TSTP Solution File: SEU243+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU243+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 : n020.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 18:32:47 EDT 2022

% Result   : Theorem 0.16s 0.52s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   84 (   3 unt;   0 def)
%            Number of atoms       :  352 (  43 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  442 ( 174   ~; 193   |;  55   &)
%                                         (  10 <=>;   9  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  100 (  82   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f758,plain,
    $false,
    inference(avatar_sat_refutation,[],[f159,f160,f534,f638,f683,f757]) ).

fof(f757,plain,
    ( ~ spl12_1
    | spl12_2
    | spl12_23
    | spl12_24 ),
    inference(avatar_contradiction_clause,[],[f756]) ).

fof(f756,plain,
    ( $false
    | ~ spl12_1
    | spl12_2
    | spl12_23
    | spl12_24 ),
    inference(subsumption_resolution,[],[f755,f554]) ).

fof(f554,plain,
    ( subset(sK7(sK8),sF11)
    | spl12_2 ),
    inference(subsumption_resolution,[],[f553,f157]) ).

fof(f157,plain,
    ( ~ well_founded_relation(sK8)
    | spl12_2 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl12_2
  <=> well_founded_relation(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f553,plain,
    ( well_founded_relation(sK8)
    | subset(sK7(sK8),sF11) ),
    inference(subsumption_resolution,[],[f199,f132]) ).

fof(f132,plain,
    relation(sK8),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( relation(sK8)
    & ( ~ well_founded_relation(sK8)
      | ~ is_well_founded_in(sK8,relation_field(sK8)) )
    & ( well_founded_relation(sK8)
      | is_well_founded_in(sK8,relation_field(sK8)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f92,f93]) ).

fof(f93,plain,
    ( ? [X0] :
        ( relation(X0)
        & ( ~ well_founded_relation(X0)
          | ~ is_well_founded_in(X0,relation_field(X0)) )
        & ( well_founded_relation(X0)
          | is_well_founded_in(X0,relation_field(X0)) ) )
   => ( relation(sK8)
      & ( ~ well_founded_relation(sK8)
        | ~ is_well_founded_in(sK8,relation_field(sK8)) )
      & ( well_founded_relation(sK8)
        | is_well_founded_in(sK8,relation_field(sK8)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ? [X0] :
      ( relation(X0)
      & ( ~ well_founded_relation(X0)
        | ~ is_well_founded_in(X0,relation_field(X0)) )
      & ( well_founded_relation(X0)
        | is_well_founded_in(X0,relation_field(X0)) ) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ? [X0] :
      ( relation(X0)
      & ( ~ well_founded_relation(X0)
        | ~ is_well_founded_in(X0,relation_field(X0)) )
      & ( well_founded_relation(X0)
        | is_well_founded_in(X0,relation_field(X0)) ) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ? [X0] :
      ( relation(X0)
      & ( is_well_founded_in(X0,relation_field(X0))
      <~> well_founded_relation(X0) ) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ( is_well_founded_in(X0,relation_field(X0))
        <=> well_founded_relation(X0) ) ),
    inference(negated_conjecture,[],[f34]) ).

fof(f34,conjecture,
    ! [X0] :
      ( relation(X0)
     => ( is_well_founded_in(X0,relation_field(X0))
      <=> well_founded_relation(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_wellord1) ).

fof(f199,plain,
    ( ~ relation(sK8)
    | subset(sK7(sK8),sF11)
    | well_founded_relation(sK8) ),
    inference(superposition,[],[f121,f148]) ).

fof(f148,plain,
    relation_field(sK8) = sF11,
    introduced(function_definition,[]) ).

fof(f121,plain,
    ! [X0] :
      ( subset(sK7(X0),relation_field(X0))
      | ~ relation(X0)
      | well_founded_relation(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ( ( ! [X1] :
              ( ~ subset(X1,relation_field(X0))
              | empty_set = X1
              | ( in(sK6(X0,X1),X1)
                & disjoint(fiber(X0,sK6(X0,X1)),X1) ) )
          | ~ well_founded_relation(X0) )
        & ( well_founded_relation(X0)
          | ( subset(sK7(X0),relation_field(X0))
            & empty_set != sK7(X0)
            & ! [X4] :
                ( ~ in(X4,sK7(X0))
                | ~ disjoint(fiber(X0,X4),sK7(X0)) ) ) ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f84,f86,f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( in(X2,X1)
          & disjoint(fiber(X0,X2),X1) )
     => ( in(sK6(X0,X1),X1)
        & disjoint(fiber(X0,sK6(X0,X1)),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f86,plain,
    ! [X0] :
      ( ? [X3] :
          ( subset(X3,relation_field(X0))
          & empty_set != X3
          & ! [X4] :
              ( ~ in(X4,X3)
              | ~ disjoint(fiber(X0,X4),X3) ) )
     => ( subset(sK7(X0),relation_field(X0))
        & empty_set != sK7(X0)
        & ! [X4] :
            ( ~ in(X4,sK7(X0))
            | ~ disjoint(fiber(X0,X4),sK7(X0)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ! [X0] :
      ( ( ( ! [X1] :
              ( ~ subset(X1,relation_field(X0))
              | empty_set = X1
              | ? [X2] :
                  ( in(X2,X1)
                  & disjoint(fiber(X0,X2),X1) ) )
          | ~ well_founded_relation(X0) )
        & ( well_founded_relation(X0)
          | ? [X3] :
              ( subset(X3,relation_field(X0))
              & empty_set != X3
              & ! [X4] :
                  ( ~ in(X4,X3)
                  | ~ disjoint(fiber(X0,X4),X3) ) ) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ( ( ! [X1] :
              ( ~ subset(X1,relation_field(X0))
              | empty_set = X1
              | ? [X2] :
                  ( in(X2,X1)
                  & disjoint(fiber(X0,X2),X1) ) )
          | ~ well_founded_relation(X0) )
        & ( well_founded_relation(X0)
          | ? [X1] :
              ( subset(X1,relation_field(X0))
              & empty_set != X1
              & ! [X2] :
                  ( ~ in(X2,X1)
                  | ~ disjoint(fiber(X0,X2),X1) ) ) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ subset(X1,relation_field(X0))
            | empty_set = X1
            | ? [X2] :
                ( in(X2,X1)
                & disjoint(fiber(X0,X2),X1) ) )
      <=> well_founded_relation(X0) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ( ! [X1] :
            ~ ( ! [X2] :
                  ~ ( in(X2,X1)
                    & disjoint(fiber(X0,X2),X1) )
              & empty_set != X1
              & subset(X1,relation_field(X0)) )
      <=> well_founded_relation(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_wellord1) ).

fof(f755,plain,
    ( ~ subset(sK7(sK8),sF11)
    | ~ spl12_1
    | spl12_23
    | spl12_24 ),
    inference(subsumption_resolution,[],[f754,f636]) ).

fof(f636,plain,
    ( empty_set != sK7(sK8)
    | spl12_24 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl12_24
  <=> empty_set = sK7(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).

fof(f754,plain,
    ( empty_set = sK7(sK8)
    | ~ subset(sK7(sK8),sF11)
    | ~ spl12_1
    | spl12_23 ),
    inference(resolution,[],[f633,f558]) ).

fof(f558,plain,
    ( ! [X1] :
        ( in(sK5(sK8,X1),X1)
        | empty_set = X1
        | ~ subset(X1,sF11) )
    | ~ spl12_1 ),
    inference(subsumption_resolution,[],[f556,f132]) ).

fof(f556,plain,
    ( ! [X1] :
        ( ~ relation(sK8)
        | ~ subset(X1,sF11)
        | empty_set = X1
        | in(sK5(sK8,X1),X1) )
    | ~ spl12_1 ),
    inference(resolution,[],[f154,f115]) ).

fof(f115,plain,
    ! [X0,X1,X4] :
      ( ~ is_well_founded_in(X0,X1)
      | ~ relation(X0)
      | in(sK5(X0,X4),X4)
      | empty_set = X4
      | ~ subset(X4,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( is_well_founded_in(X0,X1)
            | ( ! [X3] :
                  ( ~ in(X3,sK4(X0,X1))
                  | ~ disjoint(fiber(X0,X3),sK4(X0,X1)) )
              & subset(sK4(X0,X1),X1)
              & empty_set != sK4(X0,X1) ) )
          & ( ! [X4] :
                ( ( in(sK5(X0,X4),X4)
                  & disjoint(fiber(X0,sK5(X0,X4)),X4) )
                | ~ subset(X4,X1)
                | empty_set = X4 )
            | ~ is_well_founded_in(X0,X1) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f79,f81,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ! [X3] :
              ( ~ in(X3,X2)
              | ~ disjoint(fiber(X0,X3),X2) )
          & subset(X2,X1)
          & empty_set != X2 )
     => ( ! [X3] :
            ( ~ in(X3,sK4(X0,X1))
            | ~ disjoint(fiber(X0,X3),sK4(X0,X1)) )
        & subset(sK4(X0,X1),X1)
        & empty_set != sK4(X0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X0,X4] :
      ( ? [X5] :
          ( in(X5,X4)
          & disjoint(fiber(X0,X5),X4) )
     => ( in(sK5(X0,X4),X4)
        & disjoint(fiber(X0,sK5(X0,X4)),X4) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( is_well_founded_in(X0,X1)
            | ? [X2] :
                ( ! [X3] :
                    ( ~ in(X3,X2)
                    | ~ disjoint(fiber(X0,X3),X2) )
                & subset(X2,X1)
                & empty_set != X2 ) )
          & ( ! [X4] :
                ( ? [X5] :
                    ( in(X5,X4)
                    & disjoint(fiber(X0,X5),X4) )
                | ~ subset(X4,X1)
                | empty_set = X4 )
            | ~ is_well_founded_in(X0,X1) ) ) ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( is_well_founded_in(X0,X1)
            | ? [X2] :
                ( ! [X3] :
                    ( ~ in(X3,X2)
                    | ~ disjoint(fiber(X0,X3),X2) )
                & subset(X2,X1)
                & empty_set != X2 ) )
          & ( ! [X2] :
                ( ? [X3] :
                    ( in(X3,X2)
                    & disjoint(fiber(X0,X3),X2) )
                | ~ subset(X2,X1)
                | empty_set = X2 )
            | ~ is_well_founded_in(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( is_well_founded_in(X0,X1)
        <=> ! [X2] :
              ( ? [X3] :
                  ( in(X3,X2)
                  & disjoint(fiber(X0,X3),X2) )
              | ~ subset(X2,X1)
              | empty_set = X2 ) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( ! [X2] :
              ~ ( subset(X2,X1)
                & empty_set != X2
                & ! [X3] :
                    ~ ( in(X3,X2)
                      & disjoint(fiber(X0,X3),X2) ) )
        <=> is_well_founded_in(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_wellord1) ).

fof(f154,plain,
    ( is_well_founded_in(sK8,sF11)
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl12_1
  <=> is_well_founded_in(sK8,sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f633,plain,
    ( ~ in(sK5(sK8,sK7(sK8)),sK7(sK8))
    | spl12_23 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl12_23
  <=> in(sK5(sK8,sK7(sK8)),sK7(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).

fof(f683,plain,
    ( spl12_2
    | ~ spl12_24 ),
    inference(avatar_contradiction_clause,[],[f682]) ).

fof(f682,plain,
    ( $false
    | spl12_2
    | ~ spl12_24 ),
    inference(subsumption_resolution,[],[f681,f157]) ).

fof(f681,plain,
    ( well_founded_relation(sK8)
    | ~ spl12_24 ),
    inference(subsumption_resolution,[],[f678,f132]) ).

fof(f678,plain,
    ( ~ relation(sK8)
    | well_founded_relation(sK8)
    | ~ spl12_24 ),
    inference(trivial_inequality_removal,[],[f671]) ).

fof(f671,plain,
    ( well_founded_relation(sK8)
    | ~ relation(sK8)
    | empty_set != empty_set
    | ~ spl12_24 ),
    inference(superposition,[],[f120,f637]) ).

fof(f637,plain,
    ( empty_set = sK7(sK8)
    | ~ spl12_24 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f120,plain,
    ! [X0] :
      ( empty_set != sK7(X0)
      | ~ relation(X0)
      | well_founded_relation(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f638,plain,
    ( ~ spl12_23
    | spl12_24
    | ~ spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f629,f156,f152,f635,f631]) ).

fof(f629,plain,
    ( empty_set = sK7(sK8)
    | ~ in(sK5(sK8,sK7(sK8)),sK7(sK8))
    | ~ spl12_1
    | spl12_2 ),
    inference(subsumption_resolution,[],[f628,f157]) ).

fof(f628,plain,
    ( well_founded_relation(sK8)
    | empty_set = sK7(sK8)
    | ~ in(sK5(sK8,sK7(sK8)),sK7(sK8))
    | ~ spl12_1
    | spl12_2 ),
    inference(subsumption_resolution,[],[f627,f554]) ).

fof(f627,plain,
    ( ~ subset(sK7(sK8),sF11)
    | ~ in(sK5(sK8,sK7(sK8)),sK7(sK8))
    | well_founded_relation(sK8)
    | empty_set = sK7(sK8)
    | ~ spl12_1 ),
    inference(subsumption_resolution,[],[f622,f132]) ).

fof(f622,plain,
    ( ~ in(sK5(sK8,sK7(sK8)),sK7(sK8))
    | ~ relation(sK8)
    | well_founded_relation(sK8)
    | empty_set = sK7(sK8)
    | ~ subset(sK7(sK8),sF11)
    | ~ spl12_1 ),
    inference(resolution,[],[f557,f119]) ).

fof(f119,plain,
    ! [X0,X4] :
      ( ~ disjoint(fiber(X0,X4),sK7(X0))
      | ~ relation(X0)
      | ~ in(X4,sK7(X0))
      | well_founded_relation(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f557,plain,
    ( ! [X0] :
        ( disjoint(fiber(sK8,sK5(sK8,X0)),X0)
        | ~ subset(X0,sF11)
        | empty_set = X0 )
    | ~ spl12_1 ),
    inference(subsumption_resolution,[],[f555,f132]) ).

fof(f555,plain,
    ( ! [X0] :
        ( ~ relation(sK8)
        | empty_set = X0
        | ~ subset(X0,sF11)
        | disjoint(fiber(sK8,sK5(sK8,X0)),X0) )
    | ~ spl12_1 ),
    inference(resolution,[],[f154,f114]) ).

fof(f114,plain,
    ! [X0,X1,X4] :
      ( ~ is_well_founded_in(X0,X1)
      | empty_set = X4
      | ~ subset(X4,X1)
      | disjoint(fiber(X0,sK5(X0,X4)),X4)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f534,plain,
    ( spl12_1
    | ~ spl12_2 ),
    inference(avatar_contradiction_clause,[],[f533]) ).

fof(f533,plain,
    ( $false
    | spl12_1
    | ~ spl12_2 ),
    inference(subsumption_resolution,[],[f532,f132]) ).

fof(f532,plain,
    ( ~ relation(sK8)
    | spl12_1
    | ~ spl12_2 ),
    inference(subsumption_resolution,[],[f531,f153]) ).

fof(f153,plain,
    ( ~ is_well_founded_in(sK8,sF11)
    | spl12_1 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f531,plain,
    ( is_well_founded_in(sK8,sF11)
    | ~ relation(sK8)
    | ~ spl12_2 ),
    inference(duplicate_literal_removal,[],[f530]) ).

fof(f530,plain,
    ( is_well_founded_in(sK8,sF11)
    | is_well_founded_in(sK8,sF11)
    | ~ relation(sK8)
    | ~ spl12_2 ),
    inference(resolution,[],[f529,f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( subset(sK4(X0,X1),X1)
      | ~ relation(X0)
      | is_well_founded_in(X0,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f529,plain,
    ( ! [X0] :
        ( ~ subset(sK4(sK8,X0),sF11)
        | is_well_founded_in(sK8,X0) )
    | ~ spl12_2 ),
    inference(subsumption_resolution,[],[f528,f158]) ).

fof(f158,plain,
    ( well_founded_relation(sK8)
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f528,plain,
    ! [X0] :
      ( ~ subset(sK4(sK8,X0),sF11)
      | is_well_founded_in(sK8,X0)
      | ~ well_founded_relation(sK8) ),
    inference(subsumption_resolution,[],[f526,f132]) ).

fof(f526,plain,
    ! [X0] :
      ( ~ subset(sK4(sK8,X0),sF11)
      | is_well_founded_in(sK8,X0)
      | ~ relation(sK8)
      | ~ well_founded_relation(sK8) ),
    inference(superposition,[],[f524,f148]) ).

fof(f524,plain,
    ! [X2,X1] :
      ( ~ subset(sK4(X1,X2),relation_field(X1))
      | ~ well_founded_relation(X1)
      | ~ relation(X1)
      | is_well_founded_in(X1,X2) ),
    inference(subsumption_resolution,[],[f523,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( empty_set != sK4(X0,X1)
      | is_well_founded_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f523,plain,
    ! [X2,X1] :
      ( ~ relation(X1)
      | empty_set = sK4(X1,X2)
      | ~ well_founded_relation(X1)
      | ~ subset(sK4(X1,X2),relation_field(X1))
      | is_well_founded_in(X1,X2) ),
    inference(subsumption_resolution,[],[f522,f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( in(sK6(X0,X1),X1)
      | ~ relation(X0)
      | empty_set = X1
      | ~ subset(X1,relation_field(X0))
      | ~ well_founded_relation(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f522,plain,
    ! [X2,X1] :
      ( ~ well_founded_relation(X1)
      | ~ in(sK6(X1,sK4(X1,X2)),sK4(X1,X2))
      | is_well_founded_in(X1,X2)
      | ~ relation(X1)
      | empty_set = sK4(X1,X2)
      | ~ subset(sK4(X1,X2),relation_field(X1)) ),
    inference(duplicate_literal_removal,[],[f519]) ).

fof(f519,plain,
    ! [X2,X1] :
      ( ~ relation(X1)
      | empty_set = sK4(X1,X2)
      | ~ relation(X1)
      | ~ well_founded_relation(X1)
      | ~ subset(sK4(X1,X2),relation_field(X1))
      | is_well_founded_in(X1,X2)
      | ~ in(sK6(X1,sK4(X1,X2)),sK4(X1,X2)) ),
    inference(resolution,[],[f122,f118]) ).

fof(f118,plain,
    ! [X3,X0,X1] :
      ( ~ disjoint(fiber(X0,X3),sK4(X0,X1))
      | ~ relation(X0)
      | ~ in(X3,sK4(X0,X1))
      | is_well_founded_in(X0,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( disjoint(fiber(X0,sK6(X0,X1)),X1)
      | ~ relation(X0)
      | ~ subset(X1,relation_field(X0))
      | ~ well_founded_relation(X0)
      | empty_set = X1 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f160,plain,
    ( ~ spl12_1
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f149,f156,f152]) ).

fof(f149,plain,
    ( ~ well_founded_relation(sK8)
    | ~ is_well_founded_in(sK8,sF11) ),
    inference(definition_folding,[],[f131,f148]) ).

fof(f131,plain,
    ( ~ well_founded_relation(sK8)
    | ~ is_well_founded_in(sK8,relation_field(sK8)) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f159,plain,
    ( spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f150,f156,f152]) ).

fof(f150,plain,
    ( well_founded_relation(sK8)
    | is_well_founded_in(sK8,sF11) ),
    inference(definition_folding,[],[f130,f148]) ).

fof(f130,plain,
    ( well_founded_relation(sK8)
    | is_well_founded_in(sK8,relation_field(sK8)) ),
    inference(cnf_transformation,[],[f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SEU243+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 14:58:45 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.46  % (12004)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.47  % (11996)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)
% 0.16/0.47  % (11997)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)
% 0.16/0.48  % (11995)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48  % (12003)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.49  TRYING [1]
% 0.16/0.49  TRYING [2]
% 0.16/0.49  TRYING [3]
% 0.16/0.49  % (12000)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.49  % (12008)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.50  % (12002)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.50  % (12001)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.50  % (12013)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)
% 0.16/0.50  TRYING [1]
% 0.16/0.50  % (11991)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.50  % (11992)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)
% 0.16/0.50  TRYING [1]
% 0.16/0.50  % (11992)Refutation not found, incomplete strategy% (11992)------------------------------
% 0.16/0.50  % (11992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (11992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (11992)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.50  
% 0.16/0.50  % (11992)Memory used [KB]: 5500
% 0.16/0.50  % (11992)Time elapsed: 0.129 s
% 0.16/0.50  % (11992)Instructions burned: 4 (million)
% 0.16/0.50  % (11992)------------------------------
% 0.16/0.50  % (11992)------------------------------
% 0.16/0.50  TRYING [2]
% 0.16/0.50  TRYING [2]
% 0.16/0.50  % (12004)First to succeed.
% 0.16/0.51  % (12012)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.51  % (11993)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.51  % (12005)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)
% 0.16/0.51  % (11994)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51  % (12016)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.51  TRYING [3]
% 0.16/0.52  % (11999)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.52  % (12020)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.52  % (11999)Instruction limit reached!
% 0.16/0.52  % (11999)------------------------------
% 0.16/0.52  % (11999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (11999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (11999)Termination reason: Unknown
% 0.16/0.52  % (11999)Termination phase: Blocked clause elimination
% 0.16/0.52  
% 0.16/0.52  % (11999)Memory used [KB]: 895
% 0.16/0.52  % (11999)Time elapsed: 0.003 s
% 0.16/0.52  % (11999)Instructions burned: 3 (million)
% 0.16/0.52  % (11999)------------------------------
% 0.16/0.52  % (11999)------------------------------
% 0.16/0.52  % (12019)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.52  % (12004)Refutation found. Thanks to Tanya!
% 0.16/0.52  % SZS status Theorem for theBenchmark
% 0.16/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.52  % (12004)------------------------------
% 0.16/0.52  % (12004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (12004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (12004)Termination reason: Refutation
% 0.16/0.52  
% 0.16/0.52  % (12004)Memory used [KB]: 5756
% 0.16/0.52  % (12004)Time elapsed: 0.132 s
% 0.16/0.52  % (12004)Instructions burned: 20 (million)
% 0.16/0.52  % (12004)------------------------------
% 0.16/0.52  % (12004)------------------------------
% 0.16/0.52  % (11990)Success in time 0.196 s
%------------------------------------------------------------------------------