TSTP Solution File: LCL656+1.020 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL656+1.020 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n023.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 : Tue Apr 30 13:47:21 EDT 2024

% Result   : Theorem 19.85s 3.16s
% Output   : Refutation 19.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   94
%            Number of leaves      :   92
% Syntax   : Number of formulae    :  287 (  47 unt;   0 def)
%            Number of atoms       : 5185 (   0 equ)
%            Maximal formula atoms :  474 (  18 avg)
%            Number of connectives : 8826 (3928   ~;2956   |;1934   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  119 (  12 avg)
%            Maximal term depth    :    8 (   1 avg)
%            Number of predicates  :  127 ( 126 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-1 aty)
%            Number of variables   : 1768 (1617   !; 151   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26945,plain,
    $false,
    inference(subsumption_resolution,[],[f26944,f875]) ).

fof(f875,plain,
    r1(sK122,sK82(sK122)),
    inference(resolution,[],[f872,f482]) ).

fof(f482,plain,
    ! [X0] :
      ( ~ sP39(X0)
      | r1(X0,sK82(X0)) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ( p101(sK82(X0))
        & ~ p102(sK82(X0))
        & p2(sK82(X0))
        & r1(X0,sK82(X0)) )
      | ~ sP39(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK82])],[f177,f178]) ).

fof(f178,plain,
    ! [X0] :
      ( ? [X1] :
          ( p101(X1)
          & ~ p102(X1)
          & p2(X1)
          & r1(X0,X1) )
     => ( p101(sK82(X0))
        & ~ p102(sK82(X0))
        & p2(sK82(X0))
        & r1(X0,sK82(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f177,plain,
    ! [X0] :
      ( ? [X1] :
          ( p101(X1)
          & ~ p102(X1)
          & p2(X1)
          & r1(X0,X1) )
      | ~ sP39(X0) ),
    inference(rectify,[],[f176]) ).

fof(f176,plain,
    ! [X20] :
      ( ? [X63] :
          ( p101(X63)
          & ~ p102(X63)
          & p2(X63)
          & r1(X20,X63) )
      | ~ sP39(X20) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X20] :
      ( ? [X63] :
          ( p101(X63)
          & ~ p102(X63)
          & p2(X63)
          & r1(X20,X63) )
      | ~ sP39(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).

fof(f872,plain,
    sP39(sK122),
    inference(subsumption_resolution,[],[f871,f643]) ).

fof(f643,plain,
    p100(sK122),
    inference(cnf_transformation,[],[f338]) ).

fof(f338,plain,
    ( p100(sK122)
    & ~ p101(sK122)
    & ! [X1] :
        ( ! [X2] :
            ( ! [X3] :
                ( ! [X4] :
                    ( ! [X5] :
                        ( ! [X6] :
                            ( ! [X7] :
                                ( ! [X8] :
                                    ( ! [X9] :
                                        ( ! [X10] :
                                            ( ! [X11] :
                                                ( ! [X12] :
                                                    ( ! [X13] :
                                                        ( ! [X14] :
                                                            ( ! [X15] :
                                                                ( ! [X16] :
                                                                    ( ! [X17] :
                                                                        ( ! [X18] :
                                                                            ( ! [X19] :
                                                                                ( ! [X20] :
                                                                                    ( sP81(X20)
                                                                                    | ~ r1(X19,X20) )
                                                                                | ~ r1(X18,X19) )
                                                                            | ~ r1(X17,X18) )
                                                                        | ~ r1(X16,X17) )
                                                                    | ~ r1(X15,X16) )
                                                                | ~ r1(X14,X15) )
                                                            | ~ r1(X13,X14) )
                                                        | ~ r1(X12,X13) )
                                                    | ~ r1(X11,X12) )
                                                | ~ r1(X10,X11) )
                                            | ~ r1(X9,X10) )
                                        | ~ r1(X8,X9) )
                                    | ~ r1(X7,X8) )
                                | ~ r1(X6,X7) )
                            | ~ r1(X5,X6) )
                        | ~ r1(X4,X5) )
                    | ~ r1(X3,X4) )
                | ~ r1(X2,X3) )
            | ~ r1(X1,X2) )
        | ~ r1(sK122,X1) )
    & ! [X21] :
        ( ! [X22] :
            ( ! [X23] :
                ( ! [X24] :
                    ( ! [X25] :
                        ( ! [X26] :
                            ( ! [X27] :
                                ( ! [X28] :
                                    ( ! [X29] :
                                        ( ! [X30] :
                                            ( ! [X31] :
                                                ( ! [X32] :
                                                    ( ! [X33] :
                                                        ( ! [X34] :
                                                            ( ! [X35] :
                                                                ( ! [X36] :
                                                                    ( ! [X37] :
                                                                        ( ! [X38] :
                                                                            ( ! [X39] :
                                                                                ( ! [X40] :
                                                                                    ( p8(X40)
                                                                                    | ~ r1(X39,X40) )
                                                                                | ~ r1(X38,X39) )
                                                                            | ~ r1(X37,X38) )
                                                                        | ~ r1(X36,X37) )
                                                                    | ~ r1(X35,X36) )
                                                                | ~ r1(X34,X35) )
                                                            | ~ r1(X33,X34) )
                                                        | ~ r1(X32,X33) )
                                                    | ~ r1(X31,X32) )
                                                | ~ r1(X30,X31) )
                                            | ~ r1(X29,X30) )
                                        | ~ r1(X28,X29) )
                                    | ~ r1(X27,X28) )
                                | ~ r1(X26,X27) )
                            | ~ r1(X25,X26) )
                        | ~ r1(X24,X25) )
                    | ~ r1(X23,X24) )
                | ~ r1(X22,X23) )
            | ~ r1(X21,X22) )
        | ~ r1(sK122,X21) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK122])],[f336,f337]) ).

fof(f337,plain,
    ( ? [X0] :
        ( p100(X0)
        & ~ p101(X0)
        & ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( ! [X6] :
                                ( ! [X7] :
                                    ( ! [X8] :
                                        ( ! [X9] :
                                            ( ! [X10] :
                                                ( ! [X11] :
                                                    ( ! [X12] :
                                                        ( ! [X13] :
                                                            ( ! [X14] :
                                                                ( ! [X15] :
                                                                    ( ! [X16] :
                                                                        ( ! [X17] :
                                                                            ( ! [X18] :
                                                                                ( ! [X19] :
                                                                                    ( ! [X20] :
                                                                                        ( sP81(X20)
                                                                                        | ~ r1(X19,X20) )
                                                                                    | ~ r1(X18,X19) )
                                                                                | ~ r1(X17,X18) )
                                                                            | ~ r1(X16,X17) )
                                                                        | ~ r1(X15,X16) )
                                                                    | ~ r1(X14,X15) )
                                                                | ~ r1(X13,X14) )
                                                            | ~ r1(X12,X13) )
                                                        | ~ r1(X11,X12) )
                                                    | ~ r1(X10,X11) )
                                                | ~ r1(X9,X10) )
                                            | ~ r1(X8,X9) )
                                        | ~ r1(X7,X8) )
                                    | ~ r1(X6,X7) )
                                | ~ r1(X5,X6) )
                            | ~ r1(X4,X5) )
                        | ~ r1(X3,X4) )
                    | ~ r1(X2,X3) )
                | ~ r1(X1,X2) )
            | ~ r1(X0,X1) )
        & ! [X21] :
            ( ! [X22] :
                ( ! [X23] :
                    ( ! [X24] :
                        ( ! [X25] :
                            ( ! [X26] :
                                ( ! [X27] :
                                    ( ! [X28] :
                                        ( ! [X29] :
                                            ( ! [X30] :
                                                ( ! [X31] :
                                                    ( ! [X32] :
                                                        ( ! [X33] :
                                                            ( ! [X34] :
                                                                ( ! [X35] :
                                                                    ( ! [X36] :
                                                                        ( ! [X37] :
                                                                            ( ! [X38] :
                                                                                ( ! [X39] :
                                                                                    ( ! [X40] :
                                                                                        ( p8(X40)
                                                                                        | ~ r1(X39,X40) )
                                                                                    | ~ r1(X38,X39) )
                                                                                | ~ r1(X37,X38) )
                                                                            | ~ r1(X36,X37) )
                                                                        | ~ r1(X35,X36) )
                                                                    | ~ r1(X34,X35) )
                                                                | ~ r1(X33,X34) )
                                                            | ~ r1(X32,X33) )
                                                        | ~ r1(X31,X32) )
                                                    | ~ r1(X30,X31) )
                                                | ~ r1(X29,X30) )
                                            | ~ r1(X28,X29) )
                                        | ~ r1(X27,X28) )
                                    | ~ r1(X26,X27) )
                                | ~ r1(X25,X26) )
                            | ~ r1(X24,X25) )
                        | ~ r1(X23,X24) )
                    | ~ r1(X22,X23) )
                | ~ r1(X21,X22) )
            | ~ r1(X0,X21) ) )
   => ( p100(sK122)
      & ~ p101(sK122)
      & ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ! [X9] :
                                          ( ! [X10] :
                                              ( ! [X11] :
                                                  ( ! [X12] :
                                                      ( ! [X13] :
                                                          ( ! [X14] :
                                                              ( ! [X15] :
                                                                  ( ! [X16] :
                                                                      ( ! [X17] :
                                                                          ( ! [X18] :
                                                                              ( ! [X19] :
                                                                                  ( ! [X20] :
                                                                                      ( sP81(X20)
                                                                                      | ~ r1(X19,X20) )
                                                                                  | ~ r1(X18,X19) )
                                                                              | ~ r1(X17,X18) )
                                                                          | ~ r1(X16,X17) )
                                                                      | ~ r1(X15,X16) )
                                                                  | ~ r1(X14,X15) )
                                                              | ~ r1(X13,X14) )
                                                          | ~ r1(X12,X13) )
                                                      | ~ r1(X11,X12) )
                                                  | ~ r1(X10,X11) )
                                              | ~ r1(X9,X10) )
                                          | ~ r1(X8,X9) )
                                      | ~ r1(X7,X8) )
                                  | ~ r1(X6,X7) )
                              | ~ r1(X5,X6) )
                          | ~ r1(X4,X5) )
                      | ~ r1(X3,X4) )
                  | ~ r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(sK122,X1) )
      & ! [X21] :
          ( ! [X22] :
              ( ! [X23] :
                  ( ! [X24] :
                      ( ! [X25] :
                          ( ! [X26] :
                              ( ! [X27] :
                                  ( ! [X28] :
                                      ( ! [X29] :
                                          ( ! [X30] :
                                              ( ! [X31] :
                                                  ( ! [X32] :
                                                      ( ! [X33] :
                                                          ( ! [X34] :
                                                              ( ! [X35] :
                                                                  ( ! [X36] :
                                                                      ( ! [X37] :
                                                                          ( ! [X38] :
                                                                              ( ! [X39] :
                                                                                  ( ! [X40] :
                                                                                      ( p8(X40)
                                                                                      | ~ r1(X39,X40) )
                                                                                  | ~ r1(X38,X39) )
                                                                              | ~ r1(X37,X38) )
                                                                          | ~ r1(X36,X37) )
                                                                      | ~ r1(X35,X36) )
                                                                  | ~ r1(X34,X35) )
                                                              | ~ r1(X33,X34) )
                                                          | ~ r1(X32,X33) )
                                                      | ~ r1(X31,X32) )
                                                  | ~ r1(X30,X31) )
                                              | ~ r1(X29,X30) )
                                          | ~ r1(X28,X29) )
                                      | ~ r1(X27,X28) )
                                  | ~ r1(X26,X27) )
                              | ~ r1(X25,X26) )
                          | ~ r1(X24,X25) )
                      | ~ r1(X23,X24) )
                  | ~ r1(X22,X23) )
              | ~ r1(X21,X22) )
          | ~ r1(sK122,X21) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f336,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ! [X9] :
                                          ( ! [X10] :
                                              ( ! [X11] :
                                                  ( ! [X12] :
                                                      ( ! [X13] :
                                                          ( ! [X14] :
                                                              ( ! [X15] :
                                                                  ( ! [X16] :
                                                                      ( ! [X17] :
                                                                          ( ! [X18] :
                                                                              ( ! [X19] :
                                                                                  ( ! [X20] :
                                                                                      ( sP81(X20)
                                                                                      | ~ r1(X19,X20) )
                                                                                  | ~ r1(X18,X19) )
                                                                              | ~ r1(X17,X18) )
                                                                          | ~ r1(X16,X17) )
                                                                      | ~ r1(X15,X16) )
                                                                  | ~ r1(X14,X15) )
                                                              | ~ r1(X13,X14) )
                                                          | ~ r1(X12,X13) )
                                                      | ~ r1(X11,X12) )
                                                  | ~ r1(X10,X11) )
                                              | ~ r1(X9,X10) )
                                          | ~ r1(X8,X9) )
                                      | ~ r1(X7,X8) )
                                  | ~ r1(X6,X7) )
                              | ~ r1(X5,X6) )
                          | ~ r1(X4,X5) )
                      | ~ r1(X3,X4) )
                  | ~ r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) )
      & ! [X21] :
          ( ! [X22] :
              ( ! [X23] :
                  ( ! [X24] :
                      ( ! [X25] :
                          ( ! [X26] :
                              ( ! [X27] :
                                  ( ! [X28] :
                                      ( ! [X29] :
                                          ( ! [X30] :
                                              ( ! [X31] :
                                                  ( ! [X32] :
                                                      ( ! [X33] :
                                                          ( ! [X34] :
                                                              ( ! [X35] :
                                                                  ( ! [X36] :
                                                                      ( ! [X37] :
                                                                          ( ! [X38] :
                                                                              ( ! [X39] :
                                                                                  ( ! [X40] :
                                                                                      ( p8(X40)
                                                                                      | ~ r1(X39,X40) )
                                                                                  | ~ r1(X38,X39) )
                                                                              | ~ r1(X37,X38) )
                                                                          | ~ r1(X36,X37) )
                                                                      | ~ r1(X35,X36) )
                                                                  | ~ r1(X34,X35) )
                                                              | ~ r1(X33,X34) )
                                                          | ~ r1(X32,X33) )
                                                      | ~ r1(X31,X32) )
                                                  | ~ r1(X30,X31) )
                                              | ~ r1(X29,X30) )
                                          | ~ r1(X28,X29) )
                                      | ~ r1(X27,X28) )
                                  | ~ r1(X26,X27) )
                              | ~ r1(X25,X26) )
                          | ~ r1(X24,X25) )
                      | ~ r1(X23,X24) )
                  | ~ r1(X22,X23) )
              | ~ r1(X21,X22) )
          | ~ r1(X0,X21) ) ),
    inference(rectify,[],[f91]) ).

fof(f91,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ! [X9] :
                                          ( ! [X10] :
                                              ( ! [X11] :
                                                  ( ! [X12] :
                                                      ( ! [X13] :
                                                          ( ! [X14] :
                                                              ( ! [X15] :
                                                                  ( ! [X16] :
                                                                      ( ! [X17] :
                                                                          ( ! [X18] :
                                                                              ( ! [X19] :
                                                                                  ( ! [X20] :
                                                                                      ( sP81(X20)
                                                                                      | ~ r1(X19,X20) )
                                                                                  | ~ r1(X18,X19) )
                                                                              | ~ r1(X17,X18) )
                                                                          | ~ r1(X16,X17) )
                                                                      | ~ r1(X15,X16) )
                                                                  | ~ r1(X14,X15) )
                                                              | ~ r1(X13,X14) )
                                                          | ~ r1(X12,X13) )
                                                      | ~ r1(X11,X12) )
                                                  | ~ r1(X10,X11) )
                                              | ~ r1(X9,X10) )
                                          | ~ r1(X8,X9) )
                                      | ~ r1(X7,X8) )
                                  | ~ r1(X6,X7) )
                              | ~ r1(X5,X6) )
                          | ~ r1(X4,X5) )
                      | ~ r1(X3,X4) )
                  | ~ r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) )
      & ! [X103] :
          ( ! [X104] :
              ( ! [X105] :
                  ( ! [X106] :
                      ( ! [X107] :
                          ( ! [X108] :
                              ( ! [X109] :
                                  ( ! [X110] :
                                      ( ! [X111] :
                                          ( ! [X112] :
                                              ( ! [X113] :
                                                  ( ! [X114] :
                                                      ( ! [X115] :
                                                          ( ! [X116] :
                                                              ( ! [X117] :
                                                                  ( ! [X118] :
                                                                      ( ! [X119] :
                                                                          ( ! [X120] :
                                                                              ( ! [X121] :
                                                                                  ( ! [X122] :
                                                                                      ( p8(X122)
                                                                                      | ~ r1(X121,X122) )
                                                                                  | ~ r1(X120,X121) )
                                                                              | ~ r1(X119,X120) )
                                                                          | ~ r1(X118,X119) )
                                                                      | ~ r1(X117,X118) )
                                                                  | ~ r1(X116,X117) )
                                                              | ~ r1(X115,X116) )
                                                          | ~ r1(X114,X115) )
                                                      | ~ r1(X113,X114) )
                                                  | ~ r1(X112,X113) )
                                              | ~ r1(X111,X112) )
                                          | ~ r1(X110,X111) )
                                      | ~ r1(X109,X110) )
                                  | ~ r1(X108,X109) )
                              | ~ r1(X107,X108) )
                          | ~ r1(X106,X107) )
                      | ~ r1(X105,X106) )
                  | ~ r1(X104,X105) )
              | ~ r1(X103,X104) )
          | ~ r1(X0,X103) ) ),
    inference(definition_folding,[],[f8,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).

fof(f9,plain,
    ! [X20] :
      ( ? [X102] :
          ( p120(X102)
          & ~ p21(X102)
          & r1(X20,X102) )
      | ~ sP0(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f10,plain,
    ! [X20] :
      ( ? [X101] :
          ( p120(X101)
          & p21(X101)
          & r1(X20,X101) )
      | ~ sP1(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f11,plain,
    ! [X20] :
      ( ? [X100] :
          ( p119(X100)
          & ~ p120(X100)
          & ~ p20(X100)
          & r1(X20,X100) )
      | ~ sP2(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f12,plain,
    ! [X20] :
      ( ? [X99] :
          ( p119(X99)
          & ~ p120(X99)
          & p20(X99)
          & r1(X20,X99) )
      | ~ sP3(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f13,plain,
    ! [X20] :
      ( ? [X98] :
          ( p118(X98)
          & ~ p119(X98)
          & ~ p19(X98)
          & r1(X20,X98) )
      | ~ sP4(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f14,plain,
    ! [X20] :
      ( ? [X97] :
          ( p118(X97)
          & ~ p119(X97)
          & p19(X97)
          & r1(X20,X97) )
      | ~ sP5(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f15,plain,
    ! [X20] :
      ( ? [X96] :
          ( p117(X96)
          & ~ p118(X96)
          & ~ p18(X96)
          & r1(X20,X96) )
      | ~ sP6(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f16,plain,
    ! [X20] :
      ( ? [X95] :
          ( p117(X95)
          & ~ p118(X95)
          & p18(X95)
          & r1(X20,X95) )
      | ~ sP7(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f17,plain,
    ! [X20] :
      ( ? [X94] :
          ( p116(X94)
          & ~ p117(X94)
          & ~ p17(X94)
          & r1(X20,X94) )
      | ~ sP8(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f18,plain,
    ! [X20] :
      ( ? [X93] :
          ( p116(X93)
          & ~ p117(X93)
          & p17(X93)
          & r1(X20,X93) )
      | ~ sP9(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f19,plain,
    ! [X20] :
      ( ? [X92] :
          ( p115(X92)
          & ~ p116(X92)
          & ~ p16(X92)
          & r1(X20,X92) )
      | ~ sP10(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f20,plain,
    ! [X20] :
      ( ? [X91] :
          ( p115(X91)
          & ~ p116(X91)
          & p16(X91)
          & r1(X20,X91) )
      | ~ sP11(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f21,plain,
    ! [X20] :
      ( ? [X90] :
          ( p114(X90)
          & ~ p115(X90)
          & ~ p15(X90)
          & r1(X20,X90) )
      | ~ sP12(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f22,plain,
    ! [X20] :
      ( ? [X89] :
          ( p114(X89)
          & ~ p115(X89)
          & p15(X89)
          & r1(X20,X89) )
      | ~ sP13(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f23,plain,
    ! [X20] :
      ( ? [X88] :
          ( p113(X88)
          & ~ p114(X88)
          & ~ p14(X88)
          & r1(X20,X88) )
      | ~ sP14(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f24,plain,
    ! [X20] :
      ( ? [X87] :
          ( p113(X87)
          & ~ p114(X87)
          & p14(X87)
          & r1(X20,X87) )
      | ~ sP15(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f25,plain,
    ! [X20] :
      ( ? [X86] :
          ( p112(X86)
          & ~ p113(X86)
          & ~ p13(X86)
          & r1(X20,X86) )
      | ~ sP16(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f26,plain,
    ! [X20] :
      ( ? [X85] :
          ( p112(X85)
          & ~ p113(X85)
          & p13(X85)
          & r1(X20,X85) )
      | ~ sP17(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f27,plain,
    ! [X20] :
      ( ? [X84] :
          ( p111(X84)
          & ~ p112(X84)
          & ~ p12(X84)
          & r1(X20,X84) )
      | ~ sP18(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f28,plain,
    ! [X20] :
      ( ? [X83] :
          ( p111(X83)
          & ~ p112(X83)
          & p12(X83)
          & r1(X20,X83) )
      | ~ sP19(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f29,plain,
    ! [X20] :
      ( ? [X82] :
          ( p110(X82)
          & ~ p111(X82)
          & ~ p11(X82)
          & r1(X20,X82) )
      | ~ sP20(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f30,plain,
    ! [X20] :
      ( ? [X81] :
          ( p110(X81)
          & ~ p111(X81)
          & p11(X81)
          & r1(X20,X81) )
      | ~ sP21(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f31,plain,
    ! [X20] :
      ( ? [X80] :
          ( p109(X80)
          & ~ p110(X80)
          & ~ p10(X80)
          & r1(X20,X80) )
      | ~ sP22(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f32,plain,
    ! [X20] :
      ( ? [X79] :
          ( p109(X79)
          & ~ p110(X79)
          & p10(X79)
          & r1(X20,X79) )
      | ~ sP23(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f33,plain,
    ! [X20] :
      ( ? [X78] :
          ( p108(X78)
          & ~ p109(X78)
          & ~ p9(X78)
          & r1(X20,X78) )
      | ~ sP24(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).

fof(f34,plain,
    ! [X20] :
      ( ? [X77] :
          ( p108(X77)
          & ~ p109(X77)
          & p9(X77)
          & r1(X20,X77) )
      | ~ sP25(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).

fof(f35,plain,
    ! [X20] :
      ( ? [X76] :
          ( p107(X76)
          & ~ p108(X76)
          & ~ p8(X76)
          & r1(X20,X76) )
      | ~ sP26(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

fof(f36,plain,
    ! [X20] :
      ( ? [X75] :
          ( p107(X75)
          & ~ p108(X75)
          & p8(X75)
          & r1(X20,X75) )
      | ~ sP27(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).

fof(f37,plain,
    ! [X20] :
      ( ? [X74] :
          ( p106(X74)
          & ~ p107(X74)
          & ~ p7(X74)
          & r1(X20,X74) )
      | ~ sP28(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).

fof(f38,plain,
    ! [X20] :
      ( ? [X73] :
          ( p106(X73)
          & ~ p107(X73)
          & p7(X73)
          & r1(X20,X73) )
      | ~ sP29(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).

fof(f39,plain,
    ! [X20] :
      ( ? [X72] :
          ( p105(X72)
          & ~ p106(X72)
          & ~ p6(X72)
          & r1(X20,X72) )
      | ~ sP30(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).

fof(f40,plain,
    ! [X20] :
      ( ? [X71] :
          ( p105(X71)
          & ~ p106(X71)
          & p6(X71)
          & r1(X20,X71) )
      | ~ sP31(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

fof(f41,plain,
    ! [X20] :
      ( ? [X70] :
          ( p104(X70)
          & ~ p105(X70)
          & ~ p5(X70)
          & r1(X20,X70) )
      | ~ sP32(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).

fof(f42,plain,
    ! [X20] :
      ( ? [X69] :
          ( p104(X69)
          & ~ p105(X69)
          & p5(X69)
          & r1(X20,X69) )
      | ~ sP33(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).

fof(f43,plain,
    ! [X20] :
      ( ? [X68] :
          ( p103(X68)
          & ~ p104(X68)
          & ~ p4(X68)
          & r1(X20,X68) )
      | ~ sP34(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).

fof(f44,plain,
    ! [X20] :
      ( ? [X67] :
          ( p103(X67)
          & ~ p104(X67)
          & p4(X67)
          & r1(X20,X67) )
      | ~ sP35(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).

fof(f45,plain,
    ! [X20] :
      ( ? [X66] :
          ( p102(X66)
          & ~ p103(X66)
          & ~ p3(X66)
          & r1(X20,X66) )
      | ~ sP36(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).

fof(f46,plain,
    ! [X20] :
      ( ? [X65] :
          ( p102(X65)
          & ~ p103(X65)
          & p3(X65)
          & r1(X20,X65) )
      | ~ sP37(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).

fof(f47,plain,
    ! [X20] :
      ( ? [X64] :
          ( p101(X64)
          & ~ p102(X64)
          & ~ p2(X64)
          & r1(X20,X64) )
      | ~ sP38(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).

fof(f49,plain,
    ! [X20] :
      ( ~ p119(X20)
      | p120(X20)
      | ( sP1(X20)
        & sP0(X20) )
      | ~ sP40(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f50,plain,
    ! [X20] :
      ( ~ p118(X20)
      | p119(X20)
      | ( sP3(X20)
        & sP2(X20) )
      | ~ sP41(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).

fof(f51,plain,
    ! [X20] :
      ( ~ p117(X20)
      | p118(X20)
      | ( sP5(X20)
        & sP4(X20) )
      | ~ sP42(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).

fof(f52,plain,
    ! [X20] :
      ( ~ p116(X20)
      | p117(X20)
      | ( sP7(X20)
        & sP6(X20) )
      | ~ sP43(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).

fof(f53,plain,
    ! [X20] :
      ( ~ p115(X20)
      | p116(X20)
      | ( sP9(X20)
        & sP8(X20) )
      | ~ sP44(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).

fof(f54,plain,
    ! [X20] :
      ( ~ p114(X20)
      | p115(X20)
      | ( sP11(X20)
        & sP10(X20) )
      | ~ sP45(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).

fof(f55,plain,
    ! [X20] :
      ( ~ p113(X20)
      | p114(X20)
      | ( sP13(X20)
        & sP12(X20) )
      | ~ sP46(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).

fof(f56,plain,
    ! [X20] :
      ( ~ p112(X20)
      | p113(X20)
      | ( sP15(X20)
        & sP14(X20) )
      | ~ sP47(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).

fof(f57,plain,
    ! [X20] :
      ( ~ p111(X20)
      | p112(X20)
      | ( sP17(X20)
        & sP16(X20) )
      | ~ sP48(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).

fof(f58,plain,
    ! [X20] :
      ( ~ p110(X20)
      | p111(X20)
      | ( sP19(X20)
        & sP18(X20) )
      | ~ sP49(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).

fof(f59,plain,
    ! [X20] :
      ( ~ p109(X20)
      | p110(X20)
      | ( sP21(X20)
        & sP20(X20) )
      | ~ sP50(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).

fof(f60,plain,
    ! [X20] :
      ( ~ p108(X20)
      | p109(X20)
      | ( sP23(X20)
        & sP22(X20) )
      | ~ sP51(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).

fof(f61,plain,
    ! [X20] :
      ( ~ p107(X20)
      | p108(X20)
      | ( sP25(X20)
        & sP24(X20) )
      | ~ sP52(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).

fof(f62,plain,
    ! [X20] :
      ( ~ p106(X20)
      | p107(X20)
      | ( sP27(X20)
        & sP26(X20) )
      | ~ sP53(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).

fof(f63,plain,
    ! [X20] :
      ( ~ p105(X20)
      | p106(X20)
      | ( sP29(X20)
        & sP28(X20) )
      | ~ sP54(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).

fof(f64,plain,
    ! [X20] :
      ( ~ p104(X20)
      | p105(X20)
      | ( sP31(X20)
        & sP30(X20) )
      | ~ sP55(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).

fof(f65,plain,
    ! [X20] :
      ( ~ p103(X20)
      | p104(X20)
      | ( sP33(X20)
        & sP32(X20) )
      | ~ sP56(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).

fof(f66,plain,
    ! [X20] :
      ( ~ p102(X20)
      | p103(X20)
      | ( sP35(X20)
        & sP34(X20) )
      | ~ sP57(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).

fof(f67,plain,
    ! [X20] :
      ( ~ p101(X20)
      | p102(X20)
      | ( sP37(X20)
        & sP36(X20) )
      | ~ sP58(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).

fof(f68,plain,
    ! [X20] :
      ( ~ p100(X20)
      | p101(X20)
      | ( sP39(X20)
        & sP38(X20) )
      | ~ sP59(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).

fof(f69,plain,
    ! [X20] :
      ( ~ p120(X20)
      | ( ( ~ p21(X20)
          | ! [X61] :
              ( ~ p120(X61)
              | p21(X61)
              | ~ r1(X20,X61) ) )
        & ( p21(X20)
          | ! [X62] :
              ( ~ p120(X62)
              | ~ p21(X62)
              | ~ r1(X20,X62) ) ) )
      | ~ sP60(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).

fof(f70,plain,
    ! [X20] :
      ( ~ p119(X20)
      | ( ( ~ p20(X20)
          | ! [X59] :
              ( ~ p119(X59)
              | p20(X59)
              | ~ r1(X20,X59) ) )
        & ( p20(X20)
          | ! [X60] :
              ( ~ p119(X60)
              | ~ p20(X60)
              | ~ r1(X20,X60) ) ) )
      | ~ sP61(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).

fof(f71,plain,
    ! [X20] :
      ( ~ p118(X20)
      | ( ( ~ p19(X20)
          | ! [X57] :
              ( ~ p118(X57)
              | p19(X57)
              | ~ r1(X20,X57) ) )
        & ( p19(X20)
          | ! [X58] :
              ( ~ p118(X58)
              | ~ p19(X58)
              | ~ r1(X20,X58) ) ) )
      | ~ sP62(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).

fof(f72,plain,
    ! [X20] :
      ( ~ p117(X20)
      | ( ( ~ p18(X20)
          | ! [X55] :
              ( ~ p117(X55)
              | p18(X55)
              | ~ r1(X20,X55) ) )
        & ( p18(X20)
          | ! [X56] :
              ( ~ p117(X56)
              | ~ p18(X56)
              | ~ r1(X20,X56) ) ) )
      | ~ sP63(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).

fof(f73,plain,
    ! [X20] :
      ( ~ p116(X20)
      | ( ( ~ p17(X20)
          | ! [X53] :
              ( ~ p116(X53)
              | p17(X53)
              | ~ r1(X20,X53) ) )
        & ( p17(X20)
          | ! [X54] :
              ( ~ p116(X54)
              | ~ p17(X54)
              | ~ r1(X20,X54) ) ) )
      | ~ sP64(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).

fof(f74,plain,
    ! [X20] :
      ( ~ p115(X20)
      | ( ( ~ p16(X20)
          | ! [X51] :
              ( ~ p115(X51)
              | p16(X51)
              | ~ r1(X20,X51) ) )
        & ( p16(X20)
          | ! [X52] :
              ( ~ p115(X52)
              | ~ p16(X52)
              | ~ r1(X20,X52) ) ) )
      | ~ sP65(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).

fof(f75,plain,
    ! [X20] :
      ( ~ p114(X20)
      | ( ( ~ p15(X20)
          | ! [X49] :
              ( ~ p114(X49)
              | p15(X49)
              | ~ r1(X20,X49) ) )
        & ( p15(X20)
          | ! [X50] :
              ( ~ p114(X50)
              | ~ p15(X50)
              | ~ r1(X20,X50) ) ) )
      | ~ sP66(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).

fof(f76,plain,
    ! [X20] :
      ( ~ p113(X20)
      | ( ( ~ p14(X20)
          | ! [X47] :
              ( ~ p113(X47)
              | p14(X47)
              | ~ r1(X20,X47) ) )
        & ( p14(X20)
          | ! [X48] :
              ( ~ p113(X48)
              | ~ p14(X48)
              | ~ r1(X20,X48) ) ) )
      | ~ sP67(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).

fof(f77,plain,
    ! [X20] :
      ( ~ p112(X20)
      | ( ( ~ p13(X20)
          | ! [X45] :
              ( ~ p112(X45)
              | p13(X45)
              | ~ r1(X20,X45) ) )
        & ( p13(X20)
          | ! [X46] :
              ( ~ p112(X46)
              | ~ p13(X46)
              | ~ r1(X20,X46) ) ) )
      | ~ sP68(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).

fof(f78,plain,
    ! [X20] :
      ( ~ p111(X20)
      | ( ( ~ p12(X20)
          | ! [X43] :
              ( ~ p111(X43)
              | p12(X43)
              | ~ r1(X20,X43) ) )
        & ( p12(X20)
          | ! [X44] :
              ( ~ p111(X44)
              | ~ p12(X44)
              | ~ r1(X20,X44) ) ) )
      | ~ sP69(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).

fof(f79,plain,
    ! [X20] :
      ( ~ p110(X20)
      | ( ( ~ p11(X20)
          | ! [X41] :
              ( ~ p110(X41)
              | p11(X41)
              | ~ r1(X20,X41) ) )
        & ( p11(X20)
          | ! [X42] :
              ( ~ p110(X42)
              | ~ p11(X42)
              | ~ r1(X20,X42) ) ) )
      | ~ sP70(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).

fof(f80,plain,
    ! [X20] :
      ( ~ p109(X20)
      | ( ( ~ p10(X20)
          | ! [X39] :
              ( ~ p109(X39)
              | p10(X39)
              | ~ r1(X20,X39) ) )
        & ( p10(X20)
          | ! [X40] :
              ( ~ p109(X40)
              | ~ p10(X40)
              | ~ r1(X20,X40) ) ) )
      | ~ sP71(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).

fof(f81,plain,
    ! [X20] :
      ( ~ p108(X20)
      | ( ( ~ p9(X20)
          | ! [X37] :
              ( ~ p108(X37)
              | p9(X37)
              | ~ r1(X20,X37) ) )
        & ( p9(X20)
          | ! [X38] :
              ( ~ p108(X38)
              | ~ p9(X38)
              | ~ r1(X20,X38) ) ) )
      | ~ sP72(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).

fof(f82,plain,
    ! [X20] :
      ( ~ p107(X20)
      | ( ( ~ p8(X20)
          | ! [X35] :
              ( ~ p107(X35)
              | p8(X35)
              | ~ r1(X20,X35) ) )
        & ( p8(X20)
          | ! [X36] :
              ( ~ p107(X36)
              | ~ p8(X36)
              | ~ r1(X20,X36) ) ) )
      | ~ sP73(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).

fof(f83,plain,
    ! [X20] :
      ( ~ p106(X20)
      | ( ( ~ p7(X20)
          | ! [X33] :
              ( ~ p106(X33)
              | p7(X33)
              | ~ r1(X20,X33) ) )
        & ( p7(X20)
          | ! [X34] :
              ( ~ p106(X34)
              | ~ p7(X34)
              | ~ r1(X20,X34) ) ) )
      | ~ sP74(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).

fof(f84,plain,
    ! [X20] :
      ( ~ p105(X20)
      | ( ( ~ p6(X20)
          | ! [X31] :
              ( ~ p105(X31)
              | p6(X31)
              | ~ r1(X20,X31) ) )
        & ( p6(X20)
          | ! [X32] :
              ( ~ p105(X32)
              | ~ p6(X32)
              | ~ r1(X20,X32) ) ) )
      | ~ sP75(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).

fof(f85,plain,
    ! [X20] :
      ( ~ p104(X20)
      | ( ( ~ p5(X20)
          | ! [X29] :
              ( ~ p104(X29)
              | p5(X29)
              | ~ r1(X20,X29) ) )
        & ( p5(X20)
          | ! [X30] :
              ( ~ p104(X30)
              | ~ p5(X30)
              | ~ r1(X20,X30) ) ) )
      | ~ sP76(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).

fof(f86,plain,
    ! [X20] :
      ( ~ p103(X20)
      | ( ( ~ p4(X20)
          | ! [X27] :
              ( ~ p103(X27)
              | p4(X27)
              | ~ r1(X20,X27) ) )
        & ( p4(X20)
          | ! [X28] :
              ( ~ p103(X28)
              | ~ p4(X28)
              | ~ r1(X20,X28) ) ) )
      | ~ sP77(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).

fof(f87,plain,
    ! [X20] :
      ( ~ p102(X20)
      | ( ( ~ p3(X20)
          | ! [X25] :
              ( ~ p102(X25)
              | p3(X25)
              | ~ r1(X20,X25) ) )
        & ( p3(X20)
          | ! [X26] :
              ( ~ p102(X26)
              | ~ p3(X26)
              | ~ r1(X20,X26) ) ) )
      | ~ sP78(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).

fof(f88,plain,
    ! [X20] :
      ( ~ p101(X20)
      | ( ( ~ p2(X20)
          | ! [X23] :
              ( ~ p101(X23)
              | p2(X23)
              | ~ r1(X20,X23) ) )
        & ( p2(X20)
          | ! [X24] :
              ( ~ p101(X24)
              | ~ p2(X24)
              | ~ r1(X20,X24) ) ) )
      | ~ sP79(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).

fof(f89,plain,
    ! [X20] :
      ( ~ p100(X20)
      | ( ( ~ p1(X20)
          | ! [X21] :
              ( ~ p100(X21)
              | p1(X21)
              | ~ r1(X20,X21) ) )
        & ( p1(X20)
          | ! [X22] :
              ( ~ p100(X22)
              | ~ p1(X22)
              | ~ r1(X20,X22) ) ) )
      | ~ sP80(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).

fof(f90,plain,
    ! [X20] :
      ( ( ( ~ p101(X20)
          | p100(X20) )
        & ( ~ p102(X20)
          | p101(X20) )
        & ( ~ p103(X20)
          | p102(X20) )
        & ( ~ p104(X20)
          | p103(X20) )
        & ( ~ p105(X20)
          | p104(X20) )
        & ( ~ p106(X20)
          | p105(X20) )
        & ( ~ p107(X20)
          | p106(X20) )
        & ( ~ p108(X20)
          | p107(X20) )
        & ( ~ p109(X20)
          | p108(X20) )
        & ( ~ p110(X20)
          | p109(X20) )
        & ( ~ p111(X20)
          | p110(X20) )
        & ( ~ p112(X20)
          | p111(X20) )
        & ( ~ p113(X20)
          | p112(X20) )
        & ( ~ p114(X20)
          | p113(X20) )
        & ( ~ p115(X20)
          | p114(X20) )
        & ( ~ p116(X20)
          | p115(X20) )
        & ( ~ p117(X20)
          | p116(X20) )
        & ( ~ p118(X20)
          | p117(X20) )
        & ( ~ p119(X20)
          | p118(X20) )
        & ( ~ p120(X20)
          | p119(X20) )
        & sP80(X20)
        & sP79(X20)
        & sP78(X20)
        & sP77(X20)
        & sP76(X20)
        & sP75(X20)
        & sP74(X20)
        & sP73(X20)
        & sP72(X20)
        & sP71(X20)
        & sP70(X20)
        & sP69(X20)
        & sP68(X20)
        & sP67(X20)
        & sP66(X20)
        & sP65(X20)
        & sP64(X20)
        & sP63(X20)
        & sP62(X20)
        & sP61(X20)
        & sP60(X20)
        & sP59(X20)
        & sP58(X20)
        & sP57(X20)
        & sP56(X20)
        & sP55(X20)
        & sP54(X20)
        & sP53(X20)
        & sP52(X20)
        & sP51(X20)
        & sP50(X20)
        & sP49(X20)
        & sP48(X20)
        & sP47(X20)
        & sP46(X20)
        & sP45(X20)
        & sP44(X20)
        & sP43(X20)
        & sP42(X20)
        & sP41(X20)
        & sP40(X20) )
      | ~ sP81(X20) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).

fof(f8,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ! [X9] :
                                          ( ! [X10] :
                                              ( ! [X11] :
                                                  ( ! [X12] :
                                                      ( ! [X13] :
                                                          ( ! [X14] :
                                                              ( ! [X15] :
                                                                  ( ! [X16] :
                                                                      ( ! [X17] :
                                                                          ( ! [X18] :
                                                                              ( ! [X19] :
                                                                                  ( ! [X20] :
                                                                                      ( ( ( ~ p101(X20)
                                                                                          | p100(X20) )
                                                                                        & ( ~ p102(X20)
                                                                                          | p101(X20) )
                                                                                        & ( ~ p103(X20)
                                                                                          | p102(X20) )
                                                                                        & ( ~ p104(X20)
                                                                                          | p103(X20) )
                                                                                        & ( ~ p105(X20)
                                                                                          | p104(X20) )
                                                                                        & ( ~ p106(X20)
                                                                                          | p105(X20) )
                                                                                        & ( ~ p107(X20)
                                                                                          | p106(X20) )
                                                                                        & ( ~ p108(X20)
                                                                                          | p107(X20) )
                                                                                        & ( ~ p109(X20)
                                                                                          | p108(X20) )
                                                                                        & ( ~ p110(X20)
                                                                                          | p109(X20) )
                                                                                        & ( ~ p111(X20)
                                                                                          | p110(X20) )
                                                                                        & ( ~ p112(X20)
                                                                                          | p111(X20) )
                                                                                        & ( ~ p113(X20)
                                                                                          | p112(X20) )
                                                                                        & ( ~ p114(X20)
                                                                                          | p113(X20) )
                                                                                        & ( ~ p115(X20)
                                                                                          | p114(X20) )
                                                                                        & ( ~ p116(X20)
                                                                                          | p115(X20) )
                                                                                        & ( ~ p117(X20)
                                                                                          | p116(X20) )
                                                                                        & ( ~ p118(X20)
                                                                                          | p117(X20) )
                                                                                        & ( ~ p119(X20)
                                                                                          | p118(X20) )
                                                                                        & ( ~ p120(X20)
                                                                                          | p119(X20) )
                                                                                        & ( ~ p100(X20)
                                                                                          | ( ( ~ p1(X20)
                                                                                              | ! [X21] :
                                                                                                  ( ~ p100(X21)
                                                                                                  | p1(X21)
                                                                                                  | ~ r1(X20,X21) ) )
                                                                                            & ( p1(X20)
                                                                                              | ! [X22] :
                                                                                                  ( ~ p100(X22)
                                                                                                  | ~ p1(X22)
                                                                                                  | ~ r1(X20,X22) ) ) ) )
                                                                                        & ( ~ p101(X20)
                                                                                          | ( ( ~ p2(X20)
                                                                                              | ! [X23] :
                                                                                                  ( ~ p101(X23)
                                                                                                  | p2(X23)
                                                                                                  | ~ r1(X20,X23) ) )
                                                                                            & ( p2(X20)
                                                                                              | ! [X24] :
                                                                                                  ( ~ p101(X24)
                                                                                                  | ~ p2(X24)
                                                                                                  | ~ r1(X20,X24) ) ) ) )
                                                                                        & ( ~ p102(X20)
                                                                                          | ( ( ~ p3(X20)
                                                                                              | ! [X25] :
                                                                                                  ( ~ p102(X25)
                                                                                                  | p3(X25)
                                                                                                  | ~ r1(X20,X25) ) )
                                                                                            & ( p3(X20)
                                                                                              | ! [X26] :
                                                                                                  ( ~ p102(X26)
                                                                                                  | ~ p3(X26)
                                                                                                  | ~ r1(X20,X26) ) ) ) )
                                                                                        & ( ~ p103(X20)
                                                                                          | ( ( ~ p4(X20)
                                                                                              | ! [X27] :
                                                                                                  ( ~ p103(X27)
                                                                                                  | p4(X27)
                                                                                                  | ~ r1(X20,X27) ) )
                                                                                            & ( p4(X20)
                                                                                              | ! [X28] :
                                                                                                  ( ~ p103(X28)
                                                                                                  | ~ p4(X28)
                                                                                                  | ~ r1(X20,X28) ) ) ) )
                                                                                        & ( ~ p104(X20)
                                                                                          | ( ( ~ p5(X20)
                                                                                              | ! [X29] :
                                                                                                  ( ~ p104(X29)
                                                                                                  | p5(X29)
                                                                                                  | ~ r1(X20,X29) ) )
                                                                                            & ( p5(X20)
                                                                                              | ! [X30] :
                                                                                                  ( ~ p104(X30)
                                                                                                  | ~ p5(X30)
                                                                                                  | ~ r1(X20,X30) ) ) ) )
                                                                                        & ( ~ p105(X20)
                                                                                          | ( ( ~ p6(X20)
                                                                                              | ! [X31] :
                                                                                                  ( ~ p105(X31)
                                                                                                  | p6(X31)
                                                                                                  | ~ r1(X20,X31) ) )
                                                                                            & ( p6(X20)
                                                                                              | ! [X32] :
                                                                                                  ( ~ p105(X32)
                                                                                                  | ~ p6(X32)
                                                                                                  | ~ r1(X20,X32) ) ) ) )
                                                                                        & ( ~ p106(X20)
                                                                                          | ( ( ~ p7(X20)
                                                                                              | ! [X33] :
                                                                                                  ( ~ p106(X33)
                                                                                                  | p7(X33)
                                                                                                  | ~ r1(X20,X33) ) )
                                                                                            & ( p7(X20)
                                                                                              | ! [X34] :
                                                                                                  ( ~ p106(X34)
                                                                                                  | ~ p7(X34)
                                                                                                  | ~ r1(X20,X34) ) ) ) )
                                                                                        & ( ~ p107(X20)
                                                                                          | ( ( ~ p8(X20)
                                                                                              | ! [X35] :
                                                                                                  ( ~ p107(X35)
                                                                                                  | p8(X35)
                                                                                                  | ~ r1(X20,X35) ) )
                                                                                            & ( p8(X20)
                                                                                              | ! [X36] :
                                                                                                  ( ~ p107(X36)
                                                                                                  | ~ p8(X36)
                                                                                                  | ~ r1(X20,X36) ) ) ) )
                                                                                        & ( ~ p108(X20)
                                                                                          | ( ( ~ p9(X20)
                                                                                              | ! [X37] :
                                                                                                  ( ~ p108(X37)
                                                                                                  | p9(X37)
                                                                                                  | ~ r1(X20,X37) ) )
                                                                                            & ( p9(X20)
                                                                                              | ! [X38] :
                                                                                                  ( ~ p108(X38)
                                                                                                  | ~ p9(X38)
                                                                                                  | ~ r1(X20,X38) ) ) ) )
                                                                                        & ( ~ p109(X20)
                                                                                          | ( ( ~ p10(X20)
                                                                                              | ! [X39] :
                                                                                                  ( ~ p109(X39)
                                                                                                  | p10(X39)
                                                                                                  | ~ r1(X20,X39) ) )
                                                                                            & ( p10(X20)
                                                                                              | ! [X40] :
                                                                                                  ( ~ p109(X40)
                                                                                                  | ~ p10(X40)
                                                                                                  | ~ r1(X20,X40) ) ) ) )
                                                                                        & ( ~ p110(X20)
                                                                                          | ( ( ~ p11(X20)
                                                                                              | ! [X41] :
                                                                                                  ( ~ p110(X41)
                                                                                                  | p11(X41)
                                                                                                  | ~ r1(X20,X41) ) )
                                                                                            & ( p11(X20)
                                                                                              | ! [X42] :
                                                                                                  ( ~ p110(X42)
                                                                                                  | ~ p11(X42)
                                                                                                  | ~ r1(X20,X42) ) ) ) )
                                                                                        & ( ~ p111(X20)
                                                                                          | ( ( ~ p12(X20)
                                                                                              | ! [X43] :
                                                                                                  ( ~ p111(X43)
                                                                                                  | p12(X43)
                                                                                                  | ~ r1(X20,X43) ) )
                                                                                            & ( p12(X20)
                                                                                              | ! [X44] :
                                                                                                  ( ~ p111(X44)
                                                                                                  | ~ p12(X44)
                                                                                                  | ~ r1(X20,X44) ) ) ) )
                                                                                        & ( ~ p112(X20)
                                                                                          | ( ( ~ p13(X20)
                                                                                              | ! [X45] :
                                                                                                  ( ~ p112(X45)
                                                                                                  | p13(X45)
                                                                                                  | ~ r1(X20,X45) ) )
                                                                                            & ( p13(X20)
                                                                                              | ! [X46] :
                                                                                                  ( ~ p112(X46)
                                                                                                  | ~ p13(X46)
                                                                                                  | ~ r1(X20,X46) ) ) ) )
                                                                                        & ( ~ p113(X20)
                                                                                          | ( ( ~ p14(X20)
                                                                                              | ! [X47] :
                                                                                                  ( ~ p113(X47)
                                                                                                  | p14(X47)
                                                                                                  | ~ r1(X20,X47) ) )
                                                                                            & ( p14(X20)
                                                                                              | ! [X48] :
                                                                                                  ( ~ p113(X48)
                                                                                                  | ~ p14(X48)
                                                                                                  | ~ r1(X20,X48) ) ) ) )
                                                                                        & ( ~ p114(X20)
                                                                                          | ( ( ~ p15(X20)
                                                                                              | ! [X49] :
                                                                                                  ( ~ p114(X49)
                                                                                                  | p15(X49)
                                                                                                  | ~ r1(X20,X49) ) )
                                                                                            & ( p15(X20)
                                                                                              | ! [X50] :
                                                                                                  ( ~ p114(X50)
                                                                                                  | ~ p15(X50)
                                                                                                  | ~ r1(X20,X50) ) ) ) )
                                                                                        & ( ~ p115(X20)
                                                                                          | ( ( ~ p16(X20)
                                                                                              | ! [X51] :
                                                                                                  ( ~ p115(X51)
                                                                                                  | p16(X51)
                                                                                                  | ~ r1(X20,X51) ) )
                                                                                            & ( p16(X20)
                                                                                              | ! [X52] :
                                                                                                  ( ~ p115(X52)
                                                                                                  | ~ p16(X52)
                                                                                                  | ~ r1(X20,X52) ) ) ) )
                                                                                        & ( ~ p116(X20)
                                                                                          | ( ( ~ p17(X20)
                                                                                              | ! [X53] :
                                                                                                  ( ~ p116(X53)
                                                                                                  | p17(X53)
                                                                                                  | ~ r1(X20,X53) ) )
                                                                                            & ( p17(X20)
                                                                                              | ! [X54] :
                                                                                                  ( ~ p116(X54)
                                                                                                  | ~ p17(X54)
                                                                                                  | ~ r1(X20,X54) ) ) ) )
                                                                                        & ( ~ p117(X20)
                                                                                          | ( ( ~ p18(X20)
                                                                                              | ! [X55] :
                                                                                                  ( ~ p117(X55)
                                                                                                  | p18(X55)
                                                                                                  | ~ r1(X20,X55) ) )
                                                                                            & ( p18(X20)
                                                                                              | ! [X56] :
                                                                                                  ( ~ p117(X56)
                                                                                                  | ~ p18(X56)
                                                                                                  | ~ r1(X20,X56) ) ) ) )
                                                                                        & ( ~ p118(X20)
                                                                                          | ( ( ~ p19(X20)
                                                                                              | ! [X57] :
                                                                                                  ( ~ p118(X57)
                                                                                                  | p19(X57)
                                                                                                  | ~ r1(X20,X57) ) )
                                                                                            & ( p19(X20)
                                                                                              | ! [X58] :
                                                                                                  ( ~ p118(X58)
                                                                                                  | ~ p19(X58)
                                                                                                  | ~ r1(X20,X58) ) ) ) )
                                                                                        & ( ~ p119(X20)
                                                                                          | ( ( ~ p20(X20)
                                                                                              | ! [X59] :
                                                                                                  ( ~ p119(X59)
                                                                                                  | p20(X59)
                                                                                                  | ~ r1(X20,X59) ) )
                                                                                            & ( p20(X20)
                                                                                              | ! [X60] :
                                                                                                  ( ~ p119(X60)
                                                                                                  | ~ p20(X60)
                                                                                                  | ~ r1(X20,X60) ) ) ) )
                                                                                        & ( ~ p120(X20)
                                                                                          | ( ( ~ p21(X20)
                                                                                              | ! [X61] :
                                                                                                  ( ~ p120(X61)
                                                                                                  | p21(X61)
                                                                                                  | ~ r1(X20,X61) ) )
                                                                                            & ( p21(X20)
                                                                                              | ! [X62] :
                                                                                                  ( ~ p120(X62)
                                                                                                  | ~ p21(X62)
                                                                                                  | ~ r1(X20,X62) ) ) ) )
                                                                                        & ( ~ p100(X20)
                                                                                          | p101(X20)
                                                                                          | ( ? [X63] :
                                                                                                ( p101(X63)
                                                                                                & ~ p102(X63)
                                                                                                & p2(X63)
                                                                                                & r1(X20,X63) )
                                                                                            & ? [X64] :
                                                                                                ( p101(X64)
                                                                                                & ~ p102(X64)
                                                                                                & ~ p2(X64)
                                                                                                & r1(X20,X64) ) ) )
                                                                                        & ( ~ p101(X20)
                                                                                          | p102(X20)
                                                                                          | ( ? [X65] :
                                                                                                ( p102(X65)
                                                                                                & ~ p103(X65)
                                                                                                & p3(X65)
                                                                                                & r1(X20,X65) )
                                                                                            & ? [X66] :
                                                                                                ( p102(X66)
                                                                                                & ~ p103(X66)
                                                                                                & ~ p3(X66)
                                                                                                & r1(X20,X66) ) ) )
                                                                                        & ( ~ p102(X20)
                                                                                          | p103(X20)
                                                                                          | ( ? [X67] :
                                                                                                ( p103(X67)
                                                                                                & ~ p104(X67)
                                                                                                & p4(X67)
                                                                                                & r1(X20,X67) )
                                                                                            & ? [X68] :
                                                                                                ( p103(X68)
                                                                                                & ~ p104(X68)
                                                                                                & ~ p4(X68)
                                                                                                & r1(X20,X68) ) ) )
                                                                                        & ( ~ p103(X20)
                                                                                          | p104(X20)
                                                                                          | ( ? [X69] :
                                                                                                ( p104(X69)
                                                                                                & ~ p105(X69)
                                                                                                & p5(X69)
                                                                                                & r1(X20,X69) )
                                                                                            & ? [X70] :
                                                                                                ( p104(X70)
                                                                                                & ~ p105(X70)
                                                                                                & ~ p5(X70)
                                                                                                & r1(X20,X70) ) ) )
                                                                                        & ( ~ p104(X20)
                                                                                          | p105(X20)
                                                                                          | ( ? [X71] :
                                                                                                ( p105(X71)
                                                                                                & ~ p106(X71)
                                                                                                & p6(X71)
                                                                                                & r1(X20,X71) )
                                                                                            & ? [X72] :
                                                                                                ( p105(X72)
                                                                                                & ~ p106(X72)
                                                                                                & ~ p6(X72)
                                                                                                & r1(X20,X72) ) ) )
                                                                                        & ( ~ p105(X20)
                                                                                          | p106(X20)
                                                                                          | ( ? [X73] :
                                                                                                ( p106(X73)
                                                                                                & ~ p107(X73)
                                                                                                & p7(X73)
                                                                                                & r1(X20,X73) )
                                                                                            & ? [X74] :
                                                                                                ( p106(X74)
                                                                                                & ~ p107(X74)
                                                                                                & ~ p7(X74)
                                                                                                & r1(X20,X74) ) ) )
                                                                                        & ( ~ p106(X20)
                                                                                          | p107(X20)
                                                                                          | ( ? [X75] :
                                                                                                ( p107(X75)
                                                                                                & ~ p108(X75)
                                                                                                & p8(X75)
                                                                                                & r1(X20,X75) )
                                                                                            & ? [X76] :
                                                                                                ( p107(X76)
                                                                                                & ~ p108(X76)
                                                                                                & ~ p8(X76)
                                                                                                & r1(X20,X76) ) ) )
                                                                                        & ( ~ p107(X20)
                                                                                          | p108(X20)
                                                                                          | ( ? [X77] :
                                                                                                ( p108(X77)
                                                                                                & ~ p109(X77)
                                                                                                & p9(X77)
                                                                                                & r1(X20,X77) )
                                                                                            & ? [X78] :
                                                                                                ( p108(X78)
                                                                                                & ~ p109(X78)
                                                                                                & ~ p9(X78)
                                                                                                & r1(X20,X78) ) ) )
                                                                                        & ( ~ p108(X20)
                                                                                          | p109(X20)
                                                                                          | ( ? [X79] :
                                                                                                ( p109(X79)
                                                                                                & ~ p110(X79)
                                                                                                & p10(X79)
                                                                                                & r1(X20,X79) )
                                                                                            & ? [X80] :
                                                                                                ( p109(X80)
                                                                                                & ~ p110(X80)
                                                                                                & ~ p10(X80)
                                                                                                & r1(X20,X80) ) ) )
                                                                                        & ( ~ p109(X20)
                                                                                          | p110(X20)
                                                                                          | ( ? [X81] :
                                                                                                ( p110(X81)
                                                                                                & ~ p111(X81)
                                                                                                & p11(X81)
                                                                                                & r1(X20,X81) )
                                                                                            & ? [X82] :
                                                                                                ( p110(X82)
                                                                                                & ~ p111(X82)
                                                                                                & ~ p11(X82)
                                                                                                & r1(X20,X82) ) ) )
                                                                                        & ( ~ p110(X20)
                                                                                          | p111(X20)
                                                                                          | ( ? [X83] :
                                                                                                ( p111(X83)
                                                                                                & ~ p112(X83)
                                                                                                & p12(X83)
                                                                                                & r1(X20,X83) )
                                                                                            & ? [X84] :
                                                                                                ( p111(X84)
                                                                                                & ~ p112(X84)
                                                                                                & ~ p12(X84)
                                                                                                & r1(X20,X84) ) ) )
                                                                                        & ( ~ p111(X20)
                                                                                          | p112(X20)
                                                                                          | ( ? [X85] :
                                                                                                ( p112(X85)
                                                                                                & ~ p113(X85)
                                                                                                & p13(X85)
                                                                                                & r1(X20,X85) )
                                                                                            & ? [X86] :
                                                                                                ( p112(X86)
                                                                                                & ~ p113(X86)
                                                                                                & ~ p13(X86)
                                                                                                & r1(X20,X86) ) ) )
                                                                                        & ( ~ p112(X20)
                                                                                          | p113(X20)
                                                                                          | ( ? [X87] :
                                                                                                ( p113(X87)
                                                                                                & ~ p114(X87)
                                                                                                & p14(X87)
                                                                                                & r1(X20,X87) )
                                                                                            & ? [X88] :
                                                                                                ( p113(X88)
                                                                                                & ~ p114(X88)
                                                                                                & ~ p14(X88)
                                                                                                & r1(X20,X88) ) ) )
                                                                                        & ( ~ p113(X20)
                                                                                          | p114(X20)
                                                                                          | ( ? [X89] :
                                                                                                ( p114(X89)
                                                                                                & ~ p115(X89)
                                                                                                & p15(X89)
                                                                                                & r1(X20,X89) )
                                                                                            & ? [X90] :
                                                                                                ( p114(X90)
                                                                                                & ~ p115(X90)
                                                                                                & ~ p15(X90)
                                                                                                & r1(X20,X90) ) ) )
                                                                                        & ( ~ p114(X20)
                                                                                          | p115(X20)
                                                                                          | ( ? [X91] :
                                                                                                ( p115(X91)
                                                                                                & ~ p116(X91)
                                                                                                & p16(X91)
                                                                                                & r1(X20,X91) )
                                                                                            & ? [X92] :
                                                                                                ( p115(X92)
                                                                                                & ~ p116(X92)
                                                                                                & ~ p16(X92)
                                                                                                & r1(X20,X92) ) ) )
                                                                                        & ( ~ p115(X20)
                                                                                          | p116(X20)
                                                                                          | ( ? [X93] :
                                                                                                ( p116(X93)
                                                                                                & ~ p117(X93)
                                                                                                & p17(X93)
                                                                                                & r1(X20,X93) )
                                                                                            & ? [X94] :
                                                                                                ( p116(X94)
                                                                                                & ~ p117(X94)
                                                                                                & ~ p17(X94)
                                                                                                & r1(X20,X94) ) ) )
                                                                                        & ( ~ p116(X20)
                                                                                          | p117(X20)
                                                                                          | ( ? [X95] :
                                                                                                ( p117(X95)
                                                                                                & ~ p118(X95)
                                                                                                & p18(X95)
                                                                                                & r1(X20,X95) )
                                                                                            & ? [X96] :
                                                                                                ( p117(X96)
                                                                                                & ~ p118(X96)
                                                                                                & ~ p18(X96)
                                                                                                & r1(X20,X96) ) ) )
                                                                                        & ( ~ p117(X20)
                                                                                          | p118(X20)
                                                                                          | ( ? [X97] :
                                                                                                ( p118(X97)
                                                                                                & ~ p119(X97)
                                                                                                & p19(X97)
                                                                                                & r1(X20,X97) )
                                                                                            & ? [X98] :
                                                                                                ( p118(X98)
                                                                                                & ~ p119(X98)
                                                                                                & ~ p19(X98)
                                                                                                & r1(X20,X98) ) ) )
                                                                                        & ( ~ p118(X20)
                                                                                          | p119(X20)
                                                                                          | ( ? [X99] :
                                                                                                ( p119(X99)
                                                                                                & ~ p120(X99)
                                                                                                & p20(X99)
                                                                                                & r1(X20,X99) )
                                                                                            & ? [X100] :
                                                                                                ( p119(X100)
                                                                                                & ~ p120(X100)
                                                                                                & ~ p20(X100)
                                                                                                & r1(X20,X100) ) ) )
                                                                                        & ( ~ p119(X20)
                                                                                          | p120(X20)
                                                                                          | ( ? [X101] :
                                                                                                ( p120(X101)
                                                                                                & p21(X101)
                                                                                                & r1(X20,X101) )
                                                                                            & ? [X102] :
                                                                                                ( p120(X102)
                                                                                                & ~ p21(X102)
                                                                                                & r1(X20,X102) ) ) ) )
                                                                                      | ~ r1(X19,X20) )
                                                                                  | ~ r1(X18,X19) )
                                                                              | ~ r1(X17,X18) )
                                                                          | ~ r1(X16,X17) )
                                                                      | ~ r1(X15,X16) )
                                                                  | ~ r1(X14,X15) )
                                                              | ~ r1(X13,X14) )
                                                          | ~ r1(X12,X13) )
                                                      | ~ r1(X11,X12) )
                                                  | ~ r1(X10,X11) )
                                              | ~ r1(X9,X10) )
                                          | ~ r1(X8,X9) )
                                      | ~ r1(X7,X8) )
                                  | ~ r1(X6,X7) )
                              | ~ r1(X5,X6) )
                          | ~ r1(X4,X5) )
                      | ~ r1(X3,X4) )
                  | ~ r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) )
      & ! [X103] :
          ( ! [X104] :
              ( ! [X105] :
                  ( ! [X106] :
                      ( ! [X107] :
                          ( ! [X108] :
                              ( ! [X109] :
                                  ( ! [X110] :
                                      ( ! [X111] :
                                          ( ! [X112] :
                                              ( ! [X113] :
                                                  ( ! [X114] :
                                                      ( ! [X115] :
                                                          ( ! [X116] :
                                                              ( ! [X117] :
                                                                  ( ! [X118] :
                                                                      ( ! [X119] :
                                                                          ( ! [X120] :
                                                                              ( ! [X121] :
                                                                                  ( ! [X122] :
                                                                                      ( p8(X122)
                                                                                      | ~ r1(X121,X122) )
                                                                                  | ~ r1(X120,X121) )
                                                                              | ~ r1(X119,X120) )
                                                                          | ~ r1(X118,X119) )
                                                                      | ~ r1(X117,X118) )
                                                                  | ~ r1(X116,X117) )
                                                              | ~ r1(X115,X116) )
                                                          | ~ r1(X114,X115) )
                                                      | ~ r1(X113,X114) )
                                                  | ~ r1(X112,X113) )
                                              | ~ r1(X111,X112) )
                                          | ~ r1(X110,X111) )
                                      | ~ r1(X109,X110) )
                                  | ~ r1(X108,X109) )
                              | ~ r1(X107,X108) )
                          | ~ r1(X106,X107) )
                      | ~ r1(X105,X106) )
                  | ~ r1(X104,X105) )
              | ~ r1(X103,X104) )
          | ~ r1(X0,X103) ) ),
    inference(flattening,[],[f7]) ).

fof(f7,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ! [X9] :
                                          ( ! [X10] :
                                              ( ! [X11] :
                                                  ( ! [X12] :
                                                      ( ! [X13] :
                                                          ( ! [X14] :
                                                              ( ! [X15] :
                                                                  ( ! [X16] :
                                                                      ( ! [X17] :
                                                                          ( ! [X18] :
                                                                              ( ! [X19] :
                                                                                  ( ! [X20] :
                                                                                      ( ( ( ~ p101(X20)
                                                                                          | p100(X20) )
                                                                                        & ( ~ p102(X20)
                                                                                          | p101(X20) )
                                                                                        & ( ~ p103(X20)
                                                                                          | p102(X20) )
                                                                                        & ( ~ p104(X20)
                                                                                          | p103(X20) )
                                                                                        & ( ~ p105(X20)
                                                                                          | p104(X20) )
                                                                                        & ( ~ p106(X20)
                                                                                          | p105(X20) )
                                                                                        & ( ~ p107(X20)
                                                                                          | p106(X20) )
                                                                                        & ( ~ p108(X20)
                                                                                          | p107(X20) )
                                                                                        & ( ~ p109(X20)
                                                                                          | p108(X20) )
                                                                                        & ( ~ p110(X20)
                                                                                          | p109(X20) )
                                                                                        & ( ~ p111(X20)
                                                                                          | p110(X20) )
                                                                                        & ( ~ p112(X20)
                                                                                          | p111(X20) )
                                                                                        & ( ~ p113(X20)
                                                                                          | p112(X20) )
                                                                                        & ( ~ p114(X20)
                                                                                          | p113(X20) )
                                                                                        & ( ~ p115(X20)
                                                                                          | p114(X20) )
                                                                                        & ( ~ p116(X20)
                                                                                          | p115(X20) )
                                                                                        & ( ~ p117(X20)
                                                                                          | p116(X20) )
                                                                                        & ( ~ p118(X20)
                                                                                          | p117(X20) )
                                                                                        & ( ~ p119(X20)
                                                                                          | p118(X20) )
                                                                                        & ( ~ p120(X20)
                                                                                          | p119(X20) )
                                                                                        & ( ~ p100(X20)
                                                                                          | ( ( ~ p1(X20)
                                                                                              | ! [X21] :
                                                                                                  ( ~ p100(X21)
                                                                                                  | p1(X21)
                                                                                                  | ~ r1(X20,X21) ) )
                                                                                            & ( p1(X20)
                                                                                              | ! [X22] :
                                                                                                  ( ~ p100(X22)
                                                                                                  | ~ p1(X22)
                                                                                                  | ~ r1(X20,X22) ) ) ) )
                                                                                        & ( ~ p101(X20)
                                                                                          | ( ( ~ p2(X20)
                                                                                              | ! [X23] :
                                                                                                  ( ~ p101(X23)
                                                                                                  | p2(X23)
                                                                                                  | ~ r1(X20,X23) ) )
                                                                                            & ( p2(X20)
                                                                                              | ! [X24] :
                                                                                                  ( ~ p101(X24)
                                                                                                  | ~ p2(X24)
                                                                                                  | ~ r1(X20,X24) ) ) ) )
                                                                                        & ( ~ p102(X20)
                                                                                          | ( ( ~ p3(X20)
                                                                                              | ! [X25] :
                                                                                                  ( ~ p102(X25)
                                                                                                  | p3(X25)
                                                                                                  | ~ r1(X20,X25) ) )
                                                                                            & ( p3(X20)
                                                                                              | ! [X26] :
                                                                                                  ( ~ p102(X26)
                                                                                                  | ~ p3(X26)
                                                                                                  | ~ r1(X20,X26) ) ) ) )
                                                                                        & ( ~ p103(X20)
                                                                                          | ( ( ~ p4(X20)
                                                                                              | ! [X27] :
                                                                                                  ( ~ p103(X27)
                                                                                                  | p4(X27)
                                                                                                  | ~ r1(X20,X27) ) )
                                                                                            & ( p4(X20)
                                                                                              | ! [X28] :
                                                                                                  ( ~ p103(X28)
                                                                                                  | ~ p4(X28)
                                                                                                  | ~ r1(X20,X28) ) ) ) )
                                                                                        & ( ~ p104(X20)
                                                                                          | ( ( ~ p5(X20)
                                                                                              | ! [X29] :
                                                                                                  ( ~ p104(X29)
                                                                                                  | p5(X29)
                                                                                                  | ~ r1(X20,X29) ) )
                                                                                            & ( p5(X20)
                                                                                              | ! [X30] :
                                                                                                  ( ~ p104(X30)
                                                                                                  | ~ p5(X30)
                                                                                                  | ~ r1(X20,X30) ) ) ) )
                                                                                        & ( ~ p105(X20)
                                                                                          | ( ( ~ p6(X20)
                                                                                              | ! [X31] :
                                                                                                  ( ~ p105(X31)
                                                                                                  | p6(X31)
                                                                                                  | ~ r1(X20,X31) ) )
                                                                                            & ( p6(X20)
                                                                                              | ! [X32] :
                                                                                                  ( ~ p105(X32)
                                                                                                  | ~ p6(X32)
                                                                                                  | ~ r1(X20,X32) ) ) ) )
                                                                                        & ( ~ p106(X20)
                                                                                          | ( ( ~ p7(X20)
                                                                                              | ! [X33] :
                                                                                                  ( ~ p106(X33)
                                                                                                  | p7(X33)
                                                                                                  | ~ r1(X20,X33) ) )
                                                                                            & ( p7(X20)
                                                                                              | ! [X34] :
                                                                                                  ( ~ p106(X34)
                                                                                                  | ~ p7(X34)
                                                                                                  | ~ r1(X20,X34) ) ) ) )
                                                                                        & ( ~ p107(X20)
                                                                                          | ( ( ~ p8(X20)
                                                                                              | ! [X35] :
                                                                                                  ( ~ p107(X35)
                                                                                                  | p8(X35)
                                                                                                  | ~ r1(X20,X35) ) )
                                                                                            & ( p8(X20)
                                                                                              | ! [X36] :
                                                                                                  ( ~ p107(X36)
                                                                                                  | ~ p8(X36)
                                                                                                  | ~ r1(X20,X36) ) ) ) )
                                                                                        & ( ~ p108(X20)
                                                                                          | ( ( ~ p9(X20)
                                                                                              | ! [X37] :
                                                                                                  ( ~ p108(X37)
                                                                                                  | p9(X37)
                                                                                                  | ~ r1(X20,X37) ) )
                                                                                            & ( p9(X20)
                                                                                              | ! [X38] :
                                                                                                  ( ~ p108(X38)
                                                                                                  | ~ p9(X38)
                                                                                                  | ~ r1(X20,X38) ) ) ) )
                                                                                        & ( ~ p109(X20)
                                                                                          | ( ( ~ p10(X20)
                                                                                              | ! [X39] :
                                                                                                  ( ~ p109(X39)
                                                                                                  | p10(X39)
                                                                                                  | ~ r1(X20,X39) ) )
                                                                                            & ( p10(X20)
                                                                                              | ! [X40] :
                                                                                                  ( ~ p109(X40)
                                                                                                  | ~ p10(X40)
                                                                                                  | ~ r1(X20,X40) ) ) ) )
                                                                                        & ( ~ p110(X20)
                                                                                          | ( ( ~ p11(X20)
                                                                                              | ! [X41] :
                                                                                                  ( ~ p110(X41)
                                                                                                  | p11(X41)
                                                                                                  | ~ r1(X20,X41) ) )
                                                                                            & ( p11(X20)
                                                                                              | ! [X42] :
                                                                                                  ( ~ p110(X42)
                                                                                                  | ~ p11(X42)
                                                                                                  | ~ r1(X20,X42) ) ) ) )
                                                                                        & ( ~ p111(X20)
                                                                                          | ( ( ~ p12(X20)
                                                                                              | ! [X43] :
                                                                                                  ( ~ p111(X43)
                                                                                                  | p12(X43)
                                                                                                  | ~ r1(X20,X43) ) )
                                                                                            & ( p12(X20)
                                                                                              | ! [X44] :
                                                                                                  ( ~ p111(X44)
                                                                                                  | ~ p12(X44)
                                                                                                  | ~ r1(X20,X44) ) ) ) )
                                                                                        & ( ~ p112(X20)
                                                                                          | ( ( ~ p13(X20)
                                                                                              | ! [X45] :
                                                                                                  ( ~ p112(X45)
                                                                                                  | p13(X45)
                                                                                                  | ~ r1(X20,X45) ) )
                                                                                            & ( p13(X20)
                                                                                              | ! [X46] :
                                                                                                  ( ~ p112(X46)
                                                                                                  | ~ p13(X46)
                                                                                                  | ~ r1(X20,X46) ) ) ) )
                                                                                        & ( ~ p113(X20)
                                                                                          | ( ( ~ p14(X20)
                                                                                              | ! [X47] :
                                                                                                  ( ~ p113(X47)
                                                                                                  | p14(X47)
                                                                                                  | ~ r1(X20,X47) ) )
                                                                                            & ( p14(X20)
                                                                                              | ! [X48] :
                                                                                                  ( ~ p113(X48)
                                                                                                  | ~ p14(X48)
                                                                                                  | ~ r1(X20,X48) ) ) ) )
                                                                                        & ( ~ p114(X20)
                                                                                          | ( ( ~ p15(X20)
                                                                                              | ! [X49] :
                                                                                                  ( ~ p114(X49)
                                                                                                  | p15(X49)
                                                                                                  | ~ r1(X20,X49) ) )
                                                                                            & ( p15(X20)
                                                                                              | ! [X50] :
                                                                                                  ( ~ p114(X50)
                                                                                                  | ~ p15(X50)
                                                                                                  | ~ r1(X20,X50) ) ) ) )
                                                                                        & ( ~ p115(X20)
                                                                                          | ( ( ~ p16(X20)
                                                                                              | ! [X51] :
                                                                                                  ( ~ p115(X51)
                                                                                                  | p16(X51)
                                                                                                  | ~ r1(X20,X51) ) )
                                                                                            & ( p16(X20)
                                                                                              | ! [X52] :
                                                                                                  ( ~ p115(X52)
                                                                                                  | ~ p16(X52)
                                                                                                  | ~ r1(X20,X52) ) ) ) )
                                                                                        & ( ~ p116(X20)
                                                                                          | ( ( ~ p17(X20)
                                                                                              | ! [X53] :
                                                                                                  ( ~ p116(X53)
                                                                                                  | p17(X53)
                                                                                                  | ~ r1(X20,X53) ) )
                                                                                            & ( p17(X20)
                                                                                              | ! [X54] :
                                                                                                  ( ~ p116(X54)
                                                                                                  | ~ p17(X54)
                                                                                                  | ~ r1(X20,X54) ) ) ) )
                                                                                        & ( ~ p117(X20)
                                                                                          | ( ( ~ p18(X20)
                                                                                              | ! [X55] :
                                                                                                  ( ~ p117(X55)
                                                                                                  | p18(X55)
                                                                                                  | ~ r1(X20,X55) ) )
                                                                                            & ( p18(X20)
                                                                                              | ! [X56] :
                                                                                                  ( ~ p117(X56)
                                                                                                  | ~ p18(X56)
                                                                                                  | ~ r1(X20,X56) ) ) ) )
                                                                                        & ( ~ p118(X20)
                                                                                          | ( ( ~ p19(X20)
                                                                                              | ! [X57] :
                                                                                                  ( ~ p118(X57)
                                                                                                  | p19(X57)
                                                                                                  | ~ r1(X20,X57) ) )
                                                                                            & ( p19(X20)
                                                                                              | ! [X58] :
                                                                                                  ( ~ p118(X58)
                                                                                                  | ~ p19(X58)
                                                                                                  | ~ r1(X20,X58) ) ) ) )
                                                                                        & ( ~ p119(X20)
                                                                                          | ( ( ~ p20(X20)
                                                                                              | ! [X59] :
                                                                                                  ( ~ p119(X59)
                                                                                                  | p20(X59)
                                                                                                  | ~ r1(X20,X59) ) )
                                                                                            & ( p20(X20)
                                                                                              | ! [X60] :
                                                                                                  ( ~ p119(X60)
                                                                                                  | ~ p20(X60)
                                                                                                  | ~ r1(X20,X60) ) ) ) )
                                                                                        & ( ~ p120(X20)
                                                                                          | ( ( ~ p21(X20)
                                                                                              | ! [X61] :
                                                                                                  ( ~ p120(X61)
                                                                                                  | p21(X61)
                                                                                                  | ~ r1(X20,X61) ) )
                                                                                            & ( p21(X20)
                                                                                              | ! [X62] :
                                                                                                  ( ~ p120(X62)
                                                                                                  | ~ p21(X62)
                                                                                                  | ~ r1(X20,X62) ) ) ) )
                                                                                        & ( ~ p100(X20)
                                                                                          | p101(X20)
                                                                                          | ( ? [X63] :
                                                                                                ( p101(X63)
                                                                                                & ~ p102(X63)
                                                                                                & p2(X63)
                                                                                                & r1(X20,X63) )
                                                                                            & ? [X64] :
                                                                                                ( p101(X64)
                                                                                                & ~ p102(X64)
                                                                                                & ~ p2(X64)
                                                                                                & r1(X20,X64) ) ) )
                                                                                        & ( ~ p101(X20)
                                                                                          | p102(X20)
                                                                                          | ( ? [X65] :
                                                                                                ( p102(X65)
                                                                                                & ~ p103(X65)
                                                                                                & p3(X65)
                                                                                                & r1(X20,X65) )
                                                                                            & ? [X66] :
                                                                                                ( p102(X66)
                                                                                                & ~ p103(X66)
                                                                                                & ~ p3(X66)
                                                                                                & r1(X20,X66) ) ) )
                                                                                        & ( ~ p102(X20)
                                                                                          | p103(X20)
                                                                                          | ( ? [X67] :
                                                                                                ( p103(X67)
                                                                                                & ~ p104(X67)
                                                                                                & p4(X67)
                                                                                                & r1(X20,X67) )
                                                                                            & ? [X68] :
                                                                                                ( p103(X68)
                                                                                                & ~ p104(X68)
                                                                                                & ~ p4(X68)
                                                                                                & r1(X20,X68) ) ) )
                                                                                        & ( ~ p103(X20)
                                                                                          | p104(X20)
                                                                                          | ( ? [X69] :
                                                                                                ( p104(X69)
                                                                                                & ~ p105(X69)
                                                                                                & p5(X69)
                                                                                                & r1(X20,X69) )
                                                                                            & ? [X70] :
                                                                                                ( p104(X70)
                                                                                                & ~ p105(X70)
                                                                                                & ~ p5(X70)
                                                                                                & r1(X20,X70) ) ) )
                                                                                        & ( ~ p104(X20)
                                                                                          | p105(X20)
                                                                                          | ( ? [X71] :
                                                                                                ( p105(X71)
                                                                                                & ~ p106(X71)
                                                                                                & p6(X71)
                                                                                                & r1(X20,X71) )
                                                                                            & ? [X72] :
                                                                                                ( p105(X72)
                                                                                                & ~ p106(X72)
                                                                                                & ~ p6(X72)
                                                                                                & r1(X20,X72) ) ) )
                                                                                        & ( ~ p105(X20)
                                                                                          | p106(X20)
                                                                                          | ( ? [X73] :
                                                                                                ( p106(X73)
                                                                                                & ~ p107(X73)
                                                                                                & p7(X73)
                                                                                                & r1(X20,X73) )
                                                                                            & ? [X74] :
                                                                                                ( p106(X74)
                                                                                                & ~ p107(X74)
                                                                                                & ~ p7(X74)
                                                                                                & r1(X20,X74) ) ) )
                                                                                        & ( ~ p106(X20)
                                                                                          | p107(X20)
                                                                                          | ( ? [X75] :
                                                                                                ( p107(X75)
                                                                                                & ~ p108(X75)
                                                                                                & p8(X75)
                                                                                                & r1(X20,X75) )
                                                                                            & ? [X76] :
                                                                                                ( p107(X76)
                                                                                                & ~ p108(X76)
                                                                                                & ~ p8(X76)
                                                                                                & r1(X20,X76) ) ) )
                                                                                        & ( ~ p107(X20)
                                                                                          | p108(X20)
                                                                                          | ( ? [X77] :
                                                                                                ( p108(X77)
                                                                                                & ~ p109(X77)
                                                                                                & p9(X77)
                                                                                                & r1(X20,X77) )
                                                                                            & ? [X78] :
                                                                                                ( p108(X78)
                                                                                                & ~ p109(X78)
                                                                                                & ~ p9(X78)
                                                                                                & r1(X20,X78) ) ) )
                                                                                        & ( ~ p108(X20)
                                                                                          | p109(X20)
                                                                                          | ( ? [X79] :
                                                                                                ( p109(X79)
                                                                                                & ~ p110(X79)
                                                                                                & p10(X79)
                                                                                                & r1(X20,X79) )
                                                                                            & ? [X80] :
                                                                                                ( p109(X80)
                                                                                                & ~ p110(X80)
                                                                                                & ~ p10(X80)
                                                                                                & r1(X20,X80) ) ) )
                                                                                        & ( ~ p109(X20)
                                                                                          | p110(X20)
                                                                                          | ( ? [X81] :
                                                                                                ( p110(X81)
                                                                                                & ~ p111(X81)
                                                                                                & p11(X81)
                                                                                                & r1(X20,X81) )
                                                                                            & ? [X82] :
                                                                                                ( p110(X82)
                                                                                                & ~ p111(X82)
                                                                                                & ~ p11(X82)
                                                                                                & r1(X20,X82) ) ) )
                                                                                        & ( ~ p110(X20)
                                                                                          | p111(X20)
                                                                                          | ( ? [X83] :
                                                                                                ( p111(X83)
                                                                                                & ~ p112(X83)
                                                                                                & p12(X83)
                                                                                                & r1(X20,X83) )
                                                                                            & ? [X84] :
                                                                                                ( p111(X84)
                                                                                                & ~ p112(X84)
                                                                                                & ~ p12(X84)
                                                                                                & r1(X20,X84) ) ) )
                                                                                        & ( ~ p111(X20)
                                                                                          | p112(X20)
                                                                                          | ( ? [X85] :
                                                                                                ( p112(X85)
                                                                                                & ~ p113(X85)
                                                                                                & p13(X85)
                                                                                                & r1(X20,X85) )
                                                                                            & ? [X86] :
                                                                                                ( p112(X86)
                                                                                                & ~ p113(X86)
                                                                                                & ~ p13(X86)
                                                                                                & r1(X20,X86) ) ) )
                                                                                        & ( ~ p112(X20)
                                                                                          | p113(X20)
                                                                                          | ( ? [X87] :
                                                                                                ( p113(X87)
                                                                                                & ~ p114(X87)
                                                                                                & p14(X87)
                                                                                                & r1(X20,X87) )
                                                                                            & ? [X88] :
                                                                                                ( p113(X88)
                                                                                                & ~ p114(X88)
                                                                                                & ~ p14(X88)
                                                                                                & r1(X20,X88) ) ) )
                                                                                        & ( ~ p113(X20)
                                                                                          | p114(X20)
                                                                                          | ( ? [X89] :
                                                                                                ( p114(X89)
                                                                                                & ~ p115(X89)
                                                                                                & p15(X89)
                                                                                                & r1(X20,X89) )
                                                                                            & ? [X90] :
                                                                                                ( p114(X90)
                                                                                                & ~ p115(X90)
                                                                                                & ~ p15(X90)
                                                                                                & r1(X20,X90) ) ) )
                                                                                        & ( ~ p114(X20)
                                                                                          | p115(X20)
                                                                                          | ( ? [X91] :
                                                                                                ( p115(X91)
                                                                                                & ~ p116(X91)
                                                                                                & p16(X91)
                                                                                                & r1(X20,X91) )
                                                                                            & ? [X92] :
                                                                                                ( p115(X92)
                                                                                                & ~ p116(X92)
                                                                                                & ~ p16(X92)
                                                                                                & r1(X20,X92) ) ) )
                                                                                        & ( ~ p115(X20)
                                                                                          | p116(X20)
                                                                                          | ( ? [X93] :
                                                                                                ( p116(X93)
                                                                                                & ~ p117(X93)
                                                                                                & p17(X93)
                                                                                                & r1(X20,X93) )
                                                                                            & ? [X94] :
                                                                                                ( p116(X94)
                                                                                                & ~ p117(X94)
                                                                                                & ~ p17(X94)
                                                                                                & r1(X20,X94) ) ) )
                                                                                        & ( ~ p116(X20)
                                                                                          | p117(X20)
                                                                                          | ( ? [X95] :
                                                                                                ( p117(X95)
                                                                                                & ~ p118(X95)
                                                                                                & p18(X95)
                                                                                                & r1(X20,X95) )
                                                                                            & ? [X96] :
                                                                                                ( p117(X96)
                                                                                                & ~ p118(X96)
                                                                                                & ~ p18(X96)
                                                                                                & r1(X20,X96) ) ) )
                                                                                        & ( ~ p117(X20)
                                                                                          | p118(X20)
                                                                                          | ( ? [X97] :
                                                                                                ( p118(X97)
                                                                                                & ~ p119(X97)
                                                                                                & p19(X97)
                                                                                                & r1(X20,X97) )
                                                                                            & ? [X98] :
                                                                                                ( p118(X98)
                                                                                                & ~ p119(X98)
                                                                                                & ~ p19(X98)
                                                                                                & r1(X20,X98) ) ) )
                                                                                        & ( ~ p118(X20)
                                                                                          | p119(X20)
                                                                                          | ( ? [X99] :
                                                                                                ( p119(X99)
                                                                                                & ~ p120(X99)
                                                                                                & p20(X99)
                                                                                                & r1(X20,X99) )
                                                                                            & ? [X100] :
                                                                                                ( p119(X100)
                                                                                                & ~ p120(X100)
                                                                                                & ~ p20(X100)
                                                                                                & r1(X20,X100) ) ) )
                                                                                        & ( ~ p119(X20)
                                                                                          | p120(X20)
                                                                                          | ( ? [X101] :
                                                                                                ( p120(X101)
                                                                                                & p21(X101)
                                                                                                & r1(X20,X101) )
                                                                                            & ? [X102] :
                                                                                                ( p120(X102)
                                                                                                & ~ p21(X102)
                                                                                                & r1(X20,X102) ) ) ) )
                                                                                      | ~ r1(X19,X20) )
                                                                                  | ~ r1(X18,X19) )
                                                                              | ~ r1(X17,X18) )
                                                                          | ~ r1(X16,X17) )
                                                                      | ~ r1(X15,X16) )
                                                                  | ~ r1(X14,X15) )
                                                              | ~ r1(X13,X14) )
                                                          | ~ r1(X12,X13) )
                                                      | ~ r1(X11,X12) )
                                                  | ~ r1(X10,X11) )
                                              | ~ r1(X9,X10) )
                                          | ~ r1(X8,X9) )
                                      | ~ r1(X7,X8) )
                                  | ~ r1(X6,X7) )
                              | ~ r1(X5,X6) )
                          | ~ r1(X4,X5) )
                      | ~ r1(X3,X4) )
                  | ~ r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) )
      & ! [X103] :
          ( ! [X104] :
              ( ! [X105] :
                  ( ! [X106] :
                      ( ! [X107] :
                          ( ! [X108] :
                              ( ! [X109] :
                                  ( ! [X110] :
                                      ( ! [X111] :
                                          ( ! [X112] :
                                              ( ! [X113] :
                                                  ( ! [X114] :
                                                      ( ! [X115] :
                                                          ( ! [X116] :
                                                              ( ! [X117] :
                                                                  ( ! [X118] :
                                                                      ( ! [X119] :
                                                                          ( ! [X120] :
                                                                              ( ! [X121] :
                                                                                  ( ! [X122] :
                                                                                      ( p8(X122)
                                                                                      | ~ r1(X121,X122) )
                                                                                  | ~ r1(X120,X121) )
                                                                              | ~ r1(X119,X120) )
                                                                          | ~ r1(X118,X119) )
                                                                      | ~ r1(X117,X118) )
                                                                  | ~ r1(X116,X117) )
                                                              | ~ r1(X115,X116) )
                                                          | ~ r1(X114,X115) )
                                                      | ~ r1(X113,X114) )
                                                  | ~ r1(X112,X113) )
                                              | ~ r1(X111,X112) )
                                          | ~ r1(X110,X111) )
                                      | ~ r1(X109,X110) )
                                  | ~ r1(X108,X109) )
                              | ~ r1(X107,X108) )
                          | ~ r1(X106,X107) )
                      | ~ r1(X105,X106) )
                  | ~ r1(X104,X105) )
              | ~ r1(X103,X104) )
          | ~ r1(X0,X103) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ? [X0] :
      ~ ( ~ ( p100(X0)
            & ~ p101(X0)
            & ! [X1] :
                ( ! [X2] :
                    ( ! [X3] :
                        ( ! [X4] :
                            ( ! [X5] :
                                ( ! [X6] :
                                    ( ! [X7] :
                                        ( ! [X8] :
                                            ( ! [X9] :
                                                ( ! [X10] :
                                                    ( ! [X11] :
                                                        ( ! [X12] :
                                                            ( ! [X13] :
                                                                ( ! [X14] :
                                                                    ( ! [X15] :
                                                                        ( ! [X16] :
                                                                            ( ! [X17] :
                                                                                ( ! [X18] :
                                                                                    ( ! [X19] :
                                                                                        ( ! [X20] :
                                                                                            ( ( ( ~ p101(X20)
                                                                                                | p100(X20) )
                                                                                              & ( ~ p102(X20)
                                                                                                | p101(X20) )
                                                                                              & ( ~ p103(X20)
                                                                                                | p102(X20) )
                                                                                              & ( ~ p104(X20)
                                                                                                | p103(X20) )
                                                                                              & ( ~ p105(X20)
                                                                                                | p104(X20) )
                                                                                              & ( ~ p106(X20)
                                                                                                | p105(X20) )
                                                                                              & ( ~ p107(X20)
                                                                                                | p106(X20) )
                                                                                              & ( ~ p108(X20)
                                                                                                | p107(X20) )
                                                                                              & ( ~ p109(X20)
                                                                                                | p108(X20) )
                                                                                              & ( ~ p110(X20)
                                                                                                | p109(X20) )
                                                                                              & ( ~ p111(X20)
                                                                                                | p110(X20) )
                                                                                              & ( ~ p112(X20)
                                                                                                | p111(X20) )
                                                                                              & ( ~ p113(X20)
                                                                                                | p112(X20) )
                                                                                              & ( ~ p114(X20)
                                                                                                | p113(X20) )
                                                                                              & ( ~ p115(X20)
                                                                                                | p114(X20) )
                                                                                              & ( ~ p116(X20)
                                                                                                | p115(X20) )
                                                                                              & ( ~ p117(X20)
                                                                                                | p116(X20) )
                                                                                              & ( ~ p118(X20)
                                                                                                | p117(X20) )
                                                                                              & ( ~ p119(X20)
                                                                                                | p118(X20) )
                                                                                              & ( ~ p120(X20)
                                                                                                | p119(X20) )
                                                                                              & ( ~ p100(X20)
                                                                                                | ( ( ~ p1(X20)
                                                                                                    | ! [X21] :
                                                                                                        ( ~ p100(X21)
                                                                                                        | p1(X21)
                                                                                                        | ~ r1(X20,X21) ) )
                                                                                                  & ( p1(X20)
                                                                                                    | ! [X22] :
                                                                                                        ( ~ p100(X22)
                                                                                                        | ~ p1(X22)
                                                                                                        | ~ r1(X20,X22) ) ) ) )
                                                                                              & ( ~ p101(X20)
                                                                                                | ( ( ~ p2(X20)
                                                                                                    | ! [X23] :
                                                                                                        ( ~ p101(X23)
                                                                                                        | p2(X23)
                                                                                                        | ~ r1(X20,X23) ) )
                                                                                                  & ( p2(X20)
                                                                                                    | ! [X24] :
                                                                                                        ( ~ p101(X24)
                                                                                                        | ~ p2(X24)
                                                                                                        | ~ r1(X20,X24) ) ) ) )
                                                                                              & ( ~ p102(X20)
                                                                                                | ( ( ~ p3(X20)
                                                                                                    | ! [X25] :
                                                                                                        ( ~ p102(X25)
                                                                                                        | p3(X25)
                                                                                                        | ~ r1(X20,X25) ) )
                                                                                                  & ( p3(X20)
                                                                                                    | ! [X26] :
                                                                                                        ( ~ p102(X26)
                                                                                                        | ~ p3(X26)
                                                                                                        | ~ r1(X20,X26) ) ) ) )
                                                                                              & ( ~ p103(X20)
                                                                                                | ( ( ~ p4(X20)
                                                                                                    | ! [X27] :
                                                                                                        ( ~ p103(X27)
                                                                                                        | p4(X27)
                                                                                                        | ~ r1(X20,X27) ) )
                                                                                                  & ( p4(X20)
                                                                                                    | ! [X28] :
                                                                                                        ( ~ p103(X28)
                                                                                                        | ~ p4(X28)
                                                                                                        | ~ r1(X20,X28) ) ) ) )
                                                                                              & ( ~ p104(X20)
                                                                                                | ( ( ~ p5(X20)
                                                                                                    | ! [X29] :
                                                                                                        ( ~ p104(X29)
                                                                                                        | p5(X29)
                                                                                                        | ~ r1(X20,X29) ) )
                                                                                                  & ( p5(X20)
                                                                                                    | ! [X30] :
                                                                                                        ( ~ p104(X30)
                                                                                                        | ~ p5(X30)
                                                                                                        | ~ r1(X20,X30) ) ) ) )
                                                                                              & ( ~ p105(X20)
                                                                                                | ( ( ~ p6(X20)
                                                                                                    | ! [X31] :
                                                                                                        ( ~ p105(X31)
                                                                                                        | p6(X31)
                                                                                                        | ~ r1(X20,X31) ) )
                                                                                                  & ( p6(X20)
                                                                                                    | ! [X32] :
                                                                                                        ( ~ p105(X32)
                                                                                                        | ~ p6(X32)
                                                                                                        | ~ r1(X20,X32) ) ) ) )
                                                                                              & ( ~ p106(X20)
                                                                                                | ( ( ~ p7(X20)
                                                                                                    | ! [X33] :
                                                                                                        ( ~ p106(X33)
                                                                                                        | p7(X33)
                                                                                                        | ~ r1(X20,X33) ) )
                                                                                                  & ( p7(X20)
                                                                                                    | ! [X34] :
                                                                                                        ( ~ p106(X34)
                                                                                                        | ~ p7(X34)
                                                                                                        | ~ r1(X20,X34) ) ) ) )
                                                                                              & ( ~ p107(X20)
                                                                                                | ( ( ~ p8(X20)
                                                                                                    | ! [X35] :
                                                                                                        ( ~ p107(X35)
                                                                                                        | p8(X35)
                                                                                                        | ~ r1(X20,X35) ) )
                                                                                                  & ( p8(X20)
                                                                                                    | ! [X36] :
                                                                                                        ( ~ p107(X36)
                                                                                                        | ~ p8(X36)
                                                                                                        | ~ r1(X20,X36) ) ) ) )
                                                                                              & ( ~ p108(X20)
                                                                                                | ( ( ~ p9(X20)
                                                                                                    | ! [X37] :
                                                                                                        ( ~ p108(X37)
                                                                                                        | p9(X37)
                                                                                                        | ~ r1(X20,X37) ) )
                                                                                                  & ( p9(X20)
                                                                                                    | ! [X38] :
                                                                                                        ( ~ p108(X38)
                                                                                                        | ~ p9(X38)
                                                                                                        | ~ r1(X20,X38) ) ) ) )
                                                                                              & ( ~ p109(X20)
                                                                                                | ( ( ~ p10(X20)
                                                                                                    | ! [X39] :
                                                                                                        ( ~ p109(X39)
                                                                                                        | p10(X39)
                                                                                                        | ~ r1(X20,X39) ) )
                                                                                                  & ( p10(X20)
                                                                                                    | ! [X40] :
                                                                                                        ( ~ p109(X40)
                                                                                                        | ~ p10(X40)
                                                                                                        | ~ r1(X20,X40) ) ) ) )
                                                                                              & ( ~ p110(X20)
                                                                                                | ( ( ~ p11(X20)
                                                                                                    | ! [X41] :
                                                                                                        ( ~ p110(X41)
                                                                                                        | p11(X41)
                                                                                                        | ~ r1(X20,X41) ) )
                                                                                                  & ( p11(X20)
                                                                                                    | ! [X42] :
                                                                                                        ( ~ p110(X42)
                                                                                                        | ~ p11(X42)
                                                                                                        | ~ r1(X20,X42) ) ) ) )
                                                                                              & ( ~ p111(X20)
                                                                                                | ( ( ~ p12(X20)
                                                                                                    | ! [X43] :
                                                                                                        ( ~ p111(X43)
                                                                                                        | p12(X43)
                                                                                                        | ~ r1(X20,X43) ) )
                                                                                                  & ( p12(X20)
                                                                                                    | ! [X44] :
                                                                                                        ( ~ p111(X44)
                                                                                                        | ~ p12(X44)
                                                                                                        | ~ r1(X20,X44) ) ) ) )
                                                                                              & ( ~ p112(X20)
                                                                                                | ( ( ~ p13(X20)
                                                                                                    | ! [X45] :
                                                                                                        ( ~ p112(X45)
                                                                                                        | p13(X45)
                                                                                                        | ~ r1(X20,X45) ) )
                                                                                                  & ( p13(X20)
                                                                                                    | ! [X46] :
                                                                                                        ( ~ p112(X46)
                                                                                                        | ~ p13(X46)
                                                                                                        | ~ r1(X20,X46) ) ) ) )
                                                                                              & ( ~ p113(X20)
                                                                                                | ( ( ~ p14(X20)
                                                                                                    | ! [X47] :
                                                                                                        ( ~ p113(X47)
                                                                                                        | p14(X47)
                                                                                                        | ~ r1(X20,X47) ) )
                                                                                                  & ( p14(X20)
                                                                                                    | ! [X48] :
                                                                                                        ( ~ p113(X48)
                                                                                                        | ~ p14(X48)
                                                                                                        | ~ r1(X20,X48) ) ) ) )
                                                                                              & ( ~ p114(X20)
                                                                                                | ( ( ~ p15(X20)
                                                                                                    | ! [X49] :
                                                                                                        ( ~ p114(X49)
                                                                                                        | p15(X49)
                                                                                                        | ~ r1(X20,X49) ) )
                                                                                                  & ( p15(X20)
                                                                                                    | ! [X50] :
                                                                                                        ( ~ p114(X50)
                                                                                                        | ~ p15(X50)
                                                                                                        | ~ r1(X20,X50) ) ) ) )
                                                                                              & ( ~ p115(X20)
                                                                                                | ( ( ~ p16(X20)
                                                                                                    | ! [X51] :
                                                                                                        ( ~ p115(X51)
                                                                                                        | p16(X51)
                                                                                                        | ~ r1(X20,X51) ) )
                                                                                                  & ( p16(X20)
                                                                                                    | ! [X52] :
                                                                                                        ( ~ p115(X52)
                                                                                                        | ~ p16(X52)
                                                                                                        | ~ r1(X20,X52) ) ) ) )
                                                                                              & ( ~ p116(X20)
                                                                                                | ( ( ~ p17(X20)
                                                                                                    | ! [X53] :
                                                                                                        ( ~ p116(X53)
                                                                                                        | p17(X53)
                                                                                                        | ~ r1(X20,X53) ) )
                                                                                                  & ( p17(X20)
                                                                                                    | ! [X54] :
                                                                                                        ( ~ p116(X54)
                                                                                                        | ~ p17(X54)
                                                                                                        | ~ r1(X20,X54) ) ) ) )
                                                                                              & ( ~ p117(X20)
                                                                                                | ( ( ~ p18(X20)
                                                                                                    | ! [X55] :
                                                                                                        ( ~ p117(X55)
                                                                                                        | p18(X55)
                                                                                                        | ~ r1(X20,X55) ) )
                                                                                                  & ( p18(X20)
                                                                                                    | ! [X56] :
                                                                                                        ( ~ p117(X56)
                                                                                                        | ~ p18(X56)
                                                                                                        | ~ r1(X20,X56) ) ) ) )
                                                                                              & ( ~ p118(X20)
                                                                                                | ( ( ~ p19(X20)
                                                                                                    | ! [X57] :
                                                                                                        ( ~ p118(X57)
                                                                                                        | p19(X57)
                                                                                                        | ~ r1(X20,X57) ) )
                                                                                                  & ( p19(X20)
                                                                                                    | ! [X58] :
                                                                                                        ( ~ p118(X58)
                                                                                                        | ~ p19(X58)
                                                                                                        | ~ r1(X20,X58) ) ) ) )
                                                                                              & ( ~ p119(X20)
                                                                                                | ( ( ~ p20(X20)
                                                                                                    | ! [X59] :
                                                                                                        ( ~ p119(X59)
                                                                                                        | p20(X59)
                                                                                                        | ~ r1(X20,X59) ) )
                                                                                                  & ( p20(X20)
                                                                                                    | ! [X60] :
                                                                                                        ( ~ p119(X60)
                                                                                                        | ~ p20(X60)
                                                                                                        | ~ r1(X20,X60) ) ) ) )
                                                                                              & ( ~ p120(X20)
                                                                                                | ( ( ~ p21(X20)
                                                                                                    | ! [X61] :
                                                                                                        ( ~ p120(X61)
                                                                                                        | p21(X61)
                                                                                                        | ~ r1(X20,X61) ) )
                                                                                                  & ( p21(X20)
                                                                                                    | ! [X62] :
                                                                                                        ( ~ p120(X62)
                                                                                                        | ~ p21(X62)
                                                                                                        | ~ r1(X20,X62) ) ) ) )
                                                                                              & ( ~ ( p100(X20)
                                                                                                    & ~ p101(X20) )
                                                                                                | ( ~ ! [X63] :
                                                                                                        ( ~ ( p101(X63)
                                                                                                            & ~ p102(X63)
                                                                                                            & p2(X63) )
                                                                                                        | ~ r1(X20,X63) )
                                                                                                  & ~ ! [X64] :
                                                                                                        ( ~ ( p101(X64)
                                                                                                            & ~ p102(X64)
                                                                                                            & ~ p2(X64) )
                                                                                                        | ~ r1(X20,X64) ) ) )
                                                                                              & ( ~ ( p101(X20)
                                                                                                    & ~ p102(X20) )
                                                                                                | ( ~ ! [X65] :
                                                                                                        ( ~ ( p102(X65)
                                                                                                            & ~ p103(X65)
                                                                                                            & p3(X65) )
                                                                                                        | ~ r1(X20,X65) )
                                                                                                  & ~ ! [X66] :
                                                                                                        ( ~ ( p102(X66)
                                                                                                            & ~ p103(X66)
                                                                                                            & ~ p3(X66) )
                                                                                                        | ~ r1(X20,X66) ) ) )
                                                                                              & ( ~ ( p102(X20)
                                                                                                    & ~ p103(X20) )
                                                                                                | ( ~ ! [X67] :
                                                                                                        ( ~ ( p103(X67)
                                                                                                            & ~ p104(X67)
                                                                                                            & p4(X67) )
                                                                                                        | ~ r1(X20,X67) )
                                                                                                  & ~ ! [X68] :
                                                                                                        ( ~ ( p103(X68)
                                                                                                            & ~ p104(X68)
                                                                                                            & ~ p4(X68) )
                                                                                                        | ~ r1(X20,X68) ) ) )
                                                                                              & ( ~ ( p103(X20)
                                                                                                    & ~ p104(X20) )
                                                                                                | ( ~ ! [X69] :
                                                                                                        ( ~ ( p104(X69)
                                                                                                            & ~ p105(X69)
                                                                                                            & p5(X69) )
                                                                                                        | ~ r1(X20,X69) )
                                                                                                  & ~ ! [X70] :
                                                                                                        ( ~ ( p104(X70)
                                                                                                            & ~ p105(X70)
                                                                                                            & ~ p5(X70) )
                                                                                                        | ~ r1(X20,X70) ) ) )
                                                                                              & ( ~ ( p104(X20)
                                                                                                    & ~ p105(X20) )
                                                                                                | ( ~ ! [X71] :
                                                                                                        ( ~ ( p105(X71)
                                                                                                            & ~ p106(X71)
                                                                                                            & p6(X71) )
                                                                                                        | ~ r1(X20,X71) )
                                                                                                  & ~ ! [X72] :
                                                                                                        ( ~ ( p105(X72)
                                                                                                            & ~ p106(X72)
                                                                                                            & ~ p6(X72) )
                                                                                                        | ~ r1(X20,X72) ) ) )
                                                                                              & ( ~ ( p105(X20)
                                                                                                    & ~ p106(X20) )
                                                                                                | ( ~ ! [X73] :
                                                                                                        ( ~ ( p106(X73)
                                                                                                            & ~ p107(X73)
                                                                                                            & p7(X73) )
                                                                                                        | ~ r1(X20,X73) )
                                                                                                  & ~ ! [X74] :
                                                                                                        ( ~ ( p106(X74)
                                                                                                            & ~ p107(X74)
                                                                                                            & ~ p7(X74) )
                                                                                                        | ~ r1(X20,X74) ) ) )
                                                                                              & ( ~ ( p106(X20)
                                                                                                    & ~ p107(X20) )
                                                                                                | ( ~ ! [X75] :
                                                                                                        ( ~ ( p107(X75)
                                                                                                            & ~ p108(X75)
                                                                                                            & p8(X75) )
                                                                                                        | ~ r1(X20,X75) )
                                                                                                  & ~ ! [X76] :
                                                                                                        ( ~ ( p107(X76)
                                                                                                            & ~ p108(X76)
                                                                                                            & ~ p8(X76) )
                                                                                                        | ~ r1(X20,X76) ) ) )
                                                                                              & ( ~ ( p107(X20)
                                                                                                    & ~ p108(X20) )
                                                                                                | ( ~ ! [X77] :
                                                                                                        ( ~ ( p108(X77)
                                                                                                            & ~ p109(X77)
                                                                                                            & p9(X77) )
                                                                                                        | ~ r1(X20,X77) )
                                                                                                  & ~ ! [X78] :
                                                                                                        ( ~ ( p108(X78)
                                                                                                            & ~ p109(X78)
                                                                                                            & ~ p9(X78) )
                                                                                                        | ~ r1(X20,X78) ) ) )
                                                                                              & ( ~ ( p108(X20)
                                                                                                    & ~ p109(X20) )
                                                                                                | ( ~ ! [X79] :
                                                                                                        ( ~ ( p109(X79)
                                                                                                            & ~ p110(X79)
                                                                                                            & p10(X79) )
                                                                                                        | ~ r1(X20,X79) )
                                                                                                  & ~ ! [X80] :
                                                                                                        ( ~ ( p109(X80)
                                                                                                            & ~ p110(X80)
                                                                                                            & ~ p10(X80) )
                                                                                                        | ~ r1(X20,X80) ) ) )
                                                                                              & ( ~ ( p109(X20)
                                                                                                    & ~ p110(X20) )
                                                                                                | ( ~ ! [X81] :
                                                                                                        ( ~ ( p110(X81)
                                                                                                            & ~ p111(X81)
                                                                                                            & p11(X81) )
                                                                                                        | ~ r1(X20,X81) )
                                                                                                  & ~ ! [X82] :
                                                                                                        ( ~ ( p110(X82)
                                                                                                            & ~ p111(X82)
                                                                                                            & ~ p11(X82) )
                                                                                                        | ~ r1(X20,X82) ) ) )
                                                                                              & ( ~ ( p110(X20)
                                                                                                    & ~ p111(X20) )
                                                                                                | ( ~ ! [X83] :
                                                                                                        ( ~ ( p111(X83)
                                                                                                            & ~ p112(X83)
                                                                                                            & p12(X83) )
                                                                                                        | ~ r1(X20,X83) )
                                                                                                  & ~ ! [X84] :
                                                                                                        ( ~ ( p111(X84)
                                                                                                            & ~ p112(X84)
                                                                                                            & ~ p12(X84) )
                                                                                                        | ~ r1(X20,X84) ) ) )
                                                                                              & ( ~ ( p111(X20)
                                                                                                    & ~ p112(X20) )
                                                                                                | ( ~ ! [X85] :
                                                                                                        ( ~ ( p112(X85)
                                                                                                            & ~ p113(X85)
                                                                                                            & p13(X85) )
                                                                                                        | ~ r1(X20,X85) )
                                                                                                  & ~ ! [X86] :
                                                                                                        ( ~ ( p112(X86)
                                                                                                            & ~ p113(X86)
                                                                                                            & ~ p13(X86) )
                                                                                                        | ~ r1(X20,X86) ) ) )
                                                                                              & ( ~ ( p112(X20)
                                                                                                    & ~ p113(X20) )
                                                                                                | ( ~ ! [X87] :
                                                                                                        ( ~ ( p113(X87)
                                                                                                            & ~ p114(X87)
                                                                                                            & p14(X87) )
                                                                                                        | ~ r1(X20,X87) )
                                                                                                  & ~ ! [X88] :
                                                                                                        ( ~ ( p113(X88)
                                                                                                            & ~ p114(X88)
                                                                                                            & ~ p14(X88) )
                                                                                                        | ~ r1(X20,X88) ) ) )
                                                                                              & ( ~ ( p113(X20)
                                                                                                    & ~ p114(X20) )
                                                                                                | ( ~ ! [X89] :
                                                                                                        ( ~ ( p114(X89)
                                                                                                            & ~ p115(X89)
                                                                                                            & p15(X89) )
                                                                                                        | ~ r1(X20,X89) )
                                                                                                  & ~ ! [X90] :
                                                                                                        ( ~ ( p114(X90)
                                                                                                            & ~ p115(X90)
                                                                                                            & ~ p15(X90) )
                                                                                                        | ~ r1(X20,X90) ) ) )
                                                                                              & ( ~ ( p114(X20)
                                                                                                    & ~ p115(X20) )
                                                                                                | ( ~ ! [X91] :
                                                                                                        ( ~ ( p115(X91)
                                                                                                            & ~ p116(X91)
                                                                                                            & p16(X91) )
                                                                                                        | ~ r1(X20,X91) )
                                                                                                  & ~ ! [X92] :
                                                                                                        ( ~ ( p115(X92)
                                                                                                            & ~ p116(X92)
                                                                                                            & ~ p16(X92) )
                                                                                                        | ~ r1(X20,X92) ) ) )
                                                                                              & ( ~ ( p115(X20)
                                                                                                    & ~ p116(X20) )
                                                                                                | ( ~ ! [X93] :
                                                                                                        ( ~ ( p116(X93)
                                                                                                            & ~ p117(X93)
                                                                                                            & p17(X93) )
                                                                                                        | ~ r1(X20,X93) )
                                                                                                  & ~ ! [X94] :
                                                                                                        ( ~ ( p116(X94)
                                                                                                            & ~ p117(X94)
                                                                                                            & ~ p17(X94) )
                                                                                                        | ~ r1(X20,X94) ) ) )
                                                                                              & ( ~ ( p116(X20)
                                                                                                    & ~ p117(X20) )
                                                                                                | ( ~ ! [X95] :
                                                                                                        ( ~ ( p117(X95)
                                                                                                            & ~ p118(X95)
                                                                                                            & p18(X95) )
                                                                                                        | ~ r1(X20,X95) )
                                                                                                  & ~ ! [X96] :
                                                                                                        ( ~ ( p117(X96)
                                                                                                            & ~ p118(X96)
                                                                                                            & ~ p18(X96) )
                                                                                                        | ~ r1(X20,X96) ) ) )
                                                                                              & ( ~ ( p117(X20)
                                                                                                    & ~ p118(X20) )
                                                                                                | ( ~ ! [X97] :
                                                                                                        ( ~ ( p118(X97)
                                                                                                            & ~ p119(X97)
                                                                                                            & p19(X97) )
                                                                                                        | ~ r1(X20,X97) )
                                                                                                  & ~ ! [X98] :
                                                                                                        ( ~ ( p118(X98)
                                                                                                            & ~ p119(X98)
                                                                                                            & ~ p19(X98) )
                                                                                                        | ~ r1(X20,X98) ) ) )
                                                                                              & ( ~ ( p118(X20)
                                                                                                    & ~ p119(X20) )
                                                                                                | ( ~ ! [X99] :
                                                                                                        ( ~ ( p119(X99)
                                                                                                            & ~ p120(X99)
                                                                                                            & p20(X99) )
                                                                                                        | ~ r1(X20,X99) )
                                                                                                  & ~ ! [X100] :
                                                                                                        ( ~ ( p119(X100)
                                                                                                            & ~ p120(X100)
                                                                                                            & ~ p20(X100) )
                                                                                                        | ~ r1(X20,X100) ) ) )
                                                                                              & ( ~ ( p119(X20)
                                                                                                    & ~ p120(X20) )
                                                                                                | ( ~ ! [X101] :
                                                                                                        ( ~ ( p120(X101)
                                                                                                            & p21(X101) )
                                                                                                        | ~ r1(X20,X101) )
                                                                                                  & ~ ! [X102] :
                                                                                                        ( ~ ( p120(X102)
                                                                                                            & ~ p21(X102) )
                                                                                                        | ~ r1(X20,X102) ) ) ) )
                                                                                            | ~ r1(X19,X20) )
                                                                                        | ~ r1(X18,X19) )
                                                                                    | ~ r1(X17,X18) )
                                                                                | ~ r1(X16,X17) )
                                                                            | ~ r1(X15,X16) )
                                                                        | ~ r1(X14,X15) )
                                                                    | ~ r1(X13,X14) )
                                                                | ~ r1(X12,X13) )
                                                            | ~ r1(X11,X12) )
                                                        | ~ r1(X10,X11) )
                                                    | ~ r1(X9,X10) )
                                                | ~ r1(X8,X9) )
                                            | ~ r1(X7,X8) )
                                        | ~ r1(X6,X7) )
                                    | ~ r1(X5,X6) )
                                | ~ r1(X4,X5) )
                            | ~ r1(X3,X4) )
                        | ~ r1(X2,X3) )
                    | ~ r1(X1,X2) )
                | ~ r1(X0,X1) ) )
        | ~ ! [X103] :
              ( ! [X104] :
                  ( ! [X105] :
                      ( ! [X106] :
                          ( ! [X107] :
                              ( ! [X108] :
                                  ( ! [X109] :
                                      ( ! [X110] :
                                          ( ! [X111] :
                                              ( ! [X112] :
                                                  ( ! [X113] :
                                                      ( ! [X114] :
                                                          ( ! [X115] :
                                                              ( ! [X116] :
                                                                  ( ! [X117] :
                                                                      ( ! [X118] :
                                                                          ( ! [X119] :
                                                                              ( ! [X120] :
                                                                                  ( ! [X121] :
                                                                                      ( ! [X122] :
                                                                                          ( p8(X122)
                                                                                          | ~ r1(X121,X122) )
                                                                                      | ~ r1(X120,X121) )
                                                                                  | ~ r1(X119,X120) )
                                                                              | ~ r1(X118,X119) )
                                                                          | ~ r1(X117,X118) )
                                                                      | ~ r1(X116,X117) )
                                                                  | ~ r1(X115,X116) )
                                                              | ~ r1(X114,X115) )
                                                          | ~ r1(X113,X114) )
                                                      | ~ r1(X112,X113) )
                                                  | ~ r1(X111,X112) )
                                              | ~ r1(X110,X111) )
                                          | ~ r1(X109,X110) )
                                      | ~ r1(X108,X109) )
                                  | ~ r1(X107,X108) )
                              | ~ r1(X106,X107) )
                          | ~ r1(X105,X106) )
                      | ~ r1(X104,X105) )
                  | ~ r1(X103,X104) )
              | ~ r1(X0,X103) ) ),
    inference(pure_predicate_removal,[],[f5]) ).

fof(f5,plain,
    ? [X0] :
      ~ ( ~ ( p100(X0)
            & ~ p101(X0)
            & ! [X1] :
                ( ! [X2] :
                    ( ! [X3] :
                        ( ! [X4] :
                            ( ! [X5] :
                                ( ! [X6] :
                                    ( ! [X7] :
                                        ( ! [X8] :
                                            ( ! [X9] :
                                                ( ! [X10] :
                                                    ( ! [X11] :
                                                        ( ! [X12] :
                                                            ( ! [X13] :
                                                                ( ! [X14] :
                                                                    ( ! [X15] :
                                                                        ( ! [X16] :
                                                                            ( ! [X17] :
                                                                                ( ! [X18] :
                                                                                    ( ! [X19] :
                                                                                        ( ! [X20] :
                                                                                            ( ( ( ~ p101(X20)
                                                                                                | p100(X20) )
                                                                                              & ( ~ p102(X20)
                                                                                                | p101(X20) )
                                                                                              & ( ~ p103(X20)
                                                                                                | p102(X20) )
                                                                                              & ( ~ p104(X20)
                                                                                                | p103(X20) )
                                                                                              & ( ~ p105(X20)
                                                                                                | p104(X20) )
                                                                                              & ( ~ p106(X20)
                                                                                                | p105(X20) )
                                                                                              & ( ~ p107(X20)
                                                                                                | p106(X20) )
                                                                                              & ( ~ p108(X20)
                                                                                                | p107(X20) )
                                                                                              & ( ~ p109(X20)
                                                                                                | p108(X20) )
                                                                                              & ( ~ p110(X20)
                                                                                                | p109(X20) )
                                                                                              & ( ~ p111(X20)
                                                                                                | p110(X20) )
                                                                                              & ( ~ p112(X20)
                                                                                                | p111(X20) )
                                                                                              & ( ~ p113(X20)
                                                                                                | p112(X20) )
                                                                                              & ( ~ p114(X20)
                                                                                                | p113(X20) )
                                                                                              & ( ~ p115(X20)
                                                                                                | p114(X20) )
                                                                                              & ( ~ p116(X20)
                                                                                                | p115(X20) )
                                                                                              & ( ~ p117(X20)
                                                                                                | p116(X20) )
                                                                                              & ( ~ p118(X20)
                                                                                                | p117(X20) )
                                                                                              & ( ~ p119(X20)
                                                                                                | p118(X20) )
                                                                                              & ( ~ p120(X20)
                                                                                                | p119(X20) )
                                                                                              & ( ~ p121(X20)
                                                                                                | p120(X20) )
                                                                                              & ( ~ p100(X20)
                                                                                                | ( ( ~ p1(X20)
                                                                                                    | ! [X21] :
                                                                                                        ( ~ p100(X21)
                                                                                                        | p1(X21)
                                                                                                        | ~ r1(X20,X21) ) )
                                                                                                  & ( p1(X20)
                                                                                                    | ! [X22] :
                                                                                                        ( ~ p100(X22)
                                                                                                        | ~ p1(X22)
                                                                                                        | ~ r1(X20,X22) ) ) ) )
                                                                                              & ( ~ p101(X20)
                                                                                                | ( ( ~ p2(X20)
                                                                                                    | ! [X23] :
                                                                                                        ( ~ p101(X23)
                                                                                                        | p2(X23)
                                                                                                        | ~ r1(X20,X23) ) )
                                                                                                  & ( p2(X20)
                                                                                                    | ! [X24] :
                                                                                                        ( ~ p101(X24)
                                                                                                        | ~ p2(X24)
                                                                                                        | ~ r1(X20,X24) ) ) ) )
                                                                                              & ( ~ p102(X20)
                                                                                                | ( ( ~ p3(X20)
                                                                                                    | ! [X25] :
                                                                                                        ( ~ p102(X25)
                                                                                                        | p3(X25)
                                                                                                        | ~ r1(X20,X25) ) )
                                                                                                  & ( p3(X20)
                                                                                                    | ! [X26] :
                                                                                                        ( ~ p102(X26)
                                                                                                        | ~ p3(X26)
                                                                                                        | ~ r1(X20,X26) ) ) ) )
                                                                                              & ( ~ p103(X20)
                                                                                                | ( ( ~ p4(X20)
                                                                                                    | ! [X27] :
                                                                                                        ( ~ p103(X27)
                                                                                                        | p4(X27)
                                                                                                        | ~ r1(X20,X27) ) )
                                                                                                  & ( p4(X20)
                                                                                                    | ! [X28] :
                                                                                                        ( ~ p103(X28)
                                                                                                        | ~ p4(X28)
                                                                                                        | ~ r1(X20,X28) ) ) ) )
                                                                                              & ( ~ p104(X20)
                                                                                                | ( ( ~ p5(X20)
                                                                                                    | ! [X29] :
                                                                                                        ( ~ p104(X29)
                                                                                                        | p5(X29)
                                                                                                        | ~ r1(X20,X29) ) )
                                                                                                  & ( p5(X20)
                                                                                                    | ! [X30] :
                                                                                                        ( ~ p104(X30)
                                                                                                        | ~ p5(X30)
                                                                                                        | ~ r1(X20,X30) ) ) ) )
                                                                                              & ( ~ p105(X20)
                                                                                                | ( ( ~ p6(X20)
                                                                                                    | ! [X31] :
                                                                                                        ( ~ p105(X31)
                                                                                                        | p6(X31)
                                                                                                        | ~ r1(X20,X31) ) )
                                                                                                  & ( p6(X20)
                                                                                                    | ! [X32] :
                                                                                                        ( ~ p105(X32)
                                                                                                        | ~ p6(X32)
                                                                                                        | ~ r1(X20,X32) ) ) ) )
                                                                                              & ( ~ p106(X20)
                                                                                                | ( ( ~ p7(X20)
                                                                                                    | ! [X33] :
                                                                                                        ( ~ p106(X33)
                                                                                                        | p7(X33)
                                                                                                        | ~ r1(X20,X33) ) )
                                                                                                  & ( p7(X20)
                                                                                                    | ! [X34] :
                                                                                                        ( ~ p106(X34)
                                                                                                        | ~ p7(X34)
                                                                                                        | ~ r1(X20,X34) ) ) ) )
                                                                                              & ( ~ p107(X20)
                                                                                                | ( ( ~ p8(X20)
                                                                                                    | ! [X35] :
                                                                                                        ( ~ p107(X35)
                                                                                                        | p8(X35)
                                                                                                        | ~ r1(X20,X35) ) )
                                                                                                  & ( p8(X20)
                                                                                                    | ! [X36] :
                                                                                                        ( ~ p107(X36)
                                                                                                        | ~ p8(X36)
                                                                                                        | ~ r1(X20,X36) ) ) ) )
                                                                                              & ( ~ p108(X20)
                                                                                                | ( ( ~ p9(X20)
                                                                                                    | ! [X37] :
                                                                                                        ( ~ p108(X37)
                                                                                                        | p9(X37)
                                                                                                        | ~ r1(X20,X37) ) )
                                                                                                  & ( p9(X20)
                                                                                                    | ! [X38] :
                                                                                                        ( ~ p108(X38)
                                                                                                        | ~ p9(X38)
                                                                                                        | ~ r1(X20,X38) ) ) ) )
                                                                                              & ( ~ p109(X20)
                                                                                                | ( ( ~ p10(X20)
                                                                                                    | ! [X39] :
                                                                                                        ( ~ p109(X39)
                                                                                                        | p10(X39)
                                                                                                        | ~ r1(X20,X39) ) )
                                                                                                  & ( p10(X20)
                                                                                                    | ! [X40] :
                                                                                                        ( ~ p109(X40)
                                                                                                        | ~ p10(X40)
                                                                                                        | ~ r1(X20,X40) ) ) ) )
                                                                                              & ( ~ p110(X20)
                                                                                                | ( ( ~ p11(X20)
                                                                                                    | ! [X41] :
                                                                                                        ( ~ p110(X41)
                                                                                                        | p11(X41)
                                                                                                        | ~ r1(X20,X41) ) )
                                                                                                  & ( p11(X20)
                                                                                                    | ! [X42] :
                                                                                                        ( ~ p110(X42)
                                                                                                        | ~ p11(X42)
                                                                                                        | ~ r1(X20,X42) ) ) ) )
                                                                                              & ( ~ p111(X20)
                                                                                                | ( ( ~ p12(X20)
                                                                                                    | ! [X43] :
                                                                                                        ( ~ p111(X43)
                                                                                                        | p12(X43)
                                                                                                        | ~ r1(X20,X43) ) )
                                                                                                  & ( p12(X20)
                                                                                                    | ! [X44] :
                                                                                                        ( ~ p111(X44)
                                                                                                        | ~ p12(X44)
                                                                                                        | ~ r1(X20,X44) ) ) ) )
                                                                                              & ( ~ p112(X20)
                                                                                                | ( ( ~ p13(X20)
                                                                                                    | ! [X45] :
                                                                                                        ( ~ p112(X45)
                                                                                                        | p13(X45)
                                                                                                        | ~ r1(X20,X45) ) )
                                                                                                  & ( p13(X20)
                                                                                                    | ! [X46] :
                                                                                                        ( ~ p112(X46)
                                                                                                        | ~ p13(X46)
                                                                                                        | ~ r1(X20,X46) ) ) ) )
                                                                                              & ( ~ p113(X20)
                                                                                                | ( ( ~ p14(X20)
                                                                                                    | ! [X47] :
                                                                                                        ( ~ p113(X47)
                                                                                                        | p14(X47)
                                                                                                        | ~ r1(X20,X47) ) )
                                                                                                  & ( p14(X20)
                                                                                                    | ! [X48] :
                                                                                                        ( ~ p113(X48)
                                                                                                        | ~ p14(X48)
                                                                                                        | ~ r1(X20,X48) ) ) ) )
                                                                                              & ( ~ p114(X20)
                                                                                                | ( ( ~ p15(X20)
                                                                                                    | ! [X49] :
                                                                                                        ( ~ p114(X49)
                                                                                                        | p15(X49)
                                                                                                        | ~ r1(X20,X49) ) )
                                                                                                  & ( p15(X20)
                                                                                                    | ! [X50] :
                                                                                                        ( ~ p114(X50)
                                                                                                        | ~ p15(X50)
                                                                                                        | ~ r1(X20,X50) ) ) ) )
                                                                                              & ( ~ p115(X20)
                                                                                                | ( ( ~ p16(X20)
                                                                                                    | ! [X51] :
                                                                                                        ( ~ p115(X51)
                                                                                                        | p16(X51)
                                                                                                        | ~ r1(X20,X51) ) )
                                                                                                  & ( p16(X20)
                                                                                                    | ! [X52] :
                                                                                                        ( ~ p115(X52)
                                                                                                        | ~ p16(X52)
                                                                                                        | ~ r1(X20,X52) ) ) ) )
                                                                                              & ( ~ p116(X20)
                                                                                                | ( ( ~ p17(X20)
                                                                                                    | ! [X53] :
                                                                                                        ( ~ p116(X53)
                                                                                                        | p17(X53)
                                                                                                        | ~ r1(X20,X53) ) )
                                                                                                  & ( p17(X20)
                                                                                                    | ! [X54] :
                                                                                                        ( ~ p116(X54)
                                                                                                        | ~ p17(X54)
                                                                                                        | ~ r1(X20,X54) ) ) ) )
                                                                                              & ( ~ p117(X20)
                                                                                                | ( ( ~ p18(X20)
                                                                                                    | ! [X55] :
                                                                                                        ( ~ p117(X55)
                                                                                                        | p18(X55)
                                                                                                        | ~ r1(X20,X55) ) )
                                                                                                  & ( p18(X20)
                                                                                                    | ! [X56] :
                                                                                                        ( ~ p117(X56)
                                                                                                        | ~ p18(X56)
                                                                                                        | ~ r1(X20,X56) ) ) ) )
                                                                                              & ( ~ p118(X20)
                                                                                                | ( ( ~ p19(X20)
                                                                                                    | ! [X57] :
                                                                                                        ( ~ p118(X57)
                                                                                                        | p19(X57)
                                                                                                        | ~ r1(X20,X57) ) )
                                                                                                  & ( p19(X20)
                                                                                                    | ! [X58] :
                                                                                                        ( ~ p118(X58)
                                                                                                        | ~ p19(X58)
                                                                                                        | ~ r1(X20,X58) ) ) ) )
                                                                                              & ( ~ p119(X20)
                                                                                                | ( ( ~ p20(X20)
                                                                                                    | ! [X59] :
                                                                                                        ( ~ p119(X59)
                                                                                                        | p20(X59)
                                                                                                        | ~ r1(X20,X59) ) )
                                                                                                  & ( p20(X20)
                                                                                                    | ! [X60] :
                                                                                                        ( ~ p119(X60)
                                                                                                        | ~ p20(X60)
                                                                                                        | ~ r1(X20,X60) ) ) ) )
                                                                                              & ( ~ p120(X20)
                                                                                                | ( ( ~ p21(X20)
                                                                                                    | ! [X61] :
                                                                                                        ( ~ p120(X61)
                                                                                                        | p21(X61)
                                                                                                        | ~ r1(X20,X61) ) )
                                                                                                  & ( p21(X20)
                                                                                                    | ! [X62] :
                                                                                                        ( ~ p120(X62)
                                                                                                        | ~ p21(X62)
                                                                                                        | ~ r1(X20,X62) ) ) ) )
                                                                                              & ( ~ ( p100(X20)
                                                                                                    & ~ p101(X20) )
                                                                                                | ( ~ ! [X63] :
                                                                                                        ( ~ ( p101(X63)
                                                                                                            & ~ p102(X63)
                                                                                                            & p2(X63) )
                                                                                                        | ~ r1(X20,X63) )
                                                                                                  & ~ ! [X64] :
                                                                                                        ( ~ ( p101(X64)
                                                                                                            & ~ p102(X64)
                                                                                                            & ~ p2(X64) )
                                                                                                        | ~ r1(X20,X64) ) ) )
                                                                                              & ( ~ ( p101(X20)
                                                                                                    & ~ p102(X20) )
                                                                                                | ( ~ ! [X65] :
                                                                                                        ( ~ ( p102(X65)
                                                                                                            & ~ p103(X65)
                                                                                                            & p3(X65) )
                                                                                                        | ~ r1(X20,X65) )
                                                                                                  & ~ ! [X66] :
                                                                                                        ( ~ ( p102(X66)
                                                                                                            & ~ p103(X66)
                                                                                                            & ~ p3(X66) )
                                                                                                        | ~ r1(X20,X66) ) ) )
                                                                                              & ( ~ ( p102(X20)
                                                                                                    & ~ p103(X20) )
                                                                                                | ( ~ ! [X67] :
                                                                                                        ( ~ ( p103(X67)
                                                                                                            & ~ p104(X67)
                                                                                                            & p4(X67) )
                                                                                                        | ~ r1(X20,X67) )
                                                                                                  & ~ ! [X68] :
                                                                                                        ( ~ ( p103(X68)
                                                                                                            & ~ p104(X68)
                                                                                                            & ~ p4(X68) )
                                                                                                        | ~ r1(X20,X68) ) ) )
                                                                                              & ( ~ ( p103(X20)
                                                                                                    & ~ p104(X20) )
                                                                                                | ( ~ ! [X69] :
                                                                                                        ( ~ ( p104(X69)
                                                                                                            & ~ p105(X69)
                                                                                                            & p5(X69) )
                                                                                                        | ~ r1(X20,X69) )
                                                                                                  & ~ ! [X70] :
                                                                                                        ( ~ ( p104(X70)
                                                                                                            & ~ p105(X70)
                                                                                                            & ~ p5(X70) )
                                                                                                        | ~ r1(X20,X70) ) ) )
                                                                                              & ( ~ ( p104(X20)
                                                                                                    & ~ p105(X20) )
                                                                                                | ( ~ ! [X71] :
                                                                                                        ( ~ ( p105(X71)
                                                                                                            & ~ p106(X71)
                                                                                                            & p6(X71) )
                                                                                                        | ~ r1(X20,X71) )
                                                                                                  & ~ ! [X72] :
                                                                                                        ( ~ ( p105(X72)
                                                                                                            & ~ p106(X72)
                                                                                                            & ~ p6(X72) )
                                                                                                        | ~ r1(X20,X72) ) ) )
                                                                                              & ( ~ ( p105(X20)
                                                                                                    & ~ p106(X20) )
                                                                                                | ( ~ ! [X73] :
                                                                                                        ( ~ ( p106(X73)
                                                                                                            & ~ p107(X73)
                                                                                                            & p7(X73) )
                                                                                                        | ~ r1(X20,X73) )
                                                                                                  & ~ ! [X74] :
                                                                                                        ( ~ ( p106(X74)
                                                                                                            & ~ p107(X74)
                                                                                                            & ~ p7(X74) )
                                                                                                        | ~ r1(X20,X74) ) ) )
                                                                                              & ( ~ ( p106(X20)
                                                                                                    & ~ p107(X20) )
                                                                                                | ( ~ ! [X75] :
                                                                                                        ( ~ ( p107(X75)
                                                                                                            & ~ p108(X75)
                                                                                                            & p8(X75) )
                                                                                                        | ~ r1(X20,X75) )
                                                                                                  & ~ ! [X76] :
                                                                                                        ( ~ ( p107(X76)
                                                                                                            & ~ p108(X76)
                                                                                                            & ~ p8(X76) )
                                                                                                        | ~ r1(X20,X76) ) ) )
                                                                                              & ( ~ ( p107(X20)
                                                                                                    & ~ p108(X20) )
                                                                                                | ( ~ ! [X77] :
                                                                                                        ( ~ ( p108(X77)
                                                                                                            & ~ p109(X77)
                                                                                                            & p9(X77) )
                                                                                                        | ~ r1(X20,X77) )
                                                                                                  & ~ ! [X78] :
                                                                                                        ( ~ ( p108(X78)
                                                                                                            & ~ p109(X78)
                                                                                                            & ~ p9(X78) )
                                                                                                        | ~ r1(X20,X78) ) ) )
                                                                                              & ( ~ ( p108(X20)
                                                                                                    & ~ p109(X20) )
                                                                                                | ( ~ ! [X79] :
                                                                                                        ( ~ ( p109(X79)
                                                                                                            & ~ p110(X79)
                                                                                                            & p10(X79) )
                                                                                                        | ~ r1(X20,X79) )
                                                                                                  & ~ ! [X80] :
                                                                                                        ( ~ ( p109(X80)
                                                                                                            & ~ p110(X80)
                                                                                                            & ~ p10(X80) )
                                                                                                        | ~ r1(X20,X80) ) ) )
                                                                                              & ( ~ ( p109(X20)
                                                                                                    & ~ p110(X20) )
                                                                                                | ( ~ ! [X81] :
                                                                                                        ( ~ ( p110(X81)
                                                                                                            & ~ p111(X81)
                                                                                                            & p11(X81) )
                                                                                                        | ~ r1(X20,X81) )
                                                                                                  & ~ ! [X82] :
                                                                                                        ( ~ ( p110(X82)
                                                                                                            & ~ p111(X82)
                                                                                                            & ~ p11(X82) )
                                                                                                        | ~ r1(X20,X82) ) ) )
                                                                                              & ( ~ ( p110(X20)
                                                                                                    & ~ p111(X20) )
                                                                                                | ( ~ ! [X83] :
                                                                                                        ( ~ ( p111(X83)
                                                                                                            & ~ p112(X83)
                                                                                                            & p12(X83) )
                                                                                                        | ~ r1(X20,X83) )
                                                                                                  & ~ ! [X84] :
                                                                                                        ( ~ ( p111(X84)
                                                                                                            & ~ p112(X84)
                                                                                                            & ~ p12(X84) )
                                                                                                        | ~ r1(X20,X84) ) ) )
                                                                                              & ( ~ ( p111(X20)
                                                                                                    & ~ p112(X20) )
                                                                                                | ( ~ ! [X85] :
                                                                                                        ( ~ ( p112(X85)
                                                                                                            & ~ p113(X85)
                                                                                                            & p13(X85) )
                                                                                                        | ~ r1(X20,X85) )
                                                                                                  & ~ ! [X86] :
                                                                                                        ( ~ ( p112(X86)
                                                                                                            & ~ p113(X86)
                                                                                                            & ~ p13(X86) )
                                                                                                        | ~ r1(X20,X86) ) ) )
                                                                                              & ( ~ ( p112(X20)
                                                                                                    & ~ p113(X20) )
                                                                                                | ( ~ ! [X87] :
                                                                                                        ( ~ ( p113(X87)
                                                                                                            & ~ p114(X87)
                                                                                                            & p14(X87) )
                                                                                                        | ~ r1(X20,X87) )
                                                                                                  & ~ ! [X88] :
                                                                                                        ( ~ ( p113(X88)
                                                                                                            & ~ p114(X88)
                                                                                                            & ~ p14(X88) )
                                                                                                        | ~ r1(X20,X88) ) ) )
                                                                                              & ( ~ ( p113(X20)
                                                                                                    & ~ p114(X20) )
                                                                                                | ( ~ ! [X89] :
                                                                                                        ( ~ ( p114(X89)
                                                                                                            & ~ p115(X89)
                                                                                                            & p15(X89) )
                                                                                                        | ~ r1(X20,X89) )
                                                                                                  & ~ ! [X90] :
                                                                                                        ( ~ ( p114(X90)
                                                                                                            & ~ p115(X90)
                                                                                                            & ~ p15(X90) )
                                                                                                        | ~ r1(X20,X90) ) ) )
                                                                                              & ( ~ ( p114(X20)
                                                                                                    & ~ p115(X20) )
                                                                                                | ( ~ ! [X91] :
                                                                                                        ( ~ ( p115(X91)
                                                                                                            & ~ p116(X91)
                                                                                                            & p16(X91) )
                                                                                                        | ~ r1(X20,X91) )
                                                                                                  & ~ ! [X92] :
                                                                                                        ( ~ ( p115(X92)
                                                                                                            & ~ p116(X92)
                                                                                                            & ~ p16(X92) )
                                                                                                        | ~ r1(X20,X92) ) ) )
                                                                                              & ( ~ ( p115(X20)
                                                                                                    & ~ p116(X20) )
                                                                                                | ( ~ ! [X93] :
                                                                                                        ( ~ ( p116(X93)
                                                                                                            & ~ p117(X93)
                                                                                                            & p17(X93) )
                                                                                                        | ~ r1(X20,X93) )
                                                                                                  & ~ ! [X94] :
                                                                                                        ( ~ ( p116(X94)
                                                                                                            & ~ p117(X94)
                                                                                                            & ~ p17(X94) )
                                                                                                        | ~ r1(X20,X94) ) ) )
                                                                                              & ( ~ ( p116(X20)
                                                                                                    & ~ p117(X20) )
                                                                                                | ( ~ ! [X95] :
                                                                                                        ( ~ ( p117(X95)
                                                                                                            & ~ p118(X95)
                                                                                                            & p18(X95) )
                                                                                                        | ~ r1(X20,X95) )
                                                                                                  & ~ ! [X96] :
                                                                                                        ( ~ ( p117(X96)
                                                                                                            & ~ p118(X96)
                                                                                                            & ~ p18(X96) )
                                                                                                        | ~ r1(X20,X96) ) ) )
                                                                                              & ( ~ ( p117(X20)
                                                                                                    & ~ p118(X20) )
                                                                                                | ( ~ ! [X97] :
                                                                                                        ( ~ ( p118(X97)
                                                                                                            & ~ p119(X97)
                                                                                                            & p19(X97) )
                                                                                                        | ~ r1(X20,X97) )
                                                                                                  & ~ ! [X98] :
                                                                                                        ( ~ ( p118(X98)
                                                                                                            & ~ p119(X98)
                                                                                                            & ~ p19(X98) )
                                                                                                        | ~ r1(X20,X98) ) ) )
                                                                                              & ( ~ ( p118(X20)
                                                                                                    & ~ p119(X20) )
                                                                                                | ( ~ ! [X99] :
                                                                                                        ( ~ ( p119(X99)
                                                                                                            & ~ p120(X99)
                                                                                                            & p20(X99) )
                                                                                                        | ~ r1(X20,X99) )
                                                                                                  & ~ ! [X100] :
                                                                                                        ( ~ ( p119(X100)
                                                                                                            & ~ p120(X100)
                                                                                                            & ~ p20(X100) )
                                                                                                        | ~ r1(X20,X100) ) ) )
                                                                                              & ( ~ ( p119(X20)
                                                                                                    & ~ p120(X20) )
                                                                                                | ( ~ ! [X101] :
                                                                                                        ( ~ ( p120(X101)
                                                                                                            & ~ p121(X101)
                                                                                                            & p21(X101) )
                                                                                                        | ~ r1(X20,X101) )
                                                                                                  & ~ ! [X102] :
                                                                                                        ( ~ ( p120(X102)
                                                                                                            & ~ p121(X102)
                                                                                                            & ~ p21(X102) )
                                                                                                        | ~ r1(X20,X102) ) ) ) )
                                                                                            | ~ r1(X19,X20) )
                                                                                        | ~ r1(X18,X19) )
                                                                                    | ~ r1(X17,X18) )
                                                                                | ~ r1(X16,X17) )
                                                                            | ~ r1(X15,X16) )
                                                                        | ~ r1(X14,X15) )
                                                                    | ~ r1(X13,X14) )
                                                                | ~ r1(X12,X13) )
                                                            | ~ r1(X11,X12) )
                                                        | ~ r1(X10,X11) )
                                                    | ~ r1(X9,X10) )
                                                | ~ r1(X8,X9) )
                                            | ~ r1(X7,X8) )
                                        | ~ r1(X6,X7) )
                                    | ~ r1(X5,X6) )
                                | ~ r1(X4,X5) )
                            | ~ r1(X3,X4) )
                        | ~ r1(X2,X3) )
                    | ~ r1(X1,X2) )
                | ~ r1(X0,X1) ) )
        | ~ ! [X103] :
              ( ! [X104] :
                  ( ! [X105] :
                      ( ! [X106] :
                          ( ! [X107] :
                              ( ! [X108] :
                                  ( ! [X109] :
                                      ( ! [X110] :
                                          ( ! [X111] :
                                              ( ! [X112] :
                                                  ( ! [X113] :
                                                      ( ! [X114] :
                                                          ( ! [X115] :
                                                              ( ! [X116] :
                                                                  ( ! [X117] :
                                                                      ( ! [X118] :
                                                                          ( ! [X119] :
                                                                              ( ! [X120] :
                                                                                  ( ! [X121] :
                                                                                      ( ! [X122] :
                                                                                          ( p8(X122)
                                                                                          | ~ r1(X121,X122) )
                                                                                      | ~ r1(X120,X121) )
                                                                                  | ~ r1(X119,X120) )
                                                                              | ~ r1(X118,X119) )
                                                                          | ~ r1(X117,X118) )
                                                                      | ~ r1(X116,X117) )
                                                                  | ~ r1(X115,X116) )
                                                              | ~ r1(X114,X115) )
                                                          | ~ r1(X113,X114) )
                                                      | ~ r1(X112,X113) )
                                                  | ~ r1(X111,X112) )
                                              | ~ r1(X110,X111) )
                                          | ~ r1(X109,X110) )
                                      | ~ r1(X108,X109) )
                                  | ~ r1(X107,X108) )
                              | ~ r1(X106,X107) )
                          | ~ r1(X105,X106) )
                      | ~ r1(X104,X105) )
                  | ~ r1(X103,X104) )
              | ~ r1(X0,X103) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ( p100(X0)
                & ~ p101(X0)
                & ! [X1] :
                    ( ! [X2] :
                        ( ! [X3] :
                            ( ! [X4] :
                                ( ! [X5] :
                                    ( ! [X6] :
                                        ( ! [X7] :
                                            ( ! [X8] :
                                                ( ! [X9] :
                                                    ( ! [X10] :
                                                        ( ! [X11] :
                                                            ( ! [X12] :
                                                                ( ! [X13] :
                                                                    ( ! [X14] :
                                                                        ( ! [X15] :
                                                                            ( ! [X16] :
                                                                                ( ! [X17] :
                                                                                    ( ! [X18] :
                                                                                        ( ! [X19] :
                                                                                            ( ! [X20] :
                                                                                                ( ( ( ~ p101(X20)
                                                                                                    | p100(X20) )
                                                                                                  & ( ~ p102(X20)
                                                                                                    | p101(X20) )
                                                                                                  & ( ~ p103(X20)
                                                                                                    | p102(X20) )
                                                                                                  & ( ~ p104(X20)
                                                                                                    | p103(X20) )
                                                                                                  & ( ~ p105(X20)
                                                                                                    | p104(X20) )
                                                                                                  & ( ~ p106(X20)
                                                                                                    | p105(X20) )
                                                                                                  & ( ~ p107(X20)
                                                                                                    | p106(X20) )
                                                                                                  & ( ~ p108(X20)
                                                                                                    | p107(X20) )
                                                                                                  & ( ~ p109(X20)
                                                                                                    | p108(X20) )
                                                                                                  & ( ~ p110(X20)
                                                                                                    | p109(X20) )
                                                                                                  & ( ~ p111(X20)
                                                                                                    | p110(X20) )
                                                                                                  & ( ~ p112(X20)
                                                                                                    | p111(X20) )
                                                                                                  & ( ~ p113(X20)
                                                                                                    | p112(X20) )
                                                                                                  & ( ~ p114(X20)
                                                                                                    | p113(X20) )
                                                                                                  & ( ~ p115(X20)
                                                                                                    | p114(X20) )
                                                                                                  & ( ~ p116(X20)
                                                                                                    | p115(X20) )
                                                                                                  & ( ~ p117(X20)
                                                                                                    | p116(X20) )
                                                                                                  & ( ~ p118(X20)
                                                                                                    | p117(X20) )
                                                                                                  & ( ~ p119(X20)
                                                                                                    | p118(X20) )
                                                                                                  & ( ~ p120(X20)
                                                                                                    | p119(X20) )
                                                                                                  & ( ~ p121(X20)
                                                                                                    | p120(X20) )
                                                                                                  & ( ~ p100(X20)
                                                                                                    | ( ( ~ p1(X20)
                                                                                                        | ! [X21] :
                                                                                                            ( ~ p100(X21)
                                                                                                            | p1(X21)
                                                                                                            | ~ r1(X20,X21) ) )
                                                                                                      & ( p1(X20)
                                                                                                        | ! [X22] :
                                                                                                            ( ~ p100(X22)
                                                                                                            | ~ p1(X22)
                                                                                                            | ~ r1(X20,X22) ) ) ) )
                                                                                                  & ( ~ p101(X20)
                                                                                                    | ( ( ~ p2(X20)
                                                                                                        | ! [X23] :
                                                                                                            ( ~ p101(X23)
                                                                                                            | p2(X23)
                                                                                                            | ~ r1(X20,X23) ) )
                                                                                                      & ( p2(X20)
                                                                                                        | ! [X24] :
                                                                                                            ( ~ p101(X24)
                                                                                                            | ~ p2(X24)
                                                                                                            | ~ r1(X20,X24) ) ) ) )
                                                                                                  & ( ~ p102(X20)
                                                                                                    | ( ( ~ p3(X20)
                                                                                                        | ! [X25] :
                                                                                                            ( ~ p102(X25)
                                                                                                            | p3(X25)
                                                                                                            | ~ r1(X20,X25) ) )
                                                                                                      & ( p3(X20)
                                                                                                        | ! [X26] :
                                                                                                            ( ~ p102(X26)
                                                                                                            | ~ p3(X26)
                                                                                                            | ~ r1(X20,X26) ) ) ) )
                                                                                                  & ( ~ p103(X20)
                                                                                                    | ( ( ~ p4(X20)
                                                                                                        | ! [X27] :
                                                                                                            ( ~ p103(X27)
                                                                                                            | p4(X27)
                                                                                                            | ~ r1(X20,X27) ) )
                                                                                                      & ( p4(X20)
                                                                                                        | ! [X28] :
                                                                                                            ( ~ p103(X28)
                                                                                                            | ~ p4(X28)
                                                                                                            | ~ r1(X20,X28) ) ) ) )
                                                                                                  & ( ~ p104(X20)
                                                                                                    | ( ( ~ p5(X20)
                                                                                                        | ! [X29] :
                                                                                                            ( ~ p104(X29)
                                                                                                            | p5(X29)
                                                                                                            | ~ r1(X20,X29) ) )
                                                                                                      & ( p5(X20)
                                                                                                        | ! [X30] :
                                                                                                            ( ~ p104(X30)
                                                                                                            | ~ p5(X30)
                                                                                                            | ~ r1(X20,X30) ) ) ) )
                                                                                                  & ( ~ p105(X20)
                                                                                                    | ( ( ~ p6(X20)
                                                                                                        | ! [X31] :
                                                                                                            ( ~ p105(X31)
                                                                                                            | p6(X31)
                                                                                                            | ~ r1(X20,X31) ) )
                                                                                                      & ( p6(X20)
                                                                                                        | ! [X32] :
                                                                                                            ( ~ p105(X32)
                                                                                                            | ~ p6(X32)
                                                                                                            | ~ r1(X20,X32) ) ) ) )
                                                                                                  & ( ~ p106(X20)
                                                                                                    | ( ( ~ p7(X20)
                                                                                                        | ! [X33] :
                                                                                                            ( ~ p106(X33)
                                                                                                            | p7(X33)
                                                                                                            | ~ r1(X20,X33) ) )
                                                                                                      & ( p7(X20)
                                                                                                        | ! [X34] :
                                                                                                            ( ~ p106(X34)
                                                                                                            | ~ p7(X34)
                                                                                                            | ~ r1(X20,X34) ) ) ) )
                                                                                                  & ( ~ p107(X20)
                                                                                                    | ( ( ~ p8(X20)
                                                                                                        | ! [X35] :
                                                                                                            ( ~ p107(X35)
                                                                                                            | p8(X35)
                                                                                                            | ~ r1(X20,X35) ) )
                                                                                                      & ( p8(X20)
                                                                                                        | ! [X36] :
                                                                                                            ( ~ p107(X36)
                                                                                                            | ~ p8(X36)
                                                                                                            | ~ r1(X20,X36) ) ) ) )
                                                                                                  & ( ~ p108(X20)
                                                                                                    | ( ( ~ p9(X20)
                                                                                                        | ! [X37] :
                                                                                                            ( ~ p108(X37)
                                                                                                            | p9(X37)
                                                                                                            | ~ r1(X20,X37) ) )
                                                                                                      & ( p9(X20)
                                                                                                        | ! [X38] :
                                                                                                            ( ~ p108(X38)
                                                                                                            | ~ p9(X38)
                                                                                                            | ~ r1(X20,X38) ) ) ) )
                                                                                                  & ( ~ p109(X20)
                                                                                                    | ( ( ~ p10(X20)
                                                                                                        | ! [X39] :
                                                                                                            ( ~ p109(X39)
                                                                                                            | p10(X39)
                                                                                                            | ~ r1(X20,X39) ) )
                                                                                                      & ( p10(X20)
                                                                                                        | ! [X40] :
                                                                                                            ( ~ p109(X40)
                                                                                                            | ~ p10(X40)
                                                                                                            | ~ r1(X20,X40) ) ) ) )
                                                                                                  & ( ~ p110(X20)
                                                                                                    | ( ( ~ p11(X20)
                                                                                                        | ! [X41] :
                                                                                                            ( ~ p110(X41)
                                                                                                            | p11(X41)
                                                                                                            | ~ r1(X20,X41) ) )
                                                                                                      & ( p11(X20)
                                                                                                        | ! [X42] :
                                                                                                            ( ~ p110(X42)
                                                                                                            | ~ p11(X42)
                                                                                                            | ~ r1(X20,X42) ) ) ) )
                                                                                                  & ( ~ p111(X20)
                                                                                                    | ( ( ~ p12(X20)
                                                                                                        | ! [X43] :
                                                                                                            ( ~ p111(X43)
                                                                                                            | p12(X43)
                                                                                                            | ~ r1(X20,X43) ) )
                                                                                                      & ( p12(X20)
                                                                                                        | ! [X44] :
                                                                                                            ( ~ p111(X44)
                                                                                                            | ~ p12(X44)
                                                                                                            | ~ r1(X20,X44) ) ) ) )
                                                                                                  & ( ~ p112(X20)
                                                                                                    | ( ( ~ p13(X20)
                                                                                                        | ! [X45] :
                                                                                                            ( ~ p112(X45)
                                                                                                            | p13(X45)
                                                                                                            | ~ r1(X20,X45) ) )
                                                                                                      & ( p13(X20)
                                                                                                        | ! [X46] :
                                                                                                            ( ~ p112(X46)
                                                                                                            | ~ p13(X46)
                                                                                                            | ~ r1(X20,X46) ) ) ) )
                                                                                                  & ( ~ p113(X20)
                                                                                                    | ( ( ~ p14(X20)
                                                                                                        | ! [X47] :
                                                                                                            ( ~ p113(X47)
                                                                                                            | p14(X47)
                                                                                                            | ~ r1(X20,X47) ) )
                                                                                                      & ( p14(X20)
                                                                                                        | ! [X48] :
                                                                                                            ( ~ p113(X48)
                                                                                                            | ~ p14(X48)
                                                                                                            | ~ r1(X20,X48) ) ) ) )
                                                                                                  & ( ~ p114(X20)
                                                                                                    | ( ( ~ p15(X20)
                                                                                                        | ! [X49] :
                                                                                                            ( ~ p114(X49)
                                                                                                            | p15(X49)
                                                                                                            | ~ r1(X20,X49) ) )
                                                                                                      & ( p15(X20)
                                                                                                        | ! [X50] :
                                                                                                            ( ~ p114(X50)
                                                                                                            | ~ p15(X50)
                                                                                                            | ~ r1(X20,X50) ) ) ) )
                                                                                                  & ( ~ p115(X20)
                                                                                                    | ( ( ~ p16(X20)
                                                                                                        | ! [X51] :
                                                                                                            ( ~ p115(X51)
                                                                                                            | p16(X51)
                                                                                                            | ~ r1(X20,X51) ) )
                                                                                                      & ( p16(X20)
                                                                                                        | ! [X52] :
                                                                                                            ( ~ p115(X52)
                                                                                                            | ~ p16(X52)
                                                                                                            | ~ r1(X20,X52) ) ) ) )
                                                                                                  & ( ~ p116(X20)
                                                                                                    | ( ( ~ p17(X20)
                                                                                                        | ! [X53] :
                                                                                                            ( ~ p116(X53)
                                                                                                            | p17(X53)
                                                                                                            | ~ r1(X20,X53) ) )
                                                                                                      & ( p17(X20)
                                                                                                        | ! [X54] :
                                                                                                            ( ~ p116(X54)
                                                                                                            | ~ p17(X54)
                                                                                                            | ~ r1(X20,X54) ) ) ) )
                                                                                                  & ( ~ p117(X20)
                                                                                                    | ( ( ~ p18(X20)
                                                                                                        | ! [X55] :
                                                                                                            ( ~ p117(X55)
                                                                                                            | p18(X55)
                                                                                                            | ~ r1(X20,X55) ) )
                                                                                                      & ( p18(X20)
                                                                                                        | ! [X56] :
                                                                                                            ( ~ p117(X56)
                                                                                                            | ~ p18(X56)
                                                                                                            | ~ r1(X20,X56) ) ) ) )
                                                                                                  & ( ~ p118(X20)
                                                                                                    | ( ( ~ p19(X20)
                                                                                                        | ! [X57] :
                                                                                                            ( ~ p118(X57)
                                                                                                            | p19(X57)
                                                                                                            | ~ r1(X20,X57) ) )
                                                                                                      & ( p19(X20)
                                                                                                        | ! [X58] :
                                                                                                            ( ~ p118(X58)
                                                                                                            | ~ p19(X58)
                                                                                                            | ~ r1(X20,X58) ) ) ) )
                                                                                                  & ( ~ p119(X20)
                                                                                                    | ( ( ~ p20(X20)
                                                                                                        | ! [X59] :
                                                                                                            ( ~ p119(X59)
                                                                                                            | p20(X59)
                                                                                                            | ~ r1(X20,X59) ) )
                                                                                                      & ( p20(X20)
                                                                                                        | ! [X60] :
                                                                                                            ( ~ p119(X60)
                                                                                                            | ~ p20(X60)
                                                                                                            | ~ r1(X20,X60) ) ) ) )
                                                                                                  & ( ~ p120(X20)
                                                                                                    | ( ( ~ p21(X20)
                                                                                                        | ! [X61] :
                                                                                                            ( ~ p120(X61)
                                                                                                            | p21(X61)
                                                                                                            | ~ r1(X20,X61) ) )
                                                                                                      & ( p21(X20)
                                                                                                        | ! [X62] :
                                                                                                            ( ~ p120(X62)
                                                                                                            | ~ p21(X62)
                                                                                                            | ~ r1(X20,X62) ) ) ) )
                                                                                                  & ( ~ ( p100(X20)
                                                                                                        & ~ p101(X20) )
                                                                                                    | ( ~ ! [X63] :
                                                                                                            ( ~ ( p101(X63)
                                                                                                                & ~ p102(X63)
                                                                                                                & p2(X63) )
                                                                                                            | ~ r1(X20,X63) )
                                                                                                      & ~ ! [X64] :
                                                                                                            ( ~ ( p101(X64)
                                                                                                                & ~ p102(X64)
                                                                                                                & ~ p2(X64) )
                                                                                                            | ~ r1(X20,X64) ) ) )
                                                                                                  & ( ~ ( p101(X20)
                                                                                                        & ~ p102(X20) )
                                                                                                    | ( ~ ! [X65] :
                                                                                                            ( ~ ( p102(X65)
                                                                                                                & ~ p103(X65)
                                                                                                                & p3(X65) )
                                                                                                            | ~ r1(X20,X65) )
                                                                                                      & ~ ! [X66] :
                                                                                                            ( ~ ( p102(X66)
                                                                                                                & ~ p103(X66)
                                                                                                                & ~ p3(X66) )
                                                                                                            | ~ r1(X20,X66) ) ) )
                                                                                                  & ( ~ ( p102(X20)
                                                                                                        & ~ p103(X20) )
                                                                                                    | ( ~ ! [X67] :
                                                                                                            ( ~ ( p103(X67)
                                                                                                                & ~ p104(X67)
                                                                                                                & p4(X67) )
                                                                                                            | ~ r1(X20,X67) )
                                                                                                      & ~ ! [X68] :
                                                                                                            ( ~ ( p103(X68)
                                                                                                                & ~ p104(X68)
                                                                                                                & ~ p4(X68) )
                                                                                                            | ~ r1(X20,X68) ) ) )
                                                                                                  & ( ~ ( p103(X20)
                                                                                                        & ~ p104(X20) )
                                                                                                    | ( ~ ! [X69] :
                                                                                                            ( ~ ( p104(X69)
                                                                                                                & ~ p105(X69)
                                                                                                                & p5(X69) )
                                                                                                            | ~ r1(X20,X69) )
                                                                                                      & ~ ! [X70] :
                                                                                                            ( ~ ( p104(X70)
                                                                                                                & ~ p105(X70)
                                                                                                                & ~ p5(X70) )
                                                                                                            | ~ r1(X20,X70) ) ) )
                                                                                                  & ( ~ ( p104(X20)
                                                                                                        & ~ p105(X20) )
                                                                                                    | ( ~ ! [X71] :
                                                                                                            ( ~ ( p105(X71)
                                                                                                                & ~ p106(X71)
                                                                                                                & p6(X71) )
                                                                                                            | ~ r1(X20,X71) )
                                                                                                      & ~ ! [X72] :
                                                                                                            ( ~ ( p105(X72)
                                                                                                                & ~ p106(X72)
                                                                                                                & ~ p6(X72) )
                                                                                                            | ~ r1(X20,X72) ) ) )
                                                                                                  & ( ~ ( p105(X20)
                                                                                                        & ~ p106(X20) )
                                                                                                    | ( ~ ! [X73] :
                                                                                                            ( ~ ( p106(X73)
                                                                                                                & ~ p107(X73)
                                                                                                                & p7(X73) )
                                                                                                            | ~ r1(X20,X73) )
                                                                                                      & ~ ! [X74] :
                                                                                                            ( ~ ( p106(X74)
                                                                                                                & ~ p107(X74)
                                                                                                                & ~ p7(X74) )
                                                                                                            | ~ r1(X20,X74) ) ) )
                                                                                                  & ( ~ ( p106(X20)
                                                                                                        & ~ p107(X20) )
                                                                                                    | ( ~ ! [X75] :
                                                                                                            ( ~ ( p107(X75)
                                                                                                                & ~ p108(X75)
                                                                                                                & p8(X75) )
                                                                                                            | ~ r1(X20,X75) )
                                                                                                      & ~ ! [X76] :
                                                                                                            ( ~ ( p107(X76)
                                                                                                                & ~ p108(X76)
                                                                                                                & ~ p8(X76) )
                                                                                                            | ~ r1(X20,X76) ) ) )
                                                                                                  & ( ~ ( p107(X20)
                                                                                                        & ~ p108(X20) )
                                                                                                    | ( ~ ! [X77] :
                                                                                                            ( ~ ( p108(X77)
                                                                                                                & ~ p109(X77)
                                                                                                                & p9(X77) )
                                                                                                            | ~ r1(X20,X77) )
                                                                                                      & ~ ! [X78] :
                                                                                                            ( ~ ( p108(X78)
                                                                                                                & ~ p109(X78)
                                                                                                                & ~ p9(X78) )
                                                                                                            | ~ r1(X20,X78) ) ) )
                                                                                                  & ( ~ ( p108(X20)
                                                                                                        & ~ p109(X20) )
                                                                                                    | ( ~ ! [X79] :
                                                                                                            ( ~ ( p109(X79)
                                                                                                                & ~ p110(X79)
                                                                                                                & p10(X79) )
                                                                                                            | ~ r1(X20,X79) )
                                                                                                      & ~ ! [X80] :
                                                                                                            ( ~ ( p109(X80)
                                                                                                                & ~ p110(X80)
                                                                                                                & ~ p10(X80) )
                                                                                                            | ~ r1(X20,X80) ) ) )
                                                                                                  & ( ~ ( p109(X20)
                                                                                                        & ~ p110(X20) )
                                                                                                    | ( ~ ! [X81] :
                                                                                                            ( ~ ( p110(X81)
                                                                                                                & ~ p111(X81)
                                                                                                                & p11(X81) )
                                                                                                            | ~ r1(X20,X81) )
                                                                                                      & ~ ! [X82] :
                                                                                                            ( ~ ( p110(X82)
                                                                                                                & ~ p111(X82)
                                                                                                                & ~ p11(X82) )
                                                                                                            | ~ r1(X20,X82) ) ) )
                                                                                                  & ( ~ ( p110(X20)
                                                                                                        & ~ p111(X20) )
                                                                                                    | ( ~ ! [X83] :
                                                                                                            ( ~ ( p111(X83)
                                                                                                                & ~ p112(X83)
                                                                                                                & p12(X83) )
                                                                                                            | ~ r1(X20,X83) )
                                                                                                      & ~ ! [X84] :
                                                                                                            ( ~ ( p111(X84)
                                                                                                                & ~ p112(X84)
                                                                                                                & ~ p12(X84) )
                                                                                                            | ~ r1(X20,X84) ) ) )
                                                                                                  & ( ~ ( p111(X20)
                                                                                                        & ~ p112(X20) )
                                                                                                    | ( ~ ! [X85] :
                                                                                                            ( ~ ( p112(X85)
                                                                                                                & ~ p113(X85)
                                                                                                                & p13(X85) )
                                                                                                            | ~ r1(X20,X85) )
                                                                                                      & ~ ! [X86] :
                                                                                                            ( ~ ( p112(X86)
                                                                                                                & ~ p113(X86)
                                                                                                                & ~ p13(X86) )
                                                                                                            | ~ r1(X20,X86) ) ) )
                                                                                                  & ( ~ ( p112(X20)
                                                                                                        & ~ p113(X20) )
                                                                                                    | ( ~ ! [X87] :
                                                                                                            ( ~ ( p113(X87)
                                                                                                                & ~ p114(X87)
                                                                                                                & p14(X87) )
                                                                                                            | ~ r1(X20,X87) )
                                                                                                      & ~ ! [X88] :
                                                                                                            ( ~ ( p113(X88)
                                                                                                                & ~ p114(X88)
                                                                                                                & ~ p14(X88) )
                                                                                                            | ~ r1(X20,X88) ) ) )
                                                                                                  & ( ~ ( p113(X20)
                                                                                                        & ~ p114(X20) )
                                                                                                    | ( ~ ! [X89] :
                                                                                                            ( ~ ( p114(X89)
                                                                                                                & ~ p115(X89)
                                                                                                                & p15(X89) )
                                                                                                            | ~ r1(X20,X89) )
                                                                                                      & ~ ! [X90] :
                                                                                                            ( ~ ( p114(X90)
                                                                                                                & ~ p115(X90)
                                                                                                                & ~ p15(X90) )
                                                                                                            | ~ r1(X20,X90) ) ) )
                                                                                                  & ( ~ ( p114(X20)
                                                                                                        & ~ p115(X20) )
                                                                                                    | ( ~ ! [X91] :
                                                                                                            ( ~ ( p115(X91)
                                                                                                                & ~ p116(X91)
                                                                                                                & p16(X91) )
                                                                                                            | ~ r1(X20,X91) )
                                                                                                      & ~ ! [X92] :
                                                                                                            ( ~ ( p115(X92)
                                                                                                                & ~ p116(X92)
                                                                                                                & ~ p16(X92) )
                                                                                                            | ~ r1(X20,X92) ) ) )
                                                                                                  & ( ~ ( p115(X20)
                                                                                                        & ~ p116(X20) )
                                                                                                    | ( ~ ! [X93] :
                                                                                                            ( ~ ( p116(X93)
                                                                                                                & ~ p117(X93)
                                                                                                                & p17(X93) )
                                                                                                            | ~ r1(X20,X93) )
                                                                                                      & ~ ! [X94] :
                                                                                                            ( ~ ( p116(X94)
                                                                                                                & ~ p117(X94)
                                                                                                                & ~ p17(X94) )
                                                                                                            | ~ r1(X20,X94) ) ) )
                                                                                                  & ( ~ ( p116(X20)
                                                                                                        & ~ p117(X20) )
                                                                                                    | ( ~ ! [X95] :
                                                                                                            ( ~ ( p117(X95)
                                                                                                                & ~ p118(X95)
                                                                                                                & p18(X95) )
                                                                                                            | ~ r1(X20,X95) )
                                                                                                      & ~ ! [X96] :
                                                                                                            ( ~ ( p117(X96)
                                                                                                                & ~ p118(X96)
                                                                                                                & ~ p18(X96) )
                                                                                                            | ~ r1(X20,X96) ) ) )
                                                                                                  & ( ~ ( p117(X20)
                                                                                                        & ~ p118(X20) )
                                                                                                    | ( ~ ! [X97] :
                                                                                                            ( ~ ( p118(X97)
                                                                                                                & ~ p119(X97)
                                                                                                                & p19(X97) )
                                                                                                            | ~ r1(X20,X97) )
                                                                                                      & ~ ! [X98] :
                                                                                                            ( ~ ( p118(X98)
                                                                                                                & ~ p119(X98)
                                                                                                                & ~ p19(X98) )
                                                                                                            | ~ r1(X20,X98) ) ) )
                                                                                                  & ( ~ ( p118(X20)
                                                                                                        & ~ p119(X20) )
                                                                                                    | ( ~ ! [X99] :
                                                                                                            ( ~ ( p119(X99)
                                                                                                                & ~ p120(X99)
                                                                                                                & p20(X99) )
                                                                                                            | ~ r1(X20,X99) )
                                                                                                      & ~ ! [X100] :
                                                                                                            ( ~ ( p119(X100)
                                                                                                                & ~ p120(X100)
                                                                                                                & ~ p20(X100) )
                                                                                                            | ~ r1(X20,X100) ) ) )
                                                                                                  & ( ~ ( p119(X20)
                                                                                                        & ~ p120(X20) )
                                                                                                    | ( ~ ! [X101] :
                                                                                                            ( ~ ( p120(X101)
                                                                                                                & ~ p121(X101)
                                                                                                                & p21(X101) )
                                                                                                            | ~ r1(X20,X101) )
                                                                                                      & ~ ! [X102] :
                                                                                                            ( ~ ( p120(X102)
                                                                                                                & ~ p121(X102)
                                                                                                                & ~ p21(X102) )
                                                                                                            | ~ r1(X20,X102) ) ) ) )
                                                                                                | ~ r1(X19,X20) )
                                                                                            | ~ r1(X18,X19) )
                                                                                        | ~ r1(X17,X18) )
                                                                                    | ~ r1(X16,X17) )
                                                                                | ~ r1(X15,X16) )
                                                                            | ~ r1(X14,X15) )
                                                                        | ~ r1(X13,X14) )
                                                                    | ~ r1(X12,X13) )
                                                                | ~ r1(X11,X12) )
                                                            | ~ r1(X10,X11) )
                                                        | ~ r1(X9,X10) )
                                                    | ~ r1(X8,X9) )
                                                | ~ r1(X7,X8) )
                                            | ~ r1(X6,X7) )
                                        | ~ r1(X5,X6) )
                                    | ~ r1(X4,X5) )
                                | ~ r1(X3,X4) )
                            | ~ r1(X2,X3) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X0,X1) ) )
            | ~ ! [X103] :
                  ( ! [X104] :
                      ( ! [X105] :
                          ( ! [X106] :
                              ( ! [X107] :
                                  ( ! [X108] :
                                      ( ! [X109] :
                                          ( ! [X110] :
                                              ( ! [X111] :
                                                  ( ! [X112] :
                                                      ( ! [X113] :
                                                          ( ! [X114] :
                                                              ( ! [X115] :
                                                                  ( ! [X116] :
                                                                      ( ! [X117] :
                                                                          ( ! [X118] :
                                                                              ( ! [X119] :
                                                                                  ( ! [X120] :
                                                                                      ( ! [X121] :
                                                                                          ( ! [X122] :
                                                                                              ( p8(X122)
                                                                                              | ~ r1(X121,X122) )
                                                                                          | ~ r1(X120,X121) )
                                                                                      | ~ r1(X119,X120) )
                                                                                  | ~ r1(X118,X119) )
                                                                              | ~ r1(X117,X118) )
                                                                          | ~ r1(X116,X117) )
                                                                      | ~ r1(X115,X116) )
                                                                  | ~ r1(X114,X115) )
                                                              | ~ r1(X113,X114) )
                                                          | ~ r1(X112,X113) )
                                                      | ~ r1(X111,X112) )
                                                  | ~ r1(X110,X111) )
                                              | ~ r1(X109,X110) )
                                          | ~ r1(X108,X109) )
                                      | ~ r1(X107,X108) )
                                  | ~ r1(X106,X107) )
                              | ~ r1(X105,X106) )
                          | ~ r1(X104,X105) )
                      | ~ r1(X103,X104) )
                  | ~ r1(X0,X103) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ( p100(X0)
                & ~ p101(X0)
                & ! [X1] :
                    ( ! [X0] :
                        ( ! [X1] :
                            ( ! [X0] :
                                ( ! [X1] :
                                    ( ! [X0] :
                                        ( ! [X1] :
                                            ( ! [X0] :
                                                ( ! [X1] :
                                                    ( ! [X0] :
                                                        ( ! [X1] :
                                                            ( ! [X0] :
                                                                ( ! [X1] :
                                                                    ( ! [X0] :
                                                                        ( ! [X1] :
                                                                            ( ! [X0] :
                                                                                ( ! [X1] :
                                                                                    ( ! [X0] :
                                                                                        ( ! [X1] :
                                                                                            ( ! [X0] :
                                                                                                ( ( ( ~ p101(X0)
                                                                                                    | p100(X0) )
                                                                                                  & ( ~ p102(X0)
                                                                                                    | p101(X0) )
                                                                                                  & ( ~ p103(X0)
                                                                                                    | p102(X0) )
                                                                                                  & ( ~ p104(X0)
                                                                                                    | p103(X0) )
                                                                                                  & ( ~ p105(X0)
                                                                                                    | p104(X0) )
                                                                                                  & ( ~ p106(X0)
                                                                                                    | p105(X0) )
                                                                                                  & ( ~ p107(X0)
                                                                                                    | p106(X0) )
                                                                                                  & ( ~ p108(X0)
                                                                                                    | p107(X0) )
                                                                                                  & ( ~ p109(X0)
                                                                                                    | p108(X0) )
                                                                                                  & ( ~ p110(X0)
                                                                                                    | p109(X0) )
                                                                                                  & ( ~ p111(X0)
                                                                                                    | p110(X0) )
                                                                                                  & ( ~ p112(X0)
                                                                                                    | p111(X0) )
                                                                                                  & ( ~ p113(X0)
                                                                                                    | p112(X0) )
                                                                                                  & ( ~ p114(X0)
                                                                                                    | p113(X0) )
                                                                                                  & ( ~ p115(X0)
                                                                                                    | p114(X0) )
                                                                                                  & ( ~ p116(X0)
                                                                                                    | p115(X0) )
                                                                                                  & ( ~ p117(X0)
                                                                                                    | p116(X0) )
                                                                                                  & ( ~ p118(X0)
                                                                                                    | p117(X0) )
                                                                                                  & ( ~ p119(X0)
                                                                                                    | p118(X0) )
                                                                                                  & ( ~ p120(X0)
                                                                                                    | p119(X0) )
                                                                                                  & ( ~ p121(X0)
                                                                                                    | p120(X0) )
                                                                                                  & ( ~ p100(X0)
                                                                                                    | ( ( ~ p1(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p100(X1)
                                                                                                            | p1(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p1(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p100(X1)
                                                                                                            | ~ p1(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p101(X0)
                                                                                                    | ( ( ~ p2(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p101(X1)
                                                                                                            | p2(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p2(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p101(X1)
                                                                                                            | ~ p2(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p102(X0)
                                                                                                    | ( ( ~ p3(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p102(X1)
                                                                                                            | p3(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p3(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p102(X1)
                                                                                                            | ~ p3(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p103(X0)
                                                                                                    | ( ( ~ p4(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p103(X1)
                                                                                                            | p4(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p4(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p103(X1)
                                                                                                            | ~ p4(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p104(X0)
                                                                                                    | ( ( ~ p5(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p104(X1)
                                                                                                            | p5(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p5(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p104(X1)
                                                                                                            | ~ p5(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p105(X0)
                                                                                                    | ( ( ~ p6(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p105(X1)
                                                                                                            | p6(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p6(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p105(X1)
                                                                                                            | ~ p6(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p106(X0)
                                                                                                    | ( ( ~ p7(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p106(X1)
                                                                                                            | p7(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p7(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p106(X1)
                                                                                                            | ~ p7(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p107(X0)
                                                                                                    | ( ( ~ p8(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p107(X1)
                                                                                                            | p8(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p8(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p107(X1)
                                                                                                            | ~ p8(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p108(X0)
                                                                                                    | ( ( ~ p9(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p108(X1)
                                                                                                            | p9(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p9(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p108(X1)
                                                                                                            | ~ p9(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p109(X0)
                                                                                                    | ( ( ~ p10(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p109(X1)
                                                                                                            | p10(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p10(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p109(X1)
                                                                                                            | ~ p10(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p110(X0)
                                                                                                    | ( ( ~ p11(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p110(X1)
                                                                                                            | p11(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p11(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p110(X1)
                                                                                                            | ~ p11(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p111(X0)
                                                                                                    | ( ( ~ p12(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p111(X1)
                                                                                                            | p12(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p12(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p111(X1)
                                                                                                            | ~ p12(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p112(X0)
                                                                                                    | ( ( ~ p13(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p112(X1)
                                                                                                            | p13(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p13(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p112(X1)
                                                                                                            | ~ p13(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p113(X0)
                                                                                                    | ( ( ~ p14(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p113(X1)
                                                                                                            | p14(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p14(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p113(X1)
                                                                                                            | ~ p14(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p114(X0)
                                                                                                    | ( ( ~ p15(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p114(X1)
                                                                                                            | p15(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p15(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p114(X1)
                                                                                                            | ~ p15(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p115(X0)
                                                                                                    | ( ( ~ p16(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p115(X1)
                                                                                                            | p16(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p16(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p115(X1)
                                                                                                            | ~ p16(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p116(X0)
                                                                                                    | ( ( ~ p17(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p116(X1)
                                                                                                            | p17(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p17(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p116(X1)
                                                                                                            | ~ p17(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p117(X0)
                                                                                                    | ( ( ~ p18(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p117(X1)
                                                                                                            | p18(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p18(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p117(X1)
                                                                                                            | ~ p18(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p118(X0)
                                                                                                    | ( ( ~ p19(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p118(X1)
                                                                                                            | p19(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p19(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p118(X1)
                                                                                                            | ~ p19(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p119(X0)
                                                                                                    | ( ( ~ p20(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p119(X1)
                                                                                                            | p20(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p20(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p119(X1)
                                                                                                            | ~ p20(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ p120(X0)
                                                                                                    | ( ( ~ p21(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p120(X1)
                                                                                                            | p21(X1)
                                                                                                            | ~ r1(X0,X1) ) )
                                                                                                      & ( p21(X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ p120(X1)
                                                                                                            | ~ p21(X1)
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                  & ( ~ ( p100(X0)
                                                                                                        & ~ p101(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p101(X1)
                                                                                                                & ~ p102(X1)
                                                                                                                & p2(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p101(X1)
                                                                                                                & ~ p102(X1)
                                                                                                                & ~ p2(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p101(X0)
                                                                                                        & ~ p102(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p102(X1)
                                                                                                                & ~ p103(X1)
                                                                                                                & p3(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p102(X1)
                                                                                                                & ~ p103(X1)
                                                                                                                & ~ p3(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p102(X0)
                                                                                                        & ~ p103(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p103(X1)
                                                                                                                & ~ p104(X1)
                                                                                                                & p4(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p103(X1)
                                                                                                                & ~ p104(X1)
                                                                                                                & ~ p4(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p103(X0)
                                                                                                        & ~ p104(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p104(X1)
                                                                                                                & ~ p105(X1)
                                                                                                                & p5(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p104(X1)
                                                                                                                & ~ p105(X1)
                                                                                                                & ~ p5(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p104(X0)
                                                                                                        & ~ p105(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p105(X1)
                                                                                                                & ~ p106(X1)
                                                                                                                & p6(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p105(X1)
                                                                                                                & ~ p106(X1)
                                                                                                                & ~ p6(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p105(X0)
                                                                                                        & ~ p106(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p106(X1)
                                                                                                                & ~ p107(X1)
                                                                                                                & p7(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p106(X1)
                                                                                                                & ~ p107(X1)
                                                                                                                & ~ p7(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p106(X0)
                                                                                                        & ~ p107(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p107(X1)
                                                                                                                & ~ p108(X1)
                                                                                                                & p8(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p107(X1)
                                                                                                                & ~ p108(X1)
                                                                                                                & ~ p8(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p107(X0)
                                                                                                        & ~ p108(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p108(X1)
                                                                                                                & ~ p109(X1)
                                                                                                                & p9(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p108(X1)
                                                                                                                & ~ p109(X1)
                                                                                                                & ~ p9(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p108(X0)
                                                                                                        & ~ p109(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p109(X1)
                                                                                                                & ~ p110(X1)
                                                                                                                & p10(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p109(X1)
                                                                                                                & ~ p110(X1)
                                                                                                                & ~ p10(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p109(X0)
                                                                                                        & ~ p110(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p110(X1)
                                                                                                                & ~ p111(X1)
                                                                                                                & p11(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p110(X1)
                                                                                                                & ~ p111(X1)
                                                                                                                & ~ p11(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p110(X0)
                                                                                                        & ~ p111(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p111(X1)
                                                                                                                & ~ p112(X1)
                                                                                                                & p12(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p111(X1)
                                                                                                                & ~ p112(X1)
                                                                                                                & ~ p12(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p111(X0)
                                                                                                        & ~ p112(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p112(X1)
                                                                                                                & ~ p113(X1)
                                                                                                                & p13(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p112(X1)
                                                                                                                & ~ p113(X1)
                                                                                                                & ~ p13(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p112(X0)
                                                                                                        & ~ p113(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p113(X1)
                                                                                                                & ~ p114(X1)
                                                                                                                & p14(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p113(X1)
                                                                                                                & ~ p114(X1)
                                                                                                                & ~ p14(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p113(X0)
                                                                                                        & ~ p114(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p114(X1)
                                                                                                                & ~ p115(X1)
                                                                                                                & p15(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p114(X1)
                                                                                                                & ~ p115(X1)
                                                                                                                & ~ p15(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p114(X0)
                                                                                                        & ~ p115(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p115(X1)
                                                                                                                & ~ p116(X1)
                                                                                                                & p16(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p115(X1)
                                                                                                                & ~ p116(X1)
                                                                                                                & ~ p16(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p115(X0)
                                                                                                        & ~ p116(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p116(X1)
                                                                                                                & ~ p117(X1)
                                                                                                                & p17(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p116(X1)
                                                                                                                & ~ p117(X1)
                                                                                                                & ~ p17(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p116(X0)
                                                                                                        & ~ p117(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p117(X1)
                                                                                                                & ~ p118(X1)
                                                                                                                & p18(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p117(X1)
                                                                                                                & ~ p118(X1)
                                                                                                                & ~ p18(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p117(X0)
                                                                                                        & ~ p118(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p118(X1)
                                                                                                                & ~ p119(X1)
                                                                                                                & p19(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p118(X1)
                                                                                                                & ~ p119(X1)
                                                                                                                & ~ p19(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p118(X0)
                                                                                                        & ~ p119(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p119(X1)
                                                                                                                & ~ p120(X1)
                                                                                                                & p20(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p119(X1)
                                                                                                                & ~ p120(X1)
                                                                                                                & ~ p20(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) )
                                                                                                  & ( ~ ( p119(X0)
                                                                                                        & ~ p120(X0) )
                                                                                                    | ( ~ ! [X1] :
                                                                                                            ( ~ ( p120(X1)
                                                                                                                & ~ p121(X1)
                                                                                                                & p21(X1) )
                                                                                                            | ~ r1(X0,X1) )
                                                                                                      & ~ ! [X1] :
                                                                                                            ( ~ ( p120(X1)
                                                                                                                & ~ p121(X1)
                                                                                                                & ~ p21(X1) )
                                                                                                            | ~ r1(X0,X1) ) ) ) )
                                                                                                | ~ r1(X1,X0) )
                                                                                            | ~ r1(X0,X1) )
                                                                                        | ~ r1(X1,X0) )
                                                                                    | ~ r1(X0,X1) )
                                                                                | ~ r1(X1,X0) )
                                                                            | ~ r1(X0,X1) )
                                                                        | ~ r1(X1,X0) )
                                                                    | ~ r1(X0,X1) )
                                                                | ~ r1(X1,X0) )
                                                            | ~ r1(X0,X1) )
                                                        | ~ r1(X1,X0) )
                                                    | ~ r1(X0,X1) )
                                                | ~ r1(X1,X0) )
                                            | ~ r1(X0,X1) )
                                        | ~ r1(X1,X0) )
                                    | ~ r1(X0,X1) )
                                | ~ r1(X1,X0) )
                            | ~ r1(X0,X1) )
                        | ~ r1(X1,X0) )
                    | ~ r1(X0,X1) ) )
            | ~ ! [X1] :
                  ( ! [X0] :
                      ( ! [X1] :
                          ( ! [X0] :
                              ( ! [X1] :
                                  ( ! [X0] :
                                      ( ! [X1] :
                                          ( ! [X0] :
                                              ( ! [X1] :
                                                  ( ! [X0] :
                                                      ( ! [X1] :
                                                          ( ! [X0] :
                                                              ( ! [X1] :
                                                                  ( ! [X0] :
                                                                      ( ! [X1] :
                                                                          ( ! [X0] :
                                                                              ( ! [X1] :
                                                                                  ( ! [X0] :
                                                                                      ( ! [X1] :
                                                                                          ( ! [X0] :
                                                                                              ( p8(X0)
                                                                                              | ~ r1(X1,X0) )
                                                                                          | ~ r1(X0,X1) )
                                                                                      | ~ r1(X1,X0) )
                                                                                  | ~ r1(X0,X1) )
                                                                              | ~ r1(X1,X0) )
                                                                          | ~ r1(X0,X1) )
                                                                      | ~ r1(X1,X0) )
                                                                  | ~ r1(X0,X1) )
                                                              | ~ r1(X1,X0) )
                                                          | ~ r1(X0,X1) )
                                                      | ~ r1(X1,X0) )
                                                  | ~ r1(X0,X1) )
                                              | ~ r1(X1,X0) )
                                          | ~ r1(X0,X1) )
                                      | ~ r1(X1,X0) )
                                  | ~ r1(X0,X1) )
                              | ~ r1(X1,X0) )
                          | ~ r1(X0,X1) )
                      | ~ r1(X1,X0) )
                  | ~ r1(X0,X1) ) ),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ~ ? [X0] :
        ~ ( ~ ( p100(X0)
              & ~ p101(X0)
              & ! [X1] :
                  ( ! [X0] :
                      ( ! [X1] :
                          ( ! [X0] :
                              ( ! [X1] :
                                  ( ! [X0] :
                                      ( ! [X1] :
                                          ( ! [X0] :
                                              ( ! [X1] :
                                                  ( ! [X0] :
                                                      ( ! [X1] :
                                                          ( ! [X0] :
                                                              ( ! [X1] :
                                                                  ( ! [X0] :
                                                                      ( ! [X1] :
                                                                          ( ! [X0] :
                                                                              ( ! [X1] :
                                                                                  ( ! [X0] :
                                                                                      ( ! [X1] :
                                                                                          ( ! [X0] :
                                                                                              ( ( ( ~ p101(X0)
                                                                                                  | p100(X0) )
                                                                                                & ( ~ p102(X0)
                                                                                                  | p101(X0) )
                                                                                                & ( ~ p103(X0)
                                                                                                  | p102(X0) )
                                                                                                & ( ~ p104(X0)
                                                                                                  | p103(X0) )
                                                                                                & ( ~ p105(X0)
                                                                                                  | p104(X0) )
                                                                                                & ( ~ p106(X0)
                                                                                                  | p105(X0) )
                                                                                                & ( ~ p107(X0)
                                                                                                  | p106(X0) )
                                                                                                & ( ~ p108(X0)
                                                                                                  | p107(X0) )
                                                                                                & ( ~ p109(X0)
                                                                                                  | p108(X0) )
                                                                                                & ( ~ p110(X0)
                                                                                                  | p109(X0) )
                                                                                                & ( ~ p111(X0)
                                                                                                  | p110(X0) )
                                                                                                & ( ~ p112(X0)
                                                                                                  | p111(X0) )
                                                                                                & ( ~ p113(X0)
                                                                                                  | p112(X0) )
                                                                                                & ( ~ p114(X0)
                                                                                                  | p113(X0) )
                                                                                                & ( ~ p115(X0)
                                                                                                  | p114(X0) )
                                                                                                & ( ~ p116(X0)
                                                                                                  | p115(X0) )
                                                                                                & ( ~ p117(X0)
                                                                                                  | p116(X0) )
                                                                                                & ( ~ p118(X0)
                                                                                                  | p117(X0) )
                                                                                                & ( ~ p119(X0)
                                                                                                  | p118(X0) )
                                                                                                & ( ~ p120(X0)
                                                                                                  | p119(X0) )
                                                                                                & ( ~ p121(X0)
                                                                                                  | p120(X0) )
                                                                                                & ( ~ p100(X0)
                                                                                                  | ( ( ~ p1(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p100(X1)
                                                                                                          | p1(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p1(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p100(X1)
                                                                                                          | ~ p1(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p101(X0)
                                                                                                  | ( ( ~ p2(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p101(X1)
                                                                                                          | p2(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p2(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p101(X1)
                                                                                                          | ~ p2(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p102(X0)
                                                                                                  | ( ( ~ p3(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p102(X1)
                                                                                                          | p3(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p3(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p102(X1)
                                                                                                          | ~ p3(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p103(X0)
                                                                                                  | ( ( ~ p4(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p103(X1)
                                                                                                          | p4(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p4(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p103(X1)
                                                                                                          | ~ p4(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p104(X0)
                                                                                                  | ( ( ~ p5(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p104(X1)
                                                                                                          | p5(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p5(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p104(X1)
                                                                                                          | ~ p5(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p105(X0)
                                                                                                  | ( ( ~ p6(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p105(X1)
                                                                                                          | p6(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p6(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p105(X1)
                                                                                                          | ~ p6(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p106(X0)
                                                                                                  | ( ( ~ p7(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p106(X1)
                                                                                                          | p7(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p7(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p106(X1)
                                                                                                          | ~ p7(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p107(X0)
                                                                                                  | ( ( ~ p8(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p107(X1)
                                                                                                          | p8(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p8(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p107(X1)
                                                                                                          | ~ p8(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p108(X0)
                                                                                                  | ( ( ~ p9(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p108(X1)
                                                                                                          | p9(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p9(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p108(X1)
                                                                                                          | ~ p9(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p109(X0)
                                                                                                  | ( ( ~ p10(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p109(X1)
                                                                                                          | p10(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p10(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p109(X1)
                                                                                                          | ~ p10(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p110(X0)
                                                                                                  | ( ( ~ p11(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p110(X1)
                                                                                                          | p11(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p11(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p110(X1)
                                                                                                          | ~ p11(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p111(X0)
                                                                                                  | ( ( ~ p12(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p111(X1)
                                                                                                          | p12(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p12(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p111(X1)
                                                                                                          | ~ p12(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p112(X0)
                                                                                                  | ( ( ~ p13(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p112(X1)
                                                                                                          | p13(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p13(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p112(X1)
                                                                                                          | ~ p13(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p113(X0)
                                                                                                  | ( ( ~ p14(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p113(X1)
                                                                                                          | p14(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p14(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p113(X1)
                                                                                                          | ~ p14(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p114(X0)
                                                                                                  | ( ( ~ p15(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p114(X1)
                                                                                                          | p15(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p15(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p114(X1)
                                                                                                          | ~ p15(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p115(X0)
                                                                                                  | ( ( ~ p16(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p115(X1)
                                                                                                          | p16(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p16(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p115(X1)
                                                                                                          | ~ p16(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p116(X0)
                                                                                                  | ( ( ~ p17(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p116(X1)
                                                                                                          | p17(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p17(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p116(X1)
                                                                                                          | ~ p17(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p117(X0)
                                                                                                  | ( ( ~ p18(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p117(X1)
                                                                                                          | p18(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p18(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p117(X1)
                                                                                                          | ~ p18(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p118(X0)
                                                                                                  | ( ( ~ p19(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p118(X1)
                                                                                                          | p19(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p19(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p118(X1)
                                                                                                          | ~ p19(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p119(X0)
                                                                                                  | ( ( ~ p20(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p119(X1)
                                                                                                          | p20(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p20(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p119(X1)
                                                                                                          | ~ p20(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ p120(X0)
                                                                                                  | ( ( ~ p21(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p120(X1)
                                                                                                          | p21(X1)
                                                                                                          | ~ r1(X0,X1) ) )
                                                                                                    & ( p21(X0)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ p120(X1)
                                                                                                          | ~ p21(X1)
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                                & ( ~ ( p100(X0)
                                                                                                      & ~ p101(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p101(X1)
                                                                                                              & ~ p102(X1)
                                                                                                              & p2(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p101(X1)
                                                                                                              & ~ p102(X1)
                                                                                                              & ~ p2(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p101(X0)
                                                                                                      & ~ p102(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p102(X1)
                                                                                                              & ~ p103(X1)
                                                                                                              & p3(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p102(X1)
                                                                                                              & ~ p103(X1)
                                                                                                              & ~ p3(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p102(X0)
                                                                                                      & ~ p103(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p103(X1)
                                                                                                              & ~ p104(X1)
                                                                                                              & p4(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p103(X1)
                                                                                                              & ~ p104(X1)
                                                                                                              & ~ p4(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p103(X0)
                                                                                                      & ~ p104(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p104(X1)
                                                                                                              & ~ p105(X1)
                                                                                                              & p5(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p104(X1)
                                                                                                              & ~ p105(X1)
                                                                                                              & ~ p5(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p104(X0)
                                                                                                      & ~ p105(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p105(X1)
                                                                                                              & ~ p106(X1)
                                                                                                              & p6(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p105(X1)
                                                                                                              & ~ p106(X1)
                                                                                                              & ~ p6(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p105(X0)
                                                                                                      & ~ p106(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p106(X1)
                                                                                                              & ~ p107(X1)
                                                                                                              & p7(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p106(X1)
                                                                                                              & ~ p107(X1)
                                                                                                              & ~ p7(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p106(X0)
                                                                                                      & ~ p107(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p107(X1)
                                                                                                              & ~ p108(X1)
                                                                                                              & p8(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p107(X1)
                                                                                                              & ~ p108(X1)
                                                                                                              & ~ p8(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p107(X0)
                                                                                                      & ~ p108(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p108(X1)
                                                                                                              & ~ p109(X1)
                                                                                                              & p9(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p108(X1)
                                                                                                              & ~ p109(X1)
                                                                                                              & ~ p9(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p108(X0)
                                                                                                      & ~ p109(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p109(X1)
                                                                                                              & ~ p110(X1)
                                                                                                              & p10(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p109(X1)
                                                                                                              & ~ p110(X1)
                                                                                                              & ~ p10(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p109(X0)
                                                                                                      & ~ p110(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p110(X1)
                                                                                                              & ~ p111(X1)
                                                                                                              & p11(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p110(X1)
                                                                                                              & ~ p111(X1)
                                                                                                              & ~ p11(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p110(X0)
                                                                                                      & ~ p111(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p111(X1)
                                                                                                              & ~ p112(X1)
                                                                                                              & p12(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p111(X1)
                                                                                                              & ~ p112(X1)
                                                                                                              & ~ p12(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p111(X0)
                                                                                                      & ~ p112(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p112(X1)
                                                                                                              & ~ p113(X1)
                                                                                                              & p13(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p112(X1)
                                                                                                              & ~ p113(X1)
                                                                                                              & ~ p13(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p112(X0)
                                                                                                      & ~ p113(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p113(X1)
                                                                                                              & ~ p114(X1)
                                                                                                              & p14(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p113(X1)
                                                                                                              & ~ p114(X1)
                                                                                                              & ~ p14(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p113(X0)
                                                                                                      & ~ p114(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p114(X1)
                                                                                                              & ~ p115(X1)
                                                                                                              & p15(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p114(X1)
                                                                                                              & ~ p115(X1)
                                                                                                              & ~ p15(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p114(X0)
                                                                                                      & ~ p115(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p115(X1)
                                                                                                              & ~ p116(X1)
                                                                                                              & p16(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p115(X1)
                                                                                                              & ~ p116(X1)
                                                                                                              & ~ p16(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p115(X0)
                                                                                                      & ~ p116(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p116(X1)
                                                                                                              & ~ p117(X1)
                                                                                                              & p17(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p116(X1)
                                                                                                              & ~ p117(X1)
                                                                                                              & ~ p17(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p116(X0)
                                                                                                      & ~ p117(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p117(X1)
                                                                                                              & ~ p118(X1)
                                                                                                              & p18(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p117(X1)
                                                                                                              & ~ p118(X1)
                                                                                                              & ~ p18(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p117(X0)
                                                                                                      & ~ p118(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p118(X1)
                                                                                                              & ~ p119(X1)
                                                                                                              & p19(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p118(X1)
                                                                                                              & ~ p119(X1)
                                                                                                              & ~ p19(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p118(X0)
                                                                                                      & ~ p119(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p119(X1)
                                                                                                              & ~ p120(X1)
                                                                                                              & p20(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p119(X1)
                                                                                                              & ~ p120(X1)
                                                                                                              & ~ p20(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) )
                                                                                                & ( ~ ( p119(X0)
                                                                                                      & ~ p120(X0) )
                                                                                                  | ( ~ ! [X1] :
                                                                                                          ( ~ ( p120(X1)
                                                                                                              & ~ p121(X1)
                                                                                                              & p21(X1) )
                                                                                                          | ~ r1(X0,X1) )
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ ( p120(X1)
                                                                                                              & ~ p121(X1)
                                                                                                              & ~ p21(X1) )
                                                                                                          | ~ r1(X0,X1) ) ) ) )
                                                                                              | ~ r1(X1,X0) )
                                                                                          | ~ r1(X0,X1) )
                                                                                      | ~ r1(X1,X0) )
                                                                                  | ~ r1(X0,X1) )
                                                                              | ~ r1(X1,X0) )
                                                                          | ~ r1(X0,X1) )
                                                                      | ~ r1(X1,X0) )
                                                                  | ~ r1(X0,X1) )
                                                              | ~ r1(X1,X0) )
                                                          | ~ r1(X0,X1) )
                                                      | ~ r1(X1,X0) )
                                                  | ~ r1(X0,X1) )
                                              | ~ r1(X1,X0) )
                                          | ~ r1(X0,X1) )
                                      | ~ r1(X1,X0) )
                                  | ~ r1(X0,X1) )
                              | ~ r1(X1,X0) )
                          | ~ r1(X0,X1) )
                      | ~ r1(X1,X0) )
                  | ~ r1(X0,X1) ) )
          | ~ ! [X1] :
                ( ! [X0] :
                    ( ! [X1] :
                        ( ! [X0] :
                            ( ! [X1] :
                                ( ! [X0] :
                                    ( ! [X1] :
                                        ( ! [X0] :
                                            ( ! [X1] :
                                                ( ! [X0] :
                                                    ( ! [X1] :
                                                        ( ! [X0] :
                                                            ( ! [X1] :
                                                                ( ! [X0] :
                                                                    ( ! [X1] :
                                                                        ( ! [X0] :
                                                                            ( ! [X1] :
                                                                                ( ! [X0] :
                                                                                    ( ! [X1] :
                                                                                        ( ! [X0] :
                                                                                            ( p8(X0)
                                                                                            | ~ r1(X1,X0) )
                                                                                        | ~ r1(X0,X1) )
                                                                                    | ~ r1(X1,X0) )
                                                                                | ~ r1(X0,X1) )
                                                                            | ~ r1(X1,X0) )
                                                                        | ~ r1(X0,X1) )
                                                                    | ~ r1(X1,X0) )
                                                                | ~ r1(X0,X1) )
                                                            | ~ r1(X1,X0) )
                                                        | ~ r1(X0,X1) )
                                                    | ~ r1(X1,X0) )
                                                | ~ r1(X0,X1) )
                                            | ~ r1(X1,X0) )
                                        | ~ r1(X0,X1) )
                                    | ~ r1(X1,X0) )
                                | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) )
                        | ~ r1(X0,X1) )
                    | ~ r1(X1,X0) )
                | ~ r1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(f871,plain,
    ( sP39(sK122)
    | ~ p100(sK122) ),
    inference(subsumption_resolution,[],[f869,f642]) ).

fof(f642,plain,
    ~ p101(sK122),
    inference(cnf_transformation,[],[f338]) ).

fof(f869,plain,
    ( p101(sK122)
    | sP39(sK122)
    | ~ p100(sK122) ),
    inference(resolution,[],[f788,f443]) ).

fof(f443,plain,
    ! [X0] :
      ( ~ sP59(X0)
      | p101(X0)
      | sP39(X0)
      | ~ p100(X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | ( sP39(X0)
        & sP38(X0) )
      | ~ sP59(X0) ),
    inference(rectify,[],[f136]) ).

fof(f136,plain,
    ! [X20] :
      ( ~ p100(X20)
      | p101(X20)
      | ( sP39(X20)
        & sP38(X20) )
      | ~ sP59(X20) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f788,plain,
    sP59(sK122),
    inference(resolution,[],[f768,f358]) ).

fof(f358,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP59(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ( ( ~ p101(X0)
          | p100(X0) )
        & ( ~ p102(X0)
          | p101(X0) )
        & ( ~ p103(X0)
          | p102(X0) )
        & ( ~ p104(X0)
          | p103(X0) )
        & ( ~ p105(X0)
          | p104(X0) )
        & ( ~ p106(X0)
          | p105(X0) )
        & ( ~ p107(X0)
          | p106(X0) )
        & ( ~ p108(X0)
          | p107(X0) )
        & ( ~ p109(X0)
          | p108(X0) )
        & ( ~ p110(X0)
          | p109(X0) )
        & ( ~ p111(X0)
          | p110(X0) )
        & ( ~ p112(X0)
          | p111(X0) )
        & ( ~ p113(X0)
          | p112(X0) )
        & ( ~ p114(X0)
          | p113(X0) )
        & ( ~ p115(X0)
          | p114(X0) )
        & ( ~ p116(X0)
          | p115(X0) )
        & ( ~ p117(X0)
          | p116(X0) )
        & ( ~ p118(X0)
          | p117(X0) )
        & ( ~ p119(X0)
          | p118(X0) )
        & ( ~ p120(X0)
          | p119(X0) )
        & sP80(X0)
        & sP79(X0)
        & sP78(X0)
        & sP77(X0)
        & sP76(X0)
        & sP75(X0)
        & sP74(X0)
        & sP73(X0)
        & sP72(X0)
        & sP71(X0)
        & sP70(X0)
        & sP69(X0)
        & sP68(X0)
        & sP67(X0)
        & sP66(X0)
        & sP65(X0)
        & sP64(X0)
        & sP63(X0)
        & sP62(X0)
        & sP61(X0)
        & sP60(X0)
        & sP59(X0)
        & sP58(X0)
        & sP57(X0)
        & sP56(X0)
        & sP55(X0)
        & sP54(X0)
        & sP53(X0)
        & sP52(X0)
        & sP51(X0)
        & sP50(X0)
        & sP49(X0)
        & sP48(X0)
        & sP47(X0)
        & sP46(X0)
        & sP45(X0)
        & sP44(X0)
        & sP43(X0)
        & sP42(X0)
        & sP41(X0)
        & sP40(X0) )
      | ~ sP81(X0) ),
    inference(rectify,[],[f92]) ).

fof(f92,plain,
    ! [X20] :
      ( ( ( ~ p101(X20)
          | p100(X20) )
        & ( ~ p102(X20)
          | p101(X20) )
        & ( ~ p103(X20)
          | p102(X20) )
        & ( ~ p104(X20)
          | p103(X20) )
        & ( ~ p105(X20)
          | p104(X20) )
        & ( ~ p106(X20)
          | p105(X20) )
        & ( ~ p107(X20)
          | p106(X20) )
        & ( ~ p108(X20)
          | p107(X20) )
        & ( ~ p109(X20)
          | p108(X20) )
        & ( ~ p110(X20)
          | p109(X20) )
        & ( ~ p111(X20)
          | p110(X20) )
        & ( ~ p112(X20)
          | p111(X20) )
        & ( ~ p113(X20)
          | p112(X20) )
        & ( ~ p114(X20)
          | p113(X20) )
        & ( ~ p115(X20)
          | p114(X20) )
        & ( ~ p116(X20)
          | p115(X20) )
        & ( ~ p117(X20)
          | p116(X20) )
        & ( ~ p118(X20)
          | p117(X20) )
        & ( ~ p119(X20)
          | p118(X20) )
        & ( ~ p120(X20)
          | p119(X20) )
        & sP80(X20)
        & sP79(X20)
        & sP78(X20)
        & sP77(X20)
        & sP76(X20)
        & sP75(X20)
        & sP74(X20)
        & sP73(X20)
        & sP72(X20)
        & sP71(X20)
        & sP70(X20)
        & sP69(X20)
        & sP68(X20)
        & sP67(X20)
        & sP66(X20)
        & sP65(X20)
        & sP64(X20)
        & sP63(X20)
        & sP62(X20)
        & sP61(X20)
        & sP60(X20)
        & sP59(X20)
        & sP58(X20)
        & sP57(X20)
        & sP56(X20)
        & sP55(X20)
        & sP54(X20)
        & sP53(X20)
        & sP52(X20)
        & sP51(X20)
        & sP50(X20)
        & sP49(X20)
        & sP48(X20)
        & sP47(X20)
        & sP46(X20)
        & sP45(X20)
        & sP44(X20)
        & sP43(X20)
        & sP42(X20)
        & sP41(X20)
        & sP40(X20) )
      | ~ sP81(X20) ),
    inference(nnf_transformation,[],[f90]) ).

fof(f768,plain,
    sP81(sK122),
    inference(resolution,[],[f767,f644]) ).

fof(f644,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(f767,plain,
    ! [X0] :
      ( ~ r1(sK122,X0)
      | sP81(X0) ),
    inference(resolution,[],[f766,f644]) ).

fof(f766,plain,
    ! [X0,X1] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(sK122,X1) ),
    inference(resolution,[],[f765,f644]) ).

fof(f765,plain,
    ! [X2,X0,X1] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(sK122,X2) ),
    inference(resolution,[],[f764,f644]) ).

fof(f764,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(sK122,X3) ),
    inference(resolution,[],[f763,f644]) ).

fof(f763,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(sK122,X4) ),
    inference(resolution,[],[f762,f644]) ).

fof(f762,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(sK122,X5) ),
    inference(resolution,[],[f761,f644]) ).

fof(f761,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(sK122,X6) ),
    inference(resolution,[],[f760,f644]) ).

fof(f760,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(sK122,X7) ),
    inference(resolution,[],[f759,f644]) ).

fof(f759,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(sK122,X8) ),
    inference(resolution,[],[f758,f644]) ).

fof(f758,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(sK122,X9) ),
    inference(resolution,[],[f757,f644]) ).

fof(f757,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(sK122,X10) ),
    inference(resolution,[],[f756,f644]) ).

fof(f756,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(sK122,X11) ),
    inference(resolution,[],[f755,f644]) ).

fof(f755,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(sK122,X12) ),
    inference(resolution,[],[f754,f644]) ).

fof(f754,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(sK122,X13) ),
    inference(resolution,[],[f753,f644]) ).

fof(f753,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(X14,X13)
      | ~ r1(sK122,X14) ),
    inference(resolution,[],[f752,f644]) ).

fof(f752,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(X14,X13)
      | ~ r1(X15,X14)
      | ~ r1(sK122,X15) ),
    inference(resolution,[],[f751,f644]) ).

fof(f751,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(X14,X13)
      | ~ r1(X15,X14)
      | ~ r1(X16,X15)
      | ~ r1(sK122,X16) ),
    inference(resolution,[],[f750,f644]) ).

fof(f750,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(X14,X13)
      | ~ r1(X15,X14)
      | ~ r1(X16,X15)
      | ~ r1(X17,X16)
      | ~ r1(sK122,X17) ),
    inference(resolution,[],[f741,f644]) ).

fof(f741,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | sP81(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(X14,X13)
      | ~ r1(X15,X14)
      | ~ r1(X16,X15)
      | ~ r1(X17,X16)
      | ~ r1(X18,X17)
      | ~ r1(sK122,X18) ),
    inference(resolution,[],[f641,f644]) ).

fof(f641,plain,
    ! [X2,X3,X10,X11,X18,X8,X19,X9,X16,X14,X7,X6,X4,X1,X17,X15,X5,X12,X13,X20] :
      ( ~ r1(X19,X20)
      | sP81(X20)
      | ~ r1(X18,X19)
      | ~ r1(X17,X18)
      | ~ r1(X16,X17)
      | ~ r1(X15,X16)
      | ~ r1(X14,X15)
      | ~ r1(X13,X14)
      | ~ r1(X12,X13)
      | ~ r1(X11,X12)
      | ~ r1(X10,X11)
      | ~ r1(X9,X10)
      | ~ r1(X8,X9)
      | ~ r1(X7,X8)
      | ~ r1(X6,X7)
      | ~ r1(X5,X6)
      | ~ r1(X4,X5)
      | ~ r1(X3,X4)
      | ~ r1(X2,X3)
      | ~ r1(X1,X2)
      | ~ r1(sK122,X1) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f26944,plain,
    ~ r1(sK122,sK82(sK122)),
    inference(resolution,[],[f26942,f1113]) ).

fof(f1113,plain,
    r1(sK82(sK122),sK84(sK82(sK122))),
    inference(resolution,[],[f1108,f490]) ).

fof(f490,plain,
    ! [X0] :
      ( ~ sP37(X0)
      | r1(X0,sK84(X0)) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X0] :
      ( ( p102(sK84(X0))
        & ~ p103(sK84(X0))
        & p3(sK84(X0))
        & r1(X0,sK84(X0)) )
      | ~ sP37(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK84])],[f185,f186]) ).

fof(f186,plain,
    ! [X0] :
      ( ? [X1] :
          ( p102(X1)
          & ~ p103(X1)
          & p3(X1)
          & r1(X0,X1) )
     => ( p102(sK84(X0))
        & ~ p103(sK84(X0))
        & p3(sK84(X0))
        & r1(X0,sK84(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f185,plain,
    ! [X0] :
      ( ? [X1] :
          ( p102(X1)
          & ~ p103(X1)
          & p3(X1)
          & r1(X0,X1) )
      | ~ sP37(X0) ),
    inference(rectify,[],[f184]) ).

fof(f184,plain,
    ! [X20] :
      ( ? [X65] :
          ( p102(X65)
          & ~ p103(X65)
          & p3(X65)
          & r1(X20,X65) )
      | ~ sP37(X20) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f1108,plain,
    sP37(sK82(sK122)),
    inference(subsumption_resolution,[],[f1107,f876]) ).

fof(f876,plain,
    p101(sK82(sK122)),
    inference(resolution,[],[f872,f485]) ).

fof(f485,plain,
    ! [X0] :
      ( ~ sP39(X0)
      | p101(sK82(X0)) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f1107,plain,
    ( sP37(sK82(sK122))
    | ~ p101(sK82(sK122)) ),
    inference(subsumption_resolution,[],[f1105,f877]) ).

fof(f877,plain,
    ~ p102(sK82(sK122)),
    inference(resolution,[],[f872,f484]) ).

fof(f484,plain,
    ! [X0] :
      ( ~ sP39(X0)
      | ~ p102(sK82(X0)) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f1105,plain,
    ( p102(sK82(sK122))
    | sP37(sK82(sK122))
    | ~ p101(sK82(sK122)) ),
    inference(resolution,[],[f1024,f445]) ).

fof(f445,plain,
    ! [X0] :
      ( ~ sP58(X0)
      | p102(X0)
      | sP37(X0)
      | ~ p101(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ p101(X0)
      | p102(X0)
      | ( sP37(X0)
        & sP36(X0) )
      | ~ sP58(X0) ),
    inference(rectify,[],[f138]) ).

fof(f138,plain,
    ! [X20] :
      ( ~ p101(X20)
      | p102(X20)
      | ( sP37(X20)
        & sP36(X20) )
      | ~ sP58(X20) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f1024,plain,
    sP58(sK82(sK122)),
    inference(resolution,[],[f884,f357]) ).

fof(f357,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP58(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f884,plain,
    sP81(sK82(sK122)),
    inference(resolution,[],[f875,f767]) ).

fof(f26942,plain,
    ! [X0] :
      ( ~ r1(X0,sK84(sK82(sK122)))
      | ~ r1(sK122,X0) ),
    inference(resolution,[],[f26940,f1591]) ).

fof(f1591,plain,
    r1(sK84(sK82(sK122)),sK86(sK84(sK82(sK122)))),
    inference(resolution,[],[f1583,f498]) ).

fof(f498,plain,
    ! [X0] :
      ( ~ sP35(X0)
      | r1(X0,sK86(X0)) ),
    inference(cnf_transformation,[],[f195]) ).

fof(f195,plain,
    ! [X0] :
      ( ( p103(sK86(X0))
        & ~ p104(sK86(X0))
        & p4(sK86(X0))
        & r1(X0,sK86(X0)) )
      | ~ sP35(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK86])],[f193,f194]) ).

fof(f194,plain,
    ! [X0] :
      ( ? [X1] :
          ( p103(X1)
          & ~ p104(X1)
          & p4(X1)
          & r1(X0,X1) )
     => ( p103(sK86(X0))
        & ~ p104(sK86(X0))
        & p4(sK86(X0))
        & r1(X0,sK86(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f193,plain,
    ! [X0] :
      ( ? [X1] :
          ( p103(X1)
          & ~ p104(X1)
          & p4(X1)
          & r1(X0,X1) )
      | ~ sP35(X0) ),
    inference(rectify,[],[f192]) ).

fof(f192,plain,
    ! [X20] :
      ( ? [X67] :
          ( p103(X67)
          & ~ p104(X67)
          & p4(X67)
          & r1(X20,X67) )
      | ~ sP35(X20) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f1583,plain,
    sP35(sK84(sK82(sK122))),
    inference(subsumption_resolution,[],[f1582,f1114]) ).

fof(f1114,plain,
    p102(sK84(sK82(sK122))),
    inference(resolution,[],[f1108,f493]) ).

fof(f493,plain,
    ! [X0] :
      ( ~ sP37(X0)
      | p102(sK84(X0)) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f1582,plain,
    ( sP35(sK84(sK82(sK122)))
    | ~ p102(sK84(sK82(sK122))) ),
    inference(subsumption_resolution,[],[f1580,f1115]) ).

fof(f1115,plain,
    ~ p103(sK84(sK82(sK122))),
    inference(resolution,[],[f1108,f492]) ).

fof(f492,plain,
    ! [X0] :
      ( ~ sP37(X0)
      | ~ p103(sK84(X0)) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f1580,plain,
    ( p103(sK84(sK82(sK122)))
    | sP35(sK84(sK82(sK122)))
    | ~ p102(sK84(sK82(sK122))) ),
    inference(resolution,[],[f1500,f447]) ).

fof(f447,plain,
    ! [X0] :
      ( ~ sP57(X0)
      | p103(X0)
      | sP35(X0)
      | ~ p102(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ p102(X0)
      | p103(X0)
      | ( sP35(X0)
        & sP34(X0) )
      | ~ sP57(X0) ),
    inference(rectify,[],[f140]) ).

fof(f140,plain,
    ! [X20] :
      ( ~ p102(X20)
      | p103(X20)
      | ( sP35(X20)
        & sP34(X20) )
      | ~ sP57(X20) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f1500,plain,
    sP57(sK84(sK82(sK122))),
    inference(resolution,[],[f1482,f356]) ).

fof(f356,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP57(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f1482,plain,
    sP81(sK84(sK82(sK122))),
    inference(subsumption_resolution,[],[f1441,f875]) ).

fof(f1441,plain,
    ( sP81(sK84(sK82(sK122)))
    | ~ r1(sK122,sK82(sK122)) ),
    inference(resolution,[],[f1113,f766]) ).

fof(f26940,plain,
    ! [X0,X1] :
      ( ~ r1(X0,sK86(sK84(sK82(sK122))))
      | ~ r1(X1,X0)
      | ~ r1(sK122,X1) ),
    inference(resolution,[],[f26938,f3402]) ).

fof(f3402,plain,
    r1(sK86(sK84(sK82(sK122))),sK88(sK86(sK84(sK82(sK122))))),
    inference(resolution,[],[f3392,f506]) ).

fof(f506,plain,
    ! [X0] :
      ( ~ sP33(X0)
      | r1(X0,sK88(X0)) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f203,plain,
    ! [X0] :
      ( ( p104(sK88(X0))
        & ~ p105(sK88(X0))
        & p5(sK88(X0))
        & r1(X0,sK88(X0)) )
      | ~ sP33(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK88])],[f201,f202]) ).

fof(f202,plain,
    ! [X0] :
      ( ? [X1] :
          ( p104(X1)
          & ~ p105(X1)
          & p5(X1)
          & r1(X0,X1) )
     => ( p104(sK88(X0))
        & ~ p105(sK88(X0))
        & p5(sK88(X0))
        & r1(X0,sK88(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f201,plain,
    ! [X0] :
      ( ? [X1] :
          ( p104(X1)
          & ~ p105(X1)
          & p5(X1)
          & r1(X0,X1) )
      | ~ sP33(X0) ),
    inference(rectify,[],[f200]) ).

fof(f200,plain,
    ! [X20] :
      ( ? [X69] :
          ( p104(X69)
          & ~ p105(X69)
          & p5(X69)
          & r1(X20,X69) )
      | ~ sP33(X20) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f3392,plain,
    sP33(sK86(sK84(sK82(sK122)))),
    inference(subsumption_resolution,[],[f3391,f1592]) ).

fof(f1592,plain,
    p103(sK86(sK84(sK82(sK122)))),
    inference(resolution,[],[f1583,f501]) ).

fof(f501,plain,
    ! [X0] :
      ( ~ sP35(X0)
      | p103(sK86(X0)) ),
    inference(cnf_transformation,[],[f195]) ).

fof(f3391,plain,
    ( sP33(sK86(sK84(sK82(sK122))))
    | ~ p103(sK86(sK84(sK82(sK122)))) ),
    inference(subsumption_resolution,[],[f3389,f1593]) ).

fof(f1593,plain,
    ~ p104(sK86(sK84(sK82(sK122)))),
    inference(resolution,[],[f1583,f500]) ).

fof(f500,plain,
    ! [X0] :
      ( ~ sP35(X0)
      | ~ p104(sK86(X0)) ),
    inference(cnf_transformation,[],[f195]) ).

fof(f3389,plain,
    ( p104(sK86(sK84(sK82(sK122))))
    | sP33(sK86(sK84(sK82(sK122))))
    | ~ p103(sK86(sK84(sK82(sK122)))) ),
    inference(resolution,[],[f3310,f449]) ).

fof(f449,plain,
    ! [X0] :
      ( ~ sP56(X0)
      | p104(X0)
      | sP33(X0)
      | ~ p103(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ p103(X0)
      | p104(X0)
      | ( sP33(X0)
        & sP32(X0) )
      | ~ sP56(X0) ),
    inference(rectify,[],[f142]) ).

fof(f142,plain,
    ! [X20] :
      ( ~ p103(X20)
      | p104(X20)
      | ( sP33(X20)
        & sP32(X20) )
      | ~ sP56(X20) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f3310,plain,
    sP56(sK86(sK84(sK82(sK122)))),
    inference(resolution,[],[f3293,f355]) ).

fof(f355,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP56(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f3293,plain,
    sP81(sK86(sK84(sK82(sK122)))),
    inference(subsumption_resolution,[],[f3292,f875]) ).

fof(f3292,plain,
    ( sP81(sK86(sK84(sK82(sK122))))
    | ~ r1(sK122,sK82(sK122)) ),
    inference(resolution,[],[f2398,f1113]) ).

fof(f2398,plain,
    ! [X0] :
      ( ~ r1(X0,sK84(sK82(sK122)))
      | sP81(sK86(sK84(sK82(sK122))))
      | ~ r1(sK122,X0) ),
    inference(resolution,[],[f1591,f765]) ).

fof(f26938,plain,
    ! [X2,X0,X1] :
      ( ~ r1(X0,sK88(sK86(sK84(sK82(sK122)))))
      | ~ r1(X1,X0)
      | ~ r1(X2,X1)
      | ~ r1(sK122,X2) ),
    inference(resolution,[],[f26936,f6406]) ).

fof(f6406,plain,
    r1(sK88(sK86(sK84(sK82(sK122)))),sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(resolution,[],[f6394,f514]) ).

fof(f514,plain,
    ! [X0] :
      ( ~ sP31(X0)
      | r1(X0,sK90(X0)) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f211,plain,
    ! [X0] :
      ( ( p105(sK90(X0))
        & ~ p106(sK90(X0))
        & p6(sK90(X0))
        & r1(X0,sK90(X0)) )
      | ~ sP31(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK90])],[f209,f210]) ).

fof(f210,plain,
    ! [X0] :
      ( ? [X1] :
          ( p105(X1)
          & ~ p106(X1)
          & p6(X1)
          & r1(X0,X1) )
     => ( p105(sK90(X0))
        & ~ p106(sK90(X0))
        & p6(sK90(X0))
        & r1(X0,sK90(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f209,plain,
    ! [X0] :
      ( ? [X1] :
          ( p105(X1)
          & ~ p106(X1)
          & p6(X1)
          & r1(X0,X1) )
      | ~ sP31(X0) ),
    inference(rectify,[],[f208]) ).

fof(f208,plain,
    ! [X20] :
      ( ? [X71] :
          ( p105(X71)
          & ~ p106(X71)
          & p6(X71)
          & r1(X20,X71) )
      | ~ sP31(X20) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f6394,plain,
    sP31(sK88(sK86(sK84(sK82(sK122))))),
    inference(subsumption_resolution,[],[f6393,f3403]) ).

fof(f3403,plain,
    p104(sK88(sK86(sK84(sK82(sK122))))),
    inference(resolution,[],[f3392,f509]) ).

fof(f509,plain,
    ! [X0] :
      ( ~ sP33(X0)
      | p104(sK88(X0)) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f6393,plain,
    ( sP31(sK88(sK86(sK84(sK82(sK122)))))
    | ~ p104(sK88(sK86(sK84(sK82(sK122))))) ),
    inference(subsumption_resolution,[],[f6391,f3404]) ).

fof(f3404,plain,
    ~ p105(sK88(sK86(sK84(sK82(sK122))))),
    inference(resolution,[],[f3392,f508]) ).

fof(f508,plain,
    ! [X0] :
      ( ~ sP33(X0)
      | ~ p105(sK88(X0)) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f6391,plain,
    ( p105(sK88(sK86(sK84(sK82(sK122)))))
    | sP31(sK88(sK86(sK84(sK82(sK122)))))
    | ~ p104(sK88(sK86(sK84(sK82(sK122))))) ),
    inference(resolution,[],[f6313,f451]) ).

fof(f451,plain,
    ! [X0] :
      ( ~ sP55(X0)
      | p105(X0)
      | sP31(X0)
      | ~ p104(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ p104(X0)
      | p105(X0)
      | ( sP31(X0)
        & sP30(X0) )
      | ~ sP55(X0) ),
    inference(rectify,[],[f144]) ).

fof(f144,plain,
    ! [X20] :
      ( ~ p104(X20)
      | p105(X20)
      | ( sP31(X20)
        & sP30(X20) )
      | ~ sP55(X20) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f6313,plain,
    sP55(sK88(sK86(sK84(sK82(sK122))))),
    inference(resolution,[],[f6297,f354]) ).

fof(f354,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP55(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f6297,plain,
    sP81(sK88(sK86(sK84(sK82(sK122))))),
    inference(subsumption_resolution,[],[f6296,f875]) ).

fof(f6296,plain,
    ( sP81(sK88(sK86(sK84(sK82(sK122)))))
    | ~ r1(sK122,sK82(sK122)) ),
    inference(resolution,[],[f6294,f1113]) ).

fof(f6294,plain,
    ! [X0] :
      ( ~ r1(X0,sK84(sK82(sK122)))
      | sP81(sK88(sK86(sK84(sK82(sK122)))))
      | ~ r1(sK122,X0) ),
    inference(resolution,[],[f3491,f1591]) ).

fof(f3491,plain,
    ! [X0,X1] :
      ( ~ r1(X0,sK86(sK84(sK82(sK122))))
      | sP81(sK88(sK86(sK84(sK82(sK122)))))
      | ~ r1(X1,X0)
      | ~ r1(sK122,X1) ),
    inference(resolution,[],[f3402,f764]) ).

fof(f26936,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(X0,sK90(sK88(sK86(sK84(sK82(sK122))))))
      | ~ r1(X1,X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(sK122,X3) ),
    inference(resolution,[],[f26909,f12802]) ).

fof(f12802,plain,
    r1(sK90(sK88(sK86(sK84(sK82(sK122))))),sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(resolution,[],[f12788,f522]) ).

fof(f522,plain,
    ! [X0] :
      ( ~ sP29(X0)
      | r1(X0,sK92(X0)) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( ( p106(sK92(X0))
        & ~ p107(sK92(X0))
        & p7(sK92(X0))
        & r1(X0,sK92(X0)) )
      | ~ sP29(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK92])],[f217,f218]) ).

fof(f218,plain,
    ! [X0] :
      ( ? [X1] :
          ( p106(X1)
          & ~ p107(X1)
          & p7(X1)
          & r1(X0,X1) )
     => ( p106(sK92(X0))
        & ~ p107(sK92(X0))
        & p7(sK92(X0))
        & r1(X0,sK92(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f217,plain,
    ! [X0] :
      ( ? [X1] :
          ( p106(X1)
          & ~ p107(X1)
          & p7(X1)
          & r1(X0,X1) )
      | ~ sP29(X0) ),
    inference(rectify,[],[f216]) ).

fof(f216,plain,
    ! [X20] :
      ( ? [X73] :
          ( p106(X73)
          & ~ p107(X73)
          & p7(X73)
          & r1(X20,X73) )
      | ~ sP29(X20) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f12788,plain,
    sP29(sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(subsumption_resolution,[],[f12787,f6407]) ).

fof(f6407,plain,
    p105(sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(resolution,[],[f6394,f517]) ).

fof(f517,plain,
    ! [X0] :
      ( ~ sP31(X0)
      | p105(sK90(X0)) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f12787,plain,
    ( sP29(sK90(sK88(sK86(sK84(sK82(sK122))))))
    | ~ p105(sK90(sK88(sK86(sK84(sK82(sK122)))))) ),
    inference(subsumption_resolution,[],[f12785,f6408]) ).

fof(f6408,plain,
    ~ p106(sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(resolution,[],[f6394,f516]) ).

fof(f516,plain,
    ! [X0] :
      ( ~ sP31(X0)
      | ~ p106(sK90(X0)) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f12785,plain,
    ( p106(sK90(sK88(sK86(sK84(sK82(sK122))))))
    | sP29(sK90(sK88(sK86(sK84(sK82(sK122))))))
    | ~ p105(sK90(sK88(sK86(sK84(sK82(sK122)))))) ),
    inference(resolution,[],[f12708,f453]) ).

fof(f453,plain,
    ! [X0] :
      ( ~ sP54(X0)
      | p106(X0)
      | sP29(X0)
      | ~ p105(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ p105(X0)
      | p106(X0)
      | ( sP29(X0)
        & sP28(X0) )
      | ~ sP54(X0) ),
    inference(rectify,[],[f146]) ).

fof(f146,plain,
    ! [X20] :
      ( ~ p105(X20)
      | p106(X20)
      | ( sP29(X20)
        & sP28(X20) )
      | ~ sP54(X20) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f12708,plain,
    sP54(sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(resolution,[],[f12693,f353]) ).

fof(f353,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP54(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f12693,plain,
    sP81(sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(subsumption_resolution,[],[f12692,f875]) ).

fof(f12692,plain,
    ( sP81(sK90(sK88(sK86(sK84(sK82(sK122))))))
    | ~ r1(sK122,sK82(sK122)) ),
    inference(resolution,[],[f12690,f1113]) ).

fof(f12690,plain,
    ! [X0] :
      ( ~ r1(X0,sK84(sK82(sK122)))
      | sP81(sK90(sK88(sK86(sK84(sK82(sK122))))))
      | ~ r1(sK122,X0) ),
    inference(resolution,[],[f12688,f1591]) ).

fof(f12688,plain,
    ! [X0,X1] :
      ( ~ r1(X0,sK86(sK84(sK82(sK122))))
      | sP81(sK90(sK88(sK86(sK84(sK82(sK122))))))
      | ~ r1(X1,X0)
      | ~ r1(sK122,X1) ),
    inference(resolution,[],[f6496,f3402]) ).

fof(f6496,plain,
    ! [X2,X0,X1] :
      ( ~ r1(X0,sK88(sK86(sK84(sK82(sK122)))))
      | sP81(sK90(sK88(sK86(sK84(sK82(sK122))))))
      | ~ r1(X1,X0)
      | ~ r1(X2,X1)
      | ~ r1(sK122,X2) ),
    inference(resolution,[],[f6406,f763]) ).

fof(f26909,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r1(X0,sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
      | ~ r1(X1,X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(sK122,X4) ),
    inference(subsumption_resolution,[],[f26829,f26637]) ).

fof(f26637,plain,
    ~ p8(sK95(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))),
    inference(resolution,[],[f26616,f535]) ).

fof(f535,plain,
    ! [X0] :
      ( ~ sP26(X0)
      | ~ p8(sK95(X0)) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f231,plain,
    ! [X0] :
      ( ( p107(sK95(X0))
        & ~ p108(sK95(X0))
        & ~ p8(sK95(X0))
        & r1(X0,sK95(X0)) )
      | ~ sP26(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK95])],[f229,f230]) ).

fof(f230,plain,
    ! [X0] :
      ( ? [X1] :
          ( p107(X1)
          & ~ p108(X1)
          & ~ p8(X1)
          & r1(X0,X1) )
     => ( p107(sK95(X0))
        & ~ p108(sK95(X0))
        & ~ p8(sK95(X0))
        & r1(X0,sK95(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f229,plain,
    ! [X0] :
      ( ? [X1] :
          ( p107(X1)
          & ~ p108(X1)
          & ~ p8(X1)
          & r1(X0,X1) )
      | ~ sP26(X0) ),
    inference(rectify,[],[f228]) ).

fof(f228,plain,
    ! [X20] :
      ( ? [X76] :
          ( p107(X76)
          & ~ p108(X76)
          & ~ p8(X76)
          & r1(X20,X76) )
      | ~ sP26(X20) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f26616,plain,
    sP26(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(subsumption_resolution,[],[f26615,f12803]) ).

fof(f12803,plain,
    p106(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(resolution,[],[f12788,f525]) ).

fof(f525,plain,
    ! [X0] :
      ( ~ sP29(X0)
      | p106(sK92(X0)) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f26615,plain,
    ( sP26(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
    | ~ p106(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))) ),
    inference(subsumption_resolution,[],[f26612,f12804]) ).

fof(f12804,plain,
    ~ p107(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(resolution,[],[f12788,f524]) ).

fof(f524,plain,
    ! [X0] :
      ( ~ sP29(X0)
      | ~ p107(sK92(X0)) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f26612,plain,
    ( p107(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
    | sP26(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
    | ~ p106(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))) ),
    inference(resolution,[],[f26535,f454]) ).

fof(f454,plain,
    ! [X0] :
      ( ~ sP53(X0)
      | p107(X0)
      | sP26(X0)
      | ~ p106(X0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ p106(X0)
      | p107(X0)
      | ( sP27(X0)
        & sP26(X0) )
      | ~ sP53(X0) ),
    inference(rectify,[],[f148]) ).

fof(f148,plain,
    ! [X20] :
      ( ~ p106(X20)
      | p107(X20)
      | ( sP27(X20)
        & sP26(X20) )
      | ~ sP53(X20) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f26535,plain,
    sP53(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(resolution,[],[f26521,f352]) ).

fof(f352,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP53(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f26521,plain,
    sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(subsumption_resolution,[],[f26520,f875]) ).

fof(f26520,plain,
    ( sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
    | ~ r1(sK122,sK82(sK122)) ),
    inference(resolution,[],[f26518,f1113]) ).

fof(f26518,plain,
    ! [X0] :
      ( ~ r1(X0,sK84(sK82(sK122)))
      | sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
      | ~ r1(sK122,X0) ),
    inference(resolution,[],[f26516,f1591]) ).

fof(f26516,plain,
    ! [X0,X1] :
      ( ~ r1(X0,sK86(sK84(sK82(sK122))))
      | sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
      | ~ r1(X1,X0)
      | ~ r1(sK122,X1) ),
    inference(resolution,[],[f26514,f3402]) ).

fof(f26514,plain,
    ! [X2,X0,X1] :
      ( ~ r1(X0,sK88(sK86(sK84(sK82(sK122)))))
      | sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
      | ~ r1(X1,X0)
      | ~ r1(X2,X1)
      | ~ r1(sK122,X2) ),
    inference(resolution,[],[f12893,f6406]) ).

fof(f12893,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(X0,sK90(sK88(sK86(sK84(sK82(sK122))))))
      | sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
      | ~ r1(X1,X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(sK122,X3) ),
    inference(resolution,[],[f12802,f762]) ).

fof(f26829,plain,
    ! [X2,X3,X0,X1,X4] :
      ( p8(sK95(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))))
      | ~ r1(X0,sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
      | ~ r1(X1,X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(sK122,X4) ),
    inference(resolution,[],[f26634,f742]) ).

fof(f742,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(sK122,X6) ),
    inference(resolution,[],[f740,f644]) ).

fof(f740,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(sK122,X7) ),
    inference(resolution,[],[f739,f644]) ).

fof(f739,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(sK122,X8) ),
    inference(resolution,[],[f738,f644]) ).

fof(f738,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(sK122,X9) ),
    inference(resolution,[],[f737,f644]) ).

fof(f737,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(sK122,X10) ),
    inference(resolution,[],[f736,f644]) ).

fof(f736,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(sK122,X11) ),
    inference(resolution,[],[f735,f644]) ).

fof(f735,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(sK122,X12) ),
    inference(resolution,[],[f734,f644]) ).

fof(f734,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(sK122,X13) ),
    inference(resolution,[],[f733,f644]) ).

fof(f733,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(X14,X13)
      | ~ r1(sK122,X14) ),
    inference(resolution,[],[f732,f644]) ).

fof(f732,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(X14,X13)
      | ~ r1(X15,X14)
      | ~ r1(sK122,X15) ),
    inference(resolution,[],[f731,f644]) ).

fof(f731,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(X14,X13)
      | ~ r1(X15,X14)
      | ~ r1(X16,X15)
      | ~ r1(sK122,X16) ),
    inference(resolution,[],[f730,f644]) ).

fof(f730,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(X14,X13)
      | ~ r1(X15,X14)
      | ~ r1(X16,X15)
      | ~ r1(X17,X16)
      | ~ r1(sK122,X17) ),
    inference(resolution,[],[f729,f644]) ).

fof(f729,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
      ( ~ r1(X1,X0)
      | p8(X0)
      | ~ r1(X2,X1)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(X5,X4)
      | ~ r1(X6,X5)
      | ~ r1(X7,X6)
      | ~ r1(X8,X7)
      | ~ r1(X9,X8)
      | ~ r1(X10,X9)
      | ~ r1(X11,X10)
      | ~ r1(X12,X11)
      | ~ r1(X13,X12)
      | ~ r1(X14,X13)
      | ~ r1(X15,X14)
      | ~ r1(X16,X15)
      | ~ r1(X17,X16)
      | ~ r1(X18,X17)
      | ~ r1(sK122,X18) ),
    inference(resolution,[],[f640,f644]) ).

fof(f640,plain,
    ! [X22,X40,X38,X31,X39,X29,X36,X28,X21,X37,X26,X27,X34,X24,X35,X25,X32,X30,X33,X23] :
      ( ~ r1(X39,X40)
      | p8(X40)
      | ~ r1(X38,X39)
      | ~ r1(X37,X38)
      | ~ r1(X36,X37)
      | ~ r1(X35,X36)
      | ~ r1(X34,X35)
      | ~ r1(X33,X34)
      | ~ r1(X32,X33)
      | ~ r1(X31,X32)
      | ~ r1(X30,X31)
      | ~ r1(X29,X30)
      | ~ r1(X28,X29)
      | ~ r1(X27,X28)
      | ~ r1(X26,X27)
      | ~ r1(X25,X26)
      | ~ r1(X24,X25)
      | ~ r1(X23,X24)
      | ~ r1(X22,X23)
      | ~ r1(X21,X22)
      | ~ r1(sK122,X21) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f26634,plain,
    r1(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))),sK95(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))),
    inference(resolution,[],[f26616,f534]) ).

fof(f534,plain,
    ! [X0] :
      ( ~ sP26(X0)
      | r1(X0,sK95(X0)) ),
    inference(cnf_transformation,[],[f231]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : LCL656+1.020 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Apr 29 22:47:10 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  % (11889)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33  % (11893)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33  % (11895)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33  % (11894)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33  % (11890)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33  % (11896)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33  % (11892)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.33  % (11891)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.34  TRYING [1]
% 0.15/0.34  TRYING [1]
% 0.15/0.34  TRYING [2]
% 0.15/0.34  TRYING [2]
% 0.15/0.34  TRYING [3]
% 0.15/0.34  TRYING [1]
% 0.15/0.34  TRYING [3]
% 0.15/0.34  TRYING [2]
% 0.15/0.34  TRYING [1]
% 0.15/0.34  TRYING [2]
% 0.15/0.35  TRYING [3]
% 0.15/0.35  TRYING [4]
% 0.15/0.35  TRYING [3]
% 0.15/0.35  TRYING [4]
% 0.15/0.35  TRYING [4]
% 0.15/0.35  TRYING [4]
% 0.15/0.36  TRYING [5]
% 0.15/0.36  TRYING [5]
% 0.15/0.37  TRYING [5]
% 0.15/0.37  TRYING [5]
% 0.15/0.37  TRYING [6]
% 0.15/0.39  TRYING [6]
% 0.15/0.39  TRYING [6]
% 0.15/0.39  TRYING [6]
% 0.15/0.40  TRYING [7]
% 0.15/0.42  TRYING [7]
% 0.15/0.43  TRYING [7]
% 0.15/0.43  TRYING [7]
% 0.15/0.44  TRYING [8]
% 0.15/0.51  TRYING [8]
% 0.15/0.51  TRYING [8]
% 0.15/0.52  TRYING [8]
% 0.15/0.52  TRYING [9]
% 3.22/0.78  TRYING [10]
% 4.56/0.98  TRYING [9]
% 4.56/1.00  TRYING [9]
% 5.05/1.05  TRYING [9]
% 14.44/2.39  TRYING [11]
% 19.85/3.14  % (11894)First to succeed.
% 19.85/3.16  % (11894)Refutation found. Thanks to Tanya!
% 19.85/3.16  % SZS status Theorem for theBenchmark
% 19.85/3.16  % SZS output start Proof for theBenchmark
% See solution above
% 19.85/3.16  % (11894)------------------------------
% 19.85/3.16  % (11894)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 19.85/3.16  % (11894)Termination reason: Refutation
% 19.85/3.16  
% 19.85/3.16  % (11894)Memory used [KB]: 11558
% 19.85/3.16  % (11894)Time elapsed: 2.826 s
% 19.85/3.16  % (11894)Instructions burned: 7661 (million)
% 19.85/3.16  % (11894)------------------------------
% 19.85/3.16  % (11894)------------------------------
% 19.85/3.16  % (11889)Success in time 2.822 s
% 19.85/3.16  11893 Aborted by signal SIGHUP on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.85/3.16  % (11893)------------------------------
% 19.85/3.16  % (11893)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 19.85/3.16  % (11893)Termination reason: Unknown
% 19.85/3.16  % (11893)Termination phase: Finite model building SAT solving
% 19.85/3.16  
% 19.85/3.16  % (11893)Memory used [KB]: 3424
% 19.85/3.16  % (11893)Time elapsed: 2.829 s
% 19.85/3.16  % (11893)Instructions burned: 7229 (million)
% 19.85/3.16  % (11893)------------------------------
% 19.85/3.16  % (11893)------------------------------
% 19.85/3.16  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 19.85/3.16  ???
% 19.85/3.16   ???
% 19.85/3.16    ???
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% 19.85/3.16                         ???
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%------------------------------------------------------------------------------