↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CAT032+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 09:36:46 AM UTC 2026

% Result   : Theorem 3.14s 1.07s
% Output   : Refutation 3.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  151 (  27 unt;  11 def)
%            Number of atoms       :  546 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  716 ( 321   ~; 309   |;  58   &)
%                                         (  14 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  17 usr;  12 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   83 (   0 sgn  72   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( v2_cat_1(X0)
        & l1_cat_1(X0) )
     => ! [X1] :
          ( ( v2_cat_1(X1)
            & l1_cat_1(X1) )
         => ! [X2] :
              ( ( v2_cat_1(X2)
                & l1_cat_1(X2) )
             => r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_isocat_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( v2_cat_1(X0)
          & l1_cat_1(X0) )
       => ! [X1] :
            ( ( v2_cat_1(X1)
              & l1_cat_1(X1) )
           => ! [X2] :
                ( ( v2_cat_1(X2)
                  & l1_cat_1(X2) )
               => r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( v2_cat_1(X0)
        & l1_cat_1(X0) )
     => ! [X1] :
          ( ( v2_cat_1(X1)
            & l1_cat_1(X1) )
         => ( r1_isocat_1(X0,X1)
          <=> ? [X2] :
                ( m2_cat_1(X2,X0,X1)
                & v8_cat_1(X2,X0,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_isocat_1) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ( v2_cat_1(X0)
        & l1_cat_1(X0)
        & v2_cat_1(X1)
        & l1_cat_1(X1) )
     => ( v2_cat_1(k11_cat_2(X0,X1))
        & l1_cat_1(k11_cat_2(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( v2_cat_1(X0)
        & l1_cat_1(X0)
        & v2_cat_1(X1)
        & l1_cat_1(X1) )
     => ( v1_cat_1(k12_nattra_1(X0,X1))
        & v2_cat_1(k12_nattra_1(X0,X1))
        & l1_cat_1(k12_nattra_1(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_nattra_1) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( v2_cat_1(X0)
        & l1_cat_1(X0)
        & v2_cat_1(X1)
        & l1_cat_1(X1)
        & v2_cat_1(X2)
        & l1_cat_1(X2) )
     => m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_isocat_2) ).

fof(f45,axiom,
    ! [X0] :
      ( ( v2_cat_1(X0)
        & l1_cat_1(X0) )
     => ! [X1] :
          ( ( v2_cat_1(X1)
            & l1_cat_1(X1) )
         => ! [X2] :
              ( ( v2_cat_1(X2)
                & l1_cat_1(X2) )
             => v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_isocat_2) ).

fof(f54,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
              & v2_cat_1(X2)
              & l1_cat_1(X2) )
          & v2_cat_1(X1)
          & l1_cat_1(X1) )
      & v2_cat_1(X0)
      & l1_cat_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f55,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
              & v2_cat_1(X2)
              & l1_cat_1(X2) )
          & v2_cat_1(X1)
          & l1_cat_1(X1) )
      & v2_cat_1(X0)
      & l1_cat_1(X0) ),
    inference(flattening,[],[f54]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r1_isocat_1(X0,X1)
          <=> ? [X2] :
                ( m2_cat_1(X2,X0,X1)
                & v8_cat_1(X2,X0,X1) ) )
          | ~ v2_cat_1(X1)
          | ~ l1_cat_1(X1) )
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r1_isocat_1(X0,X1)
          <=> ? [X2] :
                ( m2_cat_1(X2,X0,X1)
                & v8_cat_1(X2,X0,X1) ) )
          | ~ v2_cat_1(X1)
          | ~ l1_cat_1(X1) )
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(flattening,[],[f59]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( v2_cat_1(k11_cat_2(X0,X1))
        & l1_cat_1(k11_cat_2(X0,X1)) )
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ( v2_cat_1(k11_cat_2(X0,X1))
        & l1_cat_1(k11_cat_2(X0,X1)) )
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1) ),
    inference(flattening,[],[f63]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ( v1_cat_1(k12_nattra_1(X0,X1))
        & v2_cat_1(k12_nattra_1(X0,X1))
        & l1_cat_1(k12_nattra_1(X0,X1)) )
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ( v1_cat_1(k12_nattra_1(X0,X1))
        & v2_cat_1(k12_nattra_1(X0,X1))
        & l1_cat_1(k12_nattra_1(X0,X1)) )
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1) ),
    inference(flattening,[],[f65]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1)
      | ~ v2_cat_1(X2)
      | ~ l1_cat_1(X2) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1)
      | ~ v2_cat_1(X2)
      | ~ l1_cat_1(X2) ),
    inference(flattening,[],[f67]) ).

fof(f93,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
              | ~ v2_cat_1(X2)
              | ~ l1_cat_1(X2) )
          | ~ v2_cat_1(X1)
          | ~ l1_cat_1(X1) )
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f94,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
              | ~ v2_cat_1(X2)
              | ~ l1_cat_1(X2) )
          | ~ v2_cat_1(X1)
          | ~ l1_cat_1(X1) )
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(flattening,[],[f93]) ).

fof(f101,plain,
    ( ~ r1_isocat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
    & v2_cat_1(sK2)
    & l1_cat_1(sK2)
    & v2_cat_1(sK1)
    & l1_cat_1(sK1)
    & v2_cat_1(sK0)
    & l1_cat_1(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f55]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( r1_isocat_1(X0,X1)
              | ! [X2] :
                  ( ~ m2_cat_1(X2,X0,X1)
                  | ~ v8_cat_1(X2,X0,X1) ) )
            & ( ? [X2] :
                  ( m2_cat_1(X2,X0,X1)
                  & v8_cat_1(X2,X0,X1) )
              | ~ r1_isocat_1(X0,X1) ) )
          | ~ v2_cat_1(X1)
          | ~ l1_cat_1(X1) )
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( r1_isocat_1(X0,X1)
              | ! [X2] :
                  ( ~ m2_cat_1(X2,X0,X1)
                  | ~ v8_cat_1(X2,X0,X1) ) )
            & ( ? [X3] :
                  ( m2_cat_1(X3,X0,X1)
                  & v8_cat_1(X3,X0,X1) )
              | ~ r1_isocat_1(X0,X1) ) )
          | ~ v2_cat_1(X1)
          | ~ l1_cat_1(X1) )
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(rectify,[],[f102]) ).

fof(f104,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( r1_isocat_1(X0,X1)
              | ! [X2] :
                  ( ~ m2_cat_1(X2,X0,X1)
                  | ~ v8_cat_1(X2,X0,X1) ) )
            & ( ( m2_cat_1(sK3(X0,X1),X0,X1)
                & v8_cat_1(sK3(X0,X1),X0,X1) )
              | ~ r1_isocat_1(X0,X1) ) )
          | ~ v2_cat_1(X1)
          | ~ l1_cat_1(X1) )
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1))],[f103]) ).

fof(f115,plain,
    l1_cat_1(sK0),
    inference(cnf_transformation,[],[f101]) ).

fof(f116,plain,
    v2_cat_1(sK0),
    inference(cnf_transformation,[],[f101]) ).

fof(f117,plain,
    l1_cat_1(sK1),
    inference(cnf_transformation,[],[f101]) ).

fof(f118,plain,
    v2_cat_1(sK1),
    inference(cnf_transformation,[],[f101]) ).

fof(f119,plain,
    l1_cat_1(sK2),
    inference(cnf_transformation,[],[f101]) ).

fof(f120,plain,
    v2_cat_1(sK2),
    inference(cnf_transformation,[],[f101]) ).

fof(f121,plain,
    ~ r1_isocat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2))),
    inference(cnf_transformation,[],[f101]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( r1_isocat_1(X0,X1)
      | ~ m2_cat_1(X2,X0,X1)
      | ~ v8_cat_1(X2,X0,X1)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1)
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( l1_cat_1(k11_cat_2(X0,X1))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( v2_cat_1(k11_cat_2(X0,X1))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( l1_cat_1(k12_nattra_1(X0,X1))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( v2_cat_1(k12_nattra_1(X0,X1))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1)
      | ~ v2_cat_1(X2)
      | ~ l1_cat_1(X2) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f180,plain,
    ! [X2,X0,X1] :
      ( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
      | ~ v2_cat_1(X2)
      | ~ l1_cat_1(X2)
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1)
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f208,definition,
    ( spl13_3
  <=> l1_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2))) ),
    introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).

fof(f209,plain,
    ( l1_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)))
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f210,plain,
    ( ~ l1_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)))
    | spl13_3 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f212,definition,
    ( spl13_4
  <=> v2_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2))) ),
    introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).

fof(f214,plain,
    ( ~ v2_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)))
    | spl13_4 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f216,definition,
    ( spl13_5
  <=> l1_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2))) ),
    introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).

fof(f218,plain,
    ( ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
    | spl13_5 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f220,definition,
    ( spl13_6
  <=> v2_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2))) ),
    introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).

fof(f222,plain,
    ( ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
    | spl13_6 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f228,plain,
    ( ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ v2_cat_1(k11_cat_2(sK1,sK2))
    | ~ l1_cat_1(k11_cat_2(sK1,sK2))
    | spl13_3 ),
    inference(resolution,[],[f210,f131]) ).

fof(f229,plain,
    ( ~ l1_cat_1(sK0)
    | ~ v2_cat_1(k11_cat_2(sK1,sK2))
    | ~ l1_cat_1(k11_cat_2(sK1,sK2))
    | spl13_3 ),
    inference(forward_subsumption_resolution,[],[f228,f116]) ).

fof(f230,plain,
    ( ~ v2_cat_1(k11_cat_2(sK1,sK2))
    | ~ l1_cat_1(k11_cat_2(sK1,sK2))
    | spl13_3 ),
    inference(forward_subsumption_resolution,[],[f229,f115]) ).

fof(f232,definition,
    ( spl13_8
  <=> l1_cat_1(k11_cat_2(sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).

fof(f233,plain,
    ( l1_cat_1(k11_cat_2(sK1,sK2))
    | ~ spl13_8 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f234,plain,
    ( ~ l1_cat_1(k11_cat_2(sK1,sK2))
    | spl13_8 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f236,definition,
    ( spl13_9
  <=> v2_cat_1(k11_cat_2(sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).

fof(f237,plain,
    ( v2_cat_1(k11_cat_2(sK1,sK2))
    | ~ spl13_9 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f238,plain,
    ( ~ v2_cat_1(k11_cat_2(sK1,sK2))
    | spl13_9 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f239,plain,
    ( ~ spl13_8
    | ~ spl13_9
    | spl13_3 ),
    inference(avatar_split_clause,[],[f230,f208,f236,f232]) ).

fof(f240,plain,
    ( ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_8 ),
    inference(resolution,[],[f234,f129]) ).

fof(f241,plain,
    ( ~ l1_cat_1(sK1)
    | ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_8 ),
    inference(forward_subsumption_resolution,[],[f240,f118]) ).

fof(f242,plain,
    ( ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_8 ),
    inference(forward_subsumption_resolution,[],[f241,f117]) ).

fof(f243,plain,
    ( ~ l1_cat_1(sK2)
    | spl13_8 ),
    inference(forward_subsumption_resolution,[],[f242,f120]) ).

fof(f244,plain,
    ( $false
    | spl13_8 ),
    inference(forward_subsumption_resolution,[],[f243,f119]) ).

fof(f245,plain,
    spl13_8,
    inference(avatar_contradiction_clause,[],[f244]) ).

fof(f246,plain,
    ( ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_9 ),
    inference(resolution,[],[f238,f130]) ).

fof(f247,plain,
    ( ~ l1_cat_1(sK1)
    | ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_9 ),
    inference(forward_subsumption_resolution,[],[f246,f118]) ).

fof(f248,plain,
    ( ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_9 ),
    inference(forward_subsumption_resolution,[],[f247,f117]) ).

fof(f249,plain,
    ( ~ l1_cat_1(sK2)
    | spl13_9 ),
    inference(forward_subsumption_resolution,[],[f248,f120]) ).

fof(f250,plain,
    ( $false
    | spl13_9 ),
    inference(forward_subsumption_resolution,[],[f249,f119]) ).

fof(f251,plain,
    spl13_9,
    inference(avatar_contradiction_clause,[],[f250]) ).

fof(f252,plain,
    ! [X0] :
      ( ~ m2_cat_1(X0,k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
      | ~ v8_cat_1(X0,k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
      | ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
      | ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
      | ~ v2_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2)))
      | ~ l1_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2))) ),
    inference(resolution,[],[f126,f121]) ).

fof(f253,plain,
    ( ! [X0] :
        ( ~ m2_cat_1(X0,k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
        | ~ v8_cat_1(X0,k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
        | ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
        | ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
        | ~ v2_cat_1(k12_nattra_1(sK0,k11_cat_2(sK1,sK2))) )
    | ~ spl13_3 ),
    inference(forward_subsumption_resolution,[],[f252,f209]) ).

fof(f255,definition,
    ( spl13_10
  <=> ! [X0] :
        ( ~ m2_cat_1(X0,k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
        | ~ v8_cat_1(X0,k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2))) ) ),
    introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).

fof(f256,plain,
    ( ! [X0] :
        ( ~ v8_cat_1(X0,k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
        | ~ m2_cat_1(X0,k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2))) )
    | ~ spl13_10 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f257,plain,
    ( ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | spl13_10
    | ~ spl13_3 ),
    inference(avatar_split_clause,[],[f253,f208,f255,f220,f216,f212]) ).

fof(f258,plain,
    ( ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ v2_cat_1(k11_cat_2(sK1,sK2))
    | ~ l1_cat_1(k11_cat_2(sK1,sK2))
    | spl13_4 ),
    inference(resolution,[],[f214,f132]) ).

fof(f259,plain,
    ( ~ l1_cat_1(sK0)
    | ~ v2_cat_1(k11_cat_2(sK1,sK2))
    | ~ l1_cat_1(k11_cat_2(sK1,sK2))
    | spl13_4 ),
    inference(forward_subsumption_resolution,[],[f258,f116]) ).

fof(f260,plain,
    ( ~ v2_cat_1(k11_cat_2(sK1,sK2))
    | ~ l1_cat_1(k11_cat_2(sK1,sK2))
    | spl13_4 ),
    inference(forward_subsumption_resolution,[],[f259,f115]) ).

fof(f261,plain,
    ( ~ l1_cat_1(k11_cat_2(sK1,sK2))
    | spl13_4
    | ~ spl13_9 ),
    inference(forward_subsumption_resolution,[],[f260,f237]) ).

fof(f262,plain,
    ( $false
    | spl13_4
    | ~ spl13_8
    | ~ spl13_9 ),
    inference(forward_subsumption_resolution,[],[f261,f233]) ).

fof(f263,plain,
    ( spl13_4
    | ~ spl13_8
    | ~ spl13_9 ),
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f264,plain,
    ( ~ v2_cat_1(k12_nattra_1(sK0,sK1))
    | ~ l1_cat_1(k12_nattra_1(sK0,sK1))
    | ~ v2_cat_1(k12_nattra_1(sK0,sK2))
    | ~ l1_cat_1(k12_nattra_1(sK0,sK2))
    | spl13_5 ),
    inference(resolution,[],[f218,f129]) ).

fof(f266,definition,
    ( spl13_11
  <=> l1_cat_1(k12_nattra_1(sK0,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl13_11])],[avatar_definition]) ).

fof(f267,plain,
    ( l1_cat_1(k12_nattra_1(sK0,sK2))
    | ~ spl13_11 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f268,plain,
    ( ~ l1_cat_1(k12_nattra_1(sK0,sK2))
    | spl13_11 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f270,definition,
    ( spl13_12
  <=> v2_cat_1(k12_nattra_1(sK0,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).

fof(f271,plain,
    ( v2_cat_1(k12_nattra_1(sK0,sK2))
    | ~ spl13_12 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f272,plain,
    ( ~ v2_cat_1(k12_nattra_1(sK0,sK2))
    | spl13_12 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f274,definition,
    ( spl13_13
  <=> l1_cat_1(k12_nattra_1(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).

fof(f275,plain,
    ( l1_cat_1(k12_nattra_1(sK0,sK1))
    | ~ spl13_13 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f276,plain,
    ( ~ l1_cat_1(k12_nattra_1(sK0,sK1))
    | spl13_13 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f278,definition,
    ( spl13_14
  <=> v2_cat_1(k12_nattra_1(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl13_14])],[avatar_definition]) ).

fof(f279,plain,
    ( v2_cat_1(k12_nattra_1(sK0,sK1))
    | ~ spl13_14 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f280,plain,
    ( ~ v2_cat_1(k12_nattra_1(sK0,sK1))
    | spl13_14 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f281,plain,
    ( ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13
    | ~ spl13_14
    | spl13_5 ),
    inference(avatar_split_clause,[],[f264,f216,f278,f274,f270,f266]) ).

fof(f283,plain,
    ( ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_11 ),
    inference(resolution,[],[f268,f131]) ).

fof(f284,plain,
    ( ~ l1_cat_1(sK0)
    | ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_11 ),
    inference(forward_subsumption_resolution,[],[f283,f116]) ).

fof(f285,plain,
    ( ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_11 ),
    inference(forward_subsumption_resolution,[],[f284,f115]) ).

fof(f286,plain,
    ( ~ l1_cat_1(sK2)
    | spl13_11 ),
    inference(forward_subsumption_resolution,[],[f285,f120]) ).

fof(f287,plain,
    ( $false
    | spl13_11 ),
    inference(forward_subsumption_resolution,[],[f286,f119]) ).

fof(f288,plain,
    spl13_11,
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f290,plain,
    ( ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_12 ),
    inference(resolution,[],[f272,f132]) ).

fof(f291,plain,
    ( ~ l1_cat_1(sK0)
    | ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_12 ),
    inference(forward_subsumption_resolution,[],[f290,f116]) ).

fof(f292,plain,
    ( ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | spl13_12 ),
    inference(forward_subsumption_resolution,[],[f291,f115]) ).

fof(f293,plain,
    ( ~ l1_cat_1(sK2)
    | spl13_12 ),
    inference(forward_subsumption_resolution,[],[f292,f120]) ).

fof(f294,plain,
    ( $false
    | spl13_12 ),
    inference(forward_subsumption_resolution,[],[f293,f119]) ).

fof(f295,plain,
    spl13_12,
    inference(avatar_contradiction_clause,[],[f294]) ).

fof(f296,plain,
    ( ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | spl13_13 ),
    inference(resolution,[],[f276,f131]) ).

fof(f297,plain,
    ( ~ l1_cat_1(sK0)
    | ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | spl13_13 ),
    inference(forward_subsumption_resolution,[],[f296,f116]) ).

fof(f298,plain,
    ( ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | spl13_13 ),
    inference(forward_subsumption_resolution,[],[f297,f115]) ).

fof(f299,plain,
    ( ~ l1_cat_1(sK1)
    | spl13_13 ),
    inference(forward_subsumption_resolution,[],[f298,f118]) ).

fof(f300,plain,
    ( $false
    | spl13_13 ),
    inference(forward_subsumption_resolution,[],[f299,f117]) ).

fof(f301,plain,
    spl13_13,
    inference(avatar_contradiction_clause,[],[f300]) ).

fof(f306,plain,
    ( ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | spl13_14 ),
    inference(resolution,[],[f280,f132]) ).

fof(f307,plain,
    ( ~ l1_cat_1(sK0)
    | ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | spl13_14 ),
    inference(forward_subsumption_resolution,[],[f306,f116]) ).

fof(f308,plain,
    ( ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | spl13_14 ),
    inference(forward_subsumption_resolution,[],[f307,f115]) ).

fof(f309,plain,
    ( ~ l1_cat_1(sK1)
    | spl13_14 ),
    inference(forward_subsumption_resolution,[],[f308,f118]) ).

fof(f310,plain,
    ( $false
    | spl13_14 ),
    inference(forward_subsumption_resolution,[],[f309,f117]) ).

fof(f311,plain,
    spl13_14,
    inference(avatar_contradiction_clause,[],[f310]) ).

fof(f312,plain,
    ( ~ v2_cat_1(k12_nattra_1(sK0,sK1))
    | ~ l1_cat_1(k12_nattra_1(sK0,sK1))
    | ~ v2_cat_1(k12_nattra_1(sK0,sK2))
    | ~ l1_cat_1(k12_nattra_1(sK0,sK2))
    | spl13_6 ),
    inference(resolution,[],[f222,f130]) ).

fof(f313,plain,
    ( ~ l1_cat_1(k12_nattra_1(sK0,sK1))
    | ~ v2_cat_1(k12_nattra_1(sK0,sK2))
    | ~ l1_cat_1(k12_nattra_1(sK0,sK2))
    | spl13_6
    | ~ spl13_14 ),
    inference(forward_subsumption_resolution,[],[f312,f279]) ).

fof(f314,plain,
    ( ~ v2_cat_1(k12_nattra_1(sK0,sK2))
    | ~ l1_cat_1(k12_nattra_1(sK0,sK2))
    | spl13_6
    | ~ spl13_13
    | ~ spl13_14 ),
    inference(forward_subsumption_resolution,[],[f313,f275]) ).

fof(f315,plain,
    ( ~ l1_cat_1(k12_nattra_1(sK0,sK2))
    | spl13_6
    | ~ spl13_12
    | ~ spl13_13
    | ~ spl13_14 ),
    inference(forward_subsumption_resolution,[],[f314,f271]) ).

fof(f316,plain,
    ( $false
    | spl13_6
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13
    | ~ spl13_14 ),
    inference(forward_subsumption_resolution,[],[f315,f267]) ).

fof(f317,plain,
    ( spl13_6
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13
    | ~ spl13_14 ),
    inference(avatar_contradiction_clause,[],[f316]) ).

fof(f325,plain,
    ( ~ m2_cat_1(k17_isocat_2(sK0,sK1,sK2),k12_nattra_1(sK0,k11_cat_2(sK1,sK2)),k11_cat_2(k12_nattra_1(sK0,sK1),k12_nattra_1(sK0,sK2)))
    | ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ spl13_10 ),
    inference(resolution,[],[f256,f180]) ).

fof(f326,plain,
    ( ~ v2_cat_1(sK2)
    | ~ l1_cat_1(sK2)
    | ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ spl13_10 ),
    inference(forward_subsumption_resolution,[],[f325,f134]) ).

fof(f327,plain,
    ( ~ l1_cat_1(sK2)
    | ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ spl13_10 ),
    inference(forward_subsumption_resolution,[],[f326,f120]) ).

fof(f328,plain,
    ( ~ v2_cat_1(sK1)
    | ~ l1_cat_1(sK1)
    | ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ spl13_10 ),
    inference(forward_subsumption_resolution,[],[f327,f119]) ).

fof(f329,plain,
    ( ~ l1_cat_1(sK1)
    | ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ spl13_10 ),
    inference(forward_subsumption_resolution,[],[f328,f118]) ).

fof(f330,plain,
    ( ~ v2_cat_1(sK0)
    | ~ l1_cat_1(sK0)
    | ~ spl13_10 ),
    inference(forward_subsumption_resolution,[],[f329,f117]) ).

fof(f331,plain,
    ( ~ l1_cat_1(sK0)
    | ~ spl13_10 ),
    inference(forward_subsumption_resolution,[],[f330,f116]) ).

fof(f332,plain,
    ( $false
    | ~ spl13_10 ),
    inference(forward_subsumption_resolution,[],[f331,f115]) ).

fof(f333,plain,
    ~ spl13_10,
    inference(avatar_contradiction_clause,[],[f332]) ).

cnf(s3,plain,
    ( spl13_3
    | ~ spl13_8
    | ~ spl13_9 ),
    inference(sat_conversion,[],[f239]) ).

cnf(s4,plain,
    spl13_8,
    inference(sat_conversion,[],[f245]) ).

cnf(s5,plain,
    spl13_9,
    inference(sat_conversion,[],[f251]) ).

cnf(s6,plain,
    ( ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | spl13_10 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s7,plain,
    ( spl13_4
    | ~ spl13_8
    | ~ spl13_9 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s8,plain,
    ( spl13_5
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13
    | ~ spl13_14 ),
    inference(sat_conversion,[],[f281]) ).

cnf(s9,plain,
    spl13_11,
    inference(sat_conversion,[],[f288]) ).

cnf(s10,plain,
    spl13_12,
    inference(sat_conversion,[],[f295]) ).

cnf(s11,plain,
    spl13_13,
    inference(sat_conversion,[],[f301]) ).

cnf(s12,plain,
    spl13_14,
    inference(sat_conversion,[],[f311]) ).

cnf(s13,plain,
    ( spl13_6
    | ~ spl13_11
    | ~ spl13_12
    | ~ spl13_13
    | ~ spl13_14 ),
    inference(sat_conversion,[],[f317]) ).

cnf(s14,plain,
    ~ spl13_10,
    inference(sat_conversion,[],[f333]) ).

cnf(s15,plain,
    spl13_6,
    inference(rat,[],[s13,s12,s11,s10,s9]) ).

cnf(s16,plain,
    spl13_5,
    inference(rat,[],[s8,s12,s11,s10,s9]) ).

cnf(s17,plain,
    ( ~ spl13_3
    | ~ spl13_4 ),
    inference(rat,[],[s6,s14,s15,s16]) ).

cnf(s18,plain,
    spl13_4,
    inference(rat,[],[s7,s5,s4]) ).

cnf(s19,plain,
    ~ spl13_3,
    inference(rat,[],[s17,s18]) ).

cnf(s20,plain,
    $false,
    inference(rat,[],[s3,s5,s4,s19]) ).

fof(f334,plain,
    $false,
    inference(avatar_sat_refutation,[],[s20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CAT032+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n002.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 21:26:15 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.14/1.07  % (784859)Detected formulas, will run a generic FOF schedule.
% 3.14/1.07  % (784865)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=4005247856:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.14/1.07  % (784866)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=2245201509:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.14/1.07  % (784870)dis-21_1_sil=8000:lcm=predicate:random_seed=174494982: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)
% 3.14/1.07  % (784864)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=3326813424:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.14/1.07  % (784869)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1124662154:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.14/1.07  % (784868)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3106105505:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.14/1.07  % (784867)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2988057611:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.14/1.07  % (784868)Refutation not found, incomplete strategy
% 3.14/1.07  % (784868)------------------------------
% 3.14/1.07  % (784868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.07  % (784868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.07  % (784867)Refutation not found, incomplete strategy
% 3.14/1.07  % (784867)------------------------------
% 3.14/1.07  % (784867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.07  % (784868)CaDiCaL version: 2.1.3
% 3.14/1.07  % (784867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.07  % (784868)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.07  % (784868)Time elapsed: 0.001 s
% 3.14/1.07  % (784868)Peak memory usage: 88 MB
% 3.14/1.07  % (784867)CaDiCaL version: 2.1.3
% 3.14/1.07  % (784867)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.07  % (784867)Time elapsed: 0.001 s
% 3.14/1.07  % (784867)Peak memory usage: 88 MB
% 3.14/1.07  % (784869)First to succeed.
% 3.14/1.07  % (784869)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-784859"
% 3.14/1.07  % (784870)Instruction limit reached! 
% 3.14/1.07  % (784870)------------------------------
% 3.14/1.07  % (784870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.07  % (784870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.07  % (784870)CaDiCaL version: 2.1.3
% 3.14/1.07  % (784870)Termination reason: Instruction limit
% 3.14/1.07  % (784870)Termination phase: Saturation
% 3.14/1.07  % (784870)Time elapsed: 0.084 s
% 3.14/1.07  % (784870)Peak memory usage: 90 MB
% 3.14/1.07  % (784870)Instructions burned: 129 (million)
% 3.14/1.07  % (784878)lrs+10_1_sil=8000:sp=occurrence:random_seed=4288105426:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.14/1.07  % (784878)Also succeeded, but the first one will report.
% 3.14/1.07  % (784868)------------------------------
% 3.14/1.07  % (784868)------------------------------
% 3.14/1.07  % (784867)------------------------------
% 3.14/1.07  % (784867)------------------------------
% 3.14/1.07  % (784869)Refutation found. Thanks to Tanya!
% 3.14/1.07  % SZS status Theorem for theBenchmark
% 3.14/1.07  % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.27  % (784869)------------------------------
% 3.54/1.27  % (784869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.27  % (784869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.27  % (784869)CaDiCaL version: 2.1.3
% 3.54/1.27  % (784869)Termination reason: Refutation
% 3.54/1.27  % (784869)Time elapsed: 0.010 s
% 3.54/1.27  % (784869)Peak memory usage: 89 MB
% 3.54/1.27  % (784869)Instructions burned: 12 (million)
% 3.54/1.27  % (784869)------------------------------
% 3.54/1.27  % (784869)------------------------------
% 3.54/1.27  % (784859)Success in time 0.415 s
% 3.54/1.27  % Vampire exiting
%------------------------------------------------------------------------------