TSTP Solution File: GEO111+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO111+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 23:30:58 EDT 2023

% Result   : Theorem 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   82 (  17 unt;   0 def)
%            Number of atoms       :  335 (  36 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  386 ( 133   ~; 119   |; 107   &)
%                                         (  16 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   7 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   :  151 (; 127   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f454,plain,
    $false,
    inference(avatar_sat_refutation,[],[f185,f255,f330,f361,f390,f424,f453]) ).

fof(f453,plain,
    ~ spl22_4,
    inference(avatar_contradiction_clause,[],[f452]) ).

fof(f452,plain,
    ( $false
    | ~ spl22_4 ),
    inference(global_subsumption,[],[f429,f441]) ).

fof(f441,plain,
    ( ~ end_point(sK1,sK17(sK0,sK1,sK1,sK3))
    | ~ spl22_4 ),
    inference(backward_demodulation,[],[f229,f176]) ).

fof(f176,plain,
    ( sK1 = sK2
    | ~ spl22_4 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f174,plain,
    ( spl22_4
  <=> sK1 = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).

fof(f229,plain,
    ~ end_point(sK2,sK17(sK0,sK1,sK2,sK3)),
    inference(resolution,[],[f196,f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | ~ inner_point(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( inner_point(X0,X1)
        | end_point(X0,X1)
        | ~ incident_c(X0,X1) )
      & ( ( ~ end_point(X0,X1)
          & incident_c(X0,X1) )
        | ~ inner_point(X0,X1) ) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ( inner_point(X0,X1)
        | end_point(X0,X1)
        | ~ incident_c(X0,X1) )
      & ( ( ~ end_point(X0,X1)
          & incident_c(X0,X1) )
        | ~ inner_point(X0,X1) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( inner_point(X0,X1)
    <=> ( ~ end_point(X0,X1)
        & incident_c(X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0] :
      ( inner_point(X2,X0)
    <=> ( ~ end_point(X2,X0)
        & incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DkQc5ViTrP/Vampire---4.8_17763',inner_point_defn) ).

fof(f196,plain,
    inner_point(sK2,sK17(sK0,sK1,sK2,sK3)),
    inference(resolution,[],[f100,f147]) ).

fof(f147,plain,
    ! [X2,X3,X0,X1] :
      ( inner_point(X2,sK17(X0,X1,X2,X3))
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1,X2,X3] :
      ( ( inner_point(X2,sK17(X0,X1,X2,X3))
        & end_point(X3,sK17(X0,X1,X2,X3))
        & end_point(X1,sK17(X0,X1,X2,X3))
        & part_of(sK17(X0,X1,X2,X3),X0)
        & X1 != X3 )
      | ~ between_c(X0,X1,X2,X3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f58,f98]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( inner_point(X2,X4)
          & end_point(X3,X4)
          & end_point(X1,X4)
          & part_of(X4,X0) )
     => ( inner_point(X2,sK17(X0,X1,X2,X3))
        & end_point(X3,sK17(X0,X1,X2,X3))
        & end_point(X1,sK17(X0,X1,X2,X3))
        & part_of(sK17(X0,X1,X2,X3),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ! [X0,X1,X2,X3] :
      ( ( ? [X4] :
            ( inner_point(X2,X4)
            & end_point(X3,X4)
            & end_point(X1,X4)
            & part_of(X4,X0) )
        & X1 != X3 )
      | ~ between_c(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2,X3] :
      ( between_c(X0,X1,X2,X3)
     => ( ? [X4] :
            ( inner_point(X2,X4)
            & end_point(X3,X4)
            & end_point(X1,X4)
            & part_of(X4,X0) )
        & X1 != X3 ) ),
    inference(unused_predicate_definition_removal,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2,X3] :
      ( between_c(X0,X1,X2,X3)
    <=> ( ? [X4] :
            ( inner_point(X2,X4)
            & end_point(X3,X4)
            & end_point(X1,X4)
            & part_of(X4,X0) )
        & X1 != X3 ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X2,X4,X6] :
      ( between_c(X0,X2,X4,X6)
    <=> ( ? [X7] :
            ( inner_point(X4,X7)
            & end_point(X6,X7)
            & end_point(X2,X7)
            & part_of(X7,X0) )
        & X2 != X6 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DkQc5ViTrP/Vampire---4.8_17763',between_c_defn) ).

fof(f100,plain,
    between_c(sK0,sK1,sK2,sK3),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( sK1 = sK3
      | sK2 = sK3
      | sK1 = sK2
      | ~ incident_c(sK3,sK0)
      | ~ incident_c(sK2,sK0)
      | ~ incident_c(sK1,sK0) )
    & between_c(sK0,sK1,sK2,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f38,f59]) ).

fof(f59,plain,
    ( ? [X0,X1,X2,X3] :
        ( ( X1 = X3
          | X2 = X3
          | X1 = X2
          | ~ incident_c(X3,X0)
          | ~ incident_c(X2,X0)
          | ~ incident_c(X1,X0) )
        & between_c(X0,X1,X2,X3) )
   => ( ( sK1 = sK3
        | sK2 = sK3
        | sK1 = sK2
        | ~ incident_c(sK3,sK0)
        | ~ incident_c(sK2,sK0)
        | ~ incident_c(sK1,sK0) )
      & between_c(sK0,sK1,sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f38,plain,
    ? [X0,X1,X2,X3] :
      ( ( X1 = X3
        | X2 = X3
        | X1 = X2
        | ~ incident_c(X3,X0)
        | ~ incident_c(X2,X0)
        | ~ incident_c(X1,X0) )
      & between_c(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X0,X1,X2,X3] :
        ( between_c(X0,X1,X2,X3)
       => ( X1 != X3
          & X2 != X3
          & X1 != X2
          & incident_c(X3,X0)
          & incident_c(X2,X0)
          & incident_c(X1,X0) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X0,X2,X4,X6] :
        ( between_c(X0,X2,X4,X6)
       => ( X2 != X6
          & X4 != X6
          & X2 != X4
          & incident_c(X6,X0)
          & incident_c(X4,X0)
          & incident_c(X2,X0) ) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X0,X2,X4,X6] :
      ( between_c(X0,X2,X4,X6)
     => ( X2 != X6
        & X4 != X6
        & X2 != X4
        & incident_c(X6,X0)
        & incident_c(X4,X0)
        & incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DkQc5ViTrP/Vampire---4.8_17763',theorem_3_8_1) ).

fof(f429,plain,
    ( end_point(sK1,sK17(sK0,sK1,sK1,sK3))
    | ~ spl22_4 ),
    inference(backward_demodulation,[],[f194,f176]) ).

fof(f194,plain,
    end_point(sK1,sK17(sK0,sK1,sK2,sK3)),
    inference(resolution,[],[f100,f145]) ).

fof(f145,plain,
    ! [X2,X3,X0,X1] :
      ( end_point(X1,sK17(X0,X1,X2,X3))
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f424,plain,
    ~ spl22_6,
    inference(avatar_contradiction_clause,[],[f417]) ).

fof(f417,plain,
    ( $false
    | ~ spl22_6 ),
    inference(unit_resulting_resolution,[],[f152,f392]) ).

fof(f392,plain,
    ( between_c(sK0,sK1,sK2,sK1)
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f100,f184]) ).

fof(f184,plain,
    ( sK1 = sK3
    | ~ spl22_6 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f182,plain,
    ( spl22_6
  <=> sK1 = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).

fof(f152,plain,
    ! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
    inference(equality_resolution,[],[f143]) ).

fof(f143,plain,
    ! [X2,X3,X0,X1] :
      ( X1 != X3
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f390,plain,
    ~ spl22_5,
    inference(avatar_contradiction_clause,[],[f389]) ).

fof(f389,plain,
    ( $false
    | ~ spl22_5 ),
    inference(global_subsumption,[],[f365,f376]) ).

fof(f376,plain,
    ( ~ end_point(sK2,sK17(sK0,sK1,sK2,sK2))
    | ~ spl22_5 ),
    inference(backward_demodulation,[],[f229,f180]) ).

fof(f180,plain,
    ( sK2 = sK3
    | ~ spl22_5 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f178,plain,
    ( spl22_5
  <=> sK2 = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).

fof(f365,plain,
    ( end_point(sK2,sK17(sK0,sK1,sK2,sK2))
    | ~ spl22_5 ),
    inference(backward_demodulation,[],[f195,f180]) ).

fof(f195,plain,
    end_point(sK3,sK17(sK0,sK1,sK2,sK3)),
    inference(resolution,[],[f100,f146]) ).

fof(f146,plain,
    ! [X2,X3,X0,X1] :
      ( end_point(X3,sK17(X0,X1,X2,X3))
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f361,plain,
    spl22_3,
    inference(avatar_contradiction_clause,[],[f353]) ).

fof(f353,plain,
    ( $false
    | spl22_3 ),
    inference(unit_resulting_resolution,[],[f193,f219,f172,f124]) ).

fof(f124,plain,
    ! [X3,X0,X1] :
      ( incident_c(X3,X0)
      | ~ incident_c(X3,X1)
      | ~ part_of(X1,X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ( part_of(X1,X0)
        | ( ~ incident_c(sK14(X0,X1),X0)
          & incident_c(sK14(X0,X1),X1) ) )
      & ( ! [X3] :
            ( incident_c(X3,X0)
            | ~ incident_c(X3,X1) )
        | ~ part_of(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f85,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ incident_c(X2,X0)
          & incident_c(X2,X1) )
     => ( ~ incident_c(sK14(X0,X1),X0)
        & incident_c(sK14(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ( part_of(X1,X0)
        | ? [X2] :
            ( ~ incident_c(X2,X0)
            & incident_c(X2,X1) ) )
      & ( ! [X3] :
            ( incident_c(X3,X0)
            | ~ incident_c(X3,X1) )
        | ~ part_of(X1,X0) ) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( part_of(X1,X0)
        | ? [X2] :
            ( ~ incident_c(X2,X0)
            & incident_c(X2,X1) ) )
      & ( ! [X2] :
            ( incident_c(X2,X0)
            | ~ incident_c(X2,X1) )
        | ~ part_of(X1,X0) ) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( part_of(X1,X0)
    <=> ! [X2] :
          ( incident_c(X2,X0)
          | ~ incident_c(X2,X1) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( part_of(X1,X0)
    <=> ! [X2] :
          ( incident_c(X2,X1)
         => incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DkQc5ViTrP/Vampire---4.8_17763',part_of_defn) ).

fof(f172,plain,
    ( ~ incident_c(sK3,sK0)
    | spl22_3 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl22_3
  <=> incident_c(sK3,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).

fof(f219,plain,
    incident_c(sK3,sK17(sK0,sK1,sK2,sK3)),
    inference(resolution,[],[f195,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( incident_c(X0,X1)
      | ~ end_point(X0,X1) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ( ~ part_of(sK13(X0,X1),sK12(X0,X1))
          & ~ part_of(sK12(X0,X1),sK13(X0,X1))
          & incident_c(X0,sK13(X0,X1))
          & incident_c(X0,sK12(X0,X1))
          & part_of(sK13(X0,X1),X1)
          & part_of(sK12(X0,X1),X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X4,X5] :
              ( part_of(X5,X4)
              | part_of(X4,X5)
              | ~ incident_c(X0,X5)
              | ~ incident_c(X0,X4)
              | ~ part_of(X5,X1)
              | ~ part_of(X4,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f81,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ part_of(X3,X2)
          & ~ part_of(X2,X3)
          & incident_c(X0,X3)
          & incident_c(X0,X2)
          & part_of(X3,X1)
          & part_of(X2,X1) )
     => ( ~ part_of(sK13(X0,X1),sK12(X0,X1))
        & ~ part_of(sK12(X0,X1),sK13(X0,X1))
        & incident_c(X0,sK13(X0,X1))
        & incident_c(X0,sK12(X0,X1))
        & part_of(sK13(X0,X1),X1)
        & part_of(sK12(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ? [X2,X3] :
            ( ~ part_of(X3,X2)
            & ~ part_of(X2,X3)
            & incident_c(X0,X3)
            & incident_c(X0,X2)
            & part_of(X3,X1)
            & part_of(X2,X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X4,X5] :
              ( part_of(X5,X4)
              | part_of(X4,X5)
              | ~ incident_c(X0,X5)
              | ~ incident_c(X0,X4)
              | ~ part_of(X5,X1)
              | ~ part_of(X4,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(rectify,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ? [X2,X3] :
            ( ~ part_of(X3,X2)
            & ~ part_of(X2,X3)
            & incident_c(X0,X3)
            & incident_c(X0,X2)
            & part_of(X3,X1)
            & part_of(X2,X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X2,X3] :
              ( part_of(X3,X2)
              | part_of(X2,X3)
              | ~ incident_c(X0,X3)
              | ~ incident_c(X0,X2)
              | ~ part_of(X3,X1)
              | ~ part_of(X2,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ? [X2,X3] :
            ( ~ part_of(X3,X2)
            & ~ part_of(X2,X3)
            & incident_c(X0,X3)
            & incident_c(X0,X2)
            & part_of(X3,X1)
            & part_of(X2,X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X2,X3] :
              ( part_of(X3,X2)
              | part_of(X2,X3)
              | ~ incident_c(X0,X3)
              | ~ incident_c(X0,X2)
              | ~ part_of(X3,X1)
              | ~ part_of(X2,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( end_point(X0,X1)
    <=> ( ! [X2,X3] :
            ( part_of(X3,X2)
            | part_of(X2,X3)
            | ~ incident_c(X0,X3)
            | ~ incident_c(X0,X2)
            | ~ part_of(X3,X1)
            | ~ part_of(X2,X1) )
        & incident_c(X0,X1) ) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( end_point(X0,X1)
    <=> ( ! [X2,X3] :
            ( part_of(X3,X2)
            | part_of(X2,X3)
            | ~ incident_c(X0,X3)
            | ~ incident_c(X0,X2)
            | ~ part_of(X3,X1)
            | ~ part_of(X2,X1) )
        & incident_c(X0,X1) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( end_point(X0,X1)
    <=> ( ! [X2,X3] :
            ( ( incident_c(X0,X3)
              & incident_c(X0,X2)
              & part_of(X3,X1)
              & part_of(X2,X1) )
           => ( part_of(X3,X2)
              | part_of(X2,X3) ) )
        & incident_c(X0,X1) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X2,X0] :
      ( end_point(X2,X0)
    <=> ( ! [X1,X3] :
            ( ( incident_c(X2,X3)
              & incident_c(X2,X1)
              & part_of(X3,X0)
              & part_of(X1,X0) )
           => ( part_of(X3,X1)
              | part_of(X1,X3) ) )
        & incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DkQc5ViTrP/Vampire---4.8_17763',end_point_defn) ).

fof(f193,plain,
    part_of(sK17(sK0,sK1,sK2,sK3),sK0),
    inference(resolution,[],[f100,f144]) ).

fof(f144,plain,
    ! [X2,X3,X0,X1] :
      ( part_of(sK17(X0,X1,X2,X3),X0)
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f330,plain,
    spl22_2,
    inference(avatar_contradiction_clause,[],[f307]) ).

fof(f307,plain,
    ( $false
    | spl22_2 ),
    inference(unit_resulting_resolution,[],[f168,f193,f228,f124]) ).

fof(f228,plain,
    incident_c(sK2,sK17(sK0,sK1,sK2,sK3)),
    inference(resolution,[],[f196,f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( incident_c(X0,X1)
      | ~ inner_point(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f168,plain,
    ( ~ incident_c(sK2,sK0)
    | spl22_2 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl22_2
  <=> incident_c(sK2,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).

fof(f255,plain,
    spl22_1,
    inference(avatar_contradiction_clause,[],[f232]) ).

fof(f232,plain,
    ( $false
    | spl22_1 ),
    inference(unit_resulting_resolution,[],[f164,f193,f207,f124]) ).

fof(f207,plain,
    incident_c(sK1,sK17(sK0,sK1,sK2,sK3)),
    inference(resolution,[],[f194,f116]) ).

fof(f164,plain,
    ( ~ incident_c(sK1,sK0)
    | spl22_1 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl22_1
  <=> incident_c(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).

fof(f185,plain,
    ( ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | spl22_4
    | spl22_5
    | spl22_6 ),
    inference(avatar_split_clause,[],[f101,f182,f178,f174,f170,f166,f162]) ).

fof(f101,plain,
    ( sK1 = sK3
    | sK2 = sK3
    | sK1 = sK2
    | ~ incident_c(sK3,sK0)
    | ~ incident_c(sK2,sK0)
    | ~ incident_c(sK1,sK0) ),
    inference(cnf_transformation,[],[f60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO111+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35  % Computer : n009.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 23:57:35 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.DkQc5ViTrP/Vampire---4.8_17763
% 0.15/0.35  % (17870)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.41  % (17876)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.15/0.41  % (17871)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.15/0.41  % (17874)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.15/0.41  % (17872)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.15/0.42  % (17875)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.15/0.42  % (17873)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.15/0.42  % (17877)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.15/0.43  % (17874)First to succeed.
% 0.21/0.43  % (17874)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Theorem for Vampire---4
% 0.21/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43  % (17874)------------------------------
% 0.21/0.43  % (17874)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43  % (17874)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43  % (17874)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (17874)Memory used [KB]: 10362
% 0.21/0.43  % (17874)Time elapsed: 0.016 s
% 0.21/0.43  % (17874)------------------------------
% 0.21/0.43  % (17874)------------------------------
% 0.21/0.43  % (17870)Success in time 0.075 s
% 0.21/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------