%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM527+3 : 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 : n019.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 12:15:36 PM UTC 2026
% Result : Theorem 10.39s 2.37s
% Output : Refutation 11.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 144 ( 33 unt; 7 def)
% Number of atoms : 541 ( 130 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 687 ( 290 ~; 303 |; 75 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 80 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).
fof(f44,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
fof(f47,conjecture,
( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xm )
& sdtlseqdt0(xn,xm) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtasdt0(xn,xn),X0) = sdtasdt0(xm,xm) )
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xm )
& sdtlseqdt0(xn,xm) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtasdt0(xn,xn),X0) = sdtasdt0(xm,xm) )
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f51,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xp,X1) )
& doDivides0(xp,xn) ),
inference(rectify,[],[f44]) ).
fof(f52,plain,
~ ( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xm )
& sdtlseqdt0(xn,xm) )
=> ( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xn,xn),X1) )
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) ),
inference(rectify,[],[f48]) ).
fof(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f55]) ).
fof(f85,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f86,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f88,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f87]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f91]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f101]) ).
fof(f123,plain,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(xm,xm) != sdtpldt0(sdtasdt0(xn,xn),X1) )
& ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xm )
& sdtlseqdt0(xn,xm) ),
inference(ennf_transformation,[],[f52]) ).
fof(f124,plain,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(xm,xm) != sdtpldt0(sdtasdt0(xn,xn),X1) )
& ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xm )
& sdtlseqdt0(xn,xm) ),
inference(flattening,[],[f123]) ).
fof(f133,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f102]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f133]) ).
fof(f141,plain,
( aNaturalNumber0(sK6)
& sdtasdt0(xn,xn) = sdtasdt0(xp,sK6)
& doDivides0(xp,sdtasdt0(xn,xn))
& aNaturalNumber0(sK7)
& xn = sdtasdt0(xp,sK7)
& doDivides0(xp,xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f51]) ).
fof(f142,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) != sdtpldt0(sdtasdt0(xn,xn),X0) )
& ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
& ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtpldt0(xn,X1) )
& sdtlseqdt0(xn,xm) ),
inference(rectify,[],[f124]) ).
fof(f143,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,xm) != sdtpldt0(sdtasdt0(xn,xn),X0) )
& ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
& aNaturalNumber0(sK8)
& xm = sdtpldt0(xn,sK8)
& sdtlseqdt0(xn,xm) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8)],[f142]) ).
fof(f148,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f177,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f183,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f185,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f196,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f213,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f214,plain,
sz00 != xm,
inference(cnf_transformation,[],[f40]) ).
fof(f215,plain,
sz00 != xn,
inference(cnf_transformation,[],[f40]) ).
fof(f216,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f217,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f218,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f226,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f234,plain,
doDivides0(xp,sdtasdt0(xn,xn)),
inference(cnf_transformation,[],[f141]) ).
fof(f235,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sK6),
inference(cnf_transformation,[],[f141]) ).
fof(f236,plain,
aNaturalNumber0(sK6),
inference(cnf_transformation,[],[f141]) ).
fof(f241,plain,
sdtlseqdt0(xn,xm),
inference(cnf_transformation,[],[f143]) ).
fof(f244,plain,
~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
inference(cnf_transformation,[],[f143]) ).
fof(f253,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f196]) ).
fof(f258,definition,
sF9 = sdtasdt0(xm,xm),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f259,plain,
sdtasdt0(xm,xm) = sF9,
inference(reorient_equations,[],[f258]) ).
fof(f260,definition,
sF10 = sdtasdt0(xn,xn),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f261,plain,
sdtasdt0(xn,xn) = sF10,
inference(reorient_equations,[],[f260]) ).
fof(f265,plain,
~ sdtlseqdt0(sF10,sF9),
inference(definition_folding,[],[f244,f259,f261]) ).
fof(f270,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xp,sK6),
inference(forward_demodulation,[],[f226,f235]) ).
fof(f291,plain,
sdtasdt0(xp,sK6) = sF10,
inference(forward_demodulation,[],[f261,f235]) ).
fof(f293,plain,
sdtasdt0(xp,sK6) = sdtasdt0(xp,sF9),
inference(forward_demodulation,[],[f270,f259]) ).
fof(f294,plain,
sF10 = sdtasdt0(xp,sF9),
inference(forward_demodulation,[],[f293,f291]) ).
fof(f305,definition,
( spl13_5
<=> aNaturalNumber0(sF10) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
fof(f306,plain,
( aNaturalNumber0(sF10)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f307,plain,
( ~ aNaturalNumber0(sF10)
| spl13_5 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f330,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sF9)
| sz00 = xm
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f183,f259]) ).
fof(f331,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sF9)
| sz00 = xm
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f330]) ).
fof(f333,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sF9)
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f331,f214]) ).
fof(f337,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sF9)
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f333,f217]) ).
fof(f382,definition,
( spl13_10
<=> aNaturalNumber0(sF9) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
fof(f383,plain,
( aNaturalNumber0(sF9)
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f384,plain,
( ~ aNaturalNumber0(sF9)
| spl13_10 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f407,plain,
( aNaturalNumber0(sF10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK6) ),
inference(superposition,[],[f148,f291]) ).
fof(f409,plain,
( aNaturalNumber0(sF9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f148,f259]) ).
fof(f410,plain,
( aNaturalNumber0(sF9)
| ~ aNaturalNumber0(xm) ),
inference(duplicate_literal_removal,[],[f409]) ).
fof(f411,plain,
( ~ aNaturalNumber0(xm)
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f410,f384]) ).
fof(f412,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK6)
| spl13_5 ),
inference(forward_subsumption_resolution,[],[f407,f307]) ).
fof(f413,plain,
( $false
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f411,f217]) ).
fof(f414,plain,
spl13_10,
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f415,plain,
( ~ aNaturalNumber0(sK6)
| spl13_5 ),
inference(forward_subsumption_resolution,[],[f412,f216]) ).
fof(f416,plain,
( $false
| spl13_5 ),
inference(forward_subsumption_resolution,[],[f415,f236]) ).
fof(f417,plain,
spl13_5,
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f556,definition,
( spl13_23
<=> xn = xm ),
introduced(definition,[new_symbols(definition,[spl13_23])],[avatar_definition]) ).
fof(f557,plain,
( xn != xm
| spl13_23 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f558,plain,
( xn = xm
| ~ spl13_23 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f647,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(xn,X0))
| sz00 = xn
| xn = X0
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f185,f235]) ).
fof(f652,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(xn,X0))
| sz00 = xn
| xn = X0
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f647]) ).
fof(f658,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(xn,X0))
| xn = X0
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f652,f215]) ).
fof(f664,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(xn,X0))
| xn = X0
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f658,f218]) ).
fof(f670,plain,
! [X0] :
( sdtlseqdt0(sF10,sdtasdt0(xn,X0))
| xn = X0
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f664,f291]) ).
fof(f938,plain,
doDivides0(xp,sdtasdt0(xp,sK6)),
inference(superposition,[],[f234,f235]) ).
fof(f939,plain,
doDivides0(xp,sF10),
inference(forward_demodulation,[],[f938,f291]) ).
fof(f1073,plain,
( ~ doDivides0(xp,sF10)
| ~ aNaturalNumber0(sK6)
| sz00 = xp
| sK6 = sdtsldt0(sF10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF10) ),
inference(superposition,[],[f253,f291]) ).
fof(f1074,plain,
( ~ doDivides0(xp,sF10)
| ~ aNaturalNumber0(sF9)
| sz00 = xp
| sF9 = sdtsldt0(sF10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF10) ),
inference(superposition,[],[f253,f294]) ).
fof(f1081,plain,
( ~ doDivides0(xp,sF10)
| sz00 = xp
| sF9 = sdtsldt0(sF10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF10)
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f1074,f383]) ).
fof(f1082,plain,
( ~ doDivides0(xp,sF10)
| sz00 = xp
| sK6 = sdtsldt0(sF10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF10) ),
inference(forward_subsumption_resolution,[],[f1073,f236]) ).
fof(f1086,plain,
( ~ doDivides0(xp,sF10)
| sF9 = sdtsldt0(sF10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF10)
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f1081,f213]) ).
fof(f1087,plain,
( ~ doDivides0(xp,sF10)
| sK6 = sdtsldt0(sF10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF10) ),
inference(forward_subsumption_resolution,[],[f1082,f213]) ).
fof(f1091,plain,
( ~ doDivides0(xp,sF10)
| sF9 = sdtsldt0(sF10,xp)
| ~ aNaturalNumber0(sF10)
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f1086,f216]) ).
fof(f1092,plain,
( ~ doDivides0(xp,sF10)
| sK6 = sdtsldt0(sF10,xp)
| ~ aNaturalNumber0(sF10) ),
inference(forward_subsumption_resolution,[],[f1087,f216]) ).
fof(f1096,plain,
( ~ doDivides0(xp,sF10)
| sF9 = sdtsldt0(sF10,xp)
| ~ spl13_5
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f1091,f306]) ).
fof(f1097,plain,
( ~ doDivides0(xp,sF10)
| sK6 = sdtsldt0(sF10,xp)
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f1092,f306]) ).
fof(f1166,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,sdtasdt0(X1,xm))
| sdtlseqdt0(X0,sF9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,xm))
| ~ aNaturalNumber0(sF9)
| xm = X1
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f176,f337]) ).
fof(f1188,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,sdtasdt0(X1,xm))
| sdtlseqdt0(X0,sF9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X1,xm))
| xm = X1
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(X1) )
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f1166,f383]) ).
fof(f1290,plain,
( sdtasdt0(xn,xn) = sF9
| ~ spl13_23 ),
inference(superposition,[],[f259,f558]) ).
fof(f1348,plain,
( sdtasdt0(xp,sK6) = sF9
| ~ spl13_23 ),
inference(forward_demodulation,[],[f1290,f235]) ).
fof(f1381,plain,
( sF9 = sF10
| ~ spl13_23 ),
inference(forward_demodulation,[],[f1348,f291]) ).
fof(f1461,plain,
( sF9 = sdtsldt0(sF10,xp)
| ~ spl13_5
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f1096,f939]) ).
fof(f1462,plain,
( sK6 = sdtsldt0(sF10,xp)
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f1097,f939]) ).
fof(f2128,plain,
( sdtlseqdt0(sF9,sF10)
| ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sF9) ),
inference(resolution,[],[f177,f265]) ).
fof(f2141,plain,
( sdtlseqdt0(sF9,sF10)
| ~ aNaturalNumber0(sF9)
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f2128,f306]) ).
fof(f2145,plain,
( sdtlseqdt0(sF9,sF10)
| ~ spl13_5
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f2141,f383]) ).
fof(f3436,plain,
( sK6 = sF9
| ~ spl13_5
| ~ spl13_10 ),
inference(forward_demodulation,[],[f1462,f1461]) ).
fof(f3455,definition,
( spl13_88
<=> sK6 = sF9 ),
introduced(definition,[new_symbols(definition,[spl13_88])],[avatar_definition]) ).
fof(f3457,plain,
( sK6 = sF9
| ~ spl13_88 ),
inference(avatar_component_clause,[],[f3455]) ).
fof(f3531,plain,
( spl13_88
| ~ spl13_5
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f3436,f382,f305,f3455]) ).
fof(f4934,definition,
( spl13_119
<=> sK6 = sF10 ),
introduced(definition,[new_symbols(definition,[spl13_119])],[avatar_definition]) ).
fof(f4935,plain,
( sK6 != sF10
| spl13_119 ),
inference(avatar_component_clause,[],[f4934]) ).
fof(f4936,plain,
( sK6 = sF10
| ~ spl13_119 ),
inference(avatar_component_clause,[],[f4934]) ).
fof(f6208,plain,
( sdtlseqdt0(sF10,sF9)
| ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xm)
| ~ spl13_10 ),
inference(resolution,[],[f1188,f670]) ).
fof(f6210,plain,
( sdtlseqdt0(sF10,sF9)
| ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl13_10 ),
inference(duplicate_literal_removal,[],[f6208]) ).
fof(f6219,plain,
( ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f6210,f265]) ).
fof(f6225,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl13_5
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f6219,f306]) ).
fof(f6231,plain,
( xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl13_5
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f6225,f148]) ).
fof(f6237,plain,
( ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl13_5
| ~ spl13_10
| spl13_23 ),
inference(forward_subsumption_resolution,[],[f6231,f557]) ).
fof(f6243,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl13_5
| ~ spl13_10
| spl13_23 ),
inference(forward_subsumption_resolution,[],[f6237,f241]) ).
fof(f6249,plain,
( ~ aNaturalNumber0(xm)
| ~ spl13_5
| ~ spl13_10
| spl13_23 ),
inference(forward_subsumption_resolution,[],[f6243,f218]) ).
fof(f6253,plain,
( $false
| ~ spl13_5
| ~ spl13_10
| spl13_23 ),
inference(forward_subsumption_resolution,[],[f6249,f217]) ).
fof(f6254,plain,
( ~ spl13_5
| ~ spl13_10
| spl13_23 ),
inference(avatar_contradiction_clause,[],[f6253]) ).
fof(f6268,plain,
( sK6 = sF10
| ~ spl13_23
| ~ spl13_88 ),
inference(forward_demodulation,[],[f1381,f3457]) ).
fof(f6275,plain,
( $false
| ~ spl13_23
| ~ spl13_88
| spl13_119 ),
inference(forward_subsumption_resolution,[],[f6268,f4935]) ).
fof(f6276,plain,
( ~ spl13_23
| ~ spl13_88
| spl13_119 ),
inference(avatar_contradiction_clause,[],[f6275]) ).
fof(f6441,plain,
( ~ sdtlseqdt0(sK6,sF9)
| ~ spl13_119 ),
inference(superposition,[],[f265,f4936]) ).
fof(f6461,plain,
( sdtlseqdt0(sF9,sK6)
| ~ spl13_5
| ~ spl13_10
| ~ spl13_119 ),
inference(superposition,[],[f2145,f4936]) ).
fof(f6498,plain,
( ~ sdtlseqdt0(sK6,sK6)
| ~ spl13_88
| ~ spl13_119 ),
inference(forward_demodulation,[],[f6441,f3457]) ).
fof(f6557,plain,
( sdtlseqdt0(sK6,sK6)
| ~ spl13_5
| ~ spl13_10
| ~ spl13_88
| ~ spl13_119 ),
inference(forward_demodulation,[],[f6461,f3457]) ).
fof(f6623,plain,
( $false
| ~ spl13_5
| ~ spl13_10
| ~ spl13_88
| ~ spl13_119 ),
inference(forward_subsumption_resolution,[],[f6557,f6498]) ).
fof(f6624,plain,
( ~ spl13_5
| ~ spl13_10
| ~ spl13_88
| ~ spl13_119 ),
inference(avatar_contradiction_clause,[],[f6623]) ).
cnf(s13,plain,
spl13_10,
inference(sat_conversion,[],[f414]) ).
cnf(s14,plain,
spl13_5,
inference(sat_conversion,[],[f417]) ).
cnf(s96,plain,
( ~ spl13_5
| ~ spl13_10
| spl13_88 ),
inference(sat_conversion,[],[f3531]) ).
cnf(s180,plain,
( ~ spl13_5
| ~ spl13_10
| spl13_23 ),
inference(sat_conversion,[],[f6254]) ).
cnf(s182,plain,
( ~ spl13_23
| ~ spl13_88
| spl13_119 ),
inference(sat_conversion,[],[f6276]) ).
cnf(s188,plain,
( ~ spl13_5
| ~ spl13_10
| ~ spl13_88
| ~ spl13_119 ),
inference(sat_conversion,[],[f6624]) ).
cnf(s209,plain,
spl13_23,
inference(rat,[],[s180,s14,s13]) ).
cnf(s211,plain,
spl13_88,
inference(rat,[],[s96,s14,s13]) ).
cnf(s216,plain,
spl13_119,
inference(rat,[],[s182,s209,s211]) ).
cnf(s217,plain,
$false,
inference(rat,[],[s188,s13,s14,s216,s211]) ).
fof(f6688,plain,
$false,
inference(avatar_sat_refutation,[],[s217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM527+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:21:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.39/2.36 % (3378334)Detected formulas, will run a generic FOF schedule.
% 10.39/2.36 % (3378340)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=3745457152:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.39/2.36 % (3378344)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2550732966:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.39/2.36 % (3378341)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=1541212933:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.39/2.36 % (3378339)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=950959182:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.39/2.36 % (3378342)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2998503019:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.39/2.36 % (3378343)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2182471911:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.39/2.36 % (3378345)dis-21_1_sil=8000:lcm=predicate:random_seed=2552328695: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)
% 10.39/2.36 % (3378342)Instruction limit reached!
% 10.39/2.36 % (3378342)------------------------------
% 10.39/2.36 % (3378342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378342)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378342)Termination reason: Instruction limit
% 10.39/2.36 % (3378342)Termination phase: Saturation
% 10.39/2.36 % (3378342)Time elapsed: 0.058 s
% 10.39/2.36 % (3378342)Peak memory usage: 89 MB
% 10.39/2.36 % (3378342)Instructions burned: 109 (million)
% 10.39/2.36 % (3378343)Instruction limit reached!
% 10.39/2.36 % (3378343)------------------------------
% 10.39/2.36 % (3378343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378343)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378343)Termination reason: Instruction limit
% 10.39/2.36 % (3378343)Termination phase: Saturation
% 10.39/2.36 % (3378343)Time elapsed: 0.069 s
% 10.39/2.36 % (3378343)Peak memory usage: 88 MB
% 10.39/2.36 % (3378343)Instructions burned: 120 (million)
% 10.39/2.36 % (3378345)Instruction limit reached!
% 10.39/2.36 % (3378345)------------------------------
% 10.39/2.36 % (3378345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378345)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378345)Termination reason: Instruction limit
% 10.39/2.36 % (3378345)Termination phase: Saturation
% 10.39/2.36 % (3378345)Time elapsed: 0.076 s
% 10.39/2.36 % (3378345)Peak memory usage: 91 MB
% 10.39/2.36 % (3378345)Instructions burned: 129 (million)
% 10.39/2.36 % (3378344)Instruction limit reached!
% 10.39/2.36 % (3378344)------------------------------
% 10.39/2.36 % (3378344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378344)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378344)Termination reason: Instruction limit
% 10.39/2.36 % (3378344)Termination phase: Saturation
% 10.39/2.36 % (3378344)Time elapsed: 0.094 s
% 10.39/2.36 % (3378344)Peak memory usage: 90 MB
% 10.39/2.36 % (3378344)Instructions burned: 141 (million)
% 10.39/2.36 % (3378353)lrs+10_1_sil=8000:sp=occurrence:random_seed=1679731378:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.39/2.36 % (3378354)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1265142918:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.39/2.36 % (3378356)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=2958349897:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.39/2.36 % (3378355)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1699254215:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.39/2.36 % (3378354)Instruction limit reached!
% 10.39/2.36 % (3378354)------------------------------
% 10.39/2.36 % (3378354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378354)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378354)Termination reason: Instruction limit
% 10.39/2.36 % (3378354)Termination phase: Saturation
% 10.39/2.36 % (3378354)Time elapsed: 0.077 s
% 10.39/2.36 % (3378354)Peak memory usage: 91 MB
% 10.39/2.36 % (3378354)Instructions burned: 157 (million)
% 10.39/2.36 % (3378356)Instruction limit reached!
% 10.39/2.36 % (3378356)------------------------------
% 10.39/2.36 % (3378356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378356)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378356)Termination reason: Instruction limit
% 10.39/2.36 % (3378356)Termination phase: Saturation
% 10.39/2.36 % (3378356)Time elapsed: 0.112 s
% 10.39/2.36 % (3378356)Peak memory usage: 94 MB
% 10.39/2.36 % (3378356)Instructions burned: 249 (million)
% 10.39/2.36 % (3378353)Instruction limit reached!
% 10.39/2.36 % (3378353)------------------------------
% 10.39/2.36 % (3378353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378353)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378353)Termination reason: Instruction limit
% 10.39/2.36 % (3378353)Termination phase: Saturation
% 10.39/2.36 % (3378353)Time elapsed: 0.159 s
% 10.39/2.36 % (3378353)Peak memory usage: 91 MB
% 10.39/2.36 % (3378353)Instructions burned: 286 (million)
% 10.39/2.36 % (3378361)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1349138022:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.39/2.36 % (3378355)Instruction limit reached!
% 10.39/2.36 % (3378355)------------------------------
% 10.39/2.36 % (3378355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378355)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378355)Termination reason: Instruction limit
% 10.39/2.36 % (3378355)Termination phase: Saturation
% 10.39/2.36 % (3378355)Time elapsed: 0.199 s
% 10.39/2.36 % (3378355)Peak memory usage: 92 MB
% 10.39/2.36 % (3378355)Instructions burned: 325 (million)
% 10.39/2.36 % (3378362)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3235829922:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.39/2.36 % (3378363)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4108296079:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 10.39/2.36 % (3378363)Instruction limit reached!
% 10.39/2.36 % (3378363)------------------------------
% 10.39/2.36 % (3378363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378363)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378363)Termination reason: Instruction limit
% 10.39/2.36 % (3378363)Termination phase: Saturation
% 10.39/2.36 % (3378363)Time elapsed: 0.068 s
% 10.39/2.36 % (3378363)Peak memory usage: 90 MB
% 10.39/2.36 % (3378363)Instructions burned: 114 (million)
% 10.39/2.36 % (3378365)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=943279350:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.39/2.36 % (3378361)Instruction limit reached!
% 10.39/2.36 % (3378361)------------------------------
% 10.39/2.36 % (3378361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378361)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378361)Termination reason: Instruction limit
% 10.39/2.36 % (3378361)Termination phase: Saturation
% 10.39/2.36 % (3378361)Time elapsed: 0.161 s
% 10.39/2.36 % (3378361)Peak memory usage: 89 MB
% 10.39/2.36 % (3378361)Instructions burned: 295 (million)
% 10.39/2.36 % (3378365)Instruction limit reached!
% 10.39/2.36 % (3378365)------------------------------
% 10.39/2.36 % (3378365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378365)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378365)Termination reason: Instruction limit
% 10.39/2.36 % (3378365)Termination phase: Saturation
% 10.39/2.36 % (3378365)Time elapsed: 0.064 s
% 10.39/2.36 % (3378365)Peak memory usage: 89 MB
% 10.39/2.36 % (3378365)Instructions burned: 129 (million)
% 10.39/2.36 % (3378368)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3804533232:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.39/2.36 % (3378370)lrs+10_1_sil=8000:sp=occurrence:random_seed=575390497:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.39/2.36 % (3378368)Instruction limit reached!
% 10.39/2.36 % (3378368)------------------------------
% 10.39/2.36 % (3378368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378368)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378368)Termination reason: Instruction limit
% 10.39/2.36 % (3378368)Termination phase: Saturation
% 10.39/2.36 % (3378368)Time elapsed: 0.063 s
% 10.39/2.36 % (3378368)Peak memory usage: 89 MB
% 10.39/2.36 % (3378368)Instructions burned: 116 (million)
% 10.39/2.36 % (3378371)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3502520118:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.39/2.36 % (3378374)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3765023968:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 10.39/2.36 % (3378371)Instruction limit reached!
% 10.39/2.36 % (3378371)------------------------------
% 10.39/2.36 % (3378371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378371)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378371)Termination reason: Instruction limit
% 10.39/2.36 % (3378371)Termination phase: Saturation
% 10.39/2.36 % (3378371)Time elapsed: 0.245 s
% 10.39/2.36 % (3378371)Peak memory usage: 92 MB
% 10.39/2.36 % (3378371)Instructions burned: 439 (million)
% 10.39/2.36 % (3378339)First to succeed.
% 10.39/2.36 % (3378339)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3378334"
% 10.39/2.36 % (3378377)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3522881011:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.39/2.36 % (3378377)Instruction limit reached!
% 10.39/2.36 % (3378377)------------------------------
% 10.39/2.36 % (3378377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378377)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378377)Termination reason: Instruction limit
% 10.39/2.36 % (3378377)Termination phase: Saturation
% 10.39/2.36 % (3378377)Time elapsed: 0.068 s
% 10.39/2.36 % (3378377)Peak memory usage: 91 MB
% 10.39/2.36 % (3378377)Instructions burned: 134 (million)
% 10.39/2.36 % (3378370)Instruction limit reached!
% 10.39/2.36 % (3378370)------------------------------
% 10.39/2.36 % (3378370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.36 % (3378370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.36 % (3378370)CaDiCaL version: 2.1.3
% 10.39/2.36 % (3378370)Termination reason: Instruction limit
% 10.39/2.36 % (3378370)Termination phase: Saturation
% 10.39/2.36 % (3378370)Time elapsed: 0.501 s
% 10.39/2.37 % (3378370)Peak memory usage: 97 MB
% 10.39/2.37 % (3378370)Instructions burned: 907 (million)
% 10.39/2.37 % (3378340)Also succeeded, but the first one will report.
% 10.39/2.37 % (3378380)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2577154106:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 10.39/2.37 % (3378379)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2446270317:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.39/2.37 % (3378339)Refutation found. Thanks to Tanya!
% 10.39/2.37 % SZS status Theorem for theBenchmark
% 10.39/2.37 % SZS output start Proof for theBenchmark
% See solution above
% 11.24/2.56 % (3378339)------------------------------
% 11.24/2.56 % (3378339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/2.56 % (3378339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.56 % (3378339)CaDiCaL version: 2.1.3
% 11.24/2.56 % (3378339)Termination reason: Refutation
% 11.24/2.56 % (3378339)Time elapsed: 1.103 s
% 11.24/2.56 % (3378339)Peak memory usage: 136 MB
% 11.24/2.56 % (3378339)Instructions burned: 1723 (million)
% 11.24/2.56 % (3378339)------------------------------
% 11.24/2.56 % (3378339)------------------------------
% 11.24/2.56 % (3378334)Success in time 1.511 s
% 11.24/2.56 % Vampire exiting
%------------------------------------------------------------------------------