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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : HAL004+1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 10:18:54 AM UTC 2026

% Result   : Theorem 69.55s 10.39s
% Output   : Refutation 69.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  110 (  27 unt;   8 def)
%            Number of atoms       :  300 (  56 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  353 ( 163   ~; 153   |;  21   &)
%                                         (   8 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-4 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-3 aty)
%            Number of variables   :  116 (   0 sgn 108   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( morphism(X0,X1,X2)
     => ( ! [X3] :
            ( element(X3,X1)
           => element(apply(X0,X3),X2) )
        & apply(X0,zero(X1)) = zero(X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax',morphism) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( ( surjection(X0)
        & morphism(X0,X1,X2) )
     => ! [X3] :
          ( element(X3,X2)
         => ? [X4] :
              ( element(X4,X1)
              & apply(X0,X4) = X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax',surjection_properties) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( commute(X0,X1,X2,X3)
        & morphism(X0,X4,X5)
        & morphism(X1,X5,X7)
        & morphism(X2,X4,X6)
        & morphism(X3,X6,X7) )
     => ! [X8] :
          ( element(X8,X4)
         => apply(X1,apply(X0,X8)) = apply(X3,apply(X2,X8)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax',commute_properties) ).

fof(f15,axiom,
    morphism(beta,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta_morphism) ).

fof(f17,axiom,
    morphism(delta,e,r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',delta_morphism) ).

fof(f19,axiom,
    morphism(g,b,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_morphism) ).

fof(f20,axiom,
    morphism(h,c,r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_morphism) ).

fof(f23,axiom,
    surjection(beta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta_surjection) ).

fof(f28,axiom,
    commute(beta,h,g,delta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta_h_g_delta_commute) ).

fof(f30,axiom,
    surjection(h),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_surjection) ).

fof(f31,conjecture,
    ! [X0] :
      ( element(X0,e)
     => ? [X1,X2] :
          ( element(X1,r)
          & apply(delta,X0) = X1
          & element(X2,b)
          & apply(h,apply(beta,X2)) = X1
          & apply(delta,apply(g,X2)) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma3) ).

fof(f32,negated_conjecture,
    ~ ! [X0] :
        ( element(X0,e)
       => ? [X1,X2] :
            ( element(X1,r)
            & apply(delta,X0) = X1
            & element(X2,b)
            & apply(h,apply(beta,X2)) = X1
            & apply(delta,apply(g,X2)) = X1 ) ),
    inference(negated_conjecture,[status(cth)],[f31]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( element(apply(X0,X3),X2)
            | ~ element(X3,X1) )
        & apply(X0,zero(X1)) = zero(X2) )
      | ~ morphism(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ? [X4] :
              ( element(X4,X1)
              & apply(X0,X4) = X3 )
          | ~ element(X3,X2) )
      | ~ surjection(X0)
      | ~ morphism(X0,X1,X2) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ? [X4] :
              ( element(X4,X1)
              & apply(X0,X4) = X3 )
          | ~ element(X3,X2) )
      | ~ surjection(X0)
      | ~ morphism(X0,X1,X2) ),
    inference(flattening,[],[f38]) ).

fof(f46,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ! [X8] :
          ( apply(X1,apply(X0,X8)) = apply(X3,apply(X2,X8))
          | ~ element(X8,X4) )
      | ~ commute(X0,X1,X2,X3)
      | ~ morphism(X0,X4,X5)
      | ~ morphism(X1,X5,X7)
      | ~ morphism(X2,X4,X6)
      | ~ morphism(X3,X6,X7) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ! [X8] :
          ( apply(X1,apply(X0,X8)) = apply(X3,apply(X2,X8))
          | ~ element(X8,X4) )
      | ~ commute(X0,X1,X2,X3)
      | ~ morphism(X0,X4,X5)
      | ~ morphism(X1,X5,X7)
      | ~ morphism(X2,X4,X6)
      | ~ morphism(X3,X6,X7) ),
    inference(flattening,[],[f46]) ).

fof(f57,plain,
    ? [X0] :
      ( ! [X1,X2] :
          ( ~ element(X1,r)
          | apply(delta,X0) != X1
          | ~ element(X2,b)
          | apply(h,apply(beta,X2)) != X1
          | apply(delta,apply(g,X2)) != X1 )
      & element(X0,e) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( element(sK2(X0,X1,X3),X1)
            & apply(X0,sK2(X0,X1,X3)) = X3 )
          | ~ element(X3,X2) )
      | ~ surjection(X0)
      | ~ morphism(X0,X1,X2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X4,sK2(X0,X1,X3))],[f39]) ).

fof(f70,plain,
    ( ! [X1,X2] :
        ( ~ element(X1,r)
        | apply(delta,sK8) != X1
        | ~ element(X2,b)
        | apply(h,apply(beta,X2)) != X1
        | apply(delta,apply(g,X2)) != X1 )
    & element(sK8,e) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X0,sK8)],[f57]) ).

fof(f72,plain,
    ! [X2,X3,X0,X1] :
      ( ~ morphism(X0,X1,X2)
      | ~ element(X3,X1)
      | element(apply(X0,X3),X2) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f78,plain,
    ! [X2,X3,X0,X1] :
      ( ~ morphism(X0,X1,X2)
      | ~ element(X3,X2)
      | ~ surjection(X0)
      | apply(X0,sK2(X0,X1,X3)) = X3 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f79,plain,
    ! [X2,X3,X0,X1] :
      ( ~ morphism(X0,X1,X2)
      | ~ element(X3,X2)
      | ~ surjection(X0)
      | element(sK2(X0,X1,X3),X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f91,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ commute(X0,X1,X2,X3)
      | ~ element(X8,X4)
      | apply(X1,apply(X0,X8)) = apply(X3,apply(X2,X8))
      | ~ morphism(X0,X4,X5)
      | ~ morphism(X1,X5,X7)
      | ~ morphism(X2,X4,X6)
      | ~ morphism(X3,X6,X7) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f99,plain,
    morphism(beta,b,c),
    inference(cnf_transformation,[],[f15]) ).

fof(f101,plain,
    morphism(delta,e,r),
    inference(cnf_transformation,[],[f17]) ).

fof(f103,plain,
    morphism(g,b,e),
    inference(cnf_transformation,[],[f19]) ).

fof(f104,plain,
    morphism(h,c,r),
    inference(cnf_transformation,[],[f20]) ).

fof(f107,plain,
    surjection(beta),
    inference(cnf_transformation,[],[f23]) ).

fof(f112,plain,
    commute(beta,h,g,delta),
    inference(cnf_transformation,[],[f28]) ).

fof(f114,plain,
    surjection(h),
    inference(cnf_transformation,[],[f30]) ).

fof(f115,plain,
    element(sK8,e),
    inference(cnf_transformation,[],[f70]) ).

fof(f116,plain,
    ! [X2,X1] :
      ( ~ element(X1,r)
      | apply(delta,sK8) != X1
      | ~ element(X2,b)
      | apply(h,apply(beta,X2)) != X1
      | apply(delta,apply(g,X2)) != X1 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f119,plain,
    ! [X2] :
      ( ~ element(apply(delta,sK8),r)
      | ~ element(X2,b)
      | apply(h,apply(beta,X2)) != apply(delta,sK8)
      | apply(delta,apply(g,X2)) != apply(delta,sK8) ),
    inference(equality_resolution,[],[f116]) ).

fof(f121,definition,
    ( spl9_1
  <=> ! [X2] :
        ( ~ element(X2,b)
        | apply(delta,apply(g,X2)) != apply(delta,sK8)
        | apply(h,apply(beta,X2)) != apply(delta,sK8) ) ),
    introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).

fof(f122,plain,
    ( ! [X2] :
        ( ~ element(X2,b)
        | apply(delta,apply(g,X2)) != apply(delta,sK8)
        | apply(h,apply(beta,X2)) != apply(delta,sK8) )
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f124,definition,
    ( spl9_2
  <=> element(apply(delta,sK8),r) ),
    introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).

fof(f125,plain,
    ( element(apply(delta,sK8),r)
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f126,plain,
    ( ~ element(apply(delta,sK8),r)
    | spl9_2 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f127,plain,
    ( spl9_1
    | ~ spl9_2 ),
    inference(avatar_split_clause,[],[f119,f124,f121]) ).

fof(f224,plain,
    ! [X0] :
      ( element(apply(delta,X0),r)
      | ~ element(X0,e) ),
    inference(resolution,[],[f72,f101]) ).

fof(f258,plain,
    ! [X0] :
      ( ~ element(X0,c)
      | ~ surjection(beta)
      | element(sK2(beta,b,X0),b) ),
    inference(resolution,[],[f79,f99]) ).

fof(f263,plain,
    ! [X0] :
      ( ~ element(X0,r)
      | ~ surjection(h)
      | element(sK2(h,c,X0),c) ),
    inference(resolution,[],[f79,f104]) ).

fof(f264,plain,
    ! [X0] :
      ( element(sK2(h,c,X0),c)
      | ~ element(X0,r) ),
    inference(forward_subsumption_resolution,[],[f263,f114]) ).

fof(f283,plain,
    ! [X0] :
      ( element(sK2(beta,b,X0),b)
      | ~ element(X0,c) ),
    inference(forward_subsumption_resolution,[],[f258,f107]) ).

fof(f325,plain,
    ! [X0] :
      ( ~ element(X0,c)
      | ~ surjection(beta)
      | apply(beta,sK2(beta,b,X0)) = X0 ),
    inference(resolution,[],[f78,f99]) ).

fof(f330,plain,
    ! [X0] :
      ( ~ element(X0,r)
      | ~ surjection(h)
      | apply(h,sK2(h,c,X0)) = X0 ),
    inference(resolution,[],[f78,f104]) ).

fof(f331,plain,
    ! [X0] :
      ( ~ element(X0,r)
      | apply(h,sK2(h,c,X0)) = X0 ),
    inference(forward_subsumption_resolution,[],[f330,f114]) ).

fof(f342,plain,
    ! [X0] :
      ( ~ element(X0,c)
      | apply(beta,sK2(beta,b,X0)) = X0 ),
    inference(forward_subsumption_resolution,[],[f325,f107]) ).

fof(f420,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ morphism(delta,X4,X3)
      | apply(h,apply(beta,X0)) = apply(delta,apply(g,X0))
      | ~ morphism(beta,X1,X2)
      | ~ morphism(h,X2,X3)
      | ~ morphism(g,X1,X4)
      | ~ element(X0,X1) ),
    inference(resolution,[],[f91,f112]) ).

fof(f881,plain,
    ! [X0] :
      ( ~ element(X0,r)
      | sK2(h,c,X0) = apply(beta,sK2(beta,b,sK2(h,c,X0))) ),
    inference(resolution,[],[f342,f264]) ).

fof(f1587,plain,
    ! [X2,X0,X1] :
      ( ~ morphism(g,X1,e)
      | ~ morphism(beta,X1,X2)
      | ~ morphism(h,X2,r)
      | apply(h,apply(beta,X0)) = apply(delta,apply(g,X0))
      | ~ element(X0,X1) ),
    inference(resolution,[],[f420,f101]) ).

fof(f9765,plain,
    ! [X0,X1] :
      ( ~ morphism(beta,b,X0)
      | ~ morphism(h,X0,r)
      | apply(delta,apply(g,X1)) = apply(h,apply(beta,X1))
      | ~ element(X1,b) ),
    inference(resolution,[],[f1587,f103]) ).

fof(f9767,definition,
    ( spl9_345
  <=> ! [X1] :
        ( apply(delta,apply(g,X1)) = apply(h,apply(beta,X1))
        | ~ element(X1,b) ) ),
    introduced(definition,[new_symbols(definition,[spl9_345])],[avatar_definition]) ).

fof(f9768,plain,
    ( ! [X1] :
        ( ~ element(X1,b)
        | apply(delta,apply(g,X1)) = apply(h,apply(beta,X1)) )
    | ~ spl9_345 ),
    inference(avatar_component_clause,[],[f9767]) ).

fof(f9770,definition,
    ( spl9_346
  <=> ! [X0] :
        ( ~ morphism(beta,b,X0)
        | ~ morphism(h,X0,r) ) ),
    introduced(definition,[new_symbols(definition,[spl9_346])],[avatar_definition]) ).

fof(f9771,plain,
    ( ! [X0] :
        ( ~ morphism(h,X0,r)
        | ~ morphism(beta,b,X0) )
    | ~ spl9_346 ),
    inference(avatar_component_clause,[],[f9770]) ).

fof(f9772,plain,
    ( spl9_345
    | spl9_346 ),
    inference(avatar_split_clause,[],[f9765,f9770,f9767]) ).

fof(f15070,definition,
    ( spl9_387
  <=> element(sK2(beta,b,sK2(h,c,apply(delta,sK8))),b) ),
    introduced(definition,[new_symbols(definition,[spl9_387])],[avatar_definition]) ).

fof(f15071,plain,
    ( element(sK2(beta,b,sK2(h,c,apply(delta,sK8))),b)
    | ~ spl9_387 ),
    inference(avatar_component_clause,[],[f15070]) ).

fof(f15072,plain,
    ( ~ element(sK2(beta,b,sK2(h,c,apply(delta,sK8))),b)
    | spl9_387 ),
    inference(avatar_component_clause,[],[f15070]) ).

fof(f15074,definition,
    ( spl9_388
  <=> element(sK2(h,c,apply(delta,sK8)),c) ),
    introduced(definition,[new_symbols(definition,[spl9_388])],[avatar_definition]) ).

fof(f15075,plain,
    ( ~ element(sK2(h,c,apply(delta,sK8)),c)
    | spl9_388 ),
    inference(avatar_component_clause,[],[f15074]) ).

fof(f15076,plain,
    ( element(sK2(h,c,apply(delta,sK8)),c)
    | ~ spl9_388 ),
    inference(avatar_component_clause,[],[f15074]) ).

fof(f16201,plain,
    ( ~ element(sK8,e)
    | spl9_2 ),
    inference(resolution,[],[f126,f224]) ).

fof(f16202,plain,
    ( $false
    | spl9_2 ),
    inference(forward_subsumption_resolution,[],[f16201,f115]) ).

fof(f16203,plain,
    spl9_2,
    inference(avatar_contradiction_clause,[],[f16202]) ).

fof(f16209,plain,
    ( apply(delta,sK8) = apply(h,sK2(h,c,apply(delta,sK8)))
    | ~ spl9_2 ),
    inference(resolution,[],[f125,f331]) ).

fof(f16219,plain,
    ( sK2(h,c,apply(delta,sK8)) = apply(beta,sK2(beta,b,sK2(h,c,apply(delta,sK8))))
    | ~ spl9_2 ),
    inference(resolution,[],[f125,f881]) ).

fof(f16236,plain,
    ( ! [X0] :
        ( ~ element(X0,c)
        | apply(delta,sK8) != apply(h,apply(beta,sK2(beta,b,X0)))
        | apply(delta,sK8) != apply(delta,apply(g,sK2(beta,b,X0))) )
    | ~ spl9_1 ),
    inference(resolution,[],[f122,f283]) ).

fof(f16399,plain,
    ( ~ element(apply(delta,sK8),r)
    | spl9_388 ),
    inference(resolution,[],[f15075,f264]) ).

fof(f16400,plain,
    ( $false
    | ~ spl9_2
    | spl9_388 ),
    inference(forward_subsumption_resolution,[],[f16399,f125]) ).

fof(f16401,plain,
    ( ~ spl9_2
    | spl9_388 ),
    inference(avatar_contradiction_clause,[],[f16400]) ).

fof(f16747,plain,
    ( apply(delta,sK8) != apply(h,apply(beta,sK2(beta,b,sK2(h,c,apply(delta,sK8)))))
    | apply(delta,sK8) != apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK8)))))
    | ~ spl9_1
    | ~ spl9_388 ),
    inference(resolution,[],[f16236,f15076]) ).

fof(f16767,definition,
    ( spl9_449
  <=> apply(delta,sK8) = apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK8))))) ),
    introduced(definition,[new_symbols(definition,[spl9_449])],[avatar_definition]) ).

fof(f16769,plain,
    ( apply(delta,sK8) != apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK8)))))
    | spl9_449 ),
    inference(avatar_component_clause,[],[f16767]) ).

fof(f16771,definition,
    ( spl9_450
  <=> apply(delta,sK8) = apply(h,apply(beta,sK2(beta,b,sK2(h,c,apply(delta,sK8))))) ),
    introduced(definition,[new_symbols(definition,[spl9_450])],[avatar_definition]) ).

fof(f16773,plain,
    ( apply(delta,sK8) != apply(h,apply(beta,sK2(beta,b,sK2(h,c,apply(delta,sK8)))))
    | spl9_450 ),
    inference(avatar_component_clause,[],[f16771]) ).

fof(f16774,plain,
    ( ~ spl9_449
    | ~ spl9_450
    | ~ spl9_1
    | ~ spl9_388 ),
    inference(avatar_split_clause,[],[f16747,f15074,f121,f16771,f16767]) ).

fof(f17042,plain,
    ( ~ element(sK2(h,c,apply(delta,sK8)),c)
    | spl9_387 ),
    inference(resolution,[],[f15072,f283]) ).

fof(f17043,plain,
    ( $false
    | spl9_387
    | ~ spl9_388 ),
    inference(forward_subsumption_resolution,[],[f17042,f15076]) ).

fof(f17044,plain,
    ( spl9_387
    | ~ spl9_388 ),
    inference(avatar_contradiction_clause,[],[f17043]) ).

fof(f27441,plain,
    ( apply(delta,sK8) != apply(h,sK2(h,c,apply(delta,sK8)))
    | ~ spl9_2
    | spl9_450 ),
    inference(forward_demodulation,[],[f16773,f16219]) ).

fof(f27480,plain,
    ( $false
    | ~ spl9_2
    | spl9_450 ),
    inference(forward_subsumption_resolution,[],[f27441,f16209]) ).

fof(f27481,plain,
    ( ~ spl9_2
    | spl9_450 ),
    inference(avatar_contradiction_clause,[],[f27480]) ).

fof(f45595,plain,
    ( ~ morphism(beta,b,c)
    | ~ spl9_346 ),
    inference(resolution,[],[f9771,f104]) ).

fof(f45596,plain,
    ( $false
    | ~ spl9_346 ),
    inference(forward_subsumption_resolution,[],[f45595,f99]) ).

fof(f45597,plain,
    ~ spl9_346,
    inference(avatar_contradiction_clause,[],[f45596]) ).

fof(f45743,plain,
    ( apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK8))))) = apply(h,apply(beta,sK2(beta,b,sK2(h,c,apply(delta,sK8)))))
    | ~ spl9_345
    | ~ spl9_387 ),
    inference(resolution,[],[f9768,f15071]) ).

fof(f45798,plain,
    ( apply(h,sK2(h,c,apply(delta,sK8))) = apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK8)))))
    | ~ spl9_2
    | ~ spl9_345
    | ~ spl9_387 ),
    inference(forward_demodulation,[],[f45743,f16219]) ).

fof(f45803,plain,
    ( apply(delta,sK8) = apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK8)))))
    | ~ spl9_2
    | ~ spl9_345
    | ~ spl9_387 ),
    inference(forward_demodulation,[],[f45798,f16209]) ).

fof(f45807,plain,
    ( $false
    | ~ spl9_2
    | ~ spl9_345
    | ~ spl9_387
    | spl9_449 ),
    inference(forward_subsumption_resolution,[],[f45803,f16769]) ).

fof(f45808,plain,
    ( ~ spl9_2
    | ~ spl9_345
    | ~ spl9_387
    | spl9_449 ),
    inference(avatar_contradiction_clause,[],[f45807]) ).

cnf(s1,plain,
    ( spl9_1
    | ~ spl9_2 ),
    inference(sat_conversion,[],[f127]) ).

cnf(s232,plain,
    ( spl9_345
    | spl9_346 ),
    inference(sat_conversion,[],[f9772]) ).

cnf(s392,plain,
    spl9_2,
    inference(sat_conversion,[],[f16203]) ).

cnf(s405,plain,
    ( ~ spl9_2
    | spl9_388 ),
    inference(sat_conversion,[],[f16401]) ).

cnf(s415,plain,
    ( ~ spl9_1
    | ~ spl9_388
    | ~ spl9_449
    | ~ spl9_450 ),
    inference(sat_conversion,[],[f16774]) ).

cnf(s416,plain,
    ( spl9_387
    | ~ spl9_388 ),
    inference(sat_conversion,[],[f17044]) ).

cnf(s646,plain,
    ( ~ spl9_2
    | spl9_450 ),
    inference(sat_conversion,[],[f27481]) ).

cnf(s985,plain,
    ~ spl9_346,
    inference(sat_conversion,[],[f45597]) ).

cnf(s987,plain,
    ( ~ spl9_2
    | ~ spl9_345
    | ~ spl9_387
    | spl9_449 ),
    inference(sat_conversion,[],[f45808]) ).

cnf(s999,plain,
    spl9_450,
    inference(rat,[],[s646,s392]) ).

cnf(s1001,plain,
    spl9_388,
    inference(rat,[],[s405,s392]) ).

cnf(s1003,plain,
    spl9_387,
    inference(rat,[],[s416,s1001]) ).

cnf(s1035,plain,
    spl9_345,
    inference(rat,[],[s232,s985]) ).

cnf(s1036,plain,
    spl9_449,
    inference(rat,[],[s987,s1003,s392,s1035]) ).

cnf(s1037,plain,
    ~ spl9_1,
    inference(rat,[],[s415,s999,s1001,s1036]) ).

cnf(s1072,plain,
    $false,
    inference(rat,[],[s1,s392,s1037]) ).

fof(f45815,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1072]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : HAL004+1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.19/0.47  % Computer : n011.cluster.edu
% 0.19/0.47  % Model    : x86_64 x86_64
% 0.19/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.47  % Memory   : 8046.5625MB
% 0.19/0.47  % OS       : Linux 6.8.0-71-generic
% 0.19/0.47  % CPULimit : 300
% 0.19/0.47  % WCLimit  : 300
% 0.19/0.47  % DateTime : Sun Sep 27 10:48:45 UTC 2026
% 0.19/0.47  % CPUTime  : 
% 0.19/0.47  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.52  Running first-order model finding
% 0.25/0.52  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.03/3.15  % (2212735)Will run a generic schedule for satisfiability detection.
% 18.03/3.15  % (2212743)dis+10_1_sil=32000:sp=arity:random_seed=1545411729:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 18.03/3.15  % (2212741)% WARNING: option uhcvi not known.
% 18.03/3.15  % (2212741)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2484577533:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 18.03/3.15  % (2212740)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1510350160_2999 on theBenchmark for (2999ds/0Mi)
% 18.03/3.15  % (2212744)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=552570079:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 18.03/3.15  % (2212746)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=796540853:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 18.03/3.15  % (2212742)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3597856649:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 18.03/3.15  % (2212745)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1970768583:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 18.03/3.15  % TRYING [1]
% 18.03/3.15  % TRYING [2]
% 18.03/3.15  % TRYING [3]
% 18.03/3.15  % (2212743)Instruction limit reached! 
% 18.03/3.15  % (2212743)------------------------------
% 18.03/3.15  % (2212743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.03/3.15  % (2212743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.03/3.15  % (2212743)CaDiCaL version: 2.1.3
% 18.03/3.15  % (2212743)Termination reason: Instruction limit
% 18.03/3.15  % (2212743)Termination phase: Saturation
% 18.03/3.15  % (2212743)Time elapsed: 0.054 s
% 18.03/3.15  % (2212743)Peak memory usage: 12 MB
% 18.03/3.15  % (2212743)Instructions burned: 105 (million)
% 18.03/3.15  % (2212754)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3103314949:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 18.03/3.15  % TRYING [1]
% 18.03/3.15  % TRYING [2]
% 18.03/3.15  % TRYING [3]
% 18.03/3.15  % (2212744)Instruction limit reached! 
% 18.03/3.15  % (2212744)------------------------------
% 18.03/3.15  % (2212744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.03/3.15  % (2212744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.03/3.15  % (2212744)CaDiCaL version: 2.1.3
% 18.03/3.15  % (2212744)Termination reason: Instruction limit
% 18.03/3.15  % (2212744)Termination phase: Saturation
% 18.03/3.15  % (2212744)Time elapsed: 0.116 s
% 18.03/3.15  % (2212744)Peak memory usage: 13 MB
% 18.03/3.15  % (2212744)Instructions burned: 117 (million)
% 18.03/3.15  % (2212745)Instruction limit reached! 
% 18.03/3.15  % (2212745)------------------------------
% 18.03/3.15  % (2212745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.03/3.15  % (2212745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.03/3.15  % (2212745)CaDiCaL version: 2.1.3
% 18.03/3.15  % (2212745)Termination reason: Instruction limit
% 18.03/3.15  % (2212745)Termination phase: Saturation
% 18.03/3.15  % (2212745)Time elapsed: 0.137 s
% 18.03/3.15  % (2212745)Peak memory usage: 13 MB
% 18.03/3.15  % (2212745)Instructions burned: 131 (million)
% 18.03/3.15  % (2212746)Instruction limit reached! 
% 18.03/3.15  % (2212746)------------------------------
% 18.03/3.15  % (2212746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.03/3.15  % (2212746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.03/3.15  % (2212746)CaDiCaL version: 2.1.3
% 18.03/3.15  % (2212746)Termination reason: Instruction limit
% 18.03/3.15  % (2212746)Termination phase: Saturation
% 18.03/3.15  % (2212746)Time elapsed: 0.156 s
% 18.03/3.15  % (2212746)Peak memory usage: 14 MB
% 18.03/3.15  % (2212746)Instructions burned: 159 (million)
% 18.03/3.15  % (2212756)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2459410272:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 18.03/3.15  % (2212757)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3097626355:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 18.03/3.15  % (2212758)ott-21_1_sil=16000:fs=off:random_seed=1936701334:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 18.03/3.15  % (2212756)Instruction limit reached! 
% 18.03/3.15  % (2212756)------------------------------
% 18.03/3.15  % (2212756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.03/3.15  % (2212756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.20/8.59  % (2212756)CaDiCaL version: 2.1.3
% 50.20/8.59  % (2212756)Termination reason: Instruction limit
% 50.20/8.59  % (2212756)Termination phase: Saturation
% 50.20/8.59  % (2212756)Time elapsed: 0.129 s
% 50.20/8.59  % (2212756)Peak memory usage: 13 MB
% 50.20/8.59  % (2212756)Instructions burned: 132 (million)
% 50.20/8.59  % (2212762)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3699903673:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 50.20/8.59  % (2212758)Instruction limit reached! 
% 50.20/8.59  % (2212758)------------------------------
% 50.20/8.59  % (2212758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.20/8.59  % (2212758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.20/8.59  % (2212758)CaDiCaL version: 2.1.3
% 50.20/8.59  % (2212758)Termination reason: Instruction limit
% 50.20/8.59  % (2212758)Termination phase: Saturation
% 50.20/8.59  % (2212758)Time elapsed: 0.153 s
% 50.20/8.59  % (2212758)Peak memory usage: 13 MB
% 50.20/8.59  % (2212758)Instructions burned: 181 (million)
% 50.20/8.59  % (2212764)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3592261854:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 50.20/8.59  % (2212754)Instruction limit reached! 
% 50.20/8.59  % (2212754)------------------------------
% 50.20/8.59  % (2212754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.20/8.59  % (2212754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.20/8.59  % (2212754)CaDiCaL version: 2.1.3
% 50.20/8.59  % (2212754)Termination reason: Instruction limit
% 50.20/8.59  % (2212754)Termination phase: Finite model building SAT solving
% 50.20/8.59  % (2212754)Time elapsed: 0.333 s
% 50.20/8.59  % (2212754)Peak memory usage: 21 MB
% 50.20/8.59  % (2212754)Instructions burned: 715 (million)
% 50.20/8.59  % TRYING [1]
% 50.20/8.59  % TRYING [2]
% 50.20/8.59  % (2212766)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=860346721:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 50.20/8.59  % TRYING [3]
% 50.20/8.59  % (2212757)Instruction limit reached! 
% 50.20/8.59  % (2212757)------------------------------
% 50.20/8.59  % (2212757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.20/8.59  % (2212757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.20/8.59  % (2212757)CaDiCaL version: 2.1.3
% 50.20/8.59  % (2212757)Termination reason: Instruction limit
% 50.20/8.59  % (2212757)Termination phase: Saturation
% 50.20/8.59  % (2212757)Time elapsed: 0.546 s
% 50.20/8.59  % (2212757)Peak memory usage: 16 MB
% 50.20/8.59  % (2212757)Instructions burned: 685 (million)
% 50.20/8.59  % (2212768)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2713596284:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 50.20/8.59  % (2212762)Instruction limit reached! 
% 50.20/8.59  % (2212762)------------------------------
% 50.20/8.59  % (2212762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.20/8.59  % (2212762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.20/8.59  % (2212762)CaDiCaL version: 2.1.3
% 50.20/8.59  % (2212762)Termination reason: Instruction limit
% 50.20/8.59  % (2212762)Termination phase: Saturation
% 50.20/8.59  % (2212762)Time elapsed: 0.452 s
% 50.20/8.59  % (2212762)Peak memory usage: 15 MB
% 50.20/8.59  % (2212762)Instructions burned: 477 (million)
% 50.20/8.59  % (2212770)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1774611114:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 50.20/8.59  % (2212766)Instruction limit reached! 
% 50.20/8.59  % (2212766)------------------------------
% 50.20/8.59  % (2212766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.20/8.59  % (2212766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.20/8.59  % (2212766)CaDiCaL version: 2.1.3
% 50.20/8.59  % (2212766)Termination reason: Instruction limit
% 50.20/8.59  % (2212766)Termination phase: Saturation
% 50.20/8.59  % (2212766)Time elapsed: 0.609 s
% 50.20/8.59  % (2212766)Peak memory usage: 23 MB
% 50.20/8.59  % (2212766)Instructions burned: 1179 (million)
% 50.20/8.59  % (2212764)Instruction limit reached! 
% 50.20/8.59  % (2212764)------------------------------
% 50.20/8.59  % (2212764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.20/8.59  % (2212764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.20/8.59  % (2212764)CaDiCaL version: 2.1.3
% 50.20/8.59  % (2212764)Termination reason: Instruction limit
% 69.55/10.39  % (2212764)Termination phase: Finite model building SAT solving
% 69.55/10.39  % (2212764)Time elapsed: 0.672 s
% 69.55/10.39  % (2212764)Peak memory usage: 19 MB
% 69.55/10.39  % (2212764)Instructions burned: 865 (million)
% 69.55/10.39  % (2212772)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2638104889:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 69.55/10.39  % (2212773)fmb+10_1_sil=64000:random_seed=3765505119:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 69.55/10.39  % TRYING [1]
% 69.55/10.39  % TRYING [2]
% 69.55/10.39  % TRYING [3]
% 69.55/10.39  % (2212770)Instruction limit reached! 
% 69.55/10.39  % (2212770)------------------------------
% 69.55/10.39  % (2212770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212770)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212770)Termination reason: Instruction limit
% 69.55/10.39  % (2212770)Termination phase: Saturation
% 69.55/10.39  % (2212770)Time elapsed: 0.642 s
% 69.55/10.39  % (2212770)Peak memory usage: 20 MB
% 69.55/10.39  % (2212770)Instructions burned: 692 (million)
% 69.55/10.39  % (2212772)Instruction limit reached! 
% 69.55/10.39  % (2212772)------------------------------
% 69.55/10.39  % (2212772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212772)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212772)Termination reason: Instruction limit
% 69.55/10.39  % (2212772)Termination phase: Saturation
% 69.55/10.39  % (2212772)Time elapsed: 0.448 s
% 69.55/10.39  % (2212772)Peak memory usage: 20 MB
% 69.55/10.39  % (2212772)Instructions burned: 881 (million)
% 69.55/10.39  % (2212776)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1660071435:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 69.55/10.39  % TRYING [20]
% 69.55/10.39  % TRYING [4]
% 69.55/10.39  % (2212768)Instruction limit reached! 
% 69.55/10.39  % (2212768)------------------------------
% 69.55/10.39  % (2212768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212768)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212768)Termination reason: Instruction limit
% 69.55/10.39  % (2212768)Termination phase: Finite model building constraint generation
% 69.55/10.39  % (2212768)Time elapsed: 0.783 s
% 69.55/10.39  % (2212768)Peak memory usage: 103 MB
% 69.55/10.39  % (2212768)Instructions burned: 890 (million)
% 69.55/10.39  % (2212778)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1684606408:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 69.55/10.39  % TRYING [8]
% 69.55/10.39  % (2212780)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3778630259:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 69.55/10.39  % TRYING [4]
% 69.55/10.39  % (2212778)Instruction limit reached! 
% 69.55/10.39  % (2212778)------------------------------
% 69.55/10.39  % (2212778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212778)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212778)Termination reason: Instruction limit
% 69.55/10.39  % (2212778)Termination phase: Finite model building constraint generation
% 69.55/10.39  % (2212778)Time elapsed: 0.315 s
% 69.55/10.39  % (2212778)Peak memory usage: 66 MB
% 69.55/10.39  % (2212778)Instructions burned: 922 (million)
% 69.55/10.39  % (2212782)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2832248063:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 69.55/10.39  % (2212782)Instruction limit reached! 
% 69.55/10.39  % (2212782)------------------------------
% 69.55/10.39  % (2212782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212782)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212782)Termination reason: Instruction limit
% 69.55/10.39  % (2212782)Termination phase: Saturation
% 69.55/10.39  % (2212782)Time elapsed: 0.622 s
% 69.55/10.39  % (2212782)Peak memory usage: 16 MB
% 69.55/10.39  % (2212782)Instructions burned: 1474 (million)
% 69.55/10.39  % (2212784)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2555540534:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 69.55/10.39  % (2212784)Cannot represent all propositional literals internally
% 69.55/10.39  % (2212784)Refutation not found, incomplete strategy
% 69.55/10.39  % (2212784)------------------------------
% 69.55/10.39  % (2212784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212784)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212784)Termination reason: Refutation not found, incomplete strategy
% 69.55/10.39  % (2212784)Time elapsed: 0.005 s
% 69.55/10.39  % (2212784)Peak memory usage: 11 MB
% 69.55/10.39  % (2212784)Instructions burned: 11 (million)
% 69.55/10.39  % (2212784)------------------------------
% 69.55/10.39  % (2212784)------------------------------
% 69.55/10.39  % (2212786)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3961957961:fmbsr=2.30978:i=2174_2973 on theBenchmark for (2973ds/2174Mi)
% 69.55/10.39  % TRYING [16]
% 69.55/10.39  % (2212786)Instruction limit reached! 
% 69.55/10.39  % (2212786)------------------------------
% 69.55/10.39  % (2212786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212786)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212786)Termination reason: Instruction limit
% 69.55/10.39  % (2212786)Termination phase: Finite model building constraint generation
% 69.55/10.39  % (2212786)Time elapsed: 0.718 s
% 69.55/10.39  % (2212786)Peak memory usage: 119 MB
% 69.55/10.39  % (2212786)Instructions burned: 2179 (million)
% 69.55/10.39  % (2212788)ott-2_1_sil=16000:newcnf=on:random_seed=416500390:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2966 on theBenchmark for (2966ds/869Mi)
% 69.55/10.39  % (2212788)Instruction limit reached! 
% 69.55/10.39  % (2212788)------------------------------
% 69.55/10.39  % (2212788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212788)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212788)Termination reason: Instruction limit
% 69.55/10.39  % (2212788)Termination phase: Saturation
% 69.55/10.39  % (2212788)Time elapsed: 0.436 s
% 69.55/10.39  % (2212788)Peak memory usage: 22 MB
% 69.55/10.39  % (2212788)Instructions burned: 869 (million)
% 69.55/10.39  % (2212790)ott+10_1_sil=32000:tgt=ground:random_seed=2195970756:i=5114:av=off_2961 on theBenchmark for (2961ds/5114Mi)
% 69.55/10.39  % (2212780)Instruction limit reached! 
% 69.55/10.39  % (2212780)------------------------------
% 69.55/10.39  % (2212780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212780)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212780)Termination reason: Instruction limit
% 69.55/10.39  % (2212780)Termination phase: Saturation
% 69.55/10.39  % (2212780)Time elapsed: 4.395 s
% 69.55/10.39  % (2212780)Peak memory usage: 36 MB
% 69.55/10.39  % (2212780)Instructions burned: 5134 (million)
% 69.55/10.39  % (2212792)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3952612499:i=54282_2939 on theBenchmark for (2939ds/54282Mi)
% 69.55/10.39  % TRYING [1]
% 69.55/10.39  % TRYING [2]
% 69.55/10.39  % TRYING [3]
% 69.55/10.39  % (2212790)Instruction limit reached! 
% 69.55/10.39  % (2212790)------------------------------
% 69.55/10.39  % (2212790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212790)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212790)Termination reason: Instruction limit
% 69.55/10.39  % (2212790)Termination phase: Saturation
% 69.55/10.39  % (2212790)Time elapsed: 2.508 s
% 69.55/10.39  % (2212790)Peak memory usage: 76 MB
% 69.55/10.39  % (2212790)Instructions burned: 5115 (million)
% 69.55/10.39  % (2212794)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=23691103:i=3512:aac=none_2936 on theBenchmark for (2936ds/3512Mi)
% 69.55/10.39  % TRYING [4]
% 69.55/10.39  % (2212776)Instruction limit reached! 
% 69.55/10.39  % (2212776)------------------------------
% 69.55/10.39  % (2212776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212776)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212776)Termination reason: Instruction limit
% 69.55/10.39  % (2212776)Termination phase: Finite model building constraint generation
% 69.55/10.39  % (2212776)Time elapsed: 6.363 s
% 69.55/10.39  % (2212776)Peak memory usage: 565 MB
% 69.55/10.39  % (2212776)Instructions burned: 9515 (million)
% 69.55/10.39  % (2212794)Instruction limit reached! 
% 69.55/10.39  % (2212794)------------------------------
% 69.55/10.39  % (2212794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212794)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212794)Termination reason: Instruction limit
% 69.55/10.39  % (2212794)Termination phase: Saturation
% 69.55/10.39  % (2212794)Time elapsed: 1.634 s
% 69.55/10.39  % (2212794)Peak memory usage: 35 MB
% 69.55/10.39  % (2212794)Instructions burned: 3513 (million)
% 69.55/10.39  % (2212796)dis+21_1_sil=32000:sas=cadical:random_seed=190228292:i=3773:amm=off_2919 on theBenchmark for (2919ds/3773Mi)
% 69.55/10.39  % (2212797)ott+11_1_sil=16000:gs=on:random_seed=343926665:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2919 on theBenchmark for (2919ds/2251Mi)
% 69.55/10.39  % (2212796) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2212735-2212796"...
% 69.55/10.39  % (2212796)...printing done.
% 69.55/10.39  % (2212796)Refutation found. Thanks to Tanya!
% 69.55/10.39  % SZS status Theorem for theBenchmark
% 69.55/10.39  % SZS output start Proof for theBenchmark
% See solution above
% 69.55/10.39  % (2212796)------------------------------
% 69.55/10.39  % (2212796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.39  % (2212796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.39  % (2212796)CaDiCaL version: 2.1.3
% 69.55/10.39  % (2212796)Termination reason: Refutation
% 69.55/10.39  % (2212796)Time elapsed: 1.739 s
% 69.55/10.39  % (2212796)Peak memory usage: 31 MB
% 69.55/10.39  % (2212796)Instructions burned: 3542 (million)
% 69.55/10.39  % (2212735)Success in time 9.855 s
% 69.55/10.39  % Vampire exiting
%------------------------------------------------------------------------------