TSTP Solution File: SEU208+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU208+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n022.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 18:32:31 EDT 2022

% Result   : Theorem 0.14s 0.51s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   65 (   8 unt;   0 def)
%            Number of atoms       :  314 (  24 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  392 ( 143   ~; 147   |;  74   &)
%                                         (  13 <=>;  14  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :  187 ( 135   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f542,plain,
    $false,
    inference(subsumption_resolution,[],[f541,f387]) ).

fof(f387,plain,
    in(sK8,sF16),
    inference(duplicate_literal_removal,[],[f386]) ).

fof(f386,plain,
    ( in(sK8,sF16)
    | in(sK8,sF16) ),
    inference(forward_demodulation,[],[f384,f131]) ).

fof(f131,plain,
    sF16 = relation_inverse_image(sK6,sK7),
    introduced(function_definition,[]) ).

fof(f384,plain,
    ( in(sK8,relation_inverse_image(sK6,sK7))
    | in(sK8,sF16) ),
    inference(duplicate_literal_removal,[],[f383]) ).

fof(f383,plain,
    ( in(sK8,relation_inverse_image(sK6,sK7))
    | in(sK8,sF16)
    | in(sK8,sF16) ),
    inference(resolution,[],[f308,f134]) ).

fof(f134,plain,
    ( in(sK9,sK7)
    | in(sK8,sF16) ),
    inference(definition_folding,[],[f103,f131]) ).

fof(f103,plain,
    ( in(sK9,sK7)
    | in(sK8,relation_inverse_image(sK6,sK7)) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( relation(sK6)
    & ( ! [X3] :
          ( ~ in(X3,relation_rng(sK6))
          | ~ in(X3,sK7)
          | ~ in(ordered_pair(sK8,X3),sK6) )
      | ~ in(sK8,relation_inverse_image(sK6,sK7)) )
    & ( ( in(sK9,relation_rng(sK6))
        & in(sK9,sK7)
        & in(ordered_pair(sK8,sK9),sK6) )
      | in(sK8,relation_inverse_image(sK6,sK7)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f69,f71,f70]) ).

fof(f70,plain,
    ( ? [X0,X1,X2] :
        ( relation(X0)
        & ( ! [X3] :
              ( ~ in(X3,relation_rng(X0))
              | ~ in(X3,X1)
              | ~ in(ordered_pair(X2,X3),X0) )
          | ~ in(X2,relation_inverse_image(X0,X1)) )
        & ( ? [X4] :
              ( in(X4,relation_rng(X0))
              & in(X4,X1)
              & in(ordered_pair(X2,X4),X0) )
          | in(X2,relation_inverse_image(X0,X1)) ) )
   => ( relation(sK6)
      & ( ! [X3] :
            ( ~ in(X3,relation_rng(sK6))
            | ~ in(X3,sK7)
            | ~ in(ordered_pair(sK8,X3),sK6) )
        | ~ in(sK8,relation_inverse_image(sK6,sK7)) )
      & ( ? [X4] :
            ( in(X4,relation_rng(sK6))
            & in(X4,sK7)
            & in(ordered_pair(sK8,X4),sK6) )
        | in(sK8,relation_inverse_image(sK6,sK7)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ( ? [X4] :
        ( in(X4,relation_rng(sK6))
        & in(X4,sK7)
        & in(ordered_pair(sK8,X4),sK6) )
   => ( in(sK9,relation_rng(sK6))
      & in(sK9,sK7)
      & in(ordered_pair(sK8,sK9),sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ? [X0,X1,X2] :
      ( relation(X0)
      & ( ! [X3] :
            ( ~ in(X3,relation_rng(X0))
            | ~ in(X3,X1)
            | ~ in(ordered_pair(X2,X3),X0) )
        | ~ in(X2,relation_inverse_image(X0,X1)) )
      & ( ? [X4] :
            ( in(X4,relation_rng(X0))
            & in(X4,X1)
            & in(ordered_pair(X2,X4),X0) )
        | in(X2,relation_inverse_image(X0,X1)) ) ),
    inference(rectify,[],[f68]) ).

fof(f68,plain,
    ? [X0,X1,X2] :
      ( relation(X0)
      & ( ! [X3] :
            ( ~ in(X3,relation_rng(X0))
            | ~ in(X3,X1)
            | ~ in(ordered_pair(X2,X3),X0) )
        | ~ in(X2,relation_inverse_image(X0,X1)) )
      & ( ? [X3] :
            ( in(X3,relation_rng(X0))
            & in(X3,X1)
            & in(ordered_pair(X2,X3),X0) )
        | in(X2,relation_inverse_image(X0,X1)) ) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ? [X0,X1,X2] :
      ( relation(X0)
      & ( ! [X3] :
            ( ~ in(X3,relation_rng(X0))
            | ~ in(X3,X1)
            | ~ in(ordered_pair(X2,X3),X0) )
        | ~ in(X2,relation_inverse_image(X0,X1)) )
      & ( ? [X3] :
            ( in(X3,relation_rng(X0))
            & in(X3,X1)
            & in(ordered_pair(X2,X3),X0) )
        | in(X2,relation_inverse_image(X0,X1)) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ? [X0,X1,X2] :
      ( relation(X0)
      & ( in(X2,relation_inverse_image(X0,X1))
      <~> ? [X3] :
            ( in(X3,relation_rng(X0))
            & in(X3,X1)
            & in(ordered_pair(X2,X3),X0) ) ) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ~ ! [X0,X2,X1] :
        ( relation(X0)
       => ( in(X2,relation_inverse_image(X0,X1))
        <=> ? [X3] :
              ( in(X3,relation_rng(X0))
              & in(X3,X1)
              & in(ordered_pair(X2,X3),X0) ) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,negated_conjecture,
    ~ ! [X2,X1,X0] :
        ( relation(X2)
       => ( ? [X3] :
              ( in(ordered_pair(X0,X3),X2)
              & in(X3,relation_rng(X2))
              & in(X3,X1) )
        <=> in(X0,relation_inverse_image(X2,X1)) ) ),
    inference(negated_conjecture,[],[f26]) ).

fof(f26,conjecture,
    ! [X2,X1,X0] :
      ( relation(X2)
     => ( ? [X3] :
            ( in(ordered_pair(X0,X3),X2)
            & in(X3,relation_rng(X2))
            & in(X3,X1) )
      <=> in(X0,relation_inverse_image(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t166_relat_1) ).

fof(f308,plain,
    ! [X0] :
      ( ~ in(sK9,X0)
      | in(sK8,relation_inverse_image(sK6,X0))
      | in(sK8,sF16) ),
    inference(subsumption_resolution,[],[f307,f106]) ).

fof(f106,plain,
    relation(sK6),
    inference(cnf_transformation,[],[f72]) ).

fof(f307,plain,
    ! [X0] :
      ( in(sK8,relation_inverse_image(sK6,X0))
      | ~ in(sK9,X0)
      | in(sK8,sF16)
      | ~ relation(sK6) ),
    inference(resolution,[],[f193,f136]) ).

fof(f136,plain,
    ( in(sF17,sK6)
    | in(sK8,sF16) ),
    inference(definition_folding,[],[f102,f131,f135]) ).

fof(f135,plain,
    ordered_pair(sK8,sK9) = sF17,
    introduced(function_definition,[]) ).

fof(f102,plain,
    ( in(ordered_pair(sK8,sK9),sK6)
    | in(sK8,relation_inverse_image(sK6,sK7)) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ in(sF17,X0)
      | ~ in(sK9,X1)
      | in(sK8,relation_inverse_image(X0,X1))
      | ~ relation(X0) ),
    inference(superposition,[],[f129,f135]) ).

fof(f129,plain,
    ! [X0,X1,X8,X6] :
      ( ~ in(ordered_pair(X6,X8),X0)
      | in(X6,relation_inverse_image(X0,X1))
      | ~ in(X8,X1)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,plain,
    ! [X2,X0,X1,X8,X6] :
      ( ~ relation(X0)
      | in(X6,X2)
      | ~ in(ordered_pair(X6,X8),X0)
      | ~ in(X8,X1)
      | relation_inverse_image(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ( ( ~ in(sK12(X0,X1,X2),X2)
                | ! [X4] :
                    ( ~ in(ordered_pair(sK12(X0,X1,X2),X4),X0)
                    | ~ in(X4,X1) ) )
              & ( in(sK12(X0,X1,X2),X2)
                | ( in(ordered_pair(sK12(X0,X1,X2),sK13(X0,X1,X2)),X0)
                  & in(sK13(X0,X1,X2),X1) ) ) ) )
          & ( ! [X6] :
                ( ( ( in(ordered_pair(X6,sK14(X0,X1,X6)),X0)
                    & in(sK14(X0,X1,X6),X1) )
                  | ~ in(X6,X2) )
                & ( in(X6,X2)
                  | ! [X8] :
                      ( ~ in(ordered_pair(X6,X8),X0)
                      | ~ in(X8,X1) ) ) )
            | relation_inverse_image(X0,X1) != X2 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f80,f83,f82,f81]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X2)
            | ! [X4] :
                ( ~ in(ordered_pair(X3,X4),X0)
                | ~ in(X4,X1) ) )
          & ( in(X3,X2)
            | ? [X5] :
                ( in(ordered_pair(X3,X5),X0)
                & in(X5,X1) ) ) )
     => ( ( ~ in(sK12(X0,X1,X2),X2)
          | ! [X4] :
              ( ~ in(ordered_pair(sK12(X0,X1,X2),X4),X0)
              | ~ in(X4,X1) ) )
        & ( in(sK12(X0,X1,X2),X2)
          | ? [X5] :
              ( in(ordered_pair(sK12(X0,X1,X2),X5),X0)
              & in(X5,X1) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( in(ordered_pair(sK12(X0,X1,X2),X5),X0)
          & in(X5,X1) )
     => ( in(ordered_pair(sK12(X0,X1,X2),sK13(X0,X1,X2)),X0)
        & in(sK13(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ! [X0,X1,X6] :
      ( ? [X7] :
          ( in(ordered_pair(X6,X7),X0)
          & in(X7,X1) )
     => ( in(ordered_pair(X6,sK14(X0,X1,X6)),X0)
        & in(sK14(X0,X1,X6),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ~ in(X3,X2)
                  | ! [X4] :
                      ( ~ in(ordered_pair(X3,X4),X0)
                      | ~ in(X4,X1) ) )
                & ( in(X3,X2)
                  | ? [X5] :
                      ( in(ordered_pair(X3,X5),X0)
                      & in(X5,X1) ) ) ) )
          & ( ! [X6] :
                ( ( ? [X7] :
                      ( in(ordered_pair(X6,X7),X0)
                      & in(X7,X1) )
                  | ~ in(X6,X2) )
                & ( in(X6,X2)
                  | ! [X8] :
                      ( ~ in(ordered_pair(X6,X8),X0)
                      | ~ in(X8,X1) ) ) )
            | relation_inverse_image(X0,X1) != X2 ) ) ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X2,X1] :
          ( ( relation_inverse_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,X1)
                  | ! [X4] :
                      ( ~ in(ordered_pair(X3,X4),X0)
                      | ~ in(X4,X2) ) )
                & ( in(X3,X1)
                  | ? [X4] :
                      ( in(ordered_pair(X3,X4),X0)
                      & in(X4,X2) ) ) ) )
          & ( ! [X3] :
                ( ( ? [X4] :
                      ( in(ordered_pair(X3,X4),X0)
                      & in(X4,X2) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ! [X4] :
                      ( ~ in(ordered_pair(X3,X4),X0)
                      | ~ in(X4,X2) ) ) )
            | relation_inverse_image(X0,X2) != X1 ) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X2,X1] :
          ( relation_inverse_image(X0,X2) = X1
        <=> ! [X3] :
              ( ? [X4] :
                  ( in(ordered_pair(X3,X4),X0)
                  & in(X4,X2) )
            <=> in(X3,X1) ) ) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( relation(X0)
     => ! [X2,X1] :
          ( relation_inverse_image(X0,X2) = X1
        <=> ! [X3] :
              ( ? [X4] :
                  ( in(ordered_pair(X3,X4),X0)
                  & in(X4,X2) )
            <=> in(X3,X1) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X2,X1] :
          ( ! [X3] :
              ( ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X3,X4),X0) )
            <=> in(X3,X2) )
        <=> relation_inverse_image(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).

fof(f541,plain,
    ~ in(sK8,sF16),
    inference(forward_demodulation,[],[f540,f131]) ).

fof(f540,plain,
    ~ in(sK8,relation_inverse_image(sK6,sK7)),
    inference(subsumption_resolution,[],[f539,f106]) ).

fof(f539,plain,
    ( ~ in(sK8,relation_inverse_image(sK6,sK7))
    | ~ relation(sK6) ),
    inference(duplicate_literal_removal,[],[f538]) ).

fof(f538,plain,
    ( ~ in(sK8,relation_inverse_image(sK6,sK7))
    | ~ relation(sK6)
    | ~ in(sK8,relation_inverse_image(sK6,sK7)) ),
    inference(resolution,[],[f536,f128]) ).

fof(f128,plain,
    ! [X0,X1,X6] :
      ( in(sK14(X0,X1,X6),X1)
      | ~ relation(X0)
      | ~ in(X6,relation_inverse_image(X0,X1)) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,plain,
    ! [X2,X0,X1,X6] :
      ( ~ relation(X0)
      | in(sK14(X0,X1,X6),X1)
      | ~ in(X6,X2)
      | relation_inverse_image(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f536,plain,
    ! [X0] :
      ( ~ in(sK14(sK6,X0,sK8),sK7)
      | ~ in(sK8,relation_inverse_image(sK6,X0)) ),
    inference(subsumption_resolution,[],[f535,f312]) ).

fof(f312,plain,
    ! [X0,X1] :
      ( in(sK14(sK6,X0,X1),sF15)
      | ~ in(X1,relation_inverse_image(sK6,X0)) ),
    inference(subsumption_resolution,[],[f310,f106]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( in(sK14(sK6,X0,X1),sF15)
      | ~ in(X1,relation_inverse_image(sK6,X0))
      | ~ relation(sK6) ),
    inference(superposition,[],[f189,f130]) ).

fof(f130,plain,
    relation_rng(sK6) = sF15,
    introduced(function_definition,[]) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( in(sK14(X1,X2,X0),relation_rng(X1))
      | ~ in(X0,relation_inverse_image(X1,X2))
      | ~ relation(X1) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X2,X0,X1] :
      ( in(sK14(X1,X2,X0),relation_rng(X1))
      | ~ relation(X1)
      | ~ in(X0,relation_inverse_image(X1,X2))
      | ~ relation(X1) ),
    inference(resolution,[],[f127,f125]) ).

fof(f125,plain,
    ! [X0,X6,X5] :
      ( ~ in(ordered_pair(X6,X5),X0)
      | ~ relation(X0)
      | in(X5,relation_rng(X0)) ),
    inference(equality_resolution,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X6,X5),X0)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(X3,sK2(X0,X1)),X0)
                | ~ in(sK2(X0,X1),X1) )
              & ( in(ordered_pair(sK3(X0,X1),sK2(X0,X1)),X0)
                | in(sK2(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(ordered_pair(sK4(X0,X5),X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f59,f62,f61,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X4,X2),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(X3,sK2(X0,X1)),X0)
          | ~ in(sK2(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(X4,sK2(X0,X1)),X0)
          | in(sK2(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(X4,sK2(X0,X1)),X0)
     => in(ordered_pair(sK3(X0,X1),sK2(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X7,X5),X0)
     => in(ordered_pair(sK4(X0,X5),X5),X0) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f127,plain,
    ! [X0,X1,X6] :
      ( in(ordered_pair(X6,sK14(X0,X1,X6)),X0)
      | ~ in(X6,relation_inverse_image(X0,X1))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f117]) ).

fof(f117,plain,
    ! [X2,X0,X1,X6] :
      ( ~ relation(X0)
      | in(ordered_pair(X6,sK14(X0,X1,X6)),X0)
      | ~ in(X6,X2)
      | relation_inverse_image(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f535,plain,
    ! [X0] :
      ( ~ in(sK14(sK6,X0,sK8),sK7)
      | ~ in(sK8,relation_inverse_image(sK6,X0))
      | ~ in(sK14(sK6,X0,sK8),sF15) ),
    inference(subsumption_resolution,[],[f533,f106]) ).

fof(f533,plain,
    ! [X0] :
      ( ~ relation(sK6)
      | ~ in(sK8,relation_inverse_image(sK6,X0))
      | ~ in(sK14(sK6,X0,sK8),sK7)
      | ~ in(sK14(sK6,X0,sK8),sF15) ),
    inference(resolution,[],[f388,f127]) ).

fof(f388,plain,
    ! [X0] :
      ( ~ in(ordered_pair(sK8,X0),sK6)
      | ~ in(X0,sK7)
      | ~ in(X0,sF15) ),
    inference(resolution,[],[f387,f132]) ).

fof(f132,plain,
    ! [X3] :
      ( ~ in(sK8,sF16)
      | ~ in(ordered_pair(sK8,X3),sK6)
      | ~ in(X3,sK7)
      | ~ in(X3,sF15) ),
    inference(definition_folding,[],[f105,f131,f130]) ).

fof(f105,plain,
    ! [X3] :
      ( ~ in(X3,relation_rng(sK6))
      | ~ in(X3,sK7)
      | ~ in(ordered_pair(sK8,X3),sK6)
      | ~ in(sK8,relation_inverse_image(sK6,sK7)) ),
    inference(cnf_transformation,[],[f72]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SEU208+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30  % Computer : n022.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 14:52:11 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.45  % (19054)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.45  % (19055)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.45  % (19066)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.45  % (19062)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.45  % (19063)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.14/0.46  % (19074)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.46  % (19058)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.47  % (19071)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.47  TRYING [1]
% 0.14/0.47  TRYING [2]
% 0.14/0.48  % (19055)Instruction limit reached!
% 0.14/0.48  % (19055)------------------------------
% 0.14/0.48  % (19055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48  % (19055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48  % (19055)Termination reason: Unknown
% 0.14/0.48  % (19055)Termination phase: Saturation
% 0.14/0.48  
% 0.14/0.48  % (19055)Memory used [KB]: 5500
% 0.14/0.48  % (19055)Time elapsed: 0.117 s
% 0.14/0.48  % (19055)Instructions burned: 8 (million)
% 0.14/0.48  % (19055)------------------------------
% 0.14/0.48  % (19055)------------------------------
% 0.14/0.48  TRYING [3]
% 0.14/0.48  % (19070)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.14/0.49  % (19053)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.14/0.49  % (19061)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.50  % (19063)First to succeed.
% 0.14/0.50  % (19060)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.50  % (19072)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.51  % (19065)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.14/0.51  % (19049)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.51  % (19063)Refutation found. Thanks to Tanya!
% 0.14/0.51  % SZS status Theorem for theBenchmark
% 0.14/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.51  % (19063)------------------------------
% 0.14/0.51  % (19063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51  % (19063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51  % (19063)Termination reason: Refutation
% 0.14/0.51  
% 0.14/0.51  % (19063)Memory used [KB]: 1407
% 0.14/0.51  % (19063)Time elapsed: 0.133 s
% 0.14/0.51  % (19063)Instructions burned: 25 (million)
% 0.14/0.51  % (19063)------------------------------
% 0.14/0.51  % (19063)------------------------------
% 0.14/0.51  % (19047)Success in time 0.204 s
%------------------------------------------------------------------------------