TSTP Solution File: SYO605+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO605+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 : Sun May  5 12:23:50 EDT 2024

% Result   : Theorem 0.64s 0.83s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  280 (   1 unt;   0 def)
%            Number of atoms       : 1470 (   0 equ)
%            Maximal formula atoms :   57 (   5 avg)
%            Number of connectives : 1783 ( 593   ~; 893   |; 259   &)
%                                         (  30 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   34 (  33 usr;  28 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :  421 ( 342   !;  79   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1331,plain,
    $false,
    inference(avatar_sat_refutation,[],[f118,f150,f158,f162,f186,f194,f198,f206,f443,f558,f575,f634,f637,f688,f707,f708,f993,f1072,f1073,f1075,f1095,f1156,f1237,f1263,f1279,f1293,f1303,f1308,f1323,f1329,f1330]) ).

fof(f1330,plain,
    ( ~ spl12_51
    | ~ spl12_52 ),
    inference(avatar_split_clause,[],[f1312,f990,f986]) ).

fof(f986,plain,
    ( spl12_51
  <=> g_true_only(sK7(sK11),sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_51])]) ).

fof(f990,plain,
    ( spl12_52
  <=> g_both(sK7(sK11),sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_52])]) ).

fof(f1312,plain,
    ( ~ g_true_only(sK7(sK11),sK11)
    | ~ spl12_52 ),
    inference(resolution,[],[f992,f233]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( ~ g_both(X0,X1)
      | ~ g_true_only(X0,X1) ),
    inference(resolution,[],[f229,f82]) ).

fof(f82,plain,
    ! [X3,X5] :
      ( ~ g_both(X5,sK10(X3))
      | ~ g_true_only(X5,X3) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( ( sP2
      | ! [X0] :
          ( ! [X2] :
              ( ( g_true_only(X2,X0)
                & g_false_only(X2,sK9(X0)) )
              | ( g_false_only(X2,X0)
                & g_true_only(X2,sK9(X0)) ) )
          | sP0(X0) )
      | sP3
      | sP1 )
    & ! [X3,X5] :
        ( ( ( ~ g_both(X5,X3)
            & ~ g_false_only(X5,X3) )
          | ~ g_false_only(X5,sK10(X3)) )
        & ( ( ~ g_true_only(X5,X3)
            & ~ g_false_only(X5,X3) )
          | ~ g_both(X5,sK10(X3)) )
        & ( ( ~ g_true_only(X5,X3)
            & ~ g_both(X5,X3) )
          | ~ g_true_only(X5,sK10(X3)) ) )
    & ! [X7] :
        ( ( ( ~ g_both(X7,X7)
            & ~ g_true_only(X7,X7) )
          | ~ g_false_only(X7,sK11) )
        & ( ( ~ g_false_only(X7,X7)
            & ~ g_true_only(X7,X7) )
          | ~ g_both(X7,sK11) )
        & ( ( ~ g_false_only(X7,X7)
            & ~ g_both(X7,X7) )
          | ~ g_true_only(X7,sK11) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f34,f37,f36,f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( g_true_only(X2,X0)
            & g_false_only(X2,X1) )
          | ( g_false_only(X2,X0)
            & g_true_only(X2,X1) ) )
     => ! [X2] :
          ( ( g_true_only(X2,X0)
            & g_false_only(X2,sK9(X0)) )
          | ( g_false_only(X2,X0)
            & g_true_only(X2,sK9(X0)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ! [X3] :
      ( ? [X4] :
        ! [X5] :
          ( ( ( ~ g_both(X5,X3)
              & ~ g_false_only(X5,X3) )
            | ~ g_false_only(X5,X4) )
          & ( ( ~ g_true_only(X5,X3)
              & ~ g_false_only(X5,X3) )
            | ~ g_both(X5,X4) )
          & ( ( ~ g_true_only(X5,X3)
              & ~ g_both(X5,X3) )
            | ~ g_true_only(X5,X4) ) )
     => ! [X5] :
          ( ( ( ~ g_both(X5,X3)
              & ~ g_false_only(X5,X3) )
            | ~ g_false_only(X5,sK10(X3)) )
          & ( ( ~ g_true_only(X5,X3)
              & ~ g_false_only(X5,X3) )
            | ~ g_both(X5,sK10(X3)) )
          & ( ( ~ g_true_only(X5,X3)
              & ~ g_both(X5,X3) )
            | ~ g_true_only(X5,sK10(X3)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ( ? [X6] :
      ! [X7] :
        ( ( ( ~ g_both(X7,X7)
            & ~ g_true_only(X7,X7) )
          | ~ g_false_only(X7,X6) )
        & ( ( ~ g_false_only(X7,X7)
            & ~ g_true_only(X7,X7) )
          | ~ g_both(X7,X6) )
        & ( ( ~ g_false_only(X7,X7)
            & ~ g_both(X7,X7) )
          | ~ g_true_only(X7,X6) ) )
   => ! [X7] :
        ( ( ( ~ g_both(X7,X7)
            & ~ g_true_only(X7,X7) )
          | ~ g_false_only(X7,sK11) )
        & ( ( ~ g_false_only(X7,X7)
            & ~ g_true_only(X7,X7) )
          | ~ g_both(X7,sK11) )
        & ( ( ~ g_false_only(X7,X7)
            & ~ g_both(X7,X7) )
          | ~ g_true_only(X7,sK11) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ( ( sP2
      | ! [X0] :
          ( ? [X1] :
            ! [X2] :
              ( ( g_true_only(X2,X0)
                & g_false_only(X2,X1) )
              | ( g_false_only(X2,X0)
                & g_true_only(X2,X1) ) )
          | sP0(X0) )
      | sP3
      | sP1 )
    & ! [X3] :
      ? [X4] :
      ! [X5] :
        ( ( ( ~ g_both(X5,X3)
            & ~ g_false_only(X5,X3) )
          | ~ g_false_only(X5,X4) )
        & ( ( ~ g_true_only(X5,X3)
            & ~ g_false_only(X5,X3) )
          | ~ g_both(X5,X4) )
        & ( ( ~ g_true_only(X5,X3)
            & ~ g_both(X5,X3) )
          | ~ g_true_only(X5,X4) ) )
    & ? [X6] :
      ! [X7] :
        ( ( ( ~ g_both(X7,X7)
            & ~ g_true_only(X7,X7) )
          | ~ g_false_only(X7,X6) )
        & ( ( ~ g_false_only(X7,X7)
            & ~ g_true_only(X7,X7) )
          | ~ g_both(X7,X6) )
        & ( ( ~ g_false_only(X7,X7)
            & ~ g_both(X7,X7) )
          | ~ g_true_only(X7,X6) ) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,plain,
    ( ( sP2
      | ! [X3] :
          ( ? [X4] :
            ! [X5] :
              ( ( g_true_only(X5,X3)
                & g_false_only(X5,X4) )
              | ( g_false_only(X5,X3)
                & g_true_only(X5,X4) ) )
          | sP0(X3) )
      | sP3
      | sP1 )
    & ! [X14] :
      ? [X15] :
      ! [X16] :
        ( ( ( ~ g_both(X16,X14)
            & ~ g_false_only(X16,X14) )
          | ~ g_false_only(X16,X15) )
        & ( ( ~ g_true_only(X16,X14)
            & ~ g_false_only(X16,X14) )
          | ~ g_both(X16,X15) )
        & ( ( ~ g_true_only(X16,X14)
            & ~ g_both(X16,X14) )
          | ~ g_true_only(X16,X15) ) )
    & ? [X17] :
      ! [X18] :
        ( ( ( ~ g_both(X18,X18)
            & ~ g_true_only(X18,X18) )
          | ~ g_false_only(X18,X17) )
        & ( ( ~ g_false_only(X18,X18)
            & ~ g_true_only(X18,X18) )
          | ~ g_both(X18,X17) )
        & ( ( ~ g_false_only(X18,X18)
            & ~ g_both(X18,X18) )
          | ~ g_true_only(X18,X17) ) ) ),
    inference(definition_folding,[],[f12,f16,f15,f14,f13]) ).

fof(f13,plain,
    ! [X3] :
      ( ! [X6] :
          ( ? [X7] :
              ( ( ( g_both(X7,X3)
                  | g_false_only(X7,X3) )
                & g_false_only(X7,X6) )
              | ( ( g_true_only(X7,X3)
                  | g_false_only(X7,X3) )
                & g_both(X7,X6) )
              | ( ( g_true_only(X7,X3)
                  | g_both(X7,X3) )
                & g_true_only(X7,X6) ) )
          | ! [X8] :
              ( ~ g_both(X8,X3)
              | ~ g_both(X8,X6) ) )
      | ~ sP0(X3) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f14,plain,
    ( ! [X11] :
        ( ? [X12] :
            ( ( ( g_both(X12,X12)
                | g_true_only(X12,X12) )
              & g_false_only(X12,X11) )
            | ( ( g_false_only(X12,X12)
                | g_true_only(X12,X12) )
              & g_both(X12,X11) )
            | ( ( g_false_only(X12,X12)
                | g_both(X12,X12) )
              & g_true_only(X12,X11) ) )
        | ! [X13] :
            ( ~ g_both(X13,X13)
            | ~ g_both(X13,X11) ) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f15,plain,
    ( ? [X0] :
      ! [X1] :
      ? [X2] :
        ( ( ( g_both(X2,X0)
            | g_false_only(X2,X0) )
          & g_false_only(X2,X1) )
        | ( ( g_true_only(X2,X0)
            | g_false_only(X2,X0) )
          & g_both(X2,X1) )
        | ( ( g_true_only(X2,X0)
            | g_both(X2,X0) )
          & g_true_only(X2,X1) ) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f16,plain,
    ( ? [X9] :
      ! [X10] :
        ( ( g_false_only(X10,X10)
          & g_false_only(X10,X9) )
        | ( g_true_only(X10,X10)
          & g_true_only(X10,X9) ) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

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

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

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

fof(f1,conjecture,
    ( ( ~ ? [X1] :
          ! [X0] :
          ? [X2] :
            ( ( ( g_both(X2,X1)
                | g_false_only(X2,X1) )
              & g_false_only(X2,X0) )
            | ( ( g_true_only(X2,X1)
                | g_false_only(X2,X1) )
              & g_both(X2,X0) )
            | ( ( g_true_only(X2,X1)
                | g_both(X2,X1) )
              & g_true_only(X2,X0) ) )
      & ? [X1] :
          ( ~ ? [X0] :
              ! [X2] :
                ( ( g_true_only(X2,X1)
                  & g_false_only(X2,X0) )
                | ( g_false_only(X2,X1)
                  & g_true_only(X2,X0) ) )
          & ? [X0] :
              ( ~ ? [X2] :
                    ( ( ( g_both(X2,X1)
                        | g_false_only(X2,X1) )
                      & g_false_only(X2,X0) )
                    | ( ( g_true_only(X2,X1)
                        | g_false_only(X2,X1) )
                      & g_both(X2,X0) )
                    | ( ( g_true_only(X2,X1)
                        | g_both(X2,X1) )
                      & g_true_only(X2,X0) ) )
              & ? [X2] :
                  ( g_both(X2,X1)
                  & g_both(X2,X0) ) ) )
      & ~ ? [X0] :
          ! [X1] :
            ( ( g_false_only(X1,X1)
              & g_false_only(X1,X0) )
            | ( g_true_only(X1,X1)
              & g_true_only(X1,X0) ) )
      & ? [X0] :
          ( ~ ? [X1] :
                ( ( ( g_both(X1,X1)
                    | g_true_only(X1,X1) )
                  & g_false_only(X1,X0) )
                | ( ( g_false_only(X1,X1)
                    | g_true_only(X1,X1) )
                  & g_both(X1,X0) )
                | ( ( g_false_only(X1,X1)
                    | g_both(X1,X1) )
                  & g_true_only(X1,X0) ) )
          & ? [X1] :
              ( g_both(X1,X1)
              & g_both(X1,X0) ) ) )
    | ? [X1] :
      ! [X0] :
      ? [X2] :
        ( ( ( g_both(X2,X1)
            | g_false_only(X2,X1) )
          & g_false_only(X2,X0) )
        | ( ( g_true_only(X2,X1)
            | g_false_only(X2,X1) )
          & g_both(X2,X0) )
        | ( ( g_true_only(X2,X1)
            | g_both(X2,X1) )
          & g_true_only(X2,X0) ) )
    | ! [X0] :
      ? [X1] :
        ( ( ( g_both(X1,X1)
            | g_true_only(X1,X1) )
          & g_false_only(X1,X0) )
        | ( ( g_false_only(X1,X1)
            | g_true_only(X1,X1) )
          & g_both(X1,X0) )
        | ( ( g_false_only(X1,X1)
            | g_both(X1,X1) )
          & g_true_only(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.mSmUiaw6BY/Vampire---4.8_1449',nc4) ).

fof(f229,plain,
    ! [X0,X1] :
      ( g_both(X0,sK10(X1))
      | ~ g_both(X0,X1) ),
    inference(subsumption_resolution,[],[f222,f79]) ).

fof(f79,plain,
    ! [X3,X5] :
      ( ~ g_true_only(X5,sK10(X3))
      | ~ g_both(X5,X3) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( g_both(X0,sK10(X1))
      | g_true_only(X0,sK10(X1))
      | ~ g_both(X0,X1) ),
    inference(resolution,[],[f89,f84]) ).

fof(f84,plain,
    ! [X3,X5] :
      ( ~ g_false_only(X5,sK10(X3))
      | ~ g_both(X5,X3) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( g_false_only(X0,X1)
      | g_both(X0,X1)
      | g_true_only(X0,X1) ),
    inference(cnf_transformation,[],[f8]) ).

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

fof(f6,axiom,
    ! [X3,X4] :
      ( g_false_only(X3,X4)
      | g_both(X3,X4)
      | g_true_only(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.mSmUiaw6BY/Vampire---4.8_1449',exhaustion_g) ).

fof(f992,plain,
    ( g_both(sK7(sK11),sK11)
    | ~ spl12_52 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f1329,plain,
    ( spl12_50
    | spl12_51
    | ~ spl12_21
    | ~ spl12_52
    | spl12_58 ),
    inference(avatar_split_clause,[],[f1328,f1300,f990,f192,f986,f983]) ).

fof(f983,plain,
    ( spl12_50
  <=> ! [X0] : ~ g_both(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_50])]) ).

fof(f192,plain,
    ( spl12_21
  <=> ! [X2,X0] :
        ( g_false_only(sK7(X0),X0)
        | ~ g_both(X2,X2)
        | ~ g_both(X2,X0)
        | g_true_only(sK7(X0),X0)
        | g_true_only(sK7(X0),sK7(X0))
        | g_false_only(sK7(X0),sK7(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).

fof(f1300,plain,
    ( spl12_58
  <=> g_false_only(sK7(sK11),sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_58])]) ).

fof(f1328,plain,
    ( ! [X0] :
        ( g_true_only(sK7(sK11),sK11)
        | ~ g_both(X0,X0) )
    | ~ spl12_21
    | ~ spl12_52
    | spl12_58 ),
    inference(subsumption_resolution,[],[f1327,f231]) ).

fof(f231,plain,
    ! [X0] :
      ( ~ g_both(X0,X0)
      | g_both(X0,sK11) ),
    inference(subsumption_resolution,[],[f224,f73]) ).

fof(f73,plain,
    ! [X7] :
      ( ~ g_both(X7,X7)
      | ~ g_true_only(X7,sK11) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f224,plain,
    ! [X0] :
      ( g_both(X0,sK11)
      | g_true_only(X0,sK11)
      | ~ g_both(X0,X0) ),
    inference(resolution,[],[f89,f78]) ).

fof(f78,plain,
    ! [X7] :
      ( ~ g_false_only(X7,sK11)
      | ~ g_both(X7,X7) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f1327,plain,
    ( ! [X0] :
        ( ~ g_both(X0,sK11)
        | g_true_only(sK7(sK11),sK11)
        | ~ g_both(X0,X0) )
    | ~ spl12_21
    | ~ spl12_52
    | spl12_58 ),
    inference(subsumption_resolution,[],[f1309,f1301]) ).

fof(f1301,plain,
    ( ~ g_false_only(sK7(sK11),sK11)
    | spl12_58 ),
    inference(avatar_component_clause,[],[f1300]) ).

fof(f1309,plain,
    ( ! [X0] :
        ( ~ g_both(X0,sK11)
        | g_true_only(sK7(sK11),sK11)
        | g_false_only(sK7(sK11),sK11)
        | ~ g_both(X0,X0) )
    | ~ spl12_21
    | ~ spl12_52 ),
    inference(resolution,[],[f992,f358]) ).

fof(f358,plain,
    ( ! [X0,X1] :
        ( ~ g_both(sK7(X1),sK11)
        | ~ g_both(X0,X1)
        | g_true_only(sK7(X1),X1)
        | g_false_only(sK7(X1),X1)
        | ~ g_both(X0,X0) )
    | ~ spl12_21 ),
    inference(subsumption_resolution,[],[f353,f75]) ).

fof(f75,plain,
    ! [X7] :
      ( ~ g_both(X7,sK11)
      | ~ g_true_only(X7,X7) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f353,plain,
    ( ! [X0,X1] :
        ( ~ g_both(X0,X0)
        | ~ g_both(X0,X1)
        | g_true_only(sK7(X1),X1)
        | g_true_only(sK7(X1),sK7(X1))
        | g_false_only(sK7(X1),X1)
        | ~ g_both(sK7(X1),sK11) )
    | ~ spl12_21 ),
    inference(resolution,[],[f193,f76]) ).

fof(f76,plain,
    ! [X7] :
      ( ~ g_false_only(X7,X7)
      | ~ g_both(X7,sK11) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f193,plain,
    ( ! [X2,X0] :
        ( g_false_only(sK7(X0),sK7(X0))
        | ~ g_both(X2,X2)
        | ~ g_both(X2,X0)
        | g_true_only(sK7(X0),X0)
        | g_true_only(sK7(X0),sK7(X0))
        | g_false_only(sK7(X0),X0) )
    | ~ spl12_21 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f1323,plain,
    ( ~ spl12_52
    | ~ spl12_58 ),
    inference(avatar_contradiction_clause,[],[f1322]) ).

fof(f1322,plain,
    ( $false
    | ~ spl12_52
    | ~ spl12_58 ),
    inference(subsumption_resolution,[],[f1318,f992]) ).

fof(f1318,plain,
    ( ~ g_both(sK7(sK11),sK11)
    | ~ spl12_58 ),
    inference(resolution,[],[f1302,f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ g_false_only(X0,X1)
      | ~ g_both(X0,X1) ),
    inference(resolution,[],[f229,f81]) ).

fof(f81,plain,
    ! [X3,X5] :
      ( ~ g_both(X5,sK10(X3))
      | ~ g_false_only(X5,X3) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f1302,plain,
    ( g_false_only(sK7(sK11),sK11)
    | ~ spl12_58 ),
    inference(avatar_component_clause,[],[f1300]) ).

fof(f1308,plain,
    ( ~ spl12_51
    | ~ spl12_58 ),
    inference(avatar_contradiction_clause,[],[f1307]) ).

fof(f1307,plain,
    ( $false
    | ~ spl12_51
    | ~ spl12_58 ),
    inference(subsumption_resolution,[],[f1306,f1302]) ).

fof(f1306,plain,
    ( ~ g_false_only(sK7(sK11),sK11)
    | ~ spl12_51 ),
    inference(resolution,[],[f1297,f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ g_true(X0,X1)
      | ~ g_false_only(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( g_false_only(X0,X1)
        | g_true(X0,X1)
        | ~ g_false(X0,X1) )
      & ( ( ~ g_true(X0,X1)
          & g_false(X0,X1) )
        | ~ g_false_only(X0,X1) ) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( g_false_only(X0,X1)
        | g_true(X0,X1)
        | ~ g_false(X0,X1) )
      & ( ( ~ g_true(X0,X1)
          & g_false(X0,X1) )
        | ~ g_false_only(X0,X1) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( g_false_only(X0,X1)
    <=> ( ~ g_true(X0,X1)
        & g_false(X0,X1) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X3,X4] :
      ( g_false_only(X3,X4)
    <=> ( ~ g_true(X3,X4)
        & g_false(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.mSmUiaw6BY/Vampire---4.8_1449',false_only_g) ).

fof(f1297,plain,
    ( g_true(sK7(sK11),sK11)
    | ~ spl12_51 ),
    inference(resolution,[],[f988,f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ g_true_only(X0,X1)
      | g_true(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( g_true_only(X0,X1)
        | g_false(X0,X1)
        | ~ g_true(X0,X1) )
      & ( ( ~ g_false(X0,X1)
          & g_true(X0,X1) )
        | ~ g_true_only(X0,X1) ) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( g_true_only(X0,X1)
        | g_false(X0,X1)
        | ~ g_true(X0,X1) )
      & ( ( ~ g_false(X0,X1)
          & g_true(X0,X1) )
        | ~ g_true_only(X0,X1) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( g_true_only(X0,X1)
    <=> ( ~ g_false(X0,X1)
        & g_true(X0,X1) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X3,X4] :
      ( g_true_only(X3,X4)
    <=> ( ~ g_false(X3,X4)
        & g_true(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.mSmUiaw6BY/Vampire---4.8_1449',true_only_g) ).

fof(f988,plain,
    ( g_true_only(sK7(sK11),sK11)
    | ~ spl12_51 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f1303,plain,
    ( spl12_50
    | spl12_52
    | spl12_58
    | ~ spl12_22
    | ~ spl12_51 ),
    inference(avatar_split_clause,[],[f1298,f986,f196,f1300,f990,f983]) ).

fof(f196,plain,
    ( spl12_22
  <=> ! [X2,X0] :
        ( g_false_only(sK7(X0),X0)
        | ~ g_both(X2,X2)
        | ~ g_both(X2,X0)
        | g_both(sK7(X0),sK7(X0))
        | g_false_only(sK7(X0),sK7(X0))
        | g_both(sK7(X0),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).

fof(f1298,plain,
    ( ! [X0] :
        ( g_false_only(sK7(sK11),sK11)
        | g_both(sK7(sK11),sK11)
        | ~ g_both(X0,X0) )
    | ~ spl12_22
    | ~ spl12_51 ),
    inference(subsumption_resolution,[],[f1295,f231]) ).

fof(f1295,plain,
    ( ! [X0] :
        ( ~ g_both(X0,sK11)
        | g_false_only(sK7(sK11),sK11)
        | g_both(sK7(sK11),sK11)
        | ~ g_both(X0,X0) )
    | ~ spl12_22
    | ~ spl12_51 ),
    inference(resolution,[],[f988,f366]) ).

fof(f366,plain,
    ( ! [X0,X1] :
        ( ~ g_true_only(sK7(X1),sK11)
        | ~ g_both(X0,X1)
        | g_false_only(sK7(X1),X1)
        | g_both(sK7(X1),X1)
        | ~ g_both(X0,X0) )
    | ~ spl12_22 ),
    inference(subsumption_resolution,[],[f362,f73]) ).

fof(f362,plain,
    ( ! [X0,X1] :
        ( ~ g_both(X0,X0)
        | ~ g_both(X0,X1)
        | g_both(sK7(X1),sK7(X1))
        | g_false_only(sK7(X1),X1)
        | g_both(sK7(X1),X1)
        | ~ g_true_only(sK7(X1),sK11) )
    | ~ spl12_22 ),
    inference(resolution,[],[f197,f74]) ).

fof(f74,plain,
    ! [X7] :
      ( ~ g_false_only(X7,X7)
      | ~ g_true_only(X7,sK11) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f197,plain,
    ( ! [X2,X0] :
        ( g_false_only(sK7(X0),sK7(X0))
        | ~ g_both(X2,X2)
        | ~ g_both(X2,X0)
        | g_both(sK7(X0),sK7(X0))
        | g_false_only(sK7(X0),X0)
        | g_both(sK7(X0),X0) )
    | ~ spl12_22 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f1293,plain,
    ( ~ spl12_39
    | ~ spl12_50 ),
    inference(avatar_contradiction_clause,[],[f1292]) ).

fof(f1292,plain,
    ( $false
    | ~ spl12_39
    | ~ spl12_50 ),
    inference(resolution,[],[f984,f553]) ).

fof(f553,plain,
    ( g_both(sK10(sK10(sK10(sK11))),sK10(sK10(sK10(sK11))))
    | ~ spl12_39 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f551,plain,
    ( spl12_39
  <=> g_both(sK10(sK10(sK10(sK11))),sK10(sK10(sK10(sK11)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_39])]) ).

fof(f984,plain,
    ( ! [X0] : ~ g_both(X0,X0)
    | ~ spl12_50 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f1279,plain,
    ( spl12_46
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f1278,f116,f672]) ).

fof(f672,plain,
    ( spl12_46
  <=> ! [X1] : ~ g_both(X1,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_46])]) ).

fof(f116,plain,
    ( spl12_2
  <=> ! [X1] :
        ( g_false_only(X1,X1)
        | g_true_only(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f1278,plain,
    ( ! [X0] : ~ g_both(X0,sK11)
    | ~ spl12_2 ),
    inference(subsumption_resolution,[],[f1266,f75]) ).

fof(f1266,plain,
    ( ! [X0] :
        ( g_true_only(X0,X0)
        | ~ g_both(X0,sK11) )
    | ~ spl12_2 ),
    inference(resolution,[],[f117,f76]) ).

fof(f117,plain,
    ( ! [X1] :
        ( g_false_only(X1,X1)
        | g_true_only(X1,X1) )
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f1263,plain,
    ( spl12_40
    | ~ spl12_46 ),
    inference(avatar_contradiction_clause,[],[f1262]) ).

fof(f1262,plain,
    ( $false
    | spl12_40
    | ~ spl12_46 ),
    inference(subsumption_resolution,[],[f1256,f556]) ).

fof(f556,plain,
    ( ~ g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | spl12_40 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl12_40
  <=> g_true_only(sK10(sK10(sK10(sK11))),sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_40])]) ).

fof(f1256,plain,
    ( g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | ~ spl12_46 ),
    inference(duplicate_literal_removal,[],[f1255]) ).

fof(f1255,plain,
    ( g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | ~ spl12_46 ),
    inference(resolution,[],[f673,f466]) ).

fof(f466,plain,
    ! [X0] :
      ( g_both(sK10(sK10(sK10(X0))),X0)
      | g_true_only(sK10(sK10(sK10(X0))),sK11)
      | g_true_only(sK10(sK10(sK10(X0))),X0) ),
    inference(resolution,[],[f446,f89]) ).

fof(f446,plain,
    ! [X0] :
      ( ~ g_false_only(sK10(sK10(sK10(X0))),X0)
      | g_true_only(sK10(sK10(sK10(X0))),sK11) ),
    inference(resolution,[],[f334,f230]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( g_true_only(X0,sK10(X1))
      | ~ g_false_only(X0,X1) ),
    inference(subsumption_resolution,[],[f223,f81]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( g_both(X0,sK10(X1))
      | g_true_only(X0,sK10(X1))
      | ~ g_false_only(X0,X1) ),
    inference(resolution,[],[f89,f83]) ).

fof(f83,plain,
    ! [X3,X5] :
      ( ~ g_false_only(X5,sK10(X3))
      | ~ g_false_only(X5,X3) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f334,plain,
    ! [X0] :
      ( ~ g_true_only(sK10(sK10(X0)),X0)
      | g_true_only(sK10(sK10(X0)),sK11) ),
    inference(subsumption_resolution,[],[f327,f80]) ).

fof(f80,plain,
    ! [X3,X5] :
      ( ~ g_true_only(X5,sK10(X3))
      | ~ g_true_only(X5,X3) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f327,plain,
    ! [X0] :
      ( g_true_only(sK10(sK10(X0)),sK11)
      | g_true_only(sK10(sK10(X0)),sK10(X0))
      | ~ g_true_only(sK10(sK10(X0)),X0) ),
    inference(resolution,[],[f298,f82]) ).

fof(f298,plain,
    ! [X0] :
      ( g_both(sK10(X0),X0)
      | g_true_only(sK10(X0),sK11)
      | g_true_only(sK10(X0),X0) ),
    inference(resolution,[],[f246,f89]) ).

fof(f246,plain,
    ! [X0] :
      ( ~ g_false_only(sK10(X0),X0)
      | g_true_only(sK10(X0),sK11) ),
    inference(resolution,[],[f230,f232]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ g_true_only(X0,X0)
      | g_true_only(X0,sK11) ),
    inference(subsumption_resolution,[],[f225,f75]) ).

fof(f225,plain,
    ! [X0] :
      ( g_both(X0,sK11)
      | g_true_only(X0,sK11)
      | ~ g_true_only(X0,X0) ),
    inference(resolution,[],[f89,f77]) ).

fof(f77,plain,
    ! [X7] :
      ( ~ g_false_only(X7,sK11)
      | ~ g_true_only(X7,X7) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f673,plain,
    ( ! [X1] : ~ g_both(X1,sK11)
    | ~ spl12_46 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f1237,plain,
    ( ~ spl12_24
    | spl12_40
    | spl12_41 ),
    inference(avatar_contradiction_clause,[],[f1235]) ).

fof(f1235,plain,
    ( $false
    | ~ spl12_24
    | spl12_40
    | spl12_41 ),
    inference(resolution,[],[f1211,f720]) ).

fof(f720,plain,
    ( g_both(sK10(sK10(sK10(sK11))),sK11)
    | spl12_40
    | spl12_41 ),
    inference(subsumption_resolution,[],[f719,f556]) ).

fof(f719,plain,
    ( g_both(sK10(sK10(sK10(sK11))),sK11)
    | g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | spl12_41 ),
    inference(resolution,[],[f718,f89]) ).

fof(f718,plain,
    ( ~ g_false_only(sK10(sK10(sK10(sK11))),sK11)
    | spl12_41 ),
    inference(resolution,[],[f601,f230]) ).

fof(f601,plain,
    ( ~ g_true_only(sK10(sK10(sK10(sK11))),sK10(sK11))
    | spl12_41 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl12_41
  <=> g_true_only(sK10(sK10(sK10(sK11))),sK10(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_41])]) ).

fof(f1211,plain,
    ( ! [X0,X1] : ~ g_both(X1,X0)
    | ~ spl12_24 ),
    inference(subsumption_resolution,[],[f1210,f79]) ).

fof(f1210,plain,
    ( ! [X0,X1] :
        ( g_true_only(X1,sK10(X0))
        | ~ g_both(X1,X0) )
    | ~ spl12_24 ),
    inference(subsumption_resolution,[],[f1187,f935]) ).

fof(f935,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(sK10(X0))
      | ~ g_both(X1,X0)
      | ~ g_both(X2,X0) ),
    inference(subsumption_resolution,[],[f932,f781]) ).

fof(f781,plain,
    ! [X0,X1] :
      ( g_true_only(sK8(sK10(X0),X0),X0)
      | ~ sP0(sK10(X0))
      | ~ g_both(X1,X0) ),
    inference(subsumption_resolution,[],[f780,f229]) ).

fof(f780,plain,
    ! [X0,X1] :
      ( ~ g_both(X1,sK10(X0))
      | ~ g_both(X1,X0)
      | ~ sP0(sK10(X0))
      | g_true_only(sK8(sK10(X0),X0),X0) ),
    inference(subsumption_resolution,[],[f777,f715]) ).

fof(f715,plain,
    ! [X2,X0,X1] :
      ( ~ g_both(sK8(sK10(X1),X1),X1)
      | ~ sP0(sK10(X1))
      | ~ g_both(X2,X1)
      | ~ g_both(X0,X1) ),
    inference(subsumption_resolution,[],[f714,f79]) ).

fof(f714,plain,
    ! [X2,X0,X1] :
      ( ~ g_both(X0,X1)
      | ~ sP0(sK10(X1))
      | g_true_only(sK8(sK10(X1),X1),sK10(X1))
      | ~ g_both(X2,X1)
      | ~ g_both(sK8(sK10(X1),X1),X1) ),
    inference(subsumption_resolution,[],[f709,f233]) ).

fof(f709,plain,
    ! [X2,X0,X1] :
      ( ~ g_both(X0,X1)
      | ~ sP0(sK10(X1))
      | g_true_only(sK8(sK10(X1),X1),sK10(X1))
      | g_true_only(sK8(sK10(X1),X1),X1)
      | ~ g_both(X2,X1)
      | ~ g_both(sK8(sK10(X1),X1),X1) ),
    inference(resolution,[],[f505,f84]) ).

fof(f505,plain,
    ! [X2,X0,X1] :
      ( g_false_only(sK8(sK10(X0),X0),sK10(X0))
      | ~ g_both(X1,X0)
      | ~ sP0(sK10(X0))
      | g_true_only(sK8(sK10(X0),X0),sK10(X0))
      | g_true_only(sK8(sK10(X0),X0),X0)
      | ~ g_both(X2,X0) ),
    inference(subsumption_resolution,[],[f504,f229]) ).

fof(f504,plain,
    ! [X2,X0,X1] :
      ( g_true_only(sK8(sK10(X0),X0),X0)
      | ~ g_both(X1,X0)
      | ~ sP0(sK10(X0))
      | g_true_only(sK8(sK10(X0),X0),sK10(X0))
      | g_false_only(sK8(sK10(X0),X0),sK10(X0))
      | ~ g_both(X2,sK10(X0))
      | ~ g_both(X2,X0) ),
    inference(subsumption_resolution,[],[f503,f402]) ).

fof(f402,plain,
    ! [X2,X0,X1] :
      ( g_true_only(sK8(X0,X1),X0)
      | g_false_only(sK8(X0,X1),X0)
      | ~ g_both(X2,X0)
      | ~ g_both(X2,X1)
      | ~ sP0(X0)
      | ~ g_both(sK8(X0,X1),X1) ),
    inference(subsumption_resolution,[],[f394,f233]) ).

fof(f394,plain,
    ! [X2,X0,X1] :
      ( g_true_only(sK8(X0,X1),X0)
      | g_false_only(sK8(X0,X1),X0)
      | g_true_only(sK8(X0,X1),X1)
      | ~ g_both(X2,X0)
      | ~ g_both(X2,X1)
      | ~ sP0(X0)
      | ~ g_both(sK8(X0,X1),X1) ),
    inference(resolution,[],[f67,f234]) ).

fof(f67,plain,
    ! [X3,X0,X1] :
      ( g_false_only(sK8(X0,X1),X1)
      | g_true_only(sK8(X0,X1),X0)
      | g_false_only(sK8(X0,X1),X0)
      | g_true_only(sK8(X0,X1),X1)
      | ~ g_both(X3,X0)
      | ~ g_both(X3,X1)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( g_both(sK8(X0,X1),X0)
              | g_false_only(sK8(X0,X1),X0) )
            & g_false_only(sK8(X0,X1),X1) )
          | ( ( g_true_only(sK8(X0,X1),X0)
              | g_false_only(sK8(X0,X1),X0) )
            & g_both(sK8(X0,X1),X1) )
          | ( ( g_true_only(sK8(X0,X1),X0)
              | g_both(sK8(X0,X1),X0) )
            & g_true_only(sK8(X0,X1),X1) )
          | ! [X3] :
              ( ~ g_both(X3,X0)
              | ~ g_both(X3,X1) ) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f31,f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ( g_both(X2,X0)
              | g_false_only(X2,X0) )
            & g_false_only(X2,X1) )
          | ( ( g_true_only(X2,X0)
              | g_false_only(X2,X0) )
            & g_both(X2,X1) )
          | ( ( g_true_only(X2,X0)
              | g_both(X2,X0) )
            & g_true_only(X2,X1) ) )
     => ( ( ( g_both(sK8(X0,X1),X0)
            | g_false_only(sK8(X0,X1),X0) )
          & g_false_only(sK8(X0,X1),X1) )
        | ( ( g_true_only(sK8(X0,X1),X0)
            | g_false_only(sK8(X0,X1),X0) )
          & g_both(sK8(X0,X1),X1) )
        | ( ( g_true_only(sK8(X0,X1),X0)
            | g_both(sK8(X0,X1),X0) )
          & g_true_only(sK8(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( ( ( g_both(X2,X0)
                  | g_false_only(X2,X0) )
                & g_false_only(X2,X1) )
              | ( ( g_true_only(X2,X0)
                  | g_false_only(X2,X0) )
                & g_both(X2,X1) )
              | ( ( g_true_only(X2,X0)
                  | g_both(X2,X0) )
                & g_true_only(X2,X1) ) )
          | ! [X3] :
              ( ~ g_both(X3,X0)
              | ~ g_both(X3,X1) ) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f30]) ).

fof(f30,plain,
    ! [X3] :
      ( ! [X6] :
          ( ? [X7] :
              ( ( ( g_both(X7,X3)
                  | g_false_only(X7,X3) )
                & g_false_only(X7,X6) )
              | ( ( g_true_only(X7,X3)
                  | g_false_only(X7,X3) )
                & g_both(X7,X6) )
              | ( ( g_true_only(X7,X3)
                  | g_both(X7,X3) )
                & g_true_only(X7,X6) ) )
          | ! [X8] :
              ( ~ g_both(X8,X3)
              | ~ g_both(X8,X6) ) )
      | ~ sP0(X3) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f503,plain,
    ! [X2,X0,X1] :
      ( g_true_only(sK8(sK10(X0),X0),X0)
      | ~ g_both(X1,X0)
      | ~ sP0(sK10(X0))
      | g_both(sK8(sK10(X0),X0),X0)
      | g_true_only(sK8(sK10(X0),X0),sK10(X0))
      | g_false_only(sK8(sK10(X0),X0),sK10(X0))
      | ~ g_both(X2,sK10(X0))
      | ~ g_both(X2,X0) ),
    inference(subsumption_resolution,[],[f502,f229]) ).

fof(f502,plain,
    ! [X2,X0,X1] :
      ( g_true_only(sK8(sK10(X0),X0),X0)
      | ~ g_both(X1,sK10(X0))
      | ~ g_both(X1,X0)
      | ~ sP0(sK10(X0))
      | g_both(sK8(sK10(X0),X0),X0)
      | g_true_only(sK8(sK10(X0),X0),sK10(X0))
      | g_false_only(sK8(sK10(X0),X0),sK10(X0))
      | ~ g_both(X2,sK10(X0))
      | ~ g_both(X2,X0) ),
    inference(duplicate_literal_removal,[],[f496]) ).

fof(f496,plain,
    ! [X2,X0,X1] :
      ( g_true_only(sK8(sK10(X0),X0),X0)
      | ~ g_both(X1,sK10(X0))
      | ~ g_both(X1,X0)
      | ~ sP0(sK10(X0))
      | g_both(sK8(sK10(X0),X0),X0)
      | g_true_only(sK8(sK10(X0),X0),sK10(X0))
      | g_false_only(sK8(sK10(X0),X0),sK10(X0))
      | g_true_only(sK8(sK10(X0),X0),X0)
      | ~ g_both(X2,sK10(X0))
      | ~ g_both(X2,X0)
      | ~ sP0(sK10(X0)) ),
    inference(resolution,[],[f419,f67]) ).

fof(f419,plain,
    ! [X2,X0,X1] :
      ( ~ g_false_only(sK8(sK10(X0),X1),X0)
      | g_true_only(sK8(sK10(X0),X1),X1)
      | ~ g_both(X2,sK10(X0))
      | ~ g_both(X2,X1)
      | ~ sP0(sK10(X0))
      | g_both(sK8(sK10(X0),X1),X1) ),
    inference(subsumption_resolution,[],[f414,f81]) ).

fof(f414,plain,
    ! [X2,X0,X1] :
      ( g_both(sK8(sK10(X0),X1),sK10(X0))
      | g_both(sK8(sK10(X0),X1),X1)
      | g_true_only(sK8(sK10(X0),X1),X1)
      | ~ g_both(X2,sK10(X0))
      | ~ g_both(X2,X1)
      | ~ sP0(sK10(X0))
      | ~ g_false_only(sK8(sK10(X0),X1),X0) ),
    inference(resolution,[],[f69,f83]) ).

fof(f69,plain,
    ! [X3,X0,X1] :
      ( g_false_only(sK8(X0,X1),X0)
      | g_both(sK8(X0,X1),X0)
      | g_both(sK8(X0,X1),X1)
      | g_true_only(sK8(X0,X1),X1)
      | ~ g_both(X3,X0)
      | ~ g_both(X3,X1)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f777,plain,
    ! [X0,X1] :
      ( g_both(sK8(sK10(X0),X0),X0)
      | ~ g_both(X1,sK10(X0))
      | ~ g_both(X1,X0)
      | ~ sP0(sK10(X0))
      | g_true_only(sK8(sK10(X0),X0),X0) ),
    inference(duplicate_literal_removal,[],[f776]) ).

fof(f776,plain,
    ! [X0,X1] :
      ( g_both(sK8(sK10(X0),X0),X0)
      | ~ g_both(X1,sK10(X0))
      | ~ g_both(X1,X0)
      | ~ sP0(sK10(X0))
      | g_true_only(sK8(sK10(X0),X0),X0)
      | g_true_only(sK8(sK10(X0),X0),X0) ),
    inference(factoring,[],[f499]) ).

fof(f499,plain,
    ! [X2,X0,X1] :
      ( g_both(sK8(sK10(X0),X1),X1)
      | ~ g_both(X2,sK10(X0))
      | ~ g_both(X2,X1)
      | ~ sP0(sK10(X0))
      | g_true_only(sK8(sK10(X0),X1),X1)
      | g_both(sK8(sK10(X0),X1),X0)
      | g_true_only(sK8(sK10(X0),X1),X0) ),
    inference(resolution,[],[f419,f89]) ).

fof(f932,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(sK10(X0))
      | ~ g_both(X1,X0)
      | ~ g_both(X2,X0)
      | ~ g_true_only(sK8(sK10(X0),X0),X0) ),
    inference(resolution,[],[f858,f80]) ).

fof(f858,plain,
    ! [X2,X0,X1] :
      ( g_true_only(sK8(sK10(X1),X1),sK10(X1))
      | ~ sP0(sK10(X1))
      | ~ g_both(X2,X1)
      | ~ g_both(X0,X1) ),
    inference(subsumption_resolution,[],[f857,f717]) ).

fof(f717,plain,
    ! [X2,X0,X1] :
      ( ~ g_both(sK8(sK10(X1),X1),sK10(X1))
      | ~ sP0(sK10(X1))
      | ~ g_both(X2,X1)
      | ~ g_both(X0,X1) ),
    inference(subsumption_resolution,[],[f716,f233]) ).

fof(f716,plain,
    ! [X2,X0,X1] :
      ( ~ g_both(X0,X1)
      | ~ sP0(sK10(X1))
      | g_true_only(sK8(sK10(X1),X1),sK10(X1))
      | ~ g_both(X2,X1)
      | ~ g_both(sK8(sK10(X1),X1),sK10(X1)) ),
    inference(subsumption_resolution,[],[f712,f82]) ).

fof(f712,plain,
    ! [X2,X0,X1] :
      ( ~ g_both(X0,X1)
      | ~ sP0(sK10(X1))
      | g_true_only(sK8(sK10(X1),X1),sK10(X1))
      | g_true_only(sK8(sK10(X1),X1),X1)
      | ~ g_both(X2,X1)
      | ~ g_both(sK8(sK10(X1),X1),sK10(X1)) ),
    inference(resolution,[],[f505,f234]) ).

fof(f857,plain,
    ! [X2,X0,X1] :
      ( ~ g_both(X0,X1)
      | ~ sP0(sK10(X1))
      | ~ g_both(X2,X1)
      | g_true_only(sK8(sK10(X1),X1),sK10(X1))
      | g_both(sK8(sK10(X1),X1),sK10(X1)) ),
    inference(subsumption_resolution,[],[f856,f229]) ).

fof(f856,plain,
    ! [X2,X0,X1] :
      ( ~ g_both(X0,X1)
      | ~ sP0(sK10(X1))
      | ~ g_both(X2,X1)
      | g_true_only(sK8(sK10(X1),X1),sK10(X1))
      | g_both(sK8(sK10(X1),X1),X1)
      | g_both(sK8(sK10(X1),X1),sK10(X1)) ),
    inference(subsumption_resolution,[],[f855,f229]) ).

fof(f855,plain,
    ! [X2,X0,X1] :
      ( ~ g_both(X0,X1)
      | ~ sP0(sK10(X1))
      | ~ g_both(X2,sK10(X1))
      | ~ g_both(X2,X1)
      | g_true_only(sK8(sK10(X1),X1),sK10(X1))
      | g_both(sK8(sK10(X1),X1),X1)
      | g_both(sK8(sK10(X1),X1),sK10(X1)) ),
    inference(duplicate_literal_removal,[],[f851]) ).

fof(f851,plain,
    ! [X2,X0,X1] :
      ( ~ g_both(X0,X1)
      | ~ sP0(sK10(X1))
      | ~ g_both(X2,sK10(X1))
      | ~ g_both(X2,X1)
      | ~ sP0(sK10(X1))
      | g_true_only(sK8(sK10(X1),X1),sK10(X1))
      | g_both(sK8(sK10(X1),X1),X1)
      | g_both(sK8(sK10(X1),X1),sK10(X1)) ),
    inference(resolution,[],[f847,f595]) ).

fof(f595,plain,
    ! [X2,X0,X1] :
      ( ~ g_true(sK8(X0,X1),X1)
      | ~ g_both(X2,X0)
      | ~ g_both(X2,X1)
      | ~ sP0(X0)
      | g_true_only(sK8(X0,X1),X0)
      | g_both(sK8(X0,X1),X1)
      | g_both(sK8(X0,X1),X0) ),
    inference(resolution,[],[f387,f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ g_false(X0,X1)
      | g_both(X0,X1)
      | ~ g_true(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,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,[],[f41]) ).

fof(f41,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,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( g_both(X0,X1)
    <=> ( g_false(X0,X1)
        & g_true(X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X3,X4] :
      ( g_both(X3,X4)
    <=> ( g_false(X3,X4)
        & g_true(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.mSmUiaw6BY/Vampire---4.8_1449',both_g) ).

fof(f387,plain,
    ! [X2,X0,X1] :
      ( g_false(sK8(X0,X1),X1)
      | g_both(sK8(X0,X1),X0)
      | ~ g_both(X2,X0)
      | ~ g_both(X2,X1)
      | ~ sP0(X0)
      | g_true_only(sK8(X0,X1),X0) ),
    inference(subsumption_resolution,[],[f381,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ g_both(X0,X1)
      | g_false(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f381,plain,
    ! [X2,X0,X1] :
      ( g_both(sK8(X0,X1),X1)
      | g_true_only(sK8(X0,X1),X0)
      | g_both(sK8(X0,X1),X0)
      | ~ g_both(X2,X0)
      | ~ g_both(X2,X1)
      | ~ sP0(X0)
      | g_false(sK8(X0,X1),X1) ),
    inference(resolution,[],[f66,f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ~ g_false_only(X0,X1)
      | g_false(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f66,plain,
    ! [X3,X0,X1] :
      ( g_false_only(sK8(X0,X1),X1)
      | g_both(sK8(X0,X1),X1)
      | g_true_only(sK8(X0,X1),X0)
      | g_both(sK8(X0,X1),X0)
      | ~ g_both(X3,X0)
      | ~ g_both(X3,X1)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f847,plain,
    ! [X0,X1] :
      ( g_true(sK8(sK10(X0),X0),X0)
      | ~ g_both(X1,X0)
      | ~ sP0(sK10(X0)) ),
    inference(resolution,[],[f781,f90]) ).

fof(f1187,plain,
    ( ! [X0,X1] :
        ( sP0(sK10(X0))
        | g_true_only(X1,sK10(X0))
        | ~ g_both(X1,X0) )
    | ~ spl12_24 ),
    inference(resolution,[],[f205,f84]) ).

fof(f205,plain,
    ( ! [X2,X0] :
        ( g_false_only(X2,X0)
        | sP0(X0)
        | g_true_only(X2,X0) )
    | ~ spl12_24 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f204,plain,
    ( spl12_24
  <=> ! [X2,X0] :
        ( g_true_only(X2,X0)
        | sP0(X0)
        | g_false_only(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).

fof(f1156,plain,
    ( ~ spl12_12
    | ~ spl12_37
    | spl12_38
    | spl12_43
    | ~ spl12_44 ),
    inference(avatar_contradiction_clause,[],[f1155]) ).

fof(f1155,plain,
    ( $false
    | ~ spl12_12
    | ~ spl12_37
    | spl12_38
    | spl12_43
    | ~ spl12_44 ),
    inference(subsumption_resolution,[],[f1154,f1119]) ).

fof(f1119,plain,
    ( g_false_only(sK6(sK10(sK5)),sK10(sK5))
    | ~ spl12_12
    | spl12_38
    | spl12_43
    | ~ spl12_44 ),
    inference(subsumption_resolution,[],[f1118,f628]) ).

fof(f628,plain,
    ( ~ g_true_only(sK6(sK10(sK5)),sK5)
    | spl12_43 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f627,plain,
    ( spl12_43
  <=> g_true_only(sK6(sK10(sK5)),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_43])]) ).

fof(f1118,plain,
    ( g_false_only(sK6(sK10(sK5)),sK10(sK5))
    | g_true_only(sK6(sK10(sK5)),sK5)
    | ~ spl12_12
    | spl12_38
    | ~ spl12_44 ),
    inference(subsumption_resolution,[],[f1112,f441]) ).

fof(f441,plain,
    ( ~ g_true_only(sK6(sK10(sK5)),sK10(sK5))
    | spl12_38 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f440,plain,
    ( spl12_38
  <=> g_true_only(sK6(sK10(sK5)),sK10(sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_38])]) ).

fof(f1112,plain,
    ( g_true_only(sK6(sK10(sK5)),sK10(sK5))
    | g_false_only(sK6(sK10(sK5)),sK10(sK5))
    | g_true_only(sK6(sK10(sK5)),sK5)
    | ~ spl12_12
    | ~ spl12_44 ),
    inference(resolution,[],[f157,f1109]) ).

fof(f1109,plain,
    ( ~ g_false_only(sK6(sK10(sK5)),sK5)
    | ~ spl12_44 ),
    inference(resolution,[],[f1098,f97]) ).

fof(f1098,plain,
    ( g_true(sK6(sK10(sK5)),sK5)
    | ~ spl12_44 ),
    inference(resolution,[],[f633,f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ g_both(X0,X1)
      | g_true(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f633,plain,
    ( g_both(sK6(sK10(sK5)),sK5)
    | ~ spl12_44 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl12_44
  <=> g_both(sK6(sK10(sK5)),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_44])]) ).

fof(f157,plain,
    ( ! [X1] :
        ( g_false_only(sK6(X1),sK5)
        | g_true_only(sK6(X1),X1)
        | g_false_only(sK6(X1),X1)
        | g_true_only(sK6(X1),sK5) )
    | ~ spl12_12 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl12_12
  <=> ! [X1] :
        ( g_false_only(sK6(X1),X1)
        | g_true_only(sK6(X1),X1)
        | g_false_only(sK6(X1),sK5)
        | g_true_only(sK6(X1),sK5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).

fof(f1154,plain,
    ( ~ g_false_only(sK6(sK10(sK5)),sK10(sK5))
    | ~ spl12_37 ),
    inference(resolution,[],[f1125,f97]) ).

fof(f1125,plain,
    ( g_true(sK6(sK10(sK5)),sK10(sK5))
    | ~ spl12_37 ),
    inference(resolution,[],[f438,f93]) ).

fof(f438,plain,
    ( g_both(sK6(sK10(sK5)),sK10(sK5))
    | ~ spl12_37 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f436,plain,
    ( spl12_37
  <=> g_both(sK6(sK10(sK5)),sK10(sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).

fof(f1095,plain,
    ( ~ spl12_38
    | ~ spl12_43 ),
    inference(avatar_contradiction_clause,[],[f1094]) ).

fof(f1094,plain,
    ( $false
    | ~ spl12_38
    | ~ spl12_43 ),
    inference(subsumption_resolution,[],[f1091,f629]) ).

fof(f629,plain,
    ( g_true_only(sK6(sK10(sK5)),sK5)
    | ~ spl12_43 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f1091,plain,
    ( ~ g_true_only(sK6(sK10(sK5)),sK5)
    | ~ spl12_38 ),
    inference(resolution,[],[f442,f80]) ).

fof(f442,plain,
    ( g_true_only(sK6(sK10(sK5)),sK10(sK5))
    | ~ spl12_38 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f1075,plain,
    ( ~ spl12_44
    | spl12_37 ),
    inference(avatar_split_clause,[],[f1074,f436,f631]) ).

fof(f1074,plain,
    ( ~ g_both(sK6(sK10(sK5)),sK5)
    | spl12_37 ),
    inference(resolution,[],[f437,f229]) ).

fof(f437,plain,
    ( ~ g_both(sK6(sK10(sK5)),sK10(sK5))
    | spl12_37 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f1073,plain,
    ( ~ spl12_38
    | ~ spl12_37 ),
    inference(avatar_split_clause,[],[f1068,f436,f440]) ).

fof(f1068,plain,
    ( ~ g_true_only(sK6(sK10(sK5)),sK10(sK5))
    | ~ spl12_37 ),
    inference(resolution,[],[f438,f233]) ).

fof(f1072,plain,
    ( ~ spl12_37
    | ~ spl12_43 ),
    inference(avatar_contradiction_clause,[],[f1071]) ).

fof(f1071,plain,
    ( $false
    | ~ spl12_37
    | ~ spl12_43 ),
    inference(subsumption_resolution,[],[f1066,f629]) ).

fof(f1066,plain,
    ( ~ g_true_only(sK6(sK10(sK5)),sK5)
    | ~ spl12_37 ),
    inference(resolution,[],[f438,f82]) ).

fof(f993,plain,
    ( spl12_50
    | spl12_51
    | spl12_52
    | ~ spl12_19 ),
    inference(avatar_split_clause,[],[f981,f184,f990,f986,f983]) ).

fof(f184,plain,
    ( spl12_19
  <=> ! [X2,X0] :
        ( g_both(sK7(X0),sK7(X0))
        | ~ g_both(X2,X2)
        | ~ g_both(X2,X0)
        | g_true_only(sK7(X0),X0)
        | g_both(sK7(X0),X0)
        | g_true_only(sK7(X0),sK7(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).

fof(f981,plain,
    ( ! [X0] :
        ( g_both(sK7(sK11),sK11)
        | g_true_only(sK7(sK11),sK11)
        | ~ g_both(X0,X0) )
    | ~ spl12_19 ),
    inference(subsumption_resolution,[],[f978,f231]) ).

fof(f978,plain,
    ( ! [X0] :
        ( g_both(sK7(sK11),sK11)
        | g_true_only(sK7(sK11),sK11)
        | ~ g_both(X0,X0)
        | ~ g_both(X0,sK11) )
    | ~ spl12_19 ),
    inference(duplicate_literal_removal,[],[f977]) ).

fof(f977,plain,
    ( ! [X0] :
        ( g_both(sK7(sK11),sK11)
        | g_true_only(sK7(sK11),sK11)
        | ~ g_both(X0,X0)
        | ~ g_both(X0,sK11)
        | g_true_only(sK7(sK11),sK11) )
    | ~ spl12_19 ),
    inference(factoring,[],[f684]) ).

fof(f684,plain,
    ( ! [X0,X1] :
        ( g_both(sK7(X1),sK11)
        | g_true_only(sK7(X1),X1)
        | g_both(sK7(X1),X1)
        | ~ g_both(X0,X0)
        | ~ g_both(X0,X1)
        | g_true_only(sK7(X1),sK11) )
    | ~ spl12_19 ),
    inference(resolution,[],[f316,f232]) ).

fof(f316,plain,
    ( ! [X0,X1] :
        ( g_true_only(sK7(X1),sK7(X1))
        | ~ g_both(X0,X1)
        | g_true_only(sK7(X1),X1)
        | g_both(sK7(X1),X1)
        | ~ g_both(X0,X0)
        | g_both(sK7(X1),sK11) )
    | ~ spl12_19 ),
    inference(resolution,[],[f185,f231]) ).

fof(f185,plain,
    ( ! [X2,X0] :
        ( g_both(sK7(X0),sK7(X0))
        | ~ g_both(X2,X2)
        | ~ g_both(X2,X0)
        | g_true_only(sK7(X0),X0)
        | g_both(sK7(X0),X0)
        | g_true_only(sK7(X0),sK7(X0)) )
    | ~ spl12_19 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f708,plain,
    ( spl12_40
    | ~ spl12_41 ),
    inference(avatar_split_clause,[],[f701,f600,f555]) ).

fof(f701,plain,
    ( g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | ~ spl12_41 ),
    inference(resolution,[],[f602,f334]) ).

fof(f602,plain,
    ( g_true_only(sK10(sK10(sK10(sK11))),sK10(sK11))
    | ~ spl12_41 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f707,plain,
    ( ~ spl12_40
    | ~ spl12_41 ),
    inference(avatar_split_clause,[],[f702,f600,f555]) ).

fof(f702,plain,
    ( ~ g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | ~ spl12_41 ),
    inference(resolution,[],[f602,f80]) ).

fof(f688,plain,
    ( spl12_41
    | ~ spl12_40
    | spl12_42 ),
    inference(avatar_split_clause,[],[f687,f604,f555,f600]) ).

fof(f604,plain,
    ( spl12_42
  <=> g_both(sK10(sK10(sK10(sK11))),sK10(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_42])]) ).

fof(f687,plain,
    ( g_true_only(sK10(sK10(sK10(sK11))),sK10(sK11))
    | ~ spl12_40
    | spl12_42 ),
    inference(subsumption_resolution,[],[f686,f605]) ).

fof(f605,plain,
    ( ~ g_both(sK10(sK10(sK10(sK11))),sK10(sK11))
    | spl12_42 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f686,plain,
    ( g_both(sK10(sK10(sK10(sK11))),sK10(sK11))
    | g_true_only(sK10(sK10(sK10(sK11))),sK10(sK11))
    | ~ spl12_40 ),
    inference(resolution,[],[f683,f89]) ).

fof(f683,plain,
    ( ~ g_false_only(sK10(sK10(sK10(sK11))),sK10(sK11))
    | ~ spl12_40 ),
    inference(resolution,[],[f654,f230]) ).

fof(f654,plain,
    ( ~ g_true_only(sK10(sK10(sK10(sK11))),sK10(sK10(sK11)))
    | ~ spl12_40 ),
    inference(resolution,[],[f611,f80]) ).

fof(f611,plain,
    ( g_true_only(sK10(sK10(sK10(sK11))),sK10(sK10(sK10(sK11))))
    | ~ spl12_40 ),
    inference(resolution,[],[f557,f227]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ g_true_only(X0,sK11)
      | g_true_only(X0,X0) ),
    inference(subsumption_resolution,[],[f220,f73]) ).

fof(f220,plain,
    ! [X0] :
      ( g_both(X0,X0)
      | g_true_only(X0,X0)
      | ~ g_true_only(X0,sK11) ),
    inference(resolution,[],[f89,f74]) ).

fof(f557,plain,
    ( g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | ~ spl12_40 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f637,plain,
    ( ~ spl12_42
    | spl12_39 ),
    inference(avatar_split_clause,[],[f636,f551,f604]) ).

fof(f636,plain,
    ( ~ g_both(sK10(sK10(sK10(sK11))),sK10(sK11))
    | spl12_39 ),
    inference(resolution,[],[f619,f229]) ).

fof(f619,plain,
    ( ~ g_both(sK10(sK10(sK10(sK11))),sK10(sK10(sK11)))
    | spl12_39 ),
    inference(resolution,[],[f552,f229]) ).

fof(f552,plain,
    ( ~ g_both(sK10(sK10(sK10(sK11))),sK10(sK10(sK10(sK11))))
    | spl12_39 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f634,plain,
    ( spl12_43
    | spl12_44
    | ~ spl12_13 ),
    inference(avatar_split_clause,[],[f624,f160,f631,f627]) ).

fof(f160,plain,
    ( spl12_13
  <=> ! [X1] :
        ( g_false_only(sK6(X1),X1)
        | g_both(sK6(X1),sK5)
        | g_true_only(sK6(X1),sK5)
        | g_both(sK6(X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).

fof(f624,plain,
    ( g_both(sK6(sK10(sK5)),sK5)
    | g_true_only(sK6(sK10(sK5)),sK5)
    | ~ spl12_13 ),
    inference(duplicate_literal_removal,[],[f623]) ).

fof(f623,plain,
    ( g_both(sK6(sK10(sK5)),sK5)
    | g_true_only(sK6(sK10(sK5)),sK5)
    | g_true_only(sK6(sK10(sK5)),sK5)
    | ~ spl12_13 ),
    inference(factoring,[],[f431]) ).

fof(f431,plain,
    ( ! [X0] :
        ( g_both(sK6(sK10(X0)),sK5)
        | g_true_only(sK6(sK10(X0)),sK5)
        | g_both(sK6(sK10(X0)),X0)
        | g_true_only(sK6(sK10(X0)),X0) )
    | ~ spl12_13 ),
    inference(resolution,[],[f283,f89]) ).

fof(f283,plain,
    ( ! [X0] :
        ( ~ g_false_only(sK6(sK10(X0)),X0)
        | g_true_only(sK6(sK10(X0)),sK5)
        | g_both(sK6(sK10(X0)),sK5) )
    | ~ spl12_13 ),
    inference(subsumption_resolution,[],[f278,f81]) ).

fof(f278,plain,
    ( ! [X0] :
        ( g_both(sK6(sK10(X0)),sK5)
        | g_true_only(sK6(sK10(X0)),sK5)
        | g_both(sK6(sK10(X0)),sK10(X0))
        | ~ g_false_only(sK6(sK10(X0)),X0) )
    | ~ spl12_13 ),
    inference(resolution,[],[f161,f83]) ).

fof(f161,plain,
    ( ! [X1] :
        ( g_false_only(sK6(X1),X1)
        | g_both(sK6(X1),sK5)
        | g_true_only(sK6(X1),sK5)
        | g_both(sK6(X1),X1) )
    | ~ spl12_13 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f575,plain,
    ( ~ spl12_40
    | ~ spl12_39 ),
    inference(avatar_split_clause,[],[f571,f551,f555]) ).

fof(f571,plain,
    ( ~ g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | ~ spl12_39 ),
    inference(resolution,[],[f553,f73]) ).

fof(f558,plain,
    ( spl12_39
    | spl12_40 ),
    inference(avatar_split_clause,[],[f547,f555,f551]) ).

fof(f547,plain,
    ( g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | g_both(sK10(sK10(sK10(sK11))),sK10(sK10(sK10(sK11)))) ),
    inference(duplicate_literal_removal,[],[f544]) ).

fof(f544,plain,
    ( g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | g_true_only(sK10(sK10(sK10(sK11))),sK11)
    | g_both(sK10(sK10(sK10(sK11))),sK10(sK10(sK10(sK11)))) ),
    inference(resolution,[],[f466,f226]) ).

fof(f226,plain,
    ! [X0] :
      ( ~ g_both(X0,sK11)
      | g_both(X0,X0) ),
    inference(subsumption_resolution,[],[f219,f75]) ).

fof(f219,plain,
    ! [X0] :
      ( g_both(X0,X0)
      | g_true_only(X0,X0)
      | ~ g_both(X0,sK11) ),
    inference(resolution,[],[f89,f76]) ).

fof(f443,plain,
    ( spl12_37
    | spl12_38
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(avatar_split_clause,[],[f434,f160,f148,f440,f436]) ).

fof(f148,plain,
    ( spl12_10
  <=> ! [X1] :
        ( g_both(sK6(X1),sK5)
        | g_true_only(sK6(X1),X1)
        | g_both(sK6(X1),X1)
        | g_false_only(sK6(X1),sK5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).

fof(f434,plain,
    ( g_true_only(sK6(sK10(sK5)),sK10(sK5))
    | g_both(sK6(sK10(sK5)),sK10(sK5))
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(subsumption_resolution,[],[f433,f264]) ).

fof(f264,plain,
    ( ! [X0] :
        ( ~ g_true_only(sK6(X0),sK5)
        | g_true_only(sK6(X0),X0)
        | g_both(sK6(X0),X0) )
    | ~ spl12_10 ),
    inference(subsumption_resolution,[],[f263,f233]) ).

fof(f263,plain,
    ( ! [X0] :
        ( ~ g_true_only(sK6(X0),sK5)
        | g_true_only(sK6(X0),X0)
        | g_both(sK6(X0),X0)
        | g_both(sK6(X0),sK5) )
    | ~ spl12_10 ),
    inference(resolution,[],[f244,f149]) ).

fof(f149,plain,
    ( ! [X1] :
        ( g_false_only(sK6(X1),sK5)
        | g_true_only(sK6(X1),X1)
        | g_both(sK6(X1),X1)
        | g_both(sK6(X1),sK5) )
    | ~ spl12_10 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( ~ g_false_only(X0,X1)
      | ~ g_true_only(X0,X1) ),
    inference(resolution,[],[f230,f80]) ).

fof(f433,plain,
    ( g_true_only(sK6(sK10(sK5)),sK5)
    | g_true_only(sK6(sK10(sK5)),sK10(sK5))
    | g_both(sK6(sK10(sK5)),sK10(sK5))
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(subsumption_resolution,[],[f432,f229]) ).

fof(f432,plain,
    ( g_true_only(sK6(sK10(sK5)),sK5)
    | g_both(sK6(sK10(sK5)),sK5)
    | g_true_only(sK6(sK10(sK5)),sK10(sK5))
    | g_both(sK6(sK10(sK5)),sK10(sK5))
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(duplicate_literal_removal,[],[f430]) ).

fof(f430,plain,
    ( g_true_only(sK6(sK10(sK5)),sK5)
    | g_both(sK6(sK10(sK5)),sK5)
    | g_true_only(sK6(sK10(sK5)),sK10(sK5))
    | g_both(sK6(sK10(sK5)),sK10(sK5))
    | g_both(sK6(sK10(sK5)),sK5)
    | ~ spl12_10
    | ~ spl12_13 ),
    inference(resolution,[],[f283,f149]) ).

fof(f206,plain,
    ( spl12_15
    | spl12_1
    | spl12_24
    | spl12_6 ),
    inference(avatar_split_clause,[],[f88,f132,f204,f112,f168]) ).

fof(f168,plain,
    ( spl12_15
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).

fof(f112,plain,
    ( spl12_1
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f132,plain,
    ( spl12_6
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).

fof(f88,plain,
    ! [X2,X0] :
      ( sP2
      | g_true_only(X2,X0)
      | g_false_only(X2,X0)
      | sP0(X0)
      | sP3
      | sP1 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f198,plain,
    ( ~ spl12_15
    | spl12_22 ),
    inference(avatar_split_clause,[],[f58,f196,f168]) ).

fof(f58,plain,
    ! [X2,X0] :
      ( g_false_only(sK7(X0),X0)
      | g_both(sK7(X0),X0)
      | g_false_only(sK7(X0),sK7(X0))
      | g_both(sK7(X0),sK7(X0))
      | ~ g_both(X2,X2)
      | ~ g_both(X2,X0)
      | ~ sP1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( ! [X0] :
        ( ( ( g_both(sK7(X0),sK7(X0))
            | g_true_only(sK7(X0),sK7(X0)) )
          & g_false_only(sK7(X0),X0) )
        | ( ( g_false_only(sK7(X0),sK7(X0))
            | g_true_only(sK7(X0),sK7(X0)) )
          & g_both(sK7(X0),X0) )
        | ( ( g_false_only(sK7(X0),sK7(X0))
            | g_both(sK7(X0),sK7(X0)) )
          & g_true_only(sK7(X0),X0) )
        | ! [X2] :
            ( ~ g_both(X2,X2)
            | ~ g_both(X2,X0) ) )
    | ~ sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f27,f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( ( g_both(X1,X1)
              | g_true_only(X1,X1) )
            & g_false_only(X1,X0) )
          | ( ( g_false_only(X1,X1)
              | g_true_only(X1,X1) )
            & g_both(X1,X0) )
          | ( ( g_false_only(X1,X1)
              | g_both(X1,X1) )
            & g_true_only(X1,X0) ) )
     => ( ( ( g_both(sK7(X0),sK7(X0))
            | g_true_only(sK7(X0),sK7(X0)) )
          & g_false_only(sK7(X0),X0) )
        | ( ( g_false_only(sK7(X0),sK7(X0))
            | g_true_only(sK7(X0),sK7(X0)) )
          & g_both(sK7(X0),X0) )
        | ( ( g_false_only(sK7(X0),sK7(X0))
            | g_both(sK7(X0),sK7(X0)) )
          & g_true_only(sK7(X0),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ( ! [X0] :
        ( ? [X1] :
            ( ( ( g_both(X1,X1)
                | g_true_only(X1,X1) )
              & g_false_only(X1,X0) )
            | ( ( g_false_only(X1,X1)
                | g_true_only(X1,X1) )
              & g_both(X1,X0) )
            | ( ( g_false_only(X1,X1)
                | g_both(X1,X1) )
              & g_true_only(X1,X0) ) )
        | ! [X2] :
            ( ~ g_both(X2,X2)
            | ~ g_both(X2,X0) ) )
    | ~ sP1 ),
    inference(rectify,[],[f26]) ).

fof(f26,plain,
    ( ! [X11] :
        ( ? [X12] :
            ( ( ( g_both(X12,X12)
                | g_true_only(X12,X12) )
              & g_false_only(X12,X11) )
            | ( ( g_false_only(X12,X12)
                | g_true_only(X12,X12) )
              & g_both(X12,X11) )
            | ( ( g_false_only(X12,X12)
                | g_both(X12,X12) )
              & g_true_only(X12,X11) ) )
        | ! [X13] :
            ( ~ g_both(X13,X13)
            | ~ g_both(X13,X11) ) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f194,plain,
    ( ~ spl12_15
    | spl12_21 ),
    inference(avatar_split_clause,[],[f59,f192,f168]) ).

fof(f59,plain,
    ! [X2,X0] :
      ( g_false_only(sK7(X0),X0)
      | g_false_only(sK7(X0),sK7(X0))
      | g_true_only(sK7(X0),sK7(X0))
      | g_true_only(sK7(X0),X0)
      | ~ g_both(X2,X2)
      | ~ g_both(X2,X0)
      | ~ sP1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f186,plain,
    ( ~ spl12_15
    | spl12_19 ),
    inference(avatar_split_clause,[],[f61,f184,f168]) ).

fof(f61,plain,
    ! [X2,X0] :
      ( g_both(sK7(X0),sK7(X0))
      | g_true_only(sK7(X0),sK7(X0))
      | g_both(sK7(X0),X0)
      | g_true_only(sK7(X0),X0)
      | ~ g_both(X2,X2)
      | ~ g_both(X2,X0)
      | ~ sP1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f162,plain,
    ( ~ spl12_6
    | spl12_13 ),
    inference(avatar_split_clause,[],[f50,f160,f132]) ).

fof(f50,plain,
    ! [X1] :
      ( g_false_only(sK6(X1),X1)
      | g_both(sK6(X1),X1)
      | g_true_only(sK6(X1),sK5)
      | g_both(sK6(X1),sK5)
      | ~ sP2 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ! [X1] :
        ( ( ( g_both(sK6(X1),sK5)
            | g_false_only(sK6(X1),sK5) )
          & g_false_only(sK6(X1),X1) )
        | ( ( g_true_only(sK6(X1),sK5)
            | g_false_only(sK6(X1),sK5) )
          & g_both(sK6(X1),X1) )
        | ( ( g_true_only(sK6(X1),sK5)
            | g_both(sK6(X1),sK5) )
          & g_true_only(sK6(X1),X1) ) )
    | ~ sP2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f22,f24,f23]) ).

fof(f23,plain,
    ( ? [X0] :
      ! [X1] :
      ? [X2] :
        ( ( ( g_both(X2,X0)
            | g_false_only(X2,X0) )
          & g_false_only(X2,X1) )
        | ( ( g_true_only(X2,X0)
            | g_false_only(X2,X0) )
          & g_both(X2,X1) )
        | ( ( g_true_only(X2,X0)
            | g_both(X2,X0) )
          & g_true_only(X2,X1) ) )
   => ! [X1] :
      ? [X2] :
        ( ( ( g_both(X2,sK5)
            | g_false_only(X2,sK5) )
          & g_false_only(X2,X1) )
        | ( ( g_true_only(X2,sK5)
            | g_false_only(X2,sK5) )
          & g_both(X2,X1) )
        | ( ( g_true_only(X2,sK5)
            | g_both(X2,sK5) )
          & g_true_only(X2,X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ! [X1] :
      ( ? [X2] :
          ( ( ( g_both(X2,sK5)
              | g_false_only(X2,sK5) )
            & g_false_only(X2,X1) )
          | ( ( g_true_only(X2,sK5)
              | g_false_only(X2,sK5) )
            & g_both(X2,X1) )
          | ( ( g_true_only(X2,sK5)
              | g_both(X2,sK5) )
            & g_true_only(X2,X1) ) )
     => ( ( ( g_both(sK6(X1),sK5)
            | g_false_only(sK6(X1),sK5) )
          & g_false_only(sK6(X1),X1) )
        | ( ( g_true_only(sK6(X1),sK5)
            | g_false_only(sK6(X1),sK5) )
          & g_both(sK6(X1),X1) )
        | ( ( g_true_only(sK6(X1),sK5)
            | g_both(sK6(X1),sK5) )
          & g_true_only(sK6(X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f22,plain,
    ( ? [X0] :
      ! [X1] :
      ? [X2] :
        ( ( ( g_both(X2,X0)
            | g_false_only(X2,X0) )
          & g_false_only(X2,X1) )
        | ( ( g_true_only(X2,X0)
            | g_false_only(X2,X0) )
          & g_both(X2,X1) )
        | ( ( g_true_only(X2,X0)
            | g_both(X2,X0) )
          & g_true_only(X2,X1) ) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f158,plain,
    ( ~ spl12_6
    | spl12_12 ),
    inference(avatar_split_clause,[],[f51,f156,f132]) ).

fof(f51,plain,
    ! [X1] :
      ( g_false_only(sK6(X1),X1)
      | g_true_only(sK6(X1),sK5)
      | g_false_only(sK6(X1),sK5)
      | g_true_only(sK6(X1),X1)
      | ~ sP2 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f150,plain,
    ( ~ spl12_6
    | spl12_10 ),
    inference(avatar_split_clause,[],[f53,f148,f132]) ).

fof(f53,plain,
    ! [X1] :
      ( g_both(sK6(X1),sK5)
      | g_false_only(sK6(X1),sK5)
      | g_both(sK6(X1),X1)
      | g_true_only(sK6(X1),X1)
      | ~ sP2 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f118,plain,
    ( ~ spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f48,f116,f112]) ).

fof(f48,plain,
    ! [X1] :
      ( g_false_only(X1,X1)
      | g_true_only(X1,X1)
      | ~ sP3 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( ! [X1] :
        ( ( g_false_only(X1,X1)
          & g_false_only(X1,sK4) )
        | ( g_true_only(X1,X1)
          & g_true_only(X1,sK4) ) )
    | ~ sP3 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f19,f20]) ).

fof(f20,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( g_false_only(X1,X1)
          & g_false_only(X1,X0) )
        | ( g_true_only(X1,X1)
          & g_true_only(X1,X0) ) )
   => ! [X1] :
        ( ( g_false_only(X1,X1)
          & g_false_only(X1,sK4) )
        | ( g_true_only(X1,X1)
          & g_true_only(X1,sK4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f19,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( g_false_only(X1,X1)
          & g_false_only(X1,X0) )
        | ( g_true_only(X1,X1)
          & g_true_only(X1,X0) ) )
    | ~ sP3 ),
    inference(rectify,[],[f18]) ).

fof(f18,plain,
    ( ? [X9] :
      ! [X10] :
        ( ( g_false_only(X10,X10)
          & g_false_only(X10,X9) )
        | ( g_true_only(X10,X10)
          & g_true_only(X10,X9) ) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : SYO605+1 : TPTP v8.1.2. Released v7.0.0.
% 0.08/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.30  % Computer : n003.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Fri May  3 15:49:23 EDT 2024
% 0.11/0.30  % CPUTime    : 
% 0.11/0.30  This is a FOF_THM_RFO_NEQ problem
% 0.11/0.30  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.mSmUiaw6BY/Vampire---4.8_1449
% 0.59/0.78  % (1692)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.78  % (1695)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.78  % (1694)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.78  % (1693)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.59/0.78  % (1697)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.78  % (1696)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.78  % (1698)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.59/0.78  % (1699)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.59/0.78  % (1692)Refutation not found, incomplete strategy% (1692)------------------------------
% 0.59/0.78  % (1692)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (1692)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (1692)Memory used [KB]: 1153
% 0.59/0.78  % (1692)Time elapsed: 0.006 s
% 0.59/0.78  % (1692)Instructions burned: 8 (million)
% 0.59/0.78  % (1692)------------------------------
% 0.59/0.78  % (1692)------------------------------
% 0.59/0.79  % (1702)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.59/0.80  % (1695)Instruction limit reached!
% 0.59/0.80  % (1695)------------------------------
% 0.59/0.80  % (1695)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (1695)Termination reason: Unknown
% 0.59/0.80  % (1695)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (1696)Instruction limit reached!
% 0.59/0.80  % (1696)------------------------------
% 0.59/0.80  % (1696)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (1696)Termination reason: Unknown
% 0.59/0.80  % (1696)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (1696)Memory used [KB]: 1388
% 0.59/0.80  % (1696)Time elapsed: 0.042 s
% 0.59/0.80  % (1696)Instructions burned: 34 (million)
% 0.59/0.80  % (1696)------------------------------
% 0.59/0.80  % (1696)------------------------------
% 0.59/0.80  % (1695)Memory used [KB]: 1376
% 0.59/0.80  % (1695)Time elapsed: 0.042 s
% 0.59/0.80  % (1695)Instructions burned: 33 (million)
% 0.59/0.80  % (1695)------------------------------
% 0.59/0.80  % (1695)------------------------------
% 0.59/0.80  % (1706)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.59/0.80  % (1705)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.64/0.81  % (1697)Instruction limit reached!
% 0.64/0.81  % (1697)------------------------------
% 0.64/0.81  % (1697)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (1697)Termination reason: Unknown
% 0.64/0.81  % (1697)Termination phase: Saturation
% 0.64/0.81  
% 0.64/0.81  % (1697)Memory used [KB]: 1583
% 0.64/0.81  % (1697)Time elapsed: 0.049 s
% 0.64/0.81  % (1697)Instructions burned: 46 (million)
% 0.64/0.81  % (1697)------------------------------
% 0.64/0.81  % (1697)------------------------------
% 0.64/0.81  % (1693)Instruction limit reached!
% 0.64/0.81  % (1693)------------------------------
% 0.64/0.81  % (1693)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (1693)Termination reason: Unknown
% 0.64/0.81  % (1693)Termination phase: Saturation
% 0.64/0.81  
% 0.64/0.81  % (1693)Memory used [KB]: 1727
% 0.64/0.81  % (1693)Time elapsed: 0.051 s
% 0.64/0.81  % (1693)Instructions burned: 51 (million)
% 0.64/0.81  % (1693)------------------------------
% 0.64/0.81  % (1693)------------------------------
% 0.64/0.81  % (1702)Instruction limit reached!
% 0.64/0.81  % (1702)------------------------------
% 0.64/0.81  % (1702)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (1702)Termination reason: Unknown
% 0.64/0.81  % (1702)Termination phase: Property scanning
% 0.64/0.81  
% 0.64/0.81  % (1702)Memory used [KB]: 3450
% 0.64/0.81  % (1702)Time elapsed: 0.023 s
% 0.64/0.81  % (1702)Instructions burned: 55 (million)
% 0.64/0.81  % (1702)------------------------------
% 0.64/0.81  % (1702)------------------------------
% 0.64/0.81  % (1707)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.64/0.81  % (1699)Instruction limit reached!
% 0.64/0.81  % (1699)------------------------------
% 0.64/0.81  % (1699)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (1699)Termination reason: Unknown
% 0.64/0.81  % (1699)Termination phase: Saturation
% 0.64/0.81  
% 0.64/0.81  % (1699)Memory used [KB]: 1408
% 0.64/0.81  % (1699)Time elapsed: 0.055 s
% 0.64/0.81  % (1699)Instructions burned: 56 (million)
% 0.64/0.81  % (1699)------------------------------
% 0.64/0.81  % (1699)------------------------------
% 0.64/0.81  % (1708)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.64/0.81  % (1709)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.64/0.81  % (1707)Refutation not found, incomplete strategy% (1707)------------------------------
% 0.64/0.81  % (1707)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (1710)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.64/0.81  % (1707)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (1707)Memory used [KB]: 1149
% 0.64/0.81  % (1707)Time elapsed: 0.007 s
% 0.64/0.81  % (1707)Instructions burned: 9 (million)
% 0.64/0.81  % (1707)------------------------------
% 0.64/0.81  % (1707)------------------------------
% 0.64/0.82  % (1711)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.64/0.82  % (1694)Instruction limit reached!
% 0.64/0.82  % (1694)------------------------------
% 0.64/0.82  % (1694)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (1694)Termination reason: Unknown
% 0.64/0.82  % (1694)Termination phase: Saturation
% 0.64/0.82  
% 0.64/0.82  % (1694)Memory used [KB]: 1717
% 0.64/0.82  % (1694)Time elapsed: 0.067 s
% 0.64/0.82  % (1694)Instructions burned: 78 (million)
% 0.64/0.82  % (1694)------------------------------
% 0.64/0.82  % (1694)------------------------------
% 0.64/0.82  % (1698)Instruction limit reached!
% 0.64/0.82  % (1698)------------------------------
% 0.64/0.82  % (1698)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (1698)Termination reason: Unknown
% 0.64/0.82  % (1698)Termination phase: Saturation
% 0.64/0.82  
% 0.64/0.82  % (1698)Memory used [KB]: 2193
% 0.64/0.82  % (1698)Time elapsed: 0.069 s
% 0.64/0.82  % (1698)Instructions burned: 83 (million)
% 0.64/0.82  % (1698)------------------------------
% 0.64/0.82  % (1698)------------------------------
% 0.64/0.83  % (1705)Instruction limit reached!
% 0.64/0.83  % (1705)------------------------------
% 0.64/0.83  % (1705)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (1705)Termination reason: Unknown
% 0.64/0.83  % (1705)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (1705)Memory used [KB]: 1301
% 0.64/0.83  % (1705)Time elapsed: 0.026 s
% 0.64/0.83  % (1705)Instructions burned: 51 (million)
% 0.64/0.83  % (1705)------------------------------
% 0.64/0.83  % (1705)------------------------------
% 0.64/0.83  % (1712)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.64/0.83  % (1706)First to succeed.
% 0.64/0.83  % (1709)Instruction limit reached!
% 0.64/0.83  % (1709)------------------------------
% 0.64/0.83  % (1709)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (1709)Termination reason: Unknown
% 0.64/0.83  % (1709)Termination phase: Property scanning
% 0.64/0.83  
% 0.64/0.83  % (1709)Memory used [KB]: 3450
% 0.64/0.83  % (1709)Time elapsed: 0.018 s
% 0.64/0.83  % (1709)Instructions burned: 42 (million)
% 0.64/0.83  % (1713)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.64/0.83  % (1709)------------------------------
% 0.64/0.83  % (1709)------------------------------
% 0.64/0.83  % (1714)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.64/0.83  % (1715)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.64/0.83  % (1706)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1600"
% 0.64/0.83  % (1706)Refutation found. Thanks to Tanya!
% 0.64/0.83  % SZS status Theorem for Vampire---4
% 0.64/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.84  % (1706)------------------------------
% 0.64/0.84  % (1706)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (1706)Termination reason: Refutation
% 0.64/0.84  
% 0.64/0.84  % (1706)Memory used [KB]: 1353
% 0.64/0.84  % (1706)Time elapsed: 0.033 s
% 0.64/0.84  % (1706)Instructions burned: 53 (million)
% 0.64/0.84  % (1600)Success in time 0.532 s
% 0.64/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------