TSTP Solution File: PRO009+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PRO009+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n005.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 31 18:10:11 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   80 (   7 unt;   0 def)
%            Number of atoms       :  359 (  34 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  479 ( 200   ~; 198   |;  66   &)
%                                         (   4 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-1 aty)
%            Number of variables   :  115 (  94   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f380,plain,
    $false,
    inference(avatar_sat_refutation,[],[f243,f250,f254,f287,f345,f379]) ).

fof(f379,plain,
    ( ~ spl10_2
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(avatar_contradiction_clause,[],[f378]) ).

fof(f378,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(subsumption_resolution,[],[f376,f198]) ).

fof(f198,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f61]) ).

fof(f61,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_60) ).

fof(f376,plain,
    ( tptp3 = tptp1
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(resolution,[],[f366,f294]) ).

fof(f294,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK2(sK6),X0)
        | tptp3 = X0 )
    | ~ spl10_4 ),
    inference(resolution,[],[f278,f167]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X1,X2)
      | X0 = X2
      | ~ occurrence_of(X1,X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ~ occurrence_of(X1,X2)
      | ~ occurrence_of(X1,X0)
      | X0 = X2 ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | ~ occurrence_of(X1,X2)
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ( occurrence_of(X1,X2)
        & occurrence_of(X1,X0) )
     => X0 = X2 ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X6,X4,X5] :
      ( ( occurrence_of(X4,X5)
        & occurrence_of(X4,X6) )
     => X5 = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).

fof(f278,plain,
    ( occurrence_of(sK2(sK6),tptp3)
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl10_4
  <=> occurrence_of(sK2(sK6),tptp3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f366,plain,
    ( occurrence_of(sK2(sK6),tptp1)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(subsumption_resolution,[],[f365,f278]) ).

fof(f365,plain,
    ( occurrence_of(sK2(sK6),tptp1)
    | ~ occurrence_of(sK2(sK6),tptp3)
    | ~ spl10_2
    | ~ spl10_3 ),
    inference(subsumption_resolution,[],[f360,f199]) ).

fof(f199,plain,
    occurrence_of(sK6,tptp0),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( ! [X1,X2] :
        ( ~ root_occ(X2,sK6)
        | ( ~ occurrence_of(X1,tptp1)
          & ~ occurrence_of(X1,tptp2) )
        | ~ leaf_occ(X1,sK6)
        | ~ min_precedes(X2,X1,tptp0)
        | ~ occurrence_of(X2,tptp3) )
    & occurrence_of(sK6,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f146,f147]) ).

fof(f147,plain,
    ( ? [X0] :
        ( ! [X1,X2] :
            ( ~ root_occ(X2,X0)
            | ( ~ occurrence_of(X1,tptp1)
              & ~ occurrence_of(X1,tptp2) )
            | ~ leaf_occ(X1,X0)
            | ~ min_precedes(X2,X1,tptp0)
            | ~ occurrence_of(X2,tptp3) )
        & occurrence_of(X0,tptp0) )
   => ( ! [X2,X1] :
          ( ~ root_occ(X2,sK6)
          | ( ~ occurrence_of(X1,tptp1)
            & ~ occurrence_of(X1,tptp2) )
          | ~ leaf_occ(X1,sK6)
          | ~ min_precedes(X2,X1,tptp0)
          | ~ occurrence_of(X2,tptp3) )
      & occurrence_of(sK6,tptp0) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ? [X0] :
      ( ! [X1,X2] :
          ( ~ root_occ(X2,X0)
          | ( ~ occurrence_of(X1,tptp1)
            & ~ occurrence_of(X1,tptp2) )
          | ~ leaf_occ(X1,X0)
          | ~ min_precedes(X2,X1,tptp0)
          | ~ occurrence_of(X2,tptp3) )
      & occurrence_of(X0,tptp0) ),
    inference(rectify,[],[f103]) ).

fof(f103,plain,
    ? [X0] :
      ( ! [X2,X1] :
          ( ~ root_occ(X1,X0)
          | ( ~ occurrence_of(X2,tptp1)
            & ~ occurrence_of(X2,tptp2) )
          | ~ leaf_occ(X2,X0)
          | ~ min_precedes(X1,X2,tptp0)
          | ~ occurrence_of(X1,tptp3) )
      & occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ~ ! [X0] :
        ( occurrence_of(X0,tptp0)
       => ? [X1,X2] :
            ( ( occurrence_of(X2,tptp2)
              | occurrence_of(X2,tptp1) )
            & min_precedes(X1,X2,tptp0)
            & occurrence_of(X1,tptp3)
            & leaf_occ(X2,X0)
            & root_occ(X1,X0) ) ),
    inference(rectify,[],[f64]) ).

fof(f64,negated_conjecture,
    ~ ! [X165] :
        ( occurrence_of(X165,tptp0)
       => ? [X166,X167] :
            ( ( occurrence_of(X167,tptp1)
              | occurrence_of(X167,tptp2) )
            & min_precedes(X166,X167,tptp0)
            & occurrence_of(X166,tptp3)
            & root_occ(X166,X165)
            & leaf_occ(X167,X165) ) ),
    inference(negated_conjecture,[],[f63]) ).

fof(f63,conjecture,
    ! [X165] :
      ( occurrence_of(X165,tptp0)
     => ? [X166,X167] :
          ( ( occurrence_of(X167,tptp1)
            | occurrence_of(X167,tptp2) )
          & min_precedes(X166,X167,tptp0)
          & occurrence_of(X166,tptp3)
          & root_occ(X166,X165)
          & leaf_occ(X167,X165) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f360,plain,
    ( occurrence_of(sK2(sK6),tptp1)
    | ~ occurrence_of(sK6,tptp0)
    | ~ occurrence_of(sK2(sK6),tptp3)
    | ~ spl10_2
    | ~ spl10_3 ),
    inference(resolution,[],[f348,f180]) ).

fof(f180,plain,
    ! [X0] :
      ( root_occ(sK2(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ( next_subocc(sK2(X0),sK4(X0),tptp0)
        & ( occurrence_of(sK3(X0),tptp2)
          | occurrence_of(sK3(X0),tptp1) )
        & occurrence_of(sK2(X0),tptp3)
        & root_occ(sK2(X0),X0)
        & leaf_occ(sK3(X0),X0)
        & occurrence_of(sK4(X0),tptp4)
        & next_subocc(sK4(X0),sK3(X0),tptp0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f100,f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( next_subocc(X1,X3,tptp0)
          & ( occurrence_of(X2,tptp2)
            | occurrence_of(X2,tptp1) )
          & occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & leaf_occ(X2,X0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X3,X2,tptp0) )
     => ( next_subocc(sK2(X0),sK4(X0),tptp0)
        & ( occurrence_of(sK3(X0),tptp2)
          | occurrence_of(sK3(X0),tptp1) )
        & occurrence_of(sK2(X0),tptp3)
        & root_occ(sK2(X0),X0)
        & leaf_occ(sK3(X0),X0)
        & occurrence_of(sK4(X0),tptp4)
        & next_subocc(sK4(X0),sK3(X0),tptp0) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( next_subocc(X1,X3,tptp0)
          & ( occurrence_of(X2,tptp2)
            | occurrence_of(X2,tptp1) )
          & occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & leaf_occ(X2,X0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X3,X2,tptp0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2,X3] :
          ( next_subocc(X1,X3,tptp0)
          & ( occurrence_of(X2,tptp2)
            | occurrence_of(X2,tptp1) )
          & occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & leaf_occ(X2,X0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X3,X2,tptp0) ) ),
    inference(rectify,[],[f50]) ).

fof(f50,axiom,
    ! [X161] :
      ( occurrence_of(X161,tptp0)
     => ? [X162,X164,X163] :
          ( next_subocc(X163,X164,tptp0)
          & occurrence_of(X162,tptp3)
          & next_subocc(X162,X163,tptp0)
          & root_occ(X162,X161)
          & occurrence_of(X163,tptp4)
          & leaf_occ(X164,X161)
          & ( occurrence_of(X164,tptp1)
            | occurrence_of(X164,tptp2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ root_occ(X0,sK6)
        | ~ occurrence_of(X0,tptp3)
        | occurrence_of(X0,tptp1) )
    | ~ spl10_2
    | ~ spl10_3 ),
    inference(superposition,[],[f248,f258]) ).

fof(f258,plain,
    ( ! [X0] :
        ( sK3(sK6) = X0
        | ~ occurrence_of(X0,tptp3)
        | ~ root_occ(X0,sK6) )
    | ~ spl10_2 ),
    inference(subsumption_resolution,[],[f257,f199]) ).

fof(f257,plain,
    ( ! [X0] :
        ( sK3(sK6) = X0
        | ~ occurrence_of(X0,tptp3)
        | ~ root_occ(X0,sK6)
        | ~ occurrence_of(sK6,tptp0) )
    | ~ spl10_2 ),
    inference(duplicate_literal_removal,[],[f256]) ).

fof(f256,plain,
    ( ! [X0] :
        ( sK3(sK6) = X0
        | ~ occurrence_of(X0,tptp3)
        | ~ occurrence_of(sK6,tptp0)
        | ~ root_occ(X0,sK6)
        | ~ occurrence_of(sK6,tptp0)
        | ~ root_occ(X0,sK6) )
    | ~ spl10_2 ),
    inference(resolution,[],[f242,f179]) ).

fof(f179,plain,
    ! [X0] :
      ( leaf_occ(sK3(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f242,plain,
    ( ! [X0,X1] :
        ( ~ leaf_occ(sK3(sK6),X1)
        | ~ occurrence_of(X1,tptp0)
        | ~ root_occ(X0,X1)
        | ~ occurrence_of(X0,tptp3)
        | sK3(sK6) = X0
        | ~ root_occ(X0,sK6) )
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl10_2
  <=> ! [X0,X1] :
        ( ~ leaf_occ(sK3(sK6),X1)
        | ~ root_occ(X0,sK6)
        | sK3(sK6) = X0
        | ~ occurrence_of(X1,tptp0)
        | ~ occurrence_of(X0,tptp3)
        | ~ root_occ(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f248,plain,
    ( occurrence_of(sK3(sK6),tptp1)
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl10_3
  <=> occurrence_of(sK3(sK6),tptp1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f345,plain,
    ( ~ spl10_1
    | ~ spl10_2
    | ~ spl10_4 ),
    inference(avatar_contradiction_clause,[],[f344]) ).

fof(f344,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_2
    | ~ spl10_4 ),
    inference(subsumption_resolution,[],[f337,f170]) ).

fof(f170,plain,
    tptp3 != tptp2,
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    tptp3 != tptp2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_59) ).

fof(f337,plain,
    ( tptp3 = tptp2
    | ~ spl10_1
    | ~ spl10_2
    | ~ spl10_4 ),
    inference(resolution,[],[f317,f278]) ).

fof(f317,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK2(sK6),X0)
        | tptp2 = X0 )
    | ~ spl10_1
    | ~ spl10_2
    | ~ spl10_4 ),
    inference(subsumption_resolution,[],[f316,f278]) ).

fof(f316,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK2(sK6),X0)
        | ~ occurrence_of(sK2(sK6),tptp3)
        | tptp2 = X0 )
    | ~ spl10_1
    | ~ spl10_2 ),
    inference(subsumption_resolution,[],[f315,f199]) ).

fof(f315,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK6,tptp0)
        | ~ occurrence_of(sK2(sK6),tptp3)
        | ~ occurrence_of(sK2(sK6),X0)
        | tptp2 = X0 )
    | ~ spl10_1
    | ~ spl10_2 ),
    inference(resolution,[],[f263,f180]) ).

fof(f263,plain,
    ( ! [X0,X1] :
        ( ~ root_occ(X0,sK6)
        | tptp2 = X1
        | ~ occurrence_of(X0,X1)
        | ~ occurrence_of(X0,tptp3) )
    | ~ spl10_1
    | ~ spl10_2 ),
    inference(superposition,[],[f255,f258]) ).

fof(f255,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK3(sK6),X0)
        | tptp2 = X0 )
    | ~ spl10_1 ),
    inference(resolution,[],[f238,f167]) ).

fof(f238,plain,
    ( occurrence_of(sK3(sK6),tptp2)
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl10_1
  <=> occurrence_of(sK3(sK6),tptp2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f287,plain,
    spl10_4,
    inference(avatar_contradiction_clause,[],[f286]) ).

fof(f286,plain,
    ( $false
    | spl10_4 ),
    inference(subsumption_resolution,[],[f285,f199]) ).

fof(f285,plain,
    ( ~ occurrence_of(sK6,tptp0)
    | spl10_4 ),
    inference(resolution,[],[f279,f181]) ).

fof(f181,plain,
    ! [X0] :
      ( occurrence_of(sK2(X0),tptp3)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f279,plain,
    ( ~ occurrence_of(sK2(sK6),tptp3)
    | spl10_4 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f254,plain,
    ( spl10_1
    | spl10_3 ),
    inference(avatar_contradiction_clause,[],[f253]) ).

fof(f253,plain,
    ( $false
    | spl10_1
    | spl10_3 ),
    inference(subsumption_resolution,[],[f252,f239]) ).

fof(f239,plain,
    ( ~ occurrence_of(sK3(sK6),tptp2)
    | spl10_1 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f252,plain,
    ( occurrence_of(sK3(sK6),tptp2)
    | spl10_3 ),
    inference(subsumption_resolution,[],[f251,f199]) ).

fof(f251,plain,
    ( ~ occurrence_of(sK6,tptp0)
    | occurrence_of(sK3(sK6),tptp2)
    | spl10_3 ),
    inference(resolution,[],[f249,f182]) ).

fof(f182,plain,
    ! [X0] :
      ( occurrence_of(sK3(X0),tptp1)
      | ~ occurrence_of(X0,tptp0)
      | occurrence_of(sK3(X0),tptp2) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f249,plain,
    ( ~ occurrence_of(sK3(sK6),tptp1)
    | spl10_3 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f250,plain,
    ( ~ spl10_3
    | spl10_2 ),
    inference(avatar_split_clause,[],[f245,f241,f247]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( sK3(sK6) = X0
      | ~ root_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ root_occ(X0,sK6)
      | ~ occurrence_of(X0,tptp3)
      | ~ occurrence_of(sK3(sK6),tptp1)
      | ~ leaf_occ(sK3(sK6),X1) ),
    inference(subsumption_resolution,[],[f244,f199]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(sK3(sK6),tptp1)
      | ~ root_occ(X0,sK6)
      | ~ occurrence_of(X1,tptp0)
      | ~ leaf_occ(sK3(sK6),X1)
      | ~ occurrence_of(X0,tptp3)
      | ~ root_occ(X0,X1)
      | sK3(sK6) = X0
      | ~ occurrence_of(sK6,tptp0) ),
    inference(resolution,[],[f225,f179]) ).

fof(f225,plain,
    ! [X2,X3,X4] :
      ( ~ leaf_occ(X3,sK6)
      | ~ occurrence_of(X3,tptp1)
      | ~ root_occ(X2,X4)
      | ~ leaf_occ(X3,X4)
      | ~ occurrence_of(X2,tptp3)
      | ~ occurrence_of(X4,tptp0)
      | X2 = X3
      | ~ root_occ(X2,sK6) ),
    inference(resolution,[],[f201,f190]) ).

fof(f190,plain,
    ! [X2,X3,X0,X1] :
      ( min_precedes(X0,X1,X3)
      | X0 = X1
      | ~ occurrence_of(X2,X3)
      | ~ root_occ(X0,X2)
      | ~ leaf_occ(X1,X2) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1,X2,X3] :
      ( ~ occurrence_of(X2,X3)
      | min_precedes(X0,X1,X3)
      | ~ root_occ(X0,X2)
      | ~ leaf_occ(X1,X2)
      | X0 = X1 ),
    inference(rectify,[],[f93]) ).

fof(f93,plain,
    ! [X2,X1,X0,X3] :
      ( ~ occurrence_of(X0,X3)
      | min_precedes(X2,X1,X3)
      | ~ root_occ(X2,X0)
      | ~ leaf_occ(X1,X0)
      | X1 = X2 ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X3,X0,X2,X1] :
      ( min_precedes(X2,X1,X3)
      | ~ root_occ(X2,X0)
      | ~ occurrence_of(X0,X3)
      | X1 = X2
      | ~ leaf_occ(X1,X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X3,X0,X2,X1] :
      ( ( root_occ(X2,X0)
        & occurrence_of(X0,X3)
        & X1 != X2
        & leaf_occ(X1,X0) )
     => min_precedes(X2,X1,X3) ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ! [X130,X131,X132,X133] :
      ( ( occurrence_of(X130,X133)
        & root_occ(X132,X130)
        & leaf_occ(X131,X130)
        & X131 != X132 )
     => min_precedes(X132,X131,X133) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_41) ).

fof(f201,plain,
    ! [X2,X1] :
      ( ~ min_precedes(X2,X1,tptp0)
      | ~ occurrence_of(X2,tptp3)
      | ~ leaf_occ(X1,sK6)
      | ~ occurrence_of(X1,tptp1)
      | ~ root_occ(X2,sK6) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f243,plain,
    ( ~ spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f235,f241,f237]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(sK3(sK6),X1)
      | ~ occurrence_of(X0,tptp3)
      | ~ occurrence_of(sK3(sK6),tptp2)
      | ~ root_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | sK3(sK6) = X0
      | ~ root_occ(X0,sK6) ),
    inference(subsumption_resolution,[],[f234,f199]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(sK3(sK6),X1)
      | ~ occurrence_of(X0,tptp3)
      | ~ occurrence_of(X1,tptp0)
      | ~ root_occ(X0,sK6)
      | ~ occurrence_of(sK3(sK6),tptp2)
      | ~ occurrence_of(sK6,tptp0)
      | ~ root_occ(X0,X1)
      | sK3(sK6) = X0 ),
    inference(resolution,[],[f221,f179]) ).

fof(f221,plain,
    ! [X2,X3,X4] :
      ( ~ leaf_occ(X3,sK6)
      | ~ occurrence_of(X2,tptp3)
      | ~ root_occ(X2,sK6)
      | ~ occurrence_of(X4,tptp0)
      | ~ leaf_occ(X3,X4)
      | ~ occurrence_of(X3,tptp2)
      | X2 = X3
      | ~ root_occ(X2,X4) ),
    inference(resolution,[],[f200,f190]) ).

fof(f200,plain,
    ! [X2,X1] :
      ( ~ min_precedes(X2,X1,tptp0)
      | ~ occurrence_of(X2,tptp3)
      | ~ root_occ(X2,sK6)
      | ~ occurrence_of(X1,tptp2)
      | ~ leaf_occ(X1,sK6) ),
    inference(cnf_transformation,[],[f148]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : PRO009+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 10:26:48 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.45  % (446)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.45  % (446)Instruction limit reached!
% 0.21/0.45  % (446)------------------------------
% 0.21/0.45  % (446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.45  % (446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.45  % (446)Termination reason: Unknown
% 0.21/0.45  % (446)Termination phase: Preprocessing 3
% 0.21/0.45  
% 0.21/0.45  % (446)Memory used [KB]: 1663
% 0.21/0.45  % (446)Time elapsed: 0.005 s
% 0.21/0.45  % (446)Instructions burned: 3 (million)
% 0.21/0.45  % (446)------------------------------
% 0.21/0.45  % (446)------------------------------
% 0.21/0.46  % (438)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.50  % (457)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.50  % (457)Instruction limit reached!
% 0.21/0.50  % (457)------------------------------
% 0.21/0.50  % (457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (457)Termination reason: Unknown
% 0.21/0.50  % (457)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (457)Memory used [KB]: 6396
% 0.21/0.50  % (457)Time elapsed: 0.094 s
% 0.21/0.50  % (457)Instructions burned: 9 (million)
% 0.21/0.50  % (457)------------------------------
% 0.21/0.50  % (457)------------------------------
% 0.21/0.50  % (449)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.51  % (495)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/92Mi)
% 0.21/0.51  % (456)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.52  % (495)First to succeed.
% 0.21/0.52  % (442)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (495)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Theorem for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (495)------------------------------
% 0.21/0.53  % (495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (495)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (495)Memory used [KB]: 6268
% 0.21/0.53  % (495)Time elapsed: 0.018 s
% 0.21/0.53  % (495)Instructions burned: 9 (million)
% 0.21/0.53  % (495)------------------------------
% 0.21/0.53  % (495)------------------------------
% 0.21/0.53  % (428)Success in time 0.158 s
%------------------------------------------------------------------------------