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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL564+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 11:53:04 AM UTC 2026

% Result   : Theorem 76.09s 17.75s
% Output   : Refutation 120.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  156 (  81 unt;   0 def)
%            Number of atoms       :  261 (  42 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  180 (  75   ~;  70   |;   4   &)
%                                         (  10 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   18 (  16 usr;  16 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :  218 ( 216   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( op_or
   => ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_or) ).

fof(f3,axiom,
    ( op_implies_and
   => ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_and) ).

fof(f7,axiom,
    ( modus_ponens_strict_implies
  <=> ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(strict_implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens_strict_implies) ).

fof(f8,axiom,
    ( adjunction
  <=> ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(X1) )
       => is_a_theorem(and(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',adjunction) ).

fof(f9,axiom,
    ( substitution_strict_equiv
  <=> ! [X0,X1] :
        ( is_a_theorem(strict_equiv(X0,X1))
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution_strict_equiv) ).

fof(f10,axiom,
    ( axiom_K
  <=> ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_K) ).

fof(f17,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/sandbox/benchmark/theBenchmark.p',axiom_s3) ).

fof(f19,axiom,
    ( axiom_m1
  <=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m1) ).

fof(f20,axiom,
    ( axiom_m2
  <=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m2) ).

fof(f22,axiom,
    ( axiom_m4
  <=> ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m4) ).

fof(f23,axiom,
    ( axiom_m5
  <=> ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m5) ).

fof(f24,axiom,
    ( axiom_m6
  <=> ! [X0] : is_a_theorem(strict_implies(X0,possibly(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m6) ).

fof(f29,axiom,
    ( op_possibly
   => ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_possibly) ).

fof(f31,axiom,
    ( op_strict_implies
   => ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_strict_implies) ).

fof(f32,axiom,
    ( op_strict_equiv
   => ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_strict_equiv) ).

fof(f33,axiom,
    op_possibly,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_possibly) ).

fof(f36,axiom,
    op_strict_implies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).

fof(f38,axiom,
    op_strict_equiv,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_equiv) ).

fof(f39,axiom,
    modus_ponens_strict_implies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_modus_ponens_strict_implies) ).

fof(f40,axiom,
    substitution_strict_equiv,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_substitution_strict_equiv) ).

fof(f41,axiom,
    adjunction,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_adjunction) ).

fof(f42,axiom,
    axiom_m1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m1) ).

fof(f43,axiom,
    axiom_m2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m2) ).

fof(f45,axiom,
    axiom_m4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m4) ).

fof(f46,axiom,
    axiom_m5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m5) ).

fof(f47,axiom,
    axiom_m6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_m6s3m9b_axiom_m6) ).

fof(f48,axiom,
    axiom_s3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_m6s3m9b_axiom_s3) ).

fof(f51,axiom,
    op_or,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_or) ).

fof(f52,axiom,
    op_implies_and,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).

fof(f55,conjecture,
    axiom_K,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',km5_axiom_K) ).

fof(f56,negated_conjecture,
    ~ axiom_K,
    inference(negated_conjecture,[status(cth)],[f55]) ).

fof(f57,plain,
    ~ axiom_K,
    inference(flattening,[],[f56]) ).

fof(f59,plain,
    ( axiom_m6
   => ! [X0] : is_a_theorem(strict_implies(X0,possibly(X0))) ),
    inference(unused_predicate_definition_removal,[],[f24]) ).

fof(f60,plain,
    ( axiom_m5
   => ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))) ),
    inference(unused_predicate_definition_removal,[],[f23]) ).

fof(f61,plain,
    ( axiom_m4
   => ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) ),
    inference(unused_predicate_definition_removal,[],[f22]) ).

fof(f63,plain,
    ( axiom_m2
   => ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) ),
    inference(unused_predicate_definition_removal,[],[f20]) ).

fof(f64,plain,
    ( axiom_m1
   => ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f19]) ).

fof(f65,plain,
    ( axiom_s3
   => ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))) ),
    inference(unused_predicate_definition_removal,[],[f17]) ).

fof(f66,plain,
    ( ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))
   => axiom_K ),
    inference(unused_predicate_definition_removal,[],[f10]) ).

fof(f67,plain,
    ( substitution_strict_equiv
   => ! [X0,X1] :
        ( is_a_theorem(strict_equiv(X0,X1))
       => X0 = X1 ) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f68,plain,
    ( adjunction
   => ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(X1) )
       => is_a_theorem(and(X0,X1)) ) ),
    inference(unused_predicate_definition_removal,[],[f8]) ).

fof(f69,plain,
    ( modus_ponens_strict_implies
   => ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(strict_implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f76,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ op_or ),
    inference(ennf_transformation,[],[f1]) ).

fof(f77,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ op_implies_and ),
    inference(ennf_transformation,[],[f3]) ).

fof(f79,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(strict_implies(X0,X1)) )
    | ~ modus_ponens_strict_implies ),
    inference(ennf_transformation,[],[f69]) ).

fof(f80,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(strict_implies(X0,X1)) )
    | ~ modus_ponens_strict_implies ),
    inference(flattening,[],[f79]) ).

fof(f81,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(and(X0,X1))
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(X1) )
    | ~ adjunction ),
    inference(ennf_transformation,[],[f68]) ).

fof(f82,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(and(X0,X1))
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(X1) )
    | ~ adjunction ),
    inference(flattening,[],[f81]) ).

fof(f83,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | ~ is_a_theorem(strict_equiv(X0,X1)) )
    | ~ substitution_strict_equiv ),
    inference(ennf_transformation,[],[f67]) ).

fof(f84,plain,
    ( axiom_K
    | ? [X0,X1] : ~ is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f85,plain,
    ( ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0)))))
    | ~ axiom_s3 ),
    inference(ennf_transformation,[],[f65]) ).

fof(f86,plain,
    ( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
    | ~ axiom_m1 ),
    inference(ennf_transformation,[],[f64]) ).

fof(f87,plain,
    ( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0))
    | ~ axiom_m2 ),
    inference(ennf_transformation,[],[f63]) ).

fof(f89,plain,
    ( ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0)))
    | ~ axiom_m4 ),
    inference(ennf_transformation,[],[f61]) ).

fof(f90,plain,
    ( ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))
    | ~ axiom_m5 ),
    inference(ennf_transformation,[],[f60]) ).

fof(f91,plain,
    ( ! [X0] : is_a_theorem(strict_implies(X0,possibly(X0)))
    | ~ axiom_m6 ),
    inference(ennf_transformation,[],[f59]) ).

fof(f93,plain,
    ( ! [X0] : possibly(X0) = not(necessarily(not(X0)))
    | ~ op_possibly ),
    inference(ennf_transformation,[],[f29]) ).

fof(f94,plain,
    ( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
    | ~ op_strict_implies ),
    inference(ennf_transformation,[],[f31]) ).

fof(f95,plain,
    ( ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))
    | ~ op_strict_equiv ),
    inference(ennf_transformation,[],[f32]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ~ op_or
      | or(X0,X1) = not(and(not(X0),not(X1))) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ op_implies_and
      | implies(X0,X1) = not(and(X0,not(X1))) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ modus_ponens_strict_implies
      | ~ is_a_theorem(strict_implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ adjunction
      | ~ is_a_theorem(X1)
      | ~ is_a_theorem(X0)
      | is_a_theorem(and(X0,X1)) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ substitution_strict_equiv
      | ~ is_a_theorem(strict_equiv(X0,X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f102,plain,
    ( ~ is_a_theorem(implies(necessarily(implies(sK0,sK1)),implies(necessarily(sK0),necessarily(sK1))))
    | axiom_K ),
    inference(cnf_transformation,[],[f84]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ axiom_s3
      | is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ axiom_m1
      | is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ axiom_m2
      | is_a_theorem(strict_implies(and(X0,X1),X0)) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ axiom_m4
      | is_a_theorem(strict_implies(X0,and(X0,X0))) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( ~ axiom_m5
      | is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ axiom_m6
      | is_a_theorem(strict_implies(X0,possibly(X0))) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ op_possibly
      | possibly(X0) = not(necessarily(not(X0))) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ op_strict_implies
      | strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ op_strict_equiv
      | strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f114,plain,
    op_possibly,
    inference(cnf_transformation,[],[f33]) ).

fof(f116,plain,
    op_strict_implies,
    inference(cnf_transformation,[],[f36]) ).

fof(f118,plain,
    op_strict_equiv,
    inference(cnf_transformation,[],[f38]) ).

fof(f119,plain,
    modus_ponens_strict_implies,
    inference(cnf_transformation,[],[f39]) ).

fof(f120,plain,
    substitution_strict_equiv,
    inference(cnf_transformation,[],[f40]) ).

fof(f121,plain,
    adjunction,
    inference(cnf_transformation,[],[f41]) ).

fof(f122,plain,
    axiom_m1,
    inference(cnf_transformation,[],[f42]) ).

fof(f123,plain,
    axiom_m2,
    inference(cnf_transformation,[],[f43]) ).

fof(f125,plain,
    axiom_m4,
    inference(cnf_transformation,[],[f45]) ).

fof(f126,plain,
    axiom_m5,
    inference(cnf_transformation,[],[f46]) ).

fof(f127,plain,
    axiom_m6,
    inference(cnf_transformation,[],[f47]) ).

fof(f128,plain,
    axiom_s3,
    inference(cnf_transformation,[],[f48]) ).

fof(f130,plain,
    op_or,
    inference(cnf_transformation,[],[f51]) ).

fof(f131,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f52]) ).

fof(f133,plain,
    ~ axiom_K,
    inference(cnf_transformation,[],[f57]) ).

fof(f137,plain,
    ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)),
    inference(forward_subsumption_resolution,[],[f113,f118]) ).

fof(f138,plain,
    ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)),
    inference(forward_subsumption_resolution,[],[f112,f116]) ).

fof(f139,plain,
    ! [X0] : possibly(X0) = not(necessarily(not(X0))),
    inference(forward_subsumption_resolution,[],[f111,f114]) ).

fof(f141,plain,
    ! [X0] : is_a_theorem(strict_implies(X0,possibly(X0))),
    inference(forward_subsumption_resolution,[],[f109,f127]) ).

fof(f142,plain,
    ! [X2,X0,X1] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))),
    inference(forward_subsumption_resolution,[],[f108,f126]) ).

fof(f143,plain,
    ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))),
    inference(forward_subsumption_resolution,[],[f107,f125]) ).

fof(f145,plain,
    ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)),
    inference(forward_subsumption_resolution,[],[f105,f123]) ).

fof(f146,plain,
    ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))),
    inference(forward_subsumption_resolution,[],[f104,f122]) ).

fof(f147,plain,
    ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))),
    inference(forward_subsumption_resolution,[],[f103,f128]) ).

fof(f148,plain,
    ~ is_a_theorem(implies(necessarily(implies(sK0,sK1)),implies(necessarily(sK0),necessarily(sK1)))),
    inference(forward_subsumption_resolution,[],[f102,f133]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(strict_equiv(X0,X1))
      | X0 = X1 ),
    inference(forward_subsumption_resolution,[],[f101,f120]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( is_a_theorem(and(X0,X1))
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(X1) ),
    inference(forward_subsumption_resolution,[],[f100,f121]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(strict_implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(forward_subsumption_resolution,[],[f99,f119]) ).

fof(f153,plain,
    ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
    inference(forward_subsumption_resolution,[],[f97,f131]) ).

fof(f154,plain,
    ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
    inference(forward_subsumption_resolution,[],[f96,f130]) ).

fof(f155,plain,
    ~ is_a_theorem(implies(strict_implies(sK0,sK1),implies(necessarily(sK0),necessarily(sK1)))),
    inference(forward_demodulation,[],[f148,f138]) ).

fof(f156,plain,
    ! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
    inference(forward_demodulation,[],[f154,f153]) ).

fof(f157,plain,
    ! [X0,X1] : strict_implies(not(X0),X1) = necessarily(or(X0,X1)),
    inference(superposition,[],[f138,f156]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(strict_implies(X1,X0))
      | ~ is_a_theorem(strict_implies(X0,X1))
      | is_a_theorem(strict_equiv(X0,X1)) ),
    inference(superposition,[],[f150,f137]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ is_a_theorem(strict_implies(and(X0,X0),X0))
      | is_a_theorem(strict_equiv(and(X0,X0),X0)) ),
    inference(resolution,[],[f143,f166]) ).

fof(f171,plain,
    ! [X0] : is_a_theorem(strict_equiv(and(X0,X0),X0)),
    inference(forward_subsumption_resolution,[],[f168,f145]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
      | is_a_theorem(strict_equiv(and(X0,X1),and(X1,X0))) ),
    inference(resolution,[],[f146,f166]) ).

fof(f178,plain,
    ! [X0,X1] : is_a_theorem(strict_equiv(and(X0,X1),and(X1,X0))),
    inference(forward_subsumption_resolution,[],[f172,f146]) ).

fof(f208,plain,
    ! [X0,X1] : and(X0,X1) = and(X1,X0),
    inference(resolution,[],[f149,f178]) ).

fof(f229,plain,
    ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X0,X1))),
    inference(superposition,[],[f146,f208]) ).

fof(f235,plain,
    ! [X0,X1] : implies(X1,X0) = not(and(not(X0),X1)),
    inference(superposition,[],[f153,f208]) ).

fof(f250,plain,
    ! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
    inference(superposition,[],[f153,f235]) ).

fof(f259,plain,
    ! [X0,X1] : implies(not(X0),X1) = or(X1,X0),
    inference(forward_demodulation,[],[f250,f156]) ).

fof(f267,plain,
    ! [X0,X1] : necessarily(or(X0,X1)) = strict_implies(not(X1),X0),
    inference(superposition,[],[f138,f259]) ).

fof(f271,plain,
    ! [X0,X1] : strict_implies(not(X0),X1) = strict_implies(not(X1),X0),
    inference(superposition,[],[f157,f267]) ).

fof(f288,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(strict_implies(not(X0),X1))
      | ~ is_a_theorem(strict_implies(X0,not(X1)))
      | is_a_theorem(strict_equiv(X0,not(X1))) ),
    inference(superposition,[],[f166,f271]) ).

fof(f452,plain,
    ! [X0] : and(X0,X0) = X0,
    inference(resolution,[],[f171,f149]) ).

fof(f469,plain,
    ! [X0] : is_a_theorem(strict_implies(X0,X0)),
    inference(superposition,[],[f229,f452]) ).

fof(f499,plain,
    ! [X0] :
      ( ~ is_a_theorem(strict_implies(X0,not(not(X0))))
      | is_a_theorem(strict_equiv(X0,not(not(X0)))) ),
    inference(resolution,[],[f469,f288]) ).

fof(f550,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(and(strict_implies(X0,X1),strict_implies(X1,X2)))
      | is_a_theorem(strict_implies(X0,X2)) ),
    inference(resolution,[],[f142,f151]) ).

fof(f565,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(strict_implies(X2,X1))
      | ~ is_a_theorem(strict_implies(X0,X2))
      | is_a_theorem(strict_implies(X0,X1)) ),
    inference(resolution,[],[f550,f150]) ).

fof(f587,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(strict_implies(not(X0),X1))
      | ~ is_a_theorem(strict_implies(X2,not(X1)))
      | is_a_theorem(strict_implies(X2,X0)) ),
    inference(superposition,[],[f565,f271]) ).

fof(f592,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(strict_implies(X0,not(not(X1))))
      | is_a_theorem(strict_implies(X0,X1)) ),
    inference(resolution,[],[f587,f469]) ).

fof(f609,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(strict_implies(not(not(not(X0))),X1))
      | is_a_theorem(strict_implies(not(X1),X0)) ),
    inference(superposition,[],[f592,f271]) ).

fof(f615,plain,
    ! [X0] : is_a_theorem(strict_implies(not(not(not(not(X0)))),X0)),
    inference(resolution,[],[f609,f469]) ).

fof(f626,plain,
    ! [X0] : is_a_theorem(strict_implies(not(X0),not(not(not(X0))))),
    inference(forward_demodulation,[],[f615,f271]) ).

fof(f649,plain,
    ! [X0] :
      ( ~ is_a_theorem(strict_implies(not(not(not(X0))),not(X0)))
      | is_a_theorem(strict_equiv(not(not(not(X0))),not(X0))) ),
    inference(resolution,[],[f626,f166]) ).

fof(f654,plain,
    ! [X0] :
      ( ~ is_a_theorem(strict_implies(not(not(X0)),not(not(X0))))
      | is_a_theorem(strict_equiv(not(not(not(X0))),not(X0))) ),
    inference(forward_demodulation,[],[f649,f271]) ).

fof(f656,plain,
    ! [X0] : is_a_theorem(strict_equiv(not(not(not(X0))),not(X0))),
    inference(forward_subsumption_resolution,[],[f654,f469]) ).

fof(f657,plain,
    ! [X0] : not(X0) = not(not(not(X0))),
    inference(resolution,[],[f656,f149]) ).

fof(f681,plain,
    ! [X0,X1] : not(and(not(X0),X1)) = implies(X1,not(not(X0))),
    inference(superposition,[],[f235,f657]) ).

fof(f703,plain,
    ! [X0,X1] : implies(X1,X0) = implies(X1,not(not(X0))),
    inference(forward_demodulation,[],[f681,f235]) ).

fof(f834,plain,
    ! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(X0,not(not(X1))),
    inference(superposition,[],[f138,f703]) ).

fof(f845,plain,
    ! [X0,X1] : strict_implies(X0,X1) = strict_implies(X0,not(not(X1))),
    inference(forward_demodulation,[],[f834,f138]) ).

fof(f860,plain,
    ! [X0] :
      ( ~ is_a_theorem(strict_implies(X0,X0))
      | is_a_theorem(strict_equiv(X0,not(not(X0)))) ),
    inference(superposition,[],[f499,f845]) ).

fof(f898,plain,
    ! [X0] : is_a_theorem(strict_equiv(X0,not(not(X0)))),
    inference(forward_subsumption_resolution,[],[f860,f469]) ).

fof(f907,plain,
    ! [X0] : not(not(X0)) = X0,
    inference(resolution,[],[f898,f149]) ).

fof(f935,plain,
    ! [X0] : possibly(not(X0)) = not(necessarily(X0)),
    inference(superposition,[],[f139,f907]) ).

fof(f947,plain,
    ! [X0,X1] : strict_implies(X0,X1) = strict_implies(not(X1),not(X0)),
    inference(superposition,[],[f271,f907]) ).

fof(f990,plain,
    ! [X0] : is_a_theorem(strict_implies(not(X0),not(necessarily(X0)))),
    inference(superposition,[],[f141,f935]) ).

fof(f991,plain,
    ! [X0] : is_a_theorem(strict_implies(necessarily(X0),X0)),
    inference(forward_demodulation,[],[f990,f947]) ).

fof(f1008,plain,
    ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),implies(X0,X1))),
    inference(superposition,[],[f991,f138]) ).

fof(f1086,plain,
    ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(not(X0))),not(possibly(not(X1)))))),
    inference(superposition,[],[f147,f947]) ).

fof(f1092,plain,
    ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(not(X1)),possibly(not(X0))))),
    inference(forward_demodulation,[],[f1086,f947]) ).

fof(f1107,plain,
    ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(not(X1)),not(necessarily(X0))))),
    inference(forward_demodulation,[],[f1092,f935]) ).

fof(f1114,plain,
    ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(necessarily(X1)),not(necessarily(X0))))),
    inference(forward_demodulation,[],[f1107,f935]) ).

fof(f1116,plain,
    ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(necessarily(X0),necessarily(X1)))),
    inference(forward_demodulation,[],[f1114,f947]) ).

fof(f1493,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(strict_implies(X0,strict_implies(X1,X2)))
      | is_a_theorem(strict_implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f1008,f565]) ).

fof(f1495,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(strict_implies(X0,X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1008,f151]) ).

fof(f7413,plain,
    ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),implies(necessarily(X0),necessarily(X1)))),
    inference(resolution,[],[f1493,f1116]) ).

fof(f7463,plain,
    ! [X0,X1] : is_a_theorem(implies(strict_implies(X0,X1),implies(necessarily(X0),necessarily(X1)))),
    inference(resolution,[],[f7413,f1495]) ).

fof(f24606,plain,
    $false,
    inference(resolution,[],[f7463,f155]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL564+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n013.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 16:01:52 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.24/2.39  % (381220)Detected formulas, will run a generic FOF schedule.
% 10.24/2.39  % (381226)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=3756207076:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.24/2.39  % (381227)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=128269102:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.24/2.39  % (381225)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=730978911:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.24/2.39  % (381228)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=929420691:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.24/2.39  % (381229)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3501537008:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.24/2.39  % (381231)dis-21_1_sil=8000:lcm=predicate:random_seed=1384271997:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.24/2.39  % (381230)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2034822077:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.24/2.39  % (381229)Refutation not found, incomplete strategy
% 10.24/2.39  % (381229)------------------------------
% 10.24/2.39  % (381229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.39  % (381228)Refutation not found, incomplete strategy
% 10.24/2.39  % (381228)------------------------------
% 10.24/2.39  % (381228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.39  % (381229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.39  % (381228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.39  % (381229)CaDiCaL version: 2.1.3
% 10.24/2.39  % (381229)Termination reason: Refutation not found, incomplete strategy
% 10.24/2.39  % (381229)Time elapsed: 0.001 s
% 10.24/2.39  % (381229)Peak memory usage: 86 MB
% 10.24/2.39  % (381228)CaDiCaL version: 2.1.3
% 10.24/2.39  % (381228)Termination reason: Refutation not found, incomplete strategy
% 10.24/2.39  % (381228)Time elapsed: 0.001 s
% 10.24/2.39  % (381228)Peak memory usage: 87 MB
% 10.24/2.39  % (381231)Refutation not found, incomplete strategy
% 10.24/2.39  % (381231)------------------------------
% 10.24/2.39  % (381231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.39  % (381231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.39  % (381231)CaDiCaL version: 2.1.3
% 10.24/2.39  % (381231)Termination reason: Refutation not found, incomplete strategy
% 10.24/2.39  % (381231)Time elapsed: 0.002 s
% 10.24/2.39  % (381231)Peak memory usage: 88 MB
% 10.24/2.39  % (381231)Instructions burned: 1 (million)
% 10.24/2.39  % (381230)Instruction limit reached! 
% 10.24/2.39  % (381230)------------------------------
% 10.24/2.39  % (381230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.39  % (381230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.39  % (381230)CaDiCaL version: 2.1.3
% 10.24/2.39  % (381230)Termination reason: Instruction limit
% 10.24/2.39  % (381230)Termination phase: Saturation
% 10.24/2.39  % (381230)Time elapsed: 0.090 s
% 10.24/2.39  % (381230)Peak memory usage: 90 MB
% 10.24/2.39  % (381230)Instructions burned: 140 (million)
% 10.24/2.39  % (381228)------------------------------
% 10.24/2.39  % (381228)------------------------------
% 10.24/2.39  % (381231)------------------------------
% 10.24/2.39  % (381231)------------------------------
% 10.24/2.39  % (381229)------------------------------
% 10.24/2.39  % (381229)------------------------------
% 10.24/2.39  % (381239)lrs+10_1_sil=8000:sp=occurrence:random_seed=1660798105:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.24/2.39  % (381239)Refutation not found, incomplete strategy
% 10.24/2.39  % (381239)------------------------------
% 10.24/2.39  % (381239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.39  % (381239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.39  % (381239)CaDiCaL version: 2.1.3
% 10.24/2.39  % (381239)Termination reason: Refutation not found, incomplete strategy
% 10.24/2.39  % (381239)Time elapsed: 0.001 s
% 13.38/2.90  % (381239)Peak memory usage: 87 MB
% 13.38/2.90  % (381242)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=3803818118:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.38/2.90  % (381240)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3910719049:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 13.38/2.90  % (381241)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4269372309:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.38/2.90  % (381241)Refutation not found, incomplete strategy
% 13.38/2.90  % (381241)------------------------------
% 13.38/2.90  % (381241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.90  % (381241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.90  % (381241)CaDiCaL version: 2.1.3
% 13.38/2.90  % (381240)Refutation not found, incomplete strategy
% 13.38/2.90  % (381240)------------------------------
% 13.38/2.90  % (381240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.90  % (381241)Termination reason: Refutation not found, incomplete strategy
% 13.38/2.90  % (381241)Time elapsed: 0.001 s
% 13.38/2.90  % (381241)Peak memory usage: 87 MB
% 13.38/2.90  % (381240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.90  % (381240)CaDiCaL version: 2.1.3
% 13.38/2.90  % (381240)Termination reason: Refutation not found, incomplete strategy
% 13.38/2.90  % (381240)Time elapsed: 0.001 s
% 13.38/2.90  % (381240)Peak memory usage: 87 MB
% 13.38/2.90  % (381239)------------------------------
% 13.38/2.90  % (381239)------------------------------
% 13.38/2.90  % (381242)Instruction limit reached! 
% 13.38/2.90  % (381242)------------------------------
% 13.38/2.90  % (381242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.90  % (381242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.90  % (381242)CaDiCaL version: 2.1.3
% 13.38/2.90  % (381242)Termination reason: Instruction limit
% 13.38/2.90  % (381242)Termination phase: Saturation
% 13.38/2.90  % (381242)Time elapsed: 0.096 s
% 13.38/2.90  % (381242)Peak memory usage: 92 MB
% 13.38/2.90  % (381242)Instructions burned: 250 (million)
% 13.38/2.90  % (381227)Refutation not found, incomplete strategy
% 13.38/2.90  % (381227)------------------------------
% 13.38/2.90  % (381227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.90  % (381227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.90  % (381227)CaDiCaL version: 2.1.3
% 13.38/2.90  % (381227)Termination reason: Refutation not found, incomplete strategy
% 13.38/2.90  % (381227)Time elapsed: 0.553 s
% 13.38/2.90  % (381227)Peak memory usage: 126 MB
% 13.38/2.90  % (381227)Instructions burned: 825 (million)
% 13.38/2.90  % (381247)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3947654829:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 13.38/2.90  % (381247)Refutation not found, incomplete strategy
% 13.38/2.90  % (381247)------------------------------
% 13.38/2.90  % (381247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.90  % (381247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.90  % (381247)CaDiCaL version: 2.1.3
% 13.38/2.90  % (381247)Termination reason: Refutation not found, incomplete strategy
% 13.38/2.90  % (381247)Time elapsed: 0.0000 s
% 13.38/2.90  % (381247)Peak memory usage: 87 MB
% 13.38/2.90  % (381241)------------------------------
% 13.38/2.90  % (381241)------------------------------
% 13.38/2.90  % (381240)------------------------------
% 13.38/2.90  % (381240)------------------------------
% 13.38/2.90  % (381248)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3103937870:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 13.38/2.90  % (381227)------------------------------
% 13.38/2.90  % (381227)------------------------------
% 13.38/2.90  % (381247)------------------------------
% 13.38/2.90  % (381247)------------------------------
% 13.38/2.90  % (381250)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2980760191:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 13.38/2.90  % (381252)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4087986577:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 13.38/2.90  % (381250)Refutation not found, incomplete strategy
% 13.38/2.90  % (381250)------------------------------
% 13.38/2.90  % (381250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.82/3.24  % (381250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.82/3.24  % (381250)CaDiCaL version: 2.1.3
% 16.82/3.24  % (381250)Termination reason: Refutation not found, incomplete strategy
% 16.82/3.24  % (381250)Time elapsed: 0.001 s
% 16.82/3.24  % (381250)Peak memory usage: 88 MB
% 16.82/3.24  % (381252)Instruction limit reached! 
% 16.82/3.24  % (381252)------------------------------
% 16.82/3.24  % (381252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.82/3.24  % (381252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.82/3.24  % (381252)CaDiCaL version: 2.1.3
% 16.82/3.24  % (381252)Termination reason: Instruction limit
% 16.82/3.24  % (381252)Termination phase: Saturation
% 16.82/3.24  % (381252)Time elapsed: 0.066 s
% 16.82/3.24  % (381252)Peak memory usage: 88 MB
% 16.82/3.24  % (381252)Instructions burned: 127 (million)
% 16.82/3.24  % (381254)lrs+10_1_sil=8000:sp=occurrence:random_seed=740679676:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 16.82/3.24  % (381253)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1310229234:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 16.82/3.24  % (381253)Refutation not found, incomplete strategy
% 16.82/3.24  % (381253)------------------------------
% 16.82/3.24  % (381253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.82/3.24  % (381253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.82/3.24  % (381253)CaDiCaL version: 2.1.3
% 16.82/3.24  % (381253)Termination reason: Refutation not found, incomplete strategy
% 16.82/3.24  % (381253)Time elapsed: 0.001 s
% 16.82/3.24  % (381253)Peak memory usage: 88 MB
% 16.82/3.24  % (381253)Instructions burned: 1 (million)
% 16.82/3.24  % (381257)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1755539357:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 16.82/3.24  % (381257)Refutation not found, incomplete strategy
% 16.82/3.24  % (381257)------------------------------
% 16.82/3.24  % (381257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.82/3.24  % (381257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.82/3.24  % (381257)CaDiCaL version: 2.1.3
% 16.82/3.24  % (381257)Termination reason: Refutation not found, incomplete strategy
% 16.82/3.24  % (381257)Time elapsed: 0.001 s
% 16.82/3.24  % (381257)Peak memory usage: 88 MB
% 16.82/3.24  % (381250)------------------------------
% 16.82/3.24  % (381250)------------------------------
% 16.82/3.24  % (381253)------------------------------
% 16.82/3.24  % (381253)------------------------------
% 16.82/3.24  % (381254)Instruction limit reached! 
% 16.82/3.24  % (381254)------------------------------
% 16.82/3.24  % (381254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.82/3.24  % (381254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.82/3.24  % (381254)CaDiCaL version: 2.1.3
% 16.82/3.24  % (381254)Termination reason: Instruction limit
% 16.82/3.24  % (381254)Termination phase: Saturation
% 16.82/3.24  % (381254)Time elapsed: 0.283 s
% 16.82/3.24  % (381254)Peak memory usage: 101 MB
% 16.82/3.24  % (381254)Instructions burned: 909 (million)
% 16.82/3.24  % (381261)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1037805501:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 16.82/3.24  % (381257)------------------------------
% 16.82/3.24  % (381257)------------------------------
% 16.82/3.24  % (381263)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3832221785:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 16.82/3.24  % (381263)Refutation not found, incomplete strategy
% 16.82/3.24  % (381263)------------------------------
% 16.82/3.24  % (381263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.82/3.24  % (381263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.82/3.24  % (381263)CaDiCaL version: 2.1.3
% 16.82/3.24  % (381263)Termination reason: Refutation not found, incomplete strategy
% 16.82/3.24  % (381263)Time elapsed: 0.001 s
% 16.82/3.24  % (381263)Peak memory usage: 88 MB
% 16.82/3.24  % (381262)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=940750987:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 16.82/3.24  % (381262)Refutation not found, incomplete strategy
% 16.82/3.24  % (381262)------------------------------
% 24.47/4.32  % (381262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.47/4.32  % (381262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.47/4.32  % (381262)CaDiCaL version: 2.1.3
% 24.47/4.32  % (381262)Termination reason: Refutation not found, incomplete strategy
% 24.47/4.32  % (381262)Time elapsed: 0.001 s
% 24.47/4.32  % (381262)Peak memory usage: 89 MB
% 24.47/4.32  % (381265)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1870658253:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 24.47/4.32  % (381263)------------------------------
% 24.47/4.32  % (381263)------------------------------
% 24.47/4.32  % (381262)------------------------------
% 24.47/4.32  % (381262)------------------------------
% 24.47/4.32  % (381269)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=1353202287:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 24.47/4.32  % (381269)Refutation not found, incomplete strategy
% 24.47/4.32  % (381269)------------------------------
% 24.47/4.32  % (381269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.47/4.32  % (381269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.47/4.32  % (381269)CaDiCaL version: 2.1.3
% 24.47/4.32  % (381269)Termination reason: Refutation not found, incomplete strategy
% 24.47/4.32  % (381269)Time elapsed: 0.001 s
% 24.47/4.32  % (381269)Peak memory usage: 87 MB
% 24.47/4.32  % (381270)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2513126619:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 24.47/4.32  % (381269)------------------------------
% 24.47/4.32  % (381269)------------------------------
% 24.47/4.32  % (381270)Instruction limit reached! 
% 24.47/4.32  % (381270)------------------------------
% 24.47/4.32  % (381270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.47/4.32  % (381270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.47/4.32  % (381270)CaDiCaL version: 2.1.3
% 24.47/4.32  % (381270)Termination reason: Instruction limit
% 24.47/4.32  % (381270)Termination phase: Saturation
% 24.47/4.32  % (381270)Time elapsed: 0.084 s
% 24.47/4.32  % (381270)Peak memory usage: 90 MB
% 24.47/4.32  % (381270)Instructions burned: 134 (million)
% 24.47/4.32  [W927 16:01:55.105102504 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.
% 24.47/4.32  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.47/4.32  [W927 16:01:55.105138108 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.
% 24.47/4.32  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.47/4.32  [W927 16:01:55.105176441 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.
% 24.47/4.32  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.47/4.32  [W927 16:01:55.105190001 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.
% 24.47/4.32  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.47/4.32  [W927 16:01:55.105216321 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.
% 24.47/4.32  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.47/4.32  [W927 16:01:55.105237538 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.
% 24.47/4.32  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.47/4.32  [W927 16:01:55.105268945 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.
% 45.21/7.27  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 45.21/7.27  [W927 16:01:55.105280248 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.
% 45.21/7.27  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 45.21/7.27  [W927 16:01:55.105303688 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.
% 45.21/7.27  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 45.21/7.27  [W927 16:01:55.105314688 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.
% 45.21/7.27  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 45.21/7.27  [W927 16:01:55.105338878 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.
% 45.21/7.27  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 45.21/7.27  [W927 16:01:55.105349978 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.
% 45.21/7.27  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 45.21/7.27  % (381273)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2730160878:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 45.21/7.27  % (381273)Refutation not found, incomplete strategy
% 45.21/7.27  % (381273)------------------------------
% 45.21/7.27  % (381273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.21/7.27  % (381273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.21/7.27  % (381273)CaDiCaL version: 2.1.3
% 45.21/7.27  % (381273)Termination reason: Refutation not found, incomplete strategy
% 45.21/7.27  % (381273)Time elapsed: 0.001 s
% 45.21/7.27  % (381273)Peak memory usage: 87 MB
% 45.21/7.27  % (381274)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1520804389:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 45.21/7.27  % (381274)Refutation not found, incomplete strategy
% 45.21/7.27  % (381274)------------------------------
% 45.21/7.27  % (381274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.21/7.27  % (381274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.21/7.27  % (381274)CaDiCaL version: 2.1.3
% 45.21/7.27  % (381274)Termination reason: Refutation not found, incomplete strategy
% 45.21/7.27  % (381274)Time elapsed: 0.001 s
% 45.21/7.27  % (381274)Peak memory usage: 87 MB
% 45.21/7.27  % (381265)Refutation not found, incomplete strategy
% 45.21/7.27  % (381265)------------------------------
% 45.21/7.27  % (381265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.21/7.27  % (381265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.21/7.27  % (381265)CaDiCaL version: 2.1.3
% 45.21/7.27  % (381265)Termination reason: Refutation not found, incomplete strategy
% 45.21/7.27  % (381265)Time elapsed: 0.558 s
% 45.21/7.27  % (381265)Peak memory usage: 126 MB
% 45.21/7.27  % (381265)Instructions burned: 826 (million)
% 45.21/7.27  % (381273)------------------------------
% 45.21/7.27  % (381273)------------------------------
% 45.21/7.27  % (381248)Instruction limit reached! 
% 45.21/7.27  % (381248)------------------------------
% 45.21/7.27  % (381248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.21/7.27  % (381248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.21/7.27  % (381248)CaDiCaL version: 2.1.3
% 45.21/7.27  % (381248)Termination reason: Instruction limit
% 45.21/7.27  % (381248)Termination phase: Saturation
% 45.21/7.27  % (381248)Time elapsed: 1.516 s
% 47.57/7.79  % (381248)Peak memory usage: 142 MB
% 47.57/7.79  % (381248)Instructions burned: 2351 (million)
% 47.57/7.79  % (381274)------------------------------
% 47.57/7.79  % (381274)------------------------------
% 47.57/7.79  % (381265)------------------------------
% 47.57/7.79  % (381265)------------------------------
% 47.57/7.79  % (381278)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=697120814:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 47.57/7.79  % (381277)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=1204691575:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 47.57/7.79  % (381279)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1962571038:i=14155:bd=all_2975 on theBenchmark for (2975ds/14155Mi)
% 47.57/7.79  % (381278)Instruction limit reached! 
% 47.57/7.79  % (381278)------------------------------
% 47.57/7.79  % (381278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.57/7.79  % (381278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.57/7.79  % (381278)CaDiCaL version: 2.1.3
% 47.57/7.79  % (381278)Termination reason: Instruction limit
% 47.57/7.79  % (381278)Termination phase: Saturation
% 47.57/7.79  % (381278)Time elapsed: 0.090 s
% 47.57/7.79  % (381278)Peak memory usage: 90 MB
% 47.57/7.79  % (381278)Instructions burned: 151 (million)
% 47.57/7.79  % (381280)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1224253092:i=667:av=off:fsr=off_2975 on theBenchmark for (2975ds/667Mi)
% 47.57/7.79  % (381280)Refutation not found, incomplete strategy
% 47.57/7.79  % (381280)------------------------------
% 47.57/7.79  % (381280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.57/7.79  % (381280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.57/7.79  % (381280)CaDiCaL version: 2.1.3
% 47.57/7.79  % (381280)Termination reason: Refutation not found, incomplete strategy
% 47.57/7.79  % (381280)Time elapsed: 0.001 s
% 47.57/7.79  % (381280)Peak memory usage: 88 MB
% 47.57/7.79  % (381280)Instructions burned: 1 (million)
% 47.57/7.79  % (381285)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=146128359:s2a=on:i=185:s2at=1.8:fdi=4_2973 on theBenchmark for (2973ds/185Mi)
% 47.57/7.79  % (381280)------------------------------
% 47.57/7.79  % (381280)------------------------------
% 47.57/7.79  % (381285)Instruction limit reached! 
% 47.57/7.79  % (381285)------------------------------
% 47.57/7.79  % (381285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.57/7.79  % (381285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.57/7.79  % (381285)CaDiCaL version: 2.1.3
% 47.57/7.79  % (381285)Termination reason: Instruction limit
% 47.57/7.79  % (381285)Termination phase: Saturation
% 47.57/7.79  % (381285)Time elapsed: 0.100 s
% 47.57/7.79  % (381285)Peak memory usage: 90 MB
% 47.57/7.79  % (381285)Instructions burned: 185 (million)
% 47.57/7.79  % (381287)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4200094259:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2971 on theBenchmark for (2971ds/193Mi)
% 47.57/7.79  % (381287)Refutation not found, incomplete strategy
% 47.57/7.79  % (381287)------------------------------
% 47.57/7.79  % (381287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.57/7.79  % (381287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.57/7.79  % (381287)CaDiCaL version: 2.1.3
% 47.57/7.79  % (381287)Termination reason: Refutation not found, incomplete strategy
% 47.57/7.79  % (381287)Time elapsed: 0.001 s
% 47.57/7.79  % (381287)Peak memory usage: 87 MB
% 47.57/7.79  % (381288)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1110964334:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2971 on theBenchmark for (2971ds/4850Mi)
% 47.57/7.79  % (381287)------------------------------
% 47.57/7.79  % (381287)------------------------------
% 47.57/7.79  % (381291)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=798614512:i=12111:sd=1:ss=included_2967 on theBenchmark for (2967ds/12111Mi)
% 47.57/7.79  % (381261)Instruction limit reached! 
% 47.57/7.79  % (381261)------------------------------
% 52.47/8.35  % (381261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.47/8.35  % (381261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.47/8.35  % (381261)CaDiCaL version: 2.1.3
% 52.47/8.35  % (381261)Termination reason: Instruction limit
% 52.47/8.35  % (381261)Termination phase: Saturation
% 52.47/8.35  % (381261)Time elapsed: 2.012 s
% 52.47/8.35  % (381261)Peak memory usage: 163 MB
% 52.47/8.35  % (381261)Instructions burned: 5205 (million)
% 52.47/8.35  % (381293)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=333589180:i=319:kws=precedence:fsr=off_2965 on theBenchmark for (2965ds/319Mi)
% 52.47/8.35  % (381293)Instruction limit reached! 
% 52.47/8.35  % (381293)------------------------------
% 52.47/8.35  % (381293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.47/8.35  % (381293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.47/8.35  % (381293)CaDiCaL version: 2.1.3
% 52.47/8.35  % (381293)Termination reason: Instruction limit
% 52.47/8.35  % (381293)Termination phase: Saturation
% 52.47/8.35  % (381293)Time elapsed: 0.110 s
% 52.47/8.35  % (381293)Peak memory usage: 94 MB
% 52.47/8.35  % (381293)Instructions burned: 322 (million)
% 52.47/8.35  % (381295)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1802942553:i=2064:ep=RST_2963 on theBenchmark for (2963ds/2064Mi)
% 52.47/8.35  % (381295)Refutation not found, incomplete strategy
% 52.47/8.35  % (381295)------------------------------
% 52.47/8.35  % (381295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.47/8.35  % (381295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.47/8.35  % (381295)CaDiCaL version: 2.1.3
% 52.47/8.35  % (381295)Termination reason: Refutation not found, incomplete strategy
% 52.47/8.35  % (381295)Time elapsed: 0.001 s
% 52.47/8.35  % (381295)Peak memory usage: 88 MB
% 52.47/8.35  % (381295)Instructions burned: 1 (million)
% 52.47/8.35  % (381295)------------------------------
% 52.47/8.35  % (381295)------------------------------
% 52.47/8.35  % (381297)dis-1011_128_sil=32000:random_seed=3758981924:i=3706:ep=RST:av=off_2960 on theBenchmark for (2960ds/3706Mi)
% 52.47/8.35  % (381288)Instruction limit reached! 
% 52.47/8.35  % (381288)------------------------------
% 52.47/8.35  % (381288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.47/8.35  % (381288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.47/8.35  % (381288)CaDiCaL version: 2.1.3
% 52.47/8.35  % (381288)Termination reason: Instruction limit
% 52.47/8.35  % (381288)Termination phase: Saturation
% 52.47/8.35  % (381288)Time elapsed: 2.986 s
% 52.47/8.35  % (381288)Peak memory usage: 140 MB
% 52.47/8.35  % (381288)Instructions burned: 4850 (million)
% 52.47/8.35  % (381299)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1881374126:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2939 on theBenchmark for (2939ds/757Mi)
% 52.47/8.35  % (381299)Refutation not found, incomplete strategy
% 52.47/8.35  % (381299)------------------------------
% 52.47/8.35  % (381299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.47/8.35  % (381299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.47/8.35  % (381299)CaDiCaL version: 2.1.3
% 52.47/8.35  % (381299)Termination reason: Refutation not found, incomplete strategy
% 52.47/8.35  % (381299)Time elapsed: 0.001 s
% 52.47/8.35  % (381299)Peak memory usage: 87 MB
% 52.47/8.35  % (381277)Instruction limit reached! 
% 52.47/8.35  % (381277)------------------------------
% 52.47/8.35  % (381277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.47/8.35  % (381277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.47/8.35  % (381277)CaDiCaL version: 2.1.3
% 52.47/8.35  % (381277)Termination reason: Instruction limit
% 52.47/8.35  % (381277)Termination phase: Saturation
% 52.47/8.35  % (381277)Time elapsed: 3.848 s
% 52.47/8.35  % (381277)Peak memory usage: 178 MB
% 52.47/8.35  % (381277)Instructions burned: 6060 (million)
% 52.47/8.35  % (381297)Instruction limit reached! 
% 52.47/8.35  % (381297)------------------------------
% 52.47/8.35  % (381297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.47/8.35  % (381297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.47/8.35  % (381297)CaDiCaL version: 2.1.3
% 52.47/8.35  % (381297)Termination reason: Instruction limit
% 52.47/8.35  % (381297)Termination phase: Saturation
% 52.47/8.35  % (381297)Time elapsed: 2.286 s
% 52.47/8.35  % (381297)Peak memory usage: 129 MB
% 55.16/8.77  % (381297)Instructions burned: 3706 (million)
% 55.16/8.77  % (381299)------------------------------
% 55.16/8.77  % (381299)------------------------------
% 55.16/8.77  % (381301)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1521738143:i=13913:ss=axioms:sgt=8_2936 on theBenchmark for (2936ds/13913Mi)
% 55.16/8.77  % (381302)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3767051670:i=9925:aac=none_2935 on theBenchmark for (2935ds/9925Mi)
% 55.16/8.77  % (381303)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2708852642:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2935 on theBenchmark for (2935ds/2479Mi)
% 55.16/8.77  % (381303)Refutation not found, incomplete strategy
% 55.16/8.77  % (381303)------------------------------
% 55.16/8.77  % (381303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.16/8.77  % (381303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.16/8.77  % (381303)CaDiCaL version: 2.1.3
% 55.16/8.77  % (381303)Termination reason: Refutation not found, incomplete strategy
% 55.16/8.77  % (381303)Time elapsed: 0.001 s
% 55.16/8.77  % (381303)Peak memory usage: 87 MB
% 55.16/8.77  % (381303)------------------------------
% 55.16/8.77  % (381303)------------------------------
% 55.16/8.77  [W927 16:01:59.988714917 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.
% 55.16/8.77  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 55.16/8.77  [W927 16:01:59.988759091 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.
% 55.16/8.77  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 55.16/8.77  [W927 16:01:59.988797824 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.
% 55.16/8.77  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 55.16/8.77  [W927 16:01:59.988814537 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.
% 55.16/8.77  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 55.16/8.77  [W927 16:01:59.988841494 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.
% 55.16/8.77  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 55.16/8.77  [W927 16:01:59.988853667 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.
% 55.16/8.77  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 55.16/8.77  [W927 16:01:59.988880961 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.
% 55.16/8.77  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 55.16/8.77  [W927 16:01:59.988892821 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.
% 55.16/8.77  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 55.16/8.77  [W927 16:01:59.988919664 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.
% 55.16/8.77  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 55.16/8.77  [W927 16:01:59.988931774 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.
% 83.44/12.72  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.44/12.72  [W927 16:01:59.988958368 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.
% 83.44/12.72  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.44/12.72  [W927 16:01:59.988968954 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.
% 83.44/12.72  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.44/12.72  % (381307)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=687128787:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2931 on theBenchmark for (2931ds/440Mi)
% 83.44/12.72  % (381301)Refutation not found, incomplete strategy
% 83.44/12.72  % (381301)------------------------------
% 83.44/12.72  % (381301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.44/12.72  % (381301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.44/12.72  % (381301)CaDiCaL version: 2.1.3
% 83.44/12.72  % (381301)Termination reason: Refutation not found, incomplete strategy
% 83.44/12.72  % (381301)Time elapsed: 0.546 s
% 83.44/12.72  % (381301)Peak memory usage: 126 MB
% 83.44/12.72  % (381301)Instructions burned: 825 (million)
% 83.44/12.72  % (381291)Instruction limit reached! 
% 83.44/12.72  % (381291)------------------------------
% 83.44/12.72  % (381291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.44/12.72  % (381291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.44/12.72  % (381291)CaDiCaL version: 2.1.3
% 83.44/12.72  % (381291)Termination reason: Instruction limit
% 83.44/12.72  % (381291)Termination phase: Saturation
% 83.44/12.72  % (381291)Time elapsed: 3.713 s
% 83.44/12.72  % (381291)Peak memory usage: 261 MB
% 83.44/12.72  % (381291)Instructions burned: 12114 (million)
% 83.44/12.72  % (381307)Instruction limit reached! 
% 83.44/12.72  % (381307)------------------------------
% 83.44/12.72  % (381307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.44/12.72  % (381307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.44/12.72  % (381307)CaDiCaL version: 2.1.3
% 83.44/12.72  % (381307)Termination reason: Instruction limit
% 83.44/12.72  % (381307)Termination phase: Saturation
% 83.44/12.72  % (381307)Time elapsed: 0.187 s
% 83.44/12.72  % (381307)Peak memory usage: 91 MB
% 83.44/12.72  % (381307)Instructions burned: 442 (million)
% 83.44/12.72  % (381309)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3767013316:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2928 on theBenchmark for (2928ds/11145Mi)
% 83.44/12.72  % (381301)------------------------------
% 83.44/12.72  % (381301)------------------------------
% 83.44/12.72  % (381310)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=3554279517:cts=off:i=3034:av=off:er=known:fsd=on_2927 on theBenchmark for (2927ds/3034Mi)
% 83.44/12.72  [W927 16:02:00.550956276 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.
% 83.44/12.72  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.44/12.72  [W927 16:02:00.550992863 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.
% 83.44/12.72  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.44/12.72  [W927 16:02:00.551021896 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.
% 83.44/12.72  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.44/12.72  [W927 16:02:00.551029002 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.
% 86.59/13.12  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.59/13.12  [W927 16:02:00.551042299 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.
% 86.59/13.12  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.59/13.12  [W927 16:02:00.551058869 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.
% 86.59/13.12  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.59/13.12  [W927 16:02:00.551071910 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.
% 86.59/13.12  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.59/13.12  [W927 16:02:00.551078203 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.
% 86.59/13.12  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.59/13.12  [W927 16:02:00.551090949 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.
% 86.59/13.12  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.59/13.12  [W927 16:02:00.551104090 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.
% 86.59/13.12  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.59/13.12  [W927 16:02:00.551118060 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.
% 86.59/13.12  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.59/13.12  [W927 16:02:00.551123685 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.
% 86.59/13.12  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.59/13.12  % (381312)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1144903519:st=2:s2a=on:i=524:s2at=2:ss=axioms_2926 on theBenchmark for (2926ds/524Mi)
% 86.59/13.12  % (381312)Refutation not found, incomplete strategy
% 86.59/13.12  % (381312)------------------------------
% 86.59/13.12  % (381312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.59/13.12  % (381312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.59/13.12  % (381312)CaDiCaL version: 2.1.3
% 86.59/13.12  % (381312)Termination reason: Refutation not found, incomplete strategy
% 86.59/13.12  % (381312)Time elapsed: 0.001 s
% 86.59/13.12  % (381312)Peak memory usage: 87 MB
% 86.59/13.12  % (381309)Refutation not found, incomplete strategy
% 86.59/13.12  % (381309)------------------------------
% 86.59/13.12  % (381309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.59/13.12  % (381309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.59/13.12  % (381309)CaDiCaL version: 2.1.3
% 86.59/13.12  % (381309)Termination reason: Refutation not found, incomplete strategy
% 86.59/13.12  % (381309)Time elapsed: 0.311 s
% 86.59/13.12  % (381309)Peak memory usage: 126 MB
% 86.59/13.12  % (381309)Instructions burned: 821 (million)
% 86.59/13.12  % (381312)------------------------------
% 86.59/13.12  % (381312)------------------------------
% 86.59/13.12  % (381309)------------------------------
% 86.59/13.12  % (381309)------------------------------
% 86.59/13.12  % (381315)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3598729132:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2922 on theBenchmark for (2922ds/1016Mi)
% 89.88/13.50  % (381315)Refutation not found, incomplete strategy
% 89.88/13.50  % (381315)------------------------------
% 89.88/13.50  % (381315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.88/13.50  % (381315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.88/13.50  % (381315)CaDiCaL version: 2.1.3
% 89.88/13.50  % (381315)Termination reason: Refutation not found, incomplete strategy
% 89.88/13.50  % (381315)Time elapsed: 0.001 s
% 89.88/13.50  % (381315)Peak memory usage: 87 MB
% 89.88/13.50  % (381316)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3306984546:i=14123:bd=preordered:ins=4_2922 on theBenchmark for (2922ds/14123Mi)
% 89.88/13.50  % (381315)------------------------------
% 89.88/13.50  % (381315)------------------------------
% 89.88/13.50  % (381319)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1051258589:i=5781:kws=precedence:bd=all:rawr=on_2918 on theBenchmark for (2918ds/5781Mi)
% 89.88/13.50  % (381310)Instruction limit reached! 
% 89.88/13.50  % (381310)------------------------------
% 89.88/13.50  % (381310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.88/13.50  % (381310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.88/13.50  % (381310)CaDiCaL version: 2.1.3
% 89.88/13.50  % (381310)Termination reason: Instruction limit
% 89.88/13.50  % (381310)Termination phase: Saturation
% 89.88/13.50  % (381310)Time elapsed: 1.801 s
% 89.88/13.50  % (381310)Peak memory usage: 143 MB
% 89.88/13.50  % (381310)Instructions burned: 3035 (million)
% 89.88/13.50  % (381321)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=2684249572:i=2448:gtgl=5:bd=preordered:gtg=all_2908 on theBenchmark for (2908ds/2448Mi)
% 89.88/13.50  % (381321)Instruction limit reached! 
% 89.88/13.50  % (381321)------------------------------
% 89.88/13.50  % (381321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.88/13.50  % (381321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.88/13.50  % (381321)CaDiCaL version: 2.1.3
% 89.88/13.50  % (381321)Termination reason: Instruction limit
% 89.88/13.50  % (381321)Termination phase: Saturation
% 89.88/13.50  % (381321)Time elapsed: 1.414 s
% 89.88/13.50  % (381321)Peak memory usage: 145 MB
% 89.88/13.50  % (381321)Instructions burned: 2449 (million)
% 89.88/13.50  % (381323)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=75777739:i=3223:kws=precedence:fgj=on:av=off_2892 on theBenchmark for (2892ds/3223Mi)
% 89.88/13.50  % (381279)Instruction limit reached! 
% 89.88/13.50  % (381279)------------------------------
% 89.88/13.50  % (381279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.88/13.50  % (381279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.88/13.50  % (381279)CaDiCaL version: 2.1.3
% 89.88/13.50  % (381279)Termination reason: Instruction limit
% 89.88/13.50  % (381279)Termination phase: Saturation
% 89.88/13.50  % (381279)Time elapsed: 8.548 s
% 89.88/13.50  % (381279)Peak memory usage: 202 MB
% 89.88/13.50  % (381279)Instructions burned: 14156 (million)
% 89.88/13.50  % (381325)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=88835143:st=5.6:i=2033:sd=3:ss=axioms_2888 on theBenchmark for (2888ds/2033Mi)
% 89.88/13.50  % (381319)Instruction limit reached! 
% 89.88/13.50  % (381319)------------------------------
% 89.88/13.50  % (381319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.88/13.50  % (381319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.88/13.50  % (381319)CaDiCaL version: 2.1.3
% 89.88/13.50  % (381319)Termination reason: Instruction limit
% 89.88/13.50  % (381319)Termination phase: Saturation
% 89.88/13.50  % (381319)Time elapsed: 3.373 s
% 89.88/13.50  % (381319)Peak memory usage: 141 MB
% 89.88/13.50  % (381319)Instructions burned: 5782 (million)
% 89.88/13.50  % (381325)Refutation not found, incomplete strategy
% 89.88/13.50  % (381325)------------------------------
% 89.88/13.50  % (381325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.88/13.50  % (381325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.88/13.50  % (381325)CaDiCaL version: 2.1.3
% 89.88/13.50  % (381325)Termination reason: Refutation not found, incomplete strategy
% 94.36/14.15  % (381325)Time elapsed: 0.544 s
% 94.36/14.15  % (381325)Peak memory usage: 127 MB
% 94.36/14.15  % (381325)Instructions burned: 824 (million)
% 94.36/14.15  % (381327)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1370154335:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2882 on theBenchmark for (2882ds/2055Mi)
% 94.36/14.15  % (381325)------------------------------
% 94.36/14.15  % (381325)------------------------------
% 94.36/14.15  [W927 16:02:05.327699598 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.36/14.15  [W927 16:02:05.327731338 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.36/14.15  [W927 16:02:05.327770231 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.36/14.15  [W927 16:02:05.327782118 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.36/14.15  [W927 16:02:05.327808812 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.36/14.15  [W927 16:02:05.327820528 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.36/14.15  [W927 16:02:05.327848145 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.36/14.15  [W927 16:02:05.327859778 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.36/14.15  [W927 16:02:05.327885318 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.36/14.15  [W927 16:02:05.327896795 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.36/14.15  [W927 16:02:05.327922012 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 94.36/14.15  [W927 16:02:05.327933718 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.
% 94.36/14.15  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.33/15.42  % (381329)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=777340633:i=21611:sd=3:ss=axioms_2879 on theBenchmark for (2879ds/21611Mi)
% 103.33/15.42  % (381327)Refutation not found, incomplete strategy
% 103.33/15.42  % (381327)------------------------------
% 103.33/15.42  % (381327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.33/15.42  % (381327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.33/15.42  % (381327)CaDiCaL version: 2.1.3
% 103.33/15.42  % (381327)Termination reason: Refutation not found, incomplete strategy
% 103.33/15.42  % (381327)Time elapsed: 0.549 s
% 103.33/15.42  % (381327)Peak memory usage: 126 MB
% 103.33/15.42  % (381327)Instructions burned: 822 (million)
% 103.33/15.42  % (381316)Instruction limit reached! 
% 103.33/15.42  % (381316)------------------------------
% 103.33/15.42  % (381316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.33/15.42  % (381316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.33/15.42  % (381316)CaDiCaL version: 2.1.3
% 103.33/15.42  % (381316)Termination reason: Instruction limit
% 103.33/15.42  % (381316)Termination phase: Saturation
% 103.33/15.42  % (381316)Time elapsed: 4.671 s
% 103.33/15.42  % (381316)Peak memory usage: 252 MB
% 103.33/15.42  % (381316)Instructions burned: 14127 (million)
% 103.33/15.42  [W927 16:02:05.706180810 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.
% 103.33/15.42  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.33/15.42  [W927 16:02:05.706215307 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.
% 103.33/15.42  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.33/15.42  [W927 16:02:05.706252594 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.
% 103.33/15.42  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.33/15.42  [W927 16:02:05.706265984 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.
% 103.33/15.42  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.33/15.42  [W927 16:02:05.706292427 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.
% 103.33/15.42  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.33/15.42  [W927 16:02:05.706304207 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.
% 103.33/15.42  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.33/15.42  [W927 16:02:05.706329460 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.
% 103.33/15.42  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.33/15.42  [W927 16:02:05.706340940 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.
% 103.33/15.42  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.33/15.42  [W927 16:02:05.706366050 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.
% 103.33/15.42  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.33/15.42  [W927 16:02:05.706377521 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.
% 105.67/15.96  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 105.67/15.96  [W927 16:02:05.706402261 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.
% 105.67/15.96  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 105.67/15.96  [W927 16:02:05.706412571 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.
% 105.67/15.96  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 105.67/15.96  % (381327)------------------------------
% 105.67/15.96  % (381327)------------------------------
% 105.67/15.96  % (381331)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=583276445:i=4835:sd=13:ss=axioms:sgt=23_2873 on theBenchmark for (2873ds/4835Mi)
% 105.67/15.96  % (381329)Refutation not found, incomplete strategy
% 105.67/15.96  % (381329)------------------------------
% 105.67/15.96  % (381329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.67/15.96  % (381329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.67/15.96  % (381329)CaDiCaL version: 2.1.3
% 105.67/15.96  % (381329)Termination reason: Refutation not found, incomplete strategy
% 105.67/15.96  % (381329)Time elapsed: 0.548 s
% 105.67/15.96  % (381329)Peak memory usage: 126 MB
% 105.67/15.96  % (381329)Instructions burned: 826 (million)
% 105.67/15.96  % (381332)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=824141348:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2873 on theBenchmark for (2873ds/797Mi)
% 105.67/15.96  % (381332)Refutation not found, incomplete strategy
% 105.67/15.96  % (381332)------------------------------
% 105.67/15.96  % (381332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.67/15.96  % (381332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.67/15.96  % (381332)CaDiCaL version: 2.1.3
% 105.67/15.96  % (381332)Termination reason: Refutation not found, incomplete strategy
% 105.67/15.96  % (381332)Time elapsed: 0.002 s
% 105.67/15.96  % (381332)Peak memory usage: 88 MB
% 105.67/15.96  % (381332)Instructions burned: 1 (million)
% 105.67/15.96  % (381323)Instruction limit reached! 
% 105.67/15.96  % (381323)------------------------------
% 105.67/15.96  % (381323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.67/15.96  % (381323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.67/15.96  % (381323)CaDiCaL version: 2.1.3
% 105.67/15.96  % (381323)Termination reason: Instruction limit
% 105.67/15.96  % (381323)Termination phase: Saturation
% 105.67/15.96  % (381323)Time elapsed: 1.975 s
% 105.67/15.96  % (381323)Peak memory usage: 149 MB
% 105.67/15.96  % (381323)Instructions burned: 3225 (million)
% 105.67/15.96  % (381329)------------------------------
% 105.67/15.96  % (381329)------------------------------
% 105.67/15.96  % (381335)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3129659775:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2870 on theBenchmark for (2870ds/2326Mi)
% 105.67/15.96  % (381335)Refutation not found, incomplete strategy
% 105.67/15.96  % (381335)------------------------------
% 105.67/15.96  % (381335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.67/15.96  % (381335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.67/15.96  % (381335)CaDiCaL version: 2.1.3
% 105.67/15.96  % (381335)Termination reason: Refutation not found, incomplete strategy
% 105.67/15.96  % (381335)Time elapsed: 0.002 s
% 105.67/15.96  % (381335)Peak memory usage: 88 MB
% 105.67/15.96  % (381335)Instructions burned: 1 (million)
% 105.67/15.96  % (381332)------------------------------
% 105.67/15.96  % (381332)------------------------------
% 105.67/15.96  % (381336)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=852622397:i=6038:nm=6_2869 on theBenchmark for (2869ds/6038Mi)
% 105.67/15.96  % (381338)lrs+10_1_sil=32000:sp=occurrence:random_seed=159470976:st=2:i=33334:sd=3:ss=included:sgt=32_2868 on theBenchmark for (2868ds/33334Mi)
% 76.09/17.75  % (381335)------------------------------
% 76.09/17.75  % (381335)------------------------------
% 76.09/17.75  % (381341)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=643828555:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2866 on theBenchmark for (2866ds/1008Mi)
% 76.09/17.75  % (381341)Refutation not found, incomplete strategy
% 76.09/17.75  % (381341)------------------------------
% 76.09/17.75  % (381341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.09/17.75  % (381341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/17.75  % (381341)CaDiCaL version: 2.1.3
% 76.09/17.75  % (381341)Termination reason: Refutation not found, incomplete strategy
% 76.09/17.75  % (381341)Time elapsed: 0.001 s
% 76.09/17.75  % (381341)Peak memory usage: 87 MB
% 76.09/17.75  % (381341)------------------------------
% 76.09/17.75  % (381341)------------------------------
% 76.09/17.75  % (381336)Refutation not found, incomplete strategy
% 76.09/17.75  % (381336)------------------------------
% 76.09/17.75  % (381336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.09/17.75  % (381336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/17.75  % (381336)CaDiCaL version: 2.1.3
% 76.09/17.75  % (381336)Termination reason: Refutation not found, incomplete strategy
% 76.09/17.75  % (381336)Time elapsed: 0.595 s
% 76.09/17.75  % (381336)Peak memory usage: 128 MB
% 76.09/17.75  % (381336)Instructions burned: 893 (million)
% 76.09/17.75  % (381302)Instruction limit reached! 
% 76.09/17.75  % (381302)------------------------------
% 76.09/17.75  % (381302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.09/17.75  % (381302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/17.75  % (381302)CaDiCaL version: 2.1.3
% 76.09/17.75  % (381302)Termination reason: Instruction limit
% 76.09/17.75  % (381302)Termination phase: Saturation
% 76.09/17.75  % (381302)Time elapsed: 7.322 s
% 76.09/17.75  % (381302)Peak memory usage: 191 MB
% 76.09/17.75  % (381302)Instructions burned: 9925 (million)
% 76.09/17.75  % (381343)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=1197078510:i=8327:s2at=5:bd=preordered_2862 on theBenchmark for (2862ds/8327Mi)
% 76.09/17.75  % (381336)------------------------------
% 76.09/17.75  % (381336)------------------------------
% 76.09/17.75  % (381344)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=2864074072:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2860 on theBenchmark for (2860ds/1083Mi)
% 76.09/17.75  % (381347)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=4214089576:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2859 on theBenchmark for (2859ds/1084Mi)
% 76.09/17.75  % (381347)Refutation not found, incomplete strategy
% 76.09/17.75  % (381347)------------------------------
% 76.09/17.75  % (381347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.09/17.75  % (381347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/17.75  % (381347)CaDiCaL version: 2.1.3
% 76.09/17.75  % (381347)Termination reason: Refutation not found, incomplete strategy
% 76.09/17.75  % (381347)Time elapsed: 0.001 s
% 76.09/17.75  % (381347)Peak memory usage: 86 MB
% 76.09/17.75  % (381347)------------------------------
% 76.09/17.75  % (381347)------------------------------
% 76.09/17.75  % (381331)Instruction limit reached! 
% 76.09/17.75  % (381331)------------------------------
% 76.09/17.75  % (381331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.09/17.75  % (381331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/17.75  % (381331)CaDiCaL version: 2.1.3
% 76.09/17.75  % (381331)Termination reason: Instruction limit
% 76.09/17.75  % (381331)Termination phase: Saturation
% 76.09/17.75  % (381331)Time elapsed: 1.768 s
% 76.09/17.75  % (381331)Peak memory usage: 136 MB
% 76.09/17.75  % (381331)Instructions burned: 4837 (million)
% 76.09/17.75  % (381344)Instruction limit reached! 
% 76.09/17.75  % (381344)------------------------------
% 76.09/17.75  % (381344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.09/17.75  % (381344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/17.75  % (381344)CaDiCaL version: 2.1.3
% 76.09/17.75  % (381344)Termination reason: Instruction limit
% 76.09/17.75  % (381344)Termination phase: Saturation
% 76.09/17.75  % (381344)Time elapsed: 0.489 s
% 76.09/17.75  % (381344)Peak memory usage: 97 MB
% 76.09/17.75  % (381344)Instructions burned: 1084 (million)
% 76.09/17.75  % (381349)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=111300574:i=6995:s2at=5:gtg=all_2855 on theBenchmark for (2855ds/6995Mi)
% 76.09/17.75  % (381350)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=1246570666:st=2:i=6225:sd=15:ss=axioms_2854 on theBenchmark for (2854ds/6225Mi)
% 76.09/17.75  % (381350)Refutation not found, incomplete strategy
% 76.09/17.75  % (381350)------------------------------
% 76.09/17.75  % (381350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.09/17.75  % (381350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/17.75  % (381350)CaDiCaL version: 2.1.3
% 76.09/17.75  % (381350)Termination reason: Refutation not found, incomplete strategy
% 76.09/17.75  % (381350)Time elapsed: 0.0000 s
% 76.09/17.75  % (381350)Peak memory usage: 87 MB
% 76.09/17.75  % (381351)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=1661324434:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2854 on theBenchmark for (2854ds/3372Mi)
% 76.09/17.75  % (381350)------------------------------
% 76.09/17.75  % (381350)------------------------------
% 76.09/17.75  % (381355)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=3112322364:st=2.3:i=26457:sd=10:ss=included:sgt=8_2852 on theBenchmark for (2852ds/26457Mi)
% 76.09/17.75  [W927 16:02:08.159536294 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  [W927 16:02:08.159569357 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  [W927 16:02:08.159608557 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  [W927 16:02:08.159622124 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  [W927 16:02:08.159649097 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  [W927 16:02:08.159661454 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  [W927 16:02:08.159688711 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  [W927 16:02:08.159700798 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  [W927 16:02:08.159726981 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  [W927 16:02:08.159739128 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  [W927 16:02:08.159770071 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  [W927 16:02:08.159791761 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.
% 76.09/17.75  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 76.09/17.75  % (381351)Refutation not found, incomplete strategy
% 76.09/17.75  % (381351)------------------------------
% 76.09/17.75  % (381351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.09/17.75  % (381351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/17.75  % (381351)CaDiCaL version: 2.1.3
% 76.09/17.75  % (381351)Termination reason: Refutation not found, incomplete strategy
% 76.09/17.75  % (381351)Time elapsed: 0.528 s
% 76.09/17.75  % (381351)Peak memory usage: 126 MB
% 76.09/17.75  % (381351)Instructions burned: 822 (million)
% 76.09/17.75  % (381355)Refutation not found, incomplete strategy
% 76.09/17.75  % (381355)------------------------------
% 76.09/17.75  % (381355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.09/17.75  % (381355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/17.75  % (381355)CaDiCaL version: 2.1.3
% 76.09/17.75  % (381355)Termination reason: Refutation not found, incomplete strategy
% 76.09/17.75  % (381355)Time elapsed: 0.357 s
% 76.09/17.75  % (381355)Peak memory usage: 128 MB
% 76.09/17.75  % (381355)Instructions burned: 890 (million)
% 76.09/17.75  % (381351)------------------------------
% 76.09/17.75  % (381351)------------------------------
% 76.09/17.75  % (381357)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=2561860776:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2846 on theBenchmark for (2846ds/13494Mi)
% 76.09/17.75  % (381355)------------------------------
% 76.09/17.75  % (381355)------------------------------
% 76.09/17.75  % (381359)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=3058590104:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2844 on theBenchmark for (2844ds/2503Mi)
% 76.09/17.75  % (381349)First to succeed.
% 76.09/17.75  % (381349)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-381220"
% 76.09/17.75  % (381349)Refutation found. Thanks to Tanya!
% 76.09/17.75  % SZS status Theorem for theBenchmark
% 76.09/17.75  % SZS output start Proof for theBenchmark
% See solution above
% 120.03/17.97  % (381349)------------------------------
% 120.03/17.97  % (381349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.03/17.97  % (381349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.03/17.97  % (381349)CaDiCaL version: 2.1.3
% 120.03/17.97  % (381349)Termination reason: Refutation
% 120.03/17.97  % (381349)Time elapsed: 1.935 s
% 120.03/17.97  % (381349)Peak memory usage: 146 MB
% 120.03/17.97  % (381349)Instructions burned: 2988 (million)
% 120.03/17.97  % (381349)------------------------------
% 120.03/17.97  % (381349)------------------------------
% 120.03/17.97  % (381220)Success in time 16.88 s
% 120.03/17.97  % Vampire exiting
%------------------------------------------------------------------------------