% 10.89/2.76 % (4076906)Termination phase: Saturation
% 10.89/2.76 % (4076906)Time elapsed: 0.070 s
% 10.89/2.76 % (4076906)Peak memory usage: 88 MB
% 10.89/2.76 % (4076906)Instructions burned: 120 (million)
% 10.89/2.76 % (4076908)Instruction limit reached!
% 10.89/2.76 % (4076908)------------------------------
% 10.89/2.76 % (4076908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.76 % (4076908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.76 % (4076908)CaDiCaL version: 2.1.3
% 10.89/2.76 % (4076908)Termination reason: Instruction limit
% 10.89/2.76 % (4076908)Termination phase: Saturation
% 10.89/2.76 % (4076908)Time elapsed: 0.110 s
% 10.89/2.76 % (4076908)Peak memory usage: 89 MB
% 10.89/2.76 % (4076908)Instructions burned: 130 (million)
% 10.89/2.76 % (4076916)lrs+10_1_sil=8000:sp=occurrence:random_seed=3520704873:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.89/2.76 % (4076918)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1575127001:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.89/2.76 % (4076917)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2785231689:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.89/2.76 % (4076917)Instruction limit reached!
% 10.89/2.76 % (4076917)------------------------------
% 10.89/2.76 % (4076917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.76 % (4076917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.41 % (4076917)CaDiCaL version: 2.1.3
% 16.24/3.41 % (4076917)Termination reason: Instruction limit
% 16.24/3.41 % (4076917)Termination phase: Saturation
% 16.24/3.41 % (4076917)Time elapsed: 0.073 s
% 16.24/3.41 % (4076917)Peak memory usage: 91 MB
% 16.24/3.41 % (4076917)Instructions burned: 159 (million)
% 16.24/3.41 % (4076919)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=918731267:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 16.24/3.41 % (4076916)Instruction limit reached!
% 16.24/3.41 % (4076916)------------------------------
% 16.24/3.41 % (4076916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.41 % (4076916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.41 % (4076916)CaDiCaL version: 2.1.3
% 16.24/3.41 % (4076916)Termination reason: Instruction limit
% 16.24/3.41 % (4076916)Termination phase: Saturation
% 16.24/3.41 % (4076916)Time elapsed: 0.093 s
% 16.24/3.41 % (4076916)Peak memory usage: 93 MB
% 16.24/3.41 % (4076916)Instructions burned: 288 (million)
% 16.24/3.41 % (4076919)Instruction limit reached!
% 16.24/3.41 % (4076919)------------------------------
% 16.24/3.41 % (4076919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.41 % (4076919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.41 % (4076919)CaDiCaL version: 2.1.3
% 16.24/3.41 % (4076919)Termination reason: Instruction limit
% 16.24/3.41 % (4076919)Termination phase: Saturation
% 16.24/3.41 % (4076919)Time elapsed: 0.112 s
% 16.24/3.41 % (4076919)Peak memory usage: 95 MB
% 16.24/3.41 % (4076919)Instructions burned: 249 (million)
% 16.24/3.41 % (4076918)Instruction limit reached!
% 16.24/3.41 % (4076918)------------------------------
% 16.24/3.41 % (4076918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.41 % (4076918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.41 % (4076918)CaDiCaL version: 2.1.3
% 16.24/3.41 % (4076918)Termination reason: Instruction limit
% 16.24/3.41 % (4076918)Termination phase: Saturation
% 16.24/3.41 % (4076918)Time elapsed: 0.206 s
% 16.24/3.41 % (4076918)Peak memory usage: 94 MB
% 16.24/3.41 % (4076918)Instructions burned: 326 (million)
% 16.24/3.41 % (4076926)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4137133858:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 16.24/3.41 % (4076924)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1295025820:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 16.24/3.41 % (4076935)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1799414472:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 16.24/3.41 % (4076938)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3096278734:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 16.24/3.41 % (4076924)Instruction limit reached!
% 16.24/3.41 % (4076924)------------------------------
% 16.24/3.41 % (4076924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.41 % (4076924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.41 % (4076924)CaDiCaL version: 2.1.3
% 16.24/3.41 % (4076924)Termination reason: Instruction limit
% 16.24/3.41 % (4076924)Termination phase: Saturation
% 16.24/3.41 % (4076924)Time elapsed: 0.169 s
% 16.24/3.41 % (4076924)Peak memory usage: 91 MB
% 16.24/3.41 % (4076924)Instructions burned: 295 (million)
% 16.24/3.41 % (4076935)Instruction limit reached!
% 16.24/3.41 % (4076935)------------------------------
% 16.24/3.41 % (4076935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.41 % (4076935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.41 % (4076935)CaDiCaL version: 2.1.3
% 16.24/3.41 % (4076935)Termination reason: Instruction limit
% 16.24/3.41 % (4076935)Termination phase: Saturation
% 16.24/3.41 % (4076935)Time elapsed: 0.072 s
% 16.24/3.41 % (4076935)Peak memory usage: 91 MB
% 16.24/3.41 % (4076935)Instructions burned: 113 (million)
% 16.24/3.41 % (4076938)Instruction limit reached!
% 16.24/3.41 % (4076938)------------------------------
% 16.24/3.41 % (4076938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.41 % (4076938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.41 % (4076938)CaDiCaL version: 2.1.3
% 16.24/3.41 % (4076938)Termination reason: Instruction limit
% 16.24/3.41 % (4076938)Termination phase: Saturation
% 16.24/3.43 % (4076938)Time elapsed: 0.067 s
% 16.24/3.43 % (4076938)Peak memory usage: 89 MB
% 16.24/3.43 % (4076938)Instructions burned: 127 (million)
% 16.24/3.43 % (4076972)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1326160566:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 16.24/3.43 % (4076973)lrs+10_1_sil=8000:sp=occurrence:random_seed=1648782335:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 16.24/3.43 % (4076974)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1251808304:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 16.24/3.43 % (4076972)Instruction limit reached!
% 16.24/3.43 % (4076972)------------------------------
% 16.24/3.43 % (4076972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.43 % (4076972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.43 % (4076972)CaDiCaL version: 2.1.3
% 16.24/3.43 % (4076972)Termination reason: Instruction limit
% 16.24/3.43 % (4076972)Termination phase: Saturation
% 16.24/3.43 % (4076972)Time elapsed: 0.062 s
% 16.24/3.43 % (4076972)Peak memory usage: 89 MB
% 16.24/3.43 % (4076972)Instructions burned: 116 (million)
% 16.24/3.43 % (4076978)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=241999600:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 16.24/3.43 % (4076974)Instruction limit reached!
% 16.24/3.43 % (4076974)------------------------------
% 16.24/3.43 % (4076974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.43 % (4076974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.43 % (4076974)CaDiCaL version: 2.1.3
% 16.24/3.43 % (4076974)Termination reason: Instruction limit
% 16.24/3.43 % (4076974)Termination phase: Saturation
% 16.24/3.43 % (4076974)Time elapsed: 0.247 s
% 16.24/3.43 % (4076974)Peak memory usage: 95 MB
% 16.24/3.43 % (4076974)Instructions burned: 438 (million)
% 16.24/3.43 % (4076926)Instruction limit reached!
% 16.24/3.43 % (4076926)------------------------------
% 16.24/3.43 % (4076926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.43 % (4076926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.43 % (4076926)CaDiCaL version: 2.1.3
% 16.24/3.43 % (4076926)Termination reason: Instruction limit
% 16.24/3.43 % (4076926)Termination phase: Saturation
% 16.24/3.43 % (4076926)Time elapsed: 0.758 s
% 16.24/3.43 % (4076926)Peak memory usage: 144 MB
% 16.24/3.43 % (4076926)Instructions burned: 2350 (million)
% 16.24/3.43 % (4076980)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3562167903:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 16.24/3.43 % (4076973)Instruction limit reached!
% 16.24/3.43 % (4076973)------------------------------
% 16.24/3.43 % (4076973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.43 % (4076973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.43 % (4076973)CaDiCaL version: 2.1.3
% 16.24/3.43 % (4076973)Termination reason: Instruction limit
% 16.24/3.43 % (4076973)Termination phase: Saturation
% 16.24/3.43 % (4076973)Time elapsed: 0.493 s
% 16.24/3.43 % (4076973)Peak memory usage: 102 MB
% 16.24/3.43 % (4076973)Instructions burned: 908 (million)
% 16.24/3.43 % (4076980)Instruction limit reached!
% 16.24/3.43 % (4076980)------------------------------
% 16.24/3.43 % (4076980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.43 % (4076980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.43 % (4076980)CaDiCaL version: 2.1.3
% 16.24/3.43 % (4076980)Termination reason: Instruction limit
% 16.24/3.43 % (4076980)Termination phase: Saturation
% 16.24/3.43 % (4076980)Time elapsed: 0.060 s
% 16.24/3.43 % (4076980)Peak memory usage: 91 MB
% 16.24/3.43 % (4076980)Instructions burned: 135 (million)
% 16.24/3.43 % (4076981)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4136335961:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 16.24/3.43 % (4076984)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=1387113463:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 16.24/3.43 % (4076983)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2570369548:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 16.24/3.43 % (4076981)Instruction limit reached!
% 16.24/3.43 % (4076981)------------------------------
% 16.24/3.43 % (4076981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.43 % (4076981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.43 % (4076981)CaDiCaL version: 2.1.3
% 16.24/3.43 % (4076981)Termination reason: Instruction limit
% 16.24/3.43 % (4076981)Termination phase: Saturation
% 16.24/3.43 % (4076981)Time elapsed: 0.161 s
% 16.24/3.43 % (4076981)Peak memory usage: 92 MB
% 16.24/3.43 % (4076981)Instructions burned: 593 (million)
% 16.24/3.43 % (4076984)Instruction limit reached!
% 16.24/3.43 % (4076984)------------------------------
% 16.24/3.43 % (4076984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.43 % (4076984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.43 % (4076984)CaDiCaL version: 2.1.3
% 16.24/3.43 % (4076984)Termination reason: Instruction limit
% 16.24/3.43 % (4076984)Termination phase: Saturation
% 16.24/3.43 % (4076984)Time elapsed: 0.065 s
% 16.24/3.43 % (4076984)Peak memory usage: 90 MB
% 16.24/3.43 % (4076984)Instructions burned: 126 (million)
% 16.24/3.43 % (4076988)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2569227947:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 16.24/3.43 % (4076988)Instruction limit reached!
% 16.24/3.43 % (4076988)------------------------------
% 16.24/3.43 % (4076988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.43 % (4076988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.43 % (4076988)CaDiCaL version: 2.1.3
% 16.24/3.43 % (4076988)Termination reason: Instruction limit
% 16.24/3.43 % (4076988)Termination phase: Saturation
% 16.24/3.43 % (4076988)Time elapsed: 0.043 s
% 16.24/3.43 % (4076988)Peak memory usage: 90 MB
% 16.24/3.43 % (4076988)Instructions burned: 138 (million)
% 16.24/3.43 % (4076989)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4065895876:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 16.24/3.43 % (4076989)Instruction limit reached!
% 16.24/3.43 % (4076989)------------------------------
% 16.24/3.43 % (4076989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.43 % (4076989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.43 % (4076989)CaDiCaL version: 2.1.3
% 16.24/3.43 % (4076989)Termination reason: Instruction limit
% 16.24/3.43 % (4076989)Termination phase: Saturation
% 16.24/3.43 % (4076989)Time elapsed: 0.073 s
% 16.24/3.43 % (4076989)Peak memory usage: 91 MB
% 16.24/3.43 % (4076989)Instructions burned: 143 (million)
% 16.24/3.43 % (4076991)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2305072645:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 16.24/3.43 % (4076991)Refutation not found, incomplete strategy
% 16.24/3.43 % (4076991)------------------------------
% 16.24/3.43 % (4076991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.43 % (4076991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.43 % (4076991)CaDiCaL version: 2.1.3
% 16.24/3.43 % (4076991)Termination reason: Refutation not found, incomplete strategy
% 16.24/3.43 % (4076991)Time elapsed: 0.002 s
% 16.24/3.43 % (4076991)Peak memory usage: 88 MB
% 16.24/3.43 % (4076991)Instructions burned: 4 (million)
% 16.24/3.43 % (4076904)First to succeed.
% 16.24/3.43 % (4076904)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4076893"
% 16.24/3.43 % (4076993)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=1646271211:i=6060:aac=none:ins=25_2980 on theBenchmark for (2980ds/6060Mi)
% 16.24/3.43 % (4076991)------------------------------
% 16.24/3.43 % (4076991)------------------------------
% 16.24/3.43 % (4076996)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=166079894:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 16.24/3.43 % (4076996)Instruction limit reached!
% 16.24/3.43 % (4076996)------------------------------
% 16.24/3.43 % (4076996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/3.43 % (4076996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/3.43 % (4076996)CaDiCaL version: 2.1.3
% 16.24/3.43 % (4076996)Termination reason: Instruction limit
% 16.24/3.43 % (4076996)Termination phase: Saturation
% 16.24/3.43 % (4076996)Time elapsed: 0.044 s
% 16.24/3.43 % (4076996)Peak memory usage: 92 MB
% 16.24/3.43 % (4076996)Instructions burned: 152 (million)
% 16.24/3.43 % (4076904)Refutation found. Thanks to Tanya!
% 16.24/3.43 % SZS status Theorem for theBenchmark
% 16.24/3.43 % SZS output start Proof for theBenchmark
% See solution above
% 17.14/3.62 % (4076904)------------------------------
% 17.14/3.62 % (4076904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.14/3.62 % (4076904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.14/3.62 % (4076904)CaDiCaL version: 2.1.3
% 17.14/3.62 % (4076904)Termination reason: Refutation
% 17.14/3.62 % (4076904)Time elapsed: 1.854 s
% 17.14/3.62 % (4076904)Peak memory usage: 149 MB
% 17.14/3.62 % (4076904)Instructions burned: 3013 (million)
% 17.14/3.62 % (4076904)------------------------------
% 17.14/3.62 % (4076904)------------------------------
% 17.14/3.62 % (4076893)Success in time 2.309 s
% 17.14/3.62 % Vampire exiting
%------------------------------------------------------------------------------