TSTP Solution File: SYO604+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYO604+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:48:37 EDT 2022

% Result   : Theorem 2.29s 0.68s
% Output   : Refutation 2.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  313 (   1 unt;   0 def)
%            Number of atoms       : 1569 (   0 equ)
%            Maximal formula atoms :   59 (   5 avg)
%            Number of connectives : 1988 ( 732   ~; 894   |; 312   &)
%                                         (  37 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   41 (  40 usr;  33 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   2 con; 0-1 aty)
%            Number of variables   :  495 ( 364   !; 131   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2276,plain,
    $false,
    inference(avatar_sat_refutation,[],[f124,f132,f136,f148,f186,f203,f346,f353,f354,f374,f663,f664,f707,f719,f720,f962,f1019,f1027,f1612,f1616,f1645,f1660,f1676,f1694,f1695,f1859,f1860,f1862,f1899,f1914,f1923,f1929,f1930,f2063,f2068,f2069,f2262,f2275]) ).

fof(f2275,plain,
    ( ~ spl17_113
    | ~ spl17_108 ),
    inference(avatar_split_clause,[],[f2274,f1585,f1609]) ).

fof(f1609,plain,
    ( spl17_113
  <=> g_false_only(sK6(sK12),sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_113])]) ).

fof(f1585,plain,
    ( spl17_108
  <=> ! [X2] :
        ( g_false_only(X2,sK6(sK12))
        | g_false_only(sK6(sK12),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_108])]) ).

fof(f2274,plain,
    ( ~ g_false_only(sK6(sK12),sK12)
    | ~ spl17_108 ),
    inference(subsumption_resolution,[],[f2245,f93]) ).

fof(f93,plain,
    ! [X5] :
      ( ~ g_false_only(sK14(X5),X5)
      | ~ g_false_only(X5,sK12) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ( ! [X0] :
          ( sP2(X0)
          | ! [X1] :
              ( ( g_true_only(X1,sK11(X1))
                & g_true_only(sK11(X1),X1) )
              | ! [X3] :
                  ( ( ~ g_both(X1,X3)
                    & ~ g_both(X3,X1) )
                  | g_false_only(X3,X1)
                  | g_false_only(X1,X3) )
              | ~ g_both(X1,X0) ) )
      | sP3 )
    & ! [X5] :
        ( ( ( ( ( g_true_only(X5,sK13(X5))
                & g_true_only(sK13(X5),X5) )
              | ! [X7] :
                  ( g_false_only(X5,X7)
                  | ( ~ g_both(X7,X5)
                    & ~ g_both(X5,X7) )
                  | g_false_only(X7,X5) ) )
            & ~ g_false_only(sK14(X5),X5)
            & ~ g_false_only(X5,sK14(X5)) )
          | ~ g_false_only(X5,sK12) )
        & ( ~ g_true_only(X5,sK12)
          | ( ! [X9] :
                ( ~ g_true_only(X5,X9)
                | ~ g_true_only(X9,X5) )
            & ( ( g_true_only(X5,sK15(X5))
                & g_true_only(sK15(X5),X5) )
              | ! [X11] :
                  ( ( ~ g_both(X5,X11)
                    & ~ g_both(X11,X5) )
                  | g_false_only(X5,X11)
                  | g_false_only(X11,X5) ) ) ) )
        & ( ~ g_both(X5,sK12)
          | ( ! [X12] :
                ( ~ g_true_only(X12,X5)
                | ~ g_true_only(X5,X12) )
            & ~ g_false_only(X5,sK16(X5))
            & ~ g_false_only(sK16(X5),X5) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16])],[f42,f48,f47,f46,f45,f44,f43]) ).

fof(f43,plain,
    ! [X1] :
      ( ? [X2] :
          ( g_true_only(X1,X2)
          & g_true_only(X2,X1) )
     => ( g_true_only(X1,sK11(X1))
        & g_true_only(sK11(X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ( ? [X4] :
      ! [X5] :
        ( ( ( ( ? [X6] :
                  ( g_true_only(X5,X6)
                  & g_true_only(X6,X5) )
              | ! [X7] :
                  ( g_false_only(X5,X7)
                  | ( ~ g_both(X7,X5)
                    & ~ g_both(X5,X7) )
                  | g_false_only(X7,X5) ) )
            & ? [X8] :
                ( ~ g_false_only(X8,X5)
                & ~ g_false_only(X5,X8) ) )
          | ~ g_false_only(X5,X4) )
        & ( ~ g_true_only(X5,X4)
          | ( ! [X9] :
                ( ~ g_true_only(X5,X9)
                | ~ g_true_only(X9,X5) )
            & ( ? [X10] :
                  ( g_true_only(X5,X10)
                  & g_true_only(X10,X5) )
              | ! [X11] :
                  ( ( ~ g_both(X5,X11)
                    & ~ g_both(X11,X5) )
                  | g_false_only(X5,X11)
                  | g_false_only(X11,X5) ) ) ) )
        & ( ~ g_both(X5,X4)
          | ( ! [X12] :
                ( ~ g_true_only(X12,X5)
                | ~ g_true_only(X5,X12) )
            & ? [X13] :
                ( ~ g_false_only(X5,X13)
                & ~ g_false_only(X13,X5) ) ) ) )
   => ! [X5] :
        ( ( ( ( ? [X6] :
                  ( g_true_only(X5,X6)
                  & g_true_only(X6,X5) )
              | ! [X7] :
                  ( g_false_only(X5,X7)
                  | ( ~ g_both(X7,X5)
                    & ~ g_both(X5,X7) )
                  | g_false_only(X7,X5) ) )
            & ? [X8] :
                ( ~ g_false_only(X8,X5)
                & ~ g_false_only(X5,X8) ) )
          | ~ g_false_only(X5,sK12) )
        & ( ~ g_true_only(X5,sK12)
          | ( ! [X9] :
                ( ~ g_true_only(X5,X9)
                | ~ g_true_only(X9,X5) )
            & ( ? [X10] :
                  ( g_true_only(X5,X10)
                  & g_true_only(X10,X5) )
              | ! [X11] :
                  ( ( ~ g_both(X5,X11)
                    & ~ g_both(X11,X5) )
                  | g_false_only(X5,X11)
                  | g_false_only(X11,X5) ) ) ) )
        & ( ~ g_both(X5,sK12)
          | ( ! [X12] :
                ( ~ g_true_only(X12,X5)
                | ~ g_true_only(X5,X12) )
            & ? [X13] :
                ( ~ g_false_only(X5,X13)
                & ~ g_false_only(X13,X5) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ! [X5] :
      ( ? [X6] :
          ( g_true_only(X5,X6)
          & g_true_only(X6,X5) )
     => ( g_true_only(X5,sK13(X5))
        & g_true_only(sK13(X5),X5) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ! [X5] :
      ( ? [X8] :
          ( ~ g_false_only(X8,X5)
          & ~ g_false_only(X5,X8) )
     => ( ~ g_false_only(sK14(X5),X5)
        & ~ g_false_only(X5,sK14(X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ! [X5] :
      ( ? [X10] :
          ( g_true_only(X5,X10)
          & g_true_only(X10,X5) )
     => ( g_true_only(X5,sK15(X5))
        & g_true_only(sK15(X5),X5) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X5] :
      ( ? [X13] :
          ( ~ g_false_only(X5,X13)
          & ~ g_false_only(X13,X5) )
     => ( ~ g_false_only(X5,sK16(X5))
        & ~ g_false_only(sK16(X5),X5) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ( ( ! [X0] :
          ( sP2(X0)
          | ! [X1] :
              ( ? [X2] :
                  ( g_true_only(X1,X2)
                  & g_true_only(X2,X1) )
              | ! [X3] :
                  ( ( ~ g_both(X1,X3)
                    & ~ g_both(X3,X1) )
                  | g_false_only(X3,X1)
                  | g_false_only(X1,X3) )
              | ~ g_both(X1,X0) ) )
      | sP3 )
    & ? [X4] :
      ! [X5] :
        ( ( ( ( ? [X6] :
                  ( g_true_only(X5,X6)
                  & g_true_only(X6,X5) )
              | ! [X7] :
                  ( g_false_only(X5,X7)
                  | ( ~ g_both(X7,X5)
                    & ~ g_both(X5,X7) )
                  | g_false_only(X7,X5) ) )
            & ? [X8] :
                ( ~ g_false_only(X8,X5)
                & ~ g_false_only(X5,X8) ) )
          | ~ g_false_only(X5,X4) )
        & ( ~ g_true_only(X5,X4)
          | ( ! [X9] :
                ( ~ g_true_only(X5,X9)
                | ~ g_true_only(X9,X5) )
            & ( ? [X10] :
                  ( g_true_only(X5,X10)
                  & g_true_only(X10,X5) )
              | ! [X11] :
                  ( ( ~ g_both(X5,X11)
                    & ~ g_both(X11,X5) )
                  | g_false_only(X5,X11)
                  | g_false_only(X11,X5) ) ) ) )
        & ( ~ g_both(X5,X4)
          | ( ! [X12] :
                ( ~ g_true_only(X12,X5)
                | ~ g_true_only(X5,X12) )
            & ? [X13] :
                ( ~ g_false_only(X5,X13)
                & ~ g_false_only(X13,X5) ) ) ) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,plain,
    ( ( ! [X14] :
          ( sP2(X14)
          | ! [X24] :
              ( ? [X25] :
                  ( g_true_only(X24,X25)
                  & g_true_only(X25,X24) )
              | ! [X26] :
                  ( ( ~ g_both(X24,X26)
                    & ~ g_both(X26,X24) )
                  | g_false_only(X26,X24)
                  | g_false_only(X24,X26) )
              | ~ g_both(X24,X14) ) )
      | sP3 )
    & ? [X0] :
      ! [X1] :
        ( ( ( ( ? [X8] :
                  ( g_true_only(X1,X8)
                  & g_true_only(X8,X1) )
              | ! [X7] :
                  ( g_false_only(X1,X7)
                  | ( ~ g_both(X7,X1)
                    & ~ g_both(X1,X7) )
                  | g_false_only(X7,X1) ) )
            & ? [X9] :
                ( ~ g_false_only(X9,X1)
                & ~ g_false_only(X1,X9) ) )
          | ~ g_false_only(X1,X0) )
        & ( ~ g_true_only(X1,X0)
          | ( ! [X4] :
                ( ~ g_true_only(X1,X4)
                | ~ g_true_only(X4,X1) )
            & ( ? [X5] :
                  ( g_true_only(X1,X5)
                  & g_true_only(X5,X1) )
              | ! [X6] :
                  ( ( ~ g_both(X1,X6)
                    & ~ g_both(X6,X1) )
                  | g_false_only(X1,X6)
                  | g_false_only(X6,X1) ) ) ) )
        & ( ~ g_both(X1,X0)
          | ( ! [X3] :
                ( ~ g_true_only(X3,X1)
                | ~ g_true_only(X1,X3) )
            & ? [X2] :
                ( ~ g_false_only(X1,X2)
                & ~ g_false_only(X2,X1) ) ) ) ) ),
    inference(definition_folding,[],[f12,f16,f15,f14,f13]) ).

fof(f13,plain,
    ! [X15] :
      ( ( ! [X23] :
            ( ~ g_true_only(X15,X23)
            | ~ g_true_only(X23,X15) )
        & ? [X22] :
            ( ( g_both(X22,X15)
              | g_both(X15,X22) )
            & ~ g_false_only(X22,X15)
            & ~ g_false_only(X15,X22) ) )
      | ? [X21] :
          ( g_true_only(X21,X15)
          & g_true_only(X15,X21) )
      | ~ sP0(X15) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f14,plain,
    ! [X15,X14] :
      ( ( ( ! [X16] :
              ( g_false_only(X16,X15)
              | g_false_only(X15,X16) )
          | ( ? [X18] :
                ( ~ g_false_only(X18,X15)
                & ~ g_false_only(X15,X18)
                & ( g_both(X15,X18)
                  | g_both(X18,X15) ) )
            & ! [X17] :
                ( ~ g_true_only(X17,X15)
                | ~ g_true_only(X15,X17) ) ) )
        & g_false_only(X15,X14) )
      | ~ sP1(X15,X14) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f15,plain,
    ! [X14] :
      ( ? [X15] :
          ( sP1(X15,X14)
          | ( g_both(X15,X14)
            & ( ? [X20] :
                  ( g_true_only(X15,X20)
                  & g_true_only(X20,X15) )
              | ! [X19] :
                  ( g_false_only(X15,X19)
                  | g_false_only(X19,X15) ) ) )
          | ( sP0(X15)
            & g_true_only(X15,X14) ) )
      | ~ sP2(X14) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f16,plain,
    ( ? [X10] :
      ! [X11] :
        ( ( g_false_only(X11,X10)
          & ? [X12] :
              ( g_true_only(X12,X11)
              & g_true_only(X11,X12) ) )
        | ( ! [X13] :
              ( g_false_only(X13,X11)
              | g_false_only(X11,X13) )
          & g_true_only(X11,X10) ) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

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

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

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

fof(f1,conjecture,
    ( ! [X0] :
      ? [X1] :
        ( ( ( ! [X2] :
                ( g_false_only(X2,X1)
                | g_false_only(X1,X2) )
            | ? [X2] :
                ( g_true_only(X1,X2)
                & g_true_only(X2,X1) ) )
          & g_both(X1,X0) )
        | ( ( ? [X2] :
                ( g_true_only(X1,X2)
                & g_true_only(X2,X1) )
            | ( ~ ? [X2] :
                    ( g_true_only(X1,X2)
                    & g_true_only(X2,X1) )
              & ? [X2] :
                  ( ~ g_false_only(X2,X1)
                  & ( g_both(X2,X1)
                    | g_both(X1,X2) )
                  & ~ g_false_only(X1,X2) ) ) )
          & g_true_only(X1,X0) )
        | ( g_false_only(X1,X0)
          & ( ( ? [X2] :
                  ( ( g_both(X1,X2)
                    | g_both(X2,X1) )
                  & ~ g_false_only(X2,X1)
                  & ~ g_false_only(X1,X2) )
              & ~ ? [X2] :
                    ( g_true_only(X2,X1)
                    & g_true_only(X1,X2) ) )
            | ! [X2] :
                ( g_false_only(X1,X2)
                | g_false_only(X2,X1) ) ) ) )
    | ( ~ ? [X0] :
          ! [X1] :
            ( ( ? [X2] :
                  ( g_true_only(X1,X2)
                  & g_true_only(X2,X1) )
              & g_false_only(X1,X0) )
            | ( g_true_only(X1,X0)
              & ! [X2] :
                  ( g_false_only(X2,X1)
                  | g_false_only(X1,X2) ) ) )
      & ? [X0] :
          ( ~ ? [X1] :
                ( ( g_false_only(X1,X0)
                  & ( ! [X2] :
                        ( g_false_only(X1,X2)
                        | g_false_only(X2,X1) )
                    | ( ~ ? [X2] :
                            ( g_true_only(X1,X2)
                            & g_true_only(X2,X1) )
                      & ? [X2] :
                          ( ( g_both(X1,X2)
                            | g_both(X2,X1) )
                          & ~ g_false_only(X2,X1)
                          & ~ g_false_only(X1,X2) ) ) ) )
                | ( ( ! [X2] :
                        ( g_false_only(X1,X2)
                        | g_false_only(X2,X1) )
                    | ? [X2] :
                        ( g_true_only(X2,X1)
                        & g_true_only(X1,X2) ) )
                  & g_both(X1,X0) )
                | ( ( ? [X2] :
                        ( g_true_only(X2,X1)
                        & g_true_only(X1,X2) )
                    | ( ? [X2] :
                          ( ~ g_false_only(X2,X1)
                          & ( g_both(X2,X1)
                            | g_both(X1,X2) )
                          & ~ g_false_only(X1,X2) )
                      & ~ ? [X2] :
                            ( g_true_only(X2,X1)
                            & g_true_only(X1,X2) ) ) )
                  & g_true_only(X1,X0) ) )
          & ? [X1] :
              ( g_both(X1,X0)
              & ~ ? [X2] :
                    ( g_true_only(X2,X1)
                    & g_true_only(X1,X2) )
              & ? [X2] :
                  ( ~ g_false_only(X1,X2)
                  & ( g_both(X1,X2)
                    | g_both(X2,X1) )
                  & ~ g_false_only(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc3) ).

fof(f2245,plain,
    ( g_false_only(sK14(sK6(sK12)),sK6(sK12))
    | ~ g_false_only(sK6(sK12),sK12)
    | ~ spl17_108 ),
    inference(resolution,[],[f1586,f92]) ).

fof(f92,plain,
    ! [X5] :
      ( ~ g_false_only(X5,sK14(X5))
      | ~ g_false_only(X5,sK12) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f1586,plain,
    ( ! [X2] :
        ( g_false_only(sK6(sK12),X2)
        | g_false_only(X2,sK6(sK12)) )
    | ~ spl17_108 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f2262,plain,
    ( ~ spl17_98
    | ~ spl17_108 ),
    inference(avatar_split_clause,[],[f2261,f1585,f1313]) ).

fof(f1313,plain,
    ( spl17_98
  <=> g_both(sK6(sK12),sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_98])]) ).

fof(f2261,plain,
    ( ~ g_both(sK6(sK12),sK12)
    | ~ spl17_108 ),
    inference(subsumption_resolution,[],[f2246,f84]) ).

fof(f84,plain,
    ! [X5] :
      ( ~ g_false_only(sK16(X5),X5)
      | ~ g_both(X5,sK12) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f2246,plain,
    ( g_false_only(sK16(sK6(sK12)),sK6(sK12))
    | ~ g_both(sK6(sK12),sK12)
    | ~ spl17_108 ),
    inference(resolution,[],[f1586,f85]) ).

fof(f85,plain,
    ! [X5] :
      ( ~ g_false_only(X5,sK16(X5))
      | ~ g_both(X5,sK12) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f2069,plain,
    ( spl17_108
    | spl17_102
    | ~ spl17_112 ),
    inference(avatar_split_clause,[],[f2066,f1603,f1538,f1585]) ).

fof(f1538,plain,
    ( spl17_102
  <=> ! [X5] :
        ( ~ g_true_only(X5,sK6(sK12))
        | ~ g_true_only(sK6(sK12),X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_102])]) ).

fof(f1603,plain,
    ( spl17_112
  <=> sP1(sK6(sK12),sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_112])]) ).

fof(f2066,plain,
    ( ! [X3,X4] :
        ( ~ g_true_only(X3,sK6(sK12))
        | ~ g_true_only(sK6(sK12),X3)
        | g_false_only(X4,sK6(sK12))
        | g_false_only(sK6(sK12),X4) )
    | ~ spl17_112 ),
    inference(resolution,[],[f1605,f72]) ).

fof(f72,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP1(X0,X1)
      | ~ g_true_only(X0,X4)
      | g_false_only(X0,X2)
      | g_false_only(X2,X0)
      | ~ g_true_only(X4,X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( ( ! [X2] :
              ( g_false_only(X2,X0)
              | g_false_only(X0,X2) )
          | ( ~ g_false_only(sK8(X0),X0)
            & ~ g_false_only(X0,sK8(X0))
            & ( g_both(X0,sK8(X0))
              | g_both(sK8(X0),X0) )
            & ! [X4] :
                ( ~ g_true_only(X4,X0)
                | ~ g_true_only(X0,X4) ) ) )
        & g_false_only(X0,X1) )
      | ~ sP1(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f34,f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ? [X3] :
          ( ~ g_false_only(X3,X0)
          & ~ g_false_only(X0,X3)
          & ( g_both(X0,X3)
            | g_both(X3,X0) ) )
     => ( ~ g_false_only(sK8(X0),X0)
        & ~ g_false_only(X0,sK8(X0))
        & ( g_both(X0,sK8(X0))
          | g_both(sK8(X0),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( ( ! [X2] :
              ( g_false_only(X2,X0)
              | g_false_only(X0,X2) )
          | ( ? [X3] :
                ( ~ g_false_only(X3,X0)
                & ~ g_false_only(X0,X3)
                & ( g_both(X0,X3)
                  | g_both(X3,X0) ) )
            & ! [X4] :
                ( ~ g_true_only(X4,X0)
                | ~ g_true_only(X0,X4) ) ) )
        & g_false_only(X0,X1) )
      | ~ sP1(X0,X1) ),
    inference(rectify,[],[f33]) ).

fof(f33,plain,
    ! [X15,X14] :
      ( ( ( ! [X16] :
              ( g_false_only(X16,X15)
              | g_false_only(X15,X16) )
          | ( ? [X18] :
                ( ~ g_false_only(X18,X15)
                & ~ g_false_only(X15,X18)
                & ( g_both(X15,X18)
                  | g_both(X18,X15) ) )
            & ! [X17] :
                ( ~ g_true_only(X17,X15)
                | ~ g_true_only(X15,X17) ) ) )
        & g_false_only(X15,X14) )
      | ~ sP1(X15,X14) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f1605,plain,
    ( sP1(sK6(sK12),sK12)
    | ~ spl17_112 ),
    inference(avatar_component_clause,[],[f1603]) ).

fof(f2068,plain,
    ( spl17_113
    | ~ spl17_112 ),
    inference(avatar_split_clause,[],[f2067,f1603,f1609]) ).

fof(f2067,plain,
    ( g_false_only(sK6(sK12),sK12)
    | ~ spl17_112 ),
    inference(resolution,[],[f1605,f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ sP1(X0,X1)
      | g_false_only(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f2063,plain,
    ( spl17_102
    | ~ spl17_98 ),
    inference(avatar_split_clause,[],[f2057,f1313,f1538]) ).

fof(f2057,plain,
    ( ! [X2] :
        ( ~ g_true_only(X2,sK6(sK12))
        | ~ g_true_only(sK6(sK12),X2) )
    | ~ spl17_98 ),
    inference(resolution,[],[f1314,f86]) ).

fof(f86,plain,
    ! [X5,X12] :
      ( ~ g_both(X5,sK12)
      | ~ g_true_only(X5,X12)
      | ~ g_true_only(X12,X5) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f1314,plain,
    ( g_both(sK6(sK12),sK12)
    | ~ spl17_98 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1930,plain,
    ( spl17_78
    | ~ spl17_59
    | ~ spl17_8
    | ~ spl17_13 ),
    inference(avatar_split_clause,[],[f1092,f184,f134,f801,f972]) ).

fof(f972,plain,
    ( spl17_78
  <=> ! [X3] :
        ( g_false_only(X3,sK16(sK12))
        | g_false_only(sK16(sK12),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_78])]) ).

fof(f801,plain,
    ( spl17_59
  <=> g_true_only(sK5(sK16(sK12)),sK16(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_59])]) ).

fof(f134,plain,
    ( spl17_8
  <=> ! [X1,X3] :
        ( g_true_only(X1,sK5(X1))
        | g_false_only(X3,X1)
        | g_false_only(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).

fof(f184,plain,
    ( spl17_13
  <=> ! [X1] :
        ( ~ g_true_only(sK16(sK12),X1)
        | ~ g_true_only(X1,sK16(sK12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).

fof(f1092,plain,
    ( ! [X4] :
        ( ~ g_true_only(sK5(sK16(sK12)),sK16(sK12))
        | g_false_only(sK16(sK12),X4)
        | g_false_only(X4,sK16(sK12)) )
    | ~ spl17_8
    | ~ spl17_13 ),
    inference(resolution,[],[f135,f185]) ).

fof(f185,plain,
    ( ! [X1] :
        ( ~ g_true_only(sK16(sK12),X1)
        | ~ g_true_only(X1,sK16(sK12)) )
    | ~ spl17_13 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f135,plain,
    ( ! [X3,X1] :
        ( g_true_only(X1,sK5(X1))
        | g_false_only(X1,X3)
        | g_false_only(X3,X1) )
    | ~ spl17_8 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f1929,plain,
    ( spl17_38
    | spl17_38
    | spl17_36
    | spl17_36
    | ~ spl17_7
    | ~ spl17_11 ),
    inference(avatar_split_clause,[],[f1263,f146,f130,f599,f599,f632,f632]) ).

fof(f632,plain,
    ( spl17_38
  <=> ! [X4] :
        ( g_false_only(sK12,X4)
        | ~ g_both(X4,sK12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_38])]) ).

fof(f599,plain,
    ( spl17_36
  <=> ! [X4] :
        ( ~ g_both(sK12,X4)
        | sP2(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_36])]) ).

fof(f130,plain,
    ( spl17_7
  <=> ! [X0,X1,X3] :
        ( g_false_only(X1,X3)
        | sP2(X0)
        | ~ g_both(X1,X0)
        | g_false_only(X3,X1)
        | ~ g_both(X3,X1)
        | g_true_only(X1,sK11(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).

fof(f146,plain,
    ( spl17_11
  <=> ! [X0,X1,X3] :
        ( g_false_only(X3,X1)
        | g_true_only(sK11(X1),X1)
        | ~ g_both(X3,X1)
        | sP2(X0)
        | g_false_only(X1,X3)
        | ~ g_both(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).

fof(f1263,plain,
    ( ! [X2,X3,X0,X1] :
        ( sP2(X3)
        | sP2(X0)
        | ~ g_both(sK12,X3)
        | ~ g_both(X2,sK12)
        | g_false_only(sK12,X2)
        | ~ g_both(sK12,X0)
        | ~ g_both(X1,sK12)
        | g_false_only(sK12,X1) )
    | ~ spl17_7
    | ~ spl17_11 ),
    inference(resolution,[],[f1262,f1168]) ).

fof(f1168,plain,
    ( ! [X3,X0,X1] :
        ( g_true_only(sK11(X1),X1)
        | g_false_only(X1,X3)
        | sP2(X0)
        | ~ g_both(X3,X1)
        | ~ g_both(X1,X0) )
    | ~ spl17_11 ),
    inference(subsumption_resolution,[],[f147,f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ~ g_false_only(X0,X1)
      | ~ g_both(X0,X1) ),
    inference(resolution,[],[f102,f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ g_true(X0,X1)
      | ~ g_false_only(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( ( g_false(X0,X1)
          & ~ g_true(X0,X1) )
        | ~ g_false_only(X0,X1) )
      & ( g_false_only(X0,X1)
        | ~ g_false(X0,X1)
        | g_true(X0,X1) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ! [X1,X0] :
      ( ( ( g_false(X1,X0)
          & ~ g_true(X1,X0) )
        | ~ g_false_only(X1,X0) )
      & ( g_false_only(X1,X0)
        | ~ g_false(X1,X0)
        | g_true(X1,X0) ) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ! [X1,X0] :
      ( ( ( g_false(X1,X0)
          & ~ g_true(X1,X0) )
        | ~ g_false_only(X1,X0) )
      & ( g_false_only(X1,X0)
        | ~ g_false(X1,X0)
        | g_true(X1,X0) ) ),
    inference(nnf_transformation,[],[f10]) ).

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

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

fof(f102,plain,
    ! [X0,X1] :
      ( g_true(X0,X1)
      | ~ g_both(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( g_both(X0,X1)
        | ~ g_false(X0,X1)
        | ~ g_true(X0,X1) )
      & ( ( g_false(X0,X1)
          & g_true(X0,X1) )
        | ~ g_both(X0,X1) ) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ( g_both(X0,X1)
        | ~ g_false(X0,X1)
        | ~ g_true(X0,X1) )
      & ( ( g_false(X0,X1)
          & g_true(X0,X1) )
        | ~ g_both(X0,X1) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,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_true(X3,X4)
        & g_false(X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).

fof(f147,plain,
    ( ! [X3,X0,X1] :
        ( g_false_only(X1,X3)
        | sP2(X0)
        | g_false_only(X3,X1)
        | g_true_only(sK11(X1),X1)
        | ~ g_both(X3,X1)
        | ~ g_both(X1,X0) )
    | ~ spl17_11 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f1262,plain,
    ( ! [X2,X0,X1] :
        ( ~ g_true_only(sK11(X0),sK12)
        | sP2(X1)
        | g_false_only(X0,X2)
        | ~ g_both(X2,X0)
        | ~ g_both(X0,X1) )
    | ~ spl17_7
    | ~ spl17_11 ),
    inference(subsumption_resolution,[],[f624,f1168]) ).

fof(f624,plain,
    ( ! [X2,X0,X1] :
        ( ~ g_true_only(sK11(X0),sK12)
        | sP2(X1)
        | ~ g_true_only(sK11(X0),X0)
        | g_false_only(X0,X2)
        | ~ g_both(X0,X1)
        | ~ g_both(X2,X0) )
    | ~ spl17_7 ),
    inference(resolution,[],[f623,f91]) ).

fof(f91,plain,
    ! [X9,X5] :
      ( ~ g_true_only(X9,X5)
      | ~ g_true_only(X5,X9)
      | ~ g_true_only(X5,sK12) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f623,plain,
    ( ! [X3,X0,X1] :
        ( g_true_only(X1,sK11(X1))
        | ~ g_both(X1,X0)
        | ~ g_both(X3,X1)
        | g_false_only(X1,X3)
        | sP2(X0) )
    | ~ spl17_7 ),
    inference(subsumption_resolution,[],[f131,f151]) ).

fof(f131,plain,
    ( ! [X3,X0,X1] :
        ( g_true_only(X1,sK11(X1))
        | g_false_only(X1,X3)
        | sP2(X0)
        | ~ g_both(X1,X0)
        | ~ g_both(X3,X1)
        | g_false_only(X3,X1) )
    | ~ spl17_7 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f1923,plain,
    ( spl17_100
    | ~ spl17_12
    | ~ spl17_36
    | ~ spl17_111 ),
    inference(avatar_split_clause,[],[f1922,f1599,f599,f180,f1321]) ).

fof(f1321,plain,
    ( spl17_100
  <=> sP0(sK6(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_100])]) ).

fof(f180,plain,
    ( spl17_12
  <=> g_both(sK12,sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).

fof(f1599,plain,
    ( spl17_111
  <=> g_true_only(sK6(sK12),sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_111])]) ).

fof(f1922,plain,
    ( sP0(sK6(sK12))
    | ~ spl17_12
    | ~ spl17_36
    | ~ spl17_111 ),
    inference(subsumption_resolution,[],[f1904,f809]) ).

fof(f809,plain,
    ( sP2(sK12)
    | ~ spl17_12
    | ~ spl17_36 ),
    inference(resolution,[],[f600,f181]) ).

fof(f181,plain,
    ( g_both(sK12,sK12)
    | ~ spl17_12 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f600,plain,
    ( ! [X4] :
        ( ~ g_both(sK12,X4)
        | sP2(X4) )
    | ~ spl17_36 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f1904,plain,
    ( sP0(sK6(sK12))
    | ~ sP2(sK12)
    | ~ spl17_111 ),
    inference(resolution,[],[f1601,f214]) ).

fof(f214,plain,
    ! [X1] :
      ( ~ g_true_only(sK6(X1),X1)
      | ~ sP2(X1)
      | sP0(sK6(X1)) ),
    inference(subsumption_resolution,[],[f213,f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ~ g_both(X0,X1)
      | ~ g_true_only(X0,X1) ),
    inference(resolution,[],[f103,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ g_false(X1,X0)
      | ~ g_true_only(X1,X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ( g_true_only(X1,X0)
        | ~ g_true(X1,X0)
        | g_false(X1,X0) )
      & ( ( g_true(X1,X0)
          & ~ g_false(X1,X0) )
        | ~ g_true_only(X1,X0) ) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( g_true_only(X1,X0)
        | ~ g_true(X1,X0)
        | g_false(X1,X0) )
      & ( ( g_true(X1,X0)
          & ~ g_false(X1,X0) )
        | ~ g_true_only(X1,X0) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( g_true_only(X1,X0)
    <=> ( g_true(X1,X0)
        & ~ g_false(X1,X0) ) ),
    inference(rectify,[],[f3]) ).

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

fof(f103,plain,
    ! [X0,X1] :
      ( g_false(X0,X1)
      | ~ g_both(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f213,plain,
    ! [X1] :
      ( g_both(sK6(X1),X1)
      | ~ sP2(X1)
      | sP0(sK6(X1))
      | ~ g_true_only(sK6(X1),X1) ),
    inference(resolution,[],[f209,f149]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ~ g_false_only(X0,X1)
      | ~ g_true_only(X0,X1) ),
    inference(resolution,[],[f56,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( g_false(X0,X1)
      | ~ g_false_only(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f209,plain,
    ! [X0] :
      ( g_false_only(sK6(X0),X0)
      | sP0(sK6(X0))
      | g_both(sK6(X0),X0)
      | ~ sP2(X0) ),
    inference(resolution,[],[f70,f71]) ).

fof(f70,plain,
    ! [X0] :
      ( sP1(sK6(X0),X0)
      | sP0(sK6(X0))
      | ~ sP2(X0)
      | g_both(sK6(X0),X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( sP1(sK6(X0),X0)
      | ( g_both(sK6(X0),X0)
        & ( ( g_true_only(sK6(X0),sK7(X0))
            & g_true_only(sK7(X0),sK6(X0)) )
          | ! [X3] :
              ( g_false_only(sK6(X0),X3)
              | g_false_only(X3,sK6(X0)) ) ) )
      | ( sP0(sK6(X0))
        & g_true_only(sK6(X0),X0) )
      | ~ sP2(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f29,f31,f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ? [X1] :
          ( sP1(X1,X0)
          | ( g_both(X1,X0)
            & ( ? [X2] :
                  ( g_true_only(X1,X2)
                  & g_true_only(X2,X1) )
              | ! [X3] :
                  ( g_false_only(X1,X3)
                  | g_false_only(X3,X1) ) ) )
          | ( sP0(X1)
            & g_true_only(X1,X0) ) )
     => ( sP1(sK6(X0),X0)
        | ( g_both(sK6(X0),X0)
          & ( ? [X2] :
                ( g_true_only(sK6(X0),X2)
                & g_true_only(X2,sK6(X0)) )
            | ! [X3] :
                ( g_false_only(sK6(X0),X3)
                | g_false_only(X3,sK6(X0)) ) ) )
        | ( sP0(sK6(X0))
          & g_true_only(sK6(X0),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0] :
      ( ? [X2] :
          ( g_true_only(sK6(X0),X2)
          & g_true_only(X2,sK6(X0)) )
     => ( g_true_only(sK6(X0),sK7(X0))
        & g_true_only(sK7(X0),sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0] :
      ( ? [X1] :
          ( sP1(X1,X0)
          | ( g_both(X1,X0)
            & ( ? [X2] :
                  ( g_true_only(X1,X2)
                  & g_true_only(X2,X1) )
              | ! [X3] :
                  ( g_false_only(X1,X3)
                  | g_false_only(X3,X1) ) ) )
          | ( sP0(X1)
            & g_true_only(X1,X0) ) )
      | ~ sP2(X0) ),
    inference(rectify,[],[f28]) ).

fof(f28,plain,
    ! [X14] :
      ( ? [X15] :
          ( sP1(X15,X14)
          | ( g_both(X15,X14)
            & ( ? [X20] :
                  ( g_true_only(X15,X20)
                  & g_true_only(X20,X15) )
              | ! [X19] :
                  ( g_false_only(X15,X19)
                  | g_false_only(X19,X15) ) ) )
          | ( sP0(X15)
            & g_true_only(X15,X14) ) )
      | ~ sP2(X14) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f1601,plain,
    ( g_true_only(sK6(sK12),sK12)
    | ~ spl17_111 ),
    inference(avatar_component_clause,[],[f1599]) ).

fof(f1914,plain,
    ( ~ spl17_100
    | ~ spl17_111 ),
    inference(avatar_split_clause,[],[f1905,f1599,f1321]) ).

fof(f1905,plain,
    ( ~ sP0(sK6(sK12))
    | ~ spl17_111 ),
    inference(resolution,[],[f1601,f479]) ).

fof(f479,plain,
    ! [X3] :
      ( ~ g_true_only(X3,sK12)
      | ~ sP0(X3) ),
    inference(subsumption_resolution,[],[f478,f473]) ).

fof(f473,plain,
    ! [X0] :
      ( ~ g_true_only(X0,sK10(X0))
      | ~ g_true_only(X0,sK12)
      | ~ sP0(X0) ),
    inference(duplicate_literal_removal,[],[f472]) ).

fof(f472,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | ~ g_true_only(X0,sK10(X0))
      | ~ g_true_only(X0,sK12)
      | ~ g_true_only(X0,sK12) ),
    inference(resolution,[],[f471,f91]) ).

fof(f471,plain,
    ! [X2] :
      ( g_true_only(sK10(X2),X2)
      | ~ g_true_only(X2,sK12)
      | ~ sP0(X2) ),
    inference(subsumption_resolution,[],[f444,f363]) ).

fof(f363,plain,
    ! [X14] :
      ( ~ g_both(X14,sK9(X14))
      | ~ g_true_only(X14,sK12)
      | ~ sP0(X14)
      | g_true_only(sK10(X14),X14) ),
    inference(resolution,[],[f350,f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ~ g_false_only(sK9(X0),X0)
      | ~ sP0(X0)
      | g_true_only(sK10(X0),X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ g_true_only(X0,X1)
            | ~ g_true_only(X1,X0) )
        & ( g_both(sK9(X0),X0)
          | g_both(X0,sK9(X0)) )
        & ~ g_false_only(sK9(X0),X0)
        & ~ g_false_only(X0,sK9(X0)) )
      | ( g_true_only(sK10(X0),X0)
        & g_true_only(X0,sK10(X0)) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f38,f40,f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ? [X2] :
          ( ( g_both(X2,X0)
            | g_both(X0,X2) )
          & ~ g_false_only(X2,X0)
          & ~ g_false_only(X0,X2) )
     => ( ( g_both(sK9(X0),X0)
          | g_both(X0,sK9(X0)) )
        & ~ g_false_only(sK9(X0),X0)
        & ~ g_false_only(X0,sK9(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0] :
      ( ? [X3] :
          ( g_true_only(X3,X0)
          & g_true_only(X0,X3) )
     => ( g_true_only(sK10(X0),X0)
        & g_true_only(X0,sK10(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f38,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ g_true_only(X0,X1)
            | ~ g_true_only(X1,X0) )
        & ? [X2] :
            ( ( g_both(X2,X0)
              | g_both(X0,X2) )
            & ~ g_false_only(X2,X0)
            & ~ g_false_only(X0,X2) ) )
      | ? [X3] :
          ( g_true_only(X3,X0)
          & g_true_only(X0,X3) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f37]) ).

fof(f37,plain,
    ! [X15] :
      ( ( ! [X23] :
            ( ~ g_true_only(X15,X23)
            | ~ g_true_only(X23,X15) )
        & ? [X22] :
            ( ( g_both(X22,X15)
              | g_both(X15,X22) )
            & ~ g_false_only(X22,X15)
            & ~ g_false_only(X15,X22) ) )
      | ? [X21] :
          ( g_true_only(X21,X15)
          & g_true_only(X15,X21) )
      | ~ sP0(X15) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f350,plain,
    ! [X11,X5] :
      ( g_false_only(X11,X5)
      | ~ g_both(X5,X11)
      | ~ g_true_only(X5,sK12) ),
    inference(subsumption_resolution,[],[f349,f251]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( ~ g_true_only(X0,sK15(X0))
      | ~ g_both(X0,X1)
      | ~ g_true_only(X0,sK12)
      | g_false_only(X1,X0) ),
    inference(duplicate_literal_removal,[],[f250]) ).

fof(f250,plain,
    ! [X0,X1] :
      ( g_false_only(X1,X0)
      | ~ g_true_only(X0,sK12)
      | ~ g_true_only(X0,sK15(X0))
      | ~ g_true_only(X0,sK12)
      | ~ g_both(X0,X1) ),
    inference(resolution,[],[f249,f91]) ).

fof(f249,plain,
    ! [X11,X5] :
      ( g_true_only(sK15(X5),X5)
      | ~ g_true_only(X5,sK12)
      | ~ g_both(X5,X11)
      | g_false_only(X11,X5) ),
    inference(subsumption_resolution,[],[f88,f151]) ).

fof(f88,plain,
    ! [X11,X5] :
      ( g_true_only(sK15(X5),X5)
      | g_false_only(X11,X5)
      | g_false_only(X5,X11)
      | ~ g_both(X5,X11)
      | ~ g_true_only(X5,sK12) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f349,plain,
    ! [X11,X5] :
      ( g_true_only(X5,sK15(X5))
      | ~ g_true_only(X5,sK12)
      | g_false_only(X11,X5)
      | ~ g_both(X5,X11) ),
    inference(subsumption_resolution,[],[f90,f151]) ).

fof(f90,plain,
    ! [X11,X5] :
      ( g_true_only(X5,sK15(X5))
      | ~ g_true_only(X5,sK12)
      | ~ g_both(X5,X11)
      | g_false_only(X5,X11)
      | g_false_only(X11,X5) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f444,plain,
    ! [X2] :
      ( ~ g_true_only(X2,sK12)
      | g_both(X2,sK9(X2))
      | ~ sP0(X2)
      | g_true_only(sK10(X2),X2) ),
    inference(duplicate_literal_removal,[],[f439]) ).

fof(f439,plain,
    ! [X2] :
      ( g_true_only(sK10(X2),X2)
      | g_true_only(sK10(X2),X2)
      | g_both(X2,sK9(X2))
      | ~ sP0(X2)
      | ~ sP0(X2)
      | ~ g_true_only(X2,sK12) ),
    inference(resolution,[],[f257,f81]) ).

fof(f81,plain,
    ! [X0] :
      ( g_both(sK9(X0),X0)
      | g_both(X0,sK9(X0))
      | ~ sP0(X0)
      | g_true_only(sK10(X0),X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f257,plain,
    ! [X7] :
      ( ~ g_both(sK9(X7),X7)
      | ~ g_true_only(X7,sK12)
      | g_true_only(sK10(X7),X7)
      | ~ sP0(X7) ),
    inference(resolution,[],[f253,f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ g_false_only(X0,sK9(X0))
      | ~ sP0(X0)
      | g_true_only(sK10(X0),X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f253,plain,
    ! [X11,X5] :
      ( g_false_only(X5,X11)
      | ~ g_both(X11,X5)
      | ~ g_true_only(X5,sK12) ),
    inference(subsumption_resolution,[],[f252,f248]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( ~ g_true_only(X0,sK15(X0))
      | ~ g_both(X1,X0)
      | g_false_only(X0,X1)
      | ~ g_true_only(X0,sK12) ),
    inference(duplicate_literal_removal,[],[f247]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( ~ g_true_only(X0,sK12)
      | ~ g_true_only(X0,sK15(X0))
      | ~ g_both(X1,X0)
      | ~ g_true_only(X0,sK12)
      | g_false_only(X0,X1) ),
    inference(resolution,[],[f246,f91]) ).

fof(f246,plain,
    ! [X11,X5] :
      ( g_true_only(sK15(X5),X5)
      | ~ g_true_only(X5,sK12)
      | ~ g_both(X11,X5)
      | g_false_only(X5,X11) ),
    inference(subsumption_resolution,[],[f87,f151]) ).

fof(f87,plain,
    ! [X11,X5] :
      ( g_false_only(X11,X5)
      | ~ g_true_only(X5,sK12)
      | g_true_only(sK15(X5),X5)
      | ~ g_both(X11,X5)
      | g_false_only(X5,X11) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f252,plain,
    ! [X11,X5] :
      ( ~ g_both(X11,X5)
      | g_false_only(X5,X11)
      | ~ g_true_only(X5,sK12)
      | g_true_only(X5,sK15(X5)) ),
    inference(subsumption_resolution,[],[f89,f151]) ).

fof(f89,plain,
    ! [X11,X5] :
      ( ~ g_true_only(X5,sK12)
      | g_false_only(X5,X11)
      | g_true_only(X5,sK15(X5))
      | ~ g_both(X11,X5)
      | g_false_only(X11,X5) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f478,plain,
    ! [X3] :
      ( ~ g_true_only(X3,sK12)
      | ~ sP0(X3)
      | g_true_only(X3,sK10(X3)) ),
    inference(subsumption_resolution,[],[f449,f364]) ).

fof(f364,plain,
    ! [X15] :
      ( ~ g_both(X15,sK9(X15))
      | g_true_only(X15,sK10(X15))
      | ~ g_true_only(X15,sK12)
      | ~ sP0(X15) ),
    inference(resolution,[],[f350,f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ g_false_only(sK9(X0),X0)
      | ~ sP0(X0)
      | g_true_only(X0,sK10(X0)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f449,plain,
    ! [X3] :
      ( ~ g_true_only(X3,sK12)
      | ~ sP0(X3)
      | g_both(X3,sK9(X3))
      | g_true_only(X3,sK10(X3)) ),
    inference(duplicate_literal_removal,[],[f448]) ).

fof(f448,plain,
    ! [X3] :
      ( ~ sP0(X3)
      | ~ sP0(X3)
      | g_true_only(X3,sK10(X3))
      | g_true_only(X3,sK10(X3))
      | ~ g_true_only(X3,sK12)
      | g_both(X3,sK9(X3)) ),
    inference(resolution,[],[f258,f80]) ).

fof(f80,plain,
    ! [X0] :
      ( g_both(sK9(X0),X0)
      | g_both(X0,sK9(X0))
      | ~ sP0(X0)
      | g_true_only(X0,sK10(X0)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f258,plain,
    ! [X8] :
      ( ~ g_both(sK9(X8),X8)
      | g_true_only(X8,sK10(X8))
      | ~ g_true_only(X8,sK12)
      | ~ sP0(X8) ),
    inference(resolution,[],[f253,f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ g_false_only(X0,sK9(X0))
      | ~ sP0(X0)
      | g_true_only(X0,sK10(X0)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f1899,plain,
    ( spl17_112
    | spl17_111
    | spl17_108
    | ~ spl17_12
    | ~ spl17_36
    | ~ spl17_102
    | ~ spl17_110 ),
    inference(avatar_split_clause,[],[f1898,f1595,f1538,f599,f180,f1585,f1599,f1603]) ).

fof(f1595,plain,
    ( spl17_110
  <=> g_true_only(sK7(sK12),sK6(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_110])]) ).

fof(f1898,plain,
    ( ! [X0] :
        ( g_false_only(sK6(sK12),X0)
        | g_false_only(X0,sK6(sK12))
        | g_true_only(sK6(sK12),sK12)
        | sP1(sK6(sK12),sK12) )
    | ~ spl17_12
    | ~ spl17_36
    | ~ spl17_102
    | ~ spl17_110 ),
    inference(subsumption_resolution,[],[f1897,f1596]) ).

fof(f1596,plain,
    ( g_true_only(sK7(sK12),sK6(sK12))
    | ~ spl17_110 ),
    inference(avatar_component_clause,[],[f1595]) ).

fof(f1897,plain,
    ( ! [X0] :
        ( sP1(sK6(sK12),sK12)
        | g_true_only(sK6(sK12),sK12)
        | g_false_only(sK6(sK12),X0)
        | g_false_only(X0,sK6(sK12))
        | ~ g_true_only(sK7(sK12),sK6(sK12)) )
    | ~ spl17_12
    | ~ spl17_36
    | ~ spl17_102 ),
    inference(subsumption_resolution,[],[f1801,f809]) ).

fof(f1801,plain,
    ( ! [X0] :
        ( ~ sP2(sK12)
        | ~ g_true_only(sK7(sK12),sK6(sK12))
        | sP1(sK6(sK12),sK12)
        | g_true_only(sK6(sK12),sK12)
        | g_false_only(X0,sK6(sK12))
        | g_false_only(sK6(sK12),X0) )
    | ~ spl17_102 ),
    inference(resolution,[],[f1539,f67]) ).

fof(f67,plain,
    ! [X3,X0] :
      ( g_true_only(sK6(X0),sK7(X0))
      | g_false_only(X3,sK6(X0))
      | sP1(sK6(X0),X0)
      | ~ sP2(X0)
      | g_false_only(sK6(X0),X3)
      | g_true_only(sK6(X0),X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f1539,plain,
    ( ! [X5] :
        ( ~ g_true_only(sK6(sK12),X5)
        | ~ g_true_only(X5,sK6(sK12)) )
    | ~ spl17_102 ),
    inference(avatar_component_clause,[],[f1538]) ).

fof(f1862,plain,
    ( spl17_125
    | ~ spl17_103
    | ~ spl17_113 ),
    inference(avatar_split_clause,[],[f1861,f1609,f1544,f1767]) ).

fof(f1767,plain,
    ( spl17_125
  <=> g_true_only(sK6(sK12),sK14(sK6(sK12))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_125])]) ).

fof(f1544,plain,
    ( spl17_103
  <=> ! [X2] :
        ( g_false_only(X2,sK6(sK12))
        | ~ g_both(sK6(sK12),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_103])]) ).

fof(f1861,plain,
    ( g_true_only(sK6(sK12),sK14(sK6(sK12)))
    | ~ spl17_103
    | ~ spl17_113 ),
    inference(subsumption_resolution,[],[f1838,f1610]) ).

fof(f1610,plain,
    ( g_false_only(sK6(sK12),sK12)
    | ~ spl17_113 ),
    inference(avatar_component_clause,[],[f1609]) ).

fof(f1838,plain,
    ( ~ g_false_only(sK6(sK12),sK12)
    | g_true_only(sK6(sK12),sK14(sK6(sK12)))
    | ~ spl17_103
    | ~ spl17_113 ),
    inference(resolution,[],[f1835,f158]) ).

fof(f158,plain,
    ! [X5] :
      ( g_both(X5,sK14(X5))
      | g_true_only(X5,sK14(X5))
      | ~ g_false_only(X5,sK12) ),
    inference(resolution,[],[f55,f92]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( g_false_only(X0,X1)
      | g_true_only(X0,X1)
      | g_both(X0,X1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( g_false_only(X0,X1)
      | g_true_only(X0,X1)
      | g_both(X0,X1) ),
    inference(rectify,[],[f6]) ).

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

fof(f1835,plain,
    ( ~ g_both(sK6(sK12),sK14(sK6(sK12)))
    | ~ spl17_103
    | ~ spl17_113 ),
    inference(subsumption_resolution,[],[f1828,f1610]) ).

fof(f1828,plain,
    ( ~ g_false_only(sK6(sK12),sK12)
    | ~ g_both(sK6(sK12),sK14(sK6(sK12)))
    | ~ spl17_103 ),
    inference(resolution,[],[f1545,f93]) ).

fof(f1545,plain,
    ( ! [X2] :
        ( g_false_only(X2,sK6(sK12))
        | ~ g_both(sK6(sK12),X2) )
    | ~ spl17_103 ),
    inference(avatar_component_clause,[],[f1544]) ).

fof(f1860,plain,
    ( ~ spl17_127
    | ~ spl17_102
    | ~ spl17_125 ),
    inference(avatar_split_clause,[],[f1803,f1767,f1538,f1791]) ).

fof(f1791,plain,
    ( spl17_127
  <=> g_true_only(sK14(sK6(sK12)),sK6(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_127])]) ).

fof(f1803,plain,
    ( ~ g_true_only(sK14(sK6(sK12)),sK6(sK12))
    | ~ spl17_102
    | ~ spl17_125 ),
    inference(resolution,[],[f1539,f1769]) ).

fof(f1769,plain,
    ( g_true_only(sK6(sK12),sK14(sK6(sK12)))
    | ~ spl17_125 ),
    inference(avatar_component_clause,[],[f1767]) ).

fof(f1859,plain,
    ( spl17_127
    | ~ spl17_105
    | ~ spl17_113 ),
    inference(avatar_split_clause,[],[f1856,f1609,f1574,f1791]) ).

fof(f1574,plain,
    ( spl17_105
  <=> ! [X7] :
        ( g_false_only(sK6(sK12),X7)
        | ~ g_both(X7,sK6(sK12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_105])]) ).

fof(f1856,plain,
    ( g_true_only(sK14(sK6(sK12)),sK6(sK12))
    | ~ spl17_105
    | ~ spl17_113 ),
    inference(subsumption_resolution,[],[f1855,f1610]) ).

fof(f1855,plain,
    ( ~ g_false_only(sK6(sK12),sK12)
    | g_true_only(sK14(sK6(sK12)),sK6(sK12))
    | ~ spl17_105
    | ~ spl17_113 ),
    inference(resolution,[],[f1849,f160]) ).

fof(f160,plain,
    ! [X7] :
      ( g_both(sK14(X7),X7)
      | ~ g_false_only(X7,sK12)
      | g_true_only(sK14(X7),X7) ),
    inference(resolution,[],[f55,f93]) ).

fof(f1849,plain,
    ( ~ g_both(sK14(sK6(sK12)),sK6(sK12))
    | ~ spl17_105
    | ~ spl17_113 ),
    inference(subsumption_resolution,[],[f1847,f1610]) ).

fof(f1847,plain,
    ( ~ g_false_only(sK6(sK12),sK12)
    | ~ g_both(sK14(sK6(sK12)),sK6(sK12))
    | ~ spl17_105 ),
    inference(resolution,[],[f1575,f92]) ).

fof(f1575,plain,
    ( ! [X7] :
        ( g_false_only(sK6(sK12),X7)
        | ~ g_both(X7,sK6(sK12)) )
    | ~ spl17_105 ),
    inference(avatar_component_clause,[],[f1574]) ).

fof(f1695,plain,
    ( ~ spl17_98
    | ~ spl17_113 ),
    inference(avatar_split_clause,[],[f1669,f1609,f1313]) ).

fof(f1669,plain,
    ( ~ g_both(sK6(sK12),sK12)
    | ~ spl17_113 ),
    inference(resolution,[],[f1610,f151]) ).

fof(f1694,plain,
    ( spl17_98
    | ~ spl17_12
    | ~ spl17_36
    | spl17_111
    | spl17_112 ),
    inference(avatar_split_clause,[],[f1689,f1603,f1599,f599,f180,f1313]) ).

fof(f1689,plain,
    ( g_both(sK6(sK12),sK12)
    | ~ spl17_12
    | ~ spl17_36
    | spl17_111
    | spl17_112 ),
    inference(subsumption_resolution,[],[f1688,f1600]) ).

fof(f1600,plain,
    ( ~ g_true_only(sK6(sK12),sK12)
    | spl17_111 ),
    inference(avatar_component_clause,[],[f1599]) ).

fof(f1688,plain,
    ( g_true_only(sK6(sK12),sK12)
    | g_both(sK6(sK12),sK12)
    | ~ spl17_12
    | ~ spl17_36
    | spl17_112 ),
    inference(subsumption_resolution,[],[f1683,f809]) ).

fof(f1683,plain,
    ( ~ sP2(sK12)
    | g_true_only(sK6(sK12),sK12)
    | g_both(sK6(sK12),sK12)
    | spl17_112 ),
    inference(resolution,[],[f1604,f69]) ).

fof(f69,plain,
    ! [X0] :
      ( sP1(sK6(X0),X0)
      | g_true_only(sK6(X0),X0)
      | ~ sP2(X0)
      | g_both(sK6(X0),X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f1604,plain,
    ( ~ sP1(sK6(sK12),sK12)
    | spl17_112 ),
    inference(avatar_component_clause,[],[f1603]) ).

fof(f1676,plain,
    ( spl17_112
    | spl17_108
    | ~ spl17_12
    | ~ spl17_36
    | spl17_110
    | spl17_111 ),
    inference(avatar_split_clause,[],[f1675,f1599,f1595,f599,f180,f1585,f1603]) ).

fof(f1675,plain,
    ( ! [X0] :
        ( g_false_only(X0,sK6(sK12))
        | g_false_only(sK6(sK12),X0)
        | sP1(sK6(sK12),sK12) )
    | ~ spl17_12
    | ~ spl17_36
    | spl17_110
    | spl17_111 ),
    inference(subsumption_resolution,[],[f1674,f809]) ).

fof(f1674,plain,
    ( ! [X0] :
        ( sP1(sK6(sK12),sK12)
        | g_false_only(sK6(sK12),X0)
        | g_false_only(X0,sK6(sK12))
        | ~ sP2(sK12) )
    | spl17_110
    | spl17_111 ),
    inference(subsumption_resolution,[],[f1672,f1600]) ).

fof(f1672,plain,
    ( ! [X0] :
        ( sP1(sK6(sK12),sK12)
        | g_true_only(sK6(sK12),sK12)
        | ~ sP2(sK12)
        | g_false_only(X0,sK6(sK12))
        | g_false_only(sK6(sK12),X0) )
    | spl17_110 ),
    inference(resolution,[],[f1597,f65]) ).

fof(f65,plain,
    ! [X3,X0] :
      ( g_true_only(sK7(X0),sK6(X0))
      | ~ sP2(X0)
      | g_true_only(sK6(X0),X0)
      | g_false_only(X3,sK6(X0))
      | g_false_only(sK6(X0),X3)
      | sP1(sK6(X0),X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f1597,plain,
    ( ~ g_true_only(sK7(sK12),sK6(sK12))
    | spl17_110 ),
    inference(avatar_component_clause,[],[f1595]) ).

fof(f1660,plain,
    ( spl17_111
    | spl17_98
    | spl17_113 ),
    inference(avatar_split_clause,[],[f1659,f1609,f1313,f1599]) ).

fof(f1659,plain,
    ( g_true_only(sK6(sK12),sK12)
    | spl17_98
    | spl17_113 ),
    inference(subsumption_resolution,[],[f1641,f1315]) ).

fof(f1315,plain,
    ( ~ g_both(sK6(sK12),sK12)
    | spl17_98 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1641,plain,
    ( g_true_only(sK6(sK12),sK12)
    | g_both(sK6(sK12),sK12)
    | spl17_113 ),
    inference(resolution,[],[f1611,f55]) ).

fof(f1611,plain,
    ( ~ g_false_only(sK6(sK12),sK12)
    | spl17_113 ),
    inference(avatar_component_clause,[],[f1609]) ).

fof(f1645,plain,
    ( ~ spl17_12
    | ~ spl17_36
    | spl17_98
    | spl17_100
    | spl17_113 ),
    inference(avatar_contradiction_clause,[],[f1644]) ).

fof(f1644,plain,
    ( $false
    | ~ spl17_12
    | ~ spl17_36
    | spl17_98
    | spl17_100
    | spl17_113 ),
    inference(subsumption_resolution,[],[f1643,f1322]) ).

fof(f1322,plain,
    ( ~ sP0(sK6(sK12))
    | spl17_100 ),
    inference(avatar_component_clause,[],[f1321]) ).

fof(f1643,plain,
    ( sP0(sK6(sK12))
    | ~ spl17_12
    | ~ spl17_36
    | spl17_98
    | spl17_113 ),
    inference(subsumption_resolution,[],[f1642,f1315]) ).

fof(f1642,plain,
    ( g_both(sK6(sK12),sK12)
    | sP0(sK6(sK12))
    | ~ spl17_12
    | ~ spl17_36
    | spl17_113 ),
    inference(subsumption_resolution,[],[f1625,f809]) ).

fof(f1625,plain,
    ( ~ sP2(sK12)
    | g_both(sK6(sK12),sK12)
    | sP0(sK6(sK12))
    | spl17_113 ),
    inference(resolution,[],[f1611,f209]) ).

fof(f1616,plain,
    ( ~ spl17_113
    | spl17_105
    | ~ spl17_102 ),
    inference(avatar_split_clause,[],[f1615,f1538,f1574,f1609]) ).

fof(f1615,plain,
    ( ! [X8] :
        ( g_false_only(sK6(sK12),X8)
        | ~ g_both(X8,sK6(sK12))
        | ~ g_false_only(sK6(sK12),sK12) )
    | ~ spl17_102 ),
    inference(subsumption_resolution,[],[f1568,f474]) ).

fof(f474,plain,
    ! [X7,X5] :
      ( g_true_only(sK13(X5),X5)
      | g_false_only(X5,X7)
      | ~ g_both(X7,X5)
      | ~ g_false_only(X5,sK12) ),
    inference(subsumption_resolution,[],[f95,f151]) ).

fof(f95,plain,
    ! [X7,X5] :
      ( g_true_only(sK13(X5),X5)
      | g_false_only(X7,X5)
      | ~ g_false_only(X5,sK12)
      | g_false_only(X5,X7)
      | ~ g_both(X7,X5) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f1568,plain,
    ( ! [X8] :
        ( g_false_only(sK6(sK12),X8)
        | ~ g_true_only(sK13(sK6(sK12)),sK6(sK12))
        | ~ g_both(X8,sK6(sK12))
        | ~ g_false_only(sK6(sK12),sK12) )
    | ~ spl17_102 ),
    inference(resolution,[],[f1539,f513]) ).

fof(f513,plain,
    ! [X7,X5] :
      ( g_true_only(X5,sK13(X5))
      | g_false_only(X5,X7)
      | ~ g_both(X7,X5)
      | ~ g_false_only(X5,sK12) ),
    inference(subsumption_resolution,[],[f97,f151]) ).

fof(f97,plain,
    ! [X7,X5] :
      ( g_false_only(X7,X5)
      | ~ g_false_only(X5,sK12)
      | ~ g_both(X7,X5)
      | g_false_only(X5,X7)
      | g_true_only(X5,sK13(X5)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f1612,plain,
    ( ~ spl17_113
    | spl17_103
    | ~ spl17_102 ),
    inference(avatar_split_clause,[],[f1607,f1538,f1544,f1609]) ).

fof(f1607,plain,
    ( ! [X9] :
        ( ~ g_both(sK6(sK12),X9)
        | ~ g_false_only(sK6(sK12),sK12)
        | g_false_only(X9,sK6(sK12)) )
    | ~ spl17_102 ),
    inference(subsumption_resolution,[],[f1569,f435]) ).

fof(f435,plain,
    ! [X7,X5] :
      ( g_true_only(sK13(X5),X5)
      | ~ g_both(X5,X7)
      | ~ g_false_only(X5,sK12)
      | g_false_only(X7,X5) ),
    inference(subsumption_resolution,[],[f94,f151]) ).

fof(f94,plain,
    ! [X7,X5] :
      ( ~ g_both(X5,X7)
      | g_true_only(sK13(X5),X5)
      | g_false_only(X7,X5)
      | g_false_only(X5,X7)
      | ~ g_false_only(X5,sK12) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f1569,plain,
    ( ! [X9] :
        ( ~ g_both(sK6(sK12),X9)
        | ~ g_false_only(sK6(sK12),sK12)
        | ~ g_true_only(sK13(sK6(sK12)),sK6(sK12))
        | g_false_only(X9,sK6(sK12)) )
    | ~ spl17_102 ),
    inference(resolution,[],[f1539,f488]) ).

fof(f488,plain,
    ! [X7,X5] :
      ( g_true_only(X5,sK13(X5))
      | g_false_only(X7,X5)
      | ~ g_both(X5,X7)
      | ~ g_false_only(X5,sK12) ),
    inference(subsumption_resolution,[],[f96,f151]) ).

fof(f96,plain,
    ! [X7,X5] :
      ( g_true_only(X5,sK13(X5))
      | g_false_only(X7,X5)
      | g_false_only(X5,X7)
      | ~ g_false_only(X5,sK12)
      | ~ g_both(X5,X7) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f1027,plain,
    ( spl17_78
    | ~ spl17_5
    | spl17_59 ),
    inference(avatar_split_clause,[],[f1021,f801,f122,f972]) ).

fof(f122,plain,
    ( spl17_5
  <=> ! [X1,X3] :
        ( g_false_only(X3,X1)
        | g_true_only(sK5(X1),X1)
        | g_false_only(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).

fof(f1021,plain,
    ( ! [X1] :
        ( g_false_only(X1,sK16(sK12))
        | g_false_only(sK16(sK12),X1) )
    | ~ spl17_5
    | spl17_59 ),
    inference(resolution,[],[f123,f803]) ).

fof(f803,plain,
    ( ~ g_true_only(sK5(sK16(sK12)),sK16(sK12))
    | spl17_59 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f123,plain,
    ( ! [X3,X1] :
        ( g_true_only(sK5(X1),X1)
        | g_false_only(X3,X1)
        | g_false_only(X1,X3) )
    | ~ spl17_5 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f1019,plain,
    ( spl17_46
    | ~ spl17_78 ),
    inference(avatar_split_clause,[],[f1007,f972,f693]) ).

fof(f693,plain,
    ( spl17_46
  <=> ! [X0] :
        ( g_false_only(X0,sK16(sK12))
        | ~ g_both(sK16(sK12),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_46])]) ).

fof(f1007,plain,
    ( ! [X0] :
        ( g_false_only(X0,sK16(sK12))
        | ~ g_both(sK16(sK12),X0) )
    | ~ spl17_78 ),
    inference(resolution,[],[f973,f151]) ).

fof(f973,plain,
    ( ! [X3] :
        ( g_false_only(sK16(sK12),X3)
        | g_false_only(X3,sK16(sK12)) )
    | ~ spl17_78 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f962,plain,
    ( ~ spl17_12
    | ~ spl17_24
    | ~ spl17_46 ),
    inference(avatar_contradiction_clause,[],[f961]) ).

fof(f961,plain,
    ( $false
    | ~ spl17_12
    | ~ spl17_24
    | ~ spl17_46 ),
    inference(subsumption_resolution,[],[f960,f181]) ).

fof(f960,plain,
    ( ~ g_both(sK12,sK12)
    | ~ spl17_24
    | ~ spl17_46 ),
    inference(subsumption_resolution,[],[f952,f335]) ).

fof(f335,plain,
    ( g_both(sK16(sK12),sK12)
    | ~ spl17_24 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f333,plain,
    ( spl17_24
  <=> g_both(sK16(sK12),sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).

fof(f952,plain,
    ( ~ g_both(sK16(sK12),sK12)
    | ~ g_both(sK12,sK12)
    | ~ spl17_46 ),
    inference(resolution,[],[f694,f85]) ).

fof(f694,plain,
    ( ! [X0] :
        ( g_false_only(X0,sK16(sK12))
        | ~ g_both(sK16(sK12),X0) )
    | ~ spl17_46 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f720,plain,
    ( ~ spl17_15
    | spl17_35
    | spl17_35 ),
    inference(avatar_split_clause,[],[f496,f596,f596,f194]) ).

fof(f194,plain,
    ( spl17_15
  <=> g_false_only(sK12,sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).

fof(f596,plain,
    ( spl17_35
  <=> ! [X3] :
        ( g_false_only(X3,sK12)
        | ~ g_both(sK12,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_35])]) ).

fof(f496,plain,
    ! [X2,X3] :
      ( g_false_only(X3,sK12)
      | ~ g_both(sK12,X3)
      | g_false_only(X2,sK12)
      | ~ g_false_only(sK12,sK12)
      | ~ g_both(sK12,X2) ),
    inference(duplicate_literal_removal,[],[f494]) ).

fof(f494,plain,
    ! [X2,X3] :
      ( g_false_only(X3,sK12)
      | ~ g_both(sK12,X3)
      | g_false_only(X2,sK12)
      | ~ g_false_only(sK12,sK12)
      | ~ g_false_only(sK12,sK12)
      | ~ g_both(sK12,X2) ),
    inference(resolution,[],[f492,f435]) ).

fof(f492,plain,
    ! [X0,X1] :
      ( ~ g_true_only(sK13(X1),sK12)
      | ~ g_false_only(X1,sK12)
      | g_false_only(X0,X1)
      | ~ g_both(X1,X0) ),
    inference(subsumption_resolution,[],[f489,f435]) ).

fof(f489,plain,
    ! [X0,X1] :
      ( ~ g_false_only(X1,sK12)
      | g_false_only(X0,X1)
      | ~ g_true_only(sK13(X1),X1)
      | ~ g_both(X1,X0)
      | ~ g_true_only(sK13(X1),sK12) ),
    inference(resolution,[],[f488,f91]) ).

fof(f719,plain,
    ( ~ spl17_12
    | ~ spl17_24
    | ~ spl17_38 ),
    inference(avatar_split_clause,[],[f718,f632,f333,f180]) ).

fof(f718,plain,
    ( ~ g_both(sK12,sK12)
    | ~ spl17_24
    | ~ spl17_38 ),
    inference(subsumption_resolution,[],[f702,f335]) ).

fof(f702,plain,
    ( ~ g_both(sK16(sK12),sK12)
    | ~ g_both(sK12,sK12)
    | ~ spl17_38 ),
    inference(resolution,[],[f633,f85]) ).

fof(f633,plain,
    ( ! [X4] :
        ( g_false_only(sK12,X4)
        | ~ g_both(X4,sK12) )
    | ~ spl17_38 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f707,plain,
    ( ~ spl17_15
    | ~ spl17_38
    | spl17_42 ),
    inference(avatar_contradiction_clause,[],[f706]) ).

fof(f706,plain,
    ( $false
    | ~ spl17_15
    | ~ spl17_38
    | spl17_42 ),
    inference(subsumption_resolution,[],[f705,f690]) ).

fof(f690,plain,
    ( ~ g_true_only(sK14(sK12),sK12)
    | ~ spl17_15
    | spl17_42 ),
    inference(duplicate_literal_removal,[],[f689]) ).

fof(f689,plain,
    ( ~ g_true_only(sK14(sK12),sK12)
    | ~ g_true_only(sK14(sK12),sK12)
    | ~ spl17_15
    | spl17_42 ),
    inference(resolution,[],[f687,f91]) ).

fof(f687,plain,
    ( g_true_only(sK12,sK14(sK12))
    | ~ spl17_15
    | spl17_42 ),
    inference(subsumption_resolution,[],[f686,f195]) ).

fof(f195,plain,
    ( g_false_only(sK12,sK12)
    | ~ spl17_15 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f686,plain,
    ( ~ g_false_only(sK12,sK12)
    | g_true_only(sK12,sK14(sK12))
    | spl17_42 ),
    inference(resolution,[],[f662,f158]) ).

fof(f662,plain,
    ( ~ g_both(sK12,sK14(sK12))
    | spl17_42 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f660,plain,
    ( spl17_42
  <=> g_both(sK12,sK14(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_42])]) ).

fof(f705,plain,
    ( g_true_only(sK14(sK12),sK12)
    | ~ spl17_15
    | ~ spl17_38 ),
    inference(subsumption_resolution,[],[f704,f195]) ).

fof(f704,plain,
    ( ~ g_false_only(sK12,sK12)
    | g_true_only(sK14(sK12),sK12)
    | ~ spl17_15
    | ~ spl17_38 ),
    inference(resolution,[],[f703,f160]) ).

fof(f703,plain,
    ( ~ g_both(sK14(sK12),sK12)
    | ~ spl17_15
    | ~ spl17_38 ),
    inference(subsumption_resolution,[],[f701,f195]) ).

fof(f701,plain,
    ( ~ g_false_only(sK12,sK12)
    | ~ g_both(sK14(sK12),sK12)
    | ~ spl17_38 ),
    inference(resolution,[],[f633,f92]) ).

fof(f664,plain,
    ( spl17_38
    | spl17_38
    | ~ spl17_15 ),
    inference(avatar_split_clause,[],[f521,f194,f632,f632]) ).

fof(f521,plain,
    ! [X0,X1] :
      ( ~ g_false_only(sK12,sK12)
      | g_false_only(sK12,X0)
      | ~ g_both(X1,sK12)
      | ~ g_both(X0,sK12)
      | g_false_only(sK12,X1) ),
    inference(duplicate_literal_removal,[],[f518]) ).

fof(f518,plain,
    ! [X0,X1] :
      ( ~ g_both(X1,sK12)
      | ~ g_false_only(sK12,sK12)
      | ~ g_false_only(sK12,sK12)
      | g_false_only(sK12,X1)
      | ~ g_both(X0,sK12)
      | g_false_only(sK12,X0) ),
    inference(resolution,[],[f517,f474]) ).

fof(f517,plain,
    ! [X0,X1] :
      ( ~ g_true_only(sK13(X0),sK12)
      | g_false_only(X0,X1)
      | ~ g_false_only(X0,sK12)
      | ~ g_both(X1,X0) ),
    inference(subsumption_resolution,[],[f514,f474]) ).

fof(f514,plain,
    ! [X0,X1] :
      ( ~ g_both(X1,X0)
      | ~ g_true_only(sK13(X0),sK12)
      | ~ g_false_only(X0,sK12)
      | g_false_only(X0,X1)
      | ~ g_true_only(sK13(X0),X0) ),
    inference(resolution,[],[f513,f91]) ).

fof(f663,plain,
    ( ~ spl17_15
    | ~ spl17_42
    | ~ spl17_35 ),
    inference(avatar_split_clause,[],[f654,f596,f660,f194]) ).

fof(f654,plain,
    ( ~ g_both(sK12,sK14(sK12))
    | ~ g_false_only(sK12,sK12)
    | ~ spl17_35 ),
    inference(resolution,[],[f597,f93]) ).

fof(f597,plain,
    ( ! [X3] :
        ( g_false_only(X3,sK12)
        | ~ g_both(sK12,X3) )
    | ~ spl17_35 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f374,plain,
    ( ~ spl17_12
    | ~ spl17_13
    | ~ spl17_23
    | spl17_25 ),
    inference(avatar_contradiction_clause,[],[f373]) ).

fof(f373,plain,
    ( $false
    | ~ spl17_12
    | ~ spl17_13
    | ~ spl17_23
    | spl17_25 ),
    inference(subsumption_resolution,[],[f372,f369]) ).

fof(f369,plain,
    ( ~ g_true_only(sK12,sK16(sK12))
    | ~ spl17_13
    | ~ spl17_23 ),
    inference(resolution,[],[f331,f185]) ).

fof(f331,plain,
    ( g_true_only(sK16(sK12),sK12)
    | ~ spl17_23 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f329,plain,
    ( spl17_23
  <=> g_true_only(sK16(sK12),sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).

fof(f372,plain,
    ( g_true_only(sK12,sK16(sK12))
    | ~ spl17_12
    | spl17_25 ),
    inference(subsumption_resolution,[],[f371,f181]) ).

fof(f371,plain,
    ( g_true_only(sK12,sK16(sK12))
    | ~ g_both(sK12,sK12)
    | spl17_25 ),
    inference(resolution,[],[f340,f157]) ).

fof(f157,plain,
    ! [X4] :
      ( g_both(X4,sK16(X4))
      | ~ g_both(X4,sK12)
      | g_true_only(X4,sK16(X4)) ),
    inference(resolution,[],[f55,f85]) ).

fof(f340,plain,
    ( ~ g_both(sK12,sK16(sK12))
    | spl17_25 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f338,plain,
    ( spl17_25
  <=> g_both(sK12,sK16(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_25])]) ).

fof(f354,plain,
    ( ~ spl17_25
    | ~ spl17_23
    | spl17_20 ),
    inference(avatar_split_clause,[],[f351,f314,f329,f338]) ).

fof(f314,plain,
    ( spl17_20
  <=> g_false_only(sK16(sK12),sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).

fof(f351,plain,
    ( ~ g_true_only(sK16(sK12),sK12)
    | ~ g_both(sK12,sK16(sK12))
    | spl17_20 ),
    inference(resolution,[],[f316,f253]) ).

fof(f316,plain,
    ( ~ g_false_only(sK16(sK12),sK12)
    | spl17_20 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f353,plain,
    ( spl17_24
    | spl17_23
    | spl17_20 ),
    inference(avatar_split_clause,[],[f352,f314,f329,f333]) ).

fof(f352,plain,
    ( g_true_only(sK16(sK12),sK12)
    | g_both(sK16(sK12),sK12)
    | spl17_20 ),
    inference(resolution,[],[f316,f55]) ).

fof(f346,plain,
    ( ~ spl17_12
    | ~ spl17_20 ),
    inference(avatar_contradiction_clause,[],[f345]) ).

fof(f345,plain,
    ( $false
    | ~ spl17_12
    | ~ spl17_20 ),
    inference(subsumption_resolution,[],[f342,f181]) ).

fof(f342,plain,
    ( ~ g_both(sK12,sK12)
    | ~ spl17_20 ),
    inference(resolution,[],[f315,f84]) ).

fof(f315,plain,
    ( g_false_only(sK16(sK12),sK12)
    | ~ spl17_20 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f203,plain,
    ( spl17_12
    | spl17_15 ),
    inference(avatar_split_clause,[],[f202,f194,f180]) ).

fof(f202,plain,
    ( g_both(sK12,sK12)
    | spl17_15 ),
    inference(subsumption_resolution,[],[f198,f91]) ).

fof(f198,plain,
    ( g_both(sK12,sK12)
    | g_true_only(sK12,sK12)
    | spl17_15 ),
    inference(resolution,[],[f196,f55]) ).

fof(f196,plain,
    ( ~ g_false_only(sK12,sK12)
    | spl17_15 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f186,plain,
    ( ~ spl17_12
    | spl17_13 ),
    inference(avatar_split_clause,[],[f178,f184,f180]) ).

fof(f178,plain,
    ! [X1] :
      ( ~ g_true_only(sK16(sK12),X1)
      | ~ g_both(sK12,sK12)
      | ~ g_true_only(X1,sK16(sK12)) ),
    inference(subsumption_resolution,[],[f177,f91]) ).

fof(f177,plain,
    ! [X1] :
      ( ~ g_both(sK12,sK12)
      | ~ g_true_only(sK16(sK12),X1)
      | ~ g_true_only(X1,sK16(sK12))
      | g_true_only(sK16(sK12),sK12) ),
    inference(resolution,[],[f159,f86]) ).

fof(f159,plain,
    ! [X6] :
      ( g_both(sK16(X6),X6)
      | ~ g_both(X6,sK12)
      | g_true_only(sK16(X6),X6) ),
    inference(resolution,[],[f55,f84]) ).

fof(f148,plain,
    ( spl17_2
    | spl17_11 ),
    inference(avatar_split_clause,[],[f98,f146,f109]) ).

fof(f109,plain,
    ( spl17_2
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).

fof(f98,plain,
    ! [X3,X0,X1] :
      ( g_false_only(X3,X1)
      | sP3
      | ~ g_both(X1,X0)
      | g_false_only(X1,X3)
      | sP2(X0)
      | ~ g_both(X3,X1)
      | g_true_only(sK11(X1),X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f136,plain,
    ( ~ spl17_2
    | spl17_8 ),
    inference(avatar_split_clause,[],[f60,f134,f109]) ).

fof(f60,plain,
    ! [X3,X1] :
      ( g_true_only(X1,sK5(X1))
      | g_false_only(X1,X3)
      | g_false_only(X3,X1)
      | ~ sP3 ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ( ! [X1] :
        ( ( g_false_only(X1,sK4)
          & g_true_only(sK5(X1),X1)
          & g_true_only(X1,sK5(X1)) )
        | ( ! [X3] :
              ( g_false_only(X3,X1)
              | g_false_only(X1,X3) )
          & g_true_only(X1,sK4) ) )
    | ~ sP3 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f24,f26,f25]) ).

fof(f25,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( g_false_only(X1,X0)
          & ? [X2] :
              ( g_true_only(X2,X1)
              & g_true_only(X1,X2) ) )
        | ( ! [X3] :
              ( g_false_only(X3,X1)
              | g_false_only(X1,X3) )
          & g_true_only(X1,X0) ) )
   => ! [X1] :
        ( ( g_false_only(X1,sK4)
          & ? [X2] :
              ( g_true_only(X2,X1)
              & g_true_only(X1,X2) ) )
        | ( ! [X3] :
              ( g_false_only(X3,X1)
              | g_false_only(X1,X3) )
          & g_true_only(X1,sK4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ! [X1] :
      ( ? [X2] :
          ( g_true_only(X2,X1)
          & g_true_only(X1,X2) )
     => ( g_true_only(sK5(X1),X1)
        & g_true_only(X1,sK5(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( g_false_only(X1,X0)
          & ? [X2] :
              ( g_true_only(X2,X1)
              & g_true_only(X1,X2) ) )
        | ( ! [X3] :
              ( g_false_only(X3,X1)
              | g_false_only(X1,X3) )
          & g_true_only(X1,X0) ) )
    | ~ sP3 ),
    inference(rectify,[],[f23]) ).

fof(f23,plain,
    ( ? [X10] :
      ! [X11] :
        ( ( g_false_only(X11,X10)
          & ? [X12] :
              ( g_true_only(X12,X11)
              & g_true_only(X11,X12) ) )
        | ( ! [X13] :
              ( g_false_only(X13,X11)
              | g_false_only(X11,X13) )
          & g_true_only(X11,X10) ) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f132,plain,
    ( spl17_2
    | spl17_7 ),
    inference(avatar_split_clause,[],[f100,f130,f109]) ).

fof(f100,plain,
    ! [X3,X0,X1] :
      ( g_false_only(X1,X3)
      | g_true_only(X1,sK11(X1))
      | ~ g_both(X3,X1)
      | g_false_only(X3,X1)
      | sP3
      | ~ g_both(X1,X0)
      | sP2(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f124,plain,
    ( ~ spl17_2
    | spl17_5 ),
    inference(avatar_split_clause,[],[f62,f122,f109]) ).

fof(f62,plain,
    ! [X3,X1] :
      ( g_false_only(X3,X1)
      | g_false_only(X1,X3)
      | ~ sP3
      | g_true_only(sK5(X1),X1) ),
    inference(cnf_transformation,[],[f27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO604+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n022.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 23:08:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.48  % (6942)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.48  % (6942)Refutation not found, incomplete strategy% (6942)------------------------------
% 0.18/0.48  % (6942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (6956)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.49  % (6942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (6942)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49  
% 0.18/0.49  % (6942)Memory used [KB]: 6012
% 0.18/0.49  % (6942)Time elapsed: 0.099 s
% 0.18/0.49  % (6942)Instructions burned: 5 (million)
% 0.18/0.49  % (6942)------------------------------
% 0.18/0.49  % (6942)------------------------------
% 0.18/0.49  % (6948)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49  % (6945)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49  % (6948)Instruction limit reached!
% 0.18/0.49  % (6948)------------------------------
% 0.18/0.49  % (6948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (6948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (6948)Termination reason: Unknown
% 0.18/0.49  % (6948)Termination phase: Finite model building preprocessing
% 0.18/0.49  
% 0.18/0.49  % (6948)Memory used [KB]: 1535
% 0.18/0.49  % (6948)Time elapsed: 0.006 s
% 0.18/0.49  % (6948)Instructions burned: 4 (million)
% 0.18/0.49  % (6948)------------------------------
% 0.18/0.49  % (6948)------------------------------
% 0.18/0.50  % (6953)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.51  % (6945)Instruction limit reached!
% 0.18/0.51  % (6945)------------------------------
% 0.18/0.51  % (6945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (6945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (6945)Termination reason: Unknown
% 0.18/0.51  % (6945)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (6945)Memory used [KB]: 6012
% 0.18/0.51  % (6945)Time elapsed: 0.003 s
% 0.18/0.51  % (6945)Instructions burned: 3 (million)
% 0.18/0.51  % (6945)------------------------------
% 0.18/0.51  % (6945)------------------------------
% 0.18/0.51  % (6932)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.51  % (6937)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.52  % (6935)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.52  % (6936)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52  % (6954)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.52  % (6933)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52  % (6943)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.52  % (6941)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.53  % (6950)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.53  % (6931)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.53  % (6944)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (6940)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.53  % (6940)Refutation not found, incomplete strategy% (6940)------------------------------
% 0.18/0.53  % (6940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (6940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (6940)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (6940)Memory used [KB]: 6012
% 0.18/0.53  % (6940)Time elapsed: 0.133 s
% 0.18/0.53  % (6940)Instructions burned: 3 (million)
% 0.18/0.53  % (6940)------------------------------
% 0.18/0.53  % (6940)------------------------------
% 0.18/0.53  % (6939)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.53  % (6944)Refutation not found, incomplete strategy% (6944)------------------------------
% 0.18/0.53  % (6944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (6959)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.53  % (6957)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53  % (6960)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.54  % (6946)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54  % (6933)Instruction limit reached!
% 0.18/0.54  % (6933)------------------------------
% 0.18/0.54  % (6933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (6933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (6933)Termination reason: Unknown
% 0.18/0.54  % (6933)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (6933)Memory used [KB]: 6012
% 0.18/0.54  % (6933)Time elapsed: 0.003 s
% 0.18/0.54  % (6933)Instructions burned: 4 (million)
% 0.18/0.54  % (6933)------------------------------
% 0.18/0.54  % (6933)------------------------------
% 0.18/0.54  % (6951)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.54  % (6934)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.54  % (6949)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.54  % (6952)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54  % (6949)Instruction limit reached!
% 0.18/0.54  % (6949)------------------------------
% 0.18/0.54  % (6949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (6949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (6949)Termination reason: Unknown
% 0.18/0.54  % (6949)Termination phase: Property scanning
% 0.18/0.54  
% 0.18/0.54  % (6949)Memory used [KB]: 1535
% 0.18/0.54  % (6949)Time elapsed: 0.002 s
% 0.18/0.54  % (6949)Instructions burned: 3 (million)
% 0.18/0.54  % (6949)------------------------------
% 0.18/0.54  % (6949)------------------------------
% 0.18/0.54  % (6934)Refutation not found, incomplete strategy% (6934)------------------------------
% 0.18/0.54  % (6934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (6934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (6934)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (6934)Memory used [KB]: 6012
% 0.18/0.54  % (6934)Time elapsed: 0.144 s
% 0.18/0.54  % (6934)Instructions burned: 3 (million)
% 0.18/0.54  % (6934)------------------------------
% 0.18/0.54  % (6934)------------------------------
% 0.18/0.54  % (6938)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.54  % (6932)Instruction limit reached!
% 0.18/0.54  % (6932)------------------------------
% 0.18/0.54  % (6932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (6932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (6932)Termination reason: Unknown
% 0.18/0.54  % (6932)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (6932)Memory used [KB]: 6140
% 0.18/0.54  % (6932)Time elapsed: 0.154 s
% 0.18/0.54  % (6932)Instructions burned: 13 (million)
% 0.18/0.54  % (6932)------------------------------
% 0.18/0.54  % (6932)------------------------------
% 0.18/0.54  % (6935)Instruction limit reached!
% 0.18/0.54  % (6935)------------------------------
% 0.18/0.54  % (6935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (6935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (6935)Termination reason: Unknown
% 0.18/0.54  % (6935)Termination phase: Property scanning
% 0.18/0.54  
% 0.18/0.54  % (6935)Memory used [KB]: 2302
% 0.18/0.54  % (6935)Time elapsed: 0.006 s
% 0.18/0.54  % (6935)Instructions burned: 15 (million)
% 0.18/0.54  % (6935)------------------------------
% 0.18/0.54  % (6935)------------------------------
% 0.18/0.54  % (6943)Instruction limit reached!
% 0.18/0.54  % (6943)------------------------------
% 0.18/0.54  % (6943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (6943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (6943)Termination reason: Unknown
% 0.18/0.54  % (6943)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (6943)Memory used [KB]: 1663
% 0.18/0.54  % (6943)Time elapsed: 0.142 s
% 0.18/0.54  % (6943)Instructions burned: 18 (million)
% 0.18/0.54  % (6943)------------------------------
% 0.18/0.54  % (6943)------------------------------
% 0.18/0.55  % (6950)Instruction limit reached!
% 0.18/0.55  % (6950)------------------------------
% 0.18/0.55  % (6950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (6950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (6950)Termination reason: Unknown
% 0.18/0.55  % (6950)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (6950)Memory used [KB]: 6268
% 0.18/0.55  % (6950)Time elapsed: 0.160 s
% 0.18/0.55  % (6950)Instructions burned: 11 (million)
% 0.18/0.55  % (6950)------------------------------
% 0.18/0.55  % (6950)------------------------------
% 0.18/0.55  % (6958)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.55  % (6936)Instruction limit reached!
% 0.18/0.55  % (6936)------------------------------
% 0.18/0.55  % (6936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (6936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (6936)Termination reason: Unknown
% 0.18/0.55  % (6936)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (6936)Memory used [KB]: 1663
% 0.18/0.55  % (6936)Time elapsed: 0.159 s
% 0.18/0.55  % (6936)Instructions burned: 15 (million)
% 0.18/0.55  % (6936)------------------------------
% 0.18/0.55  % (6936)------------------------------
% 0.18/0.55  % (6944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (6944)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.55  
% 0.18/0.55  % (6944)Memory used [KB]: 6140
% 0.18/0.55  % (6944)Time elapsed: 0.133 s
% 0.18/0.55  % (6944)Instructions burned: 6 (million)
% 0.18/0.55  % (6944)------------------------------
% 0.18/0.55  % (6944)------------------------------
% 0.18/0.55  % (6941)Instruction limit reached!
% 0.18/0.55  % (6941)------------------------------
% 0.18/0.55  % (6941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (6941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (6941)Termination reason: Unknown
% 0.18/0.55  % (6941)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (6941)Memory used [KB]: 6268
% 0.18/0.55  % (6941)Time elapsed: 0.137 s
% 0.18/0.55  % (6941)Instructions burned: 12 (million)
% 0.18/0.55  % (6941)------------------------------
% 0.18/0.55  % (6941)------------------------------
% 0.18/0.55  % (6955)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.55  % (6959)Instruction limit reached!
% 0.18/0.55  % (6959)------------------------------
% 0.18/0.55  % (6959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (6959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (6959)Termination reason: Unknown
% 0.18/0.55  % (6959)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (6959)Memory used [KB]: 6140
% 0.18/0.55  % (6959)Time elapsed: 0.161 s
% 0.18/0.55  % (6959)Instructions burned: 9 (million)
% 0.18/0.55  % (6959)------------------------------
% 0.18/0.55  % (6959)------------------------------
% 0.18/0.55  % (6947)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.56  % (6960)Instruction limit reached!
% 0.18/0.56  % (6960)------------------------------
% 0.18/0.56  % (6960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (6960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (6960)Termination reason: Unknown
% 0.18/0.56  % (6960)Termination phase: Property scanning
% 0.18/0.56  
% 0.18/0.56  % (6960)Memory used [KB]: 2302
% 0.18/0.56  % (6960)Time elapsed: 0.010 s
% 0.18/0.56  % (6960)Instructions burned: 24 (million)
% 0.18/0.56  % (6960)------------------------------
% 0.18/0.56  % (6960)------------------------------
% 0.18/0.56  % (6946)Instruction limit reached!
% 0.18/0.56  % (6946)------------------------------
% 0.18/0.56  % (6946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (6946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (6946)Termination reason: Unknown
% 0.18/0.56  % (6946)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (6946)Memory used [KB]: 6140
% 0.18/0.56  % (6946)Time elapsed: 0.168 s
% 0.18/0.56  % (6946)Instructions burned: 8 (million)
% 0.18/0.56  % (6946)------------------------------
% 0.18/0.56  % (6946)------------------------------
% 0.18/0.56  % (6937)Instruction limit reached!
% 0.18/0.56  % (6937)------------------------------
% 0.18/0.56  % (6937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (6937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (6937)Termination reason: Unknown
% 0.18/0.56  % (6937)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (6937)Memory used [KB]: 6524
% 0.18/0.56  % (6937)Time elapsed: 0.130 s
% 0.18/0.56  % (6937)Instructions burned: 40 (million)
% 0.18/0.56  % (6937)------------------------------
% 0.18/0.56  % (6937)------------------------------
% 1.82/0.57  % (6953)Instruction limit reached!
% 1.82/0.57  % (6953)------------------------------
% 1.82/0.57  % (6953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59  % (6951)Instruction limit reached!
% 1.82/0.59  % (6951)------------------------------
% 1.82/0.59  % (6951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59  % (6951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59  % (6951)Termination reason: Unknown
% 1.82/0.59  % (6951)Termination phase: Saturation
% 1.82/0.59  
% 1.82/0.59  % (6951)Memory used [KB]: 6524
% 1.82/0.59  % (6951)Time elapsed: 0.202 s
% 1.82/0.59  % (6951)Instructions burned: 31 (million)
% 1.82/0.59  % (6951)------------------------------
% 1.82/0.59  % (6951)------------------------------
% 1.82/0.59  % (6953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59  % (6953)Termination reason: Unknown
% 1.82/0.59  % (6953)Termination phase: Property scanning
% 1.82/0.59  
% 1.82/0.59  % (6953)Memory used [KB]: 2302
% 1.82/0.59  % (6953)Time elapsed: 0.027 s
% 1.82/0.59  % (6953)Instructions burned: 84 (million)
% 1.82/0.59  % (6953)------------------------------
% 1.82/0.59  % (6953)------------------------------
% 1.95/0.60  % (6958)Instruction limit reached!
% 1.95/0.60  % (6958)------------------------------
% 1.95/0.60  % (6958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.60  % (6958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.60  % (6958)Termination reason: Unknown
% 1.95/0.60  % (6958)Termination phase: Saturation
% 1.95/0.60  
% 1.95/0.60  % (6958)Memory used [KB]: 6396
% 1.95/0.60  % (6958)Time elapsed: 0.194 s
% 1.95/0.60  % (6958)Instructions burned: 26 (million)
% 1.95/0.60  % (6958)------------------------------
% 1.95/0.60  % (6958)------------------------------
% 1.95/0.61  % (6954)Instruction limit reached!
% 1.95/0.61  % (6954)------------------------------
% 1.95/0.61  % (6954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61  % (6954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61  % (6954)Termination reason: Unknown
% 1.95/0.61  % (6954)Termination phase: Saturation
% 1.95/0.61  
% 1.95/0.61  % (6954)Memory used [KB]: 1918
% 1.95/0.61  % (6954)Time elapsed: 0.219 s
% 1.95/0.61  % (6954)Instructions burned: 45 (million)
% 1.95/0.61  % (6954)------------------------------
% 1.95/0.61  % (6954)------------------------------
% 1.95/0.61  % (6938)Instruction limit reached!
% 1.95/0.61  % (6938)------------------------------
% 1.95/0.61  % (6938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61  % (6938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61  % (6938)Termination reason: Unknown
% 1.95/0.61  % (6938)Termination phase: Saturation
% 1.95/0.61  
% 1.95/0.61  % (6938)Memory used [KB]: 6524
% 1.95/0.61  % (6938)Time elapsed: 0.228 s
% 1.95/0.61  % (6938)Instructions burned: 39 (million)
% 1.95/0.61  % (6938)------------------------------
% 1.95/0.61  % (6938)------------------------------
% 1.95/0.61  % (6939)Instruction limit reached!
% 1.95/0.61  % (6939)------------------------------
% 1.95/0.61  % (6939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.62  % (6962)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.95/0.62  % (6961)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.95/0.62  % (6939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.62  % (6939)Termination reason: Unknown
% 1.95/0.62  % (6939)Termination phase: Saturation
% 1.95/0.62  
% 1.95/0.62  % (6939)Memory used [KB]: 6396
% 1.95/0.62  % (6939)Time elapsed: 0.217 s
% 1.95/0.62  % (6939)Instructions burned: 50 (million)
% 1.95/0.62  % (6939)------------------------------
% 1.95/0.62  % (6939)------------------------------
% 2.29/0.65  % (6962)Instruction limit reached!
% 2.29/0.65  % (6962)------------------------------
% 2.29/0.65  % (6962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65  % (6962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65  % (6962)Termination reason: Unknown
% 2.29/0.65  % (6962)Termination phase: Saturation
% 2.29/0.65  
% 2.29/0.65  % (6962)Memory used [KB]: 10618
% 2.29/0.65  % (6962)Time elapsed: 0.089 s
% 2.29/0.65  % (6962)Instructions burned: 7 (million)
% 2.29/0.65  % (6962)------------------------------
% 2.29/0.65  % (6962)------------------------------
% 2.29/0.65  % (6963)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.29/0.65  % (6956)Instruction limit reached!
% 2.29/0.65  % (6956)------------------------------
% 2.29/0.65  % (6956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65  % (6956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65  % (6956)Termination reason: Unknown
% 2.29/0.65  % (6956)Termination phase: Saturation
% 2.29/0.65  
% 2.29/0.65  % (6956)Memory used [KB]: 7931
% 2.29/0.65  % (6956)Time elapsed: 0.257 s
% 2.29/0.65  % (6956)Instructions burned: 95 (million)
% 2.29/0.65  % (6956)------------------------------
% 2.29/0.65  % (6956)------------------------------
% 2.29/0.65  % (6955)Instruction limit reached!
% 2.29/0.65  % (6955)------------------------------
% 2.29/0.65  % (6955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65  % (6955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65  % (6955)Termination reason: Unknown
% 2.29/0.65  % (6955)Termination phase: Saturation
% 2.29/0.65  
% 2.29/0.65  % (6955)Memory used [KB]: 6652
% 2.29/0.65  % (6955)Time elapsed: 0.244 s
% 2.29/0.65  % (6955)Instructions burned: 50 (million)
% 2.29/0.65  % (6955)------------------------------
% 2.29/0.65  % (6955)------------------------------
% 2.29/0.65  % (6947)Instruction limit reached!
% 2.29/0.65  % (6947)------------------------------
% 2.29/0.65  % (6947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65  % (6947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65  % (6947)Termination reason: Unknown
% 2.29/0.65  % (6947)Termination phase: Saturation
% 2.29/0.65  
% 2.29/0.65  % (6947)Memory used [KB]: 6908
% 2.29/0.65  % (6947)Time elapsed: 0.258 s
% 2.29/0.65  % (6947)Instructions burned: 52 (million)
% 2.29/0.65  % (6947)------------------------------
% 2.29/0.65  % (6947)------------------------------
% 2.29/0.65  % (6965)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.29/0.67  % (6968)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.29/0.67  % (6966)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.29/0.67  % (6964)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.29/0.67  % (6972)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/131Mi)
% 2.29/0.68  % (6971)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/84Mi)
% 2.29/0.68  % (6967)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.29/0.68  % (6969)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.29/0.68  % (6931)First to succeed.
% 2.29/0.68  % (6967)Refutation not found, incomplete strategy% (6967)------------------------------
% 2.29/0.68  % (6967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.68  % (6967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.68  % (6967)Termination reason: Refutation not found, incomplete strategy
% 2.29/0.68  
% 2.29/0.68  % (6967)Memory used [KB]: 6012
% 2.29/0.68  % (6967)Time elapsed: 0.087 s
% 2.29/0.68  % (6967)Instructions burned: 4 (million)
% 2.29/0.68  % (6967)------------------------------
% 2.29/0.68  % (6967)------------------------------
% 2.29/0.68  % (6931)Refutation found. Thanks to Tanya!
% 2.29/0.68  % SZS status Theorem for theBenchmark
% 2.29/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.69  % (6931)------------------------------
% 2.29/0.69  % (6931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.69  % (6931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.69  % (6931)Termination reason: Refutation
% 2.29/0.69  
% 2.29/0.69  % (6931)Memory used [KB]: 7164
% 2.29/0.69  % (6931)Time elapsed: 0.287 s
% 2.29/0.69  % (6931)Instructions burned: 84 (million)
% 2.29/0.69  % (6931)------------------------------
% 2.29/0.69  % (6931)------------------------------
% 2.29/0.69  % (6930)Success in time 0.344 s
%------------------------------------------------------------------------------