TSTP Solution File: SWC101+1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC101+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n027.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 18:41:45 EDT 2022

% Result   : Theorem 1.68s 0.57s
% Output   : Refutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   63 (  14 unt;   0 def)
%            Number of atoms       :  409 ( 156 equ)
%            Maximal formula atoms :   40 (   6 avg)
%            Number of connectives :  543 ( 197   ~; 164   |; 151   &)
%                                         (   9 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   6 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  131 (  85   !;  46   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1342,plain,
    $false,
    inference(avatar_sat_refutation,[],[f613,f632,f643,f644,f1235,f1341]) ).

fof(f1341,plain,
    ( spl62_2
    | ~ spl62_4
    | spl62_6 ),
    inference(avatar_contradiction_clause,[],[f1340]) ).

fof(f1340,plain,
    ( $false
    | spl62_2
    | ~ spl62_4
    | spl62_6 ),
    inference(subsumption_resolution,[],[f1339,f621]) ).

fof(f621,plain,
    ( ssList(nil)
    | ~ spl62_4 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f620,plain,
    ( spl62_4
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_4])]) ).

fof(f1339,plain,
    ( ~ ssList(nil)
    | spl62_2
    | spl62_6 ),
    inference(subsumption_resolution,[],[f1338,f612]) ).

fof(f612,plain,
    ( nil != sK36
    | spl62_2 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f610,plain,
    ( spl62_2
  <=> nil = sK36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_2])]) ).

fof(f1338,plain,
    ( nil = sK36
    | ~ ssList(nil)
    | spl62_6 ),
    inference(subsumption_resolution,[],[f1333,f473]) ).

fof(f473,plain,
    ssList(sK36),
    inference(cnf_transformation,[],[f305]) ).

fof(f305,plain,
    ( ssList(sK35)
    & ssList(sK36)
    & ( ~ frontsegP(sK35,sK34)
      | ~ neq(sK34,nil) )
    & sK34 = sK36
    & ( nil = sK37
      | nil != sK36 )
    & sK35 = sK37
    & ssList(sK37)
    & ( nil != sK35
      | nil != sK34 )
    & app(sK36,sK38) = sK37
    & equalelemsP(sK36)
    & ! [X5] :
        ( ! [X6] :
            ( ! [X7] :
                ( app(X7,cons(X5,nil)) != sK36
                | ~ ssList(X7) )
            | ~ ssList(X6)
            | app(cons(X5,nil),X6) != sK38 )
        | ~ ssItem(X5) )
    & ssList(sK38)
    & ssList(sK34) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37,sK38])],[f170,f304,f303,f302,f301,f300]) ).

fof(f300,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ( ~ frontsegP(X1,X0)
                      | ~ neq(X0,nil) )
                    & X0 = X2
                    & ( nil = X3
                      | nil != X2 )
                    & X1 = X3
                    & ssList(X3)
                    & ( nil != X1
                      | nil != X0 )
                    & ? [X4] :
                        ( app(X2,X4) = X3
                        & equalelemsP(X2)
                        & ! [X5] :
                            ( ! [X6] :
                                ( ! [X7] :
                                    ( app(X7,cons(X5,nil)) != X2
                                    | ~ ssList(X7) )
                                | ~ ssList(X6)
                                | app(cons(X5,nil),X6) != X4 )
                            | ~ ssItem(X5) )
                        & ssList(X4) ) ) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ( ~ frontsegP(X1,sK34)
                    | ~ neq(sK34,nil) )
                  & sK34 = X2
                  & ( nil = X3
                    | nil != X2 )
                  & X1 = X3
                  & ssList(X3)
                  & ( nil != X1
                    | nil != sK34 )
                  & ? [X4] :
                      ( app(X2,X4) = X3
                      & equalelemsP(X2)
                      & ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( app(X7,cons(X5,nil)) != X2
                                  | ~ ssList(X7) )
                              | ~ ssList(X6)
                              | app(cons(X5,nil),X6) != X4 )
                          | ~ ssItem(X5) )
                      & ssList(X4) ) ) ) )
      & ssList(sK34) ) ),
    introduced(choice_axiom,[]) ).

fof(f301,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ( ~ frontsegP(X1,sK34)
                  | ~ neq(sK34,nil) )
                & sK34 = X2
                & ( nil = X3
                  | nil != X2 )
                & X1 = X3
                & ssList(X3)
                & ( nil != X1
                  | nil != sK34 )
                & ? [X4] :
                    ( app(X2,X4) = X3
                    & equalelemsP(X2)
                    & ! [X5] :
                        ( ! [X6] :
                            ( ! [X7] :
                                ( app(X7,cons(X5,nil)) != X2
                                | ~ ssList(X7) )
                            | ~ ssList(X6)
                            | app(cons(X5,nil),X6) != X4 )
                        | ~ ssItem(X5) )
                    & ssList(X4) ) ) ) )
   => ( ssList(sK35)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ( ~ frontsegP(sK35,sK34)
                | ~ neq(sK34,nil) )
              & sK34 = X2
              & ( nil = X3
                | nil != X2 )
              & sK35 = X3
              & ssList(X3)
              & ( nil != sK35
                | nil != sK34 )
              & ? [X4] :
                  ( app(X2,X4) = X3
                  & equalelemsP(X2)
                  & ! [X5] :
                      ( ! [X6] :
                          ( ! [X7] :
                              ( app(X7,cons(X5,nil)) != X2
                              | ~ ssList(X7) )
                          | ~ ssList(X6)
                          | app(cons(X5,nil),X6) != X4 )
                      | ~ ssItem(X5) )
                  & ssList(X4) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f302,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ( ~ frontsegP(sK35,sK34)
              | ~ neq(sK34,nil) )
            & sK34 = X2
            & ( nil = X3
              | nil != X2 )
            & sK35 = X3
            & ssList(X3)
            & ( nil != sK35
              | nil != sK34 )
            & ? [X4] :
                ( app(X2,X4) = X3
                & equalelemsP(X2)
                & ! [X5] :
                    ( ! [X6] :
                        ( ! [X7] :
                            ( app(X7,cons(X5,nil)) != X2
                            | ~ ssList(X7) )
                        | ~ ssList(X6)
                        | app(cons(X5,nil),X6) != X4 )
                    | ~ ssItem(X5) )
                & ssList(X4) ) ) )
   => ( ssList(sK36)
      & ? [X3] :
          ( ( ~ frontsegP(sK35,sK34)
            | ~ neq(sK34,nil) )
          & sK34 = sK36
          & ( nil = X3
            | nil != sK36 )
          & sK35 = X3
          & ssList(X3)
          & ( nil != sK35
            | nil != sK34 )
          & ? [X4] :
              ( app(sK36,X4) = X3
              & equalelemsP(sK36)
              & ! [X5] :
                  ( ! [X6] :
                      ( ! [X7] :
                          ( app(X7,cons(X5,nil)) != sK36
                          | ~ ssList(X7) )
                      | ~ ssList(X6)
                      | app(cons(X5,nil),X6) != X4 )
                  | ~ ssItem(X5) )
              & ssList(X4) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f303,plain,
    ( ? [X3] :
        ( ( ~ frontsegP(sK35,sK34)
          | ~ neq(sK34,nil) )
        & sK34 = sK36
        & ( nil = X3
          | nil != sK36 )
        & sK35 = X3
        & ssList(X3)
        & ( nil != sK35
          | nil != sK34 )
        & ? [X4] :
            ( app(sK36,X4) = X3
            & equalelemsP(sK36)
            & ! [X5] :
                ( ! [X6] :
                    ( ! [X7] :
                        ( app(X7,cons(X5,nil)) != sK36
                        | ~ ssList(X7) )
                    | ~ ssList(X6)
                    | app(cons(X5,nil),X6) != X4 )
                | ~ ssItem(X5) )
            & ssList(X4) ) )
   => ( ( ~ frontsegP(sK35,sK34)
        | ~ neq(sK34,nil) )
      & sK34 = sK36
      & ( nil = sK37
        | nil != sK36 )
      & sK35 = sK37
      & ssList(sK37)
      & ( nil != sK35
        | nil != sK34 )
      & ? [X4] :
          ( app(sK36,X4) = sK37
          & equalelemsP(sK36)
          & ! [X5] :
              ( ! [X6] :
                  ( ! [X7] :
                      ( app(X7,cons(X5,nil)) != sK36
                      | ~ ssList(X7) )
                  | ~ ssList(X6)
                  | app(cons(X5,nil),X6) != X4 )
              | ~ ssItem(X5) )
          & ssList(X4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f304,plain,
    ( ? [X4] :
        ( app(sK36,X4) = sK37
        & equalelemsP(sK36)
        & ! [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( app(X7,cons(X5,nil)) != sK36
                    | ~ ssList(X7) )
                | ~ ssList(X6)
                | app(cons(X5,nil),X6) != X4 )
            | ~ ssItem(X5) )
        & ssList(X4) )
   => ( app(sK36,sK38) = sK37
      & equalelemsP(sK36)
      & ! [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( app(X7,cons(X5,nil)) != sK36
                  | ~ ssList(X7) )
              | ~ ssList(X6)
              | app(cons(X5,nil),X6) != sK38 )
          | ~ ssItem(X5) )
      & ssList(sK38) ) ),
    introduced(choice_axiom,[]) ).

fof(f170,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ( ~ frontsegP(X1,X0)
                    | ~ neq(X0,nil) )
                  & X0 = X2
                  & ( nil = X3
                    | nil != X2 )
                  & X1 = X3
                  & ssList(X3)
                  & ( nil != X1
                    | nil != X0 )
                  & ? [X4] :
                      ( app(X2,X4) = X3
                      & equalelemsP(X2)
                      & ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( app(X7,cons(X5,nil)) != X2
                                  | ~ ssList(X7) )
                              | ~ ssList(X6)
                              | app(cons(X5,nil),X6) != X4 )
                          | ~ ssItem(X5) )
                      & ssList(X4) ) ) ) )
      & ssList(X0) ),
    inference(flattening,[],[f169]) ).

fof(f169,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X1
                    | nil != X0 )
                  & ( ~ frontsegP(X1,X0)
                    | ~ neq(X0,nil) )
                  & X0 = X2
                  & ( nil = X3
                    | nil != X2 )
                  & ? [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( app(X7,cons(X5,nil)) != X2
                                  | ~ ssList(X7) )
                              | ~ ssList(X6)
                              | app(cons(X5,nil),X6) != X4 )
                          | ~ ssItem(X5) )
                      & equalelemsP(X2)
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( nil = X0
                        & nil = X1 )
                      | ( frontsegP(X1,X0)
                        & neq(X0,nil) )
                      | X0 != X2
                      | ( nil = X2
                        & nil != X3 )
                      | ! [X4] :
                          ( ssList(X4)
                         => ( ? [X5] :
                                ( ssItem(X5)
                                & ? [X6] :
                                    ( ssList(X6)
                                    & app(cons(X5,nil),X6) = X4
                                    & ? [X7] :
                                        ( app(X7,cons(X5,nil)) = X2
                                        & ssList(X7) ) ) )
                            | ~ equalelemsP(X2)
                            | app(X2,X4) != X3 ) )
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( nil = X0
                      & nil = X1 )
                    | ( frontsegP(X1,X0)
                      & neq(X0,nil) )
                    | X0 != X2
                    | ( nil = X2
                      & nil != X3 )
                    | ! [X4] :
                        ( ssList(X4)
                       => ( ? [X5] :
                              ( ssItem(X5)
                              & ? [X6] :
                                  ( ssList(X6)
                                  & app(cons(X5,nil),X6) = X4
                                  & ? [X7] :
                                      ( app(X7,cons(X5,nil)) = X2
                                      & ssList(X7) ) ) )
                          | ~ equalelemsP(X2)
                          | app(X2,X4) != X3 ) )
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1333,plain,
    ( ~ ssList(sK36)
    | ~ ssList(nil)
    | nil = sK36
    | spl62_6 ),
    inference(resolution,[],[f373,f631]) ).

fof(f631,plain,
    ( ~ neq(sK36,nil)
    | spl62_6 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f629,plain,
    ( spl62_6
  <=> neq(sK36,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_6])]) ).

fof(f373,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f245,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( X0 != X1
          <=> neq(X0,X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( X0 != X1
          <=> neq(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f1235,plain,
    spl62_5,
    inference(avatar_split_clause,[],[f1234,f625]) ).

fof(f625,plain,
    ( spl62_5
  <=> frontsegP(sK37,sK36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_5])]) ).

fof(f1234,plain,
    frontsegP(sK37,sK36),
    inference(subsumption_resolution,[],[f1233,f473]) ).

fof(f1233,plain,
    ( ~ ssList(sK36)
    | frontsegP(sK37,sK36) ),
    inference(subsumption_resolution,[],[f1227,f463]) ).

fof(f463,plain,
    ssList(sK38),
    inference(cnf_transformation,[],[f305]) ).

fof(f1227,plain,
    ( ~ ssList(sK38)
    | ~ ssList(sK36)
    | frontsegP(sK37,sK36) ),
    inference(superposition,[],[f650,f641]) ).

fof(f641,plain,
    app(sK36,sK38) = sK37,
    inference(forward_demodulation,[],[f592,f593]) ).

fof(f593,plain,
    sF58 = sK37,
    inference(definition_folding,[],[f466,f592]) ).

fof(f466,plain,
    app(sK36,sK38) = sK37,
    inference(cnf_transformation,[],[f305]) ).

fof(f592,plain,
    app(sK36,sK38) = sF58,
    introduced(function_definition,[]) ).

fof(f650,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X1)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f573,f432]) ).

fof(f432,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ssList(app(X0,X1)) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f573,plain,
    ! [X2,X1] :
      ( ~ ssList(X1)
      | ~ ssList(app(X1,X2))
      | frontsegP(app(X1,X2),X1)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f412]) ).

fof(f412,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | frontsegP(X0,X1)
      | ~ ssList(X2)
      | app(X1,X2) != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f277,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ( ssList(sK28(X0,X1))
                & app(X1,sK28(X0,X1)) = X0 )
              | ~ frontsegP(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f275,f276]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ssList(X3)
          & app(X1,X3) = X0 )
     => ( ssList(sK28(X0,X1))
        & app(X1,sK28(X0,X1)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f275,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X3] :
                  ( ssList(X3)
                  & app(X1,X3) = X0 )
              | ~ frontsegP(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f274]) ).

fof(f274,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & app(X1,X2) = X0 )
              | ~ frontsegP(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f644,plain,
    ( ~ spl62_1
    | ~ spl62_2 ),
    inference(avatar_split_clause,[],[f563,f610,f606]) ).

fof(f606,plain,
    ( spl62_1
  <=> nil = sK37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_1])]) ).

fof(f563,plain,
    ( nil != sK36
    | nil != sK37 ),
    inference(definition_unfolding,[],[f467,f469,f471]) ).

fof(f471,plain,
    sK34 = sK36,
    inference(cnf_transformation,[],[f305]) ).

fof(f469,plain,
    sK35 = sK37,
    inference(cnf_transformation,[],[f305]) ).

fof(f467,plain,
    ( nil != sK35
    | nil != sK34 ),
    inference(cnf_transformation,[],[f305]) ).

fof(f643,plain,
    spl62_4,
    inference(avatar_split_clause,[],[f488,f620]) ).

fof(f488,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f632,plain,
    ( ~ spl62_5
    | ~ spl62_6 ),
    inference(avatar_split_clause,[],[f562,f629,f625]) ).

fof(f562,plain,
    ( ~ neq(sK36,nil)
    | ~ frontsegP(sK37,sK36) ),
    inference(definition_unfolding,[],[f472,f469,f471,f471]) ).

fof(f472,plain,
    ( ~ frontsegP(sK35,sK34)
    | ~ neq(sK34,nil) ),
    inference(cnf_transformation,[],[f305]) ).

fof(f613,plain,
    ( spl62_1
    | ~ spl62_2 ),
    inference(avatar_split_clause,[],[f470,f610,f606]) ).

fof(f470,plain,
    ( nil != sK36
    | nil = sK37 ),
    inference(cnf_transformation,[],[f305]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC101+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 18:32:31 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.47  % (17494)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (17502)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50  % (17492)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)
% 0.20/0.51  % (17482)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)
% 0.20/0.52  % (17485)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (17504)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)
% 0.20/0.52  % (17493)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  % (17484)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)
% 0.20/0.52  % (17503)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)
% 0.20/0.53  % (17491)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (17481)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)
% 0.20/0.53  % (17490)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)
% 0.20/0.53  % (17497)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (17509)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (17496)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)
% 0.20/0.53  % (17507)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)
% 0.20/0.53  % (17486)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)
% 0.20/0.54  % (17508)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54  % (17489)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (17489)Instruction limit reached!
% 0.20/0.54  % (17489)------------------------------
% 0.20/0.54  % (17489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (17489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (17489)Termination reason: Unknown
% 0.20/0.54  % (17489)Termination phase: shuffling
% 0.20/0.54  
% 0.20/0.54  % (17489)Memory used [KB]: 1023
% 0.20/0.54  % (17489)Time elapsed: 0.002 s
% 0.20/0.54  % (17489)Instructions burned: 3 (million)
% 0.20/0.54  % (17489)------------------------------
% 0.20/0.54  % (17489)------------------------------
% 0.20/0.54  % (17505)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (17500)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (17499)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (17483)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)
% 1.56/0.54  % (17501)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.56/0.54  % (17495)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)
% 1.56/0.55  % (17487)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)
% 1.56/0.55  % (17494)First to succeed.
% 1.56/0.55  % (17510)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)
% 1.56/0.56  % (17488)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.68/0.56  % (17498)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.68/0.56  TRYING [2]
% 1.68/0.57  % (17482)Also succeeded, but the first one will report.
% 1.68/0.57  % (17494)Refutation found. Thanks to Tanya!
% 1.68/0.57  % SZS status Theorem for theBenchmark
% 1.68/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.57  % (17494)------------------------------
% 1.68/0.57  % (17494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.57  % (17494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.57  % (17494)Termination reason: Refutation
% 1.68/0.57  
% 1.68/0.57  % (17494)Memory used [KB]: 6268
% 1.68/0.57  % (17494)Time elapsed: 0.142 s
% 1.68/0.57  % (17494)Instructions burned: 40 (million)
% 1.68/0.57  % (17494)------------------------------
% 1.68/0.57  % (17494)------------------------------
% 1.68/0.57  % (17480)Success in time 0.225 s
%------------------------------------------------------------------------------