%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX210+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:46:11 PM UTC 2026
% Result : Theorem 79.84s 12.01s
% Output : Refutation 80.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 165 ( 26 unt; 14 def)
% Number of atoms : 365 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 442 ( 242 ~; 173 |; 6 &)
% ( 17 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 168 ( 0 sgn 166 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_004) ).
fof(f37,axiom,
eps2(eps),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_037) ).
fof(f38,axiom,
! [X0,X1] :
( eps2(x(X0,X1))
<=> ( eps2(X0)
| eps2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_038) ).
fof(f42,axiom,
! [X0,X1] :
( X1 = X0
=> step(atom(X1),X0) = eps ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_042) ).
fof(f43,axiom,
! [X0,X1] :
( X1 != X0
=> step(atom(X1),X0) = nil2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_043) ).
fof(f44,axiom,
! [X0,X1,X2] : step(x(X1,X2),X0) = x(step(X1,X0),step(X2,X0)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_046) ).
fof(f48,axiom,
! [X0] :
( rec(X0,nil)
<=> eps2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_048) ).
fof(f49,axiom,
! [X0,X1,X2] :
( rec(X0,cons(X1,X2))
<=> rec(step(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_049) ).
fof(f50,conjecture,
? [X0] : rec(X0,cons(a,cons(b,cons(b,cons(a,nil))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_050) ).
fof(f51,negated_conjecture,
~ ? [X0] : rec(X0,cons(a,cons(b,cons(b,cons(a,nil))))),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f52,plain,
! [X0] : ~ rec(X0,cons(a,cons(b,cons(b,cons(a,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(f55,plain,
! [X0,X1] :
( step(atom(X1),X0) = nil2
| X0 = X1 ),
inference(ennf_transformation,[],[f43]) ).
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(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(b,cons(b,cons(a,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(f69,plain,
a != b,
inference(cnf_transformation,[],[f4]) ).
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(f74,plain,
! [X0,X1] :
( nil2 = step(atom(X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f75,plain,
! [X0,X1] :
( eps = step(atom(X1),X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f56]) ).
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(b,cons(b,cons(a,nil)))),
inference(resolution,[],[f63,f65]) ).
fof(f88,plain,
! [X0] : ~ rec(step(step(X0,a),b),cons(b,cons(a,nil))),
inference(resolution,[],[f85,f65]) ).
fof(f124,plain,
! [X0,X1] :
( ~ rec(step(x(y(step(X0,a),X1),step(X1,a)),b),cons(b,cons(a,nil)))
| ~ eps2(X0) ),
inference(superposition,[],[f88,f72]) ).
fof(f125,plain,
! [X0,X1] :
( ~ rec(step(x(y(step(X0,a),X1),nil2),b),cons(b,cons(a,nil)))
| eps2(X0) ),
inference(superposition,[],[f88,f71]) ).
fof(f127,plain,
! [X0,X1] :
( ~ rec(x(step(y(step(X0,a),X1),b),step(nil2,b)),cons(b,cons(a,nil)))
| eps2(X0) ),
inference(forward_demodulation,[],[f125,f73]) ).
fof(f128,plain,
! [X0,X1] :
( ~ rec(x(step(y(step(X0,a),X1),b),step(step(X1,a),b)),cons(b,cons(a,nil)))
| ~ eps2(X0) ),
inference(forward_demodulation,[],[f124,f73]) ).
fof(f195,definition,
( spl0_3
<=> eps2(eps) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f197,plain,
( ~ eps2(eps)
| spl0_3 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f203,plain,
( $false
| spl0_3 ),
inference(unit_resulting_resolution,[],[f197,f83]) ).
fof(f206,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f203]) ).
fof(f1010,definition,
( spl0_27
<=> eps2(atom(a)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1938,plain,
! [X0] :
( ~ rec(x(step(y(eps,X0),b),step(nil2,b)),cons(b,cons(a,nil)))
| eps2(atom(a)) ),
inference(superposition,[],[f127,f84]) ).
fof(f2870,plain,
! [X0] :
( ~ rec(x(step(y(eps,X0),b),step(step(X0,a),b)),cons(b,cons(a,nil)))
| ~ eps2(atom(a)) ),
inference(superposition,[],[f128,f84]) ).
fof(f8638,definition,
( spl0_262
<=> ! [X0] : ~ rec(x(step(y(eps,X0),b),step(step(X0,a),b)),cons(b,cons(a,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
fof(f8639,plain,
( ! [X0] : ~ rec(x(step(y(eps,X0),b),step(step(X0,a),b)),cons(b,cons(a,nil)))
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f8638]) ).
fof(f8640,plain,
( ~ spl0_27
| spl0_262 ),
inference(avatar_split_clause,[],[f2870,f8638,f1010]) ).
fof(f8655,definition,
( spl0_266
<=> ! [X0] : ~ rec(x(step(y(eps,X0),b),step(nil2,b)),cons(b,cons(a,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
fof(f8656,plain,
( ! [X0] : ~ rec(x(step(y(eps,X0),b),step(nil2,b)),cons(b,cons(a,nil)))
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f8655]) ).
fof(f8657,plain,
( spl0_27
| spl0_266 ),
inference(avatar_split_clause,[],[f1938,f8655,f1010]) ).
fof(f8720,plain,
( ! [X0] : ~ rec(step(x(step(y(eps,X0),b),step(nil2,b)),b),cons(a,nil))
| ~ spl0_266 ),
inference(resolution,[],[f8656,f65]) ).
fof(f8724,plain,
( ! [X0] : ~ rec(x(step(step(y(eps,X0),b),b),step(step(nil2,b),b)),cons(a,nil))
| ~ spl0_266 ),
inference(forward_demodulation,[],[f8720,f73]) ).
fof(f8747,plain,
( ! [X0] : ~ rec(step(x(step(y(eps,X0),b),step(step(X0,a),b)),b),cons(a,nil))
| ~ spl0_262 ),
inference(resolution,[],[f8639,f65]) ).
fof(f8760,plain,
( ! [X0] : ~ rec(x(step(step(y(eps,X0),b),b),step(step(step(X0,a),b),b)),cons(a,nil))
| ~ spl0_262 ),
inference(forward_demodulation,[],[f8747,f73]) ).
fof(f8761,plain,
( ! [X0] : ~ rec(step(x(step(step(y(eps,X0),b),b),step(step(nil2,b),b)),a),nil)
| ~ spl0_266 ),
inference(resolution,[],[f8724,f65]) ).
fof(f8765,plain,
( ! [X0] : ~ rec(x(step(step(step(y(eps,X0),b),b),a),step(step(step(nil2,b),b),a)),nil)
| ~ spl0_266 ),
inference(forward_demodulation,[],[f8761,f73]) ).
fof(f9773,plain,
( ! [X0] : ~ rec(step(x(step(step(y(eps,X0),b),b),step(step(step(X0,a),b),b)),a),nil)
| ~ spl0_262 ),
inference(resolution,[],[f8760,f65]) ).
fof(f9786,plain,
( ! [X0] : ~ rec(x(step(step(step(y(eps,X0),b),b),a),step(step(step(step(X0,a),b),b),a)),nil)
| ~ spl0_262 ),
inference(forward_demodulation,[],[f9773,f73]) ).
fof(f9800,plain,
( ! [X0] : ~ eps2(x(step(step(step(y(eps,X0),b),b),a),step(step(step(nil2,b),b),a)))
| ~ spl0_266 ),
inference(resolution,[],[f8765,f67]) ).
fof(f9810,plain,
( ! [X0] : ~ eps2(step(step(step(y(eps,X0),b),b),a))
| ~ spl0_266 ),
inference(resolution,[],[f9800,f82]) ).
fof(f9819,plain,
( ! [X0] :
( ~ eps2(step(step(x(y(step(eps,b),X0),step(X0,b)),b),a))
| ~ eps2(eps) )
| ~ spl0_266 ),
inference(superposition,[],[f9810,f72]) ).
fof(f9821,plain,
( ! [X0] :
( ~ eps2(step(x(step(y(step(eps,b),X0),b),step(step(X0,b),b)),a))
| ~ eps2(eps) )
| ~ spl0_266 ),
inference(forward_demodulation,[],[f9819,f73]) ).
fof(f9822,plain,
( ! [X0] :
( ~ eps2(x(step(step(y(step(eps,b),X0),b),a),step(step(step(X0,b),b),a)))
| ~ eps2(eps) )
| ~ spl0_266 ),
inference(forward_demodulation,[],[f9821,f73]) ).
fof(f9824,definition,
( spl0_283
<=> ! [X0] : ~ eps2(x(step(step(y(step(eps,b),X0),b),a),step(step(step(X0,b),b),a))) ),
introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).
fof(f9825,plain,
( ! [X0] : ~ eps2(x(step(step(y(step(eps,b),X0),b),a),step(step(step(X0,b),b),a)))
| ~ spl0_283 ),
inference(avatar_component_clause,[],[f9824]) ).
fof(f9826,plain,
( ~ spl0_3
| spl0_283
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f9822,f8655,f9824,f195]) ).
fof(f9828,plain,
( ! [X0] : ~ eps2(step(step(step(X0,b),b),a))
| ~ spl0_283 ),
inference(resolution,[],[f9825,f81]) ).
fof(f9852,plain,
( ! [X0,X1] : ~ eps2(step(step(x(step(X0,b),step(X1,b)),b),a))
| ~ spl0_283 ),
inference(superposition,[],[f9828,f73]) ).
fof(f9854,plain,
( ! [X0,X1] :
( ~ eps2(step(step(x(y(step(X0,b),X1),nil2),b),a))
| eps2(X0) )
| ~ spl0_283 ),
inference(superposition,[],[f9828,f71]) ).
fof(f9856,plain,
( ! [X0,X1] :
( ~ eps2(step(x(step(y(step(X0,b),X1),b),step(nil2,b)),a))
| eps2(X0) )
| ~ spl0_283 ),
inference(forward_demodulation,[],[f9854,f73]) ).
fof(f9858,plain,
( ! [X0,X1] : ~ eps2(step(x(step(step(X0,b),b),step(step(X1,b),b)),a))
| ~ spl0_283 ),
inference(forward_demodulation,[],[f9852,f73]) ).
fof(f9860,definition,
( spl0_285
<=> ! [X0] : b = X0 ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
fof(f9861,plain,
( ! [X0] : b = X0
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f9860]) ).
fof(f9863,plain,
( ! [X0,X1] :
( ~ eps2(x(step(step(y(step(X0,b),X1),b),a),step(step(nil2,b),a)))
| eps2(X0) )
| ~ spl0_283 ),
inference(forward_demodulation,[],[f9856,f73]) ).
fof(f9865,plain,
( ! [X0,X1] : ~ eps2(x(step(step(step(X0,b),b),a),step(step(step(X1,b),b),a)))
| ~ spl0_283 ),
inference(forward_demodulation,[],[f9858,f73]) ).
fof(f9866,plain,
( $false
| ~ spl0_285 ),
inference(unit_resulting_resolution,[],[f9861,f69]) ).
fof(f16013,plain,
~ spl0_285,
inference(avatar_contradiction_clause,[],[f9866]) ).
fof(f24116,plain,
( ! [X0,X1] :
( ~ eps2(x(step(step(step(X0,b),b),a),step(step(nil2,b),a)))
| b = X1 )
| ~ spl0_283 ),
inference(superposition,[],[f9865,f74]) ).
fof(f24126,definition,
( spl0_322
<=> ! [X0] : ~ eps2(x(step(step(step(X0,b),b),a),step(step(nil2,b),a))) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
fof(f24127,plain,
( ! [X0] : ~ eps2(x(step(step(step(X0,b),b),a),step(step(nil2,b),a)))
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f24126]) ).
fof(f24128,plain,
( spl0_285
| spl0_322
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f24116,f9824,f24126,f9860]) ).
fof(f24187,plain,
( ! [X0] : ~ eps2(step(step(step(X0,b),b),a))
| ~ spl0_322 ),
inference(resolution,[],[f24127,f82]) ).
fof(f24521,plain,
( ! [X0,X1] :
( ~ eps2(step(step(y(step(X0,b),X1),b),a))
| eps2(X0) )
| ~ spl0_283 ),
inference(resolution,[],[f9863,f82]) ).
fof(f24533,definition,
( spl0_343
<=> eps2(atom(b)) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
fof(f24548,plain,
( ! [X0] :
( ~ eps2(step(step(y(eps,X0),b),a))
| eps2(atom(b)) )
| ~ spl0_283 ),
inference(superposition,[],[f24521,f84]) ).
fof(f24851,definition,
( spl0_374
<=> ! [X0] : ~ eps2(x(step(step(X0,b),a),step(nil2,a))) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
fof(f24852,plain,
( ! [X0] : ~ eps2(x(step(step(X0,b),a),step(nil2,a)))
| ~ spl0_374 ),
inference(avatar_component_clause,[],[f24851]) ).
fof(f24900,plain,
( ! [X0] : ~ eps2(step(step(X0,b),a))
| ~ spl0_374 ),
inference(resolution,[],[f24852,f82]) ).
fof(f25309,definition,
( spl0_396
<=> ! [X0] : ~ eps2(x(step(y(eps,X0),a),step(step(X0,b),a))) ),
introduced(definition,[new_symbols(definition,[spl0_396])],[avatar_definition]) ).
fof(f25310,plain,
( ! [X0] : ~ eps2(x(step(y(eps,X0),a),step(step(X0,b),a)))
| ~ spl0_396 ),
inference(avatar_component_clause,[],[f25309]) ).
fof(f25328,definition,
( spl0_399
<=> ! [X0] : ~ eps2(step(y(eps,X0),a)) ),
introduced(definition,[new_symbols(definition,[spl0_399])],[avatar_definition]) ).
fof(f25329,plain,
( ! [X0] : ~ eps2(step(y(eps,X0),a))
| ~ spl0_399 ),
inference(avatar_component_clause,[],[f25328]) ).
fof(f25331,plain,
( ! [X0] :
( ~ eps2(x(y(step(eps,a),X0),step(X0,a)))
| ~ eps2(eps) )
| ~ spl0_399 ),
inference(superposition,[],[f25329,f72]) ).
fof(f25334,definition,
( spl0_400
<=> ! [X0] : ~ eps2(x(y(step(eps,a),X0),step(X0,a))) ),
introduced(definition,[new_symbols(definition,[spl0_400])],[avatar_definition]) ).
fof(f25335,plain,
( ! [X0] : ~ eps2(x(y(step(eps,a),X0),step(X0,a)))
| ~ spl0_400 ),
inference(avatar_component_clause,[],[f25334]) ).
fof(f25336,plain,
( ~ spl0_3
| spl0_400
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f25331,f25328,f25334,f195]) ).
fof(f25337,plain,
( ! [X0] : ~ eps2(step(X0,a))
| ~ spl0_400 ),
inference(resolution,[],[f25335,f81]) ).
fof(f25346,plain,
( ~ eps2(eps)
| ~ spl0_400 ),
inference(superposition,[],[f25337,f84]) ).
fof(f25351,plain,
( ~ spl0_3
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f25346,f25334,f195]) ).
fof(f25360,definition,
( spl0_402
<=> ! [X0] : ~ eps2(step(step(y(eps,X0),b),a)) ),
introduced(definition,[new_symbols(definition,[spl0_402])],[avatar_definition]) ).
fof(f25361,plain,
( ! [X0] : ~ eps2(step(step(y(eps,X0),b),a))
| ~ spl0_402 ),
inference(avatar_component_clause,[],[f25360]) ).
fof(f25362,plain,
( spl0_343
| spl0_402
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f24548,f9824,f25360,f24533]) ).
fof(f25366,plain,
( ! [X0,X1] :
( ~ eps2(step(x(y(step(X0,b),X1),step(X1,b)),a))
| ~ eps2(X0) )
| ~ spl0_374 ),
inference(superposition,[],[f24900,f72]) ).
fof(f25367,plain,
( ! [X0,X1] :
( ~ eps2(step(x(y(step(X0,b),X1),nil2),a))
| eps2(X0) )
| ~ spl0_374 ),
inference(superposition,[],[f24900,f71]) ).
fof(f25369,plain,
( ! [X0,X1] :
( ~ eps2(x(step(y(step(X0,b),X1),a),step(nil2,a)))
| eps2(X0) )
| ~ spl0_374 ),
inference(forward_demodulation,[],[f25367,f73]) ).
fof(f25370,plain,
( ! [X0,X1] :
( ~ eps2(x(step(y(step(X0,b),X1),a),step(step(X1,b),a)))
| ~ eps2(X0) )
| ~ spl0_374 ),
inference(forward_demodulation,[],[f25366,f73]) ).
fof(f25383,plain,
( ! [X0] : ~ eps2(step(y(eps,X0),a))
| ~ spl0_396 ),
inference(resolution,[],[f25310,f82]) ).
fof(f25399,plain,
( spl0_399
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f25383,f25309,f25328]) ).
fof(f25533,plain,
( ! [X0,X1] :
( ~ eps2(step(y(step(X0,b),X1),a))
| eps2(X0) )
| ~ spl0_374 ),
inference(resolution,[],[f25369,f82]) ).
fof(f25543,plain,
( ! [X0] :
( ~ eps2(step(y(eps,X0),a))
| eps2(atom(b)) )
| ~ spl0_374 ),
inference(superposition,[],[f25533,f84]) ).
fof(f25967,plain,
( ! [X0] :
( ~ eps2(x(step(y(eps,X0),a),step(step(X0,b),a)))
| ~ eps2(atom(b)) )
| ~ spl0_374 ),
inference(superposition,[],[f25370,f84]) ).
fof(f25983,plain,
( ~ spl0_343
| spl0_396
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f25967,f24851,f25309,f24533]) ).
fof(f25986,plain,
( spl0_343
| spl0_399
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f25543,f24851,f25328,f24533]) ).
fof(f26143,plain,
( ! [X0] :
( ~ eps2(step(x(y(step(eps,b),X0),step(X0,b)),a))
| ~ eps2(eps) )
| ~ spl0_402 ),
inference(superposition,[],[f25361,f72]) ).
fof(f26145,plain,
( ! [X0] :
( ~ eps2(x(step(y(step(eps,b),X0),a),step(step(X0,b),a)))
| ~ eps2(eps) )
| ~ spl0_402 ),
inference(forward_demodulation,[],[f26143,f73]) ).
fof(f26147,definition,
( spl0_424
<=> ! [X0] : ~ eps2(x(step(y(step(eps,b),X0),a),step(step(X0,b),a))) ),
introduced(definition,[new_symbols(definition,[spl0_424])],[avatar_definition]) ).
fof(f26148,plain,
( ! [X0] : ~ eps2(x(step(y(step(eps,b),X0),a),step(step(X0,b),a)))
| ~ spl0_424 ),
inference(avatar_component_clause,[],[f26147]) ).
fof(f26149,plain,
( ~ spl0_3
| spl0_424
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f26145,f25360,f26147,f195]) ).
fof(f26191,plain,
( ! [X0] : ~ eps2(step(step(X0,b),a))
| ~ spl0_424 ),
inference(resolution,[],[f26148,f81]) ).
fof(f27333,plain,
( ! [X0,X1] :
( ~ eps2(step(step(x(y(step(X0,b),X1),step(X1,b)),b),a))
| ~ eps2(X0) )
| ~ spl0_322 ),
inference(superposition,[],[f24187,f72]) ).
fof(f27337,plain,
( ! [X0,X1] :
( ~ eps2(step(x(step(y(step(X0,b),X1),b),step(step(X1,b),b)),a))
| ~ eps2(X0) )
| ~ spl0_322 ),
inference(forward_demodulation,[],[f27333,f73]) ).
fof(f27340,plain,
( ! [X0,X1] :
( ~ eps2(x(step(step(y(step(X0,b),X1),b),a),step(step(step(X1,b),b),a)))
| ~ eps2(X0) )
| ~ spl0_322 ),
inference(forward_demodulation,[],[f27337,f73]) ).
fof(f27863,plain,
( ! [X0,X1] :
( ~ eps2(step(step(y(step(X0,b),X1),b),a))
| ~ eps2(X0) )
| ~ spl0_322 ),
inference(resolution,[],[f27340,f82]) ).
fof(f27895,plain,
( ! [X0] :
( ~ eps2(step(step(y(eps,X0),b),a))
| ~ eps2(atom(b)) )
| ~ spl0_322 ),
inference(superposition,[],[f27863,f84]) ).
fof(f28330,plain,
( ~ spl0_343
| spl0_402
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f27895,f24126,f25360,f24533]) ).
fof(f28333,plain,
( ! [X0,X1] : ~ eps2(step(x(step(X0,b),step(X1,b)),a))
| ~ spl0_424 ),
inference(superposition,[],[f26191,f73]) ).
fof(f28339,plain,
( ! [X0,X1] : ~ eps2(x(step(step(X0,b),a),step(step(X1,b),a)))
| ~ spl0_424 ),
inference(forward_demodulation,[],[f28333,f73]) ).
fof(f28364,plain,
( ! [X0,X1] :
( ~ eps2(x(step(step(X0,b),a),step(nil2,a)))
| b = X1 )
| ~ spl0_424 ),
inference(superposition,[],[f28339,f74]) ).
fof(f28373,plain,
( spl0_285
| spl0_374
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f28364,f26147,f24851,f9860]) ).
fof(f34507,plain,
( ! [X0] : ~ eps2(x(step(step(step(y(eps,X0),b),b),a),step(step(step(step(X0,a),b),b),a)))
| ~ spl0_262 ),
inference(resolution,[],[f9786,f67]) ).
fof(f34532,plain,
( ! [X0] : ~ eps2(step(step(step(y(eps,X0),b),b),a))
| ~ spl0_262 ),
inference(resolution,[],[f34507,f82]) ).
fof(f34556,plain,
( ! [X0] :
( ~ eps2(step(step(x(y(step(eps,b),X0),step(X0,b)),b),a))
| ~ eps2(eps) )
| ~ spl0_262 ),
inference(superposition,[],[f34532,f72]) ).
fof(f34558,plain,
( ! [X0] :
( ~ eps2(step(x(step(y(step(eps,b),X0),b),step(step(X0,b),b)),a))
| ~ eps2(eps) )
| ~ spl0_262 ),
inference(forward_demodulation,[],[f34556,f73]) ).
fof(f34559,plain,
( ! [X0] :
( ~ eps2(x(step(step(y(step(eps,b),X0),b),a),step(step(step(X0,b),b),a)))
| ~ eps2(eps) )
| ~ spl0_262 ),
inference(forward_demodulation,[],[f34558,f73]) ).
fof(f34560,plain,
( ~ spl0_3
| spl0_283
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f34559,f8638,f9824,f195]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f206]) ).
cnf(s313,plain,
( ~ spl0_27
| spl0_262 ),
inference(sat_conversion,[],[f8640]) ).
cnf(s317,plain,
( spl0_27
| spl0_266 ),
inference(sat_conversion,[],[f8657]) ).
cnf(s363,plain,
( ~ spl0_3
| ~ spl0_266
| spl0_283 ),
inference(sat_conversion,[],[f9826]) ).
cnf(s367,plain,
~ spl0_285,
inference(sat_conversion,[],[f16013]) ).
cnf(s3537,plain,
( ~ spl0_283
| spl0_285
| spl0_322 ),
inference(sat_conversion,[],[f24128]) ).
cnf(s3612,plain,
( ~ spl0_3
| ~ spl0_399
| spl0_400 ),
inference(sat_conversion,[],[f25336]) ).
cnf(s3613,plain,
( ~ spl0_3
| ~ spl0_400 ),
inference(sat_conversion,[],[f25351]) ).
cnf(s3618,plain,
( ~ spl0_283
| spl0_343
| spl0_402 ),
inference(sat_conversion,[],[f25362]) ).
cnf(s3620,plain,
( ~ spl0_396
| spl0_399 ),
inference(sat_conversion,[],[f25399]) ).
cnf(s3647,plain,
( ~ spl0_343
| ~ spl0_374
| spl0_396 ),
inference(sat_conversion,[],[f25983]) ).
cnf(s3650,plain,
( spl0_343
| ~ spl0_374
| spl0_399 ),
inference(sat_conversion,[],[f25986]) ).
cnf(s3675,plain,
( ~ spl0_3
| ~ spl0_402
| spl0_424 ),
inference(sat_conversion,[],[f26149]) ).
cnf(s3806,plain,
( ~ spl0_322
| ~ spl0_343
| spl0_402 ),
inference(sat_conversion,[],[f28330]) ).
cnf(s3811,plain,
( spl0_285
| spl0_374
| ~ spl0_424 ),
inference(sat_conversion,[],[f28373]) ).
cnf(s4000,plain,
( ~ spl0_3
| ~ spl0_262
| spl0_283 ),
inference(sat_conversion,[],[f34560]) ).
cnf(s4267,plain,
~ spl0_400,
inference(rat,[],[s3613,s4]) ).
cnf(s4268,plain,
~ spl0_399,
inference(rat,[],[s3612,s4267,s4]) ).
cnf(s4282,plain,
~ spl0_396,
inference(rat,[],[s3620,s4268]) ).
cnf(s4285,plain,
( spl0_343
| ~ spl0_283 ),
inference(rat,[],[s3675,s3811,s3618,s3650,s4,s367,s4268]) ).
cnf(s4286,plain,
( ~ spl0_343
| ~ spl0_322 ),
inference(rat,[],[s3811,s3675,s3647,s3806,s4282,s4,s367]) ).
cnf(s4287,plain,
~ spl0_283,
inference(rat,[],[s4286,s4285,s3537,s367]) ).
cnf(s4288,plain,
~ spl0_262,
inference(rat,[],[s4000,s4,s4287]) ).
cnf(s4289,plain,
~ spl0_266,
inference(rat,[],[s363,s4,s4287]) ).
cnf(s4291,plain,
~ spl0_27,
inference(rat,[],[s313,s4288]) ).
cnf(s4293,plain,
$false,
inference(rat,[],[s317,s4289,s4291]) ).
fof(f34561,plain,
$false,
inference(avatar_sat_refutation,[],[s4293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX210+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:13:27 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 11.92/2.37 % (3926538)Detected formulas, will run a generic FOF schedule.
% 11.92/2.37 % (3926545)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=4104572819:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.92/2.37 % (3926547)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2259481846:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.92/2.37 % (3926548)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2431296320:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.92/2.37 % (3926546)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1761891161:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.92/2.37 % (3926543)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=3413153920:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.92/2.37 % (3926544)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=804172952:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.92/2.37 % (3926546)Refutation not found, incomplete strategy
% 11.92/2.37 % (3926546)------------------------------
% 11.92/2.37 % (3926546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.37 % (3926546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.37 % (3926546)CaDiCaL version: 2.1.3
% 11.92/2.37 % (3926546)Termination reason: Refutation not found, incomplete strategy
% 11.92/2.37 % (3926546)Time elapsed: 0.001 s
% 11.92/2.37 % (3926546)Peak memory usage: 87 MB
% 11.92/2.37 % (3926549)dis-21_1_sil=8000:lcm=predicate:random_seed=1567775438: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)
% 11.92/2.37 % (3926547)Instruction limit reached!
% 11.92/2.37 % (3926547)------------------------------
% 11.92/2.37 % (3926547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.37 % (3926547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.37 % (3926547)CaDiCaL version: 2.1.3
% 11.92/2.37 % (3926547)Termination reason: Instruction limit
% 11.92/2.37 % (3926547)Termination phase: Saturation
% 11.92/2.37 % (3926547)Time elapsed: 0.069 s
% 11.92/2.37 % (3926547)Peak memory usage: 88 MB
% 11.92/2.37 % (3926547)Instructions burned: 119 (million)
% 11.92/2.37 % (3926548)Instruction limit reached!
% 11.92/2.37 % (3926548)------------------------------
% 11.92/2.37 % (3926548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.37 % (3926548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.37 % (3926548)CaDiCaL version: 2.1.3
% 11.92/2.37 % (3926548)Termination reason: Instruction limit
% 11.92/2.37 % (3926548)Termination phase: Saturation
% 11.92/2.37 % (3926548)Time elapsed: 0.088 s
% 11.92/2.37 % (3926548)Peak memory usage: 90 MB
% 11.92/2.37 % (3926548)Instructions burned: 140 (million)
% 11.92/2.37 % (3926549)Instruction limit reached!
% 11.92/2.37 % (3926549)------------------------------
% 11.92/2.37 % (3926549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.37 % (3926549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.37 % (3926549)CaDiCaL version: 2.1.3
% 11.92/2.37 % (3926549)Termination reason: Instruction limit
% 11.92/2.37 % (3926549)Termination phase: Saturation
% 11.92/2.37 % (3926549)Time elapsed: 0.071 s
% 11.92/2.37 % (3926549)Peak memory usage: 89 MB
% 11.92/2.37 % (3926549)Instructions burned: 129 (million)
% 11.92/2.37 % (3926557)lrs+10_1_sil=8000:sp=occurrence:random_seed=2950515316:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.92/2.37 % (3926558)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1943227261:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.92/2.37 % (3926559)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2777172563:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.92/2.37 % (3926559)Refutation not found, incomplete strategy
% 11.92/2.37 % (3926559)------------------------------
% 11.92/2.37 % (3926559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.37 % (3926559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.31 % (3926559)CaDiCaL version: 2.1.3
% 18.64/3.31 % (3926559)Termination reason: Refutation not found, incomplete strategy
% 18.64/3.31 % (3926559)Time elapsed: 0.001 s
% 18.64/3.31 % (3926559)Peak memory usage: 88 MB
% 18.64/3.31 % (3926546)------------------------------
% 18.64/3.31 % (3926546)------------------------------
% 18.64/3.31 % (3926558)Instruction limit reached!
% 18.64/3.31 % (3926558)------------------------------
% 18.64/3.31 % (3926558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.31 % (3926558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.31 % (3926558)CaDiCaL version: 2.1.3
% 18.64/3.31 % (3926558)Termination reason: Instruction limit
% 18.64/3.31 % (3926558)Termination phase: Saturation
% 18.64/3.31 % (3926558)Time elapsed: 0.065 s
% 18.64/3.31 % (3926558)Peak memory usage: 88 MB
% 18.64/3.31 % (3926558)Instructions burned: 160 (million)
% 18.64/3.31 % (3926563)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=2957688466:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 18.64/3.31 % (3926557)Instruction limit reached!
% 18.64/3.31 % (3926557)------------------------------
% 18.64/3.31 % (3926557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.31 % (3926557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.31 % (3926557)CaDiCaL version: 2.1.3
% 18.64/3.31 % (3926557)Termination reason: Instruction limit
% 18.64/3.31 % (3926557)Termination phase: Saturation
% 18.64/3.31 % (3926557)Time elapsed: 0.167 s
% 18.64/3.31 % (3926557)Peak memory usage: 90 MB
% 18.64/3.31 % (3926557)Instructions burned: 286 (million)
% 18.64/3.31 % (3926564)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3844046399:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.64/3.31 % (3926563)Instruction limit reached!
% 18.64/3.31 % (3926563)------------------------------
% 18.64/3.31 % (3926563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.31 % (3926563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.31 % (3926563)CaDiCaL version: 2.1.3
% 18.64/3.31 % (3926563)Termination reason: Instruction limit
% 18.64/3.31 % (3926563)Termination phase: Saturation
% 18.64/3.31 % (3926563)Time elapsed: 0.082 s
% 18.64/3.31 % (3926563)Peak memory usage: 92 MB
% 18.64/3.31 % (3926563)Instructions burned: 250 (million)
% 18.64/3.31 % (3926559)------------------------------
% 18.64/3.31 % (3926559)------------------------------
% 18.64/3.31 % (3926566)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=324607610:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 18.64/3.31 % (3926568)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2712593841:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.64/3.31 % (3926564)Instruction limit reached!
% 18.64/3.31 % (3926564)------------------------------
% 18.64/3.31 % (3926564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.31 % (3926564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.31 % (3926564)CaDiCaL version: 2.1.3
% 18.64/3.31 % (3926564)Termination reason: Instruction limit
% 18.64/3.31 % (3926564)Termination phase: Saturation
% 18.64/3.31 % (3926564)Time elapsed: 0.116 s
% 18.64/3.31 % (3926564)Peak memory usage: 89 MB
% 18.64/3.31 % (3926564)Instructions burned: 297 (million)
% 18.64/3.31 % (3926568)Instruction limit reached!
% 18.64/3.31 % (3926568)------------------------------
% 18.64/3.31 % (3926568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.31 % (3926568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.31 % (3926568)CaDiCaL version: 2.1.3
% 18.64/3.31 % (3926568)Termination reason: Instruction limit
% 18.64/3.31 % (3926568)Termination phase: Saturation
% 18.64/3.31 % (3926568)Time elapsed: 0.025 s
% 18.64/3.31 % (3926568)Peak memory usage: 88 MB
% 18.64/3.31 % (3926568)Instructions burned: 116 (million)
% 18.64/3.31 % (3926569)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1809189255:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.64/3.31 % (3926573)lrs+10_1_sil=8000:sp=occurrence:random_seed=1317222703:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 18.64/3.31 % (3926572)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2770152811:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 43.19/6.79 % (3926569)Instruction limit reached!
% 43.19/6.79 % (3926569)------------------------------
% 43.19/6.79 % (3926569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.19/6.79 % (3926569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.19/6.79 % (3926569)CaDiCaL version: 2.1.3
% 43.19/6.79 % (3926569)Termination reason: Instruction limit
% 43.19/6.79 % (3926569)Termination phase: Saturation
% 43.19/6.79 % (3926569)Time elapsed: 0.060 s
% 43.19/6.79 % (3926569)Peak memory usage: 88 MB
% 43.19/6.79 % (3926569)Instructions burned: 129 (million)
% 43.19/6.79 % (3926572)Instruction limit reached!
% 43.19/6.79 % (3926572)------------------------------
% 43.19/6.79 % (3926572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.19/6.79 % (3926572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.19/6.79 % (3926572)CaDiCaL version: 2.1.3
% 43.19/6.79 % (3926572)Termination reason: Instruction limit
% 43.19/6.79 % (3926572)Termination phase: Saturation
% 43.19/6.79 % (3926572)Time elapsed: 0.047 s
% 43.19/6.79 % (3926572)Peak memory usage: 88 MB
% 43.19/6.79 % (3926572)Instructions burned: 114 (million)
% 43.19/6.79 % (3926577)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1051699462:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 43.19/6.79 % (3926578)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3673258057:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 43.19/6.79 % (3926573)Instruction limit reached!
% 43.19/6.79 % (3926573)------------------------------
% 43.19/6.79 % (3926573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.19/6.79 % (3926573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.19/6.79 % (3926573)CaDiCaL version: 2.1.3
% 43.19/6.79 % (3926573)Termination reason: Instruction limit
% 43.19/6.79 % (3926573)Termination phase: Saturation
% 43.19/6.79 % (3926573)Time elapsed: 0.274 s
% 43.19/6.79 % (3926573)Peak memory usage: 96 MB
% 43.19/6.79 % (3926573)Instructions burned: 908 (million)
% 43.19/6.79 % (3926581)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3327300346:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 43.19/6.79 % (3926577)Instruction limit reached!
% 43.19/6.79 % (3926577)------------------------------
% 43.19/6.79 % (3926577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.19/6.79 % (3926577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.19/6.79 % (3926577)CaDiCaL version: 2.1.3
% 43.19/6.79 % (3926577)Termination reason: Instruction limit
% 43.19/6.79 % (3926577)Termination phase: Saturation
% 43.19/6.79 % (3926577)Time elapsed: 0.173 s
% 43.19/6.79 % (3926577)Peak memory usage: 89 MB
% 43.19/6.79 % (3926577)Instructions burned: 437 (million)
% 43.19/6.79 % (3926581)Instruction limit reached!
% 43.19/6.79 % (3926581)------------------------------
% 43.19/6.79 % (3926581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.19/6.79 % (3926581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.19/6.79 % (3926581)CaDiCaL version: 2.1.3
% 43.19/6.79 % (3926581)Termination reason: Instruction limit
% 43.19/6.79 % (3926581)Termination phase: Saturation
% 43.19/6.79 % (3926581)Time elapsed: 0.041 s
% 43.19/6.79 % (3926581)Peak memory usage: 90 MB
% 43.19/6.79 % (3926581)Instructions burned: 135 (million)
% 43.19/6.79 % (3926584)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=323600766:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 43.19/6.79 % (3926583)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3110706797:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 43.19/6.79 % (3926583)Instruction limit reached!
% 43.19/6.79 % (3926583)------------------------------
% 43.19/6.79 % (3926583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.19/6.79 % (3926583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.19/6.79 % (3926583)CaDiCaL version: 2.1.3
% 43.19/6.79 % (3926583)Termination reason: Instruction limit
% 43.19/6.79 % (3926583)Termination phase: Saturation
% 43.19/6.79 % (3926583)Time elapsed: 0.303 s
% 43.19/6.79 % (3926583)Peak memory usage: 96 MB
% 43.19/6.79 % (3926583)Instructions burned: 593 (million)
% 43.19/6.79 % (3926587)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=3276383055:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 71.09/10.74 % (3926587)Instruction limit reached!
% 71.09/10.74 % (3926587)------------------------------
% 71.09/10.74 % (3926587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.09/10.74 % (3926587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.09/10.74 % (3926587)CaDiCaL version: 2.1.3
% 71.09/10.74 % (3926587)Termination reason: Instruction limit
% 71.09/10.74 % (3926587)Termination phase: Saturation
% 71.09/10.74 % (3926587)Time elapsed: 0.086 s
% 71.09/10.74 % (3926587)Peak memory usage: 91 MB
% 71.09/10.74 % (3926587)Instructions burned: 126 (million)
% 71.09/10.74 % (3926589)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3682743314:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 71.09/10.74 % (3926589)Instruction limit reached!
% 71.09/10.74 % (3926589)------------------------------
% 71.09/10.74 % (3926589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.09/10.74 % (3926589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.09/10.74 % (3926589)CaDiCaL version: 2.1.3
% 71.09/10.74 % (3926589)Termination reason: Instruction limit
% 71.09/10.74 % (3926589)Termination phase: Saturation
% 71.09/10.74 % (3926589)Time elapsed: 0.074 s
% 71.09/10.74 % (3926589)Peak memory usage: 90 MB
% 71.09/10.74 % (3926589)Instructions burned: 134 (million)
% 71.09/10.74 % (3926566)Instruction limit reached!
% 71.09/10.74 % (3926566)------------------------------
% 71.09/10.74 % (3926566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.09/10.74 % (3926566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.09/10.74 % (3926566)CaDiCaL version: 2.1.3
% 71.09/10.74 % (3926566)Termination reason: Instruction limit
% 71.09/10.74 % (3926566)Termination phase: Saturation
% 71.09/10.74 % (3926566)Time elapsed: 1.430 s
% 71.09/10.74 % (3926566)Peak memory usage: 138 MB
% 71.09/10.74 % (3926566)Instructions burned: 2350 (million)
% 71.09/10.74 % (3926591)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=687716727:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 71.09/10.74 % (3926591)Refutation not found, incomplete strategy
% 71.09/10.74 % (3926591)------------------------------
% 71.09/10.74 % (3926591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.09/10.74 % (3926591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.09/10.74 % (3926591)CaDiCaL version: 2.1.3
% 71.09/10.74 % (3926591)Termination reason: Refutation not found, incomplete strategy
% 71.09/10.74 % (3926591)Time elapsed: 0.001 s
% 71.09/10.74 % (3926591)Peak memory usage: 87 MB
% 71.09/10.74 % (3926592)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=440446236:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 71.09/10.74 % (3926592)Refutation not found, incomplete strategy
% 71.09/10.74 % (3926592)------------------------------
% 71.09/10.74 % (3926592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.09/10.74 % (3926592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.09/10.74 % (3926592)CaDiCaL version: 2.1.3
% 71.09/10.74 % (3926592)Termination reason: Refutation not found, incomplete strategy
% 71.09/10.74 % (3926592)Time elapsed: 0.001 s
% 71.09/10.74 % (3926592)Peak memory usage: 88 MB
% 71.09/10.74 % (3926591)------------------------------
% 71.09/10.74 % (3926591)------------------------------
% 71.09/10.74 % (3926592)------------------------------
% 71.09/10.74 % (3926592)------------------------------
% 71.09/10.74 % (3926595)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=3684749334:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 71.09/10.74 % (3926596)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=3524804147:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 71.09/10.74 % (3926596)Instruction limit reached!
% 71.09/10.74 % (3926596)------------------------------
% 71.09/10.74 % (3926596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.09/10.74 % (3926596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.09/10.74 % (3926596)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926596)Termination reason: Instruction limit
% 79.84/12.01 % (3926596)Termination phase: Saturation
% 79.84/12.01 % (3926596)Time elapsed: 0.078 s
% 79.84/12.01 % (3926596)Peak memory usage: 91 MB
% 79.84/12.01 % (3926596)Instructions burned: 150 (million)
% 79.84/12.01 % (3926599)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2974433329:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 79.84/12.01 % (3926578)Instruction limit reached!
% 79.84/12.01 % (3926578)------------------------------
% 79.84/12.01 % (3926578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926578)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926578)Termination reason: Instruction limit
% 79.84/12.01 % (3926578)Termination phase: Saturation
% 79.84/12.01 % (3926578)Time elapsed: 2.074 s
% 79.84/12.01 % (3926578)Peak memory usage: 162 MB
% 79.84/12.01 % (3926578)Instructions burned: 5202 (million)
% 79.84/12.01 % (3926601)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1075601807:i=667:av=off:fsr=off_2969 on theBenchmark for (2969ds/667Mi)
% 79.84/12.01 % (3926601)Instruction limit reached!
% 79.84/12.01 % (3926601)------------------------------
% 79.84/12.01 % (3926601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926601)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926601)Termination reason: Instruction limit
% 79.84/12.01 % (3926601)Termination phase: Saturation
% 79.84/12.01 % (3926601)Time elapsed: 0.142 s
% 79.84/12.01 % (3926601)Peak memory usage: 89 MB
% 79.84/12.01 % (3926601)Instructions burned: 670 (million)
% 79.84/12.01 % (3926603)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=1456006939:s2a=on:i=185:s2at=1.8:fdi=4_2966 on theBenchmark for (2966ds/185Mi)
% 79.84/12.01 % (3926603)Instruction limit reached!
% 79.84/12.01 % (3926603)------------------------------
% 79.84/12.01 % (3926603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926603)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926603)Termination reason: Instruction limit
% 79.84/12.01 % (3926603)Termination phase: Saturation
% 79.84/12.01 % (3926603)Time elapsed: 0.055 s
% 79.84/12.01 % (3926603)Peak memory usage: 93 MB
% 79.84/12.01 % (3926603)Instructions burned: 186 (million)
% 79.84/12.01 % (3926605)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1380113367:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2965 on theBenchmark for (2965ds/193Mi)
% 79.84/12.01 % (3926605)Instruction limit reached!
% 79.84/12.01 % (3926605)------------------------------
% 79.84/12.01 % (3926605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926605)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926605)Termination reason: Instruction limit
% 79.84/12.01 % (3926605)Termination phase: Saturation
% 79.84/12.01 % (3926605)Time elapsed: 0.062 s
% 79.84/12.01 % (3926605)Peak memory usage: 91 MB
% 79.84/12.01 % (3926605)Instructions burned: 195 (million)
% 79.84/12.01 % (3926607)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2240771236:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2963 on theBenchmark for (2963ds/4850Mi)
% 79.84/12.01 % (3926607)Instruction limit reached!
% 79.84/12.01 % (3926607)------------------------------
% 79.84/12.01 % (3926607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926607)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926607)Termination reason: Instruction limit
% 79.84/12.01 % (3926607)Termination phase: Saturation
% 79.84/12.01 % (3926607)Time elapsed: 1.568 s
% 79.84/12.01 % (3926607)Peak memory usage: 151 MB
% 79.84/12.01 % (3926607)Instructions burned: 4850 (million)
% 79.84/12.01 % (3926609)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1630159247:i=12111:sd=1:ss=included_2947 on theBenchmark for (2947ds/12111Mi)
% 79.84/12.01 % (3926595)Instruction limit reached!
% 79.84/12.01 % (3926595)------------------------------
% 79.84/12.01 % (3926595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926595)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926595)Termination reason: Instruction limit
% 79.84/12.01 % (3926595)Termination phase: Saturation
% 79.84/12.01 % (3926595)Time elapsed: 3.613 s
% 79.84/12.01 % (3926595)Peak memory usage: 165 MB
% 79.84/12.01 % (3926595)Instructions burned: 6062 (million)
% 79.84/12.01 % (3926611)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=200682169:i=319:kws=precedence:fsr=off_2938 on theBenchmark for (2938ds/319Mi)
% 79.84/12.01 % (3926611)Instruction limit reached!
% 79.84/12.01 % (3926611)------------------------------
% 79.84/12.01 % (3926611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926611)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926611)Termination reason: Instruction limit
% 79.84/12.01 % (3926611)Termination phase: Saturation
% 79.84/12.01 % (3926611)Time elapsed: 0.186 s
% 79.84/12.01 % (3926611)Peak memory usage: 93 MB
% 79.84/12.01 % (3926611)Instructions burned: 320 (million)
% 79.84/12.01 % (3926613)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1342372481:i=2064:ep=RST_2935 on theBenchmark for (2935ds/2064Mi)
% 79.84/12.01 % (3926613)Instruction limit reached!
% 79.84/12.01 % (3926613)------------------------------
% 79.84/12.01 % (3926613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926613)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926613)Termination reason: Instruction limit
% 79.84/12.01 % (3926613)Termination phase: Saturation
% 79.84/12.01 % (3926613)Time elapsed: 1.255 s
% 79.84/12.01 % (3926613)Peak memory usage: 116 MB
% 79.84/12.01 % (3926613)Instructions burned: 2064 (million)
% 79.84/12.01 % (3926615)dis-1011_128_sil=32000:random_seed=1894035259:i=3706:ep=RST:av=off_2921 on theBenchmark for (2921ds/3706Mi)
% 79.84/12.01 % (3926584)Instruction limit reached!
% 79.84/12.01 % (3926584)------------------------------
% 79.84/12.01 % (3926584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926584)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926584)Termination reason: Instruction limit
% 79.84/12.01 % (3926584)Termination phase: Saturation
% 79.84/12.01 % (3926584)Time elapsed: 7.685 s
% 79.84/12.01 % (3926584)Peak memory usage: 241 MB
% 79.84/12.01 % (3926584)Instructions burned: 13194 (million)
% 79.84/12.01 % (3926617)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=29264335:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2910 on theBenchmark for (2910ds/757Mi)
% 79.84/12.01 % (3926609)Instruction limit reached!
% 79.84/12.01 % (3926609)------------------------------
% 79.84/12.01 % (3926609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926609)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926609)Termination reason: Instruction limit
% 79.84/12.01 % (3926609)Termination phase: Saturation
% 79.84/12.01 % (3926609)Time elapsed: 3.828 s
% 79.84/12.01 % (3926609)Peak memory usage: 271 MB
% 79.84/12.01 % (3926609)Instructions burned: 12113 (million)
% 79.84/12.01 % (3926619)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1930888001:i=13913:ss=axioms:sgt=8_2908 on theBenchmark for (2908ds/13913Mi)
% 79.84/12.01 % (3926617)Instruction limit reached!
% 79.84/12.01 % (3926617)------------------------------
% 79.84/12.01 % (3926617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926617)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926617)Termination reason: Instruction limit
% 79.84/12.01 % (3926617)Termination phase: Saturation
% 79.84/12.01 % (3926617)Time elapsed: 0.405 s
% 79.84/12.01 % (3926617)Peak memory usage: 96 MB
% 79.84/12.01 % (3926617)Instructions burned: 757 (million)
% 79.84/12.01 % (3926621)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1055173118:i=9925:aac=none_2905 on theBenchmark for (2905ds/9925Mi)
% 79.84/12.01 % (3926615)Instruction limit reached!
% 79.84/12.01 % (3926615)------------------------------
% 79.84/12.01 % (3926615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926615)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926615)Termination reason: Instruction limit
% 79.84/12.01 % (3926615)Termination phase: Saturation
% 79.84/12.01 % (3926615)Time elapsed: 2.098 s
% 79.84/12.01 % (3926615)Peak memory usage: 128 MB
% 79.84/12.01 % (3926615)Instructions burned: 3707 (million)
% 79.84/12.01 % (3926623)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3053461374:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2899 on theBenchmark for (2899ds/2479Mi)
% 79.84/12.01 % (3926599)Instruction limit reached!
% 79.84/12.01 % (3926599)------------------------------
% 79.84/12.01 % (3926599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.84/12.01 % (3926599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.84/12.01 % (3926599)CaDiCaL version: 2.1.3
% 79.84/12.01 % (3926599)Termination reason: Instruction limit
% 79.84/12.01 % (3926599)Termination phase: Saturation
% 79.84/12.01 % (3926599)Time elapsed: 8.172 s
% 79.84/12.01 % (3926599)Peak memory usage: 204 MB
% 79.84/12.01 % (3926599)Instructions burned: 14155 (million)
% 79.84/12.01 % (3926623)First to succeed.
% 79.84/12.01 % (3926623)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3926538"
% 79.84/12.01 % (3926625)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2742206767:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2890 on theBenchmark for (2890ds/440Mi)
% 79.84/12.01 % (3926623)Refutation found. Thanks to Tanya!
% 79.84/12.01 % SZS status Theorem for theBenchmark
% 79.84/12.01 % SZS output start Proof for theBenchmark
% See solution above
% 80.88/12.11 % (3926623)------------------------------
% 80.88/12.11 % (3926623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.88/12.11 % (3926623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.88/12.11 % (3926623)CaDiCaL version: 2.1.3
% 80.88/12.11 % (3926623)Termination reason: Refutation
% 80.88/12.11 % (3926623)Time elapsed: 0.865 s
% 80.88/12.11 % (3926623)Peak memory usage: 104 MB
% 80.88/12.11 % (3926623)Instructions burned: 1539 (million)
% 80.88/12.11 % (3926623)------------------------------
% 80.88/12.11 % (3926623)------------------------------
% 80.88/12.11 % (3926538)Success in time 11.341 s
% 80.88/12.11 % Vampire exiting
%------------------------------------------------------------------------------