%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL547+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:52:54 AM UTC 2026
% Result : Theorem 71.23s 16.44s
% Output : Refutation 109.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 40
% Syntax : Number of formulae : 205 ( 105 unt; 0 def)
% Number of atoms : 327 ( 58 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 216 ( 94 ~; 79 |; 2 &)
% ( 15 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 21 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 289 ( 287 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).
fof(f4,axiom,
( implies_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_1) ).
fof(f5,axiom,
( implies_2
<=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_2) ).
fof(f6,axiom,
( implies_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_3) ).
fof(f7,axiom,
( and_1
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1) ).
fof(f8,axiom,
( and_2
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_2) ).
fof(f9,axiom,
( and_3
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_3) ).
fof(f10,axiom,
( or_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_1) ).
fof(f12,axiom,
( or_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_3) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_equiv) ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_ponens) ).
fof(f37,axiom,
implies_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_1) ).
fof(f38,axiom,
implies_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_2) ).
fof(f39,axiom,
implies_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_3) ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_1) ).
fof(f41,axiom,
and_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_2) ).
fof(f42,axiom,
and_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_3) ).
fof(f43,axiom,
or_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_or_1) ).
fof(f45,axiom,
or_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_or_3) ).
fof(f49,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',use_substitution_of_equivalents) ).
fof(f50,axiom,
( necessitation
<=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',necessitation) ).
fof(f54,axiom,
( axiom_K
<=> ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_K) ).
fof(f55,axiom,
( axiom_M
<=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_M) ).
fof(f56,axiom,
( axiom_4
<=> ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f61,axiom,
( axiom_s3
<=> ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_s3) ).
fof(f73,axiom,
( op_possibly
=> ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_possibly) ).
fof(f75,axiom,
( op_strict_implies
=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_strict_implies) ).
fof(f78,axiom,
necessitation,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_necessitation) ).
fof(f79,axiom,
axiom_K,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_K) ).
fof(f80,axiom,
axiom_M,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_M) ).
fof(f81,axiom,
axiom_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_4) ).
fof(f83,axiom,
op_possibly,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_possibly) ).
fof(f84,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_or) ).
fof(f86,axiom,
op_strict_implies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
fof(f87,axiom,
op_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_equiv) ).
fof(f89,conjecture,
axiom_s3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_m6s3m9b_axiom_s3) ).
fof(f90,negated_conjecture,
~ axiom_s3,
inference(negated_conjecture,[status(cth)],[f89]) ).
fof(f91,plain,
~ axiom_s3,
inference(flattening,[],[f90]) ).
fof(f92,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0)))))
=> axiom_s3 ),
inference(unused_predicate_definition_removal,[],[f61]) ).
fof(f94,plain,
( axiom_4
=> ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
inference(unused_predicate_definition_removal,[],[f56]) ).
fof(f95,plain,
( axiom_M
=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f55]) ).
fof(f96,plain,
( axiom_K
=> ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
inference(unused_predicate_definition_removal,[],[f54]) ).
fof(f97,plain,
( necessitation
=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f101,plain,
( or_3
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f103,plain,
( or_1
=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f104,plain,
( and_3
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f105,plain,
( and_2
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f106,plain,
( and_1
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f107,plain,
( implies_3
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f108,plain,
( implies_2
=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f109,plain,
( implies_1
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f111,plain,
( substitution_of_equivalents
=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f112,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f117,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f112]) ).
fof(f118,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) )
| ~ substitution_of_equivalents ),
inference(ennf_transformation,[],[f111]) ).
fof(f121,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(ennf_transformation,[],[f109]) ).
fof(f122,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(ennf_transformation,[],[f108]) ).
fof(f123,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ implies_3 ),
inference(ennf_transformation,[],[f107]) ).
fof(f124,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(ennf_transformation,[],[f106]) ).
fof(f125,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(ennf_transformation,[],[f105]) ).
fof(f126,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(ennf_transformation,[],[f104]) ).
fof(f127,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(ennf_transformation,[],[f103]) ).
fof(f129,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
| ~ or_3 ),
inference(ennf_transformation,[],[f101]) ).
fof(f133,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f134,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f135,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(ennf_transformation,[],[f31]) ).
fof(f136,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ necessitation ),
inference(ennf_transformation,[],[f97]) ).
fof(f137,plain,
( ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))
| ~ axiom_K ),
inference(ennf_transformation,[],[f96]) ).
fof(f138,plain,
( ! [X0] : is_a_theorem(implies(necessarily(X0),X0))
| ~ axiom_M ),
inference(ennf_transformation,[],[f95]) ).
fof(f139,plain,
( ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
| ~ axiom_4 ),
inference(ennf_transformation,[],[f94]) ).
fof(f141,plain,
( axiom_s3
| ? [X0,X1] : ~ is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))) ),
inference(ennf_transformation,[],[f92]) ).
fof(f142,plain,
( ! [X0] : possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(ennf_transformation,[],[f73]) ).
fof(f143,plain,
( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(ennf_transformation,[],[f75]) ).
fof(f145,plain,
( axiom_s3
| ~ is_a_theorem(strict_implies(strict_implies(sK0,sK1),strict_implies(not(possibly(sK1)),not(possibly(sK0))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f141]) ).
fof(f146,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f118]) ).
fof(f147,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[],[f119]) ).
fof(f149,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(cnf_transformation,[],[f121]) ).
fof(f150,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(cnf_transformation,[],[f122]) ).
fof(f151,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ implies_3 ),
inference(cnf_transformation,[],[f123]) ).
fof(f152,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f153,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(cnf_transformation,[],[f125]) ).
fof(f154,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(cnf_transformation,[],[f126]) ).
fof(f155,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f157,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
| ~ or_3 ),
inference(cnf_transformation,[],[f129]) ).
fof(f161,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f133]) ).
fof(f162,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f134]) ).
fof(f163,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[],[f135]) ).
fof(f165,plain,
op_implies_and,
inference(cnf_transformation,[],[f33]) ).
fof(f167,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f169,plain,
implies_1,
inference(cnf_transformation,[],[f37]) ).
fof(f170,plain,
implies_2,
inference(cnf_transformation,[],[f38]) ).
fof(f171,plain,
implies_3,
inference(cnf_transformation,[],[f39]) ).
fof(f172,plain,
and_1,
inference(cnf_transformation,[],[f40]) ).
fof(f173,plain,
and_2,
inference(cnf_transformation,[],[f41]) ).
fof(f174,plain,
and_3,
inference(cnf_transformation,[],[f42]) ).
fof(f175,plain,
or_1,
inference(cnf_transformation,[],[f43]) ).
fof(f177,plain,
or_3,
inference(cnf_transformation,[],[f45]) ).
fof(f181,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f49]) ).
fof(f182,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0)
| ~ necessitation ),
inference(cnf_transformation,[],[f136]) ).
fof(f183,plain,
! [X0,X1] :
( is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))
| ~ axiom_K ),
inference(cnf_transformation,[],[f137]) ).
fof(f184,plain,
! [X0] :
( is_a_theorem(implies(necessarily(X0),X0))
| ~ axiom_M ),
inference(cnf_transformation,[],[f138]) ).
fof(f185,plain,
! [X0] :
( is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
| ~ axiom_4 ),
inference(cnf_transformation,[],[f139]) ).
fof(f187,plain,
( axiom_s3
| ~ is_a_theorem(strict_implies(strict_implies(sK0,sK1),strict_implies(not(possibly(sK1)),not(possibly(sK0))))) ),
inference(cnf_transformation,[],[f145]) ).
fof(f188,plain,
! [X0] :
( possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(cnf_transformation,[],[f142]) ).
fof(f189,plain,
! [X0,X1] :
( strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(cnf_transformation,[],[f143]) ).
fof(f192,plain,
necessitation,
inference(cnf_transformation,[],[f78]) ).
fof(f193,plain,
axiom_K,
inference(cnf_transformation,[],[f79]) ).
fof(f194,plain,
axiom_M,
inference(cnf_transformation,[],[f80]) ).
fof(f195,plain,
axiom_4,
inference(cnf_transformation,[],[f81]) ).
fof(f197,plain,
op_possibly,
inference(cnf_transformation,[],[f83]) ).
fof(f198,plain,
op_or,
inference(cnf_transformation,[],[f84]) ).
fof(f199,plain,
op_strict_implies,
inference(cnf_transformation,[],[f86]) ).
fof(f200,plain,
op_equiv,
inference(cnf_transformation,[],[f87]) ).
fof(f202,plain,
~ axiom_s3,
inference(cnf_transformation,[],[f91]) ).
fof(f204,plain,
! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)),
inference(forward_subsumption_resolution,[],[f189,f199]) ).
fof(f205,plain,
! [X0] : possibly(X0) = not(necessarily(not(X0))),
inference(forward_subsumption_resolution,[],[f188,f197]) ).
fof(f206,plain,
~ is_a_theorem(strict_implies(strict_implies(sK0,sK1),strict_implies(not(possibly(sK1)),not(possibly(sK0))))),
inference(forward_subsumption_resolution,[],[f187,f202]) ).
fof(f208,plain,
! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))),
inference(forward_subsumption_resolution,[],[f185,f195]) ).
fof(f209,plain,
! [X0] : is_a_theorem(implies(necessarily(X0),X0)),
inference(forward_subsumption_resolution,[],[f184,f194]) ).
fof(f210,plain,
! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))),
inference(forward_subsumption_resolution,[],[f183,f193]) ).
fof(f211,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ),
inference(forward_subsumption_resolution,[],[f182,f192]) ).
fof(f212,plain,
! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
inference(forward_subsumption_resolution,[],[f163,f200]) ).
fof(f213,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(forward_subsumption_resolution,[],[f162,f165]) ).
fof(f214,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f161,f198]) ).
fof(f218,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))),
inference(forward_subsumption_resolution,[],[f157,f177]) ).
fof(f220,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(forward_subsumption_resolution,[],[f155,f175]) ).
fof(f221,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))),
inference(forward_subsumption_resolution,[],[f154,f174]) ).
fof(f222,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)),
inference(forward_subsumption_resolution,[],[f153,f173]) ).
fof(f223,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)),
inference(forward_subsumption_resolution,[],[f152,f172]) ).
fof(f224,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(forward_subsumption_resolution,[],[f151,f171]) ).
fof(f225,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(forward_subsumption_resolution,[],[f150,f170]) ).
fof(f226,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(forward_subsumption_resolution,[],[f149,f169]) ).
fof(f228,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f147,f181]) ).
fof(f229,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f146,f167]) ).
fof(f231,plain,
~ is_a_theorem(necessarily(implies(strict_implies(sK0,sK1),strict_implies(not(possibly(sK1)),not(possibly(sK0)))))),
inference(forward_demodulation,[],[f206,f204]) ).
fof(f233,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f214,f213]) ).
fof(f237,plain,
! [X0,X1] :
( ~ is_a_theorem(and(implies(X0,X1),implies(X1,X0)))
| X0 = X1 ),
inference(forward_demodulation,[],[f228,f212]) ).
fof(f239,plain,
~ is_a_theorem(necessarily(implies(strict_implies(sK0,sK1),necessarily(implies(not(possibly(sK1)),not(possibly(sK0))))))),
inference(forward_demodulation,[],[f231,f204]) ).
fof(f240,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(backward_demodulation,[],[f220,f233]) ).
fof(f242,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(implies(not(X0),X1),X2)))),
inference(backward_demodulation,[],[f218,f233]) ).
fof(f243,plain,
~ is_a_theorem(necessarily(implies(strict_implies(sK0,sK1),necessarily(implies(not(possibly(sK1)),not(not(necessarily(not(sK0))))))))),
inference(forward_demodulation,[],[f239,f205]) ).
fof(f244,plain,
~ is_a_theorem(necessarily(implies(strict_implies(sK0,sK1),necessarily(implies(not(not(necessarily(not(sK1)))),not(not(necessarily(not(sK0))))))))),
inference(forward_demodulation,[],[f243,f205]) ).
fof(f245,plain,
~ is_a_theorem(necessarily(implies(necessarily(implies(sK0,sK1)),necessarily(implies(not(not(necessarily(not(sK1)))),not(not(necessarily(not(sK0))))))))),
inference(forward_demodulation,[],[f244,f204]) ).
fof(f246,plain,
~ is_a_theorem(implies(necessarily(implies(sK0,sK1)),necessarily(implies(not(not(necessarily(not(sK1)))),not(not(necessarily(not(sK0)))))))),
inference(resolution,[],[f211,f245]) ).
fof(f248,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f225,f229]) ).
fof(f249,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f242,f248]) ).
fof(f250,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),implies(implies(not(X0),X2),X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f242,f229]) ).
fof(f264,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f224,f229]) ).
fof(f284,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f226,f248]) ).
fof(f285,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f226,f264]) ).
fof(f291,plain,
! [X0] : is_a_theorem(implies(X0,and(X0,X0))),
inference(resolution,[],[f221,f248]) ).
fof(f293,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,and(X0,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f221,f229]) ).
fof(f310,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f293,f229]) ).
fof(f312,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(X0,X1))
| X0 = X1 ),
inference(resolution,[],[f310,f237]) ).
fof(f313,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,necessarily(X0)))
| necessarily(X0) = X0 ),
inference(resolution,[],[f312,f209]) ).
fof(f320,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X0))
| implies(not(X0),X1) = X0 ),
inference(resolution,[],[f312,f240]) ).
fof(f321,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X0,X1))))
| implies(X0,X1) = implies(X0,implies(X0,X1)) ),
inference(resolution,[],[f312,f225]) ).
fof(f322,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X1,X2)))
| implies(X1,X2) = implies(implies(not(X0),X1),X2)
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f312,f250]) ).
fof(f323,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X1),implies(X0,X1)))
| implies(X0,X1) = implies(implies(not(X0),X0),X1) ),
inference(resolution,[],[f312,f249]) ).
fof(f327,plain,
! [X0] :
( ~ is_a_theorem(implies(and(X0,X0),X0))
| and(X0,X0) = X0 ),
inference(resolution,[],[f312,f291]) ).
fof(f330,plain,
! [X0] : and(X0,X0) = X0,
inference(forward_subsumption_resolution,[],[f327,f222]) ).
fof(f331,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(not(X0),X0),X1),
inference(forward_subsumption_resolution,[],[f323,f285]) ).
fof(f332,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X2))
| implies(X1,X2) = implies(implies(not(X0),X1),X2) ),
inference(forward_subsumption_resolution,[],[f322,f285]) ).
fof(f333,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,implies(X0,X1)),
inference(forward_subsumption_resolution,[],[f321,f226]) ).
fof(f348,plain,
! [X0] : implies(not(X0),X0) = not(not(X0)),
inference(superposition,[],[f213,f330]) ).
fof(f353,plain,
~ is_a_theorem(implies(necessarily(implies(sK0,sK1)),necessarily(implies(not(not(necessarily(not(sK1)))),implies(not(necessarily(not(sK0))),necessarily(not(sK0))))))),
inference(backward_demodulation,[],[f246,f348]) ).
fof(f358,plain,
~ is_a_theorem(implies(necessarily(implies(sK0,sK1)),necessarily(implies(implies(not(necessarily(not(sK1))),necessarily(not(sK1))),implies(not(necessarily(not(sK0))),necessarily(not(sK0))))))),
inference(forward_demodulation,[],[f353,f348]) ).
fof(f360,plain,
~ is_a_theorem(implies(necessarily(implies(sK0,sK1)),necessarily(implies(necessarily(not(sK1)),implies(not(necessarily(not(sK0))),necessarily(not(sK0))))))),
inference(forward_demodulation,[],[f358,f331]) ).
fof(f364,plain,
! [X0,X1] : implies(X1,not(X0)) = not(and(X1,implies(not(X0),X0))),
inference(superposition,[],[f213,f348]) ).
fof(f365,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(implies(not(X0),X0),X1))),
inference(superposition,[],[f240,f348]) ).
fof(f378,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(forward_demodulation,[],[f365,f331]) ).
fof(f400,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1))),
inference(superposition,[],[f224,f333]) ).
fof(f423,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(not(X1),X0),X1),
inference(resolution,[],[f332,f284]) ).
fof(f430,plain,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(implies(not(not(X1)),X0),implies(X1,X2)),
inference(resolution,[],[f332,f378]) ).
fof(f436,plain,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(implies(implies(not(X1),X1),X0),implies(X1,X2)),
inference(forward_demodulation,[],[f430,f348]) ).
fof(f439,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| implies(not(X0),X1) = X0 ),
inference(backward_demodulation,[],[f320,f423]) ).
fof(f440,plain,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(implies(X1,X0),implies(X1,X2)),
inference(forward_demodulation,[],[f436,f331]) ).
fof(f444,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(backward_demodulation,[],[f400,f440]) ).
fof(f446,plain,
! [X0] : implies(not(X0),X0) = X0,
inference(resolution,[],[f439,f284]) ).
fof(f460,plain,
! [X0] : not(not(X0)) = X0,
inference(backward_demodulation,[],[f348,f446]) ).
fof(f461,plain,
! [X0,X1] : implies(X1,not(X0)) = not(and(X1,X0)),
inference(backward_demodulation,[],[f364,f446]) ).
fof(f463,plain,
~ is_a_theorem(implies(necessarily(implies(sK0,sK1)),necessarily(implies(necessarily(not(sK1)),necessarily(not(sK0)))))),
inference(backward_demodulation,[],[f360,f446]) ).
fof(f621,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X0))
| implies(implies(X0,X1),X1) = X0 ),
inference(resolution,[],[f444,f312]) ).
fof(f753,plain,
! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
inference(superposition,[],[f460,f461]) ).
fof(f758,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(X0,not(X1))),X0)),
inference(backward_demodulation,[],[f223,f753]) ).
fof(f834,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(X1,X0)),X1)),
inference(superposition,[],[f758,f460]) ).
fof(f3133,plain,
! [X0] : necessarily(X0) = necessarily(necessarily(X0)),
inference(resolution,[],[f208,f313]) ).
fof(f4175,plain,
! [X2,X0,X1] : implies(X0,X1) = implies(implies(not(not(implies(X1,X2))),X0),X1),
inference(resolution,[],[f834,f332]) ).
fof(f4244,plain,
! [X2,X0,X1] : implies(X0,X1) = implies(implies(implies(X1,X2),X0),X1),
inference(forward_demodulation,[],[f4175,f460]) ).
fof(f4246,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| implies(implies(X0,X1),X1) = X0 ),
inference(backward_demodulation,[],[f621,f4244]) ).
fof(f4258,plain,
! [X0,X1] : implies(not(X0),X1) = implies(implies(implies(not(X0),X1),X0),X0),
inference(resolution,[],[f4246,f240]) ).
fof(f4324,plain,
! [X0,X1] : implies(not(X0),X1) = implies(implies(X1,X0),X0),
inference(forward_demodulation,[],[f4258,f423]) ).
fof(f4416,plain,
! [X0,X1] : implies(not(X0),not(X1)) = implies(implies(implies(X0,X1),X1),X0),
inference(superposition,[],[f4324,f4324]) ).
fof(f4589,plain,
! [X0,X1] : implies(X1,X0) = implies(not(X0),not(X1)),
inference(forward_demodulation,[],[f4416,f4244]) ).
fof(f8889,plain,
! [X0,X1] :
( ~ is_a_theorem(necessarily(implies(X0,X1)))
| is_a_theorem(implies(necessarily(X0),necessarily(X1))) ),
inference(resolution,[],[f210,f229]) ).
fof(f8945,plain,
! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(not(X1)),necessarily(not(X0))))),
inference(superposition,[],[f210,f4589]) ).
fof(f39152,plain,
! [X0,X1] :
( is_a_theorem(implies(necessarily(X0),necessarily(X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f8889,f211]) ).
fof(f39334,plain,
! [X0,X1] :
( is_a_theorem(implies(necessarily(X0),necessarily(X1)))
| ~ is_a_theorem(implies(necessarily(X0),X1)) ),
inference(superposition,[],[f39152,f3133]) ).
fof(f39413,plain,
~ is_a_theorem(implies(necessarily(implies(sK0,sK1)),implies(necessarily(not(sK1)),necessarily(not(sK0))))),
inference(resolution,[],[f39334,f463]) ).
fof(f39520,plain,
$false,
inference(forward_subsumption_resolution,[],[f39413,f8945]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL547+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n003.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 16:00:57 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 9.59/2.27 % (742090)Detected formulas, will run a generic FOF schedule.
% 9.59/2.27 % (742099)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=698379912:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.59/2.27 % (742099)Refutation not found, incomplete strategy
% 9.59/2.27 % (742099)------------------------------
% 9.59/2.27 % (742099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.27 % (742099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.27 % (742099)CaDiCaL version: 2.1.3
% 9.59/2.27 % (742099)Termination reason: Refutation not found, incomplete strategy
% 9.59/2.27 % (742099)Time elapsed: 0.0000 s
% 9.59/2.27 % (742099)Peak memory usage: 87 MB
% 9.59/2.27 % (742101)dis-21_1_sil=8000:lcm=predicate:random_seed=2306414117: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)
% 9.59/2.27 % (742096)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=150032307:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.59/2.27 % (742097)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=310816047:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.59/2.27 % (742095)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=3151794852:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.59/2.27 % (742098)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1302475074:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.59/2.27 % (742100)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=997228010:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.59/2.27 % (742098)Refutation not found, incomplete strategy
% 9.59/2.27 % (742098)------------------------------
% 9.59/2.27 % (742098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.27 % (742098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.27 % (742098)CaDiCaL version: 2.1.3
% 9.59/2.27 % (742098)Termination reason: Refutation not found, incomplete strategy
% 9.59/2.27 % (742098)Time elapsed: 0.001 s
% 9.59/2.27 % (742098)Peak memory usage: 87 MB
% 9.59/2.27 % (742101)Refutation not found, incomplete strategy
% 9.59/2.27 % (742101)------------------------------
% 9.59/2.27 % (742101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.27 % (742101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.27 % (742101)CaDiCaL version: 2.1.3
% 9.59/2.27 % (742101)Termination reason: Refutation not found, incomplete strategy
% 9.59/2.27 % (742101)Time elapsed: 0.002 s
% 9.59/2.27 % (742101)Peak memory usage: 88 MB
% 9.59/2.27 % (742101)Instructions burned: 1 (million)
% 9.59/2.27 % (742100)Instruction limit reached!
% 9.59/2.27 % (742100)------------------------------
% 9.59/2.27 % (742100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.27 % (742100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.27 % (742100)CaDiCaL version: 2.1.3
% 9.59/2.27 % (742100)Termination reason: Instruction limit
% 9.59/2.27 % (742100)Termination phase: Saturation
% 9.59/2.27 % (742100)Time elapsed: 0.088 s
% 9.59/2.27 % (742100)Peak memory usage: 91 MB
% 9.59/2.27 % (742100)Instructions burned: 140 (million)
% 9.59/2.27 % (742099)------------------------------
% 9.59/2.27 % (742099)------------------------------
% 9.59/2.27 % (742110)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4181607517:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.59/2.27 % (742110)Refutation not found, incomplete strategy
% 9.59/2.27 % (742110)------------------------------
% 9.59/2.27 % (742110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.27 % (742110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.27 % (742110)CaDiCaL version: 2.1.3
% 9.59/2.27 % (742110)Termination reason: Refutation not found, incomplete strategy
% 9.59/2.27 % (742110)Time elapsed: 0.0000 s
% 9.59/2.27 % (742110)Peak memory usage: 87 MB
% 9.59/2.27 % (742109)lrs+10_1_sil=8000:sp=occurrence:random_seed=1726759743:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.75/2.75 % (742109)Refutation not found, incomplete strategy
% 12.75/2.75 % (742109)------------------------------
% 12.75/2.75 % (742109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.75 % (742109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.75 % (742109)CaDiCaL version: 2.1.3
% 12.75/2.75 % (742109)Termination reason: Refutation not found, incomplete strategy
% 12.75/2.75 % (742109)Time elapsed: 0.001 s
% 12.75/2.75 % (742109)Peak memory usage: 87 MB
% 12.75/2.75 % (742101)------------------------------
% 12.75/2.75 % (742101)------------------------------
% 12.75/2.75 % (742098)------------------------------
% 12.75/2.75 % (742098)------------------------------
% 12.75/2.75 % (742110)------------------------------
% 12.75/2.75 % (742110)------------------------------
% 12.75/2.75 % (742113)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3518577003:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.75/2.75 % (742114)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=585058070:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.75/2.75 % (742113)Refutation not found, incomplete strategy
% 12.75/2.75 % (742113)------------------------------
% 12.75/2.75 % (742113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.75 % (742113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.75 % (742113)CaDiCaL version: 2.1.3
% 12.75/2.75 % (742113)Termination reason: Refutation not found, incomplete strategy
% 12.75/2.75 % (742113)Time elapsed: 0.001 s
% 12.75/2.75 % (742113)Peak memory usage: 87 MB
% 12.75/2.75 % (742115)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3459250523:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 12.75/2.75 % (742115)Refutation not found, incomplete strategy
% 12.75/2.75 % (742115)------------------------------
% 12.75/2.75 % (742115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.75 % (742115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.75 % (742115)CaDiCaL version: 2.1.3
% 12.75/2.75 % (742115)Termination reason: Refutation not found, incomplete strategy
% 12.75/2.75 % (742115)Time elapsed: 0.0000 s
% 12.75/2.75 % (742115)Peak memory usage: 87 MB
% 12.75/2.75 % (742109)------------------------------
% 12.75/2.75 % (742109)------------------------------
% 12.75/2.75 % (742114)Instruction limit reached!
% 12.75/2.75 % (742114)------------------------------
% 12.75/2.75 % (742114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.75 % (742114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.75 % (742114)CaDiCaL version: 2.1.3
% 12.75/2.75 % (742114)Termination reason: Instruction limit
% 12.75/2.75 % (742114)Termination phase: Saturation
% 12.75/2.75 % (742114)Time elapsed: 0.152 s
% 12.75/2.75 % (742114)Peak memory usage: 93 MB
% 12.75/2.75 % (742114)Instructions burned: 249 (million)
% 12.75/2.75 % (742097)Refutation not found, incomplete strategy
% 12.75/2.75 % (742097)------------------------------
% 12.75/2.75 % (742097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.75 % (742097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.75 % (742097)CaDiCaL version: 2.1.3
% 12.75/2.75 % (742097)Termination reason: Refutation not found, incomplete strategy
% 12.75/2.75 % (742097)Time elapsed: 0.560 s
% 12.75/2.75 % (742097)Peak memory usage: 126 MB
% 12.75/2.75 % (742097)Instructions burned: 825 (million)
% 12.75/2.75 % (742119)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4105306002:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.75/2.75 % (742115)------------------------------
% 12.75/2.75 % (742115)------------------------------
% 12.75/2.75 % (742113)------------------------------
% 12.75/2.75 % (742113)------------------------------
% 12.75/2.75 % (742120)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3652960598:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.75/2.75 % (742122)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2671776860:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 12.75/2.75 % (742120)Refutation not found, incomplete strategy
% 12.75/2.75 % (742120)------------------------------
% 12.75/2.75 % (742120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.75 % (742120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.06 % (742120)CaDiCaL version: 2.1.3
% 15.62/3.06 % (742120)Termination reason: Refutation not found, incomplete strategy
% 15.62/3.06 % (742120)Time elapsed: 0.001 s
% 15.62/3.06 % (742120)Peak memory usage: 88 MB
% 15.62/3.06 % (742122)Instruction limit reached!
% 15.62/3.06 % (742122)------------------------------
% 15.62/3.06 % (742122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.06 % (742122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.06 % (742122)CaDiCaL version: 2.1.3
% 15.62/3.06 % (742122)Termination reason: Instruction limit
% 15.62/3.06 % (742122)Termination phase: Saturation
% 15.62/3.06 % (742122)Time elapsed: 0.037 s
% 15.62/3.06 % (742122)Peak memory usage: 89 MB
% 15.62/3.06 % (742122)Instructions burned: 128 (million)
% 15.62/3.06 % (742123)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2851796668:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 15.62/3.06 % (742123)Refutation not found, incomplete strategy
% 15.62/3.06 % (742123)------------------------------
% 15.62/3.06 % (742123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.06 % (742123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.06 % (742123)CaDiCaL version: 2.1.3
% 15.62/3.06 % (742123)Termination reason: Refutation not found, incomplete strategy
% 15.62/3.06 % (742123)Time elapsed: 0.001 s
% 15.62/3.06 % (742123)Peak memory usage: 87 MB
% 15.62/3.06 % (742097)------------------------------
% 15.62/3.06 % (742097)------------------------------
% 15.62/3.06 % (742126)lrs+10_1_sil=8000:sp=occurrence:random_seed=1270890150:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 15.62/3.06 % (742120)------------------------------
% 15.62/3.06 % (742120)------------------------------
% 15.62/3.06 % (742128)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3083721587:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 15.62/3.06 % (742128)Refutation not found, incomplete strategy
% 15.62/3.06 % (742128)------------------------------
% 15.62/3.06 % (742128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.06 % (742128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.06 % (742128)CaDiCaL version: 2.1.3
% 15.62/3.06 % (742128)Termination reason: Refutation not found, incomplete strategy
% 15.62/3.06 % (742128)Time elapsed: 0.001 s
% 15.62/3.06 % (742128)Peak memory usage: 88 MB
% 15.62/3.06 % (742123)------------------------------
% 15.62/3.06 % (742123)------------------------------
% 15.62/3.06 % (742130)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3604377238:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 15.62/3.06 % (742126)Instruction limit reached!
% 15.62/3.06 % (742126)------------------------------
% 15.62/3.06 % (742126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.06 % (742126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.06 % (742126)CaDiCaL version: 2.1.3
% 15.62/3.06 % (742126)Termination reason: Instruction limit
% 15.62/3.06 % (742126)Termination phase: Saturation
% 15.62/3.06 % (742126)Time elapsed: 0.305 s
% 15.62/3.06 % (742126)Peak memory usage: 101 MB
% 15.62/3.06 % (742126)Instructions burned: 910 (million)
% 15.62/3.06 % (742132)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=522918761:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 15.62/3.06 % (742132)Refutation not found, incomplete strategy
% 15.62/3.06 % (742132)------------------------------
% 15.62/3.06 % (742132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.06 % (742132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.06 % (742132)CaDiCaL version: 2.1.3
% 15.62/3.06 % (742132)Termination reason: Refutation not found, incomplete strategy
% 15.62/3.06 % (742132)Time elapsed: 0.002 s
% 15.62/3.06 % (742132)Peak memory usage: 89 MB
% 15.62/3.06 % (742132)Instructions burned: 1 (million)
% 15.62/3.06 % (742128)------------------------------
% 15.62/3.06 % (742128)------------------------------
% 15.62/3.06 % (742134)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=704710759:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 15.62/3.06 % (742134)Refutation not found, incomplete strategy
% 15.62/3.06 % (742134)------------------------------
% 19.01/3.69 % (742134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.01/3.69 % (742134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.01/3.69 % (742134)CaDiCaL version: 2.1.3
% 19.01/3.69 % (742134)Termination reason: Refutation not found, incomplete strategy
% 19.01/3.69 % (742134)Time elapsed: 0.001 s
% 19.01/3.69 % (742134)Peak memory usage: 88 MB
% 19.01/3.69 % (742134)Instructions burned: 1 (million)
% 19.01/3.69 % (742136)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=574552575:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 19.01/3.69 % (742134)------------------------------
% 19.01/3.69 % (742134)------------------------------
% 19.01/3.69 % (742132)------------------------------
% 19.01/3.69 % (742132)------------------------------
% 19.01/3.69 % (742139)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=4029586608:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 19.01/3.69 % (742139)Refutation not found, incomplete strategy
% 19.01/3.69 % (742139)------------------------------
% 19.01/3.69 % (742139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.01/3.69 % (742139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.01/3.69 % (742139)CaDiCaL version: 2.1.3
% 19.01/3.69 % (742139)Termination reason: Refutation not found, incomplete strategy
% 19.01/3.69 % (742139)Time elapsed: 0.001 s
% 19.01/3.69 % (742139)Peak memory usage: 87 MB
% 19.01/3.69 % (742139)Instructions burned: 1 (million)
% 19.01/3.69 % (742140)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1776284514:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 19.01/3.69 % (742139)------------------------------
% 19.01/3.69 % (742139)------------------------------
% 19.01/3.69 % (742140)Instruction limit reached!
% 19.01/3.69 % (742140)------------------------------
% 19.01/3.69 % (742140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.01/3.69 % (742140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.01/3.69 % (742140)CaDiCaL version: 2.1.3
% 19.01/3.69 % (742140)Termination reason: Instruction limit
% 19.01/3.69 % (742140)Termination phase: Saturation
% 19.01/3.69 % (742140)Time elapsed: 0.092 s
% 19.01/3.69 % (742140)Peak memory usage: 90 MB
% 19.01/3.69 % (742140)Instructions burned: 134 (million)
% 19.01/3.69 % (742143)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1699732101:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 19.01/3.69 % (742143)Refutation not found, incomplete strategy
% 19.01/3.69 % (742143)------------------------------
% 19.01/3.69 % (742143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.01/3.69 % (742143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.01/3.69 % (742143)CaDiCaL version: 2.1.3
% 19.01/3.69 % (742143)Termination reason: Refutation not found, incomplete strategy
% 19.01/3.69 % (742143)Time elapsed: 0.0000 s
% 19.01/3.69 % (742143)Peak memory usage: 87 MB
% 19.01/3.69 [W927 16:00:59.684404912 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.01/3.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.01/3.69 [W927 16:00:59.684447282 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.01/3.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.01/3.69 [W927 16:00:59.684486560 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.01/3.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.01/3.69 [W927 16:00:59.684499590 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.01/3.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.85/5.44 [W927 16:00:59.684525630 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 31.85/5.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.85/5.44 [W927 16:00:59.684536874 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 31.85/5.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.85/5.44 [W927 16:00:59.684563634 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 31.85/5.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.85/5.44 [W927 16:00:59.684623698 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 31.85/5.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.85/5.44 [W927 16:00:59.684677569 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 31.85/5.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.85/5.44 [W927 16:00:59.684694052 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 31.85/5.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.85/5.44 [W927 16:00:59.684720982 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 31.85/5.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.85/5.44 [W927 16:00:59.684732273 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 31.85/5.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.85/5.44 % (742144)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2401102086:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 31.85/5.44 % (742144)Refutation not found, incomplete strategy
% 31.85/5.44 % (742144)------------------------------
% 31.85/5.44 % (742144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.85/5.44 % (742144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.85/5.44 % (742144)CaDiCaL version: 2.1.3
% 31.85/5.44 % (742144)Termination reason: Refutation not found, incomplete strategy
% 31.85/5.44 % (742144)Time elapsed: 0.001 s
% 31.85/5.44 % (742144)Peak memory usage: 87 MB
% 31.85/5.44 % (742143)------------------------------
% 31.85/5.44 % (742143)------------------------------
% 31.85/5.44 % (742136)Refutation not found, incomplete strategy
% 31.85/5.44 % (742136)------------------------------
% 31.85/5.44 % (742136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.85/5.44 % (742136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.85/5.44 % (742136)CaDiCaL version: 2.1.3
% 31.85/5.44 % (742136)Termination reason: Refutation not found, incomplete strategy
% 31.85/5.44 % (742136)Time elapsed: 0.559 s
% 31.85/5.44 % (742136)Peak memory usage: 126 MB
% 31.85/5.44 % (742136)Instructions burned: 826 (million)
% 31.85/5.44 % (742147)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=3021726173:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 31.85/5.44 % (742144)------------------------------
% 31.85/5.44 % (742144)------------------------------
% 31.85/5.44 % (742119)Instruction limit reached!
% 32.73/5.54 % (742119)------------------------------
% 32.73/5.54 % (742119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/5.54 % (742119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/5.54 % (742119)CaDiCaL version: 2.1.3
% 32.73/5.54 % (742119)Termination reason: Instruction limit
% 32.73/5.54 % (742119)Termination phase: Saturation
% 32.73/5.54 % (742119)Time elapsed: 1.451 s
% 32.73/5.54 % (742119)Peak memory usage: 142 MB
% 32.73/5.54 % (742119)Instructions burned: 2350 (million)
% 32.73/5.54 % (742136)------------------------------
% 32.73/5.54 % (742136)------------------------------
% 32.73/5.54 % (742149)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=2453689430:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 32.73/5.54 % (742150)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1556276240:i=14155:bd=all_2978 on theBenchmark for (2978ds/14155Mi)
% 32.73/5.54 % (742149)Instruction limit reached!
% 32.73/5.54 % (742149)------------------------------
% 32.73/5.54 % (742149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/5.54 % (742149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/5.54 % (742149)CaDiCaL version: 2.1.3
% 32.73/5.54 % (742149)Termination reason: Instruction limit
% 32.73/5.54 % (742149)Termination phase: Saturation
% 32.73/5.54 % (742149)Time elapsed: 0.082 s
% 32.73/5.54 % (742149)Peak memory usage: 91 MB
% 32.73/5.54 % (742149)Instructions burned: 151 (million)
% 32.73/5.54 % (742151)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3022417790:i=667:av=off:fsr=off_2976 on theBenchmark for (2976ds/667Mi)
% 32.73/5.54 % (742151)Refutation not found, incomplete strategy
% 32.73/5.54 % (742151)------------------------------
% 32.73/5.54 % (742151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/5.54 % (742151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/5.54 % (742151)CaDiCaL version: 2.1.3
% 32.73/5.54 % (742151)Termination reason: Refutation not found, incomplete strategy
% 32.73/5.54 % (742151)Time elapsed: 0.002 s
% 32.73/5.54 % (742151)Peak memory usage: 88 MB
% 32.73/5.54 % (742151)Instructions burned: 1 (million)
% 32.73/5.54 % (742154)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=1728166176:s2a=on:i=185:s2at=1.8:fdi=4_2976 on theBenchmark for (2976ds/185Mi)
% 32.73/5.54 % (742154)Instruction limit reached!
% 32.73/5.54 % (742154)------------------------------
% 32.73/5.54 % (742154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/5.54 % (742154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/5.54 % (742154)CaDiCaL version: 2.1.3
% 32.73/5.54 % (742154)Termination reason: Instruction limit
% 32.73/5.54 % (742154)Termination phase: Saturation
% 32.73/5.54 % (742154)Time elapsed: 0.095 s
% 32.73/5.54 % (742154)Peak memory usage: 91 MB
% 32.73/5.54 % (742154)Instructions burned: 185 (million)
% 32.73/5.54 % (742151)------------------------------
% 32.73/5.54 % (742151)------------------------------
% 32.73/5.54 % (742159)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1830812455:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2973 on theBenchmark for (2973ds/193Mi)
% 32.73/5.54 % (742159)Refutation not found, incomplete strategy
% 32.73/5.54 % (742159)------------------------------
% 32.73/5.54 % (742159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/5.54 % (742159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/5.54 % (742159)CaDiCaL version: 2.1.3
% 32.73/5.54 % (742159)Termination reason: Refutation not found, incomplete strategy
% 32.73/5.54 % (742159)Time elapsed: 0.001 s
% 32.73/5.54 % (742159)Peak memory usage: 87 MB
% 32.73/5.54 % (742160)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2005029864:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2973 on theBenchmark for (2973ds/4850Mi)
% 32.73/5.54 % (742160)Refutation not found, incomplete strategy
% 32.73/5.54 % (742160)------------------------------
% 32.73/5.54 % (742160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/5.54 % (742160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.21/6.48 % (742160)CaDiCaL version: 2.1.3
% 39.21/6.48 % (742160)Termination reason: Refutation not found, incomplete strategy
% 39.21/6.48 % (742160)Time elapsed: 0.002 s
% 39.21/6.48 % (742160)Peak memory usage: 88 MB
% 39.21/6.48 % (742160)Instructions burned: 1 (million)
% 39.21/6.48 % (742159)------------------------------
% 39.21/6.48 % (742159)------------------------------
% 39.21/6.48 % (742160)------------------------------
% 39.21/6.48 % (742160)------------------------------
% 39.21/6.48 % (742163)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1318940347:i=12111:sd=1:ss=included_2969 on theBenchmark for (2969ds/12111Mi)
% 39.21/6.48 % (742164)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4082000505:i=319:kws=precedence:fsr=off_2969 on theBenchmark for (2969ds/319Mi)
% 39.21/6.48 % (742164)Instruction limit reached!
% 39.21/6.48 % (742164)------------------------------
% 39.21/6.48 % (742164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.21/6.48 % (742164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.21/6.48 % (742164)CaDiCaL version: 2.1.3
% 39.21/6.48 % (742164)Termination reason: Instruction limit
% 39.21/6.48 % (742164)Termination phase: Saturation
% 39.21/6.48 % (742164)Time elapsed: 0.206 s
% 39.21/6.48 % (742164)Peak memory usage: 94 MB
% 39.21/6.48 % (742164)Instructions burned: 319 (million)
% 39.21/6.48 % (742167)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2098386353:i=2064:ep=RST_2965 on theBenchmark for (2965ds/2064Mi)
% 39.21/6.48 % (742167)Refutation not found, incomplete strategy
% 39.21/6.48 % (742167)------------------------------
% 39.21/6.48 % (742167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.21/6.48 % (742167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.21/6.48 % (742167)CaDiCaL version: 2.1.3
% 39.21/6.48 % (742167)Termination reason: Refutation not found, incomplete strategy
% 39.21/6.48 % (742167)Time elapsed: 0.002 s
% 39.21/6.48 % (742167)Peak memory usage: 88 MB
% 39.21/6.48 % (742167)Instructions burned: 2 (million)
% 39.21/6.48 % (742167)------------------------------
% 39.21/6.48 % (742167)------------------------------
% 39.21/6.48 % (742169)dis-1011_128_sil=32000:random_seed=1408083635:i=3706:ep=RST:av=off_2962 on theBenchmark for (2962ds/3706Mi)
% 39.21/6.48 % (742130)Instruction limit reached!
% 39.21/6.48 % (742130)------------------------------
% 39.21/6.48 % (742130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.21/6.48 % (742130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.21/6.48 % (742130)CaDiCaL version: 2.1.3
% 39.21/6.48 % (742130)Termination reason: Instruction limit
% 39.21/6.48 % (742130)Termination phase: Saturation
% 39.21/6.48 % (742130)Time elapsed: 2.994 s
% 39.21/6.48 % (742130)Peak memory usage: 176 MB
% 39.21/6.48 % (742130)Instructions burned: 5203 (million)
% 39.21/6.48 % (742147)Instruction limit reached!
% 39.21/6.48 % (742147)------------------------------
% 39.21/6.48 % (742147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.21/6.48 % (742147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.21/6.48 % (742147)CaDiCaL version: 2.1.3
% 39.21/6.48 % (742147)Termination reason: Instruction limit
% 39.21/6.48 % (742147)Termination phase: Saturation
% 39.21/6.48 % (742147)Time elapsed: 2.156 s
% 39.21/6.48 % (742147)Peak memory usage: 171 MB
% 39.21/6.48 % (742147)Instructions burned: 6061 (million)
% 39.21/6.48 % (742171)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3159969987:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2957 on theBenchmark for (2957ds/757Mi)
% 39.21/6.48 % (742171)Refutation not found, incomplete strategy
% 39.21/6.48 % (742171)------------------------------
% 39.21/6.48 % (742171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.21/6.48 % (742171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.21/6.48 % (742171)CaDiCaL version: 2.1.3
% 39.21/6.48 % (742171)Termination reason: Refutation not found, incomplete strategy
% 39.21/6.48 % (742171)Time elapsed: 0.001 s
% 39.21/6.48 % (742171)Peak memory usage: 87 MB
% 39.21/6.48 % (742172)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=268213675:i=13913:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/13913Mi)
% 39.21/6.48 [W927 16:01:02.373180247 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.18 [W927 16:01:02.373206939 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.18 [W927 16:01:02.373228938 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.18 [W927 16:01:02.373235596 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.19 [W927 16:01:02.373249762 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.19 [W927 16:01:02.373255522 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.19 [W927 16:01:02.373269390 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.19 [W927 16:01:02.373275547 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.19 [W927 16:01:02.373288914 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.19 [W927 16:01:02.373304717 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.19 [W927 16:01:02.373318037 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.19 [W927 16:01:02.373323809 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 51.27/8.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.27/8.19 % (742171)------------------------------
% 51.27/8.19 % (742171)------------------------------
% 51.27/8.19 % (742172)Refutation not found, incomplete strategy
% 51.27/8.19 % (742172)------------------------------
% 51.27/8.19 % (742172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.27/8.19 % (742172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.27/8.19 % (742172)CaDiCaL version: 2.1.3
% 51.27/8.19 % (742172)Termination reason: Refutation not found, incomplete strategy
% 79.91/12.22 % (742172)Time elapsed: 0.311 s
% 79.91/12.22 % (742172)Peak memory usage: 126 MB
% 79.91/12.22 % (742172)Instructions burned: 822 (million)
% 79.91/12.22 % (742175)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1595659914:i=9925:aac=none_2954 on theBenchmark for (2954ds/9925Mi)
% 79.91/12.22 % (742172)------------------------------
% 79.91/12.22 % (742172)------------------------------
% 79.91/12.22 % (742177)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=962637004:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2951 on theBenchmark for (2951ds/2479Mi)
% 79.91/12.22 % (742177)Refutation not found, incomplete strategy
% 79.91/12.22 % (742177)------------------------------
% 79.91/12.22 % (742177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.91/12.22 % (742177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.91/12.22 % (742177)CaDiCaL version: 2.1.3
% 79.91/12.22 % (742177)Termination reason: Refutation not found, incomplete strategy
% 79.91/12.22 % (742177)Time elapsed: 0.0000 s
% 79.91/12.22 % (742177)Peak memory usage: 87 MB
% 79.91/12.22 % (742177)------------------------------
% 79.91/12.22 % (742177)------------------------------
% 79.91/12.22 % (742179)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2080132594:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2949 on theBenchmark for (2949ds/440Mi)
% 79.91/12.22 % (742179)Instruction limit reached!
% 79.91/12.22 % (742179)------------------------------
% 79.91/12.22 % (742179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.91/12.22 % (742179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.91/12.22 % (742179)CaDiCaL version: 2.1.3
% 79.91/12.22 % (742179)Termination reason: Instruction limit
% 79.91/12.22 % (742179)Termination phase: Saturation
% 79.91/12.22 % (742179)Time elapsed: 0.116 s
% 79.91/12.22 % (742179)Peak memory usage: 93 MB
% 79.91/12.22 % (742179)Instructions burned: 441 (million)
% 79.91/12.22 % (742181)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=946924643:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2947 on theBenchmark for (2947ds/11145Mi)
% 79.91/12.22 [W927 16:01:03.413536056 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 79.91/12.22 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.91/12.22 [W927 16:01:03.413571951 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 79.91/12.22 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.91/12.22 [W927 16:01:03.413592990 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 79.91/12.22 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.91/12.22 [W927 16:01:03.413599474 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 79.91/12.22 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.91/12.22 [W927 16:01:03.413612839 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 79.91/12.22 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.91/12.22 [W927 16:01:03.413618431 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 79.91/12.22 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.91/12.22 [W927 16:01:03.413637763 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 81.98/12.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.98/12.60 [W927 16:01:03.413644306 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 81.98/12.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.98/12.60 [W927 16:01:03.413674869 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 81.98/12.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.98/12.60 [W927 16:01:03.413680168 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 81.98/12.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.98/12.60 [W927 16:01:03.413693984 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 81.98/12.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.98/12.60 [W927 16:01:03.413705782 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 81.98/12.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.98/12.60 % (742181)Refutation not found, incomplete strategy
% 81.98/12.60 % (742181)------------------------------
% 81.98/12.60 % (742181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.98/12.60 % (742181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.98/12.60 % (742181)CaDiCaL version: 2.1.3
% 81.98/12.60 % (742181)Termination reason: Refutation not found, incomplete strategy
% 81.98/12.60 % (742181)Time elapsed: 0.339 s
% 81.98/12.60 % (742181)Peak memory usage: 126 MB
% 81.98/12.60 % (742181)Instructions burned: 827 (million)
% 81.98/12.60 % (742181)------------------------------
% 81.98/12.60 % (742181)------------------------------
% 81.98/12.60 % (742183)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1987431506:cts=off:i=3034:av=off:er=known:fsd=on_2941 on theBenchmark for (2941ds/3034Mi)
% 81.98/12.60 % (742169)Instruction limit reached!
% 81.98/12.60 % (742169)------------------------------
% 81.98/12.60 % (742169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.98/12.60 % (742169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.98/12.60 % (742169)CaDiCaL version: 2.1.3
% 81.98/12.60 % (742169)Termination reason: Instruction limit
% 81.98/12.60 % (742169)Termination phase: Saturation
% 81.98/12.60 % (742169)Time elapsed: 2.472 s
% 81.98/12.60 % (742169)Peak memory usage: 148 MB
% 81.98/12.60 % (742169)Instructions burned: 3706 (million)
% 81.98/12.60 % (742185)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=584717395:st=2:s2a=on:i=524:s2at=2:ss=axioms_2935 on theBenchmark for (2935ds/524Mi)
% 81.98/12.60 % (742185)Refutation not found, incomplete strategy
% 81.98/12.60 % (742185)------------------------------
% 81.98/12.60 % (742185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.98/12.60 % (742185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.98/12.60 % (742185)CaDiCaL version: 2.1.3
% 81.98/12.60 % (742185)Termination reason: Refutation not found, incomplete strategy
% 81.98/12.60 % (742185)Time elapsed: 0.001 s
% 81.98/12.60 % (742185)Peak memory usage: 87 MB
% 81.98/12.60 % (742185)------------------------------
% 81.98/12.60 % (742185)------------------------------
% 81.98/12.60 % (742183)Instruction limit reached!
% 81.98/12.60 % (742183)------------------------------
% 81.98/12.60 % (742183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.98/12.60 % (742183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.98/12.60 % (742183)CaDiCaL version: 2.1.3
% 81.98/12.60 % (742183)Termination reason: Instruction limit
% 81.98/12.60 % (742183)Termination phase: Saturation
% 82.49/12.73 % (742183)Time elapsed: 1.351 s
% 82.49/12.73 % (742183)Peak memory usage: 156 MB
% 82.49/12.73 % (742183)Instructions burned: 4443 (million)
% 82.49/12.73 % (742188)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2285874746:i=14123:bd=preordered:ins=4_2926 on theBenchmark for (2926ds/14123Mi)
% 82.49/12.73 % (742187)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=580807532:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2932 on theBenchmark for (2932ds/1016Mi)
% 82.49/12.73 % (742187)Refutation not found, incomplete strategy
% 82.49/12.73 % (742187)------------------------------
% 82.49/12.73 % (742187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.49/12.73 % (742187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.49/12.73 % (742187)CaDiCaL version: 2.1.3
% 82.49/12.73 % (742187)Termination reason: Refutation not found, incomplete strategy
% 82.49/12.73 % (742187)Time elapsed: 0.001 s
% 82.49/12.73 % (742187)Peak memory usage: 87 MB
% 82.49/12.73 % (742187)------------------------------
% 82.49/12.73 % (742187)------------------------------
% 82.49/12.73 % (742191)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=160177568:i=5781:kws=precedence:bd=all:rawr=on_2923 on theBenchmark for (2923ds/5781Mi)
% 82.49/12.73 % (742163)Instruction limit reached!
% 82.49/12.73 % (742163)------------------------------
% 82.49/12.73 % (742163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.49/12.73 % (742163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.49/12.73 % (742163)CaDiCaL version: 2.1.3
% 82.49/12.73 % (742163)Termination reason: Instruction limit
% 82.49/12.73 % (742163)Termination phase: Saturation
% 82.49/12.73 % (742163)Time elapsed: 6.228 s
% 82.49/12.73 % (742163)Peak memory usage: 246 MB
% 82.49/12.73 % (742163)Instructions burned: 12113 (million)
% 82.49/12.73 % (742193)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=31541790:i=2448:gtgl=5:bd=preordered:gtg=all_2906 on theBenchmark for (2906ds/2448Mi)
% 82.49/12.73 % (742150)Instruction limit reached!
% 82.49/12.73 % (742150)------------------------------
% 82.49/12.73 % (742150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.49/12.73 % (742150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.49/12.73 % (742150)CaDiCaL version: 2.1.3
% 82.49/12.73 % (742150)Termination reason: Instruction limit
% 82.49/12.73 % (742150)Termination phase: Saturation
% 82.49/12.73 % (742150)Time elapsed: 8.495 s
% 82.49/12.73 % (742150)Peak memory usage: 250 MB
% 82.49/12.73 % (742150)Instructions burned: 14155 (million)
% 82.49/12.73 % (742195)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=2137991054:i=3223:kws=precedence:fgj=on:av=off_2891 on theBenchmark for (2891ds/3223Mi)
% 82.49/12.73 % (742193)Instruction limit reached!
% 82.49/12.73 % (742193)------------------------------
% 82.49/12.73 % (742193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.49/12.73 % (742193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.49/12.73 % (742193)CaDiCaL version: 2.1.3
% 82.49/12.73 % (742193)Termination reason: Instruction limit
% 82.49/12.73 % (742193)Termination phase: Saturation
% 82.49/12.73 % (742193)Time elapsed: 1.461 s
% 82.49/12.73 % (742193)Peak memory usage: 144 MB
% 82.49/12.73 % (742193)Instructions burned: 2450 (million)
% 82.49/12.73 % (742197)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2762057699:st=5.6:i=2033:sd=3:ss=axioms_2890 on theBenchmark for (2890ds/2033Mi)
% 82.49/12.73 % (742191)Instruction limit reached!
% 82.49/12.73 % (742191)------------------------------
% 82.49/12.73 % (742191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.49/12.73 % (742191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.49/12.73 % (742191)CaDiCaL version: 2.1.3
% 82.49/12.73 % (742191)Termination reason: Instruction limit
% 82.49/12.73 % (742191)Termination phase: Saturation
% 82.49/12.73 % (742191)Time elapsed: 3.397 s
% 82.49/12.73 % (742191)Peak memory usage: 166 MB
% 82.49/12.73 % (742191)Instructions burned: 5782 (million)
% 82.49/12.73 % (742175)Instruction limit reached!
% 82.49/12.73 % (742175)------------------------------
% 82.49/12.73 % (742175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.49/12.73 % (742175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.27/13.31 % (742175)CaDiCaL version: 2.1.3
% 87.27/13.31 % (742175)Termination reason: Instruction limit
% 87.27/13.31 % (742175)Termination phase: Saturation
% 87.27/13.31 % (742175)Time elapsed: 6.613 s
% 87.27/13.31 % (742175)Peak memory usage: 208 MB
% 87.27/13.31 % (742175)Instructions burned: 9925 (million)
% 87.27/13.31 % (742199)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=158886962:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2887 on theBenchmark for (2887ds/2055Mi)
% 87.27/13.31 % (742201)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=350278214:i=21611:sd=3:ss=axioms_2886 on theBenchmark for (2886ds/21611Mi)
% 87.27/13.31 % (742197)Refutation not found, incomplete strategy
% 87.27/13.31 % (742197)------------------------------
% 87.27/13.31 % (742197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.27/13.31 % (742197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.27/13.31 % (742197)CaDiCaL version: 2.1.3
% 87.27/13.31 % (742197)Termination reason: Refutation not found, incomplete strategy
% 87.27/13.31 % (742197)Time elapsed: 0.558 s
% 87.27/13.31 % (742197)Peak memory usage: 128 MB
% 87.27/13.31 % (742197)Instructions burned: 847 (million)
% 87.27/13.31 [W927 16:01:09.536473302 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 87.27/13.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 87.27/13.31 [W927 16:01:09.536510539 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 87.27/13.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 87.27/13.31 [W927 16:01:09.536546926 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 87.27/13.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 87.27/13.31 [W927 16:01:09.536559173 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 87.27/13.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 87.27/13.31 [W927 16:01:09.536585593 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 87.27/13.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 87.27/13.31 [W927 16:01:09.536596800 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 87.27/13.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 87.27/13.31 [W927 16:01:09.536622074 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 87.27/13.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 87.27/13.31 [W927 16:01:09.536633077 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 87.27/13.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 87.27/13.31 [W927 16:01:09.536657311 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 87.27/13.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 87.27/13.31 [W927 16:01:09.536679164 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.536706408 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.536720582 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.668979113 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.669021784 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.669059841 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.669072887 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.669099164 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.669110638 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.669136422 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.669147758 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.669173272 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.669184519 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 94.14/14.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.14/14.29 [W927 16:01:09.669209182 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 97.18/14.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.18/14.84 [W927 16:01:09.669220329 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 97.18/14.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.18/14.84 % (742199)Refutation not found, incomplete strategy
% 97.18/14.84 % (742199)------------------------------
% 97.18/14.84 % (742199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.18/14.84 % (742199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.18/14.84 % (742199)CaDiCaL version: 2.1.3
% 97.18/14.84 % (742199)Termination reason: Refutation not found, incomplete strategy
% 97.18/14.84 % (742199)Time elapsed: 0.547 s
% 97.18/14.84 % (742199)Peak memory usage: 126 MB
% 97.18/14.84 % (742199)Instructions burned: 827 (million)
% 97.18/14.84 % (742197)------------------------------
% 97.18/14.84 % (742197)------------------------------
% 97.18/14.84 % (742201)Refutation not found, incomplete strategy
% 97.18/14.84 % (742201)------------------------------
% 97.18/14.84 % (742201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.18/14.84 % (742201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.18/14.84 % (742201)CaDiCaL version: 2.1.3
% 97.18/14.84 % (742201)Termination reason: Refutation not found, incomplete strategy
% 97.18/14.84 % (742201)Time elapsed: 0.541 s
% 97.18/14.84 % (742201)Peak memory usage: 126 MB
% 97.18/14.84 % (742201)Instructions burned: 823 (million)
% 97.18/14.84 % (742203)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=833668807:i=4835:sd=13:ss=axioms:sgt=23_2880 on theBenchmark for (2880ds/4835Mi)
% 97.18/14.84 % (742203)Refutation not found, incomplete strategy
% 97.18/14.84 % (742203)------------------------------
% 97.18/14.84 % (742203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.18/14.84 % (742203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.18/14.84 % (742203)CaDiCaL version: 2.1.3
% 97.18/14.84 % (742203)Termination reason: Refutation not found, incomplete strategy
% 97.18/14.84 % (742203)Time elapsed: 0.002 s
% 97.18/14.84 % (742203)Peak memory usage: 88 MB
% 97.18/14.84 % (742203)Instructions burned: 2 (million)
% 97.18/14.84 % (742199)------------------------------
% 97.18/14.84 % (742199)------------------------------
% 97.18/14.84 % (742201)------------------------------
% 97.18/14.84 % (742201)------------------------------
% 97.18/14.84 % (742205)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=3916970040:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2878 on theBenchmark for (2878ds/797Mi)
% 97.18/14.84 % (742205)Refutation not found, incomplete strategy
% 97.18/14.84 % (742205)------------------------------
% 97.18/14.84 % (742205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.18/14.84 % (742205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.18/14.84 % (742205)CaDiCaL version: 2.1.3
% 97.18/14.84 % (742205)Termination reason: Refutation not found, incomplete strategy
% 97.18/14.84 % (742205)Time elapsed: 0.002 s
% 97.18/14.84 % (742205)Peak memory usage: 88 MB
% 97.18/14.84 % (742205)Instructions burned: 1 (million)
% 97.18/14.84 % (742203)------------------------------
% 97.18/14.84 % (742203)------------------------------
% 97.18/14.84 % (742206)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=1200822189:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2877 on theBenchmark for (2877ds/2326Mi)
% 97.18/14.84 % (742206)Refutation not found, incomplete strategy
% 97.18/14.84 % (742206)------------------------------
% 97.18/14.84 % (742206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.18/14.84 % (742206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.18/14.84 % (742206)CaDiCaL version: 2.1.3
% 97.18/14.84 % (742206)Termination reason: Refutation not found, incomplete strategy
% 97.18/14.84 % (742206)Time elapsed: 0.002 s
% 97.18/14.84 % (742206)Peak memory usage: 88 MB
% 97.18/14.84 % (742206)Instructions burned: 2 (million)
% 97.18/14.84 % (742208)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=2381793280:i=6038:nm=6_2876 on theBenchmark for (2876ds/6038Mi)
% 71.23/16.44 % (742188)Instruction limit reached!
% 71.23/16.44 % (742188)------------------------------
% 71.23/16.44 % (742188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/16.44 % (742188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/16.44 % (742188)CaDiCaL version: 2.1.3
% 71.23/16.44 % (742188)Termination reason: Instruction limit
% 71.23/16.44 % (742188)Termination phase: Saturation
% 71.23/16.44 % (742188)Time elapsed: 5.120 s
% 71.23/16.44 % (742188)Peak memory usage: 244 MB
% 71.23/16.44 % (742188)Instructions burned: 14124 (million)
% 71.23/16.44 % (742205)------------------------------
% 71.23/16.44 % (742205)------------------------------
% 71.23/16.44 % (742211)lrs+10_1_sil=32000:sp=occurrence:random_seed=3096951844:st=2:i=33334:sd=3:ss=included:sgt=32_2874 on theBenchmark for (2874ds/33334Mi)
% 71.23/16.44 % (742206)------------------------------
% 71.23/16.44 % (742206)------------------------------
% 71.23/16.44 % (742212)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=953611862:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2874 on theBenchmark for (2874ds/1008Mi)
% 71.23/16.44 % (742212)Refutation not found, incomplete strategy
% 71.23/16.44 % (742212)------------------------------
% 71.23/16.44 % (742212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/16.44 % (742212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/16.44 % (742212)CaDiCaL version: 2.1.3
% 71.23/16.44 % (742212)Termination reason: Refutation not found, incomplete strategy
% 71.23/16.44 % (742212)Time elapsed: 0.001 s
% 71.23/16.44 % (742212)Peak memory usage: 88 MB
% 71.23/16.44 % (742212)Instructions burned: 1 (million)
% 71.23/16.44 % (742215)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=3706891254:i=8327:s2at=5:bd=preordered_2873 on theBenchmark for (2873ds/8327Mi)
% 71.23/16.44 % (742212)------------------------------
% 71.23/16.44 % (742212)------------------------------
% 71.23/16.44 % (742195)Instruction limit reached!
% 71.23/16.44 % (742195)------------------------------
% 71.23/16.44 % (742195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/16.44 % (742195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/16.44 % (742195)CaDiCaL version: 2.1.3
% 71.23/16.44 % (742195)Termination reason: Instruction limit
% 71.23/16.44 % (742195)Termination phase: Saturation
% 71.23/16.44 % (742195)Time elapsed: 2.027 s
% 71.23/16.44 % (742195)Peak memory usage: 149 MB
% 71.23/16.44 % (742195)Instructions burned: 3223 (million)
% 71.23/16.44 % (742208)Refutation not found, incomplete strategy
% 71.23/16.44 % (742208)------------------------------
% 71.23/16.44 % (742208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/16.44 % (742208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/16.44 % (742208)CaDiCaL version: 2.1.3
% 71.23/16.44 % (742208)Termination reason: Refutation not found, incomplete strategy
% 71.23/16.44 % (742208)Time elapsed: 0.598 s
% 71.23/16.44 % (742208)Peak memory usage: 128 MB
% 71.23/16.44 % (742208)Instructions burned: 896 (million)
% 71.23/16.44 % (742217)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=1789782565:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2870 on theBenchmark for (2870ds/1083Mi)
% 71.23/16.44 % (742218)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=547410210:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2870 on theBenchmark for (2870ds/1084Mi)
% 71.23/16.44 % (742218)Refutation not found, incomplete strategy
% 71.23/16.44 % (742218)------------------------------
% 71.23/16.44 % (742218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/16.44 % (742218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/16.44 % (742218)CaDiCaL version: 2.1.3
% 71.23/16.44 % (742218)Termination reason: Refutation not found, incomplete strategy
% 71.23/16.44 % (742218)Time elapsed: 0.001 s
% 71.23/16.44 % (742218)Peak memory usage: 87 MB
% 71.23/16.44 % (742208)------------------------------
% 71.23/16.44 % (742208)------------------------------
% 71.23/16.44 % (742218)------------------------------
% 71.23/16.44 % (742218)------------------------------
% 71.23/16.44 % (742221)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=2026483960:i=6995:s2at=5:gtg=all_2867 on theBenchmark for (2867ds/6995Mi)
% 71.23/16.44 % (742217)Instruction limit reached!
% 71.23/16.44 % (742217)------------------------------
% 71.23/16.44 % (742217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/16.44 % (742217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/16.44 % (742217)CaDiCaL version: 2.1.3
% 71.23/16.44 % (742217)Termination reason: Instruction limit
% 71.23/16.44 % (742217)Termination phase: Saturation
% 71.23/16.44 % (742217)Time elapsed: 0.404 s
% 71.23/16.44 % (742217)Peak memory usage: 92 MB
% 71.23/16.44 % (742217)Instructions burned: 1086 (million)
% 71.23/16.44 % (742222)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=1930239692:st=2:i=6225:sd=15:ss=axioms_2866 on theBenchmark for (2866ds/6225Mi)
% 71.23/16.44 % (742222)Refutation not found, incomplete strategy
% 71.23/16.44 % (742222)------------------------------
% 71.23/16.44 % (742222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/16.44 % (742222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/16.44 % (742222)CaDiCaL version: 2.1.3
% 71.23/16.44 % (742222)Termination reason: Refutation not found, incomplete strategy
% 71.23/16.44 % (742222)Time elapsed: 0.001 s
% 71.23/16.44 % (742222)Peak memory usage: 87 MB
% 71.23/16.44 % (742224)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=2236815635:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2865 on theBenchmark for (2865ds/3372Mi)
% 71.23/16.44 % (742222)------------------------------
% 71.23/16.44 % (742222)------------------------------
% 71.23/16.44 % (742227)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=2663804950:st=2.3:i=26457:sd=10:ss=included:sgt=8_2862 on theBenchmark for (2862ds/26457Mi)
% 71.23/16.44 [W927 16:01:11.778068047 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 [W927 16:01:11.778104838 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 [W927 16:01:11.778145138 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 [W927 16:01:11.778158968 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 [W927 16:01:11.778187579 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 [W927 16:01:11.778200002 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 [W927 16:01:11.778226749 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 [W927 16:01:11.778239032 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 [W927 16:01:11.778265326 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 [W927 16:01:11.778276443 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 [W927 16:01:11.778316070 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 [W927 16:01:11.778327700 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 71.23/16.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.23/16.44 % (742224)Refutation not found, incomplete strategy
% 71.23/16.44 % (742224)------------------------------
% 71.23/16.44 % (742224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/16.44 % (742224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/16.44 % (742224)CaDiCaL version: 2.1.3
% 71.23/16.44 % (742224)Termination reason: Refutation not found, incomplete strategy
% 71.23/16.44 % (742224)Time elapsed: 0.552 s
% 71.23/16.44 % (742224)Peak memory usage: 126 MB
% 71.23/16.44 % (742224)Instructions burned: 823 (million)
% 71.23/16.44 % (742224)------------------------------
% 71.23/16.44 % (742224)------------------------------
% 71.23/16.44 % (742227)Refutation not found, incomplete strategy
% 71.23/16.44 % (742227)------------------------------
% 71.23/16.44 % (742227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/16.44 % (742227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/16.44 % (742227)CaDiCaL version: 2.1.3
% 71.23/16.44 % (742227)Termination reason: Refutation not found, incomplete strategy
% 71.23/16.44 % (742227)Time elapsed: 0.588 s
% 71.23/16.44 % (742227)Peak memory usage: 128 MB
% 71.23/16.44 % (742227)Instructions burned: 886 (million)
% 71.23/16.44 % (742229)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=1146996426:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2856 on theBenchmark for (2856ds/13494Mi)
% 71.23/16.44 % (742227)------------------------------
% 71.23/16.44 % (742227)------------------------------
% 71.23/16.44 % (742231)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=69713176:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2852 on theBenchmark for (2852ds/2503Mi)
% 71.23/16.44 % (742215)First to succeed.
% 71.23/16.44 % (742215)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-742090"
% 71.23/16.44 % (742215)Refutation found. Thanks to Tanya!
% 71.23/16.44 % SZS status Theorem for theBenchmark
% 71.23/16.44 % SZS output start Proof for theBenchmark
% See solution above
% 109.99/16.64 % (742215)------------------------------
% 109.99/16.64 % (742215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.99/16.64 % (742215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.99/16.64 % (742215)CaDiCaL version: 2.1.3
% 109.99/16.64 % (742215)Termination reason: Refutation
% 109.99/16.64 % (742215)Time elapsed: 2.463 s
% 109.99/16.64 % (742215)Peak memory usage: 152 MB
% 109.99/16.64 % (742215)Instructions burned: 3831 (million)
% 109.99/16.64 % (742215)------------------------------
% 109.99/16.64 % (742215)------------------------------
% 109.99/16.64 % (742090)Success in time 15.567 s
% 109.99/16.64 % Vampire exiting
%------------------------------------------------------------------------------