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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL543+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 : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:52:54 AM UTC 2026

% Result   : Theorem 81.25s 17.13s
% Output   : Refutation 116.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  308 ( 196 unt;   0 def)
%            Number of atoms       :  448 ( 163 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  248 ( 108   ~;  98   |;   2   &)
%                                         (  15 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   22 (  20 usr;  20 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  566 ( 563   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( modus_ponens
  <=> ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens) ).

fof(f2,axiom,
    ( substitution_of_equivalents
  <=> ! [X0,X1] :
        ( is_a_theorem(equiv(X0,X1))
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution_of_equivalents) ).

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

fof(f4,axiom,
    ( implies_1
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_1) ).

fof(f5,axiom,
    ( implies_2
  <=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_2) ).

fof(f6,axiom,
    ( implies_3
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_3) ).

fof(f7,axiom,
    ( and_1
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1) ).

fof(f8,axiom,
    ( and_2
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_2) ).

fof(f9,axiom,
    ( and_3
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_3) ).

fof(f10,axiom,
    ( or_1
  <=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1) ).

fof(f12,axiom,
    ( or_3
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_3) ).

fof(f27,axiom,
    ( op_or
   => ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_or) ).

fof(f29,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(f31,axiom,
    ( op_equiv
   => ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_equiv) ).

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

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_modus_ponens) ).

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

fof(f37,axiom,
    implies_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_1) ).

fof(f38,axiom,
    implies_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_2) ).

fof(f39,axiom,
    implies_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_3) ).

fof(f40,axiom,
    and_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_1) ).

fof(f41,axiom,
    and_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_2) ).

fof(f42,axiom,
    and_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_3) ).

fof(f43,axiom,
    or_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_1) ).

fof(f45,axiom,
    or_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_3) ).

fof(f49,axiom,
    substitution_of_equivalents,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',use_substitution_of_equivalents) ).

fof(f50,axiom,
    ( necessitation
  <=> ! [X0] :
        ( is_a_theorem(X0)
       => is_a_theorem(necessarily(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',necessitation) ).

fof(f55,axiom,
    ( axiom_M
  <=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_M) ).

fof(f56,axiom,
    ( axiom_4
  <=> ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f65,axiom,
    ( axiom_m3
  <=> ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m3) ).

fof(f75,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(f78,axiom,
    necessitation,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',km4b_necessitation) ).

fof(f80,axiom,
    axiom_M,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',km4b_axiom_M) ).

fof(f81,axiom,
    axiom_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',km4b_axiom_4) ).

fof(f84,axiom,
    op_or,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_or) ).

fof(f86,axiom,
    op_strict_implies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).

fof(f87,axiom,
    op_equiv,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_equiv) ).

fof(f89,conjecture,
    axiom_m3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m3) ).

fof(f90,negated_conjecture,
    ~ axiom_m3,
    inference(negated_conjecture,[status(cth)],[f89]) ).

fof(f91,plain,
    ~ axiom_m3,
    inference(flattening,[],[f90]) ).

fof(f92,plain,
    ( ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))
   => axiom_m3 ),
    inference(unused_predicate_definition_removal,[],[f65]) ).

fof(f94,plain,
    ( axiom_4
   => ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
    inference(unused_predicate_definition_removal,[],[f56]) ).

fof(f95,plain,
    ( axiom_M
   => ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    inference(unused_predicate_definition_removal,[],[f55]) ).

fof(f97,plain,
    ( necessitation
   => ! [X0] :
        ( is_a_theorem(X0)
       => is_a_theorem(necessarily(X0)) ) ),
    inference(unused_predicate_definition_removal,[],[f50]) ).

fof(f101,plain,
    ( or_3
   => ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f103,plain,
    ( or_1
   => ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f10]) ).

fof(f104,plain,
    ( and_3
   => ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f105,plain,
    ( and_2
   => ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
    inference(unused_predicate_definition_removal,[],[f8]) ).

fof(f106,plain,
    ( and_1
   => ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f107,plain,
    ( implies_3
   => ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    inference(unused_predicate_definition_removal,[],[f6]) ).

fof(f108,plain,
    ( implies_2
   => ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f109,plain,
    ( implies_1
   => ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f110,plain,
    ( modus_tollens
   => ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f111,plain,
    ( substitution_of_equivalents
   => ! [X0,X1] :
        ( is_a_theorem(equiv(X0,X1))
       => X0 = X1 ) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f112,plain,
    ( modus_ponens
   => ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f117,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f112]) ).

fof(f118,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(flattening,[],[f117]) ).

fof(f119,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | ~ is_a_theorem(equiv(X0,X1)) )
    | ~ substitution_of_equivalents ),
    inference(ennf_transformation,[],[f111]) ).

fof(f120,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
    | ~ modus_tollens ),
    inference(ennf_transformation,[],[f110]) ).

fof(f121,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
    | ~ implies_1 ),
    inference(ennf_transformation,[],[f109]) ).

fof(f122,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
    | ~ implies_2 ),
    inference(ennf_transformation,[],[f108]) ).

fof(f123,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
    | ~ implies_3 ),
    inference(ennf_transformation,[],[f107]) ).

fof(f124,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
    | ~ and_1 ),
    inference(ennf_transformation,[],[f106]) ).

fof(f125,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
    | ~ and_2 ),
    inference(ennf_transformation,[],[f105]) ).

fof(f126,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
    | ~ and_3 ),
    inference(ennf_transformation,[],[f104]) ).

fof(f127,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
    | ~ or_1 ),
    inference(ennf_transformation,[],[f103]) ).

fof(f129,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
    | ~ or_3 ),
    inference(ennf_transformation,[],[f101]) ).

fof(f133,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ op_or ),
    inference(ennf_transformation,[],[f27]) ).

fof(f134,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ op_implies_and ),
    inference(ennf_transformation,[],[f29]) ).

fof(f135,plain,
    ( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
    | ~ op_equiv ),
    inference(ennf_transformation,[],[f31]) ).

fof(f136,plain,
    ( ! [X0] :
        ( is_a_theorem(necessarily(X0))
        | ~ is_a_theorem(X0) )
    | ~ necessitation ),
    inference(ennf_transformation,[],[f97]) ).

fof(f138,plain,
    ( ! [X0] : is_a_theorem(implies(necessarily(X0),X0))
    | ~ axiom_M ),
    inference(ennf_transformation,[],[f95]) ).

fof(f139,plain,
    ( ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
    | ~ axiom_4 ),
    inference(ennf_transformation,[],[f94]) ).

fof(f141,plain,
    ( axiom_m3
    | ? [X0,X1,X2] : ~ is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f143,plain,
    ( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
    | ~ op_strict_implies ),
    inference(ennf_transformation,[],[f75]) ).

fof(f145,plain,
    ( axiom_m3
    | ~ is_a_theorem(strict_implies(and(and(sK0,sK1),sK2),and(sK0,and(sK1,sK2)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f141]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ modus_ponens ),
    inference(cnf_transformation,[],[f118]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ is_a_theorem(equiv(X0,X1))
      | ~ substitution_of_equivalents ),
    inference(cnf_transformation,[],[f119]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
      | ~ modus_tollens ),
    inference(cnf_transformation,[],[f120]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X0)))
      | ~ implies_1 ),
    inference(cnf_transformation,[],[f121]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
      | ~ implies_2 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f151,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
      | ~ implies_3 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(and(X0,X1),X0))
      | ~ and_1 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(and(X0,X1),X1))
      | ~ and_2 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
      | ~ and_3 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,or(X0,X1)))
      | ~ or_1 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f157,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
      | ~ or_3 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( or(X0,X1) = not(and(not(X0),not(X1)))
      | ~ op_or ),
    inference(cnf_transformation,[],[f133]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = not(and(X0,not(X1)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[],[f134]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
      | ~ op_equiv ),
    inference(cnf_transformation,[],[f135]) ).

fof(f165,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f167,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f168,plain,
    modus_tollens,
    inference(cnf_transformation,[],[f36]) ).

fof(f169,plain,
    implies_1,
    inference(cnf_transformation,[],[f37]) ).

fof(f170,plain,
    implies_2,
    inference(cnf_transformation,[],[f38]) ).

fof(f171,plain,
    implies_3,
    inference(cnf_transformation,[],[f39]) ).

fof(f172,plain,
    and_1,
    inference(cnf_transformation,[],[f40]) ).

fof(f173,plain,
    and_2,
    inference(cnf_transformation,[],[f41]) ).

fof(f174,plain,
    and_3,
    inference(cnf_transformation,[],[f42]) ).

fof(f175,plain,
    or_1,
    inference(cnf_transformation,[],[f43]) ).

fof(f177,plain,
    or_3,
    inference(cnf_transformation,[],[f45]) ).

fof(f181,plain,
    substitution_of_equivalents,
    inference(cnf_transformation,[],[f49]) ).

fof(f182,plain,
    ! [X0] :
      ( is_a_theorem(necessarily(X0))
      | ~ is_a_theorem(X0)
      | ~ necessitation ),
    inference(cnf_transformation,[],[f136]) ).

fof(f184,plain,
    ! [X0] :
      ( is_a_theorem(implies(necessarily(X0),X0))
      | ~ axiom_M ),
    inference(cnf_transformation,[],[f138]) ).

fof(f185,plain,
    ! [X0] :
      ( is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
      | ~ axiom_4 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f187,plain,
    ( axiom_m3
    | ~ is_a_theorem(strict_implies(and(and(sK0,sK1),sK2),and(sK0,and(sK1,sK2)))) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( strict_implies(X0,X1) = necessarily(implies(X0,X1))
      | ~ op_strict_implies ),
    inference(cnf_transformation,[],[f143]) ).

fof(f192,plain,
    necessitation,
    inference(cnf_transformation,[],[f78]) ).

fof(f194,plain,
    axiom_M,
    inference(cnf_transformation,[],[f80]) ).

fof(f195,plain,
    axiom_4,
    inference(cnf_transformation,[],[f81]) ).

fof(f198,plain,
    op_or,
    inference(cnf_transformation,[],[f84]) ).

fof(f199,plain,
    op_strict_implies,
    inference(cnf_transformation,[],[f86]) ).

fof(f200,plain,
    op_equiv,
    inference(cnf_transformation,[],[f87]) ).

fof(f202,plain,
    ~ axiom_m3,
    inference(cnf_transformation,[],[f91]) ).

fof(f204,plain,
    ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)),
    inference(forward_subsumption_resolution,[],[f189,f199]) ).

fof(f206,plain,
    ~ is_a_theorem(strict_implies(and(and(sK0,sK1),sK2),and(sK0,and(sK1,sK2)))),
    inference(forward_subsumption_resolution,[],[f187,f202]) ).

fof(f208,plain,
    ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))),
    inference(forward_subsumption_resolution,[],[f185,f195]) ).

fof(f209,plain,
    ! [X0] : is_a_theorem(implies(necessarily(X0),X0)),
    inference(forward_subsumption_resolution,[],[f184,f194]) ).

fof(f211,plain,
    ! [X0] :
      ( is_a_theorem(necessarily(X0))
      | ~ is_a_theorem(X0) ),
    inference(forward_subsumption_resolution,[],[f182,f192]) ).

fof(f212,plain,
    ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
    inference(forward_subsumption_resolution,[],[f163,f200]) ).

fof(f213,plain,
    ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
    inference(forward_subsumption_resolution,[],[f162,f165]) ).

fof(f214,plain,
    ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
    inference(forward_subsumption_resolution,[],[f161,f198]) ).

fof(f218,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))),
    inference(forward_subsumption_resolution,[],[f157,f177]) ).

fof(f220,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
    inference(forward_subsumption_resolution,[],[f155,f175]) ).

fof(f221,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))),
    inference(forward_subsumption_resolution,[],[f154,f174]) ).

fof(f222,plain,
    ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)),
    inference(forward_subsumption_resolution,[],[f153,f173]) ).

fof(f223,plain,
    ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)),
    inference(forward_subsumption_resolution,[],[f152,f172]) ).

fof(f224,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(forward_subsumption_resolution,[],[f151,f171]) ).

fof(f225,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
    inference(forward_subsumption_resolution,[],[f150,f170]) ).

fof(f226,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(forward_subsumption_resolution,[],[f149,f169]) ).

fof(f227,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))),
    inference(forward_subsumption_resolution,[],[f148,f168]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ is_a_theorem(equiv(X0,X1)) ),
    inference(forward_subsumption_resolution,[],[f147,f181]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(forward_subsumption_resolution,[],[f146,f167]) ).

fof(f231,plain,
    ~ is_a_theorem(necessarily(implies(and(and(sK0,sK1),sK2),and(sK0,and(sK1,sK2))))),
    inference(forward_demodulation,[],[f206,f204]) ).

fof(f233,plain,
    ! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
    inference(forward_demodulation,[],[f214,f213]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(and(implies(X0,X1),implies(X1,X0)))
      | X0 = X1 ),
    inference(forward_demodulation,[],[f228,f212]) ).

fof(f239,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    inference(backward_demodulation,[],[f220,f233]) ).

fof(f241,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(implies(not(X0),X1),X2)))),
    inference(backward_demodulation,[],[f218,f233]) ).

fof(f242,plain,
    ~ is_a_theorem(implies(and(and(sK0,sK1),sK2),and(sK0,and(sK1,sK2)))),
    inference(resolution,[],[f211,f231]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,and(X0,X1)))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f221,f229]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f225,f229]) ).

fof(f247,plain,
    ! [X0] : is_a_theorem(implies(X0,and(X0,X0))),
    inference(resolution,[],[f246,f221]) ).

fof(f250,plain,
    ! [X0,X1] :
      ( is_a_theorem(and(X0,X1))
      | ~ is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f245,f229]) ).

fof(f252,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(resolution,[],[f224,f229]) ).

fof(f261,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
    inference(resolution,[],[f239,f252]) ).

fof(f265,plain,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    inference(resolution,[],[f226,f246]) ).

fof(f266,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(resolution,[],[f226,f252]) ).

fof(f270,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X1,X0))
      | X0 = X1
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f237,f250]) ).

fof(f271,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,and(X1,X0)),X1))
      | implies(X0,and(X1,X0)) = X1 ),
    inference(resolution,[],[f270,f221]) ).

fof(f272,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X1),X1))
      | implies(X0,X1) = X1 ),
    inference(resolution,[],[f270,f226]) ).

fof(f273,plain,
    ! [X0,X1] :
      ( implies(not(X0),X1) = X0
      | ~ is_a_theorem(implies(implies(not(X0),X1),X0)) ),
    inference(resolution,[],[f270,f239]) ).

fof(f274,plain,
    ! [X0] :
      ( and(X0,X0) = X0
      | ~ is_a_theorem(implies(and(X0,X0),X0)) ),
    inference(resolution,[],[f270,f247]) ).

fof(f275,plain,
    ! [X0,X1] :
      ( and(X0,X1) = X1
      | ~ is_a_theorem(implies(and(X0,X1),X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f270,f245]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(X0,necessarily(X0)))
      | necessarily(X0) = X0 ),
    inference(resolution,[],[f270,f209]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | and(X0,X1) = X1 ),
    inference(forward_subsumption_resolution,[],[f275,f222]) ).

fof(f284,plain,
    ! [X0] : and(X0,X0) = X0,
    inference(forward_subsumption_resolution,[],[f274,f222]) ).

fof(f296,plain,
    ! [X0] : implies(not(X0),X0) = not(not(X0)),
    inference(superposition,[],[f213,f284]) ).

fof(f298,plain,
    ! [X0,X1] : implies(implies(X0,X1),and(X0,not(X1))) = not(implies(X0,X1)),
    inference(superposition,[],[f296,f213]) ).

fof(f325,plain,
    ! [X0,X1] : and(implies(X0,X0),X1) = X1,
    inference(resolution,[],[f283,f265]) ).

fof(f329,plain,
    ! [X0,X1] : and(implies(necessarily(X0),X0),X1) = X1,
    inference(resolution,[],[f283,f209]) ).

fof(f335,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(necessarily(X1),X1))),
    inference(superposition,[],[f223,f329]) ).

fof(f337,plain,
    ! [X0,X1] : not(not(X0)) = implies(implies(necessarily(X1),X1),X0),
    inference(superposition,[],[f213,f329]) ).

fof(f341,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[],[f223,f325]) ).

fof(f343,plain,
    ! [X0,X1] : not(not(X0)) = implies(implies(X1,X1),X0),
    inference(superposition,[],[f213,f325]) ).

fof(f360,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X2,X1),implies(implies(not(X0),X2),X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f241,f229]) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | implies(X2,X1) = implies(implies(not(X0),X2),X1)
      | ~ is_a_theorem(implies(implies(implies(not(X0),X2),X1),implies(X2,X1))) ),
    inference(resolution,[],[f360,f270]) ).

fof(f372,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(not(X0),X2),X1))
      | ~ is_a_theorem(implies(X2,X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f360,f229]) ).

fof(f380,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | implies(X2,X1) = implies(implies(not(X0),X2),X1) ),
    inference(forward_subsumption_resolution,[],[f370,f266]) ).

fof(f382,plain,
    ! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(implies(not(X2),X0),implies(X1,X2)),
    inference(resolution,[],[f380,f226]) ).

fof(f385,plain,
    ! [X0,X1] : implies(X0,X1) = implies(implies(not(X1),X0),X1),
    inference(resolution,[],[f380,f265]) ).

fof(f390,plain,
    ! [X2,X0,X1] : implies(X0,X1) = implies(implies(not(and(X2,X1)),X0),X1),
    inference(resolution,[],[f380,f222]) ).

fof(f398,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X1,X0))
      | implies(not(X0),X1) = X0 ),
    inference(backward_demodulation,[],[f273,f385]) ).

fof(f399,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(backward_demodulation,[],[f227,f382]) ).

fof(f401,plain,
    ! [X0,X1] : implies(X0,X1) = implies(not(implies(X0,X1)),X1),
    inference(resolution,[],[f398,f226]) ).

fof(f404,plain,
    ! [X0] : implies(not(X0),X0) = X0,
    inference(resolution,[],[f398,f265]) ).

fof(f417,plain,
    ! [X0] : not(not(X0)) = X0,
    inference(backward_demodulation,[],[f296,f404]) ).

fof(f425,plain,
    ! [X0,X1] : implies(X0,X1) = implies(implies(implies(X0,X1),and(X0,not(X1))),X1),
    inference(forward_demodulation,[],[f401,f298]) ).

fof(f429,plain,
    ! [X0,X1] : implies(implies(X1,X1),X0) = X0,
    inference(backward_demodulation,[],[f343,f417]) ).

fof(f430,plain,
    ! [X0,X1] : implies(implies(necessarily(X1),X1),X0) = X0,
    inference(backward_demodulation,[],[f337,f417]) ).

fof(f435,plain,
    ! [X0,X1] : and(X0,not(X1)) = not(implies(X0,X1)),
    inference(superposition,[],[f417,f213]) ).

fof(f439,plain,
    ! [X0,X1] : implies(X1,not(X0)) = not(and(X1,X0)),
    inference(superposition,[],[f213,f417]) ).

fof(f445,plain,
    ! [X2,X0,X1] : implies(X0,X1) = implies(implies(implies(X2,not(X1)),X0),X1),
    inference(backward_demodulation,[],[f390,f439]) ).

fof(f447,plain,
    ! [X0,X1] : and(X0,not(X1)) = implies(implies(X0,X1),and(X0,not(X1))),
    inference(backward_demodulation,[],[f298,f435]) ).

fof(f452,plain,
    ! [X0,X1] : implies(X0,X1) = implies(and(X0,not(X1)),X1),
    inference(backward_demodulation,[],[f425,f447]) ).

fof(f477,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | implies(X1,X1) = X0
      | ~ is_a_theorem(implies(X0,implies(X1,X1))) ),
    inference(superposition,[],[f270,f429]) ).

fof(f490,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | implies(X1,X1) = X0 ),
    inference(forward_subsumption_resolution,[],[f477,f341]) ).

fof(f496,plain,
    ! [X0] : not(X0) = implies(X0,not(X0)),
    inference(superposition,[],[f439,f284]) ).

fof(f511,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,not(X0)),not(X0)))),
    inference(superposition,[],[f224,f496]) ).

fof(f541,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),necessarily(X1)),X1))),
    inference(superposition,[],[f241,f430]) ).

fof(f557,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | implies(necessarily(X1),X1) = X0
      | ~ is_a_theorem(implies(X0,implies(necessarily(X1),X1))) ),
    inference(superposition,[],[f270,f430]) ).

fof(f570,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | implies(necessarily(X1),X1) = X0 ),
    inference(forward_subsumption_resolution,[],[f557,f335]) ).

fof(f613,plain,
    ! [X2,X0,X1] : implies(X0,X0) = implies(and(X1,X2),X1),
    inference(resolution,[],[f490,f223]) ).

fof(f725,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X1,and(X2,X3)),implies(implies(X0,X0),implies(X1,X2)))),
    inference(superposition,[],[f224,f613]) ).

fof(f744,plain,
    ! [X2,X3,X1] : is_a_theorem(implies(implies(X1,and(X2,X3)),implies(X1,X2))),
    inference(forward_demodulation,[],[f725,f429]) ).

fof(f1016,plain,
    ! [X0,X1] : implies(X1,not(X0)) = implies(and(X1,X0),not(X0)),
    inference(superposition,[],[f452,f417]) ).

fof(f1450,plain,
    ! [X0,X1] : implies(X0,X1) = implies(not(implies(X0,X1)),not(X0)),
    inference(resolution,[],[f399,f398]) ).

fof(f1451,plain,
    ! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(implies(not(not(X1)),X0),implies(X1,X2)),
    inference(resolution,[],[f399,f380]) ).

fof(f1455,plain,
    ! [X2,X0,X1] : implies(necessarily(X0),X0) = implies(not(X1),implies(X1,X2)),
    inference(resolution,[],[f399,f570]) ).

fof(f1456,plain,
    ! [X2,X0,X1] : implies(X0,X0) = implies(not(X1),implies(X1,X2)),
    inference(resolution,[],[f399,f490]) ).

fof(f1499,plain,
    ! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(implies(X1,X0),implies(X1,X2)),
    inference(forward_demodulation,[],[f1451,f417]) ).

fof(f1500,plain,
    ! [X0,X1] : implies(X0,X1) = implies(and(X0,not(X1)),not(X0)),
    inference(forward_demodulation,[],[f1450,f435]) ).

fof(f1506,plain,
    ! [X2,X3,X1] : is_a_theorem(implies(and(X2,X3),implies(X1,X2))),
    inference(backward_demodulation,[],[f744,f1499]) ).

fof(f1549,plain,
    ! [X2,X3,X0,X1] : implies(X0,implies(X1,X2)) = implies(implies(not(and(X2,X3)),X0),implies(X1,X2)),
    inference(resolution,[],[f1506,f380]) ).

fof(f1591,plain,
    ! [X2,X3,X0,X1] : implies(X0,implies(X1,X2)) = implies(implies(implies(X2,not(X3)),X0),implies(X1,X2)),
    inference(forward_demodulation,[],[f1549,f439]) ).

fof(f2184,plain,
    ! [X0,X1] : implies(X1,not(X0)) = implies(and(X1,X0),not(X1)),
    inference(superposition,[],[f1500,f417]) ).

fof(f2240,plain,
    ! [X0] : necessarily(X0) = necessarily(necessarily(X0)),
    inference(resolution,[],[f208,f281]) ).

fof(f2380,plain,
    ! [X0,X1] : not(implies(X0,not(X1))) = and(and(X0,X1),not(not(X1))),
    inference(superposition,[],[f435,f1016]) ).

fof(f2386,plain,
    ! [X0,X1] : not(implies(X0,not(X1))) = and(and(X0,X1),X1),
    inference(forward_demodulation,[],[f2380,f417]) ).

fof(f2400,plain,
    ! [X0,X1] : and(X0,not(not(X1))) = and(and(X0,X1),X1),
    inference(forward_demodulation,[],[f2386,f435]) ).

fof(f2403,plain,
    ! [X0,X1] : and(X0,X1) = and(and(X0,X1),X1),
    inference(forward_demodulation,[],[f2400,f417]) ).

fof(f2554,plain,
    ! [X0,X1] :
      ( implies(not(X0),and(X1,not(X0))) = X1
      | ~ is_a_theorem(implies(and(X1,not(X0)),X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f271,f372]) ).

fof(f2571,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | implies(not(X0),and(X1,not(X0))) = X1 ),
    inference(forward_subsumption_resolution,[],[f2554,f223]) ).

fof(f2824,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X1,not(X2)),implies(implies(X0,X0),implies(X1,implies(X2,X3))))),
    inference(superposition,[],[f224,f1456]) ).

fof(f2853,plain,
    ! [X2,X3,X1] : is_a_theorem(implies(implies(X1,not(X2)),implies(X1,implies(X2,X3)))),
    inference(forward_demodulation,[],[f2824,f429]) ).

fof(f2892,plain,
    ! [X2,X3,X1] : is_a_theorem(implies(not(X2),implies(X1,implies(X2,X3)))),
    inference(forward_demodulation,[],[f2853,f1499]) ).

fof(f2974,plain,
    ! [X0,X1] : not(implies(X0,not(X1))) = and(and(X0,X1),not(not(X0))),
    inference(superposition,[],[f435,f2184]) ).

fof(f2982,plain,
    ! [X0,X1] : not(implies(X0,not(X1))) = and(and(X0,X1),X0),
    inference(forward_demodulation,[],[f2974,f417]) ).

fof(f3017,plain,
    ! [X0,X1] : and(X0,not(not(X1))) = and(and(X0,X1),X0),
    inference(forward_demodulation,[],[f2982,f435]) ).

fof(f3032,plain,
    ! [X0,X1] : and(X0,X1) = and(and(X0,X1),X0),
    inference(forward_demodulation,[],[f3017,f417]) ).

fof(f3825,plain,
    ! [X0,X1] : implies(not(and(X0,X1)),and(X1,not(and(X0,X1)))) = X1,
    inference(resolution,[],[f2571,f222]) ).

fof(f3906,plain,
    ! [X0,X1] : implies(implies(X0,not(X1)),and(X1,implies(X0,not(X1)))) = X1,
    inference(forward_demodulation,[],[f3825,f439]) ).

fof(f3968,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = implies(implies(not(X0),necessarily(X1)),X1)
      | ~ is_a_theorem(implies(implies(implies(not(X0),necessarily(X1)),X1),implies(X0,X1))) ),
    inference(resolution,[],[f541,f270]) ).

fof(f4065,plain,
    ! [X0,X1] : implies(X0,X1) = implies(implies(not(X0),necessarily(X1)),X1),
    inference(forward_subsumption_resolution,[],[f3968,f261]) ).

fof(f4117,plain,
    ! [X0,X1] : implies(not(X0),X1) = implies(implies(X0,necessarily(X1)),X1),
    inference(superposition,[],[f4065,f417]) ).

fof(f4746,plain,
    ! [X2,X0,X1] : implies(implies(X0,not(X1)),X2) = implies(implies(and(X0,X1),necessarily(X2)),X2),
    inference(superposition,[],[f4117,f439]) ).

fof(f4785,plain,
    ! [X0,X1] : implies(X0,X1) = implies(implies(implies(X0,necessarily(necessarily(X1))),necessarily(X1)),X1),
    inference(superposition,[],[f4065,f4117]) ).

fof(f4855,plain,
    ! [X0,X1] : implies(X0,X1) = implies(implies(implies(X0,necessarily(X1)),necessarily(X1)),X1),
    inference(forward_demodulation,[],[f4785,f2240]) ).

fof(f5152,plain,
    ! [X2,X3,X0,X1] : implies(X0,implies(X1,implies(X2,X3))) = implies(implies(not(not(X2)),X0),implies(X1,implies(X2,X3))),
    inference(resolution,[],[f2892,f380]) ).

fof(f5310,plain,
    ! [X2,X3,X0,X1] : implies(X0,implies(X1,implies(X2,X3))) = implies(implies(X2,X0),implies(X1,implies(X2,X3))),
    inference(forward_demodulation,[],[f5152,f417]) ).

fof(f5340,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X0,X2)))),
    inference(backward_demodulation,[],[f224,f5310]) ).

fof(f6163,plain,
    ! [X0,X1] :
      ( implies(not(X0),X1) = X1
      | ~ is_a_theorem(implies(X1,X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f272,f372]) ).

fof(f6240,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | implies(not(X0),X1) = X1 ),
    inference(forward_subsumption_resolution,[],[f6163,f265]) ).

fof(f6246,plain,
    ! [X2,X0,X1] : implies(implies(X0,X1),implies(X2,X1)) = implies(not(X0),implies(implies(X0,X1),implies(X2,X1))),
    inference(resolution,[],[f6240,f5340]) ).

fof(f6291,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),X1))
      | implies(not(implies(X0,necessarily(X1))),X1) = X1 ),
    inference(superposition,[],[f6240,f4117]) ).

fof(f6340,plain,
    ! [X0,X1] :
      ( implies(implies(implies(X0,necessarily(X1)),necessarily(X1)),X1) = X1
      | ~ is_a_theorem(implies(not(X0),X1)) ),
    inference(forward_demodulation,[],[f6291,f4117]) ).

fof(f6378,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),X1))
      | implies(X0,X1) = X1 ),
    inference(forward_demodulation,[],[f6340,f4855]) ).

fof(f6701,plain,
    ! [X0,X1] : implies(X1,not(X0)) = implies(X0,implies(X1,not(X0))),
    inference(resolution,[],[f6378,f226]) ).

fof(f6706,plain,
    ! [X2,X0,X1] : implies(implies(not(X0),X1),implies(X2,X1)) = implies(X0,implies(implies(not(X0),X1),implies(X2,X1))),
    inference(resolution,[],[f6378,f5340]) ).

fof(f15650,plain,
    ! [X0,X1] :
      ( implies(X1,X0) = implies(implies(X0,not(X1)),not(X1))
      | ~ is_a_theorem(implies(implies(implies(X0,not(X1)),not(X1)),implies(X1,X0))) ),
    inference(resolution,[],[f511,f270]) ).

fof(f15842,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X1),implies(X1,X0)))
      | implies(X1,X0) = implies(implies(X0,not(X1)),not(X1)) ),
    inference(forward_demodulation,[],[f15650,f1591]) ).

fof(f15887,plain,
    ! [X0,X1] : implies(X1,X0) = implies(implies(X0,not(X1)),not(X1)),
    inference(forward_subsumption_resolution,[],[f15842,f399]) ).

fof(f15936,plain,
    ! [X0,X1] : implies(implies(X0,X1),not(X0)) = implies(X0,implies(X1,not(X0))),
    inference(superposition,[],[f15887,f15887]) ).

fof(f15947,plain,
    ! [X0,X1] : implies(X1,and(X0,X1)) = implies(implies(X0,not(X1)),not(X1)),
    inference(superposition,[],[f15887,f1016]) ).

fof(f15948,plain,
    ! [X0,X1] : implies(X0,and(X0,X1)) = implies(implies(X0,not(X1)),not(X0)),
    inference(superposition,[],[f15887,f2184]) ).

fof(f15962,plain,
    ! [X0,X1] : implies(not(X0),X1) = implies(implies(X1,X0),X0),
    inference(superposition,[],[f15887,f417]) ).

fof(f16041,plain,
    ! [X0,X1] : implies(X1,X0) = implies(X1,and(X0,X1)),
    inference(forward_demodulation,[],[f15947,f15887]) ).

fof(f16045,plain,
    ! [X0,X1] : implies(X1,not(X0)) = implies(implies(X0,X1),not(X0)),
    inference(forward_demodulation,[],[f15936,f6701]) ).

fof(f16134,plain,
    ! [X0,X1] : implies(implies(X0,not(X1)),X1) = X1,
    inference(backward_demodulation,[],[f3906,f16041]) ).

fof(f16172,plain,
    ! [X0,X1] : implies(not(X1),not(X0)) = implies(X0,and(X0,X1)),
    inference(backward_demodulation,[],[f15948,f16045]) ).

fof(f16435,plain,
    ! [X0,X1] : implies(implies(and(X0,X1),not(X0)),X1) = X1,
    inference(superposition,[],[f16134,f2184]) ).

fof(f17092,plain,
    ! [X0,X1] : implies(X0,not(X1)) = implies(X1,and(X1,not(X0))),
    inference(superposition,[],[f16172,f417]) ).

fof(f17413,plain,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,necessarily(X0)),X0),
    inference(superposition,[],[f4117,f15962]) ).

fof(f17481,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X1,X0),implies(implies(X0,X0),implies(not(X0),not(X1))))),
    inference(superposition,[],[f241,f15962]) ).

fof(f17558,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X1,X0),implies(not(X0),not(X1)))),
    inference(forward_demodulation,[],[f17481,f429]) ).

fof(f18031,plain,
    ! [X0,X1] : implies(implies(and(X0,X1),not(and(X0,X1))),X1) = X1,
    inference(superposition,[],[f16435,f2403]) ).

fof(f18101,plain,
    ! [X0,X1] : implies(implies(and(and(X0,X1),and(X0,X1)),necessarily(X1)),X1) = X1,
    inference(forward_demodulation,[],[f18031,f4746]) ).

fof(f18106,plain,
    ! [X0,X1] : implies(implies(X1,and(and(X0,X1),and(X0,X1))),and(and(X0,X1),and(X0,X1))) = X1,
    inference(forward_demodulation,[],[f18101,f17413]) ).

fof(f18109,plain,
    ! [X0,X1] : implies(implies(X1,and(X0,X1)),and(X0,X1)) = X1,
    inference(forward_demodulation,[],[f18106,f284]) ).

fof(f18111,plain,
    ! [X0,X1] : implies(implies(X1,X0),and(X0,X1)) = X1,
    inference(forward_demodulation,[],[f18109,f16041]) ).

fof(f18469,plain,
    ! [X0,X1] : not(implies(X0,not(X1))) = and(X1,not(and(X1,not(X0)))),
    inference(superposition,[],[f435,f17092]) ).

fof(f18543,plain,
    ! [X0,X1] : not(implies(X0,not(X1))) = and(X1,implies(X1,not(not(X0)))),
    inference(forward_demodulation,[],[f18469,f439]) ).

fof(f18608,plain,
    ! [X0,X1] : not(implies(X0,not(X1))) = and(X1,implies(X1,X0)),
    inference(forward_demodulation,[],[f18543,f417]) ).

fof(f18636,plain,
    ! [X0,X1] : and(X0,not(not(X1))) = and(X1,implies(X1,X0)),
    inference(forward_demodulation,[],[f18608,f435]) ).

fof(f18646,plain,
    ! [X0,X1] : and(X0,X1) = and(X1,implies(X1,X0)),
    inference(forward_demodulation,[],[f18636,f417]) ).

fof(f18760,plain,
    ! [X0,X1] : implies(not(X0),not(X1)) = implies(X1,and(X0,implies(X0,X1))),
    inference(superposition,[],[f16172,f18646]) ).

fof(f18777,plain,
    ! [X0,X1] : and(X0,X1) = and(X0,implies(X0,and(X0,X1))),
    inference(superposition,[],[f3032,f18646]) ).

fof(f19147,plain,
    ! [X0,X1] :
      ( implies(X1,X0) = implies(not(X0),not(X1))
      | ~ is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
    inference(resolution,[],[f17558,f270]) ).

fof(f19317,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X1),implies(X1,X0)))
      | implies(X1,X0) = implies(not(X0),not(X1)) ),
    inference(forward_demodulation,[],[f19147,f382]) ).

fof(f19350,plain,
    ! [X0,X1] : implies(X1,X0) = implies(not(X0),not(X1)),
    inference(forward_subsumption_resolution,[],[f19317,f399]) ).

fof(f19387,plain,
    ! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
    inference(superposition,[],[f19350,f417]) ).

fof(f19445,plain,
    ! [X0,X1] : implies(implies(not(X0),not(X1)),and(X0,X1)) = X1,
    inference(superposition,[],[f18111,f19350]) ).

fof(f19479,plain,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(not(X0),not(not(X1))),
    inference(superposition,[],[f15962,f19350]) ).

fof(f19499,plain,
    ! [X0,X1] : implies(X0,X1) = implies(X0,and(X0,X1)),
    inference(superposition,[],[f16172,f19350]) ).

fof(f19510,plain,
    ! [X0,X1] : implies(X0,X1) = implies(implies(not(X0),X1),X1),
    inference(superposition,[],[f15962,f19350]) ).

fof(f19665,plain,
    ! [X0,X1] : and(X0,X1) = and(X0,implies(X0,X1)),
    inference(backward_demodulation,[],[f18777,f19499]) ).

fof(f19749,plain,
    ! [X0,X1] : implies(not(X0),X1) = implies(implies(X0,X1),X1),
    inference(forward_demodulation,[],[f19479,f417]) ).

fof(f19949,plain,
    ! [X0,X1] : implies(X1,and(X0,X1)) = implies(not(X0),not(X1)),
    inference(backward_demodulation,[],[f18760,f19665]) ).

fof(f23401,plain,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    inference(superposition,[],[f15962,f19749]) ).

fof(f42191,plain,
    ! [X2,X0,X1] : implies(implies(X0,not(X1)),not(X1)) = implies(X1,implies(implies(X2,not(not(X1))),X0)),
    inference(superposition,[],[f15887,f445]) ).

fof(f42204,plain,
    ! [X2,X0,X1] : implies(implies(X0,not(X1)),not(X1)) = implies(X1,implies(implies(X2,X1),X0)),
    inference(forward_demodulation,[],[f42191,f417]) ).

fof(f42303,plain,
    ! [X2,X0,X1] : implies(X1,X0) = implies(X1,implies(implies(X2,X1),X0)),
    inference(forward_demodulation,[],[f42204,f15887]) ).

fof(f42427,plain,
    ! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(and(X0,X1),implies(implies(not(X0),not(X1)),X2)),
    inference(superposition,[],[f42303,f19949]) ).

fof(f42466,plain,
    ! [X2,X0,X1] : implies(X0,X2) = implies(X0,implies(implies(not(X0),X1),X2)),
    inference(superposition,[],[f42303,f19387]) ).

fof(f42475,plain,
    ! [X2,X0,X1] : implies(not(X0),X2) = implies(not(X0),implies(implies(X0,X1),X2)),
    inference(superposition,[],[f42303,f19350]) ).

fof(f42801,plain,
    ! [X2,X0,X1] : implies(implies(X0,X1),implies(X2,X1)) = implies(not(X0),implies(X2,X1)),
    inference(backward_demodulation,[],[f6246,f42475]) ).

fof(f42808,plain,
    ! [X2,X0,X1] : implies(implies(not(X0),X1),implies(X2,X1)) = implies(X0,implies(X2,X1)),
    inference(backward_demodulation,[],[f6706,f42466]) ).

fof(f43423,plain,
    ! [X2,X0,X1] : implies(X0,implies(X2,X1)) = implies(implies(implies(X0,X1),X1),implies(X2,X1)),
    inference(superposition,[],[f42808,f19749]) ).

fof(f43558,plain,
    ! [X2,X0,X1] : implies(X2,implies(X0,X1)) = implies(implies(not(X2),not(X0)),implies(X0,X1)),
    inference(superposition,[],[f42808,f19350]) ).

fof(f43628,plain,
    ! [X2,X0,X1] : implies(X2,implies(X1,X2)) = implies(X2,implies(X0,implies(X1,X2))),
    inference(superposition,[],[f42303,f42808]) ).

fof(f44387,plain,
    ! [X2,X0,X1] : implies(implies(not(X0),implies(X1,X2)),implies(X1,X2)) = implies(implies(implies(X1,X2),implies(X0,X2)),implies(X0,X2)),
    inference(superposition,[],[f23401,f42801]) ).

fof(f44418,plain,
    ! [X2,X0,X1] : implies(implies(X0,X1),implies(X2,X1)) = implies(implies(X0,implies(X2,X1)),implies(X2,X1)),
    inference(superposition,[],[f19749,f42801]) ).

fof(f44558,plain,
    ! [X2,X0,X1] : implies(implies(not(X0),implies(X1,X2)),implies(X1,X2)) = implies(implies(implies(X1,X2),X2),implies(X0,X2)),
    inference(forward_demodulation,[],[f44387,f44418]) ).

fof(f44716,plain,
    ! [X2,X0,X1] : implies(X1,implies(X0,X2)) = implies(implies(not(X0),implies(X1,X2)),implies(X1,X2)),
    inference(forward_demodulation,[],[f44558,f43423]) ).

fof(f44778,plain,
    ! [X2,X0,X1] : implies(X1,implies(X0,X2)) = implies(X0,implies(X1,X2)),
    inference(forward_demodulation,[],[f44716,f19510]) ).

fof(f48565,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(necessarily(X0),X0))
      | implies(X3,implies(X1,X2)) = implies(implies(not(not(X1)),X3),implies(X1,X2)) ),
    inference(superposition,[],[f380,f1455]) ).

fof(f48638,plain,
    ! [X2,X3,X1] : implies(X3,implies(X1,X2)) = implies(implies(not(not(X1)),X3),implies(X1,X2)),
    inference(forward_subsumption_resolution,[],[f48565,f209]) ).

fof(f48808,plain,
    ! [X2,X3,X1] : implies(X3,implies(X1,X2)) = implies(X1,implies(implies(not(not(X1)),X3),X2)),
    inference(forward_demodulation,[],[f48638,f44778]) ).

fof(f48913,plain,
    ! [X2,X3,X1] : implies(X3,implies(X1,X2)) = implies(X1,implies(implies(X1,X3),X2)),
    inference(forward_demodulation,[],[f48808,f417]) ).

fof(f49145,plain,
    ! [X2,X0,X1] : implies(implies(not(X1),not(X0)),implies(X0,X2)) = implies(and(X1,X0),implies(implies(not(X1),not(X0)),X2)),
    inference(superposition,[],[f48913,f19445]) ).

fof(f49588,plain,
    ! [X2,X0,X1] : implies(X1,implies(X0,X2)) = implies(and(X1,X0),implies(implies(not(X1),not(X0)),X2)),
    inference(forward_demodulation,[],[f49145,f43558]) ).

fof(f49770,plain,
    ! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(X0,implies(X1,X2)),
    inference(backward_demodulation,[],[f42427,f49588]) ).

fof(f51017,plain,
    ~ is_a_theorem(implies(and(sK0,sK1),implies(sK2,and(sK0,and(sK1,sK2))))),
    inference(backward_demodulation,[],[f242,f49770]) ).

fof(f51095,plain,
    ~ is_a_theorem(implies(sK0,implies(sK1,implies(sK2,and(sK0,and(sK1,sK2)))))),
    inference(forward_demodulation,[],[f51017,f49770]) ).

fof(f52401,plain,
    ! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(X0,implies(X1,and(X2,and(X0,X1)))),
    inference(superposition,[],[f16041,f49770]) ).

fof(f52431,plain,
    ! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(X0,implies(X1,and(X2,and(X0,X1)))),
    inference(forward_demodulation,[],[f52401,f49770]) ).

fof(f52550,plain,
    ~ is_a_theorem(implies(sK0,implies(sK1,implies(sK2,sK0)))),
    inference(backward_demodulation,[],[f51095,f52431]) ).

fof(f52605,plain,
    ~ is_a_theorem(implies(sK0,implies(sK2,sK0))),
    inference(forward_demodulation,[],[f52550,f43628]) ).

fof(f52821,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f52605,f226]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL543+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n014.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 15:58:46 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 9.98/2.08  % (970576)Detected formulas, will run a generic FOF schedule.
% 9.98/2.08  % (970617)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=697646775:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.98/2.08  % (970616)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1033334641:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.98/2.08  % (970614)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=1899819583:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.98/2.08  % (970615)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=729071153:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.98/2.08  % (970618)dis-21_1_sil=8000:lcm=predicate:random_seed=1936581203:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.98/2.08  % (970612)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=1021174628:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.98/2.08  % (970613)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=2014595409:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.98/2.08  % (970616)Refutation not found, incomplete strategy
% 9.98/2.08  % (970616)------------------------------
% 9.98/2.08  % (970616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.08  % (970616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.08  % (970616)CaDiCaL version: 2.1.3
% 9.98/2.08  % (970616)Termination reason: Refutation not found, incomplete strategy
% 9.98/2.08  % (970616)Time elapsed: 0.001 s
% 9.98/2.08  % (970616)Peak memory usage: 87 MB
% 9.98/2.08  % (970615)Refutation not found, incomplete strategy
% 9.98/2.08  % (970615)------------------------------
% 9.98/2.08  % (970615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.08  % (970615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.08  % (970615)CaDiCaL version: 2.1.3
% 9.98/2.08  % (970615)Termination reason: Refutation not found, incomplete strategy
% 9.98/2.08  % (970615)Time elapsed: 0.001 s
% 9.98/2.08  % (970615)Peak memory usage: 87 MB
% 9.98/2.08  % (970618)Refutation not found, incomplete strategy
% 9.98/2.08  % (970618)------------------------------
% 9.98/2.08  % (970618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.08  % (970618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.08  % (970618)CaDiCaL version: 2.1.3
% 9.98/2.08  % (970618)Termination reason: Refutation not found, incomplete strategy
% 9.98/2.08  % (970618)Time elapsed: 0.002 s
% 9.98/2.08  % (970618)Peak memory usage: 88 MB
% 9.98/2.08  % (970618)Instructions burned: 1 (million)
% 9.98/2.08  % (970617)Instruction limit reached! 
% 9.98/2.08  % (970617)------------------------------
% 9.98/2.08  % (970617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.08  % (970617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.08  % (970617)CaDiCaL version: 2.1.3
% 9.98/2.08  % (970617)Termination reason: Instruction limit
% 9.98/2.08  % (970617)Termination phase: Saturation
% 9.98/2.08  % (970617)Time elapsed: 0.048 s
% 9.98/2.08  % (970617)Peak memory usage: 91 MB
% 9.98/2.08  % (970617)Instructions burned: 140 (million)
% 9.98/2.08  % (970626)lrs+10_1_sil=8000:sp=occurrence:random_seed=1581222335:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.98/2.08  % (970626)Refutation not found, incomplete strategy
% 9.98/2.08  % (970626)------------------------------
% 9.98/2.08  % (970626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.98/2.08  % (970626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/2.08  % (970626)CaDiCaL version: 2.1.3
% 9.98/2.08  % (970626)Termination reason: Refutation not found, incomplete strategy
% 9.98/2.08  % (970626)Time elapsed: 0.0000 s
% 9.98/2.08  % (970626)Peak memory usage: 87 MB
% 9.98/2.08  % (970616)------------------------------
% 9.98/2.08  % (970616)------------------------------
% 9.98/2.08  % (970615)------------------------------
% 9.98/2.08  % (970615)------------------------------
% 9.98/2.08  % (970618)------------------------------
% 12.37/2.54  % (970618)------------------------------
% 12.37/2.54  % (970626)------------------------------
% 12.37/2.54  % (970626)------------------------------
% 12.37/2.54  % (970630)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=652814807:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.37/2.54  % (970628)lrs+10_1_sil=32000:urr=on:br=off:random_seed=148323251:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.37/2.54  % (970629)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1031749721:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.37/2.54  % (970629)Refutation not found, incomplete strategy
% 12.37/2.54  % (970629)------------------------------
% 12.37/2.54  % (970629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.54  % (970629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.54  % (970629)CaDiCaL version: 2.1.3
% 12.37/2.54  % (970629)Termination reason: Refutation not found, incomplete strategy
% 12.37/2.54  % (970629)Time elapsed: 0.001 s
% 12.37/2.54  % (970629)Peak memory usage: 87 MB
% 12.37/2.54  % (970628)Refutation not found, incomplete strategy
% 12.37/2.54  % (970628)------------------------------
% 12.37/2.54  % (970628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.54  % (970628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.54  % (970628)CaDiCaL version: 2.1.3
% 12.37/2.54  % (970628)Termination reason: Refutation not found, incomplete strategy
% 12.37/2.54  % (970628)Time elapsed: 0.001 s
% 12.37/2.54  % (970628)Peak memory usage: 87 MB
% 12.37/2.54  % (970631)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=32685699:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.37/2.54  % (970631)Refutation not found, incomplete strategy
% 12.37/2.54  % (970631)------------------------------
% 12.37/2.54  % (970631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.54  % (970631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.54  % (970631)CaDiCaL version: 2.1.3
% 12.37/2.54  % (970631)Termination reason: Refutation not found, incomplete strategy
% 12.37/2.54  % (970631)Time elapsed: 0.0000 s
% 12.37/2.54  % (970631)Peak memory usage: 87 MB
% 12.37/2.54  % (970614)Refutation not found, incomplete strategy
% 12.37/2.54  % (970614)------------------------------
% 12.37/2.54  % (970614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.54  % (970614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.54  % (970614)CaDiCaL version: 2.1.3
% 12.37/2.54  % (970614)Termination reason: Refutation not found, incomplete strategy
% 12.37/2.54  % (970614)Time elapsed: 0.561 s
% 12.37/2.54  % (970614)Peak memory usage: 126 MB
% 12.37/2.54  % (970614)Instructions burned: 830 (million)
% 12.37/2.54  % (970630)Instruction limit reached! 
% 12.37/2.54  % (970630)------------------------------
% 12.37/2.54  % (970630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.54  % (970630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.54  % (970630)CaDiCaL version: 2.1.3
% 12.37/2.54  % (970630)Termination reason: Instruction limit
% 12.37/2.54  % (970630)Termination phase: Saturation
% 12.37/2.54  % (970630)Time elapsed: 0.152 s
% 12.37/2.54  % (970630)Peak memory usage: 93 MB
% 12.37/2.54  % (970630)Instructions burned: 249 (million)
% 12.37/2.54  % (970631)------------------------------
% 12.37/2.54  % (970631)------------------------------
% 12.37/2.54  % (970628)------------------------------
% 12.37/2.54  % (970628)------------------------------
% 12.37/2.54  % (970629)------------------------------
% 12.37/2.54  % (970629)------------------------------
% 12.37/2.54  % (970637)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2227322537:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 12.37/2.54  % (970637)Refutation not found, incomplete strategy
% 12.37/2.54  % (970637)------------------------------
% 12.37/2.54  % (970637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.54  % (970637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.54  % (970637)CaDiCaL version: 2.1.3
% 12.37/2.54  % (970637)Termination reason: Refutation not found, incomplete strategy
% 12.37/2.54  % (970637)Time elapsed: 0.001 s
% 12.37/2.54  % (970637)Peak memory usage: 88 MB
% 12.37/2.54  % (970636)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1851965837:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 14.79/2.96  % (970614)------------------------------
% 14.79/2.96  % (970614)------------------------------
% 14.79/2.96  % (970639)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3539546347:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 14.79/2.96  % (970638)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=538815654:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 14.79/2.96  % (970639)Refutation not found, incomplete strategy
% 14.79/2.96  % (970639)------------------------------
% 14.79/2.96  % (970639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.79/2.96  % (970639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.79/2.96  % (970639)CaDiCaL version: 2.1.3
% 14.79/2.96  % (970639)Termination reason: Refutation not found, incomplete strategy
% 14.79/2.96  % (970639)Time elapsed: 0.001 s
% 14.79/2.96  % (970639)Peak memory usage: 87 MB
% 14.79/2.96  % (970637)------------------------------
% 14.79/2.96  % (970637)------------------------------
% 14.79/2.96  % (970638)Instruction limit reached! 
% 14.79/2.96  % (970638)------------------------------
% 14.79/2.96  % (970638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.79/2.96  % (970638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.79/2.96  % (970638)CaDiCaL version: 2.1.3
% 14.79/2.96  % (970638)Termination reason: Instruction limit
% 14.79/2.96  % (970638)Termination phase: Saturation
% 14.79/2.96  % (970638)Time elapsed: 0.068 s
% 14.79/2.96  % (970638)Peak memory usage: 88 MB
% 14.79/2.96  % (970638)Instructions burned: 127 (million)
% 14.79/2.96  % (970642)lrs+10_1_sil=8000:sp=occurrence:random_seed=3548615238:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 14.79/2.96  % (970642)Refutation not found, incomplete strategy
% 14.79/2.96  % (970642)------------------------------
% 14.79/2.96  % (970642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.79/2.96  % (970642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.79/2.96  % (970642)CaDiCaL version: 2.1.3
% 14.79/2.96  % (970642)Termination reason: Refutation not found, incomplete strategy
% 14.79/2.96  % (970642)Time elapsed: 0.001 s
% 14.79/2.96  % (970642)Peak memory usage: 87 MB
% 14.79/2.96  % (970645)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=212397267:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 14.79/2.96  % (970645)Refutation not found, incomplete strategy
% 14.79/2.96  % (970645)------------------------------
% 14.79/2.96  % (970645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.79/2.96  % (970645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.79/2.96  % (970645)CaDiCaL version: 2.1.3
% 14.79/2.96  % (970645)Termination reason: Refutation not found, incomplete strategy
% 14.79/2.96  % (970645)Time elapsed: 0.001 s
% 14.79/2.96  % (970645)Peak memory usage: 88 MB
% 14.79/2.96  % (970646)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3230933101:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 14.79/2.96  % (970639)------------------------------
% 14.79/2.96  % (970639)------------------------------
% 14.79/2.96  % (970645)------------------------------
% 14.79/2.96  % (970645)------------------------------
% 14.79/2.96  % (970642)------------------------------
% 14.79/2.96  % (970642)------------------------------
% 14.79/2.96  % (970650)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4069514067:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 14.79/2.96  % (970650)Refutation not found, incomplete strategy
% 14.79/2.96  % (970650)------------------------------
% 14.79/2.96  % (970650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.79/2.96  % (970650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.79/2.96  % (970650)CaDiCaL version: 2.1.3
% 14.79/2.96  % (970650)Termination reason: Refutation not found, incomplete strategy
% 14.79/2.96  % (970650)Time elapsed: 0.002 s
% 14.79/2.96  % (970650)Peak memory usage: 89 MB
% 14.79/2.96  % (970650)Instructions burned: 1 (million)
% 14.79/2.96  % (970651)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3352885629:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 14.79/2.96  % (970651)Refutation not found, incomplete strategy
% 14.79/2.96  % (970651)------------------------------
% 20.80/3.63  % (970651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.80/3.63  % (970651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.63  % (970651)CaDiCaL version: 2.1.3
% 20.80/3.63  % (970651)Termination reason: Refutation not found, incomplete strategy
% 20.80/3.63  % (970651)Time elapsed: 0.001 s
% 20.80/3.63  % (970651)Peak memory usage: 88 MB
% 20.80/3.63  % (970651)Instructions burned: 1 (million)
% 20.80/3.63  % (970652)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4010449762:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 20.80/3.63  % (970651)------------------------------
% 20.80/3.63  % (970651)------------------------------
% 20.80/3.63  % (970650)------------------------------
% 20.80/3.63  % (970650)------------------------------
% 20.80/3.63  % (970656)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=2195870410:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 20.80/3.63  % (970656)Refutation not found, incomplete strategy
% 20.80/3.63  % (970656)------------------------------
% 20.80/3.63  % (970656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.80/3.63  % (970656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.63  % (970656)CaDiCaL version: 2.1.3
% 20.80/3.63  % (970656)Termination reason: Refutation not found, incomplete strategy
% 20.80/3.63  % (970656)Time elapsed: 0.001 s
% 20.80/3.63  % (970656)Peak memory usage: 87 MB
% 20.80/3.63  % (970656)Instructions burned: 1 (million)
% 20.80/3.63  % (970657)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1470647099:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 20.80/3.63  % (970656)------------------------------
% 20.80/3.63  % (970656)------------------------------
% 20.80/3.63  % (970657)Instruction limit reached! 
% 20.80/3.63  % (970657)------------------------------
% 20.80/3.63  % (970657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.80/3.63  % (970657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.63  % (970657)CaDiCaL version: 2.1.3
% 20.80/3.63  % (970657)Termination reason: Instruction limit
% 20.80/3.63  % (970657)Termination phase: Saturation
% 20.80/3.63  % (970657)Time elapsed: 0.091 s
% 20.80/3.63  % (970657)Peak memory usage: 89 MB
% 20.80/3.63  % (970657)Instructions burned: 135 (million)
% 20.80/3.63  [W927 15:58:48.469137495 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.
% 20.80/3.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.80/3.63  [W927 15:58:48.469169508 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.
% 20.80/3.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.80/3.63  [W927 15:58:48.469207975 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.
% 20.80/3.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.80/3.63  [W927 15:58:48.469225055 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.
% 20.80/3.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.80/3.63  [W927 15:58:48.469250852 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.
% 20.80/3.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.80/3.63  [W927 15:58:48.469261832 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.
% 20.80/3.63  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.43/5.24  [W927 15:58:48.469287355 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.
% 32.43/5.24  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.43/5.24  [W927 15:58:48.469298358 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.
% 32.43/5.24  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.43/5.24  [W927 15:58:48.469322562 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.
% 32.43/5.24  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.43/5.24  [W927 15:58:48.469380815 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.
% 32.43/5.24  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.43/5.24  [W927 15:58:48.469415842 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.
% 32.43/5.24  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.43/5.24  [W927 15:58:48.469427089 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.
% 32.43/5.24  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.43/5.24  % (970660)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2117786442:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 32.43/5.24  % (970660)Refutation not found, incomplete strategy
% 32.43/5.24  % (970660)------------------------------
% 32.43/5.24  % (970660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/5.24  % (970660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/5.24  % (970660)CaDiCaL version: 2.1.3
% 32.43/5.24  % (970660)Termination reason: Refutation not found, incomplete strategy
% 32.43/5.24  % (970660)Time elapsed: 0.0000 s
% 32.43/5.24  % (970660)Peak memory usage: 87 MB
% 32.43/5.24  % (970661)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4180951841:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 32.43/5.24  % (970661)Refutation not found, incomplete strategy
% 32.43/5.24  % (970661)------------------------------
% 32.43/5.24  % (970661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/5.24  % (970661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/5.24  % (970661)CaDiCaL version: 2.1.3
% 32.43/5.24  % (970661)Termination reason: Refutation not found, incomplete strategy
% 32.43/5.24  % (970661)Time elapsed: 0.001 s
% 32.43/5.24  % (970661)Peak memory usage: 87 MB
% 32.43/5.24  % (970652)Refutation not found, incomplete strategy
% 32.43/5.24  % (970652)------------------------------
% 32.43/5.24  % (970652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/5.24  % (970652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/5.24  % (970652)CaDiCaL version: 2.1.3
% 32.43/5.24  % (970652)Termination reason: Refutation not found, incomplete strategy
% 32.43/5.24  % (970652)Time elapsed: 0.558 s
% 32.43/5.24  % (970652)Peak memory usage: 126 MB
% 32.43/5.24  % (970652)Instructions burned: 827 (million)
% 32.43/5.24  % (970660)------------------------------
% 32.43/5.24  % (970660)------------------------------
% 32.43/5.24  % (970664)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=1920495453:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 32.43/5.24  % (970652)------------------------------
% 32.43/5.24  % (970652)------------------------------
% 33.12/5.35  % (970661)------------------------------
% 33.12/5.35  % (970661)------------------------------
% 33.12/5.35  % (970636)Instruction limit reached! 
% 33.12/5.35  % (970636)------------------------------
% 33.12/5.35  % (970636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.12/5.35  % (970636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.12/5.35  % (970636)CaDiCaL version: 2.1.3
% 33.12/5.35  % (970636)Termination reason: Instruction limit
% 33.12/5.35  % (970636)Termination phase: Saturation
% 33.12/5.35  % (970636)Time elapsed: 1.503 s
% 33.12/5.35  % (970636)Peak memory usage: 142 MB
% 33.12/5.35  % (970636)Instructions burned: 2351 (million)
% 33.12/5.35  % (970666)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=3048281363:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 33.12/5.35  % (970667)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2884388436:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 33.12/5.35  % (970668)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1048101996:i=667:av=off:fsr=off_2976 on theBenchmark for (2976ds/667Mi)
% 33.12/5.35  % (970668)Refutation not found, incomplete strategy
% 33.12/5.35  % (970668)------------------------------
% 33.12/5.35  % (970668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.12/5.35  % (970668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.12/5.35  % (970668)CaDiCaL version: 2.1.3
% 33.12/5.35  % (970668)Termination reason: Refutation not found, incomplete strategy
% 33.12/5.35  % (970668)Time elapsed: 0.002 s
% 33.12/5.35  % (970668)Peak memory usage: 88 MB
% 33.12/5.35  % (970668)Instructions burned: 1 (million)
% 33.12/5.35  % (970666)Instruction limit reached! 
% 33.12/5.35  % (970666)------------------------------
% 33.12/5.35  % (970666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.12/5.35  % (970666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.12/5.35  % (970666)CaDiCaL version: 2.1.3
% 33.12/5.35  % (970666)Termination reason: Instruction limit
% 33.12/5.35  % (970666)Termination phase: Saturation
% 33.12/5.35  % (970666)Time elapsed: 0.083 s
% 33.12/5.35  % (970666)Peak memory usage: 90 MB
% 33.12/5.35  % (970666)Instructions burned: 151 (million)
% 33.12/5.35  % (970672)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=1726619171:s2a=on:i=185:s2at=1.8:fdi=4_2974 on theBenchmark for (2974ds/185Mi)
% 33.12/5.35  % (970668)------------------------------
% 33.12/5.35  % (970668)------------------------------
% 33.12/5.35  % (970672)Instruction limit reached! 
% 33.12/5.35  % (970672)------------------------------
% 33.12/5.35  % (970672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.12/5.35  % (970672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.12/5.35  % (970672)CaDiCaL version: 2.1.3
% 33.12/5.35  % (970672)Termination reason: Instruction limit
% 33.12/5.35  % (970672)Termination phase: Saturation
% 33.12/5.35  % (970672)Time elapsed: 0.094 s
% 33.12/5.35  % (970672)Peak memory usage: 90 MB
% 33.12/5.35  % (970672)Instructions burned: 186 (million)
% 33.12/5.35  % (970674)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3364229736:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2972 on theBenchmark for (2972ds/193Mi)
% 33.12/5.35  % (970674)Refutation not found, incomplete strategy
% 33.12/5.35  % (970674)------------------------------
% 33.12/5.35  % (970674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.12/5.35  % (970674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.12/5.35  % (970674)CaDiCaL version: 2.1.3
% 33.12/5.35  % (970674)Termination reason: Refutation not found, incomplete strategy
% 33.12/5.35  % (970674)Time elapsed: 0.001 s
% 33.12/5.35  % (970674)Peak memory usage: 87 MB
% 33.12/5.35  % (970675)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3721521562:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2971 on theBenchmark for (2971ds/4850Mi)
% 33.12/5.35  % (970675)Refutation not found, incomplete strategy
% 33.12/5.35  % (970675)------------------------------
% 33.12/5.35  % (970675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.12/5.35  % (970675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.94/6.36  % (970675)CaDiCaL version: 2.1.3
% 39.94/6.36  % (970675)Termination reason: Refutation not found, incomplete strategy
% 39.94/6.36  % (970675)Time elapsed: 0.002 s
% 39.94/6.36  % (970675)Peak memory usage: 88 MB
% 39.94/6.36  % (970675)Instructions burned: 1 (million)
% 39.94/6.36  % (970674)------------------------------
% 39.94/6.36  % (970674)------------------------------
% 39.94/6.36  % (970675)------------------------------
% 39.94/6.36  % (970675)------------------------------
% 39.94/6.36  % (970678)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1543459848:i=12111:sd=1:ss=included_2968 on theBenchmark for (2968ds/12111Mi)
% 39.94/6.36  % (970679)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2787459083:i=319:kws=precedence:fsr=off_2967 on theBenchmark for (2967ds/319Mi)
% 39.94/6.36  % (970679)Instruction limit reached! 
% 39.94/6.36  % (970679)------------------------------
% 39.94/6.36  % (970679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.94/6.36  % (970679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.94/6.36  % (970679)CaDiCaL version: 2.1.3
% 39.94/6.36  % (970679)Termination reason: Instruction limit
% 39.94/6.36  % (970679)Termination phase: Saturation
% 39.94/6.36  % (970679)Time elapsed: 0.201 s
% 39.94/6.36  % (970679)Peak memory usage: 94 MB
% 39.94/6.36  % (970679)Instructions burned: 320 (million)
% 39.94/6.36  % (970682)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2325041872:i=2064:ep=RST_2964 on theBenchmark for (2964ds/2064Mi)
% 39.94/6.36  % (970682)Refutation not found, incomplete strategy
% 39.94/6.36  % (970682)------------------------------
% 39.94/6.36  % (970682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.94/6.36  % (970682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.94/6.36  % (970682)CaDiCaL version: 2.1.3
% 39.94/6.36  % (970682)Termination reason: Refutation not found, incomplete strategy
% 39.94/6.36  % (970682)Time elapsed: 0.002 s
% 39.94/6.36  % (970682)Peak memory usage: 88 MB
% 39.94/6.36  % (970682)Instructions burned: 2 (million)
% 39.94/6.36  % (970682)------------------------------
% 39.94/6.36  % (970682)------------------------------
% 39.94/6.36  % (970684)dis-1011_128_sil=32000:random_seed=2125168095:i=3706:ep=RST:av=off_2960 on theBenchmark for (2960ds/3706Mi)
% 39.94/6.36  % (970646)Instruction limit reached! 
% 39.94/6.36  % (970646)------------------------------
% 39.94/6.36  % (970646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.94/6.36  % (970646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.94/6.36  % (970646)CaDiCaL version: 2.1.3
% 39.94/6.36  % (970646)Termination reason: Instruction limit
% 39.94/6.36  % (970646)Termination phase: Saturation
% 39.94/6.36  % (970646)Time elapsed: 2.991 s
% 39.94/6.36  % (970646)Peak memory usage: 175 MB
% 39.94/6.36  % (970646)Instructions burned: 5203 (million)
% 39.94/6.36  % (970664)Instruction limit reached! 
% 39.94/6.36  % (970664)------------------------------
% 39.94/6.36  % (970664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.94/6.36  % (970664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.94/6.36  % (970664)CaDiCaL version: 2.1.3
% 39.94/6.36  % (970664)Termination reason: Instruction limit
% 39.94/6.36  % (970664)Termination phase: Saturation
% 39.94/6.36  % (970664)Time elapsed: 2.012 s
% 39.94/6.36  % (970664)Peak memory usage: 171 MB
% 39.94/6.36  % (970664)Instructions burned: 6061 (million)
% 39.94/6.36  % (970686)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3112694516:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2957 on theBenchmark for (2957ds/757Mi)
% 39.94/6.36  % (970686)Refutation not found, incomplete strategy
% 39.94/6.36  % (970686)------------------------------
% 39.94/6.36  % (970686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.94/6.36  % (970686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.94/6.36  % (970686)CaDiCaL version: 2.1.3
% 39.94/6.36  % (970686)Termination reason: Refutation not found, incomplete strategy
% 39.94/6.36  % (970686)Time elapsed: 0.001 s
% 39.94/6.36  % (970686)Peak memory usage: 87 MB
% 39.94/6.36  % (970687)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1565022457:i=13913:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/13913Mi)
% 39.94/6.36  [W927 15:58:51.164624524 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  [W927 15:58:51.164661788 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  [W927 15:58:51.164683323 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  [W927 15:58:51.164691690 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  [W927 15:58:51.164705149 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  [W927 15:58:51.164710527 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  [W927 15:58:51.164723303 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  [W927 15:58:51.164769300 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  [W927 15:58:51.164797537 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  [W927 15:58:51.164814173 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  [W927 15:58:51.164837580 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  [W927 15:58:51.164854060 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.
% 49.14/7.69  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.14/7.69  % (970686)------------------------------
% 49.14/7.69  % (970686)------------------------------
% 49.14/7.69  % (970687)Refutation not found, incomplete strategy
% 49.14/7.69  % (970687)------------------------------
% 49.14/7.69  % (970687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.14/7.69  % (970687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.14/7.69  % (970687)CaDiCaL version: 2.1.3
% 49.14/7.69  % (970687)Termination reason: Refutation not found, incomplete strategy
% 79.02/11.99  % (970687)Time elapsed: 0.315 s
% 79.02/11.99  % (970687)Peak memory usage: 125 MB
% 79.02/11.99  % (970687)Instructions burned: 826 (million)
% 79.02/11.99  % (970690)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1980519859:i=9925:aac=none_2953 on theBenchmark for (2953ds/9925Mi)
% 79.02/11.99  % (970687)------------------------------
% 79.02/11.99  % (970687)------------------------------
% 79.02/11.99  % (970692)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1892031881:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2951 on theBenchmark for (2951ds/2479Mi)
% 79.02/11.99  % (970692)Refutation not found, incomplete strategy
% 79.02/11.99  % (970692)------------------------------
% 79.02/11.99  % (970692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.02/11.99  % (970692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.02/11.99  % (970692)CaDiCaL version: 2.1.3
% 79.02/11.99  % (970692)Termination reason: Refutation not found, incomplete strategy
% 79.02/11.99  % (970692)Time elapsed: 0.0000 s
% 79.02/11.99  % (970692)Peak memory usage: 87 MB
% 79.02/11.99  % (970692)------------------------------
% 79.02/11.99  % (970692)------------------------------
% 79.02/11.99  % (970694)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2457559556:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2948 on theBenchmark for (2948ds/440Mi)
% 79.02/11.99  % (970694)Instruction limit reached! 
% 79.02/11.99  % (970694)------------------------------
% 79.02/11.99  % (970694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.02/11.99  % (970694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.02/11.99  % (970694)CaDiCaL version: 2.1.3
% 79.02/11.99  % (970694)Termination reason: Instruction limit
% 79.02/11.99  % (970694)Termination phase: Saturation
% 79.02/11.99  % (970694)Time elapsed: 0.115 s
% 79.02/11.99  % (970694)Peak memory usage: 93 MB
% 79.02/11.99  % (970694)Instructions burned: 442 (million)
% 79.02/11.99  % (970696)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3631105357:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2946 on theBenchmark for (2946ds/11145Mi)
% 79.02/11.99  [W927 15:58:52.286915323 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 79.02/11.99  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.02/11.99  [W927 15:58:52.286978909 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 79.02/11.99  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.02/11.99  [W927 15:58:52.287020665 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 79.02/11.99  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.02/11.99  [W927 15:58:52.287040616 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 79.02/11.99  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.02/11.99  [W927 15:58:52.287059642 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 79.02/11.99  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.02/11.99  [W927 15:58:52.287065337 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 79.02/11.99  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.02/11.99  [W927 15:58:52.287079215 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.
% 80.88/12.09  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 80.88/12.09  [W927 15:58:52.287086055 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.
% 80.88/12.09  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 80.88/12.09  [W927 15:58:52.287098695 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.
% 80.88/12.09  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 80.88/12.09  [W927 15:58:52.287118245 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.
% 80.88/12.09  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 80.88/12.09  [W927 15:58:52.287131844 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.
% 80.88/12.09  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 80.88/12.09  [W927 15:58:52.287137405 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.
% 80.88/12.09  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 80.88/12.09  % (970696)Refutation not found, incomplete strategy
% 80.88/12.09  % (970696)------------------------------
% 80.88/12.09  % (970696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.88/12.09  % (970696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.88/12.09  % (970696)CaDiCaL version: 2.1.3
% 80.88/12.09  % (970696)Termination reason: Refutation not found, incomplete strategy
% 80.88/12.09  % (970696)Time elapsed: 0.314 s
% 80.88/12.09  % (970696)Peak memory usage: 126 MB
% 80.88/12.09  % (970696)Instructions burned: 826 (million)
% 80.88/12.09  % (970696)------------------------------
% 80.88/12.09  % (970696)------------------------------
% 80.88/12.09  % (970698)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=1443264238:cts=off:i=3034:av=off:er=known:fsd=on_2940 on theBenchmark for (2940ds/3034Mi)
% 80.88/12.09  % (970684)Instruction limit reached! 
% 80.88/12.09  % (970684)------------------------------
% 80.88/12.09  % (970684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.88/12.09  % (970684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.88/12.09  % (970684)CaDiCaL version: 2.1.3
% 80.88/12.09  % (970684)Termination reason: Instruction limit
% 80.88/12.09  % (970684)Termination phase: Saturation
% 80.88/12.09  % (970684)Time elapsed: 2.482 s
% 80.88/12.09  % (970684)Peak memory usage: 148 MB
% 80.88/12.09  % (970684)Instructions burned: 3706 (million)
% 80.88/12.09  % (970700)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3938122938:st=2:s2a=on:i=524:s2at=2:ss=axioms_2933 on theBenchmark for (2933ds/524Mi)
% 80.88/12.09  % (970700)Refutation not found, incomplete strategy
% 80.88/12.09  % (970700)------------------------------
% 80.88/12.09  % (970700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.88/12.09  % (970700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.88/12.09  % (970700)CaDiCaL version: 2.1.3
% 80.88/12.09  % (970700)Termination reason: Refutation not found, incomplete strategy
% 80.88/12.09  % (970700)Time elapsed: 0.001 s
% 80.88/12.09  % (970700)Peak memory usage: 87 MB
% 80.88/12.09  % (970700)------------------------------
% 80.88/12.09  % (970700)------------------------------
% 80.88/12.09  % (970698)Instruction limit reached! 
% 80.88/12.09  % (970698)------------------------------
% 80.88/12.09  % (970698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.88/12.09  % (970698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.88/12.09  % (970698)CaDiCaL version: 2.1.3
% 80.88/12.09  % (970698)Termination reason: Instruction limit
% 83.12/12.44  % (970698)Termination phase: Saturation
% 83.12/12.44  % (970698)Time elapsed: 0.932 s
% 83.12/12.44  % (970698)Peak memory usage: 146 MB
% 83.12/12.44  % (970698)Instructions burned: 3036 (million)
% 83.12/12.44  % (970703)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1346002006:i=14123:bd=preordered:ins=4_2929 on theBenchmark for (2929ds/14123Mi)
% 83.12/12.44  % (970702)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3447707103:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2929 on theBenchmark for (2929ds/1016Mi)
% 83.12/12.44  % (970702)Refutation not found, incomplete strategy
% 83.12/12.44  % (970702)------------------------------
% 83.12/12.44  % (970702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.12/12.44  % (970702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.12/12.44  % (970702)CaDiCaL version: 2.1.3
% 83.12/12.44  % (970702)Termination reason: Refutation not found, incomplete strategy
% 83.12/12.44  % (970702)Time elapsed: 0.001 s
% 83.12/12.44  % (970702)Peak memory usage: 87 MB
% 83.12/12.44  % (970702)------------------------------
% 83.12/12.44  % (970702)------------------------------
% 83.12/12.44  % (970706)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1251337003:i=5781:kws=precedence:bd=all:rawr=on_2925 on theBenchmark for (2925ds/5781Mi)
% 83.12/12.44  % (970678)Instruction limit reached! 
% 83.12/12.44  % (970678)------------------------------
% 83.12/12.44  % (970678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.12/12.44  % (970678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.12/12.44  % (970678)CaDiCaL version: 2.1.3
% 83.12/12.44  % (970678)Termination reason: Instruction limit
% 83.12/12.44  % (970678)Termination phase: Saturation
% 83.12/12.44  % (970678)Time elapsed: 6.249 s
% 83.12/12.44  % (970678)Peak memory usage: 246 MB
% 83.12/12.44  % (970678)Instructions burned: 12112 (million)
% 83.12/12.44  % (970708)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=1869486600:i=2448:gtgl=5:bd=preordered:gtg=all_2903 on theBenchmark for (2903ds/2448Mi)
% 83.12/12.44  % (970706)Instruction limit reached! 
% 83.12/12.44  % (970706)------------------------------
% 83.12/12.44  % (970706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.12/12.44  % (970706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.12/12.44  % (970706)CaDiCaL version: 2.1.3
% 83.12/12.44  % (970706)Termination reason: Instruction limit
% 83.12/12.44  % (970706)Termination phase: Saturation
% 83.12/12.44  % (970706)Time elapsed: 3.034 s
% 83.12/12.44  % (970706)Peak memory usage: 150 MB
% 83.12/12.44  % (970706)Instructions burned: 5782 (million)
% 83.12/12.44  % (970710)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3048657932:i=3223:kws=precedence:fgj=on:av=off_2893 on theBenchmark for (2893ds/3223Mi)
% 83.12/12.44  % (970667)Instruction limit reached! 
% 83.12/12.44  % (970667)------------------------------
% 83.12/12.44  % (970667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.12/12.44  % (970667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.12/12.44  % (970667)CaDiCaL version: 2.1.3
% 83.12/12.44  % (970667)Termination reason: Instruction limit
% 83.12/12.44  % (970667)Termination phase: Saturation
% 83.12/12.44  % (970667)Time elapsed: 8.409 s
% 83.12/12.44  % (970667)Peak memory usage: 206 MB
% 83.12/12.44  % (970667)Instructions burned: 14156 (million)
% 83.12/12.44  % (970712)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=3792637190:st=5.6:i=2033:sd=3:ss=axioms_2890 on theBenchmark for (2890ds/2033Mi)
% 83.12/12.44  % (970708)Instruction limit reached! 
% 83.12/12.44  % (970708)------------------------------
% 83.12/12.44  % (970708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.12/12.44  % (970708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.12/12.44  % (970708)CaDiCaL version: 2.1.3
% 83.12/12.44  % (970708)Termination reason: Instruction limit
% 83.12/12.44  % (970708)Termination phase: Saturation
% 83.12/12.44  % (970708)Time elapsed: 1.466 s
% 83.12/12.44  % (970708)Peak memory usage: 145 MB
% 83.12/12.44  % (970708)Instructions burned: 2448 (million)
% 83.12/12.44  % (970690)Instruction limit reached! 
% 83.12/12.44  % (970690)------------------------------
% 83.12/12.44  % (970690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.12/12.44  % (970690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.71/12.54  % (970690)CaDiCaL version: 2.1.3
% 83.71/12.54  % (970690)Termination reason: Instruction limit
% 83.71/12.54  % (970690)Termination phase: Saturation
% 83.71/12.54  % (970690)Time elapsed: 6.551 s
% 83.71/12.54  % (970690)Peak memory usage: 207 MB
% 83.71/12.54  % (970690)Instructions burned: 9926 (million)
% 83.71/12.54  % (970714)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1583639402:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2887 on theBenchmark for (2887ds/2055Mi)
% 83.71/12.54  [W927 15:58:58.016503601 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.
% 83.71/12.54  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.71/12.54  [W927 15:58:58.016550388 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.
% 83.71/12.54  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.71/12.54  [W927 15:58:58.016587538 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.
% 83.71/12.54  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.71/12.54  [W927 15:58:58.016599725 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.
% 83.71/12.54  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.71/12.54  [W927 15:58:58.016623898 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.
% 83.71/12.54  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.71/12.54  [W927 15:58:58.016646248 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.
% 83.71/12.54  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.71/12.54  [W927 15:58:58.016671702 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.
% 83.71/12.54  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.71/12.54  [W927 15:58:58.016681738 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.
% 83.71/12.54  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.71/12.54  [W927 15:58:58.016705542 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.
% 83.71/12.54  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.71/12.54  [W927 15:58:58.016715632 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.
% 83.71/12.54  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.71/12.54  [W927 15:58:58.016740522 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.
% 83.71/12.54  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.71/12.54  [W927 15:58:58.016750565 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.
% 85.74/13.02  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 85.74/13.02  % (970715)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=940129240:i=21611:sd=3:ss=axioms_2886 on theBenchmark for (2886ds/21611Mi)
% 85.74/13.02  % (970712)Refutation not found, incomplete strategy
% 85.74/13.02  % (970712)------------------------------
% 85.74/13.02  % (970712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.74/13.02  % (970712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.74/13.02  % (970712)CaDiCaL version: 2.1.3
% 85.74/13.02  % (970712)Termination reason: Refutation not found, incomplete strategy
% 85.74/13.02  % (970712)Time elapsed: 0.548 s
% 85.74/13.02  % (970712)Peak memory usage: 125 MB
% 85.74/13.02  % (970712)Instructions burned: 826 (million)
% 85.74/13.02  [W927 15:58:58.362246406 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.
% 85.74/13.02  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 85.74/13.02  [W927 15:58:58.362284373 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.
% 85.74/13.02  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 85.74/13.02  [W927 15:58:58.362324170 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.
% 85.74/13.02  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 85.74/13.02  [W927 15:58:58.362337187 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.
% 85.74/13.02  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 85.74/13.02  [W927 15:58:58.362364320 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.
% 85.74/13.02  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 85.74/13.02  [W927 15:58:58.362376593 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.
% 85.74/13.02  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 85.74/13.02  [W927 15:58:58.362402323 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.
% 85.74/13.02  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 85.74/13.02  [W927 15:58:58.362425903 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.
% 85.74/13.02  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 85.74/13.02  [W927 15:58:58.362455500 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.
% 85.74/13.02  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 85.74/13.02  [W927 15:58:58.362466884 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.
% 85.74/13.02  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 85.74/13.02  [W927 15:58:58.362490570 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.362501554 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  % (970712)------------------------------
% 92.97/13.90  % (970712)------------------------------
% 92.97/13.90  [W927 15:58:58.463753195 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.463789025 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.463827462 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.463840915 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.463867009 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.463878295 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.463903612 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.463914765 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.463939365 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.463950349 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.463975242 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.
% 92.97/13.90  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 92.97/13.90  [W927 15:58:58.463986232 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 97.55/14.48  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.55/14.48  % (970714)Refutation not found, incomplete strategy
% 97.55/14.48  % (970714)------------------------------
% 97.55/14.48  % (970714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.55/14.48  % (970714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.55/14.48  % (970714)CaDiCaL version: 2.1.3
% 97.55/14.48  % (970714)Termination reason: Refutation not found, incomplete strategy
% 97.55/14.48  % (970714)Time elapsed: 0.551 s
% 97.55/14.48  % (970714)Peak memory usage: 126 MB
% 97.55/14.48  % (970714)Instructions burned: 827 (million)
% 97.55/14.48  % (970718)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=3877942170:i=4835:sd=13:ss=axioms:sgt=23_2881 on theBenchmark for (2881ds/4835Mi)
% 97.55/14.48  % (970718)Refutation not found, incomplete strategy
% 97.55/14.48  % (970718)------------------------------
% 97.55/14.48  % (970718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.55/14.48  % (970718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.55/14.48  % (970718)CaDiCaL version: 2.1.3
% 97.55/14.48  % (970718)Termination reason: Refutation not found, incomplete strategy
% 97.55/14.48  % (970718)Time elapsed: 0.003 s
% 97.55/14.48  % (970718)Peak memory usage: 88 MB
% 97.55/14.48  % (970718)Instructions burned: 2 (million)
% 97.55/14.48  % (970715)Refutation not found, incomplete strategy
% 97.55/14.48  % (970715)------------------------------
% 97.55/14.48  % (970715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.55/14.48  % (970715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.55/14.48  % (970715)CaDiCaL version: 2.1.3
% 97.55/14.48  % (970715)Termination reason: Refutation not found, incomplete strategy
% 97.55/14.48  % (970715)Time elapsed: 0.548 s
% 97.55/14.48  % (970715)Peak memory usage: 126 MB
% 97.55/14.48  % (970715)Instructions burned: 822 (million)
% 97.55/14.48  % (970714)------------------------------
% 97.55/14.48  % (970714)------------------------------
% 97.55/14.48  % (970703)Instruction limit reached! 
% 97.55/14.48  % (970703)------------------------------
% 97.55/14.48  % (970703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.55/14.48  % (970703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.55/14.48  % (970703)CaDiCaL version: 2.1.3
% 97.55/14.48  % (970703)Termination reason: Instruction limit
% 97.55/14.48  % (970703)Termination phase: Saturation
% 97.55/14.48  % (970703)Time elapsed: 5.049 s
% 97.55/14.48  % (970703)Peak memory usage: 204 MB
% 97.55/14.48  % (970703)Instructions burned: 14123 (million)
% 97.55/14.48  % (970718)------------------------------
% 97.55/14.48  % (970718)------------------------------
% 97.55/14.48  % (970715)------------------------------
% 97.55/14.48  % (970715)------------------------------
% 97.55/14.48  % (970721)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=2884033367:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2877 on theBenchmark for (2877ds/2326Mi)
% 97.55/14.48  % (970721)Refutation not found, incomplete strategy
% 97.55/14.48  % (970721)------------------------------
% 97.55/14.48  % (970721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.55/14.48  % (970721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.55/14.48  % (970721)CaDiCaL version: 2.1.3
% 97.55/14.48  % (970721)Termination reason: Refutation not found, incomplete strategy
% 97.55/14.48  % (970721)Time elapsed: 0.001 s
% 97.55/14.48  % (970721)Peak memory usage: 88 MB
% 97.55/14.48  % (970721)Instructions burned: 2 (million)
% 97.55/14.48  % (970720)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=168254858:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2877 on theBenchmark for (2877ds/797Mi)
% 97.55/14.48  % (970720)Refutation not found, incomplete strategy
% 97.55/14.48  % (970720)------------------------------
% 97.55/14.48  % (970720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.55/14.48  % (970720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.55/14.48  % (970720)CaDiCaL version: 2.1.3
% 97.55/14.48  % (970720)Termination reason: Refutation not found, incomplete strategy
% 107.10/15.88  % (970720)Time elapsed: 0.002 s
% 107.10/15.88  % (970720)Peak memory usage: 88 MB
% 107.10/15.88  % (970720)Instructions burned: 1 (million)
% 107.10/15.88  % (970722)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=1841168077:i=6038:nm=6_2877 on theBenchmark for (2877ds/6038Mi)
% 107.10/15.88  % (970721)------------------------------
% 107.10/15.88  % (970721)------------------------------
% 107.10/15.88  % (970723)lrs+10_1_sil=32000:sp=occurrence:random_seed=1140737917:st=2:i=33334:sd=3:ss=included:sgt=32_2876 on theBenchmark for (2876ds/33334Mi)
% 107.10/15.88  % (970720)------------------------------
% 107.10/15.88  % (970720)------------------------------
% 107.10/15.88  % (970728)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=1351008009:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2875 on theBenchmark for (2875ds/1008Mi)
% 107.10/15.88  % (970728)Refutation not found, incomplete strategy
% 107.10/15.88  % (970728)------------------------------
% 107.10/15.88  % (970728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.10/15.88  % (970728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.10/15.88  % (970728)CaDiCaL version: 2.1.3
% 107.10/15.88  % (970728)Termination reason: Refutation not found, incomplete strategy
% 107.10/15.88  % (970728)Time elapsed: 0.0000 s
% 107.10/15.88  % (970728)Peak memory usage: 87 MB
% 107.10/15.88  % (970728)------------------------------
% 107.10/15.88  % (970728)------------------------------
% 107.10/15.88  % (970730)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=3411296250:i=8327:s2at=5:bd=preordered_2873 on theBenchmark for (2873ds/8327Mi)
% 107.10/15.88  % (970710)Instruction limit reached! 
% 107.10/15.88  % (970710)------------------------------
% 107.10/15.88  % (970710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.10/15.88  % (970710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.10/15.88  % (970710)CaDiCaL version: 2.1.3
% 107.10/15.88  % (970710)Termination reason: Instruction limit
% 107.10/15.88  % (970710)Termination phase: Saturation
% 107.10/15.88  % (970710)Time elapsed: 2.021 s
% 107.10/15.88  % (970710)Peak memory usage: 150 MB
% 107.10/15.88  % (970710)Instructions burned: 3223 (million)
% 107.10/15.88  % (970731)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=1468802993:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2872 on theBenchmark for (2872ds/1083Mi)
% 107.10/15.88  % (970733)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=1496744990:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2871 on theBenchmark for (2871ds/1084Mi)
% 107.10/15.88  % (970733)Refutation not found, incomplete strategy
% 107.10/15.88  % (970733)------------------------------
% 107.10/15.88  % (970733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.10/15.88  % (970733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.10/15.88  % (970733)CaDiCaL version: 2.1.3
% 107.10/15.88  % (970733)Termination reason: Refutation not found, incomplete strategy
% 107.10/15.88  % (970733)Time elapsed: 0.001 s
% 107.10/15.88  % (970733)Peak memory usage: 86 MB
% 107.10/15.88  % (970722)Refutation not found, incomplete strategy
% 107.10/15.88  % (970722)------------------------------
% 107.10/15.88  % (970722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.10/15.88  % (970722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.10/15.88  % (970722)CaDiCaL version: 2.1.3
% 107.10/15.88  % (970722)Termination reason: Refutation not found, incomplete strategy
% 107.10/15.88  % (970722)Time elapsed: 0.601 s
% 107.10/15.88  % (970722)Peak memory usage: 128 MB
% 107.10/15.88  % (970722)Instructions burned: 891 (million)
% 107.10/15.88  % (970731)Instruction limit reached! 
% 107.10/15.88  % (970731)------------------------------
% 107.10/15.88  % (970731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.10/15.88  % (970731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.10/15.88  % (970731)CaDiCaL version: 2.1.3
% 107.10/15.88  % (970731)Termination reason: Instruction limit
% 107.10/15.88  % (970731)Termination phase: Saturation
% 107.10/15.88  % (970731)Time elapsed: 0.248 s
% 107.10/15.88  % (970731)Peak memory usage: 96 MB
% 107.10/15.88  % (970731)Instructions burned: 1085 (million)
% 107.10/15.88  % (970733)------------------------------
% 107.10/15.88  % (970733)------------------------------
% 112.10/16.58  % (970736)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=1283540891:i=6995:s2at=5:gtg=all_2868 on theBenchmark for (2868ds/6995Mi)
% 112.10/16.58  % (970722)------------------------------
% 112.10/16.58  % (970722)------------------------------
% 112.10/16.58  % (970738)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=1387554476:st=2:i=6225:sd=15:ss=axioms_2867 on theBenchmark for (2867ds/6225Mi)
% 112.10/16.58  % (970738)Refutation not found, incomplete strategy
% 112.10/16.58  % (970738)------------------------------
% 112.10/16.58  % (970738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.10/16.58  % (970738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.10/16.58  % (970738)CaDiCaL version: 2.1.3
% 112.10/16.58  % (970738)Termination reason: Refutation not found, incomplete strategy
% 112.10/16.58  % (970738)Time elapsed: 0.001 s
% 112.10/16.58  % (970738)Peak memory usage: 87 MB
% 112.10/16.58  % (970739)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=117594706:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2867 on theBenchmark for (2867ds/3372Mi)
% 112.10/16.58  % (970738)------------------------------
% 112.10/16.58  % (970738)------------------------------
% 112.10/16.58  [W927 15:59:00.405650084 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.
% 112.10/16.58  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 112.10/16.58  [W927 15:59:00.405684544 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.
% 112.10/16.58  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 112.10/16.58  [W927 15:59:00.405722161 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.
% 112.10/16.58  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 112.10/16.58  [W927 15:59:00.405734891 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.
% 112.10/16.58  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 112.10/16.58  [W927 15:59:00.405760958 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.
% 112.10/16.58  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 112.10/16.58  [W927 15:59:00.405772171 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.
% 112.10/16.58  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 112.10/16.58  [W927 15:59:00.405797421 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.
% 112.10/16.58  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 112.10/16.58  [W927 15:59:00.405808478 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.
% 112.10/16.58  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 112.10/16.58  [W927 15:59:00.405834035 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.
% 112.10/16.58  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 112.10/16.58  [W927 15:59:00.405845068 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.
% 113.62/16.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 113.62/16.82  [W927 15:59:00.405870241 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.
% 113.62/16.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 113.62/16.82  [W927 15:59:00.405880381 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.
% 113.62/16.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 113.62/16.82  % (970742)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=2679111801:st=2.3:i=26457:sd=10:ss=included:sgt=8_2863 on theBenchmark for (2863ds/26457Mi)
% 113.62/16.82  % (970739)Refutation not found, incomplete strategy
% 113.62/16.82  % (970739)------------------------------
% 113.62/16.82  % (970739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.62/16.82  % (970739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.62/16.82  % (970739)CaDiCaL version: 2.1.3
% 113.62/16.82  % (970739)Termination reason: Refutation not found, incomplete strategy
% 113.62/16.82  % (970739)Time elapsed: 0.548 s
% 113.62/16.82  % (970739)Peak memory usage: 126 MB
% 113.62/16.82  % (970739)Instructions burned: 827 (million)
% 113.62/16.82  % (970739)------------------------------
% 113.62/16.82  % (970739)------------------------------
% 113.62/16.82  % (970744)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=293604413:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2857 on theBenchmark for (2857ds/13494Mi)
% 113.62/16.82  % (970742)Refutation not found, incomplete strategy
% 113.62/16.82  % (970742)------------------------------
% 113.62/16.82  % (970742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.62/16.82  % (970742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.62/16.82  % (970742)CaDiCaL version: 2.1.3
% 113.62/16.82  % (970742)Termination reason: Refutation not found, incomplete strategy
% 113.62/16.82  % (970742)Time elapsed: 0.592 s
% 113.62/16.82  % (970742)Peak memory usage: 127 MB
% 113.62/16.82  % (970742)Instructions burned: 891 (million)
% 113.62/16.82  % (970742)------------------------------
% 113.62/16.82  % (970742)------------------------------
% 113.62/16.82  % (970746)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=3470299976:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2853 on theBenchmark for (2853ds/2503Mi)
% 113.62/16.82  [W927 15:59:02.800711349 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.
% 113.62/16.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 113.62/16.82  [W927 15:59:02.800758209 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.
% 113.62/16.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 113.62/16.82  [W927 15:59:02.800795559 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.
% 113.62/16.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 113.62/16.82  [W927 15:59:02.800814512 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.
% 113.62/16.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 113.62/16.82  [W927 15:59:02.800842092 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:02.800853463 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:02.800885043 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:02.800895509 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:02.800919143 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:02.800928883 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:02.800952049 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:02.800962039 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  % (970746)Refutation not found, incomplete strategy
% 81.25/17.13  % (970746)------------------------------
% 81.25/17.13  % (970746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/17.13  % (970746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/17.13  % (970746)CaDiCaL version: 2.1.3
% 81.25/17.13  % (970746)Termination reason: Refutation not found, incomplete strategy
% 81.25/17.13  % (970746)Time elapsed: 0.546 s
% 81.25/17.13  % (970746)Peak memory usage: 126 MB
% 81.25/17.13  % (970746)Instructions burned: 822 (million)
% 81.25/17.13  % (970736)Instruction limit reached! 
% 81.25/17.13  % (970736)------------------------------
% 81.25/17.13  % (970736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/17.13  % (970736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/17.13  % (970736)CaDiCaL version: 2.1.3
% 81.25/17.13  % (970736)Termination reason: Instruction limit
% 81.25/17.13  % (970736)Termination phase: Saturation
% 81.25/17.13  % (970736)Time elapsed: 2.342 s
% 81.25/17.13  % (970736)Peak memory usage: 167 MB
% 81.25/17.13  % (970736)Instructions burned: 6996 (million)
% 81.25/17.13  % (970746)------------------------------
% 81.25/17.13  % (970746)------------------------------
% 81.25/17.13  % (970748)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=2870934399:i=2559:sd=1:ep=RSTC:ss=axioms_2843 on theBenchmark for (2843ds/2559Mi)
% 81.25/17.13  % (970749)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=4260307779:i=30753:av=off:ss=included_2843 on theBenchmark for (2843ds/30753Mi)
% 81.25/17.13  [W927 15:59:03.503800681 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:03.503839412 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:03.503861781 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:03.503878841 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:03.503892633 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:03.503898377 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:03.503911748 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:03.503917476 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:03.503930478 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:03.503975983 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:03.503995986 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  [W927 15:59:03.504007626 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 81.25/17.13  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.25/17.13  % (970748)Refutation not found, incomplete strategy
% 81.25/17.13  % (970748)------------------------------
% 81.25/17.13  % (970748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.25/17.13  % (970748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.25/17.13  % (970748)CaDiCaL version: 2.1.3
% 81.25/17.13  % (970748)Termination reason: Refutation not found, incomplete strategy
% 81.25/17.13  % (970748)Time elapsed: 0.315 s
% 81.25/17.13  % (970748)Peak memory usage: 125 MB
% 81.25/17.13  % (970748)Instructions burned: 826 (million)
% 81.25/17.13  % (970730)First to succeed.
% 81.25/17.13  % (970730)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-970576"
% 81.25/17.13  % (970748)------------------------------
% 81.25/17.13  % (970748)------------------------------
% 81.25/17.13  % (970752)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=2234969015:i=26473:ep=RSTC_2837 on theBenchmark for (2837ds/26473Mi)
% 81.25/17.13  % (970730)Refutation found. Thanks to Tanya!
% 81.25/17.13  % SZS status Theorem for theBenchmark
% 81.25/17.13  % SZS output start Proof for theBenchmark
% See solution above
% 116.98/17.33  % (970730)------------------------------
% 116.98/17.33  % (970730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.98/17.33  % (970730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.98/17.33  % (970730)CaDiCaL version: 2.1.3
% 116.98/17.33  % (970730)Termination reason: Refutation
% 116.98/17.33  % (970730)Time elapsed: 3.390 s
% 116.98/17.33  % (970730)Peak memory usage: 165 MB
% 116.98/17.33  % (970730)Instructions burned: 5314 (million)
% 116.98/17.33  % (970730)------------------------------
% 116.98/17.33  % (970730)------------------------------
% 116.98/17.33  % (970576)Success in time 16.484 s
% 116.98/17.33  % Vampire exiting
%------------------------------------------------------------------------------