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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL477+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 : n001.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 11:52:34 AM UTC 2026

% Result   : Theorem 26.81s 4.44s
% Output   : Refutation 27.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   62
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  153 (  59 unt;   0 def)
%            Number of atoms       :  280 (  27 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  237 ( 110   ~; 106   |;   2   &)
%                                         (   6 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   12 (  10 usr;  10 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :  316 ( 314   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( modus_ponens
  <=> ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    file('/export/starexec/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(f19,axiom,
    ( cn1
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn1) ).

fof(f20,axiom,
    ( cn2
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn2) ).

fof(f21,axiom,
    ( cn3
  <=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn3) ).

fof(f24,axiom,
    ( r3
  <=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3) ).

fof(f28,axiom,
    ( op_and
   => ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_and) ).

fof(f30,axiom,
    ( op_implies_or
   => ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_or) ).

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

fof(f36,axiom,
    cn1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn1) ).

fof(f37,axiom,
    cn2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn2) ).

fof(f38,axiom,
    cn3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn3) ).

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

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

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

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

fof(f43,conjecture,
    r3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r3) ).

fof(f44,negated_conjecture,
    ~ r3,
    inference(negated_conjecture,[status(cth)],[f43]) ).

fof(f45,plain,
    ~ r3,
    inference(flattening,[],[f44]) ).

fof(f46,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
   => r3 ),
    inference(unused_predicate_definition_removal,[],[f24]) ).

fof(f47,plain,
    ( cn3
   => ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
    inference(unused_predicate_definition_removal,[],[f21]) ).

fof(f48,plain,
    ( cn2
   => ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
    inference(unused_predicate_definition_removal,[],[f20]) ).

fof(f49,plain,
    ( cn1
   => ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    inference(unused_predicate_definition_removal,[],[f19]) ).

fof(f50,plain,
    ( substitution_of_equivalents
   => ! [X0,X1] :
        ( is_a_theorem(equiv(X0,X1))
       => X0 = X1 ) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f51,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(f54,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f51]) ).

fof(f55,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(flattening,[],[f54]) ).

fof(f56,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | ~ is_a_theorem(equiv(X0,X1)) )
    | ~ substitution_of_equivalents ),
    inference(ennf_transformation,[],[f50]) ).

fof(f57,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
    | ~ cn1 ),
    inference(ennf_transformation,[],[f49]) ).

fof(f58,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
    | ~ cn2 ),
    inference(ennf_transformation,[],[f48]) ).

fof(f59,plain,
    ( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
    | ~ cn3 ),
    inference(ennf_transformation,[],[f47]) ).

fof(f60,plain,
    ( r3
    | ? [X0,X1] : ~ is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f62,plain,
    ( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ op_and ),
    inference(ennf_transformation,[],[f28]) ).

fof(f63,plain,
    ( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
    | ~ op_implies_or ),
    inference(ennf_transformation,[],[f30]) ).

fof(f64,plain,
    ( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
    | ~ op_equiv ),
    inference(ennf_transformation,[],[f31]) ).

fof(f65,plain,
    ( r3
    | ~ is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f60]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ modus_ponens ),
    inference(cnf_transformation,[],[f55]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ is_a_theorem(equiv(X0,X1))
      | ~ substitution_of_equivalents ),
    inference(cnf_transformation,[],[f56]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
      | ~ cn1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,implies(not(X0),X1)))
      | ~ cn2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f70,plain,
    ! [X0] :
      ( is_a_theorem(implies(implies(not(X0),X0),X0))
      | ~ cn3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f71,plain,
    ( r3
    | ~ is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0))) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( and(X0,X1) = not(or(not(X0),not(X1)))
      | ~ op_and ),
    inference(cnf_transformation,[],[f62]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = or(not(X0),X1)
      | ~ op_implies_or ),
    inference(cnf_transformation,[],[f63]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
      | ~ op_equiv ),
    inference(cnf_transformation,[],[f64]) ).

fof(f78,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f79,plain,
    cn1,
    inference(cnf_transformation,[],[f36]) ).

fof(f80,plain,
    cn2,
    inference(cnf_transformation,[],[f37]) ).

fof(f81,plain,
    cn3,
    inference(cnf_transformation,[],[f38]) ).

fof(f82,plain,
    substitution_of_equivalents,
    inference(cnf_transformation,[],[f39]) ).

fof(f83,plain,
    op_implies_or,
    inference(cnf_transformation,[],[f40]) ).

fof(f84,plain,
    op_and,
    inference(cnf_transformation,[],[f41]) ).

fof(f85,plain,
    op_equiv,
    inference(cnf_transformation,[],[f42]) ).

fof(f86,plain,
    ~ r3,
    inference(cnf_transformation,[],[f45]) ).

fof(f87,plain,
    ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
    inference(forward_subsumption_resolution,[],[f75,f85]) ).

fof(f88,plain,
    ! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
    inference(forward_subsumption_resolution,[],[f74,f83]) ).

fof(f89,plain,
    ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
    inference(forward_subsumption_resolution,[],[f73,f84]) ).

fof(f91,plain,
    ~ is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0))),
    inference(forward_subsumption_resolution,[],[f71,f86]) ).

fof(f92,plain,
    ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
    inference(forward_subsumption_resolution,[],[f70,f81]) ).

fof(f93,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    inference(forward_subsumption_resolution,[],[f69,f80]) ).

fof(f94,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(forward_subsumption_resolution,[],[f68,f79]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equiv(X0,X1))
      | X0 = X1 ),
    inference(forward_subsumption_resolution,[],[f67,f82]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(forward_subsumption_resolution,[],[f66,f78]) ).

fof(f97,plain,
    ! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
    inference(forward_demodulation,[],[f89,f88]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(not(X0),X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f96,f93]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f96,f94]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f104,f96]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(not(X1),X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f105,f93]) ).

fof(f107,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f105,f94]) ).

fof(f108,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,implies(X3,X2)))
      | ~ is_a_theorem(implies(X3,X1)) ),
    inference(resolution,[],[f105,f104]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f92,f105]) ).

fof(f113,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X1,not(X0))) ),
    inference(resolution,[],[f108,f93]) ).

fof(f115,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X3,X0))
      | ~ is_a_theorem(implies(X2,X3))
      | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(resolution,[],[f108,f104]) ).

fof(f117,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,not(X1)))
      | is_a_theorem(implies(X1,implies(X2,X3)))
      | ~ is_a_theorem(implies(X2,X0)) ),
    inference(resolution,[],[f113,f108]) ).

fof(f159,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(X0)
      | is_a_theorem(implies(implies(X2,X3),implies(X1,X3))) ),
    inference(resolution,[],[f107,f96]) ).

fof(f171,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1)))
      | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(resolution,[],[f159,f92]) ).

fof(f177,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X2,X0))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X2,implies(not(X1),X3))) ),
    inference(resolution,[],[f106,f105]) ).

fof(f242,plain,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    inference(resolution,[],[f109,f93]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X1),not(X0)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f109,f113]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),X1))
      | ~ is_a_theorem(implies(not(X1),X0)) ),
    inference(resolution,[],[f109,f104]) ).

fof(f262,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X2,implies(X1,X0)))
      | ~ is_a_theorem(implies(not(X0),X1))
      | is_a_theorem(implies(X2,X0)) ),
    inference(resolution,[],[f245,f105]) ).

fof(f270,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(not(not(X0)),not(X0))))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f117,f92]) ).

fof(f305,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f244,f103]) ).

fof(f317,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X3,X0))
      | is_a_theorem(implies(X2,implies(X3,X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f305,f108]) ).

fof(f413,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(not(X1),X2)))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f270,f103]) ).

fof(f561,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(not(X0),X0),implies(not(X1),X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f177,f92]) ).

fof(f601,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(not(X0),X0),X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f561,f109]) ).

fof(f621,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X2,implies(not(X0),X0)))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X2,X1)) ),
    inference(resolution,[],[f601,f105]) ).

fof(f657,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X2,X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f621,f413]) ).

fof(f1048,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
      | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(resolution,[],[f115,f92]) ).

fof(f1074,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1048,f413]) ).

fof(f1109,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1074,f109]) ).

fof(f1131,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,X2)))
      | ~ is_a_theorem(X0)
      | is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[],[f1109,f105]) ).

fof(f1157,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X2,implies(X3,X0)))
      | is_a_theorem(implies(X2,implies(X3,X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1131,f107]) ).

fof(f1158,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1131,f94]) ).

fof(f1191,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(not(X1),X0),X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1158,f109]) ).

fof(f1329,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X3,X2))
      | is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X1,X3)) ),
    inference(resolution,[],[f1157,f1158]) ).

fof(f1708,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(not(X2),X2)))
      | is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
    inference(resolution,[],[f1329,f92]) ).

fof(f1756,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
    inference(resolution,[],[f1708,f242]) ).

fof(f1838,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(not(X2),X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f1756,f657]) ).

fof(f2337,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
    inference(resolution,[],[f1838,f93]) ).

fof(f2389,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X3,X3),X2))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f2337,f317]) ).

fof(f2738,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
    inference(resolution,[],[f2389,f2337]) ).

fof(f2800,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(resolution,[],[f2738,f171]) ).

fof(f2837,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))
      | is_a_theorem(implies(X0,implies(X3,X2))) ),
    inference(resolution,[],[f2800,f105]) ).

fof(f2992,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
      | ~ is_a_theorem(implies(X0,implies(X2,X3))) ),
    inference(resolution,[],[f2837,f107]) ).

fof(f3091,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(X1,X2),X4))
      | is_a_theorem(implies(X0,implies(X3,X4)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f2992,f1157]) ).

fof(f4093,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X2),X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f3091,f92]) ).

fof(f4146,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(resolution,[],[f4093,f93]) ).

fof(f4148,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f4093,f106]) ).

fof(f4174,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))),
    inference(resolution,[],[f4093,f242]) ).

fof(f4282,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X2,X0))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X2,implies(X3,X1))) ),
    inference(resolution,[],[f4148,f105]) ).

fof(f4484,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
      | is_a_theorem(implies(X0,implies(X3,X2))) ),
    inference(resolution,[],[f4282,f93]) ).

fof(f4540,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
    inference(resolution,[],[f4484,f4174]) ).

fof(f4598,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(resolution,[],[f4540,f1048]) ).

fof(f4726,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X1),X2))
      | is_a_theorem(implies(implies(X2,X3),implies(X1,X3))) ),
    inference(resolution,[],[f4598,f159]) ).

fof(f5115,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
    inference(resolution,[],[f4726,f94]) ).

fof(f6771,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
      | is_a_theorem(implies(X0,X3)) ),
    inference(resolution,[],[f5115,f96]) ).

fof(f6817,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(resolution,[],[f6771,f1756]) ).

fof(f6874,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f6817,f108]) ).

fof(f6943,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f6874,f93]) ).

fof(f7035,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),X1))
      | is_a_theorem(implies(not(X1),X0)) ),
    inference(resolution,[],[f6943,f262]) ).

fof(f7042,plain,
    ! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
    inference(resolution,[],[f6943,f109]) ).

fof(f7043,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(not(not(X0)),X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f6943,f621]) ).

fof(f7090,plain,
    ! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
    inference(resolution,[],[f7042,f244]) ).

fof(f8996,plain,
    ! [X0,X1] : is_a_theorem(implies(not(implies(X0,not(X1))),X1)),
    inference(resolution,[],[f7035,f4146]) ).

fof(f9028,plain,
    ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)),
    inference(forward_demodulation,[],[f8996,f97]) ).

fof(f9530,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,not(X1)))
      | is_a_theorem(implies(X1,not(X0))) ),
    inference(resolution,[],[f7043,f244]) ).

fof(f11414,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,not(implies(X1,not(X0)))))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f9530,f1109]) ).

fof(f11447,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,and(X1,X0)))
      | ~ is_a_theorem(X1) ),
    inference(forward_demodulation,[],[f11414,f97]) ).

fof(f11542,plain,
    ! [X0,X1] :
      ( is_a_theorem(and(X0,X1))
      | ~ is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f11447,f96]) ).

fof(f11614,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X1,X0))
      | is_a_theorem(equiv(X0,X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[],[f11542,f87]) ).

fof(f11739,plain,
    ! [X0] :
      ( is_a_theorem(equiv(not(not(X0)),X0))
      | ~ is_a_theorem(implies(not(not(X0)),X0)) ),
    inference(resolution,[],[f11614,f7090]) ).

fof(f11753,plain,
    ! [X0] : is_a_theorem(equiv(not(not(X0)),X0)),
    inference(forward_subsumption_resolution,[],[f11739,f7042]) ).

fof(f11772,plain,
    ! [X0] : not(not(X0)) = X0,
    inference(resolution,[],[f11753,f95]) ).

fof(f11807,plain,
    ! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
    inference(superposition,[],[f88,f11772]) ).

fof(f11812,plain,
    ! [X0,X1] : not(implies(X1,X0)) = and(X1,not(X0)),
    inference(superposition,[],[f97,f11772]) ).

fof(f12002,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
    inference(superposition,[],[f93,f11807]) ).

fof(f12014,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(or(X0,X1),X0))
      | ~ is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[],[f1191,f11807]) ).

fof(f25494,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(equiv(X1,or(X1,X0)))
      | ~ is_a_theorem(implies(X1,or(X1,X0))) ),
    inference(resolution,[],[f12014,f11614]) ).

fof(f25575,plain,
    ! [X0,X1] :
      ( is_a_theorem(equiv(X1,or(X1,X0)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(forward_subsumption_resolution,[],[f25494,f12002]) ).

fof(f25624,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | or(X1,X0) = X1 ),
    inference(resolution,[],[f25575,f95]) ).

fof(f25657,plain,
    ! [X0,X1] : or(X0,and(X1,X0)) = X0,
    inference(resolution,[],[f25624,f9028]) ).

fof(f25772,plain,
    ! [X0,X1] : or(X0,X1) = or(or(X0,X1),X0),
    inference(resolution,[],[f25624,f12002]) ).

fof(f26260,plain,
    ! [X0,X1] : not(X0) = implies(X0,and(X1,not(X0))),
    inference(superposition,[],[f88,f25657]) ).

fof(f26272,plain,
    ! [X0,X1] : not(X0) = implies(X0,not(implies(X1,X0))),
    inference(forward_demodulation,[],[f26260,f11812]) ).

fof(f26303,plain,
    ! [X0,X1] : not(X1) = implies(X1,not(or(X0,X1))),
    inference(superposition,[],[f26272,f11807]) ).

fof(f27218,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X2),implies(not(or(X1,X0)),X2))),
    inference(superposition,[],[f4598,f26303]) ).

fof(f27525,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X2),or(or(X1,X0),X2))),
    inference(forward_demodulation,[],[f27218,f11807]) ).

fof(f27624,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(or(X0,X2),or(or(X1,X0),X2))),
    inference(forward_demodulation,[],[f27525,f11807]) ).

fof(f38566,plain,
    ! [X0,X1] : is_a_theorem(implies(or(X1,X0),or(X0,X1))),
    inference(superposition,[],[f27624,f25772]) ).

fof(f38588,plain,
    $false,
    inference(resolution,[],[f38566,f91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL477+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36  % Computer : n001.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 15:54:46 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.27/2.10  % (3747507)Detected formulas, will run a generic FOF schedule.
% 10.27/2.10  % (3747517)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3046352783:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.27/2.10  % (3747516)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1139919860:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.27/2.10  % (3747513)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=4259931622:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.27/2.10  % (3747518)dis-21_1_sil=8000:lcm=predicate:random_seed=2526961647:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.27/2.10  % (3747514)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=4023028569:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.27/2.10  % (3747512)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=4031654278:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.27/2.10  % (3747515)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1033840153:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.27/2.10  % (3747516)Refutation not found, incomplete strategy
% 10.27/2.10  % (3747516)------------------------------
% 10.27/2.10  % (3747516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.10  % (3747516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.10  % (3747515)Refutation not found, incomplete strategy
% 10.27/2.10  % (3747515)------------------------------
% 10.27/2.10  % (3747515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.10  % (3747516)CaDiCaL version: 2.1.3
% 10.27/2.10  % (3747516)Termination reason: Refutation not found, incomplete strategy
% 10.27/2.10  % (3747516)Time elapsed: 0.001 s
% 10.27/2.10  % (3747515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.10  % (3747516)Peak memory usage: 86 MB
% 10.27/2.10  % (3747515)CaDiCaL version: 2.1.3
% 10.27/2.10  % (3747515)Termination reason: Refutation not found, incomplete strategy
% 10.27/2.10  % (3747515)Time elapsed: 0.001 s
% 10.27/2.10  % (3747515)Peak memory usage: 86 MB
% 10.27/2.10  % (3747518)Refutation not found, incomplete strategy
% 10.27/2.10  % (3747518)------------------------------
% 10.27/2.10  % (3747518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.10  % (3747518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.10  % (3747518)CaDiCaL version: 2.1.3
% 10.27/2.10  % (3747518)Termination reason: Refutation not found, incomplete strategy
% 10.27/2.10  % (3747518)Time elapsed: 0.002 s
% 10.27/2.10  % (3747518)Peak memory usage: 88 MB
% 10.27/2.10  % (3747518)Instructions burned: 1 (million)
% 10.27/2.10  % (3747517)Instruction limit reached! 
% 10.27/2.10  % (3747517)------------------------------
% 10.27/2.10  % (3747517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.10  % (3747517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.10  % (3747517)CaDiCaL version: 2.1.3
% 10.27/2.10  % (3747517)Termination reason: Instruction limit
% 10.27/2.10  % (3747517)Termination phase: Saturation
% 10.27/2.10  % (3747517)Time elapsed: 0.049 s
% 10.27/2.10  % (3747517)Peak memory usage: 90 MB
% 10.27/2.10  % (3747517)Instructions burned: 141 (million)
% 10.27/2.10  % (3747526)lrs+10_1_sil=8000:sp=occurrence:random_seed=4075042773:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.27/2.10  % (3747526)Refutation not found, incomplete strategy
% 10.27/2.10  % (3747526)------------------------------
% 10.27/2.10  % (3747526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.10  % (3747526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.10  % (3747526)CaDiCaL version: 2.1.3
% 10.27/2.10  % (3747526)Termination reason: Refutation not found, incomplete strategy
% 10.27/2.10  % (3747526)Time elapsed: 0.0000 s
% 10.27/2.10  % (3747526)Peak memory usage: 87 MB
% 10.27/2.10  % (3747526)------------------------------
% 10.27/2.10  % (3747526)------------------------------
% 10.27/2.10  % (3747518)------------------------------
% 10.27/2.10  % (3747518)------------------------------
% 12.43/2.48  % (3747515)------------------------------
% 12.43/2.48  % (3747515)------------------------------
% 12.43/2.48  % (3747516)------------------------------
% 12.43/2.48  % (3747516)------------------------------
% 12.43/2.48  % (3747528)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3435186469:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.43/2.48  % (3747528)Refutation not found, incomplete strategy
% 12.43/2.48  % (3747528)------------------------------
% 12.43/2.48  % (3747528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.48  % (3747528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.48  % (3747528)CaDiCaL version: 2.1.3
% 12.43/2.48  % (3747528)Termination reason: Refutation not found, incomplete strategy
% 12.43/2.48  % (3747528)Time elapsed: 0.0000 s
% 12.43/2.48  % (3747528)Peak memory usage: 87 MB
% 12.43/2.48  % (3747529)lrs+1011_1_sil=32000:sp=occurrence:random_seed=678833343:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.43/2.48  % (3747529)Refutation not found, incomplete strategy
% 12.43/2.48  % (3747529)------------------------------
% 12.43/2.48  % (3747529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.48  % (3747529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.48  % (3747529)CaDiCaL version: 2.1.3
% 12.43/2.48  % (3747529)Termination reason: Refutation not found, incomplete strategy
% 12.43/2.48  % (3747529)Time elapsed: 0.001 s
% 12.43/2.48  % (3747529)Peak memory usage: 87 MB
% 12.43/2.48  % (3747531)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3098272685:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 12.43/2.48  % (3747530)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=84213033:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 12.43/2.48  % (3747531)Refutation not found, incomplete strategy
% 12.43/2.48  % (3747531)------------------------------
% 12.43/2.48  % (3747531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.48  % (3747531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.48  % (3747531)CaDiCaL version: 2.1.3
% 12.43/2.48  % (3747531)Termination reason: Refutation not found, incomplete strategy
% 12.43/2.48  % (3747531)Time elapsed: 0.001 s
% 12.43/2.48  % (3747531)Peak memory usage: 87 MB
% 12.43/2.48  % (3747528)------------------------------
% 12.43/2.48  % (3747528)------------------------------
% 12.43/2.48  % (3747530)Instruction limit reached! 
% 12.43/2.48  % (3747530)------------------------------
% 12.43/2.48  % (3747530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.48  % (3747530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.48  % (3747530)CaDiCaL version: 2.1.3
% 12.43/2.48  % (3747530)Termination reason: Instruction limit
% 12.43/2.48  % (3747530)Termination phase: Saturation
% 12.43/2.48  % (3747530)Time elapsed: 0.161 s
% 12.43/2.48  % (3747530)Peak memory usage: 92 MB
% 12.43/2.48  % (3747530)Instructions burned: 248 (million)
% 12.43/2.48  % (3747514)Refutation not found, incomplete strategy
% 12.43/2.48  % (3747514)------------------------------
% 12.43/2.48  % (3747514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.48  % (3747514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.48  % (3747514)CaDiCaL version: 2.1.3
% 12.43/2.48  % (3747514)Termination reason: Refutation not found, incomplete strategy
% 12.43/2.48  % (3747514)Time elapsed: 0.564 s
% 12.43/2.48  % (3747514)Peak memory usage: 126 MB
% 12.43/2.48  % (3747514)Instructions burned: 829 (million)
% 12.43/2.48  % (3747536)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3929303920:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.43/2.48  % (3747529)------------------------------
% 12.43/2.48  % (3747529)------------------------------
% 12.43/2.48  % (3747531)------------------------------
% 12.43/2.48  % (3747531)------------------------------
% 12.43/2.48  % (3747537)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3165084946:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.43/2.48  % (3747537)Refutation not found, incomplete strategy
% 12.43/2.48  % (3747537)------------------------------
% 12.43/2.48  % (3747537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.48  % (3747537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.65  % (3747537)CaDiCaL version: 2.1.3
% 13.25/2.65  % (3747537)Termination reason: Refutation not found, incomplete strategy
% 13.25/2.65  % (3747537)Time elapsed: 0.001 s
% 13.25/2.65  % (3747537)Peak memory usage: 88 MB
% 13.25/2.65  % (3747539)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3544062162:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.25/2.65  % (3747540)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3161140742:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 13.25/2.65  % (3747540)Refutation not found, incomplete strategy
% 13.25/2.65  % (3747540)------------------------------
% 13.25/2.65  % (3747540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.25/2.65  % (3747540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.65  % (3747540)CaDiCaL version: 2.1.3
% 13.25/2.65  % (3747540)Termination reason: Refutation not found, incomplete strategy
% 13.25/2.65  % (3747540)Time elapsed: 0.001 s
% 13.25/2.65  % (3747540)Peak memory usage: 87 MB
% 13.25/2.65  % (3747514)------------------------------
% 13.25/2.65  % (3747514)------------------------------
% 13.25/2.65  % (3747539)Instruction limit reached! 
% 13.25/2.65  % (3747539)------------------------------
% 13.25/2.65  % (3747539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.25/2.65  % (3747539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.65  % (3747539)CaDiCaL version: 2.1.3
% 13.25/2.65  % (3747539)Termination reason: Instruction limit
% 13.25/2.65  % (3747539)Termination phase: Saturation
% 13.25/2.65  % (3747539)Time elapsed: 0.074 s
% 13.25/2.65  % (3747539)Peak memory usage: 89 MB
% 13.25/2.65  % (3747539)Instructions burned: 128 (million)
% 13.25/2.65  % (3747537)------------------------------
% 13.25/2.65  % (3747537)------------------------------
% 13.25/2.65  % (3747544)lrs+10_1_sil=8000:sp=occurrence:random_seed=460256673:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 13.25/2.65  % (3747545)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1642393513:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 13.25/2.65  % (3747545)Refutation not found, incomplete strategy
% 13.25/2.65  % (3747545)------------------------------
% 13.25/2.65  % (3747545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.25/2.65  % (3747545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.65  % (3747545)CaDiCaL version: 2.1.3
% 13.25/2.65  % (3747545)Termination reason: Refutation not found, incomplete strategy
% 13.25/2.65  % (3747545)Time elapsed: 0.001 s
% 13.25/2.65  % (3747545)Peak memory usage: 88 MB
% 13.25/2.65  % (3747540)------------------------------
% 13.25/2.65  % (3747540)------------------------------
% 13.25/2.65  % (3747546)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2161711356:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 13.25/2.65  % (3747549)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2298910301:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 13.25/2.65  % (3747549)Refutation not found, incomplete strategy
% 13.25/2.65  % (3747549)------------------------------
% 13.25/2.65  % (3747549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.25/2.65  % (3747549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.65  % (3747549)CaDiCaL version: 2.1.3
% 13.25/2.65  % (3747549)Termination reason: Refutation not found, incomplete strategy
% 13.25/2.65  % (3747549)Time elapsed: 0.001 s
% 13.25/2.65  % (3747549)Peak memory usage: 89 MB
% 13.25/2.65  % (3747545)------------------------------
% 13.25/2.65  % (3747545)------------------------------
% 13.25/2.65  % (3747552)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2520303454:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 13.25/2.65  % (3747552)Refutation not found, incomplete strategy
% 13.25/2.65  % (3747552)------------------------------
% 13.25/2.65  % (3747552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.25/2.65  % (3747552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.65  % (3747552)CaDiCaL version: 2.1.3
% 13.25/2.65  % (3747552)Termination reason: Refutation not found, incomplete strategy
% 13.25/2.65  % (3747552)Time elapsed: 0.001 s
% 13.25/2.65  % (3747552)Peak memory usage: 88 MB
% 18.35/3.22  % (3747549)------------------------------
% 18.35/3.22  % (3747549)------------------------------
% 18.35/3.22  % (3747536)Instruction limit reached! 
% 18.35/3.22  % (3747536)------------------------------
% 18.35/3.22  % (3747536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.35/3.22  % (3747536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.22  % (3747536)CaDiCaL version: 2.1.3
% 18.35/3.22  % (3747536)Termination reason: Instruction limit
% 18.35/3.22  % (3747536)Termination phase: Saturation
% 18.35/3.22  % (3747536)Time elapsed: 0.821 s
% 18.35/3.22  % (3747536)Peak memory usage: 141 MB
% 18.35/3.22  % (3747536)Instructions burned: 2353 (million)
% 18.35/3.22  % (3747555)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=899841099:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 18.35/3.22  % (3747555)Refutation not found, incomplete strategy
% 18.35/3.22  % (3747555)------------------------------
% 18.35/3.22  % (3747555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.35/3.22  % (3747555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.22  % (3747555)CaDiCaL version: 2.1.3
% 18.35/3.22  % (3747555)Termination reason: Refutation not found, incomplete strategy
% 18.35/3.22  % (3747555)Time elapsed: 0.0000 s
% 18.35/3.22  % (3747555)Peak memory usage: 87 MB
% 18.35/3.22  % (3747544)Instruction limit reached! 
% 18.35/3.22  % (3747544)------------------------------
% 18.35/3.22  % (3747544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.35/3.22  % (3747544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.22  % (3747544)CaDiCaL version: 2.1.3
% 18.35/3.22  % (3747544)Termination reason: Instruction limit
% 18.35/3.22  % (3747544)Termination phase: Saturation
% 18.35/3.22  % (3747544)Time elapsed: 0.524 s
% 18.35/3.22  % (3747544)Peak memory usage: 102 MB
% 18.35/3.22  % (3747544)Instructions burned: 909 (million)
% 18.35/3.22  % (3747554)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2421942650:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 18.35/3.22  % (3747552)------------------------------
% 18.35/3.22  % (3747552)------------------------------
% 18.35/3.22  % (3747555)------------------------------
% 18.35/3.22  % (3747555)------------------------------
% 18.35/3.22  % (3747557)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2162238303:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 18.35/3.22  % (3747561)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1675472112:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 18.35/3.22  % (3747561)Refutation not found, incomplete strategy
% 18.35/3.22  % (3747561)------------------------------
% 18.35/3.22  % (3747561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.35/3.22  % (3747561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.22  % (3747561)CaDiCaL version: 2.1.3
% 18.35/3.22  % (3747561)Termination reason: Refutation not found, incomplete strategy
% 18.35/3.22  % (3747561)Time elapsed: 0.0000 s
% 18.35/3.22  % (3747561)Peak memory usage: 86 MB
% 18.35/3.22  % (3747557)Instruction limit reached! 
% 18.35/3.22  % (3747557)------------------------------
% 18.35/3.22  % (3747557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.35/3.22  % (3747557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.22  % (3747557)CaDiCaL version: 2.1.3
% 18.35/3.22  % (3747557)Termination reason: Instruction limit
% 18.35/3.22  % (3747557)Termination phase: Saturation
% 18.35/3.22  % (3747557)Time elapsed: 0.090 s
% 18.35/3.22  % (3747557)Peak memory usage: 89 MB
% 18.35/3.22  % (3747557)Instructions burned: 135 (million)
% 18.35/3.22  % (3747559)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=850908242:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 18.35/3.22  % (3747559)Refutation not found, incomplete strategy
% 18.35/3.22  % (3747559)------------------------------
% 18.35/3.22  % (3747559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.35/3.22  % (3747559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.22  % (3747559)CaDiCaL version: 2.1.3
% 18.35/3.22  % (3747559)Termination reason: Refutation not found, incomplete strategy
% 18.35/3.22  % (3747559)Time elapsed: 0.001 s
% 26.81/4.44  % (3747559)Peak memory usage: 87 MB
% 26.81/4.44  % (3747564)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=1852069436:i=6060:aac=none:ins=25_2981 on theBenchmark for (2981ds/6060Mi)
% 26.81/4.44  % (3747561)------------------------------
% 26.81/4.44  % (3747561)------------------------------
% 26.81/4.44  [W927 15:54:48.977788621 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  [W927 15:54:48.977832081 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  [W927 15:54:48.977868391 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  [W927 15:54:48.977879072 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  [W927 15:54:48.977905398 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  [W927 15:54:48.977916728 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  [W927 15:54:48.977943012 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  [W927 15:54:48.977954325 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  [W927 15:54:48.977979116 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  [W927 15:54:48.977990259 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  [W927 15:54:48.978027853 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  [W927 15:54:48.978039676 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.
% 26.81/4.44  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 26.81/4.44  % (3747566)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=404423088:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2979 on theBenchmark for (2979ds/150Mi)
% 26.81/4.44  % (3747559)------------------------------
% 26.81/4.44  % (3747559)------------------------------
% 26.81/4.44  % (3747566)Instruction limit reached! 
% 26.81/4.44  % (3747566)------------------------------
% 26.81/4.44  % (3747566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.81/4.44  % (3747566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.81/4.44  % (3747566)CaDiCaL version: 2.1.3
% 26.81/4.44  % (3747566)Termination reason: Instruction limit
% 26.81/4.44  % (3747566)Termination phase: Saturation
% 26.81/4.44  % (3747566)Time elapsed: 0.045 s
% 26.81/4.44  % (3747566)Peak memory usage: 90 MB
% 26.81/4.44  % (3747566)Instructions burned: 152 (million)
% 26.81/4.44  % (3747554)Refutation not found, incomplete strategy
% 26.81/4.44  % (3747554)------------------------------
% 26.81/4.44  % (3747554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.81/4.44  % (3747554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.81/4.44  % (3747554)CaDiCaL version: 2.1.3
% 26.81/4.44  % (3747554)Termination reason: Refutation not found, incomplete strategy
% 26.81/4.44  % (3747554)Time elapsed: 0.559 s
% 26.81/4.44  % (3747554)Peak memory usage: 126 MB
% 26.81/4.44  % (3747554)Instructions burned: 825 (million)
% 26.81/4.44  % (3747569)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1767697955:i=667:av=off:fsr=off_2978 on theBenchmark for (2978ds/667Mi)
% 26.81/4.44  % (3747569)Refutation not found, incomplete strategy
% 26.81/4.44  % (3747569)------------------------------
% 26.81/4.44  % (3747569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.81/4.44  % (3747569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.81/4.44  % (3747569)CaDiCaL version: 2.1.3
% 26.81/4.44  % (3747569)Termination reason: Refutation not found, incomplete strategy
% 26.81/4.44  % (3747569)Time elapsed: 0.001 s
% 26.81/4.44  % (3747569)Peak memory usage: 88 MB
% 26.81/4.44  % (3747568)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1161473281:i=14155:bd=all_2978 on theBenchmark for (2978ds/14155Mi)
% 26.81/4.44  % (3747569)------------------------------
% 26.81/4.44  % (3747569)------------------------------
% 26.81/4.44  % (3747554)------------------------------
% 26.81/4.44  % (3747554)------------------------------
% 26.81/4.44  % (3747572)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=3427243671:s2a=on:i=185:s2at=1.8:fdi=4_2976 on theBenchmark for (2976ds/185Mi)
% 26.81/4.44  % (3747572)Instruction limit reached! 
% 26.81/4.44  % (3747572)------------------------------
% 26.81/4.44  % (3747572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.81/4.44  % (3747572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.81/4.44  % (3747572)CaDiCaL version: 2.1.3
% 26.81/4.44  % (3747572)Termination reason: Instruction limit
% 26.81/4.44  % (3747572)Termination phase: Saturation
% 26.81/4.44  % (3747572)Time elapsed: 0.059 s
% 26.81/4.44  % (3747572)Peak memory usage: 91 MB
% 26.81/4.44  % (3747572)Instructions burned: 185 (million)
% 26.81/4.44  % (3747573)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=410805764:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2975 on theBenchmark for (2975ds/193Mi)
% 26.81/4.44  % (3747573)Refutation not found, incomplete strategy
% 26.81/4.44  % (3747573)------------------------------
% 26.81/4.44  % (3747573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.81/4.44  % (3747573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.81/4.44  % (3747573)CaDiCaL version: 2.1.3
% 26.81/4.44  % (3747573)Termination reason: Refutation not found, incomplete strategy
% 26.81/4.44  % (3747573)Time elapsed: 0.001 s
% 26.81/4.44  % (3747573)Peak memory usage: 86 MB
% 26.81/4.44  % (3747575)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1010425938:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2974 on theBenchmark for (2974ds/4850Mi)
% 26.81/4.44  % (3747575)Refutation not found, incomplete strategy
% 26.81/4.44  % (3747575)------------------------------
% 26.81/4.44  % (3747575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.81/4.44  % (3747575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.81/4.44  % (3747575)CaDiCaL version: 2.1.3
% 26.81/4.44  % (3747575)Termination reason: Refutation not found, incomplete strategy
% 26.81/4.44  % (3747575)Time elapsed: 0.001 s
% 26.81/4.44  % (3747575)Peak memory usage: 88 MB
% 26.81/4.44  % (3747575)------------------------------
% 26.81/4.44  % (3747575)------------------------------
% 26.81/4.44  % (3747573)------------------------------
% 26.81/4.44  % (3747573)------------------------------
% 26.81/4.44  % (3747578)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3950570562:i=12111:sd=1:ss=included_2972 on theBenchmark for (2972ds/12111Mi)
% 26.81/4.44  % (3747580)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1163575415:i=319:kws=precedence:fsr=off_2971 on theBenchmark for (2971ds/319Mi)
% 26.81/4.44  % (3747580)Instruction limit reached! 
% 26.81/4.44  % (3747580)------------------------------
% 26.81/4.44  % (3747580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.81/4.44  % (3747580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.81/4.44  % (3747580)CaDiCaL version: 2.1.3
% 26.81/4.44  % (3747580)Termination reason: Instruction limit
% 26.81/4.44  % (3747580)Termination phase: Saturation
% 26.81/4.44  % (3747580)Time elapsed: 0.204 s
% 26.81/4.44  % (3747580)Peak memory usage: 94 MB
% 26.81/4.44  % (3747580)Instructions burned: 320 (million)
% 26.81/4.44  % (3747582)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=949161805:i=2064:ep=RST_2968 on theBenchmark for (2968ds/2064Mi)
% 26.81/4.44  % (3747582)Refutation not found, incomplete strategy
% 26.81/4.44  % (3747582)------------------------------
% 26.81/4.44  % (3747582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.81/4.44  % (3747582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.81/4.44  % (3747582)CaDiCaL version: 2.1.3
% 26.81/4.44  % (3747582)Termination reason: Refutation not found, incomplete strategy
% 26.81/4.44  % (3747582)Time elapsed: 0.001 s
% 26.81/4.44  % (3747582)Peak memory usage: 88 MB
% 26.81/4.44  % (3747582)Instructions burned: 1 (million)
% 26.81/4.44  % (3747512)First to succeed.
% 26.81/4.44  % (3747512)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3747507"
% 26.81/4.44  % (3747582)------------------------------
% 26.81/4.44  % (3747582)------------------------------
% 26.81/4.44  % (3747584)dis-1011_128_sil=32000:random_seed=1435108433:i=3706:ep=RST:av=off_2964 on theBenchmark for (2964ds/3706Mi)
% 26.81/4.44  % (3747512)Refutation found. Thanks to Tanya!
% 26.81/4.44  % SZS status Theorem for theBenchmark
% 26.81/4.44  % SZS output start Proof for theBenchmark
% See solution above
% 27.47/4.63  % (3747512)------------------------------
% 27.47/4.63  % (3747512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.47/4.63  % (3747512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/4.63  % (3747512)CaDiCaL version: 2.1.3
% 27.47/4.63  % (3747512)Termination reason: Refutation
% 27.47/4.63  % (3747512)Time elapsed: 3.409 s
% 27.47/4.63  % (3747512)Peak memory usage: 164 MB
% 27.47/4.63  % (3747512)Instructions burned: 5389 (million)
% 27.47/4.63  % (3747512)------------------------------
% 27.47/4.63  % (3747512)------------------------------
% 27.47/4.63  % (3747507)Success in time 3.831 s
% 27.47/4.63  % Vampire exiting
%------------------------------------------------------------------------------