%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX209+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:46:10 PM UTC 2026
% Result : Theorem 34.58s 10.83s
% Output : Refutation 74.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 137 ( 28 unt; 10 def)
% Number of atoms : 302 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 346 ( 181 ~; 137 |; 11 &)
% ( 14 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 132 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,axiom,
eps2(eps),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_037) ).
fof(f38,axiom,
! [X0,X1] :
( eps2(x(X0,X1))
<=> ( eps2(X0)
| eps2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_038) ).
fof(f39,axiom,
! [X0,X1] :
( eps2(y(X0,X1))
<=> ( eps2(X0)
& eps2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_039) ).
fof(f40,axiom,
! [X0] : eps2(star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_040) ).
fof(f42,axiom,
! [X0,X1] :
( X1 = X0
=> step(atom(X1),X0) = eps ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_042) ).
fof(f44,axiom,
! [X0,X1,X2] : step(x(X1,X2),X0) = x(step(X1,X0),step(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_044) ).
fof(f45,axiom,
! [X0,X1,X2] :
( eps2(X1)
=> step(y(X1,X2),X0) = x(y(step(X1,X0),X2),step(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_045) ).
fof(f46,axiom,
! [X0,X1,X2] :
( ~ eps2(X1)
=> step(y(X1,X2),X0) = x(y(step(X1,X0),X2),nil2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_046) ).
fof(f47,axiom,
! [X0,X1] : step(star(X1),X0) = y(step(X1,X0),star(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_047) ).
fof(f48,axiom,
! [X0] :
( rec(X0,nil)
<=> eps2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_048) ).
fof(f49,axiom,
! [X0,X1,X2] :
( rec(X0,cons(X1,X2))
<=> rec(step(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_049) ).
fof(f50,conjecture,
? [X0] : rec(X0,cons(a,cons(a,cons(b,cons(b,nil))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_050) ).
fof(f51,negated_conjecture,
~ ? [X0] : rec(X0,cons(a,cons(a,cons(b,cons(b,nil))))),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f52,plain,
! [X0] : ~ rec(X0,cons(a,cons(a,cons(b,cons(b,nil))))),
inference(ennf_transformation,[],[f51]) ).
fof(f53,plain,
! [X0,X1,X2] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),nil2)
| eps2(X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f54,plain,
! [X0,X1,X2] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),step(X2,X0))
| ~ eps2(X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f56,plain,
! [X0,X1] :
( step(atom(X1),X0) = eps
| X0 != X1 ),
inference(ennf_transformation,[],[f42]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( rec(X0,cons(X1,X2))
| ~ rec(step(X0,X1),X2) )
& ( rec(step(X0,X1),X2)
| ~ rec(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f58,plain,
! [X0] :
( ( rec(X0,nil)
| ~ eps2(X0) )
& ( eps2(X0)
| ~ rec(X0,nil) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f59,plain,
! [X0,X1] :
( ( eps2(y(X0,X1))
| ~ eps2(X0)
| ~ eps2(X1) )
& ( ( eps2(X0)
& eps2(X1) )
| ~ eps2(y(X0,X1)) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f60,plain,
! [X0,X1] :
( ( eps2(y(X0,X1))
| ~ eps2(X0)
| ~ eps2(X1) )
& ( ( eps2(X0)
& eps2(X1) )
| ~ eps2(y(X0,X1)) ) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( ( eps2(x(X0,X1))
| ( ~ eps2(X0)
& ~ eps2(X1) ) )
& ( eps2(X0)
| eps2(X1)
| ~ eps2(x(X0,X1)) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f62,plain,
! [X0,X1] :
( ( eps2(x(X0,X1))
| ( ~ eps2(X0)
& ~ eps2(X1) ) )
& ( eps2(X0)
| eps2(X1)
| ~ eps2(x(X0,X1)) ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] : ~ rec(X0,cons(a,cons(a,cons(b,cons(b,nil))))),
inference(cnf_transformation,[],[f52]) ).
fof(f65,plain,
! [X2,X0,X1] :
( rec(X0,cons(X1,X2))
| ~ rec(step(X0,X1),X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f67,plain,
! [X0] :
( rec(X0,nil)
| ~ eps2(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f70,plain,
! [X0,X1] : step(star(X1),X0) = y(step(X1,X0),star(X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f71,plain,
! [X2,X0,X1] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),nil2)
| eps2(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f72,plain,
! [X2,X0,X1] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),step(X2,X0))
| ~ eps2(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f73,plain,
! [X2,X0,X1] : step(x(X1,X2),X0) = x(step(X1,X0),step(X2,X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f75,plain,
! [X0,X1] :
( eps = step(atom(X1),X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f56]) ).
fof(f76,plain,
! [X0] : eps2(star(X0)),
inference(cnf_transformation,[],[f40]) ).
fof(f79,plain,
! [X0,X1] :
( eps2(y(X0,X1))
| ~ eps2(X0)
| ~ eps2(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f81,plain,
! [X0,X1] :
( eps2(x(X0,X1))
| ~ eps2(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f82,plain,
! [X0,X1] :
( eps2(x(X0,X1))
| ~ eps2(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f83,plain,
eps2(eps),
inference(cnf_transformation,[],[f37]) ).
fof(f84,plain,
! [X1] : eps = step(atom(X1),X1),
inference(equality_resolution,[],[f75]) ).
fof(f85,plain,
! [X0] : ~ rec(step(X0,a),cons(a,cons(b,cons(b,nil)))),
inference(resolution,[],[f63,f65]) ).
fof(f88,plain,
! [X0] : ~ rec(step(step(X0,a),a),cons(b,cons(b,nil))),
inference(resolution,[],[f85,f65]) ).
fof(f124,plain,
! [X0,X1] :
( ~ rec(step(x(y(step(X0,a),X1),step(X1,a)),a),cons(b,cons(b,nil)))
| ~ eps2(X0) ),
inference(superposition,[],[f88,f72]) ).
fof(f125,plain,
! [X0,X1] :
( ~ rec(step(x(y(step(X0,a),X1),nil2),a),cons(b,cons(b,nil)))
| eps2(X0) ),
inference(superposition,[],[f88,f71]) ).
fof(f127,plain,
! [X0,X1] :
( ~ rec(x(step(y(step(X0,a),X1),a),step(nil2,a)),cons(b,cons(b,nil)))
| eps2(X0) ),
inference(forward_demodulation,[],[f125,f73]) ).
fof(f128,plain,
! [X0,X1] :
( ~ rec(x(step(y(step(X0,a),X1),a),step(step(X1,a),a)),cons(b,cons(b,nil)))
| ~ eps2(X0) ),
inference(forward_demodulation,[],[f124,f73]) ).
fof(f196,definition,
( spl0_3
<=> eps2(eps) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f198,plain,
( ~ eps2(eps)
| spl0_3 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f204,plain,
( $false
| spl0_3 ),
inference(unit_resulting_resolution,[],[f198,f83]) ).
fof(f207,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f1009,definition,
( spl0_27
<=> eps2(atom(a)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1945,plain,
! [X0] :
( ~ rec(x(step(y(eps,X0),a),step(nil2,a)),cons(b,cons(b,nil)))
| eps2(atom(a)) ),
inference(superposition,[],[f127,f84]) ).
fof(f2871,plain,
! [X0] :
( ~ rec(x(step(y(eps,X0),a),step(step(X0,a),a)),cons(b,cons(b,nil)))
| ~ eps2(atom(a)) ),
inference(superposition,[],[f128,f84]) ).
fof(f7560,definition,
( spl0_240
<=> ! [X0] : ~ rec(x(step(y(eps,X0),a),step(step(X0,a),a)),cons(b,cons(b,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
fof(f7561,plain,
( ! [X0] : ~ rec(x(step(y(eps,X0),a),step(step(X0,a),a)),cons(b,cons(b,nil)))
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f7560]) ).
fof(f7562,plain,
( ~ spl0_27
| spl0_240 ),
inference(avatar_split_clause,[],[f2871,f7560,f1009]) ).
fof(f7573,definition,
( spl0_243
<=> ! [X0] : ~ rec(x(step(y(eps,X0),a),step(nil2,a)),cons(b,cons(b,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
fof(f7574,plain,
( ! [X0] : ~ rec(x(step(y(eps,X0),a),step(nil2,a)),cons(b,cons(b,nil)))
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f7573]) ).
fof(f7575,plain,
( spl0_27
| spl0_243 ),
inference(avatar_split_clause,[],[f1945,f7573,f1009]) ).
fof(f7613,plain,
( ! [X0] : ~ rec(step(x(step(y(eps,X0),a),step(nil2,a)),b),cons(b,nil))
| ~ spl0_243 ),
inference(resolution,[],[f7574,f65]) ).
fof(f7617,plain,
( ! [X0] : ~ rec(x(step(step(y(eps,X0),a),b),step(step(nil2,a),b)),cons(b,nil))
| ~ spl0_243 ),
inference(forward_demodulation,[],[f7613,f73]) ).
fof(f7648,plain,
( ! [X0] : ~ rec(step(x(step(step(y(eps,X0),a),b),step(step(nil2,a),b)),b),nil)
| ~ spl0_243 ),
inference(resolution,[],[f7617,f65]) ).
fof(f7652,plain,
( ! [X0] : ~ rec(x(step(step(step(y(eps,X0),a),b),b),step(step(step(nil2,a),b),b)),nil)
| ~ spl0_243 ),
inference(forward_demodulation,[],[f7648,f73]) ).
fof(f7834,plain,
( ! [X0] : ~ eps2(x(step(step(step(y(eps,X0),a),b),b),step(step(step(nil2,a),b),b)))
| ~ spl0_243 ),
inference(resolution,[],[f7652,f67]) ).
fof(f7844,plain,
( ! [X0] : ~ eps2(step(step(step(y(eps,X0),a),b),b))
| ~ spl0_243 ),
inference(resolution,[],[f7834,f82]) ).
fof(f7853,plain,
( ! [X0] :
( ~ eps2(step(step(x(y(step(eps,a),X0),step(X0,a)),b),b))
| ~ eps2(eps) )
| ~ spl0_243 ),
inference(superposition,[],[f7844,f72]) ).
fof(f7855,plain,
( ! [X0] :
( ~ eps2(step(x(step(y(step(eps,a),X0),b),step(step(X0,a),b)),b))
| ~ eps2(eps) )
| ~ spl0_243 ),
inference(forward_demodulation,[],[f7853,f73]) ).
fof(f7856,plain,
( ! [X0] :
( ~ eps2(x(step(step(y(step(eps,a),X0),b),b),step(step(step(X0,a),b),b)))
| ~ eps2(eps) )
| ~ spl0_243 ),
inference(forward_demodulation,[],[f7855,f73]) ).
fof(f7858,definition,
( spl0_263
<=> ! [X0] : ~ eps2(x(step(step(y(step(eps,a),X0),b),b),step(step(step(X0,a),b),b))) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
fof(f7859,plain,
( ! [X0] : ~ eps2(x(step(step(y(step(eps,a),X0),b),b),step(step(step(X0,a),b),b)))
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f7858]) ).
fof(f7860,plain,
( ~ spl0_3
| spl0_263
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f7856,f7573,f7858,f196]) ).
fof(f7862,plain,
( ! [X0] : ~ eps2(step(step(step(X0,a),b),b))
| ~ spl0_263 ),
inference(resolution,[],[f7859,f81]) ).
fof(f7941,plain,
( ! [X0,X1] :
( ~ eps2(step(step(x(y(step(X0,a),X1),step(X1,a)),b),b))
| ~ eps2(X0) )
| ~ spl0_263 ),
inference(superposition,[],[f7862,f72]) ).
fof(f7942,plain,
( ! [X0,X1] :
( ~ eps2(step(step(x(y(step(X0,a),X1),nil2),b),b))
| eps2(X0) )
| ~ spl0_263 ),
inference(superposition,[],[f7862,f71]) ).
fof(f7944,plain,
( ! [X0,X1] :
( ~ eps2(step(x(step(y(step(X0,a),X1),b),step(nil2,b)),b))
| eps2(X0) )
| ~ spl0_263 ),
inference(forward_demodulation,[],[f7942,f73]) ).
fof(f7945,plain,
( ! [X0,X1] :
( ~ eps2(step(x(step(y(step(X0,a),X1),b),step(step(X1,a),b)),b))
| ~ eps2(X0) )
| ~ spl0_263 ),
inference(forward_demodulation,[],[f7941,f73]) ).
fof(f7952,plain,
( ! [X0,X1] :
( ~ eps2(x(step(step(y(step(X0,a),X1),b),b),step(step(nil2,b),b)))
| eps2(X0) )
| ~ spl0_263 ),
inference(forward_demodulation,[],[f7944,f73]) ).
fof(f7953,plain,
( ! [X0,X1] :
( ~ eps2(x(step(step(y(step(X0,a),X1),b),b),step(step(step(X1,a),b),b)))
| ~ eps2(X0) )
| ~ spl0_263 ),
inference(forward_demodulation,[],[f7945,f73]) ).
fof(f8175,definition,
( spl0_285
<=> eps2(x(y(step(eps,b),star(atom(b))),y(eps,star(atom(b))))) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
fof(f8177,plain,
( ~ eps2(x(y(step(eps,b),star(atom(b))),y(eps,star(atom(b)))))
| spl0_285 ),
inference(avatar_component_clause,[],[f8175]) ).
fof(f17959,definition,
( spl0_305
<=> eps2(y(eps,star(atom(b)))) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
fof(f17960,plain,
( ~ eps2(y(eps,star(atom(b))))
| spl0_305 ),
inference(avatar_component_clause,[],[f17959]) ).
fof(f17975,plain,
( $false
| spl0_305 ),
inference(unit_resulting_resolution,[],[f79,f83,f76,f17960]) ).
fof(f17977,plain,
spl0_305,
inference(avatar_contradiction_clause,[],[f17975]) ).
fof(f18100,plain,
( ~ eps2(y(eps,star(atom(b))))
| spl0_285 ),
inference(resolution,[],[f8177,f81]) ).
fof(f18103,plain,
( ~ spl0_305
| spl0_285 ),
inference(avatar_split_clause,[],[f18100,f8175,f17959]) ).
fof(f18220,definition,
( spl0_327
<=> eps2(step(y(eps,star(atom(b))),b)) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
fof(f18222,plain,
( ~ eps2(step(y(eps,star(atom(b))),b))
| spl0_327 ),
inference(avatar_component_clause,[],[f18220]) ).
fof(f18234,plain,
( ~ eps2(x(y(step(eps,b),star(atom(b))),step(star(atom(b)),b)))
| ~ eps2(eps)
| spl0_327 ),
inference(superposition,[],[f18222,f72]) ).
fof(f18236,plain,
( ~ eps2(x(y(step(eps,b),star(atom(b))),y(step(atom(b),b),star(atom(b)))))
| ~ eps2(eps)
| spl0_327 ),
inference(forward_demodulation,[],[f18234,f70]) ).
fof(f18237,plain,
( ~ eps2(x(y(step(eps,b),star(atom(b))),y(eps,star(atom(b)))))
| ~ eps2(eps)
| spl0_327 ),
inference(forward_demodulation,[],[f18236,f84]) ).
fof(f18238,plain,
( ~ spl0_3
| ~ spl0_285
| spl0_327 ),
inference(avatar_split_clause,[],[f18237,f18220,f8175,f196]) ).
fof(f18449,plain,
( ! [X0,X1] :
( ~ eps2(step(step(y(step(X0,a),X1),b),b))
| eps2(X0) )
| ~ spl0_263 ),
inference(resolution,[],[f7952,f82]) ).
fof(f18465,plain,
( ! [X0] :
( ~ eps2(step(step(y(eps,X0),b),b))
| eps2(atom(a)) )
| ~ spl0_263 ),
inference(superposition,[],[f18449,f84]) ).
fof(f18475,definition,
( spl0_338
<=> ! [X0] : ~ eps2(step(step(y(eps,X0),b),b)) ),
introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).
fof(f18476,plain,
( ! [X0] : ~ eps2(step(step(y(eps,X0),b),b))
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f18475]) ).
fof(f18477,plain,
( spl0_27
| spl0_338
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f18465,f7858,f18475,f1009]) ).
fof(f18478,plain,
( ! [X0] :
( ~ eps2(step(x(y(step(eps,b),X0),step(X0,b)),b))
| ~ eps2(eps) )
| ~ spl0_338 ),
inference(superposition,[],[f18476,f72]) ).
fof(f18480,plain,
( ! [X0] :
( ~ eps2(x(step(y(step(eps,b),X0),b),step(step(X0,b),b)))
| ~ eps2(eps) )
| ~ spl0_338 ),
inference(forward_demodulation,[],[f18478,f73]) ).
fof(f18482,definition,
( spl0_339
<=> ! [X0] : ~ eps2(x(step(y(step(eps,b),X0),b),step(step(X0,b),b))) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
fof(f18483,plain,
( ! [X0] : ~ eps2(x(step(y(step(eps,b),X0),b),step(step(X0,b),b)))
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f18482]) ).
fof(f18484,plain,
( ~ spl0_3
| spl0_339
| ~ spl0_338 ),
inference(avatar_split_clause,[],[f18480,f18475,f18482,f196]) ).
fof(f18494,plain,
( ! [X0] : ~ eps2(step(step(X0,b),b))
| ~ spl0_339 ),
inference(resolution,[],[f18483,f81]) ).
fof(f18528,plain,
( ! [X0] : ~ eps2(step(y(step(X0,b),star(X0)),b))
| ~ spl0_339 ),
inference(superposition,[],[f18494,f70]) ).
fof(f18539,plain,
( ~ eps2(step(y(eps,star(atom(b))),b))
| ~ spl0_339 ),
inference(superposition,[],[f18528,f84]) ).
fof(f18547,plain,
( ~ spl0_327
| ~ spl0_339 ),
inference(avatar_split_clause,[],[f18539,f18482,f18220]) ).
fof(f18609,plain,
( ! [X0] : ~ rec(step(x(step(y(eps,X0),a),step(step(X0,a),a)),b),cons(b,nil))
| ~ spl0_240 ),
inference(resolution,[],[f7561,f65]) ).
fof(f18622,plain,
( ! [X0] : ~ rec(x(step(step(y(eps,X0),a),b),step(step(step(X0,a),a),b)),cons(b,nil))
| ~ spl0_240 ),
inference(forward_demodulation,[],[f18609,f73]) ).
fof(f18904,plain,
( ! [X0] : ~ rec(step(x(step(step(y(eps,X0),a),b),step(step(step(X0,a),a),b)),b),nil)
| ~ spl0_240 ),
inference(resolution,[],[f18622,f65]) ).
fof(f18917,plain,
( ! [X0] : ~ rec(x(step(step(step(y(eps,X0),a),b),b),step(step(step(step(X0,a),a),b),b)),nil)
| ~ spl0_240 ),
inference(forward_demodulation,[],[f18904,f73]) ).
fof(f20789,plain,
( ! [X0,X1] :
( ~ eps2(step(step(y(step(X0,a),X1),b),b))
| ~ eps2(X0) )
| ~ spl0_263 ),
inference(resolution,[],[f7953,f82]) ).
fof(f20821,plain,
( ! [X0] :
( ~ eps2(step(step(y(eps,X0),b),b))
| ~ eps2(atom(a)) )
| ~ spl0_263 ),
inference(superposition,[],[f20789,f84]) ).
fof(f20830,plain,
( ~ spl0_27
| spl0_338
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f20821,f7858,f18475,f1009]) ).
fof(f27121,plain,
( ! [X0] : ~ eps2(x(step(step(step(y(eps,X0),a),b),b),step(step(step(step(X0,a),a),b),b)))
| ~ spl0_240 ),
inference(resolution,[],[f18917,f67]) ).
fof(f27146,plain,
( ! [X0] : ~ eps2(step(step(step(y(eps,X0),a),b),b))
| ~ spl0_240 ),
inference(resolution,[],[f27121,f82]) ).
fof(f27170,plain,
( ! [X0] :
( ~ eps2(step(step(x(y(step(eps,a),X0),step(X0,a)),b),b))
| ~ eps2(eps) )
| ~ spl0_240 ),
inference(superposition,[],[f27146,f72]) ).
fof(f27172,plain,
( ! [X0] :
( ~ eps2(step(x(step(y(step(eps,a),X0),b),step(step(X0,a),b)),b))
| ~ eps2(eps) )
| ~ spl0_240 ),
inference(forward_demodulation,[],[f27170,f73]) ).
fof(f27173,plain,
( ! [X0] :
( ~ eps2(x(step(step(y(step(eps,a),X0),b),b),step(step(step(X0,a),b),b)))
| ~ eps2(eps) )
| ~ spl0_240 ),
inference(forward_demodulation,[],[f27172,f73]) ).
fof(f27174,plain,
( ~ spl0_3
| spl0_263
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f27173,f7560,f7858,f196]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f207]) ).
cnf(s296,plain,
( ~ spl0_27
| spl0_240 ),
inference(sat_conversion,[],[f7562]) ).
cnf(s299,plain,
( spl0_27
| spl0_243 ),
inference(sat_conversion,[],[f7575]) ).
cnf(s325,plain,
( ~ spl0_3
| ~ spl0_243
| spl0_263 ),
inference(sat_conversion,[],[f7860]) ).
cnf(s2389,plain,
spl0_305,
inference(sat_conversion,[],[f17977]) ).
cnf(s2407,plain,
( spl0_285
| ~ spl0_305 ),
inference(sat_conversion,[],[f18103]) ).
cnf(s2423,plain,
( ~ spl0_3
| ~ spl0_285
| spl0_327 ),
inference(sat_conversion,[],[f18238]) ).
cnf(s2437,plain,
( spl0_27
| ~ spl0_263
| spl0_338 ),
inference(sat_conversion,[],[f18477]) ).
cnf(s2438,plain,
( ~ spl0_3
| ~ spl0_338
| spl0_339 ),
inference(sat_conversion,[],[f18484]) ).
cnf(s2446,plain,
( ~ spl0_327
| ~ spl0_339 ),
inference(sat_conversion,[],[f18547]) ).
cnf(s2508,plain,
( ~ spl0_27
| ~ spl0_263
| spl0_338 ),
inference(sat_conversion,[],[f20830]) ).
cnf(s2689,plain,
( ~ spl0_3
| ~ spl0_240
| spl0_263 ),
inference(sat_conversion,[],[f27174]) ).
cnf(s2698,plain,
spl0_285,
inference(rat,[],[s2407,s2389]) ).
cnf(s2959,plain,
spl0_327,
inference(rat,[],[s2423,s2698,s4]) ).
cnf(s2979,plain,
~ spl0_339,
inference(rat,[],[s2446,s2959]) ).
cnf(s2984,plain,
~ spl0_338,
inference(rat,[],[s2438,s4,s2979]) ).
cnf(s2990,plain,
spl0_27,
inference(rat,[],[s325,s299,s2437,s4,s2984]) ).
cnf(s2995,plain,
~ spl0_263,
inference(rat,[],[s2508,s2984,s2990]) ).
cnf(s3004,plain,
spl0_240,
inference(rat,[],[s296,s2990]) ).
cnf(s3009,plain,
$false,
inference(rat,[],[s2689,s4,s2995,s3004]) ).
fof(f27175,plain,
$false,
inference(avatar_sat_refutation,[],[s3009]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX209+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n006.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:10:55 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 8.64/1.79 % (4040874)Detected formulas, will run a generic FOF schedule.
% 8.64/1.79 % (4040884)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=753619854:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.64/1.79 % (4040883)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3401864294:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.64/1.79 % (4040880)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=3229435423:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.64/1.79 % (4040882)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2499157076:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.64/1.79 % (4040879)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=454967459:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.64/1.79 % (4040885)dis-21_1_sil=8000:lcm=predicate:random_seed=4248669448: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)
% 8.64/1.79 % (4040881)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=592026588:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.64/1.79 % (4040882)Refutation not found, incomplete strategy
% 8.64/1.79 % (4040882)------------------------------
% 8.64/1.79 % (4040882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.79 % (4040882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.79 % (4040882)CaDiCaL version: 2.1.3
% 8.64/1.79 % (4040882)Termination reason: Refutation not found, incomplete strategy
% 8.64/1.79 % (4040882)Time elapsed: 0.001 s
% 8.64/1.79 % (4040882)Peak memory usage: 87 MB
% 8.64/1.79 % (4040884)Instruction limit reached!
% 8.64/1.79 % (4040884)------------------------------
% 8.64/1.79 % (4040884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.79 % (4040884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.79 % (4040884)CaDiCaL version: 2.1.3
% 8.64/1.79 % (4040884)Termination reason: Instruction limit
% 8.64/1.79 % (4040884)Termination phase: Saturation
% 8.64/1.79 % (4040884)Time elapsed: 0.048 s
% 8.64/1.79 % (4040884)Peak memory usage: 90 MB
% 8.64/1.79 % (4040884)Instructions burned: 142 (million)
% 8.64/1.79 % (4040883)Instruction limit reached!
% 8.64/1.79 % (4040883)------------------------------
% 8.64/1.79 % (4040883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.79 % (4040883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.79 % (4040883)CaDiCaL version: 2.1.3
% 8.64/1.79 % (4040883)Termination reason: Instruction limit
% 8.64/1.79 % (4040883)Termination phase: Saturation
% 8.64/1.79 % (4040883)Time elapsed: 0.070 s
% 8.64/1.79 % (4040883)Peak memory usage: 88 MB
% 8.64/1.79 % (4040883)Instructions burned: 121 (million)
% 8.64/1.79 % (4040885)Instruction limit reached!
% 8.64/1.79 % (4040885)------------------------------
% 8.64/1.79 % (4040885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.79 % (4040885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.79 % (4040885)CaDiCaL version: 2.1.3
% 8.64/1.79 % (4040885)Termination reason: Instruction limit
% 8.64/1.79 % (4040885)Termination phase: Saturation
% 8.64/1.79 % (4040885)Time elapsed: 0.072 s
% 8.64/1.79 % (4040885)Peak memory usage: 89 MB
% 8.64/1.79 % (4040885)Instructions burned: 129 (million)
% 8.64/1.79 % (4040893)lrs+10_1_sil=8000:sp=occurrence:random_seed=1369323043:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.64/1.79 % (4040893)Instruction limit reached!
% 8.64/1.79 % (4040893)------------------------------
% 8.64/1.79 % (4040893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.79 % (4040893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.79 % (4040893)CaDiCaL version: 2.1.3
% 8.64/1.79 % (4040893)Termination reason: Instruction limit
% 8.64/1.79 % (4040893)Termination phase: Saturation
% 8.64/1.79 % (4040893)Time elapsed: 0.088 s
% 8.64/1.79 % (4040893)Peak memory usage: 91 MB
% 8.64/1.79 % (4040893)Instructions burned: 288 (million)
% 8.64/1.79 % (4040895)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2733495905:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 14.92/2.58 % (4040894)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1910230020:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.92/2.58 % (4040895)Refutation not found, incomplete strategy
% 14.92/2.58 % (4040895)------------------------------
% 14.92/2.58 % (4040895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.92/2.58 % (4040895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.92/2.58 % (4040895)CaDiCaL version: 2.1.3
% 14.92/2.58 % (4040895)Termination reason: Refutation not found, incomplete strategy
% 14.92/2.58 % (4040895)Time elapsed: 0.001 s
% 14.92/2.58 % (4040895)Peak memory usage: 88 MB
% 14.92/2.58 % (4040882)------------------------------
% 14.92/2.58 % (4040882)------------------------------
% 14.92/2.58 % (4040894)Instruction limit reached!
% 14.92/2.58 % (4040894)------------------------------
% 14.92/2.58 % (4040894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.92/2.58 % (4040894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.92/2.58 % (4040894)CaDiCaL version: 2.1.3
% 14.92/2.58 % (4040894)Termination reason: Instruction limit
% 14.92/2.58 % (4040894)Termination phase: Saturation
% 14.92/2.58 % (4040894)Time elapsed: 0.063 s
% 14.92/2.58 % (4040894)Peak memory usage: 88 MB
% 14.92/2.58 % (4040894)Instructions burned: 158 (million)
% 14.92/2.58 % (4040897)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=3783802655:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 14.92/2.58 % (4040900)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3106756384:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 14.92/2.58 % (4040897)Instruction limit reached!
% 14.92/2.58 % (4040897)------------------------------
% 14.92/2.58 % (4040897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.92/2.58 % (4040897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.92/2.58 % (4040897)CaDiCaL version: 2.1.3
% 14.92/2.58 % (4040897)Termination reason: Instruction limit
% 14.92/2.58 % (4040897)Termination phase: Saturation
% 14.92/2.58 % (4040897)Time elapsed: 0.081 s
% 14.92/2.58 % (4040897)Peak memory usage: 92 MB
% 14.92/2.58 % (4040897)Instructions burned: 250 (million)
% 14.92/2.58 % (4040901)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4273253217:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 14.92/2.58 % (4040895)------------------------------
% 14.92/2.58 % (4040895)------------------------------
% 14.92/2.58 % (4040904)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2651058988:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.92/2.58 % (4040900)Instruction limit reached!
% 14.92/2.58 % (4040900)------------------------------
% 14.92/2.58 % (4040900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.92/2.58 % (4040900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.92/2.58 % (4040900)CaDiCaL version: 2.1.3
% 14.92/2.58 % (4040900)Termination reason: Instruction limit
% 14.92/2.58 % (4040900)Termination phase: Saturation
% 14.92/2.58 % (4040904)Instruction limit reached!
% 14.92/2.58 % (4040904)------------------------------
% 14.92/2.58 % (4040904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.92/2.58 % (4040900)Time elapsed: 0.113 s
% 14.92/2.58 % (4040904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.92/2.58 % (4040900)Peak memory usage: 89 MB
% 14.92/2.58 % (4040900)Instructions burned: 296 (million)
% 14.92/2.58 % (4040904)CaDiCaL version: 2.1.3
% 14.92/2.58 % (4040904)Termination reason: Instruction limit
% 14.92/2.58 % (4040904)Termination phase: Saturation
% 14.92/2.58 % (4040904)Time elapsed: 0.024 s
% 14.92/2.58 % (4040904)Peak memory usage: 88 MB
% 14.92/2.58 % (4040904)Instructions burned: 116 (million)
% 14.92/2.58 % (4040908)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2980649272:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 14.92/2.58 % (4040908)Instruction limit reached!
% 14.92/2.58 % (4040908)------------------------------
% 14.92/2.58 % (4040908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.92/2.58 % (4040908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.92/2.58 % (4040908)CaDiCaL version: 2.1.3
% 47.22/7.11 % (4040908)Termination reason: Instruction limit
% 47.22/7.11 % (4040908)Termination phase: Saturation
% 47.22/7.11 % (4040908)Time elapsed: 0.025 s
% 47.22/7.11 % (4040908)Peak memory usage: 88 MB
% 47.22/7.11 % (4040908)Instructions burned: 115 (million)
% 47.22/7.11 % (4040907)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1237218225:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 47.22/7.11 % (4040909)lrs+10_1_sil=8000:sp=occurrence:random_seed=1849101925:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 47.22/7.11 % (4040907)Instruction limit reached!
% 47.22/7.11 % (4040907)------------------------------
% 47.22/7.11 % (4040907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.22/7.11 % (4040907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/7.11 % (4040907)CaDiCaL version: 2.1.3
% 47.22/7.11 % (4040907)Termination reason: Instruction limit
% 47.22/7.11 % (4040907)Termination phase: Saturation
% 47.22/7.11 % (4040907)Time elapsed: 0.060 s
% 47.22/7.11 % (4040907)Peak memory usage: 88 MB
% 47.22/7.11 % (4040907)Instructions burned: 127 (million)
% 47.22/7.11 % (4040912)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1561483031:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 47.22/7.11 % (4040912)Instruction limit reached!
% 47.22/7.11 % (4040912)------------------------------
% 47.22/7.11 % (4040912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.22/7.11 % (4040912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/7.11 % (4040912)CaDiCaL version: 2.1.3
% 47.22/7.11 % (4040912)Termination reason: Instruction limit
% 47.22/7.11 % (4040912)Termination phase: Saturation
% 47.22/7.11 % (4040912)Time elapsed: 0.089 s
% 47.22/7.11 % (4040912)Peak memory usage: 89 MB
% 47.22/7.11 % (4040912)Instructions burned: 438 (million)
% 47.22/7.11 % (4040914)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1110894322:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 47.22/7.11 % (4040916)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=26526233:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 47.22/7.11 % (4040916)Instruction limit reached!
% 47.22/7.11 % (4040916)------------------------------
% 47.22/7.11 % (4040916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.22/7.11 % (4040916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/7.11 % (4040916)CaDiCaL version: 2.1.3
% 47.22/7.11 % (4040916)Termination reason: Instruction limit
% 47.22/7.11 % (4040916)Termination phase: Saturation
% 47.22/7.11 % (4040916)Time elapsed: 0.040 s
% 47.22/7.11 % (4040916)Peak memory usage: 90 MB
% 47.22/7.11 % (4040916)Instructions burned: 137 (million)
% 47.22/7.11 % (4040919)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4292208227:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 47.22/7.11 % (4040909)Instruction limit reached!
% 47.22/7.11 % (4040909)------------------------------
% 47.22/7.11 % (4040909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.22/7.11 % (4040909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/7.11 % (4040909)CaDiCaL version: 2.1.3
% 47.22/7.11 % (4040909)Termination reason: Instruction limit
% 47.22/7.11 % (4040909)Termination phase: Saturation
% 47.22/7.11 % (4040909)Time elapsed: 0.508 s
% 47.22/7.11 % (4040909)Peak memory usage: 96 MB
% 47.22/7.11 % (4040909)Instructions burned: 908 (million)
% 47.22/7.11 % (4040919)Instruction limit reached!
% 47.22/7.11 % (4040919)------------------------------
% 47.22/7.11 % (4040919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.22/7.11 % (4040919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/7.11 % (4040919)CaDiCaL version: 2.1.3
% 47.22/7.11 % (4040919)Termination reason: Instruction limit
% 47.22/7.11 % (4040919)Termination phase: Saturation
% 47.22/7.11 % (4040919)Time elapsed: 0.164 s
% 47.22/7.11 % (4040919)Peak memory usage: 96 MB
% 47.22/7.11 % (4040919)Instructions burned: 594 (million)
% 47.22/7.11 % (4040922)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=1310983111:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 47.22/7.11 % (4040921)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=873988762:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 64.67/9.69 % (4040922)Instruction limit reached!
% 64.67/9.69 % (4040922)------------------------------
% 64.67/9.69 % (4040922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.67/9.69 % (4040922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.67/9.69 % (4040922)CaDiCaL version: 2.1.3
% 64.67/9.69 % (4040922)Termination reason: Instruction limit
% 64.67/9.69 % (4040922)Termination phase: Saturation
% 64.67/9.69 % (4040922)Time elapsed: 0.052 s
% 64.67/9.69 % (4040922)Peak memory usage: 91 MB
% 64.67/9.69 % (4040922)Instructions burned: 127 (million)
% 64.67/9.69 % (4040925)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=940838594:i=134:gtgl=5:slsql=off:gtg=exists_sym_2985 on theBenchmark for (2985ds/134Mi)
% 64.67/9.69 % (4040925)Instruction limit reached!
% 64.67/9.69 % (4040925)------------------------------
% 64.67/9.69 % (4040925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.67/9.69 % (4040925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.67/9.69 % (4040925)CaDiCaL version: 2.1.3
% 64.67/9.69 % (4040925)Termination reason: Instruction limit
% 64.67/9.69 % (4040925)Termination phase: Saturation
% 64.67/9.69 % (4040925)Time elapsed: 0.040 s
% 64.67/9.69 % (4040925)Peak memory usage: 90 MB
% 64.67/9.69 % (4040925)Instructions burned: 136 (million)
% 64.67/9.69 % (4040927)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1872526283:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/141Mi)
% 64.67/9.69 % (4040927)Refutation not found, incomplete strategy
% 64.67/9.69 % (4040927)------------------------------
% 64.67/9.69 % (4040927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.67/9.69 % (4040927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.67/9.69 % (4040927)CaDiCaL version: 2.1.3
% 64.67/9.69 % (4040927)Termination reason: Refutation not found, incomplete strategy
% 64.67/9.69 % (4040927)Time elapsed: 0.0000 s
% 64.67/9.69 % (4040927)Peak memory usage: 88 MB
% 64.67/9.69 % (4040927)------------------------------
% 64.67/9.69 % (4040927)------------------------------
% 64.67/9.69 % (4040929)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2544390214:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 64.67/9.69 % (4040929)Refutation not found, incomplete strategy
% 64.67/9.69 % (4040929)------------------------------
% 64.67/9.69 % (4040929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.67/9.69 % (4040929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.67/9.69 % (4040929)CaDiCaL version: 2.1.3
% 64.67/9.69 % (4040929)Termination reason: Refutation not found, incomplete strategy
% 64.67/9.69 % (4040929)Time elapsed: 0.0000 s
% 64.67/9.69 % (4040929)Peak memory usage: 88 MB
% 64.67/9.69 % (4040901)Instruction limit reached!
% 64.67/9.69 % (4040901)------------------------------
% 64.67/9.69 % (4040901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.67/9.69 % (4040901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.67/9.69 % (4040901)CaDiCaL version: 2.1.3
% 64.67/9.69 % (4040901)Termination reason: Instruction limit
% 64.67/9.69 % (4040901)Termination phase: Saturation
% 64.67/9.69 % (4040901)Time elapsed: 1.446 s
% 64.67/9.69 % (4040901)Peak memory usage: 139 MB
% 64.67/9.69 % (4040901)Instructions burned: 2352 (million)
% 64.67/9.69 % (4040929)------------------------------
% 64.67/9.69 % (4040929)------------------------------
% 64.67/9.69 % (4040932)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=211148915:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2979 on theBenchmark for (2979ds/150Mi)
% 64.67/9.69 % (4040931)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=915221096:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 64.67/9.69 % (4040932)Instruction limit reached!
% 64.67/9.69 % (4040932)------------------------------
% 64.67/9.69 % (4040932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.67/9.69 % (4040932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.67/9.69 % (4040932)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040932)Termination reason: Instruction limit
% 34.58/10.83 % (4040932)Termination phase: Saturation
% 34.58/10.83 % (4040932)Time elapsed: 0.043 s
% 34.58/10.83 % (4040932)Peak memory usage: 91 MB
% 34.58/10.83 % (4040932)Instructions burned: 153 (million)
% 34.58/10.83 % (4040935)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2428524035:i=14155:bd=all_2978 on theBenchmark for (2978ds/14155Mi)
% 34.58/10.83 % (4040914)Instruction limit reached!
% 34.58/10.83 % (4040914)------------------------------
% 34.58/10.83 % (4040914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040914)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040914)Termination reason: Instruction limit
% 34.58/10.83 % (4040914)Termination phase: Saturation
% 34.58/10.83 % (4040914)Time elapsed: 3.358 s
% 34.58/10.83 % (4040914)Peak memory usage: 163 MB
% 34.58/10.83 % (4040914)Instructions burned: 5202 (million)
% 34.58/10.83 % (4040938)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3079925389:i=667:av=off:fsr=off_2956 on theBenchmark for (2956ds/667Mi)
% 34.58/10.83 % (4040938)Instruction limit reached!
% 34.58/10.83 % (4040938)------------------------------
% 34.58/10.83 % (4040938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040938)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040938)Termination reason: Instruction limit
% 34.58/10.83 % (4040938)Termination phase: Saturation
% 34.58/10.83 % (4040938)Time elapsed: 0.262 s
% 34.58/10.83 % (4040938)Peak memory usage: 89 MB
% 34.58/10.83 % (4040938)Instructions burned: 668 (million)
% 34.58/10.83 % (4040940)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2967545492:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 34.58/10.83 % (4040940)Instruction limit reached!
% 34.58/10.83 % (4040940)------------------------------
% 34.58/10.83 % (4040940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040940)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040940)Termination reason: Instruction limit
% 34.58/10.83 % (4040940)Termination phase: Saturation
% 34.58/10.83 % (4040940)Time elapsed: 0.103 s
% 34.58/10.83 % (4040940)Peak memory usage: 92 MB
% 34.58/10.83 % (4040940)Instructions burned: 186 (million)
% 34.58/10.83 % (4040942)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=387720022:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2950 on theBenchmark for (2950ds/193Mi)
% 34.58/10.83 % (4040942)Instruction limit reached!
% 34.58/10.83 % (4040942)------------------------------
% 34.58/10.83 % (4040942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040942)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040942)Termination reason: Instruction limit
% 34.58/10.83 % (4040942)Termination phase: Saturation
% 34.58/10.83 % (4040942)Time elapsed: 0.114 s
% 34.58/10.83 % (4040942)Peak memory usage: 91 MB
% 34.58/10.83 % (4040942)Instructions burned: 194 (million)
% 34.58/10.83 % (4040944)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2586449187:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2948 on theBenchmark for (2948ds/4850Mi)
% 34.58/10.83 % (4040931)Instruction limit reached!
% 34.58/10.83 % (4040931)------------------------------
% 34.58/10.83 % (4040931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040931)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040931)Termination reason: Instruction limit
% 34.58/10.83 % (4040931)Termination phase: Saturation
% 34.58/10.83 % (4040931)Time elapsed: 3.608 s
% 34.58/10.83 % (4040931)Peak memory usage: 165 MB
% 34.58/10.83 % (4040931)Instructions burned: 6061 (million)
% 34.58/10.83 % (4040946)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3848790600:i=12111:sd=1:ss=included_2942 on theBenchmark for (2942ds/12111Mi)
% 34.58/10.83 % (4040935)Instruction limit reached!
% 34.58/10.83 % (4040935)------------------------------
% 34.58/10.83 % (4040935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040935)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040935)Termination reason: Instruction limit
% 34.58/10.83 % (4040935)Termination phase: Saturation
% 34.58/10.83 % (4040935)Time elapsed: 4.439 s
% 34.58/10.83 % (4040935)Peak memory usage: 205 MB
% 34.58/10.83 % (4040935)Instructions burned: 14157 (million)
% 34.58/10.83 % (4040948)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4123891510:i=319:kws=precedence:fsr=off_2932 on theBenchmark for (2932ds/319Mi)
% 34.58/10.83 % (4040948)Instruction limit reached!
% 34.58/10.83 % (4040948)------------------------------
% 34.58/10.83 % (4040948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040948)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040948)Termination reason: Instruction limit
% 34.58/10.83 % (4040948)Termination phase: Saturation
% 34.58/10.83 % (4040948)Time elapsed: 0.101 s
% 34.58/10.83 % (4040948)Peak memory usage: 93 MB
% 34.58/10.83 % (4040948)Instructions burned: 323 (million)
% 34.58/10.83 % (4040950)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2426772488:i=2064:ep=RST_2930 on theBenchmark for (2930ds/2064Mi)
% 34.58/10.83 % (4040950)Instruction limit reached!
% 34.58/10.83 % (4040950)------------------------------
% 34.58/10.83 % (4040950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040950)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040950)Termination reason: Instruction limit
% 34.58/10.83 % (4040950)Termination phase: Saturation
% 34.58/10.83 % (4040950)Time elapsed: 0.640 s
% 34.58/10.83 % (4040950)Peak memory usage: 116 MB
% 34.58/10.83 % (4040950)Instructions burned: 2066 (million)
% 34.58/10.83 % (4040952)dis-1011_128_sil=32000:random_seed=3728567060:i=3706:ep=RST:av=off_2923 on theBenchmark for (2923ds/3706Mi)
% 34.58/10.83 % (4040944)Instruction limit reached!
% 34.58/10.83 % (4040944)------------------------------
% 34.58/10.83 % (4040944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040944)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040944)Termination reason: Instruction limit
% 34.58/10.83 % (4040944)Termination phase: Saturation
% 34.58/10.83 % (4040944)Time elapsed: 2.881 s
% 34.58/10.83 % (4040944)Peak memory usage: 151 MB
% 34.58/10.83 % (4040944)Instructions burned: 4851 (million)
% 34.58/10.83 % (4040954)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2599234758:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2917 on theBenchmark for (2917ds/757Mi)
% 34.58/10.83 % (4040954)Instruction limit reached!
% 34.58/10.83 % (4040954)------------------------------
% 34.58/10.83 % (4040954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040954)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040954)Termination reason: Instruction limit
% 34.58/10.83 % (4040954)Termination phase: Saturation
% 34.58/10.83 % (4040954)Time elapsed: 0.404 s
% 34.58/10.83 % (4040954)Peak memory usage: 96 MB
% 34.58/10.83 % (4040954)Instructions burned: 758 (million)
% 34.58/10.83 % (4040952)Instruction limit reached!
% 34.58/10.83 % (4040952)------------------------------
% 34.58/10.83 % (4040952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040952)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040952)Termination reason: Instruction limit
% 34.58/10.83 % (4040952)Termination phase: Saturation
% 34.58/10.83 % (4040952)Time elapsed: 1.123 s
% 34.58/10.83 % (4040952)Peak memory usage: 127 MB
% 34.58/10.83 % (4040952)Instructions burned: 3707 (million)
% 34.58/10.83 % (4040956)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=4012042592:i=13913:ss=axioms:sgt=8_2912 on theBenchmark for (2912ds/13913Mi)
% 34.58/10.83 % (4040958)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3632232908:i=9925:aac=none_2911 on theBenchmark for (2911ds/9925Mi)
% 34.58/10.83 % (4040921)Instruction limit reached!
% 34.58/10.83 % (4040921)------------------------------
% 34.58/10.83 % (4040921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/10.83 % (4040921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/10.83 % (4040921)CaDiCaL version: 2.1.3
% 34.58/10.83 % (4040921)Termination reason: Instruction limit
% 34.58/10.83 % (4040921)Termination phase: Saturation
% 34.58/10.83 % (4040921)Time elapsed: 7.898 s
% 34.58/10.83 % (4040921)Peak memory usage: 242 MB
% 34.58/10.83 % (4040921)Instructions burned: 13193 (million)
% 34.58/10.83 % (4040960)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=929409294:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2906 on theBenchmark for (2906ds/2479Mi)
% 34.58/10.83 % (4040960)First to succeed.
% 34.58/10.83 % (4040960)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4040874"
% 34.58/10.83 % (4040960)Refutation found. Thanks to Tanya!
% 34.58/10.83 % SZS status Theorem for theBenchmark
% 34.58/10.83 % SZS output start Proof for theBenchmark
% See solution above
% 74.18/11.03 % (4040960)------------------------------
% 74.18/11.03 % (4040960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.18/11.03 % (4040960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.18/11.03 % (4040960)CaDiCaL version: 2.1.3
% 74.18/11.03 % (4040960)Termination reason: Refutation
% 74.18/11.03 % (4040960)Time elapsed: 0.700 s
% 74.18/11.03 % (4040960)Peak memory usage: 102 MB
% 74.18/11.03 % (4040960)Instructions burned: 1229 (million)
% 74.18/11.03 % (4040960)------------------------------
% 74.18/11.03 % (4040960)------------------------------
% 74.18/11.03 % (4040874)Success in time 10.423 s
% 74.18/11.03 % Vampire exiting
%------------------------------------------------------------------------------