%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM516+3 : 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 : n017.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 12:15:33 PM UTC 2026
% Result : Theorem 5.09s 2.04s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 121 ( 21 unt; 10 def)
% Number of atoms : 399 ( 97 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 480 ( 202 ~; 192 |; 66 &)
% ( 10 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 56 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonAdd) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f53,axiom,
( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtsldt0(xn,xr) = xn )
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2504) ).
fof(f55,conjecture,
( ~ ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
~ ( ~ ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f65,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f66,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f65]) ).
fof(f69,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f70,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f69]) ).
fof(f82,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f83,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f82]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f101]) ).
fof(f138,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(ennf_transformation,[],[f53]) ).
fof(f139,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) )
& ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f141,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) )
& ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ) ),
inference(flattening,[],[f140]) ).
fof(f175,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sK20)
& xn = sdtpldt0(sdtsldt0(xn,xr),sK20)
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X0,sK20)],[f139]) ).
fof(f180,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f182,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f194,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f195,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f212,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f245,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f246,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f247,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f321,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f175]) ).
fof(f328,plain,
xn != sdtsldt0(xn,xr),
inference(cnf_transformation,[],[f175]) ).
fof(f336,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f343,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f359,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(duplicate_literal_removal,[],[f343]) ).
fof(f365,definition,
( spl22_2
<=> sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f366,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl22_3
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f370,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl22_4
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f374,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| spl22_4 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f375,plain,
( ~ spl22_4
| spl22_2 ),
inference(avatar_split_clause,[],[f336,f365,f373]) ).
fof(f385,plain,
spl22_3,
inference(avatar_split_clause,[],[f359,f369]) ).
fof(f423,plain,
( ~ aNaturalNumber0(xp)
| sdtpldt0(xn,xm) = sdtpldt0(sdtsldt0(xn,xr),xm)
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl22_4 ),
inference(resolution,[],[f212,f374]) ).
fof(f424,plain,
( sdtpldt0(xn,xm) = sdtpldt0(sdtsldt0(xn,xr),xm)
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl22_4 ),
inference(forward_subsumption_resolution,[],[f423,f245]) ).
fof(f426,definition,
( spl22_15
<=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl22_15])],[avatar_definition]) ).
fof(f427,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl22_15 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f429,definition,
( spl22_16
<=> aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm)) ),
introduced(definition,[new_symbols(definition,[spl22_16])],[avatar_definition]) ).
fof(f430,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| spl22_16 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f432,definition,
( spl22_17
<=> sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl22_17])],[avatar_definition]) ).
fof(f433,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| spl22_17 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f435,definition,
( spl22_18
<=> sdtpldt0(xn,xm) = sdtpldt0(sdtsldt0(xn,xr),xm) ),
introduced(definition,[new_symbols(definition,[spl22_18])],[avatar_definition]) ).
fof(f436,plain,
( sdtpldt0(xn,xm) = sdtpldt0(sdtsldt0(xn,xr),xm)
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f437,plain,
( ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| spl22_18
| spl22_4 ),
inference(avatar_split_clause,[],[f424,f373,f435,f432,f429,f426]) ).
fof(f439,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl22_15 ),
inference(resolution,[],[f180,f427]) ).
fof(f441,plain,
( ~ aNaturalNumber0(xm)
| spl22_15 ),
inference(forward_subsumption_resolution,[],[f439,f247]) ).
fof(f442,plain,
( $false
| spl22_15 ),
inference(forward_subsumption_resolution,[],[f441,f246]) ).
fof(f443,plain,
spl22_15,
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f445,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xm)
| spl22_16 ),
inference(resolution,[],[f430,f180]) ).
fof(f447,plain,
( ~ aNaturalNumber0(xm)
| ~ spl22_3
| spl22_16 ),
inference(forward_subsumption_resolution,[],[f445,f370]) ).
fof(f448,plain,
( $false
| ~ spl22_3
| spl22_16 ),
inference(forward_subsumption_resolution,[],[f447,f246]) ).
fof(f449,plain,
( ~ spl22_3
| spl22_16 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f450,plain,
( ~ aNaturalNumber0(xm)
| xn = sdtsldt0(xn,xr)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| spl22_17 ),
inference(resolution,[],[f433,f212]) ).
fof(f451,plain,
( xn = sdtsldt0(xn,xr)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| spl22_17 ),
inference(forward_subsumption_resolution,[],[f450,f246]) ).
fof(f452,plain,
( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| spl22_17 ),
inference(forward_subsumption_resolution,[],[f451,f328]) ).
fof(f453,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| spl22_17 ),
inference(forward_subsumption_resolution,[],[f452,f321]) ).
fof(f454,plain,
( ~ aNaturalNumber0(xn)
| ~ spl22_3
| spl22_17 ),
inference(forward_subsumption_resolution,[],[f453,f370]) ).
fof(f455,plain,
( $false
| ~ spl22_3
| spl22_17 ),
inference(forward_subsumption_resolution,[],[f454,f247]) ).
fof(f456,plain,
( ~ spl22_3
| spl22_17 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f475,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtsldt0(xn,xr),X0) = sdtpldt0(X0,sdtsldt0(xn,xr)) )
| ~ spl22_3 ),
inference(resolution,[],[f182,f370]) ).
fof(f477,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) = sdtpldt0(X0,xm) ),
inference(resolution,[],[f182,f246]) ).
fof(f505,plain,
( sdtpldt0(sdtsldt0(xn,xr),xm) = sdtpldt0(xm,sdtsldt0(xn,xr))
| ~ spl22_3 ),
inference(resolution,[],[f475,f246]) ).
fof(f512,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(resolution,[],[f477,f247]) ).
fof(f591,plain,
( $false
| ~ spl22_3
| ~ spl22_18 ),
inference(unit_resulting_resolution,[],[f194,f247,f246,f370,f328,f436]) ).
fof(f597,plain,
( ~ spl22_3
| ~ spl22_18 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f604,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(X0,xp)
| sdtpldt0(sdtsldt0(xn,xr),xm) = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X0) )
| ~ spl22_2 ),
inference(superposition,[],[f194,f366]) ).
fof(f627,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(X0,xp)
| sdtpldt0(sdtsldt0(xn,xr),xm) = X0
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X0) )
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f604,f245]) ).
fof(f640,plain,
( ! [X0] :
( sdtpldt0(xm,sdtsldt0(xn,xr)) = X0
| sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X0) )
| ~ spl22_2
| ~ spl22_3 ),
inference(forward_demodulation,[],[f627,f505]) ).
fof(f653,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xn,xr)))
| sdtpldt0(xm,sdtsldt0(xn,xr)) = X0
| sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(X0,xp)
| ~ aNaturalNumber0(X0) )
| ~ spl22_2
| ~ spl22_3 ),
inference(forward_demodulation,[],[f640,f505]) ).
fof(f658,definition,
( spl22_20
<=> aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xn,xr))) ),
introduced(definition,[new_symbols(definition,[spl22_20])],[avatar_definition]) ).
fof(f659,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xn,xr)))
| spl22_20 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f688,definition,
( spl22_26
<=> ! [X0] :
( sdtpldt0(xm,sdtsldt0(xn,xr)) = X0
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(X0,xp) ) ),
introduced(definition,[new_symbols(definition,[spl22_26])],[avatar_definition]) ).
fof(f689,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(X0,xp)
| ~ aNaturalNumber0(X0)
| sdtpldt0(xm,sdtsldt0(xn,xr)) = X0 )
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f691,plain,
( spl22_26
| ~ spl22_20
| ~ spl22_2
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f653,f369,f365,f658,f688]) ).
fof(f714,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl22_20 ),
inference(resolution,[],[f659,f180]) ).
fof(f716,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl22_20 ),
inference(forward_subsumption_resolution,[],[f714,f246]) ).
fof(f717,plain,
( $false
| ~ spl22_3
| spl22_20 ),
inference(forward_subsumption_resolution,[],[f716,f370]) ).
fof(f718,plain,
( ~ spl22_3
| spl22_20 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f728,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| sdtpldt0(xn,xm) = sdtpldt0(xm,sdtsldt0(xn,xr))
| ~ spl22_26 ),
inference(equality_resolution,[],[f689]) ).
fof(f731,definition,
( spl22_32
<=> sdtpldt0(xn,xm) = sdtpldt0(xm,sdtsldt0(xn,xr)) ),
introduced(definition,[new_symbols(definition,[spl22_32])],[avatar_definition]) ).
fof(f732,plain,
( sdtpldt0(xn,xm) = sdtpldt0(xm,sdtsldt0(xn,xr))
| ~ spl22_32 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f733,plain,
( spl22_32
| ~ spl22_15
| ~ spl22_26 ),
inference(avatar_split_clause,[],[f728,f688,f426,f731]) ).
fof(f907,plain,
( ! [X0] :
( sdtpldt0(xn,xm) != sdtpldt0(xm,X0)
| sdtsldt0(xn,xr) = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) )
| ~ spl22_32 ),
inference(superposition,[],[f195,f732]) ).
fof(f910,plain,
( ! [X0] :
( sdtpldt0(xn,xm) != sdtpldt0(xm,X0)
| sdtsldt0(xn,xr) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) )
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f907,f246]) ).
fof(f914,plain,
( ! [X0] :
( sdtpldt0(xn,xm) != sdtpldt0(xm,X0)
| sdtsldt0(xn,xr) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl22_3
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f910,f370]) ).
fof(f1755,plain,
( sdtpldt0(xn,xm) != sdtpldt0(xn,xm)
| xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xn)
| ~ spl22_3
| ~ spl22_32 ),
inference(superposition,[],[f914,f512]) ).
fof(f1756,plain,
( xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xn)
| ~ spl22_3
| ~ spl22_32 ),
inference(trivial_inequality_removal,[],[f1755]) ).
fof(f1758,plain,
( ~ aNaturalNumber0(xn)
| ~ spl22_3
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f1756,f328]) ).
fof(f1760,plain,
( $false
| ~ spl22_3
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f1758,f247]) ).
fof(f1761,plain,
( ~ spl22_3
| ~ spl22_32 ),
inference(avatar_contradiction_clause,[],[f1760]) ).
cnf(s3,plain,
( spl22_2
| ~ spl22_4 ),
inference(sat_conversion,[],[f375]) ).
cnf(s10,plain,
spl22_3,
inference(sat_conversion,[],[f385]) ).
cnf(s27,plain,
( spl22_4
| ~ spl22_15
| ~ spl22_16
| ~ spl22_17
| spl22_18 ),
inference(sat_conversion,[],[f437]) ).
cnf(s29,plain,
spl22_15,
inference(sat_conversion,[],[f443]) ).
cnf(s31,plain,
( ~ spl22_3
| spl22_16 ),
inference(sat_conversion,[],[f449]) ).
cnf(s32,plain,
( ~ spl22_3
| spl22_17 ),
inference(sat_conversion,[],[f456]) ).
cnf(s34,plain,
( ~ spl22_3
| ~ spl22_18 ),
inference(sat_conversion,[],[f597]) ).
cnf(s42,plain,
( ~ spl22_2
| ~ spl22_3
| ~ spl22_20
| spl22_26 ),
inference(sat_conversion,[],[f691]) ).
cnf(s49,plain,
( ~ spl22_3
| spl22_20 ),
inference(sat_conversion,[],[f718]) ).
cnf(s50,plain,
( ~ spl22_15
| ~ spl22_26
| spl22_32 ),
inference(sat_conversion,[],[f733]) ).
cnf(s77,plain,
( ~ spl22_3
| ~ spl22_32 ),
inference(sat_conversion,[],[f1761]) ).
cnf(s78,plain,
( spl22_4
| ~ spl22_16
| ~ spl22_17
| spl22_18 ),
inference(rat,[],[s27,s29]) ).
cnf(s79,plain,
~ spl22_32,
inference(rat,[],[s77,s10]) ).
cnf(s81,plain,
spl22_20,
inference(rat,[],[s49,s10]) ).
cnf(s82,plain,
~ spl22_18,
inference(rat,[],[s34,s10]) ).
cnf(s83,plain,
spl22_17,
inference(rat,[],[s32,s10]) ).
cnf(s84,plain,
spl22_16,
inference(rat,[],[s31,s10]) ).
cnf(s85,plain,
~ spl22_26,
inference(rat,[],[s50,s29,s79]) ).
cnf(s87,plain,
spl22_4,
inference(rat,[],[s78,s82,s83,s84]) ).
cnf(s88,plain,
~ spl22_2,
inference(rat,[],[s42,s10,s81,s85]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s3,s87,s88]) ).
fof(f1763,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM516+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:12:51 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.09/2.04 % (2907053)Detected formulas, will run a generic FOF schedule.
% 5.09/2.04 % (2907061)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3615458170:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.09/2.04 % (2907061)Instruction limit reached!
% 5.09/2.04 % (2907061)------------------------------
% 5.09/2.04 % (2907061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907061)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907061)Termination reason: Instruction limit
% 5.09/2.04 % (2907061)Termination phase: Saturation
% 5.09/2.04 % (2907061)Time elapsed: 0.035 s
% 5.09/2.04 % (2907061)Peak memory usage: 89 MB
% 5.09/2.04 % (2907061)Instructions burned: 111 (million)
% 5.09/2.04 % (2907062)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2714953465:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.09/2.04 % (2907063)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1389139633:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.09/2.04 % (2907058)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=1397253334:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.09/2.04 % (2907059)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=82379667:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.09/2.04 % (2907060)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=2237314288:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.09/2.04 % (2907064)dis-21_1_sil=8000:lcm=predicate:random_seed=2061957693: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)
% 5.09/2.04 % (2907062)Instruction limit reached!
% 5.09/2.04 % (2907062)------------------------------
% 5.09/2.04 % (2907062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907062)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907062)Termination reason: Instruction limit
% 5.09/2.04 % (2907062)Termination phase: Saturation
% 5.09/2.04 % (2907062)Time elapsed: 0.066 s
% 5.09/2.04 % (2907062)Peak memory usage: 88 MB
% 5.09/2.04 % (2907062)Instructions burned: 120 (million)
% 5.09/2.04 % (2907071)lrs+10_1_sil=8000:sp=occurrence:random_seed=2803074550:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.09/2.04 % (2907064)Instruction limit reached!
% 5.09/2.04 % (2907064)------------------------------
% 5.09/2.04 % (2907064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907064)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907064)Termination reason: Instruction limit
% 5.09/2.04 % (2907064)Termination phase: Saturation
% 5.09/2.04 % (2907064)Time elapsed: 0.081 s
% 5.09/2.04 % (2907064)Peak memory usage: 91 MB
% 5.09/2.04 % (2907064)Instructions burned: 130 (million)
% 5.09/2.04 % (2907063)Instruction limit reached!
% 5.09/2.04 % (2907063)------------------------------
% 5.09/2.04 % (2907063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907063)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907063)Termination reason: Instruction limit
% 5.09/2.04 % (2907063)Termination phase: Saturation
% 5.09/2.04 % (2907063)Time elapsed: 0.096 s
% 5.09/2.04 % (2907063)Peak memory usage: 90 MB
% 5.09/2.04 % (2907063)Instructions burned: 140 (million)
% 5.09/2.04 % (2907071)Instruction limit reached!
% 5.09/2.04 % (2907071)------------------------------
% 5.09/2.04 % (2907071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907071)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907071)Termination reason: Instruction limit
% 5.09/2.04 % (2907071)Termination phase: Saturation
% 5.09/2.04 % (2907071)Time elapsed: 0.089 s
% 5.09/2.04 % (2907071)Peak memory usage: 92 MB
% 5.09/2.04 % (2907071)Instructions burned: 287 (million)
% 5.09/2.04 % (2907073)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1885692351:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.09/2.04 % (2907075)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2056645803:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.09/2.04 % (2907076)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=1701246822:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.09/2.04 % (2907077)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2427298511:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.09/2.04 % (2907073)Instruction limit reached!
% 5.09/2.04 % (2907073)------------------------------
% 5.09/2.04 % (2907073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907073)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907073)Termination reason: Instruction limit
% 5.09/2.04 % (2907073)Termination phase: Saturation
% 5.09/2.04 % (2907073)Time elapsed: 0.077 s
% 5.09/2.04 % (2907073)Peak memory usage: 91 MB
% 5.09/2.04 % (2907073)Instructions burned: 158 (million)
% 5.09/2.04 % (2907076)Instruction limit reached!
% 5.09/2.04 % (2907076)------------------------------
% 5.09/2.04 % (2907076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907076)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907076)Termination reason: Instruction limit
% 5.09/2.04 % (2907076)Termination phase: Saturation
% 5.09/2.04 % (2907076)Time elapsed: 0.121 s
% 5.09/2.04 % (2907076)Peak memory usage: 97 MB
% 5.09/2.04 % (2907076)Instructions burned: 249 (million)
% 5.09/2.04 % (2907077)Instruction limit reached!
% 5.09/2.04 % (2907077)------------------------------
% 5.09/2.04 % (2907077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907077)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907077)Termination reason: Instruction limit
% 5.09/2.04 % (2907077)Termination phase: Saturation
% 5.09/2.04 % (2907077)Time elapsed: 0.084 s
% 5.09/2.04 % (2907077)Peak memory usage: 90 MB
% 5.09/2.04 % (2907077)Instructions burned: 296 (million)
% 5.09/2.04 % (2907082)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3216367702:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.09/2.04 % (2907075)Instruction limit reached!
% 5.09/2.04 % (2907075)------------------------------
% 5.09/2.04 % (2907075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907075)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907075)Termination reason: Instruction limit
% 5.09/2.04 % (2907075)Termination phase: Saturation
% 5.09/2.04 % (2907075)Time elapsed: 0.203 s
% 5.09/2.04 % (2907075)Peak memory usage: 92 MB
% 5.09/2.04 % (2907075)Instructions burned: 326 (million)
% 5.09/2.04 % (2907083)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3590070553:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.09/2.04 % (2907083)Instruction limit reached!
% 5.09/2.04 % (2907083)------------------------------
% 5.09/2.04 % (2907083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907083)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907083)Termination reason: Instruction limit
% 5.09/2.04 % (2907083)Termination phase: Saturation
% 5.09/2.04 % (2907083)Time elapsed: 0.036 s
% 5.09/2.04 % (2907083)Peak memory usage: 91 MB
% 5.09/2.04 % (2907083)Instructions burned: 115 (million)
% 5.09/2.04 % (2907084)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=364527498:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 5.09/2.04 % (2907084)Instruction limit reached!
% 5.09/2.04 % (2907084)------------------------------
% 5.09/2.04 % (2907084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907084)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907084)Termination reason: Instruction limit
% 5.09/2.04 % (2907084)Termination phase: Saturation
% 5.09/2.04 % (2907084)Time elapsed: 0.064 s
% 5.09/2.04 % (2907084)Peak memory usage: 89 MB
% 5.09/2.04 % (2907084)Instructions burned: 129 (million)
% 5.09/2.04 % (2907087)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2208473865:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.09/2.04 % (2907089)lrs+10_1_sil=8000:sp=occurrence:random_seed=1181691960:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 5.09/2.04 % (2907087)Instruction limit reached!
% 5.09/2.04 % (2907087)------------------------------
% 5.09/2.04 % (2907087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907087)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907087)Termination reason: Instruction limit
% 5.09/2.04 % (2907087)Termination phase: Saturation
% 5.09/2.04 % (2907087)Time elapsed: 0.060 s
% 5.09/2.04 % (2907087)Peak memory usage: 89 MB
% 5.09/2.04 % (2907087)Instructions burned: 115 (million)
% 5.09/2.04 % (2907090)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2488812900:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 5.09/2.04 % (2907093)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3692795066:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.09/2.04 % (2907059)First to succeed.
% 5.09/2.04 % (2907059)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2907053"
% 5.09/2.04 % (2907089)Instruction limit reached!
% 5.09/2.04 % (2907089)------------------------------
% 5.09/2.04 % (2907089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907089)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907089)Termination reason: Instruction limit
% 5.09/2.04 % (2907089)Termination phase: Saturation
% 5.09/2.04 % (2907089)Time elapsed: 0.288 s
% 5.09/2.04 % (2907089)Peak memory usage: 99 MB
% 5.09/2.04 % (2907089)Instructions burned: 908 (million)
% 5.09/2.04 % (2907058)Also succeeded, but the first one will report.
% 5.09/2.04 % (2907090)Instruction limit reached!
% 5.09/2.04 % (2907090)------------------------------
% 5.09/2.04 % (2907090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907090)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907090)Termination reason: Instruction limit
% 5.09/2.04 % (2907090)Termination phase: Saturation
% 5.09/2.04 % (2907090)Time elapsed: 0.258 s
% 5.09/2.04 % (2907090)Peak memory usage: 93 MB
% 5.09/2.04 % (2907090)Instructions burned: 437 (million)
% 5.09/2.04 % (2907096)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=760760052:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 5.09/2.04 % (2907096)Instruction limit reached!
% 5.09/2.04 % (2907096)------------------------------
% 5.09/2.04 % (2907096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2907096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2907096)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2907096)Termination reason: Instruction limit
% 5.09/2.04 % (2907096)Termination phase: Saturation
% 5.09/2.04 % (2907096)Time elapsed: 0.036 s
% 5.09/2.04 % (2907096)Peak memory usage: 92 MB
% 5.09/2.04 % (2907096)Instructions burned: 136 (million)
% 5.09/2.04 % (2907059)Refutation found. Thanks to Tanya!
% 5.09/2.04 % SZS status Theorem for theBenchmark
% 5.09/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.13 % (2907059)------------------------------
% 0.15/2.13 % (2907059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.13 % (2907059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.13 % (2907059)CaDiCaL version: 2.1.3
% 0.15/2.13 % (2907059)Termination reason: Refutation
% 0.15/2.13 % (2907059)Time elapsed: 0.778 s
% 0.15/2.13 % (2907059)Peak memory usage: 132 MB
% 0.15/2.13 % (2907059)Instructions burned: 1173 (million)
% 0.15/2.13 % (2907059)------------------------------
% 0.15/2.13 % (2907059)------------------------------
% 0.15/2.13 % (2907053)Success in time 1.189 s
% 0.15/2.13 % Vampire exiting
%------------------------------------------------------------------------------