TSTP Solution File: SYO604+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SYO604+1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n017.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 : Mon Jun 24 21:13:44 EDT 2024

% Result   : Theorem 2.07s 0.63s
% Output   : Refutation 2.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  358 (   3 unt;   0 def)
%            Number of atoms       : 1574 (   0 equ)
%            Maximal formula atoms :   59 (   4 avg)
%            Number of connectives : 1856 ( 640   ~;1032   |; 142   &)
%                                         (  42 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   49 (  48 usr;  37 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   2 con; 0-1 aty)
%            Number of variables   :  498 ( 425   !;  73   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8527,plain,
    $false,
    inference(avatar_sat_refutation,[],[f167,f168,f169,f170,f188,f192,f193,f194,f195,f196,f197,f198,f787,f789,f793,f806,f854,f858,f1005,f1071,f1075,f1210,f1216,f1260,f1273,f2616,f2823,f3682,f3691,f3727,f3730,f3768,f3995,f3996,f3997,f3998,f3999,f4511,f4634,f4793,f5722,f7417,f7543,f8064,f8273,f8342,f8498,f8518]) ).

fof(f8518,plain,
    ( spl20_24
    | spl20_556 ),
    inference(avatar_contradiction_clause,[],[f8517]) ).

fof(f8517,plain,
    ( $false
    | spl20_24
    | spl20_556 ),
    inference(subsumption_resolution,[],[f8499,f576]) ).

fof(f576,plain,
    ( ~ g_false_only(sK0,sK0)
    | spl20_24 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f575,plain,
    ( spl20_24
  <=> g_false_only(sK0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).

fof(f8499,plain,
    ( g_false_only(sK0,sK0)
    | spl20_556 ),
    inference(resolution,[],[f8470,f1835]) ).

fof(f1835,plain,
    ! [X0] :
      ( g_true_only(sK4(X0),sK0)
      | g_false_only(X0,sK0) ),
    inference(subsumption_resolution,[],[f1816,f738]) ).

fof(f738,plain,
    ! [X0] :
      ( g_true_only(sK4(X0),sK0)
      | g_true_only(X0,sK4(X0))
      | g_false_only(X0,sK0) ),
    inference(subsumption_resolution,[],[f731,f80]) ).

fof(f80,plain,
    ! [X18,X24] :
      ( g_true_only(X18,sK0)
      | g_true_only(X18,X24)
      | g_true_only(X24,X18) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f67,plain,
    ! [X18,X24] :
      ( ~ g_true_only(X18,sK0)
      | ~ g_true_only(X18,X24)
      | ~ g_true_only(X24,X18) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ( ( ? [X0] :
        ! [X1] :
          ( ( ? [X2] :
                ( g_true_only(X2,X1)
                & g_true_only(X1,X2) )
            & g_false_only(X1,X0) )
          | ( ! [X3] :
                ( g_false_only(X3,X1)
                | g_false_only(X1,X3) )
            & g_true_only(X1,X0) ) )
      | ! [X4] :
          ( ? [X5] :
              ( ( ( ( ! [X6] :
                        ( ~ g_true_only(X6,X5)
                        | ~ g_true_only(X5,X6) )
                    & ? [X7] :
                        ( ~ g_false_only(X7,X5)
                        & ~ g_false_only(X5,X7)
                        & ( g_both(X7,X5)
                          | g_both(X5,X7) ) ) )
                  | ! [X8] :
                      ( g_false_only(X8,X5)
                      | g_false_only(X5,X8) ) )
                & g_false_only(X5,X4) )
              | ( ( ? [X9] :
                      ( g_true_only(X9,X5)
                      & g_true_only(X5,X9) )
                  | ! [X10] :
                      ( g_false_only(X10,X5)
                      | g_false_only(X5,X10) ) )
                & g_both(X5,X4) )
              | ( ( ? [X11] :
                      ( g_true_only(X11,X5)
                      & g_true_only(X5,X11) )
                  | ( ! [X12] :
                        ( ~ g_true_only(X12,X5)
                        | ~ g_true_only(X5,X12) )
                    & ? [X13] :
                        ( ~ g_false_only(X13,X5)
                        & ~ g_false_only(X5,X13)
                        & ( g_both(X13,X5)
                          | g_both(X5,X13) ) ) ) )
                & g_true_only(X5,X4) ) )
          | ! [X14] :
              ( ? [X15] :
                  ( g_true_only(X15,X14)
                  & g_true_only(X14,X15) )
              | ! [X16] :
                  ( g_false_only(X16,X14)
                  | g_false_only(X14,X16)
                  | ( ~ g_both(X16,X14)
                    & ~ g_both(X14,X16) ) )
              | ~ g_both(X14,X4) ) ) )
    & ? [X17] :
      ! [X18] :
        ( ( ( ( ? [X19] :
                  ( g_true_only(X19,X18)
                  & g_true_only(X18,X19) )
              | ! [X20] :
                  ( g_false_only(X20,X18)
                  | g_false_only(X18,X20)
                  | ( ~ g_both(X20,X18)
                    & ~ g_both(X18,X20) ) ) )
            & ? [X21] :
                ( ~ g_false_only(X21,X18)
                & ~ g_false_only(X18,X21) ) )
          | ~ g_false_only(X18,X17) )
        & ( ( ! [X22] :
                ( ~ g_true_only(X22,X18)
                | ~ g_true_only(X18,X22) )
            & ? [X23] :
                ( ~ g_false_only(X23,X18)
                & ~ g_false_only(X18,X23) ) )
          | ~ g_both(X18,X17) )
        & ( ( ! [X24] :
                ( ~ g_true_only(X24,X18)
                | ~ g_true_only(X18,X24) )
            & ( ? [X25] :
                  ( g_true_only(X25,X18)
                  & g_true_only(X18,X25) )
              | ! [X26] :
                  ( g_false_only(X26,X18)
                  | g_false_only(X18,X26)
                  | ( ~ g_both(X26,X18)
                    & ~ g_both(X18,X26) ) ) ) )
          | ~ g_true_only(X18,X17) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ~ ( ( ~ ? [X0] :
            ! [X1] :
              ( ( ? [X2] :
                    ( g_true_only(X2,X1)
                    & g_true_only(X1,X2) )
                & g_false_only(X1,X0) )
              | ( ! [X3] :
                    ( g_false_only(X3,X1)
                    | g_false_only(X1,X3) )
                & g_true_only(X1,X0) ) )
        & ? [X4] :
            ( ~ ? [X5] :
                  ( ( ( ( ~ ? [X6] :
                              ( g_true_only(X6,X5)
                              & g_true_only(X5,X6) )
                        & ? [X7] :
                            ( ~ g_false_only(X7,X5)
                            & ~ g_false_only(X5,X7)
                            & ( g_both(X7,X5)
                              | g_both(X5,X7) ) ) )
                      | ! [X8] :
                          ( g_false_only(X8,X5)
                          | g_false_only(X5,X8) ) )
                    & g_false_only(X5,X4) )
                  | ( ( ? [X9] :
                          ( g_true_only(X9,X5)
                          & g_true_only(X5,X9) )
                      | ! [X10] :
                          ( g_false_only(X10,X5)
                          | g_false_only(X5,X10) ) )
                    & g_both(X5,X4) )
                  | ( ( ? [X11] :
                          ( g_true_only(X11,X5)
                          & g_true_only(X5,X11) )
                      | ( ~ ? [X12] :
                              ( g_true_only(X12,X5)
                              & g_true_only(X5,X12) )
                        & ? [X13] :
                            ( ~ g_false_only(X13,X5)
                            & ~ g_false_only(X5,X13)
                            & ( g_both(X13,X5)
                              | g_both(X5,X13) ) ) ) )
                    & g_true_only(X5,X4) ) )
            & ? [X14] :
                ( ~ ? [X15] :
                      ( g_true_only(X15,X14)
                      & g_true_only(X14,X15) )
                & ? [X16] :
                    ( ~ g_false_only(X16,X14)
                    & ~ g_false_only(X14,X16)
                    & ( g_both(X16,X14)
                      | g_both(X14,X16) ) )
                & g_both(X14,X4) ) ) )
      | ! [X17] :
        ? [X18] :
          ( ( ( ( ~ ? [X19] :
                      ( g_true_only(X19,X18)
                      & g_true_only(X18,X19) )
                & ? [X20] :
                    ( ~ g_false_only(X20,X18)
                    & ~ g_false_only(X18,X20)
                    & ( g_both(X20,X18)
                      | g_both(X18,X20) ) ) )
              | ! [X21] :
                  ( g_false_only(X21,X18)
                  | g_false_only(X18,X21) ) )
            & g_false_only(X18,X17) )
          | ( ( ? [X22] :
                  ( g_true_only(X22,X18)
                  & g_true_only(X18,X22) )
              | ! [X23] :
                  ( g_false_only(X23,X18)
                  | g_false_only(X18,X23) ) )
            & g_both(X18,X17) )
          | ( ( ? [X24] :
                  ( g_true_only(X24,X18)
                  & g_true_only(X18,X24) )
              | ( ~ ? [X25] :
                      ( g_true_only(X25,X18)
                      & g_true_only(X18,X25) )
                & ? [X26] :
                    ( ~ g_false_only(X26,X18)
                    & ~ g_false_only(X18,X26)
                    & ( g_both(X26,X18)
                      | g_both(X18,X26) ) ) ) )
            & g_true_only(X18,X17) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ~ ? [X0] :
            ! [X1] :
              ( ( ? [X2] :
                    ( g_true_only(X2,X1)
                    & g_true_only(X1,X2) )
                & g_false_only(X1,X0) )
              | ( ! [X2] :
                    ( g_false_only(X2,X1)
                    | g_false_only(X1,X2) )
                & g_true_only(X1,X0) ) )
        & ? [X0] :
            ( ~ ? [X1] :
                  ( ( ( ( ~ ? [X2] :
                              ( g_true_only(X2,X1)
                              & g_true_only(X1,X2) )
                        & ? [X2] :
                            ( ~ g_false_only(X2,X1)
                            & ~ g_false_only(X1,X2)
                            & ( g_both(X2,X1)
                              | g_both(X1,X2) ) ) )
                      | ! [X2] :
                          ( g_false_only(X2,X1)
                          | g_false_only(X1,X2) ) )
                    & g_false_only(X1,X0) )
                  | ( ( ? [X2] :
                          ( g_true_only(X2,X1)
                          & g_true_only(X1,X2) )
                      | ! [X2] :
                          ( g_false_only(X2,X1)
                          | g_false_only(X1,X2) ) )
                    & g_both(X1,X0) )
                  | ( ( ? [X2] :
                          ( g_true_only(X2,X1)
                          & g_true_only(X1,X2) )
                      | ( ~ ? [X2] :
                              ( g_true_only(X2,X1)
                              & g_true_only(X1,X2) )
                        & ? [X2] :
                            ( ~ g_false_only(X2,X1)
                            & ~ g_false_only(X1,X2)
                            & ( g_both(X2,X1)
                              | g_both(X1,X2) ) ) ) )
                    & g_true_only(X1,X0) ) )
            & ? [X1] :
                ( ~ ? [X2] :
                      ( g_true_only(X2,X1)
                      & g_true_only(X1,X2) )
                & ? [X2] :
                    ( ~ g_false_only(X2,X1)
                    & ~ g_false_only(X1,X2)
                    & ( g_both(X2,X1)
                      | g_both(X1,X2) ) )
                & g_both(X1,X0) ) ) )
      | ! [X0] :
        ? [X1] :
          ( ( ( ( ~ ? [X2] :
                      ( g_true_only(X2,X1)
                      & g_true_only(X1,X2) )
                & ? [X2] :
                    ( ~ g_false_only(X2,X1)
                    & ~ g_false_only(X1,X2)
                    & ( g_both(X2,X1)
                      | g_both(X1,X2) ) ) )
              | ! [X2] :
                  ( g_false_only(X2,X1)
                  | g_false_only(X1,X2) ) )
            & g_false_only(X1,X0) )
          | ( ( ? [X2] :
                  ( g_true_only(X2,X1)
                  & g_true_only(X1,X2) )
              | ! [X2] :
                  ( g_false_only(X2,X1)
                  | g_false_only(X1,X2) ) )
            & g_both(X1,X0) )
          | ( ( ? [X2] :
                  ( g_true_only(X2,X1)
                  & g_true_only(X1,X2) )
              | ( ~ ? [X2] :
                      ( g_true_only(X2,X1)
                      & g_true_only(X1,X2) )
                & ? [X2] :
                    ( ~ g_false_only(X2,X1)
                    & ~ g_false_only(X1,X2)
                    & ( g_both(X2,X1)
                      | g_both(X1,X2) ) ) ) )
            & g_true_only(X1,X0) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ~ ? [X0] :
          ! [X1] :
            ( ( ? [X2] :
                  ( g_true_only(X2,X1)
                  & g_true_only(X1,X2) )
              & g_false_only(X1,X0) )
            | ( ! [X2] :
                  ( g_false_only(X2,X1)
                  | g_false_only(X1,X2) )
              & g_true_only(X1,X0) ) )
      & ? [X0] :
          ( ~ ? [X1] :
                ( ( ( ( ~ ? [X2] :
                            ( g_true_only(X2,X1)
                            & g_true_only(X1,X2) )
                      & ? [X2] :
                          ( ~ g_false_only(X2,X1)
                          & ~ g_false_only(X1,X2)
                          & ( g_both(X2,X1)
                            | g_both(X1,X2) ) ) )
                    | ! [X2] :
                        ( g_false_only(X2,X1)
                        | g_false_only(X1,X2) ) )
                  & g_false_only(X1,X0) )
                | ( ( ? [X2] :
                        ( g_true_only(X2,X1)
                        & g_true_only(X1,X2) )
                    | ! [X2] :
                        ( g_false_only(X2,X1)
                        | g_false_only(X1,X2) ) )
                  & g_both(X1,X0) )
                | ( ( ? [X2] :
                        ( g_true_only(X2,X1)
                        & g_true_only(X1,X2) )
                    | ( ~ ? [X2] :
                            ( g_true_only(X2,X1)
                            & g_true_only(X1,X2) )
                      & ? [X2] :
                          ( ~ g_false_only(X2,X1)
                          & ~ g_false_only(X1,X2)
                          & ( g_both(X2,X1)
                            | g_both(X1,X2) ) ) ) )
                  & g_true_only(X1,X0) ) )
          & ? [X1] :
              ( ~ ? [X2] :
                    ( g_true_only(X2,X1)
                    & g_true_only(X1,X2) )
              & ? [X2] :
                  ( ~ g_false_only(X2,X1)
                  & ~ g_false_only(X1,X2)
                  & ( g_both(X2,X1)
                    | g_both(X1,X2) ) )
              & g_both(X1,X0) ) ) )
    | ! [X0] :
      ? [X1] :
        ( ( ( ( ~ ? [X2] :
                    ( g_true_only(X2,X1)
                    & g_true_only(X1,X2) )
              & ? [X2] :
                  ( ~ g_false_only(X2,X1)
                  & ~ g_false_only(X1,X2)
                  & ( g_both(X2,X1)
                    | g_both(X1,X2) ) ) )
            | ! [X2] :
                ( g_false_only(X2,X1)
                | g_false_only(X1,X2) ) )
          & g_false_only(X1,X0) )
        | ( ( ? [X2] :
                ( g_true_only(X2,X1)
                & g_true_only(X1,X2) )
            | ! [X2] :
                ( g_false_only(X2,X1)
                | g_false_only(X1,X2) ) )
          & g_both(X1,X0) )
        | ( ( ? [X2] :
                ( g_true_only(X2,X1)
                & g_true_only(X1,X2) )
            | ( ~ ? [X2] :
                    ( g_true_only(X2,X1)
                    & g_true_only(X1,X2) )
              & ? [X2] :
                  ( ~ g_false_only(X2,X1)
                  & ~ g_false_only(X1,X2)
                  & ( g_both(X2,X1)
                    | g_both(X1,X2) ) ) ) )
          & g_true_only(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f731,plain,
    ! [X0] :
      ( ~ g_true_only(sK4(X0),X0)
      | g_false_only(X0,sK0)
      | g_true_only(sK4(X0),sK0)
      | g_true_only(X0,sK4(X0)) ),
    inference(resolution,[],[f295,f528]) ).

fof(f528,plain,
    ! [X0,X1] :
      ( g_both(X0,X1)
      | g_true_only(X0,sK0)
      | g_true_only(X1,X0) ),
    inference(resolution,[],[f521,f200]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( g_false_only(X0,X1)
      | g_true_only(X0,X1) ),
    inference(resolution,[],[f143,f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( g_false(X0,X1)
      | g_false_only(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( g_false(X0,X1)
      | ~ g_false_only(X0,X1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( g_false_only(X0,X1)
    <=> ( ~ g_true(X0,X1)
        & g_false(X0,X1) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X3,X4] :
      ( g_false_only(X3,X4)
    <=> ( ~ g_true(X3,X4)
        & g_false(X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ g_false(X0,X1)
      | g_true_only(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ g_false(X0,X1)
      | ~ g_true_only(X0,X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( g_true_only(X0,X1)
    <=> ( ~ g_false(X0,X1)
        & g_true(X0,X1) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X3,X4] :
      ( g_true_only(X3,X4)
    <=> ( ~ g_false(X3,X4)
        & g_true(X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f521,plain,
    ! [X0,X1] :
      ( ~ g_false_only(X1,X0)
      | g_both(X0,X1)
      | g_true_only(X0,sK0) ),
    inference(subsumption_resolution,[],[f520,f451]) ).

fof(f451,plain,
    ! [X18,X26] :
      ( ~ g_true_only(X18,sK8(X18))
      | g_both(X18,X26)
      | ~ g_false_only(X26,X18)
      | g_true_only(X18,sK0) ),
    inference(subsumption_resolution,[],[f113,f199]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( g_false_only(X0,X1)
      | g_both(X0,X1) ),
    inference(resolution,[],[f140,f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( g_true(X0,X1)
      | g_both(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( g_true(X0,X1)
      | ~ g_both(X0,X1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( g_both(X0,X1)
    <=> ( g_false(X0,X1)
        & g_true(X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X3,X4] :
      ( g_both(X3,X4)
    <=> ( g_false(X3,X4)
        & g_true(X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ g_true(X0,X1)
      | g_false_only(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ g_true(X0,X1)
      | ~ g_false_only(X0,X1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f113,plain,
    ! [X18,X26] :
      ( g_true_only(X18,sK0)
      | g_both(X18,X26)
      | ~ g_false_only(X18,X26)
      | ~ g_false_only(X26,X18)
      | ~ g_true_only(X18,sK8(X18)) ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f34,plain,
    ! [X18,X26] :
      ( ~ g_true_only(X18,sK0)
      | ~ g_both(X18,X26)
      | g_false_only(X18,X26)
      | g_false_only(X26,X18)
      | g_true_only(X18,sK8(X18)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f520,plain,
    ! [X0,X1] :
      ( g_both(X0,X1)
      | ~ g_false_only(X1,X0)
      | g_true_only(X0,sK0)
      | g_true_only(X0,sK8(X0)) ),
    inference(duplicate_literal_removal,[],[f507]) ).

fof(f507,plain,
    ! [X0,X1] :
      ( g_both(X0,X1)
      | ~ g_false_only(X1,X0)
      | g_true_only(X0,sK0)
      | g_true_only(X0,sK0)
      | g_true_only(X0,sK8(X0)) ),
    inference(resolution,[],[f504,f80]) ).

fof(f504,plain,
    ! [X18,X26] :
      ( ~ g_true_only(sK8(X18),X18)
      | g_both(X18,X26)
      | ~ g_false_only(X26,X18)
      | g_true_only(X18,sK0) ),
    inference(subsumption_resolution,[],[f115,f199]) ).

fof(f115,plain,
    ! [X18,X26] :
      ( g_true_only(X18,sK0)
      | g_both(X18,X26)
      | ~ g_false_only(X18,X26)
      | ~ g_false_only(X26,X18)
      | ~ g_true_only(sK8(X18),X18) ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f32,plain,
    ! [X18,X26] :
      ( ~ g_true_only(X18,sK0)
      | ~ g_both(X18,X26)
      | g_false_only(X18,X26)
      | g_false_only(X26,X18)
      | g_true_only(sK8(X18),X18) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ g_both(sK4(X0),X0)
      | ~ g_true_only(sK4(X0),X0)
      | g_false_only(X0,sK0) ),
    inference(resolution,[],[f135,f84]) ).

fof(f84,plain,
    ! [X18] :
      ( g_false_only(sK4(X18),X18)
      | g_false_only(X18,sK0) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f63,plain,
    ! [X18] :
      ( ~ g_false_only(X18,sK0)
      | ~ g_false_only(sK4(X18),X18) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ~ g_false_only(X0,X1)
      | ~ g_both(X0,X1)
      | ~ g_true_only(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( g_true_only(X0,X1)
      | g_both(X0,X1)
      | g_false_only(X0,X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( g_false_only(X0,X1)
      | g_both(X0,X1)
      | g_true_only(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X3,X4] :
      ( g_false_only(X3,X4)
      | g_both(X3,X4)
      | g_true_only(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1816,plain,
    ! [X0] :
      ( g_true_only(sK4(X0),sK0)
      | g_false_only(X0,sK0)
      | ~ g_true_only(X0,sK4(X0)) ),
    inference(duplicate_literal_removal,[],[f1815]) ).

fof(f1815,plain,
    ! [X0] :
      ( g_true_only(sK4(X0),sK0)
      | g_false_only(X0,sK0)
      | ~ g_true_only(X0,sK4(X0))
      | g_false_only(X0,sK0) ),
    inference(resolution,[],[f497,f292]) ).

fof(f292,plain,
    ! [X0] :
      ( ~ g_both(X0,sK4(X0))
      | ~ g_true_only(X0,sK4(X0))
      | g_false_only(X0,sK0) ),
    inference(resolution,[],[f135,f85]) ).

fof(f85,plain,
    ! [X18] :
      ( g_false_only(X18,sK4(X18))
      | g_false_only(X18,sK0) ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f62,plain,
    ! [X18] :
      ( ~ g_false_only(X18,sK0)
      | ~ g_false_only(X18,sK4(X18)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f497,plain,
    ! [X0] :
      ( g_both(X0,sK4(X0))
      | g_true_only(sK4(X0),sK0)
      | g_false_only(X0,sK0) ),
    inference(resolution,[],[f484,f84]) ).

fof(f484,plain,
    ! [X0,X1] :
      ( ~ g_false_only(X1,X0)
      | g_both(X0,X1)
      | g_true_only(X1,sK0) ),
    inference(subsumption_resolution,[],[f483,f407]) ).

fof(f407,plain,
    ! [X18,X26] :
      ( ~ g_true_only(X18,sK8(X18))
      | g_both(X26,X18)
      | ~ g_false_only(X18,X26)
      | g_true_only(X18,sK0) ),
    inference(subsumption_resolution,[],[f112,f199]) ).

fof(f112,plain,
    ! [X18,X26] :
      ( g_true_only(X18,sK0)
      | g_both(X26,X18)
      | ~ g_false_only(X18,X26)
      | ~ g_false_only(X26,X18)
      | ~ g_true_only(X18,sK8(X18)) ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f35,plain,
    ! [X18,X26] :
      ( ~ g_true_only(X18,sK0)
      | ~ g_both(X26,X18)
      | g_false_only(X18,X26)
      | g_false_only(X26,X18)
      | g_true_only(X18,sK8(X18)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f483,plain,
    ! [X0,X1] :
      ( g_both(X0,X1)
      | ~ g_false_only(X1,X0)
      | g_true_only(X1,sK0)
      | g_true_only(X1,sK8(X1)) ),
    inference(duplicate_literal_removal,[],[f470]) ).

fof(f470,plain,
    ! [X0,X1] :
      ( g_both(X0,X1)
      | ~ g_false_only(X1,X0)
      | g_true_only(X1,sK0)
      | g_true_only(X1,sK0)
      | g_true_only(X1,sK8(X1)) ),
    inference(resolution,[],[f469,f80]) ).

fof(f469,plain,
    ! [X18,X26] :
      ( ~ g_true_only(sK8(X18),X18)
      | g_both(X26,X18)
      | ~ g_false_only(X18,X26)
      | g_true_only(X18,sK0) ),
    inference(subsumption_resolution,[],[f114,f199]) ).

fof(f114,plain,
    ! [X18,X26] :
      ( g_true_only(X18,sK0)
      | g_both(X26,X18)
      | ~ g_false_only(X18,X26)
      | ~ g_false_only(X26,X18)
      | ~ g_true_only(sK8(X18),X18) ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f33,plain,
    ! [X18,X26] :
      ( ~ g_true_only(X18,sK0)
      | ~ g_both(X26,X18)
      | g_false_only(X18,X26)
      | g_false_only(X26,X18)
      | g_true_only(sK8(X18),X18) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f8470,plain,
    ( ~ g_true_only(sK4(sK0),sK0)
    | spl20_556 ),
    inference(avatar_component_clause,[],[f8468]) ).

fof(f8468,plain,
    ( spl20_556
  <=> g_true_only(sK4(sK0),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_556])]) ).

fof(f8498,plain,
    ( ~ spl20_556
    | spl20_24
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f8497,f1711,f575,f8468]) ).

fof(f1711,plain,
    ( spl20_110
  <=> g_both(sK4(sK0),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_110])]) ).

fof(f8497,plain,
    ( ~ g_true_only(sK4(sK0),sK0)
    | spl20_24
    | ~ spl20_110 ),
    inference(subsumption_resolution,[],[f8496,f576]) ).

fof(f8496,plain,
    ( ~ g_true_only(sK4(sK0),sK0)
    | g_false_only(sK0,sK0)
    | ~ spl20_110 ),
    inference(resolution,[],[f1713,f295]) ).

fof(f1713,plain,
    ( g_both(sK4(sK0),sK0)
    | ~ spl20_110 ),
    inference(avatar_component_clause,[],[f1711]) ).

fof(f8342,plain,
    ( ~ spl20_118
    | spl20_214 ),
    inference(avatar_split_clause,[],[f8069,f3699,f2528]) ).

fof(f2528,plain,
    ( spl20_118
  <=> sP12(sK2(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_118])]) ).

fof(f3699,plain,
    ( spl20_214
  <=> g_true_only(sK2(sK0),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_214])]) ).

fof(f8069,plain,
    ( ~ sP12(sK2(sK0))
    | spl20_214 ),
    inference(resolution,[],[f3701,f540]) ).

fof(f540,plain,
    ! [X0] :
      ( g_true_only(X0,sK0)
      | ~ sP12(X0) ),
    inference(subsumption_resolution,[],[f506,f536]) ).

fof(f536,plain,
    ! [X0] :
      ( g_both(X0,sK18(X0))
      | g_true_only(X0,sK0)
      | ~ sP12(X0) ),
    inference(resolution,[],[f521,f127]) ).

fof(f127,plain,
    ! [X5] :
      ( g_false_only(sK18(X5),X5)
      | ~ sP12(X5) ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f20,plain,
    ! [X5] :
      ( ~ g_false_only(sK18(X5),X5)
      | ~ sP12(X5) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f506,plain,
    ! [X0] :
      ( g_true_only(X0,sK0)
      | ~ sP12(X0)
      | ~ g_both(X0,sK18(X0)) ),
    inference(duplicate_literal_removal,[],[f505]) ).

fof(f505,plain,
    ! [X0] :
      ( g_true_only(X0,sK0)
      | ~ sP12(X0)
      | ~ g_both(X0,sK18(X0))
      | ~ sP12(X0) ),
    inference(resolution,[],[f495,f133]) ).

fof(f133,plain,
    ! [X5] :
      ( ~ g_both(sK18(X5),X5)
      | ~ g_both(X5,sK18(X5))
      | ~ sP12(X5) ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f14,plain,
    ! [X5] :
      ( g_both(X5,sK18(X5))
      | g_both(sK18(X5),X5)
      | ~ sP12(X5) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f495,plain,
    ! [X0] :
      ( g_both(sK18(X0),X0)
      | g_true_only(X0,sK0)
      | ~ sP12(X0) ),
    inference(resolution,[],[f484,f128]) ).

fof(f128,plain,
    ! [X5] :
      ( g_false_only(X5,sK18(X5))
      | ~ sP12(X5) ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f19,plain,
    ! [X5] :
      ( ~ g_false_only(X5,sK18(X5))
      | ~ sP12(X5) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f3701,plain,
    ( ~ g_true_only(sK2(sK0),sK0)
    | spl20_214 ),
    inference(avatar_component_clause,[],[f3699]) ).

fof(f8273,plain,
    ( spl20_24
    | spl20_110 ),
    inference(avatar_split_clause,[],[f1964,f1711,f575]) ).

fof(f1964,plain,
    ( g_both(sK4(sK0),sK0)
    | g_false_only(sK0,sK0) ),
    inference(duplicate_literal_removal,[],[f1962]) ).

fof(f1962,plain,
    ( g_both(sK4(sK0),sK0)
    | g_false_only(sK0,sK0)
    | g_false_only(sK0,sK0)
    | g_both(sK4(sK0),sK0) ),
    inference(resolution,[],[f1955,f647]) ).

fof(f647,plain,
    ! [X0] :
      ( ~ g_true_only(sK9(X0),X0)
      | g_false_only(X0,sK0)
      | g_both(sK4(X0),X0) ),
    inference(duplicate_literal_removal,[],[f642]) ).

fof(f642,plain,
    ! [X0] :
      ( g_both(sK4(X0),X0)
      | g_false_only(X0,sK0)
      | ~ g_true_only(sK9(X0),X0)
      | g_false_only(X0,sK0) ),
    inference(resolution,[],[f637,f85]) ).

fof(f637,plain,
    ! [X18,X20] :
      ( ~ g_false_only(X18,X20)
      | g_both(X20,X18)
      | g_false_only(X18,sK0)
      | ~ g_true_only(sK9(X18),X18) ),
    inference(subsumption_resolution,[],[f118,f199]) ).

fof(f118,plain,
    ! [X18,X20] :
      ( g_false_only(X18,sK0)
      | g_both(X20,X18)
      | ~ g_false_only(X18,X20)
      | ~ g_false_only(X20,X18)
      | ~ g_true_only(sK9(X18),X18) ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f29,plain,
    ! [X18,X20] :
      ( ~ g_false_only(X18,sK0)
      | ~ g_both(X20,X18)
      | g_false_only(X18,X20)
      | g_false_only(X20,X18)
      | g_true_only(sK9(X18),X18) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f1955,plain,
    ! [X0] :
      ( g_both(sK4(X0),X0)
      | g_true_only(sK9(X0),sK0)
      | g_false_only(X0,sK0) ),
    inference(duplicate_literal_removal,[],[f1946]) ).

fof(f1946,plain,
    ! [X0] :
      ( g_both(sK4(X0),X0)
      | g_false_only(X0,sK0)
      | g_true_only(sK9(X0),sK0)
      | g_false_only(X0,sK0) ),
    inference(resolution,[],[f1941,f85]) ).

fof(f1941,plain,
    ! [X0,X1] :
      ( ~ g_false_only(X1,X0)
      | g_both(X0,X1)
      | g_false_only(X1,sK0)
      | g_true_only(sK9(X1),sK0) ),
    inference(subsumption_resolution,[],[f560,f637]) ).

fof(f560,plain,
    ! [X0,X1] :
      ( g_both(X0,X1)
      | ~ g_false_only(X1,X0)
      | g_false_only(X1,sK0)
      | g_true_only(sK9(X1),sK0)
      | g_true_only(sK9(X1),X1) ),
    inference(resolution,[],[f539,f80]) ).

fof(f539,plain,
    ! [X18,X20] :
      ( ~ g_true_only(X18,sK9(X18))
      | g_both(X20,X18)
      | ~ g_false_only(X18,X20)
      | g_false_only(X18,sK0) ),
    inference(subsumption_resolution,[],[f116,f199]) ).

fof(f116,plain,
    ! [X18,X20] :
      ( g_false_only(X18,sK0)
      | g_both(X20,X18)
      | ~ g_false_only(X18,X20)
      | ~ g_false_only(X20,X18)
      | ~ g_true_only(X18,sK9(X18)) ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f31,plain,
    ! [X18,X20] :
      ( ~ g_false_only(X18,sK0)
      | ~ g_both(X20,X18)
      | g_false_only(X18,X20)
      | g_false_only(X20,X18)
      | g_true_only(X18,sK9(X18)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f8064,plain,
    ( ~ spl20_214
    | spl20_21
    | ~ spl20_37
    | ~ spl20_38
    | spl20_120
    | spl20_124 ),
    inference(avatar_split_clause,[],[f8063,f2556,f2536,f852,f848,f353,f3699]) ).

fof(f353,plain,
    ( spl20_21
  <=> g_both(sK0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).

fof(f848,plain,
    ( spl20_37
  <=> ! [X0] :
        ( sP6(sK2(X0),X0)
        | g_both(sK0,X0)
        | ~ g_true_only(sK2(X0),X0)
        | sP14(sK2(X0))
        | sP15(sK2(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).

fof(f852,plain,
    ( spl20_38
  <=> ! [X0] :
        ( sP6(sK2(X0),X0)
        | g_both(sK0,X0)
        | sP12(sK2(X0))
        | sP13(sK2(X0))
        | ~ g_both(sK2(X0),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).

fof(f2536,plain,
    ( spl20_120
  <=> sP6(sK2(sK0),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_120])]) ).

fof(f2556,plain,
    ( spl20_124
  <=> sP15(sK2(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_124])]) ).

fof(f8063,plain,
    ( ~ g_true_only(sK2(sK0),sK0)
    | spl20_21
    | ~ spl20_37
    | ~ spl20_38
    | spl20_120
    | spl20_124 ),
    inference(subsumption_resolution,[],[f8062,f2558]) ).

fof(f2558,plain,
    ( ~ sP15(sK2(sK0))
    | spl20_124 ),
    inference(avatar_component_clause,[],[f2556]) ).

fof(f8062,plain,
    ( ~ g_true_only(sK2(sK0),sK0)
    | sP15(sK2(sK0))
    | spl20_21
    | ~ spl20_37
    | ~ spl20_38
    | spl20_120 ),
    inference(subsumption_resolution,[],[f8061,f2484]) ).

fof(f2484,plain,
    ( ~ sP14(sK2(sK0))
    | spl20_21
    | ~ spl20_38 ),
    inference(subsumption_resolution,[],[f2483,f214]) ).

fof(f214,plain,
    ! [X0] :
      ( g_both(X0,sK0)
      | ~ sP14(X0) ),
    inference(subsumption_resolution,[],[f208,f82]) ).

fof(f82,plain,
    ! [X18] :
      ( g_false_only(X18,sK3(X18))
      | g_both(X18,sK0) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f65,plain,
    ! [X18] :
      ( ~ g_both(X18,sK0)
      | ~ g_false_only(X18,sK3(X18)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ g_false_only(X0,sK3(X0))
      | ~ sP14(X0)
      | g_both(X0,sK0) ),
    inference(resolution,[],[f124,f81]) ).

fof(f81,plain,
    ! [X18] :
      ( g_false_only(sK3(X18),X18)
      | g_both(X18,sK0) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f66,plain,
    ! [X18] :
      ( ~ g_both(X18,sK0)
      | ~ g_false_only(sK3(X18),X18) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f124,plain,
    ! [X10,X5] :
      ( ~ g_false_only(X10,X5)
      | ~ g_false_only(X5,X10)
      | ~ sP14(X5) ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f23,plain,
    ! [X10,X5] :
      ( g_false_only(X5,X10)
      | g_false_only(X10,X5)
      | ~ sP14(X5) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f2483,plain,
    ( ~ g_both(sK2(sK0),sK0)
    | ~ sP14(sK2(sK0))
    | spl20_21
    | ~ spl20_38 ),
    inference(subsumption_resolution,[],[f2482,f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ sP14(X0)
      | ~ sP12(X0) ),
    inference(subsumption_resolution,[],[f210,f128]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ g_false_only(X0,sK18(X0))
      | ~ sP14(X0)
      | ~ sP12(X0) ),
    inference(resolution,[],[f124,f127]) ).

fof(f2482,plain,
    ( sP12(sK2(sK0))
    | ~ g_both(sK2(sK0),sK0)
    | ~ sP14(sK2(sK0))
    | spl20_21
    | ~ spl20_38 ),
    inference(subsumption_resolution,[],[f2481,f342]) ).

fof(f342,plain,
    ! [X0] :
      ( ~ sP14(X0)
      | ~ sP13(X0) ),
    inference(resolution,[],[f299,f265]) ).

fof(f265,plain,
    ! [X0] :
      ( g_true_only(X0,sK0)
      | ~ sP13(X0) ),
    inference(subsumption_resolution,[],[f237,f122]) ).

fof(f122,plain,
    ! [X5] :
      ( ~ g_true_only(sK16(X5),X5)
      | ~ sP13(X5) ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f25,plain,
    ! [X5] :
      ( g_true_only(sK16(X5),X5)
      | ~ sP13(X5) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f237,plain,
    ! [X0] :
      ( g_true_only(X0,sK0)
      | g_true_only(sK16(X0),X0)
      | ~ sP13(X0) ),
    inference(resolution,[],[f80,f123]) ).

fof(f123,plain,
    ! [X5] :
      ( ~ g_true_only(X5,sK16(X5))
      | ~ sP13(X5) ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f24,plain,
    ! [X5] :
      ( g_true_only(X5,sK16(X5))
      | ~ sP13(X5) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f299,plain,
    ! [X0] :
      ( ~ g_true_only(X0,sK0)
      | ~ sP14(X0) ),
    inference(subsumption_resolution,[],[f297,f214]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ sP14(X0)
      | ~ g_both(X0,sK0)
      | ~ g_true_only(X0,sK0) ),
    inference(resolution,[],[f215,f135]) ).

fof(f215,plain,
    ! [X0] :
      ( g_false_only(X0,sK0)
      | ~ sP14(X0) ),
    inference(subsumption_resolution,[],[f209,f85]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ g_false_only(X0,sK4(X0))
      | ~ sP14(X0)
      | g_false_only(X0,sK0) ),
    inference(resolution,[],[f124,f84]) ).

fof(f2481,plain,
    ( sP12(sK2(sK0))
    | sP13(sK2(sK0))
    | ~ g_both(sK2(sK0),sK0)
    | ~ sP14(sK2(sK0))
    | spl20_21
    | ~ spl20_38 ),
    inference(subsumption_resolution,[],[f2479,f354]) ).

fof(f354,plain,
    ( ~ g_both(sK0,sK0)
    | spl20_21 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f2479,plain,
    ( sP12(sK2(sK0))
    | sP13(sK2(sK0))
    | ~ g_both(sK2(sK0),sK0)
    | g_both(sK0,sK0)
    | ~ sP14(sK2(sK0))
    | ~ spl20_38 ),
    inference(resolution,[],[f2471,f215]) ).

fof(f2471,plain,
    ( ! [X0] :
        ( ~ g_false_only(sK2(X0),X0)
        | sP12(sK2(X0))
        | sP13(sK2(X0))
        | ~ g_both(sK2(X0),X0)
        | g_both(sK0,X0) )
    | ~ spl20_38 ),
    inference(resolution,[],[f853,f89]) ).

fof(f89,plain,
    ! [X4,X5] :
      ( ~ sP6(X5,X4)
      | ~ g_false_only(X5,X4) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f58,plain,
    ! [X4,X5] :
      ( g_false_only(X5,X4)
      | ~ sP6(X5,X4) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f853,plain,
    ( ! [X0] :
        ( sP6(sK2(X0),X0)
        | g_both(sK0,X0)
        | sP12(sK2(X0))
        | sP13(sK2(X0))
        | ~ g_both(sK2(X0),X0) )
    | ~ spl20_38 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f8061,plain,
    ( ~ g_true_only(sK2(sK0),sK0)
    | sP14(sK2(sK0))
    | sP15(sK2(sK0))
    | spl20_21
    | ~ spl20_37
    | spl20_120 ),
    inference(subsumption_resolution,[],[f8048,f354]) ).

fof(f8048,plain,
    ( g_both(sK0,sK0)
    | ~ g_true_only(sK2(sK0),sK0)
    | sP14(sK2(sK0))
    | sP15(sK2(sK0))
    | ~ spl20_37
    | spl20_120 ),
    inference(resolution,[],[f2537,f849]) ).

fof(f849,plain,
    ( ! [X0] :
        ( sP6(sK2(X0),X0)
        | g_both(sK0,X0)
        | ~ g_true_only(sK2(X0),X0)
        | sP14(sK2(X0))
        | sP15(sK2(X0)) )
    | ~ spl20_37 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f2537,plain,
    ( ~ sP6(sK2(sK0),sK0)
    | spl20_120 ),
    inference(avatar_component_clause,[],[f2536]) ).

fof(f7543,plain,
    ( ~ spl20_126
    | spl20_187
    | ~ spl20_190
    | spl20_216
    | spl20_276 ),
    inference(avatar_contradiction_clause,[],[f7542]) ).

fof(f7542,plain,
    ( $false
    | ~ spl20_126
    | spl20_187
    | ~ spl20_190
    | spl20_216
    | spl20_276 ),
    inference(subsumption_resolution,[],[f7535,f3137]) ).

fof(f3137,plain,
    ( ~ g_both(sK19(sK2(sK0)),sK2(sK0))
    | spl20_187 ),
    inference(avatar_component_clause,[],[f3135]) ).

fof(f3135,plain,
    ( spl20_187
  <=> g_both(sK19(sK2(sK0)),sK2(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_187])]) ).

fof(f7535,plain,
    ( g_both(sK19(sK2(sK0)),sK2(sK0))
    | ~ spl20_126
    | ~ spl20_190
    | spl20_216
    | spl20_276 ),
    inference(resolution,[],[f4791,f3150]) ).

fof(f3150,plain,
    ( g_false_only(sK2(sK0),sK19(sK2(sK0)))
    | ~ spl20_190 ),
    inference(avatar_component_clause,[],[f3148]) ).

fof(f3148,plain,
    ( spl20_190
  <=> g_false_only(sK2(sK0),sK19(sK2(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_190])]) ).

fof(f4791,plain,
    ( ! [X0] :
        ( ~ g_false_only(sK2(sK0),X0)
        | g_both(X0,sK2(sK0)) )
    | ~ spl20_126
    | spl20_216
    | spl20_276 ),
    inference(subsumption_resolution,[],[f4790,f3777]) ).

fof(f3777,plain,
    ( ~ g_false_only(sK2(sK0),sK0)
    | spl20_216 ),
    inference(avatar_component_clause,[],[f3776]) ).

fof(f3776,plain,
    ( spl20_216
  <=> g_false_only(sK2(sK0),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_216])]) ).

fof(f4790,plain,
    ( ! [X0] :
        ( g_both(X0,sK2(sK0))
        | ~ g_false_only(sK2(sK0),X0)
        | g_false_only(sK2(sK0),sK0) )
    | ~ spl20_126
    | spl20_276 ),
    inference(subsumption_resolution,[],[f4734,f4510]) ).

fof(f4510,plain,
    ( ~ g_true_only(sK9(sK2(sK0)),sK2(sK0))
    | spl20_276 ),
    inference(avatar_component_clause,[],[f4508]) ).

fof(f4508,plain,
    ( spl20_276
  <=> g_true_only(sK9(sK2(sK0)),sK2(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_276])]) ).

fof(f4734,plain,
    ( ! [X0] :
        ( g_true_only(sK9(sK2(sK0)),sK2(sK0))
        | g_both(X0,sK2(sK0))
        | ~ g_false_only(sK2(sK0),X0)
        | g_false_only(sK2(sK0),sK0) )
    | ~ spl20_126 ),
    inference(resolution,[],[f2569,f539]) ).

fof(f2569,plain,
    ( ! [X1] :
        ( g_true_only(sK2(sK0),X1)
        | g_true_only(X1,sK2(sK0)) )
    | ~ spl20_126 ),
    inference(avatar_component_clause,[],[f2568]) ).

fof(f2568,plain,
    ( spl20_126
  <=> ! [X1] :
        ( g_true_only(sK2(sK0),X1)
        | g_true_only(X1,sK2(sK0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_126])]) ).

fof(f7417,plain,
    ( spl20_188
    | ~ spl20_126
    | ~ spl20_191
    | spl20_216
    | spl20_276 ),
    inference(avatar_split_clause,[],[f7410,f4508,f3776,f3153,f2568,f3139]) ).

fof(f3139,plain,
    ( spl20_188
  <=> g_both(sK2(sK0),sK19(sK2(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_188])]) ).

fof(f3153,plain,
    ( spl20_191
  <=> g_false_only(sK19(sK2(sK0)),sK2(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_191])]) ).

fof(f7410,plain,
    ( g_both(sK2(sK0),sK19(sK2(sK0)))
    | ~ spl20_126
    | ~ spl20_191
    | spl20_216
    | spl20_276 ),
    inference(resolution,[],[f4789,f3155]) ).

fof(f3155,plain,
    ( g_false_only(sK19(sK2(sK0)),sK2(sK0))
    | ~ spl20_191 ),
    inference(avatar_component_clause,[],[f3153]) ).

fof(f4789,plain,
    ( ! [X0] :
        ( ~ g_false_only(X0,sK2(sK0))
        | g_both(sK2(sK0),X0) )
    | ~ spl20_126
    | spl20_216
    | spl20_276 ),
    inference(subsumption_resolution,[],[f4788,f3777]) ).

fof(f4788,plain,
    ( ! [X0] :
        ( g_both(sK2(sK0),X0)
        | ~ g_false_only(X0,sK2(sK0))
        | g_false_only(sK2(sK0),sK0) )
    | ~ spl20_126
    | spl20_276 ),
    inference(subsumption_resolution,[],[f4733,f4510]) ).

fof(f4733,plain,
    ( ! [X0] :
        ( g_true_only(sK9(sK2(sK0)),sK2(sK0))
        | g_both(sK2(sK0),X0)
        | ~ g_false_only(X0,sK2(sK0))
        | g_false_only(sK2(sK0),sK0) )
    | ~ spl20_126 ),
    inference(resolution,[],[f2569,f606]) ).

fof(f606,plain,
    ! [X18,X20] :
      ( ~ g_true_only(X18,sK9(X18))
      | g_both(X18,X20)
      | ~ g_false_only(X20,X18)
      | g_false_only(X18,sK0) ),
    inference(subsumption_resolution,[],[f117,f199]) ).

fof(f117,plain,
    ! [X18,X20] :
      ( g_false_only(X18,sK0)
      | g_both(X18,X20)
      | ~ g_false_only(X18,X20)
      | ~ g_false_only(X20,X18)
      | ~ g_true_only(X18,sK9(X18)) ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f30,plain,
    ! [X18,X20] :
      ( ~ g_false_only(X18,sK0)
      | ~ g_both(X18,X20)
      | g_false_only(X18,X20)
      | g_false_only(X20,X18)
      | g_true_only(X18,sK9(X18)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f5722,plain,
    ( ~ spl20_124
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f5721,f2568,f2556]) ).

fof(f5721,plain,
    ( ~ sP15(sK2(sK0))
    | ~ spl20_126 ),
    inference(subsumption_resolution,[],[f4754,f126]) ).

fof(f126,plain,
    ! [X5] :
      ( ~ g_true_only(X5,sK17(X5))
      | ~ sP15(X5) ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f21,plain,
    ! [X5] :
      ( g_true_only(X5,sK17(X5))
      | ~ sP15(X5) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f4754,plain,
    ( g_true_only(sK2(sK0),sK17(sK2(sK0)))
    | ~ sP15(sK2(sK0))
    | ~ spl20_126 ),
    inference(resolution,[],[f2569,f125]) ).

fof(f125,plain,
    ! [X5] :
      ( ~ g_true_only(sK17(X5),X5)
      | ~ sP15(X5) ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f22,plain,
    ! [X5] :
      ( g_true_only(sK17(X5),X5)
      | ~ sP15(X5) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f4793,plain,
    ( ~ spl20_125
    | ~ spl20_126 ),
    inference(avatar_split_clause,[],[f4792,f2568,f2562]) ).

fof(f2562,plain,
    ( spl20_125
  <=> sP13(sK2(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_125])]) ).

fof(f4792,plain,
    ( ~ sP13(sK2(sK0))
    | ~ spl20_126 ),
    inference(subsumption_resolution,[],[f4735,f122]) ).

fof(f4735,plain,
    ( g_true_only(sK16(sK2(sK0)),sK2(sK0))
    | ~ sP13(sK2(sK0))
    | ~ spl20_126 ),
    inference(resolution,[],[f2569,f123]) ).

fof(f4634,plain,
    ( ~ spl20_276
    | spl20_188
    | ~ spl20_191
    | spl20_216 ),
    inference(avatar_split_clause,[],[f4322,f3776,f3153,f3139,f4508]) ).

fof(f4322,plain,
    ( ~ g_true_only(sK9(sK2(sK0)),sK2(sK0))
    | spl20_188
    | ~ spl20_191
    | spl20_216 ),
    inference(subsumption_resolution,[],[f4321,f3777]) ).

fof(f4321,plain,
    ( g_false_only(sK2(sK0),sK0)
    | ~ g_true_only(sK9(sK2(sK0)),sK2(sK0))
    | spl20_188
    | ~ spl20_191 ),
    inference(subsumption_resolution,[],[f4312,f3141]) ).

fof(f3141,plain,
    ( ~ g_both(sK2(sK0),sK19(sK2(sK0)))
    | spl20_188 ),
    inference(avatar_component_clause,[],[f3139]) ).

fof(f4312,plain,
    ( g_both(sK2(sK0),sK19(sK2(sK0)))
    | g_false_only(sK2(sK0),sK0)
    | ~ g_true_only(sK9(sK2(sK0)),sK2(sK0))
    | ~ spl20_191 ),
    inference(resolution,[],[f3155,f648]) ).

fof(f648,plain,
    ! [X18,X20] :
      ( ~ g_false_only(X20,X18)
      | g_both(X18,X20)
      | g_false_only(X18,sK0)
      | ~ g_true_only(sK9(X18),X18) ),
    inference(subsumption_resolution,[],[f119,f199]) ).

fof(f119,plain,
    ! [X18,X20] :
      ( g_false_only(X18,sK0)
      | g_both(X18,X20)
      | ~ g_false_only(X18,X20)
      | ~ g_false_only(X20,X18)
      | ~ g_true_only(sK9(X18),X18) ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f28,plain,
    ! [X18,X20] :
      ( ~ g_false_only(X18,sK0)
      | ~ g_both(X18,X20)
      | g_false_only(X18,X20)
      | g_false_only(X20,X18)
      | g_true_only(sK9(X18),X18) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f4511,plain,
    ( ~ spl20_276
    | spl20_187
    | ~ spl20_190
    | spl20_216 ),
    inference(avatar_split_clause,[],[f4506,f3776,f3148,f3135,f4508]) ).

fof(f4506,plain,
    ( g_both(sK19(sK2(sK0)),sK2(sK0))
    | ~ g_true_only(sK9(sK2(sK0)),sK2(sK0))
    | ~ spl20_190
    | spl20_216 ),
    inference(subsumption_resolution,[],[f4241,f3777]) ).

fof(f4241,plain,
    ( g_both(sK19(sK2(sK0)),sK2(sK0))
    | g_false_only(sK2(sK0),sK0)
    | ~ g_true_only(sK9(sK2(sK0)),sK2(sK0))
    | ~ spl20_190 ),
    inference(resolution,[],[f3150,f637]) ).

fof(f3999,plain,
    ( ~ spl20_216
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f3994,f2536,f3776]) ).

fof(f3994,plain,
    ( ~ g_false_only(sK2(sK0),sK0)
    | ~ spl20_120 ),
    inference(resolution,[],[f2538,f89]) ).

fof(f2538,plain,
    ( sP6(sK2(sK0),sK0)
    | ~ spl20_120 ),
    inference(avatar_component_clause,[],[f2536]) ).

fof(f3998,plain,
    ( spl20_191
    | spl20_189
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f3993,f2536,f3143,f3153]) ).

fof(f3143,plain,
    ( spl20_189
  <=> ! [X0] :
        ( ~ g_false_only(X0,sK2(sK0))
        | ~ g_false_only(sK2(sK0),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_189])]) ).

fof(f3993,plain,
    ( ! [X0] :
        ( ~ g_false_only(X0,sK2(sK0))
        | g_false_only(sK19(sK2(sK0)),sK2(sK0))
        | ~ g_false_only(sK2(sK0),X0) )
    | ~ spl20_120 ),
    inference(resolution,[],[f2538,f130]) ).

fof(f130,plain,
    ! [X8,X4,X5] :
      ( ~ sP6(X5,X4)
      | ~ g_false_only(X8,X5)
      | g_false_only(sK19(X5),X5)
      | ~ g_false_only(X5,X8) ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f17,plain,
    ! [X8,X4,X5] :
      ( g_false_only(X5,X8)
      | g_false_only(X8,X5)
      | ~ g_false_only(sK19(X5),X5)
      | ~ sP6(X5,X4) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f3997,plain,
    ( spl20_190
    | spl20_189
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f3992,f2536,f3143,f3148]) ).

fof(f3992,plain,
    ( ! [X0] :
        ( ~ g_false_only(X0,sK2(sK0))
        | g_false_only(sK2(sK0),sK19(sK2(sK0)))
        | ~ g_false_only(sK2(sK0),X0) )
    | ~ spl20_120 ),
    inference(resolution,[],[f2538,f131]) ).

fof(f131,plain,
    ! [X8,X4,X5] :
      ( ~ sP6(X5,X4)
      | ~ g_false_only(X8,X5)
      | g_false_only(X5,sK19(X5))
      | ~ g_false_only(X5,X8) ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f16,plain,
    ! [X8,X4,X5] :
      ( g_false_only(X5,X8)
      | g_false_only(X8,X5)
      | ~ g_false_only(X5,sK19(X5))
      | ~ sP6(X5,X4) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f3996,plain,
    ( spl20_126
    | spl20_189
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f3991,f2536,f3143,f2568]) ).

fof(f3991,plain,
    ( ! [X0,X1] :
        ( ~ g_false_only(X0,sK2(sK0))
        | g_true_only(sK2(sK0),X1)
        | g_true_only(X1,sK2(sK0))
        | ~ g_false_only(sK2(sK0),X0) )
    | ~ spl20_120 ),
    inference(resolution,[],[f2538,f132]) ).

fof(f132,plain,
    ! [X8,X6,X4,X5] :
      ( ~ sP6(X5,X4)
      | ~ g_false_only(X8,X5)
      | g_true_only(X5,X6)
      | g_true_only(X6,X5)
      | ~ g_false_only(X5,X8) ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f15,plain,
    ! [X8,X6,X4,X5] :
      ( g_false_only(X5,X8)
      | g_false_only(X8,X5)
      | ~ g_true_only(X5,X6)
      | ~ g_true_only(X6,X5)
      | ~ sP6(X5,X4) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f3995,plain,
    ( ~ spl20_187
    | ~ spl20_188
    | spl20_189
    | ~ spl20_120 ),
    inference(avatar_split_clause,[],[f3990,f2536,f3143,f3139,f3135]) ).

fof(f3990,plain,
    ( ! [X0] :
        ( ~ g_false_only(X0,sK2(sK0))
        | ~ g_both(sK2(sK0),sK19(sK2(sK0)))
        | ~ g_both(sK19(sK2(sK0)),sK2(sK0))
        | ~ g_false_only(sK2(sK0),X0) )
    | ~ spl20_120 ),
    inference(resolution,[],[f2538,f134]) ).

fof(f134,plain,
    ! [X8,X4,X5] :
      ( ~ sP6(X5,X4)
      | ~ g_false_only(X8,X5)
      | ~ g_both(X5,sK19(X5))
      | ~ g_both(sK19(X5),X5)
      | ~ g_false_only(X5,X8) ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f13,plain,
    ! [X8,X4,X5] :
      ( g_false_only(X5,X8)
      | g_false_only(X8,X5)
      | g_both(X5,sK19(X5))
      | g_both(sK19(X5),X5)
      | ~ sP6(X5,X4) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f3768,plain,
    ( spl20_126
    | spl20_119 ),
    inference(avatar_split_clause,[],[f3745,f2532,f2568]) ).

fof(f2532,plain,
    ( spl20_119
  <=> g_both(sK2(sK0),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_119])]) ).

fof(f3745,plain,
    ( ! [X0] :
        ( g_true_only(sK2(sK0),X0)
        | g_true_only(X0,sK2(sK0)) )
    | spl20_119 ),
    inference(resolution,[],[f2534,f83]) ).

fof(f83,plain,
    ! [X18,X22] :
      ( g_both(X18,sK0)
      | g_true_only(X18,X22)
      | g_true_only(X22,X18) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f64,plain,
    ! [X18,X22] :
      ( ~ g_both(X18,sK0)
      | ~ g_true_only(X18,X22)
      | ~ g_true_only(X22,X18) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f2534,plain,
    ( ~ g_both(sK2(sK0),sK0)
    | spl20_119 ),
    inference(avatar_component_clause,[],[f2532]) ).

fof(f3730,plain,
    ( ~ spl20_119
    | ~ spl20_214
    | spl20_21
    | ~ spl20_39
    | spl20_120 ),
    inference(avatar_split_clause,[],[f3703,f2536,f856,f353,f3699,f2532]) ).

fof(f856,plain,
    ( spl20_39
  <=> ! [X0] :
        ( sP6(sK2(X0),X0)
        | g_both(sK0,X0)
        | ~ g_true_only(sK2(X0),X0)
        | ~ g_both(sK2(X0),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_39])]) ).

fof(f3703,plain,
    ( ~ g_true_only(sK2(sK0),sK0)
    | ~ g_both(sK2(sK0),sK0)
    | spl20_21
    | ~ spl20_39
    | spl20_120 ),
    inference(subsumption_resolution,[],[f3687,f354]) ).

fof(f3687,plain,
    ( g_both(sK0,sK0)
    | ~ g_true_only(sK2(sK0),sK0)
    | ~ g_both(sK2(sK0),sK0)
    | ~ spl20_39
    | spl20_120 ),
    inference(resolution,[],[f2537,f857]) ).

fof(f857,plain,
    ( ! [X0] :
        ( sP6(sK2(X0),X0)
        | g_both(sK0,X0)
        | ~ g_true_only(sK2(X0),X0)
        | ~ g_both(sK2(X0),X0) )
    | ~ spl20_39 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f3727,plain,
    ( spl20_126
    | spl20_214 ),
    inference(avatar_split_clause,[],[f3713,f3699,f2568]) ).

fof(f3713,plain,
    ( ! [X0] :
        ( g_true_only(sK2(sK0),X0)
        | g_true_only(X0,sK2(sK0)) )
    | spl20_214 ),
    inference(resolution,[],[f3701,f80]) ).

fof(f3691,plain,
    ( spl20_125
    | spl20_124
    | ~ spl20_4
    | spl20_21
    | ~ spl20_35
    | spl20_36
    | ~ spl20_38
    | spl20_118
    | spl20_120 ),
    inference(avatar_split_clause,[],[f3690,f2536,f2528,f852,f844,f783,f353,f157,f2556,f2562]) ).

fof(f157,plain,
    ( spl20_4
  <=> ! [X4,X16,X14] :
        ( g_both(X14,X4)
        | sP6(sK2(X4),X4)
        | sP15(sK2(X4))
        | sP14(sK2(X4))
        | sP13(sK2(X4))
        | sP12(sK2(X4))
        | sP11(sK5(X14),X14)
        | ~ sP10(X16,X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f783,plain,
    ( spl20_35
  <=> sP10(sK0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).

fof(f844,plain,
    ( spl20_36
  <=> sP11(sK5(sK0),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).

fof(f3690,plain,
    ( sP15(sK2(sK0))
    | sP13(sK2(sK0))
    | ~ spl20_4
    | spl20_21
    | ~ spl20_35
    | spl20_36
    | ~ spl20_38
    | spl20_118
    | spl20_120 ),
    inference(subsumption_resolution,[],[f3689,f354]) ).

fof(f3689,plain,
    ( sP15(sK2(sK0))
    | sP13(sK2(sK0))
    | g_both(sK0,sK0)
    | ~ spl20_4
    | spl20_21
    | ~ spl20_35
    | spl20_36
    | ~ spl20_38
    | spl20_118
    | spl20_120 ),
    inference(subsumption_resolution,[],[f3688,f2530]) ).

fof(f2530,plain,
    ( ~ sP12(sK2(sK0))
    | spl20_118 ),
    inference(avatar_component_clause,[],[f2528]) ).

fof(f3688,plain,
    ( sP15(sK2(sK0))
    | sP13(sK2(sK0))
    | sP12(sK2(sK0))
    | g_both(sK0,sK0)
    | ~ spl20_4
    | spl20_21
    | ~ spl20_35
    | spl20_36
    | ~ spl20_38
    | spl20_120 ),
    inference(subsumption_resolution,[],[f3684,f2484]) ).

fof(f3684,plain,
    ( sP15(sK2(sK0))
    | sP14(sK2(sK0))
    | sP13(sK2(sK0))
    | sP12(sK2(sK0))
    | g_both(sK0,sK0)
    | ~ spl20_4
    | ~ spl20_35
    | spl20_36
    | spl20_120 ),
    inference(resolution,[],[f2537,f1225]) ).

fof(f1225,plain,
    ( ! [X0] :
        ( sP6(sK2(X0),X0)
        | sP15(sK2(X0))
        | sP14(sK2(X0))
        | sP13(sK2(X0))
        | sP12(sK2(X0))
        | g_both(sK0,X0) )
    | ~ spl20_4
    | ~ spl20_35
    | spl20_36 ),
    inference(subsumption_resolution,[],[f1224,f845]) ).

fof(f845,plain,
    ( ~ sP11(sK5(sK0),sK0)
    | spl20_36 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f1224,plain,
    ( ! [X0] :
        ( sP6(sK2(X0),X0)
        | sP15(sK2(X0))
        | sP14(sK2(X0))
        | sP13(sK2(X0))
        | sP12(sK2(X0))
        | sP11(sK5(sK0),sK0)
        | g_both(sK0,X0) )
    | ~ spl20_4
    | ~ spl20_35 ),
    inference(resolution,[],[f158,f785]) ).

fof(f785,plain,
    ( sP10(sK0,sK0)
    | ~ spl20_35 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f158,plain,
    ( ! [X16,X14,X4] :
        ( ~ sP10(X16,X14)
        | sP6(sK2(X4),X4)
        | sP15(sK2(X4))
        | sP14(sK2(X4))
        | sP13(sK2(X4))
        | sP12(sK2(X4))
        | sP11(sK5(X14),X14)
        | g_both(X14,X4) )
    | ~ spl20_4 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f3682,plain,
    ( ~ spl20_120
    | ~ spl20_189 ),
    inference(avatar_contradiction_clause,[],[f3681]) ).

fof(f3681,plain,
    ( $false
    | ~ spl20_120
    | ~ spl20_189 ),
    inference(subsumption_resolution,[],[f3678,f3133]) ).

fof(f3133,plain,
    ( ~ g_false_only(sK2(sK0),sK0)
    | ~ spl20_120 ),
    inference(resolution,[],[f2538,f89]) ).

fof(f3678,plain,
    ( g_false_only(sK2(sK0),sK0)
    | ~ spl20_120
    | ~ spl20_189 ),
    inference(resolution,[],[f3672,f85]) ).

fof(f3672,plain,
    ( ~ g_false_only(sK2(sK0),sK4(sK2(sK0)))
    | ~ spl20_120
    | ~ spl20_189 ),
    inference(subsumption_resolution,[],[f3670,f3133]) ).

fof(f3670,plain,
    ( ~ g_false_only(sK2(sK0),sK4(sK2(sK0)))
    | g_false_only(sK2(sK0),sK0)
    | ~ spl20_189 ),
    inference(resolution,[],[f3144,f84]) ).

fof(f3144,plain,
    ( ! [X0] :
        ( ~ g_false_only(X0,sK2(sK0))
        | ~ g_false_only(sK2(sK0),X0) )
    | ~ spl20_189 ),
    inference(avatar_component_clause,[],[f3143]) ).

fof(f2823,plain,
    ( ~ spl20_55
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(avatar_split_clause,[],[f2822,f190,f186,f966]) ).

fof(f966,plain,
    ( spl20_55
  <=> g_true_only(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_55])]) ).

fof(f186,plain,
    ( spl20_9
  <=> ! [X1] :
        ( ~ g_true_only(X1,sK1)
        | ~ g_true_only(sK7(X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

fof(f190,plain,
    ( spl20_10
  <=> ! [X1] :
        ( ~ g_true_only(X1,sK1)
        | ~ g_true_only(X1,sK7(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).

fof(f2822,plain,
    ( ~ g_true_only(sK0,sK1)
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(subsumption_resolution,[],[f2811,f187]) ).

fof(f187,plain,
    ( ! [X1] :
        ( ~ g_true_only(sK7(X1),X1)
        | ~ g_true_only(X1,sK1) )
    | ~ spl20_9 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f2811,plain,
    ( ~ g_true_only(sK0,sK1)
    | g_true_only(sK7(sK0),sK0)
    | ~ spl20_10 ),
    inference(resolution,[],[f191,f244]) ).

fof(f244,plain,
    ! [X0] :
      ( g_true_only(X0,sK0)
      | g_true_only(sK0,X0) ),
    inference(factoring,[],[f80]) ).

fof(f191,plain,
    ( ! [X1] :
        ( ~ g_true_only(X1,sK7(X1))
        | ~ g_true_only(X1,sK1) )
    | ~ spl20_10 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f2616,plain,
    ( ~ spl20_48
    | ~ spl20_40
    | ~ spl20_42 ),
    inference(avatar_split_clause,[],[f1280,f875,f866,f917]) ).

fof(f917,plain,
    ( spl20_48
  <=> g_true_only(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_48])]) ).

fof(f866,plain,
    ( spl20_40
  <=> g_both(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_40])]) ).

fof(f875,plain,
    ( spl20_42
  <=> g_false_only(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).

fof(f1280,plain,
    ( ~ g_both(sK1,sK0)
    | ~ g_true_only(sK1,sK0)
    | ~ spl20_42 ),
    inference(resolution,[],[f877,f135]) ).

fof(f877,plain,
    ( g_false_only(sK1,sK0)
    | ~ spl20_42 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f1273,plain,
    ( spl20_42
    | ~ spl20_67 ),
    inference(avatar_split_clause,[],[f1272,f1073,f875]) ).

fof(f1073,plain,
    ( spl20_67
  <=> ! [X0] :
        ( ~ g_false_only(sK4(sK1),X0)
        | ~ g_false_only(X0,sK4(sK1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).

fof(f1272,plain,
    ( g_false_only(sK1,sK0)
    | ~ spl20_67 ),
    inference(subsumption_resolution,[],[f1266,f84]) ).

fof(f1266,plain,
    ( ~ g_false_only(sK4(sK1),sK1)
    | g_false_only(sK1,sK0)
    | ~ spl20_67 ),
    inference(resolution,[],[f1074,f85]) ).

fof(f1074,plain,
    ( ! [X0] :
        ( ~ g_false_only(X0,sK4(sK1))
        | ~ g_false_only(sK4(sK1),X0) )
    | ~ spl20_67 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1260,plain,
    ( spl20_40
    | ~ spl20_66 ),
    inference(avatar_split_clause,[],[f1259,f1069,f866]) ).

fof(f1069,plain,
    ( spl20_66
  <=> ! [X0] :
        ( ~ g_false_only(sK3(sK1),X0)
        | ~ g_false_only(X0,sK3(sK1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).

fof(f1259,plain,
    ( g_both(sK1,sK0)
    | ~ spl20_66 ),
    inference(subsumption_resolution,[],[f1253,f81]) ).

fof(f1253,plain,
    ( ~ g_false_only(sK3(sK1),sK1)
    | g_both(sK1,sK0)
    | ~ spl20_66 ),
    inference(resolution,[],[f1070,f82]) ).

fof(f1070,plain,
    ( ! [X0] :
        ( ~ g_false_only(X0,sK3(sK1))
        | ~ g_false_only(sK3(sK1),X0) )
    | ~ spl20_66 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1216,plain,
    ( spl20_36
    | spl20_37
    | ~ spl20_5
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f1194,f783,f161,f848,f844]) ).

fof(f161,plain,
    ( spl20_5
  <=> ! [X4,X16,X14] :
        ( g_both(X14,X4)
        | sP6(sK2(X4),X4)
        | sP15(sK2(X4))
        | sP14(sK2(X4))
        | ~ g_true_only(sK2(X4),X4)
        | sP11(sK5(X14),X14)
        | ~ sP10(X16,X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).

fof(f1194,plain,
    ( ! [X0] :
        ( sP6(sK2(X0),X0)
        | sP15(sK2(X0))
        | sP14(sK2(X0))
        | ~ g_true_only(sK2(X0),X0)
        | sP11(sK5(sK0),sK0)
        | g_both(sK0,X0) )
    | ~ spl20_5
    | ~ spl20_35 ),
    inference(resolution,[],[f162,f785]) ).

fof(f162,plain,
    ( ! [X16,X14,X4] :
        ( ~ sP10(X16,X14)
        | sP6(sK2(X4),X4)
        | sP15(sK2(X4))
        | sP14(sK2(X4))
        | ~ g_true_only(sK2(X4),X4)
        | sP11(sK5(X14),X14)
        | g_both(X14,X4) )
    | ~ spl20_5 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f1210,plain,
    ~ spl20_36,
    inference(avatar_contradiction_clause,[],[f1209]) ).

fof(f1209,plain,
    ( $false
    | ~ spl20_36 ),
    inference(subsumption_resolution,[],[f1197,f1109]) ).

fof(f1109,plain,
    ( ~ g_true_only(sK0,sK5(sK0))
    | ~ spl20_36 ),
    inference(resolution,[],[f846,f111]) ).

fof(f111,plain,
    ! [X14,X15] :
      ( ~ sP11(X15,X14)
      | ~ g_true_only(X14,X15) ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f36,plain,
    ! [X14,X15] :
      ( g_true_only(X14,X15)
      | ~ sP11(X15,X14) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f846,plain,
    ( sP11(sK5(sK0),sK0)
    | ~ spl20_36 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f1197,plain,
    ( g_true_only(sK0,sK5(sK0))
    | ~ spl20_36 ),
    inference(resolution,[],[f1110,f244]) ).

fof(f1110,plain,
    ( ~ g_true_only(sK5(sK0),sK0)
    | ~ spl20_36 ),
    inference(resolution,[],[f846,f110]) ).

fof(f110,plain,
    ! [X14,X15] :
      ( ~ sP11(X15,X14)
      | ~ g_true_only(X15,X14) ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f37,plain,
    ! [X14,X15] :
      ( g_true_only(X15,X14)
      | ~ sP11(X15,X14) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f1075,plain,
    ( spl20_42
    | spl20_67
    | ~ spl20_6 ),
    inference(avatar_split_clause,[],[f1066,f165,f1073,f875]) ).

fof(f165,plain,
    ( spl20_6
  <=> ! [X1,X3] :
        ( ~ g_false_only(X1,X3)
        | ~ g_false_only(X1,sK1)
        | ~ g_false_only(X3,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f1066,plain,
    ( ! [X0] :
        ( ~ g_false_only(sK4(sK1),X0)
        | ~ g_false_only(X0,sK4(sK1))
        | g_false_only(sK1,sK0) )
    | ~ spl20_6 ),
    inference(resolution,[],[f166,f84]) ).

fof(f166,plain,
    ( ! [X3,X1] :
        ( ~ g_false_only(X1,sK1)
        | ~ g_false_only(X1,X3)
        | ~ g_false_only(X3,X1) )
    | ~ spl20_6 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f1071,plain,
    ( spl20_40
    | spl20_66
    | ~ spl20_6 ),
    inference(avatar_split_clause,[],[f1065,f165,f1069,f866]) ).

fof(f1065,plain,
    ( ! [X0] :
        ( ~ g_false_only(sK3(sK1),X0)
        | ~ g_false_only(X0,sK3(sK1))
        | g_both(sK1,sK0) )
    | ~ spl20_6 ),
    inference(resolution,[],[f166,f81]) ).

fof(f1005,plain,
    ( spl20_48
    | spl20_55 ),
    inference(avatar_split_clause,[],[f994,f966,f917]) ).

fof(f994,plain,
    ( g_true_only(sK1,sK0)
    | spl20_55 ),
    inference(resolution,[],[f968,f244]) ).

fof(f968,plain,
    ( ~ g_true_only(sK0,sK1)
    | spl20_55 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f858,plain,
    ( spl20_36
    | spl20_39
    | ~ spl20_2
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f842,f783,f149,f856,f844]) ).

fof(f149,plain,
    ( spl20_2
  <=> ! [X4,X16,X14] :
        ( g_both(X14,X4)
        | sP6(sK2(X4),X4)
        | ~ g_both(sK2(X4),X4)
        | ~ g_true_only(sK2(X4),X4)
        | sP11(sK5(X14),X14)
        | ~ sP10(X16,X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

fof(f842,plain,
    ( ! [X0] :
        ( sP6(sK2(X0),X0)
        | ~ g_both(sK2(X0),X0)
        | ~ g_true_only(sK2(X0),X0)
        | sP11(sK5(sK0),sK0)
        | g_both(sK0,X0) )
    | ~ spl20_2
    | ~ spl20_35 ),
    inference(resolution,[],[f785,f150]) ).

fof(f150,plain,
    ( ! [X16,X14,X4] :
        ( ~ sP10(X16,X14)
        | sP6(sK2(X4),X4)
        | ~ g_both(sK2(X4),X4)
        | ~ g_true_only(sK2(X4),X4)
        | sP11(sK5(X14),X14)
        | g_both(X14,X4) )
    | ~ spl20_2 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f854,plain,
    ( spl20_36
    | spl20_38
    | ~ spl20_3
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f841,f783,f153,f852,f844]) ).

fof(f153,plain,
    ( spl20_3
  <=> ! [X4,X16,X14] :
        ( g_both(X14,X4)
        | sP6(sK2(X4),X4)
        | ~ g_both(sK2(X4),X4)
        | sP13(sK2(X4))
        | sP12(sK2(X4))
        | sP11(sK5(X14),X14)
        | ~ sP10(X16,X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f841,plain,
    ( ! [X0] :
        ( sP6(sK2(X0),X0)
        | ~ g_both(sK2(X0),X0)
        | sP13(sK2(X0))
        | sP12(sK2(X0))
        | sP11(sK5(sK0),sK0)
        | g_both(sK0,X0) )
    | ~ spl20_3
    | ~ spl20_35 ),
    inference(resolution,[],[f785,f154]) ).

fof(f154,plain,
    ( ! [X16,X14,X4] :
        ( ~ sP10(X16,X14)
        | sP6(sK2(X4),X4)
        | ~ g_both(sK2(X4),X4)
        | sP13(sK2(X4))
        | sP12(sK2(X4))
        | sP11(sK5(X14),X14)
        | g_both(X14,X4) )
    | ~ spl20_3 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f806,plain,
    ( spl20_35
    | spl20_21
    | ~ spl20_24 ),
    inference(avatar_split_clause,[],[f799,f575,f353,f783]) ).

fof(f799,plain,
    ( g_both(sK0,sK0)
    | sP10(sK0,sK0)
    | ~ spl20_24 ),
    inference(resolution,[],[f577,f375]) ).

fof(f375,plain,
    ! [X16,X14] :
      ( ~ g_false_only(X16,X14)
      | g_both(X14,X16)
      | sP10(X16,X14) ),
    inference(subsumption_resolution,[],[f121,f199]) ).

fof(f121,plain,
    ! [X16,X14] :
      ( g_both(X14,X16)
      | ~ g_false_only(X14,X16)
      | ~ g_false_only(X16,X14)
      | sP10(X16,X14) ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f26,plain,
    ! [X16,X14] :
      ( ~ g_both(X14,X16)
      | g_false_only(X14,X16)
      | g_false_only(X16,X14)
      | ~ sP10(X16,X14) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f577,plain,
    ( g_false_only(sK0,sK0)
    | ~ spl20_24 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f793,plain,
    ( spl20_21
    | spl20_24 ),
    inference(avatar_split_clause,[],[f792,f575,f353]) ).

fof(f792,plain,
    ( g_both(sK0,sK0)
    | spl20_24 ),
    inference(resolution,[],[f576,f199]) ).

fof(f789,plain,
    ( ~ spl20_21
    | ~ spl20_24 ),
    inference(avatar_split_clause,[],[f788,f575,f353]) ).

fof(f788,plain,
    ( ~ g_both(sK0,sK0)
    | ~ spl20_24 ),
    inference(subsumption_resolution,[],[f770,f247]) ).

fof(f247,plain,
    g_true_only(sK0,sK0),
    inference(duplicate_literal_removal,[],[f245]) ).

fof(f245,plain,
    ( g_true_only(sK0,sK0)
    | g_true_only(sK0,sK0) ),
    inference(factoring,[],[f80]) ).

fof(f770,plain,
    ( ~ g_both(sK0,sK0)
    | ~ g_true_only(sK0,sK0)
    | ~ spl20_24 ),
    inference(resolution,[],[f577,f135]) ).

fof(f787,plain,
    ( spl20_35
    | spl20_21
    | ~ spl20_24 ),
    inference(avatar_split_clause,[],[f773,f575,f353,f783]) ).

fof(f773,plain,
    ( g_both(sK0,sK0)
    | sP10(sK0,sK0)
    | ~ spl20_24 ),
    inference(resolution,[],[f577,f340]) ).

fof(f340,plain,
    ! [X16,X14] :
      ( ~ g_false_only(X14,X16)
      | g_both(X16,X14)
      | sP10(X16,X14) ),
    inference(subsumption_resolution,[],[f120,f199]) ).

fof(f120,plain,
    ! [X16,X14] :
      ( g_both(X16,X14)
      | ~ g_false_only(X14,X16)
      | ~ g_false_only(X16,X14)
      | sP10(X16,X14) ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f27,plain,
    ! [X16,X14] :
      ( ~ g_both(X16,X14)
      | g_false_only(X14,X16)
      | g_false_only(X16,X14)
      | ~ sP10(X16,X14) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f198,plain,
    ( spl20_10
    | spl20_2 ),
    inference(avatar_split_clause,[],[f109,f149,f190]) ).

fof(f109,plain,
    ! [X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | ~ g_true_only(sK2(X4),X4)
      | ~ g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | ~ g_true_only(X1,sK1)
      | ~ g_true_only(X1,sK7(X1)) ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f38,plain,
    ! [X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | g_true_only(sK2(X4),X4)
      | g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | g_true_only(X1,sK1)
      | g_true_only(X1,sK7(X1)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f197,plain,
    ( spl20_9
    | spl20_2 ),
    inference(avatar_split_clause,[],[f108,f149,f186]) ).

fof(f108,plain,
    ! [X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | ~ g_true_only(sK2(X4),X4)
      | ~ g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | ~ g_true_only(X1,sK1)
      | ~ g_true_only(sK7(X1),X1) ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f39,plain,
    ! [X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | g_true_only(sK2(X4),X4)
      | g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | g_true_only(X1,sK1)
      | g_true_only(sK7(X1),X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f196,plain,
    ( spl20_10
    | spl20_3 ),
    inference(avatar_split_clause,[],[f107,f153,f190]) ).

fof(f107,plain,
    ! [X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | ~ g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | ~ g_true_only(X1,sK1)
      | ~ g_true_only(X1,sK7(X1)) ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f40,plain,
    ! [X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | g_true_only(X1,sK1)
      | g_true_only(X1,sK7(X1)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f195,plain,
    ( spl20_9
    | spl20_3 ),
    inference(avatar_split_clause,[],[f106,f153,f186]) ).

fof(f106,plain,
    ! [X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | ~ g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | ~ g_true_only(X1,sK1)
      | ~ g_true_only(sK7(X1),X1) ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f41,plain,
    ! [X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | g_true_only(X1,sK1)
      | g_true_only(sK7(X1),X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f194,plain,
    ( spl20_10
    | spl20_4 ),
    inference(avatar_split_clause,[],[f105,f157,f190]) ).

fof(f105,plain,
    ! [X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | ~ g_true_only(X1,sK1)
      | ~ g_true_only(X1,sK7(X1)) ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f42,plain,
    ! [X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | g_true_only(X1,sK1)
      | g_true_only(X1,sK7(X1)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f193,plain,
    ( spl20_9
    | spl20_4 ),
    inference(avatar_split_clause,[],[f104,f157,f186]) ).

fof(f104,plain,
    ! [X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | ~ g_true_only(X1,sK1)
      | ~ g_true_only(sK7(X1),X1) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f43,plain,
    ! [X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | g_true_only(X1,sK1)
      | g_true_only(sK7(X1),X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f192,plain,
    ( spl20_10
    | spl20_5 ),
    inference(avatar_split_clause,[],[f103,f161,f190]) ).

fof(f103,plain,
    ! [X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | ~ g_true_only(sK2(X4),X4)
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | ~ g_true_only(X1,sK1)
      | ~ g_true_only(X1,sK7(X1)) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f44,plain,
    ! [X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | g_true_only(sK2(X4),X4)
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | g_true_only(X1,sK1)
      | g_true_only(X1,sK7(X1)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f188,plain,
    ( spl20_9
    | spl20_5 ),
    inference(avatar_split_clause,[],[f102,f161,f186]) ).

fof(f102,plain,
    ! [X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | ~ g_true_only(sK2(X4),X4)
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | ~ g_true_only(X1,sK1)
      | ~ g_true_only(sK7(X1),X1) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f45,plain,
    ! [X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | g_true_only(sK2(X4),X4)
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | g_true_only(X1,sK1)
      | g_true_only(sK7(X1),X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f170,plain,
    ( spl20_6
    | spl20_2 ),
    inference(avatar_split_clause,[],[f93,f149,f165]) ).

fof(f93,plain,
    ! [X3,X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | ~ g_true_only(sK2(X4),X4)
      | ~ g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | ~ g_false_only(X1,X3)
      | ~ g_false_only(X3,X1)
      | ~ g_false_only(X1,sK1) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f54,plain,
    ! [X3,X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | g_true_only(sK2(X4),X4)
      | g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | g_false_only(X1,X3)
      | g_false_only(X3,X1)
      | g_false_only(X1,sK1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f169,plain,
    ( spl20_6
    | spl20_3 ),
    inference(avatar_split_clause,[],[f92,f153,f165]) ).

fof(f92,plain,
    ! [X3,X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | ~ g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | ~ g_false_only(X1,X3)
      | ~ g_false_only(X3,X1)
      | ~ g_false_only(X1,sK1) ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f55,plain,
    ! [X3,X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | g_both(sK2(X4),X4)
      | sP6(sK2(X4),X4)
      | g_false_only(X1,X3)
      | g_false_only(X3,X1)
      | g_false_only(X1,sK1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f168,plain,
    ( spl20_6
    | spl20_4 ),
    inference(avatar_split_clause,[],[f91,f157,f165]) ).

fof(f91,plain,
    ! [X3,X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | ~ g_false_only(X1,X3)
      | ~ g_false_only(X3,X1)
      | ~ g_false_only(X1,sK1) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f56,plain,
    ! [X3,X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | sP12(sK2(X4))
      | sP13(sK2(X4))
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | g_false_only(X1,X3)
      | g_false_only(X3,X1)
      | g_false_only(X1,sK1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f167,plain,
    ( spl20_6
    | spl20_5 ),
    inference(avatar_split_clause,[],[f90,f161,f165]) ).

fof(f90,plain,
    ! [X3,X1,X16,X14,X4] :
      ( g_both(X14,X4)
      | ~ sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | ~ g_true_only(sK2(X4),X4)
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | ~ g_false_only(X1,X3)
      | ~ g_false_only(X3,X1)
      | ~ g_false_only(X1,sK1) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f57,plain,
    ! [X3,X1,X16,X14,X4] :
      ( ~ g_both(X14,X4)
      | sP10(X16,X14)
      | sP11(sK5(X14),X14)
      | g_true_only(sK2(X4),X4)
      | sP14(sK2(X4))
      | sP15(sK2(X4))
      | sP6(sK2(X4),X4)
      | g_false_only(X1,X3)
      | g_false_only(X3,X1)
      | g_false_only(X1,sK1) ),
    inference(cnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYO604+1 : TPTP v8.2.0. Released v7.0.0.
% 0.06/0.12  % Command    : run_vampire %s %d SAT
% 0.12/0.32  % Computer : n017.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Jun 23 10:28:39 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_NEQ problem
% 0.12/0.35  Running first-order model finding
% 0.12/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.41  % (20275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (20282)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.41  % (20275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (20280)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.41  % (20275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (20281)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.41  % (20275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (20278)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.41  % (20275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (20279)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.41  % (20275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (20277)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.21/0.41  % (20275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (20276)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.42  TRYING [10]
% 0.21/0.42  TRYING [1]
% 0.21/0.42  TRYING [2]
% 0.21/0.42  TRYING [23]
% 0.21/0.42  TRYING [3]
% 0.21/0.43  TRYING [4]
% 0.21/0.46  TRYING [5]
% 0.21/0.47  % (20282)Instruction limit reached!
% 0.21/0.47  % (20282)------------------------------
% 0.21/0.47  % (20282)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (20282)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (20282)Termination reason: Time limit
% 0.21/0.47  % (20282)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (20282)Memory used [KB]: 3374
% 0.21/0.47  % (20282)Time elapsed: 0.059 s
% 0.21/0.47  % (20282)Instructions burned: 116 (million)
% 0.21/0.47  % (20280)Instruction limit reached!
% 0.21/0.47  % (20280)------------------------------
% 0.21/0.47  % (20280)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (20280)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (20280)Termination reason: Time limit
% 0.21/0.47  % (20280)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (20280)Memory used [KB]: 2093
% 0.21/0.47  % (20280)Time elapsed: 0.064 s
% 0.21/0.47  % (20280)Instructions burned: 105 (million)
% 0.21/0.49  % (20281)Instruction limit reached!
% 0.21/0.49  % (20281)------------------------------
% 0.21/0.49  % (20281)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49  % (20281)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49  % (20281)Termination reason: Time limit
% 0.21/0.49  % (20281)Termination phase: Saturation
% 0.21/0.49  
% 0.21/0.49  % (20281)Memory used [KB]: 2887
% 0.21/0.49  % (20281)Time elapsed: 0.083 s
% 0.21/0.49  % (20281)Instructions burned: 148 (million)
% 0.21/0.50  % (20275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.50  % (20283)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.21/0.51  % (20275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51  % (20284)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.53  % (20275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53  % (20285)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.21/0.53  TRYING [6]
% 0.21/0.56  % (20284)Instruction limit reached!
% 0.21/0.56  % (20284)------------------------------
% 0.21/0.56  % (20284)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.56  % (20284)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.56  % (20284)Termination reason: Time limit
% 0.21/0.56  % (20284)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (20284)Memory used [KB]: 3443
% 0.21/0.56  % (20284)Time elapsed: 0.053 s
% 0.21/0.56  % (20284)Instructions burned: 176 (million)
% 1.80/0.60  % (20275)Running in auto input_syntax mode. Trying TPTP
% 1.80/0.60  % (20286)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.80/0.61  % (20285)Instruction limit reached!
% 1.80/0.61  % (20285)------------------------------
% 1.80/0.61  % (20285)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.80/0.61  % (20285)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.80/0.61  % (20285)Termination reason: Time limit
% 1.80/0.61  % (20285)Termination phase: Saturation
% 1.80/0.61  
% 1.80/0.61  % (20285)Memory used [KB]: 3093
% 1.80/0.61  % (20285)Time elapsed: 0.084 s
% 1.80/0.61  % (20285)Instructions burned: 271 (million)
% 1.94/0.63  % (20283)First to succeed.
% 1.94/0.63  % (20283)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20275"
% 2.07/0.63  % (20275)Running in auto input_syntax mode. Trying TPTP
% 2.07/0.63  % (20283)Refutation found. Thanks to Tanya!
% 2.07/0.63  % SZS status Theorem for theBenchmark
% 2.07/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.63  % (20283)------------------------------
% 2.07/0.63  % (20283)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.07/0.63  % (20283)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.07/0.63  % (20283)Termination reason: Refutation
% 2.07/0.63  
% 2.07/0.63  % (20283)Memory used [KB]: 3802
% 2.07/0.63  % (20283)Time elapsed: 0.134 s
% 2.07/0.63  % (20283)Instructions burned: 386 (million)
% 2.07/0.63  % (20283)------------------------------
% 2.07/0.63  % (20283)------------------------------
% 2.07/0.63  % (20275)Success in time 0.263 s
%------------------------------------------------------------------------------