TSTP Solution File: LCL644+1.005 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL644+1.005 : 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 : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 13:47:09 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   50 (   3 unt;   0 def)
%            Number of atoms       : 1918 (   0 equ)
%            Maximal formula atoms :  225 (  38 avg)
%            Number of connectives : 2843 ( 975   ~;1071   |; 789   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (  12 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   38 (  37 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-1 aty)
%            Number of variables   :  657 ( 509   !; 148   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f345,plain,
    $false,
    inference(subsumption_resolution,[],[f328,f326]) ).

fof(f326,plain,
    ~ p5(sK63),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ( ( sP28(sK60)
      | sP27(sK60)
      | sP26(sK60)
      | ! [X1] :
          ( ~ p1(X1)
          | ( ~ p1(sK61(X1))
            & r1(X1,sK61(X1)) )
          | ~ p1(X1)
          | p2(X1)
          | ~ r1(sK60,X1) )
      | sP29(sK60) )
    & p5(sK62)
    & ! [X4] :
        ( p5(X4)
        | ~ r1(sK62,X4) )
    & ~ p5(sK62)
    & r1(sK60,sK62)
    & p5(sK63)
    & ! [X6] :
        ( p5(X6)
        | ~ r1(sK63,X6) )
    & ~ p5(sK63)
    & r1(sK60,sK63)
    & ( sP22(sK60)
      | sP21(sK60)
      | sP20(sK60)
      | ! [X7] :
          ( ~ p2(X7)
          | ( ~ p2(sK64(X7))
            & r1(X7,sK64(X7)) )
          | ~ p2(X7)
          | p3(X7)
          | ~ r1(sK60,X7) )
      | sP23(sK60) )
    & ( sP16(sK60)
      | sP15(sK60)
      | sP14(sK60)
      | ! [X9] :
          ( ~ p3(X9)
          | ( ~ p3(sK65(X9))
            & r1(X9,sK65(X9)) )
          | ~ p3(X9)
          | p4(X9)
          | ~ r1(sK60,X9) )
      | sP17(sK60) )
    & ( sP10(sK60)
      | sP9(sK60)
      | sP8(sK60)
      | ! [X11] :
          ( ~ p4(X11)
          | ( ~ p4(sK66(X11))
            & r1(X11,sK66(X11)) )
          | ~ p4(X11)
          | p5(X11)
          | ~ r1(sK60,X11) )
      | sP11(sK60) )
    & ( sP4(sK60)
      | sP3(sK60)
      | sP2(sK60)
      | ! [X13] :
          ( ~ p5(X13)
          | ( ~ p5(sK67(X13))
            & r1(X13,sK67(X13)) )
          | ~ p5(X13)
          | p6(X13)
          | ~ r1(sK60,X13) )
      | sP5(sK60) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK60,sK61,sK62,sK63,sK64,sK65,sK66,sK67])],[f157,f165,f164,f163,f162,f161,f160,f159,f158]) ).

fof(f158,plain,
    ( ? [X0] :
        ( ( sP28(X0)
          | sP27(X0)
          | sP26(X0)
          | ! [X1] :
              ( ~ p1(X1)
              | ? [X2] :
                  ( ~ p1(X2)
                  & r1(X1,X2) )
              | ~ p1(X1)
              | p2(X1)
              | ~ r1(X0,X1) )
          | sP29(X0) )
        & ? [X3] :
            ( p5(X3)
            & ! [X4] :
                ( p5(X4)
                | ~ r1(X3,X4) )
            & ~ p5(X3)
            & r1(X0,X3) )
        & ? [X5] :
            ( p5(X5)
            & ! [X6] :
                ( p5(X6)
                | ~ r1(X5,X6) )
            & ~ p5(X5)
            & r1(X0,X5) )
        & ( sP22(X0)
          | sP21(X0)
          | sP20(X0)
          | ! [X7] :
              ( ~ p2(X7)
              | ? [X8] :
                  ( ~ p2(X8)
                  & r1(X7,X8) )
              | ~ p2(X7)
              | p3(X7)
              | ~ r1(X0,X7) )
          | sP23(X0) )
        & ( sP16(X0)
          | sP15(X0)
          | sP14(X0)
          | ! [X9] :
              ( ~ p3(X9)
              | ? [X10] :
                  ( ~ p3(X10)
                  & r1(X9,X10) )
              | ~ p3(X9)
              | p4(X9)
              | ~ r1(X0,X9) )
          | sP17(X0) )
        & ( sP10(X0)
          | sP9(X0)
          | sP8(X0)
          | ! [X11] :
              ( ~ p4(X11)
              | ? [X12] :
                  ( ~ p4(X12)
                  & r1(X11,X12) )
              | ~ p4(X11)
              | p5(X11)
              | ~ r1(X0,X11) )
          | sP11(X0) )
        & ( sP4(X0)
          | sP3(X0)
          | sP2(X0)
          | ! [X13] :
              ( ~ p5(X13)
              | ? [X14] :
                  ( ~ p5(X14)
                  & r1(X13,X14) )
              | ~ p5(X13)
              | p6(X13)
              | ~ r1(X0,X13) )
          | sP5(X0) ) )
   => ( ( sP28(sK60)
        | sP27(sK60)
        | sP26(sK60)
        | ! [X1] :
            ( ~ p1(X1)
            | ? [X2] :
                ( ~ p1(X2)
                & r1(X1,X2) )
            | ~ p1(X1)
            | p2(X1)
            | ~ r1(sK60,X1) )
        | sP29(sK60) )
      & ? [X3] :
          ( p5(X3)
          & ! [X4] :
              ( p5(X4)
              | ~ r1(X3,X4) )
          & ~ p5(X3)
          & r1(sK60,X3) )
      & ? [X5] :
          ( p5(X5)
          & ! [X6] :
              ( p5(X6)
              | ~ r1(X5,X6) )
          & ~ p5(X5)
          & r1(sK60,X5) )
      & ( sP22(sK60)
        | sP21(sK60)
        | sP20(sK60)
        | ! [X7] :
            ( ~ p2(X7)
            | ? [X8] :
                ( ~ p2(X8)
                & r1(X7,X8) )
            | ~ p2(X7)
            | p3(X7)
            | ~ r1(sK60,X7) )
        | sP23(sK60) )
      & ( sP16(sK60)
        | sP15(sK60)
        | sP14(sK60)
        | ! [X9] :
            ( ~ p3(X9)
            | ? [X10] :
                ( ~ p3(X10)
                & r1(X9,X10) )
            | ~ p3(X9)
            | p4(X9)
            | ~ r1(sK60,X9) )
        | sP17(sK60) )
      & ( sP10(sK60)
        | sP9(sK60)
        | sP8(sK60)
        | ! [X11] :
            ( ~ p4(X11)
            | ? [X12] :
                ( ~ p4(X12)
                & r1(X11,X12) )
            | ~ p4(X11)
            | p5(X11)
            | ~ r1(sK60,X11) )
        | sP11(sK60) )
      & ( sP4(sK60)
        | sP3(sK60)
        | sP2(sK60)
        | ! [X13] :
            ( ~ p5(X13)
            | ? [X14] :
                ( ~ p5(X14)
                & r1(X13,X14) )
            | ~ p5(X13)
            | p6(X13)
            | ~ r1(sK60,X13) )
        | sP5(sK60) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ! [X1] :
      ( ? [X2] :
          ( ~ p1(X2)
          & r1(X1,X2) )
     => ( ~ p1(sK61(X1))
        & r1(X1,sK61(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f160,plain,
    ( ? [X3] :
        ( p5(X3)
        & ! [X4] :
            ( p5(X4)
            | ~ r1(X3,X4) )
        & ~ p5(X3)
        & r1(sK60,X3) )
   => ( p5(sK62)
      & ! [X4] :
          ( p5(X4)
          | ~ r1(sK62,X4) )
      & ~ p5(sK62)
      & r1(sK60,sK62) ) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ( ? [X5] :
        ( p5(X5)
        & ! [X6] :
            ( p5(X6)
            | ~ r1(X5,X6) )
        & ~ p5(X5)
        & r1(sK60,X5) )
   => ( p5(sK63)
      & ! [X6] :
          ( p5(X6)
          | ~ r1(sK63,X6) )
      & ~ p5(sK63)
      & r1(sK60,sK63) ) ),
    introduced(choice_axiom,[]) ).

fof(f162,plain,
    ! [X7] :
      ( ? [X8] :
          ( ~ p2(X8)
          & r1(X7,X8) )
     => ( ~ p2(sK64(X7))
        & r1(X7,sK64(X7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f163,plain,
    ! [X9] :
      ( ? [X10] :
          ( ~ p3(X10)
          & r1(X9,X10) )
     => ( ~ p3(sK65(X9))
        & r1(X9,sK65(X9)) ) ),
    introduced(choice_axiom,[]) ).

fof(f164,plain,
    ! [X11] :
      ( ? [X12] :
          ( ~ p4(X12)
          & r1(X11,X12) )
     => ( ~ p4(sK66(X11))
        & r1(X11,sK66(X11)) ) ),
    introduced(choice_axiom,[]) ).

fof(f165,plain,
    ! [X13] :
      ( ? [X14] :
          ( ~ p5(X14)
          & r1(X13,X14) )
     => ( ~ p5(sK67(X13))
        & r1(X13,sK67(X13)) ) ),
    introduced(choice_axiom,[]) ).

fof(f157,plain,
    ? [X0] :
      ( ( sP28(X0)
        | sP27(X0)
        | sP26(X0)
        | ! [X1] :
            ( ~ p1(X1)
            | ? [X2] :
                ( ~ p1(X2)
                & r1(X1,X2) )
            | ~ p1(X1)
            | p2(X1)
            | ~ r1(X0,X1) )
        | sP29(X0) )
      & ? [X3] :
          ( p5(X3)
          & ! [X4] :
              ( p5(X4)
              | ~ r1(X3,X4) )
          & ~ p5(X3)
          & r1(X0,X3) )
      & ? [X5] :
          ( p5(X5)
          & ! [X6] :
              ( p5(X6)
              | ~ r1(X5,X6) )
          & ~ p5(X5)
          & r1(X0,X5) )
      & ( sP22(X0)
        | sP21(X0)
        | sP20(X0)
        | ! [X7] :
            ( ~ p2(X7)
            | ? [X8] :
                ( ~ p2(X8)
                & r1(X7,X8) )
            | ~ p2(X7)
            | p3(X7)
            | ~ r1(X0,X7) )
        | sP23(X0) )
      & ( sP16(X0)
        | sP15(X0)
        | sP14(X0)
        | ! [X9] :
            ( ~ p3(X9)
            | ? [X10] :
                ( ~ p3(X10)
                & r1(X9,X10) )
            | ~ p3(X9)
            | p4(X9)
            | ~ r1(X0,X9) )
        | sP17(X0) )
      & ( sP10(X0)
        | sP9(X0)
        | sP8(X0)
        | ! [X11] :
            ( ~ p4(X11)
            | ? [X12] :
                ( ~ p4(X12)
                & r1(X11,X12) )
            | ~ p4(X11)
            | p5(X11)
            | ~ r1(X0,X11) )
        | sP11(X0) )
      & ( sP4(X0)
        | sP3(X0)
        | sP2(X0)
        | ! [X13] :
            ( ~ p5(X13)
            | ? [X14] :
                ( ~ p5(X14)
                & r1(X13,X14) )
            | ~ p5(X13)
            | p6(X13)
            | ~ r1(X0,X13) )
        | sP5(X0) ) ),
    inference(rectify,[],[f37]) ).

fof(f37,plain,
    ? [X0] :
      ( ( sP28(X0)
        | sP27(X0)
        | sP26(X0)
        | ! [X12] :
            ( ~ p1(X12)
            | ? [X13] :
                ( ~ p1(X13)
                & r1(X12,X13) )
            | ~ p1(X12)
            | p2(X12)
            | ~ r1(X0,X12) )
        | sP29(X0) )
      & ? [X16] :
          ( p5(X16)
          & ! [X17] :
              ( p5(X17)
              | ~ r1(X16,X17) )
          & ~ p5(X16)
          & r1(X0,X16) )
      & ? [X18] :
          ( p5(X18)
          & ! [X19] :
              ( p5(X19)
              | ~ r1(X18,X19) )
          & ~ p5(X18)
          & r1(X0,X18) )
      & ( sP22(X0)
        | sP21(X0)
        | sP20(X0)
        | ! [X31] :
            ( ~ p2(X31)
            | ? [X32] :
                ( ~ p2(X32)
                & r1(X31,X32) )
            | ~ p2(X31)
            | p3(X31)
            | ~ r1(X0,X31) )
        | sP23(X0) )
      & ( sP16(X0)
        | sP15(X0)
        | sP14(X0)
        | ! [X46] :
            ( ~ p3(X46)
            | ? [X47] :
                ( ~ p3(X47)
                & r1(X46,X47) )
            | ~ p3(X46)
            | p4(X46)
            | ~ r1(X0,X46) )
        | sP17(X0) )
      & ( sP10(X0)
        | sP9(X0)
        | sP8(X0)
        | ! [X61] :
            ( ~ p4(X61)
            | ? [X62] :
                ( ~ p4(X62)
                & r1(X61,X62) )
            | ~ p4(X61)
            | p5(X61)
            | ~ r1(X0,X61) )
        | sP11(X0) )
      & ( sP4(X0)
        | sP3(X0)
        | sP2(X0)
        | ! [X76] :
            ( ~ p5(X76)
            | ? [X77] :
                ( ~ p5(X77)
                & r1(X76,X77) )
            | ~ p5(X76)
            | p6(X76)
            | ~ r1(X0,X76) )
        | sP5(X0) ) ),
    inference(definition_folding,[],[f6,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,f8,f7]) ).

fof(f7,plain,
    ! [X72] :
      ( ? [X74] :
          ( ~ p5(X74)
          & ! [X75] :
              ( p6(X75)
              | ~ r1(X74,X75) )
          & p6(X74)
          & r1(X72,X74) )
      | ~ sP0(X72) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f8,plain,
    ! [X68] :
      ( ? [X69] :
          ( p5(X69)
          & ! [X70] :
              ( p5(X70)
              | ~ r1(X69,X70) )
          & p5(X69)
          & ~ p6(X69)
          & r1(X68,X69) )
      | ~ sP1(X68) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f9,plain,
    ! [X0] :
      ( ? [X72] :
          ( p5(X72)
          & ! [X73] :
              ( p5(X73)
              | ~ r1(X72,X73) )
          & p5(X72)
          & ~ p6(X72)
          & sP0(X72)
          & r1(X0,X72) )
      | ~ sP2(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f10,plain,
    ! [X0] :
      ( ? [X68] :
          ( sP1(X68)
          & ~ p5(X68)
          & ! [X71] :
              ( p6(X71)
              | ~ r1(X68,X71) )
          & p6(X68)
          & r1(X0,X68) )
      | ~ sP3(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f11,plain,
    ! [X0] :
      ( ? [X65] :
          ( p5(X65)
          & ! [X66] :
              ( p5(X66)
              | ~ r1(X65,X66) )
          & p5(X65)
          & ~ p6(X65)
          & ~ p5(X65)
          & ! [X67] :
              ( p6(X67)
              | ~ r1(X65,X67) )
          & p6(X65)
          & r1(X0,X65) )
      | ~ sP4(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f12,plain,
    ! [X0] :
      ( ! [X78] :
          ( p5(X78)
          | ? [X79] :
              ( ~ p6(X79)
              & r1(X78,X79) )
          | ~ p6(X78)
          | ~ r1(X0,X78) )
      | ~ sP5(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f13,plain,
    ! [X57] :
      ( ? [X59] :
          ( ~ p4(X59)
          & ! [X60] :
              ( p5(X60)
              | ~ r1(X59,X60) )
          & p5(X59)
          & r1(X57,X59) )
      | ~ sP6(X57) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f14,plain,
    ! [X53] :
      ( ? [X54] :
          ( p4(X54)
          & ! [X55] :
              ( p4(X55)
              | ~ r1(X54,X55) )
          & p4(X54)
          & ~ p5(X54)
          & r1(X53,X54) )
      | ~ sP7(X53) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f15,plain,
    ! [X0] :
      ( ? [X57] :
          ( p4(X57)
          & ! [X58] :
              ( p4(X58)
              | ~ r1(X57,X58) )
          & p4(X57)
          & ~ p5(X57)
          & sP6(X57)
          & r1(X0,X57) )
      | ~ sP8(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f16,plain,
    ! [X0] :
      ( ? [X53] :
          ( sP7(X53)
          & ~ p4(X53)
          & ! [X56] :
              ( p5(X56)
              | ~ r1(X53,X56) )
          & p5(X53)
          & r1(X0,X53) )
      | ~ sP9(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f17,plain,
    ! [X0] :
      ( ? [X50] :
          ( p4(X50)
          & ! [X51] :
              ( p4(X51)
              | ~ r1(X50,X51) )
          & p4(X50)
          & ~ p5(X50)
          & ~ p4(X50)
          & ! [X52] :
              ( p5(X52)
              | ~ r1(X50,X52) )
          & p5(X50)
          & r1(X0,X50) )
      | ~ sP10(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f18,plain,
    ! [X0] :
      ( ! [X63] :
          ( p4(X63)
          | ? [X64] :
              ( ~ p5(X64)
              & r1(X63,X64) )
          | ~ p5(X63)
          | ~ r1(X0,X63) )
      | ~ sP11(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f19,plain,
    ! [X42] :
      ( ? [X44] :
          ( ~ p3(X44)
          & ! [X45] :
              ( p4(X45)
              | ~ r1(X44,X45) )
          & p4(X44)
          & r1(X42,X44) )
      | ~ sP12(X42) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f20,plain,
    ! [X38] :
      ( ? [X39] :
          ( p3(X39)
          & ! [X40] :
              ( p3(X40)
              | ~ r1(X39,X40) )
          & p3(X39)
          & ~ p4(X39)
          & r1(X38,X39) )
      | ~ sP13(X38) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f21,plain,
    ! [X0] :
      ( ? [X42] :
          ( p3(X42)
          & ! [X43] :
              ( p3(X43)
              | ~ r1(X42,X43) )
          & p3(X42)
          & ~ p4(X42)
          & sP12(X42)
          & r1(X0,X42) )
      | ~ sP14(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f22,plain,
    ! [X0] :
      ( ? [X38] :
          ( sP13(X38)
          & ~ p3(X38)
          & ! [X41] :
              ( p4(X41)
              | ~ r1(X38,X41) )
          & p4(X38)
          & r1(X0,X38) )
      | ~ sP15(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f23,plain,
    ! [X0] :
      ( ? [X35] :
          ( p3(X35)
          & ! [X36] :
              ( p3(X36)
              | ~ r1(X35,X36) )
          & p3(X35)
          & ~ p4(X35)
          & ~ p3(X35)
          & ! [X37] :
              ( p4(X37)
              | ~ r1(X35,X37) )
          & p4(X35)
          & r1(X0,X35) )
      | ~ sP16(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f24,plain,
    ! [X0] :
      ( ! [X48] :
          ( p3(X48)
          | ? [X49] :
              ( ~ p4(X49)
              & r1(X48,X49) )
          | ~ p4(X48)
          | ~ r1(X0,X48) )
      | ~ sP17(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f25,plain,
    ! [X27] :
      ( ? [X29] :
          ( ~ p2(X29)
          & ! [X30] :
              ( p3(X30)
              | ~ r1(X29,X30) )
          & p3(X29)
          & r1(X27,X29) )
      | ~ sP18(X27) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f26,plain,
    ! [X23] :
      ( ? [X24] :
          ( p2(X24)
          & ! [X25] :
              ( p2(X25)
              | ~ r1(X24,X25) )
          & p2(X24)
          & ~ p3(X24)
          & r1(X23,X24) )
      | ~ sP19(X23) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f27,plain,
    ! [X0] :
      ( ? [X27] :
          ( p2(X27)
          & ! [X28] :
              ( p2(X28)
              | ~ r1(X27,X28) )
          & p2(X27)
          & ~ p3(X27)
          & sP18(X27)
          & r1(X0,X27) )
      | ~ sP20(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f28,plain,
    ! [X0] :
      ( ? [X23] :
          ( sP19(X23)
          & ~ p2(X23)
          & ! [X26] :
              ( p3(X26)
              | ~ r1(X23,X26) )
          & p3(X23)
          & r1(X0,X23) )
      | ~ sP21(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f29,plain,
    ! [X0] :
      ( ? [X20] :
          ( p2(X20)
          & ! [X21] :
              ( p2(X21)
              | ~ r1(X20,X21) )
          & p2(X20)
          & ~ p3(X20)
          & ~ p2(X20)
          & ! [X22] :
              ( p3(X22)
              | ~ r1(X20,X22) )
          & p3(X20)
          & r1(X0,X20) )
      | ~ sP22(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f30,plain,
    ! [X0] :
      ( ! [X33] :
          ( p2(X33)
          | ? [X34] :
              ( ~ p3(X34)
              & r1(X33,X34) )
          | ~ p3(X33)
          | ~ r1(X0,X33) )
      | ~ sP23(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f31,plain,
    ! [X8] :
      ( ? [X10] :
          ( ~ p1(X10)
          & ! [X11] :
              ( p2(X11)
              | ~ r1(X10,X11) )
          & p2(X10)
          & r1(X8,X10) )
      | ~ sP24(X8) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).

fof(f32,plain,
    ! [X4] :
      ( ? [X5] :
          ( p1(X5)
          & ! [X6] :
              ( p1(X6)
              | ~ r1(X5,X6) )
          & p1(X5)
          & ~ p2(X5)
          & r1(X4,X5) )
      | ~ sP25(X4) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).

fof(f33,plain,
    ! [X0] :
      ( ? [X8] :
          ( p1(X8)
          & ! [X9] :
              ( p1(X9)
              | ~ r1(X8,X9) )
          & p1(X8)
          & ~ p2(X8)
          & sP24(X8)
          & r1(X0,X8) )
      | ~ sP26(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

fof(f34,plain,
    ! [X0] :
      ( ? [X4] :
          ( sP25(X4)
          & ~ p1(X4)
          & ! [X7] :
              ( p2(X7)
              | ~ r1(X4,X7) )
          & p2(X4)
          & r1(X0,X4) )
      | ~ sP27(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).

fof(f35,plain,
    ! [X0] :
      ( ? [X1] :
          ( p1(X1)
          & ! [X2] :
              ( p1(X2)
              | ~ r1(X1,X2) )
          & p1(X1)
          & ~ p2(X1)
          & ~ p1(X1)
          & ! [X3] :
              ( p2(X3)
              | ~ r1(X1,X3) )
          & p2(X1)
          & r1(X0,X1) )
      | ~ sP28(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X14] :
          ( p1(X14)
          | ? [X15] :
              ( ~ p2(X15)
              & r1(X14,X15) )
          | ~ p2(X14)
          | ~ r1(X0,X14) )
      | ~ sP29(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).

fof(f6,plain,
    ? [X0] :
      ( ( ? [X1] :
            ( p1(X1)
            & ! [X2] :
                ( p1(X2)
                | ~ r1(X1,X2) )
            & p1(X1)
            & ~ p2(X1)
            & ~ p1(X1)
            & ! [X3] :
                ( p2(X3)
                | ~ r1(X1,X3) )
            & p2(X1)
            & r1(X0,X1) )
        | ? [X4] :
            ( ? [X5] :
                ( p1(X5)
                & ! [X6] :
                    ( p1(X6)
                    | ~ r1(X5,X6) )
                & p1(X5)
                & ~ p2(X5)
                & r1(X4,X5) )
            & ~ p1(X4)
            & ! [X7] :
                ( p2(X7)
                | ~ r1(X4,X7) )
            & p2(X4)
            & r1(X0,X4) )
        | ? [X8] :
            ( p1(X8)
            & ! [X9] :
                ( p1(X9)
                | ~ r1(X8,X9) )
            & p1(X8)
            & ~ p2(X8)
            & ? [X10] :
                ( ~ p1(X10)
                & ! [X11] :
                    ( p2(X11)
                    | ~ r1(X10,X11) )
                & p2(X10)
                & r1(X8,X10) )
            & r1(X0,X8) )
        | ! [X12] :
            ( ~ p1(X12)
            | ? [X13] :
                ( ~ p1(X13)
                & r1(X12,X13) )
            | ~ p1(X12)
            | p2(X12)
            | ~ r1(X0,X12) )
        | ! [X14] :
            ( p1(X14)
            | ? [X15] :
                ( ~ p2(X15)
                & r1(X14,X15) )
            | ~ p2(X14)
            | ~ r1(X0,X14) ) )
      & ? [X16] :
          ( p5(X16)
          & ! [X17] :
              ( p5(X17)
              | ~ r1(X16,X17) )
          & ~ p5(X16)
          & r1(X0,X16) )
      & ? [X18] :
          ( p5(X18)
          & ! [X19] :
              ( p5(X19)
              | ~ r1(X18,X19) )
          & ~ p5(X18)
          & r1(X0,X18) )
      & ( ? [X20] :
            ( p2(X20)
            & ! [X21] :
                ( p2(X21)
                | ~ r1(X20,X21) )
            & p2(X20)
            & ~ p3(X20)
            & ~ p2(X20)
            & ! [X22] :
                ( p3(X22)
                | ~ r1(X20,X22) )
            & p3(X20)
            & r1(X0,X20) )
        | ? [X23] :
            ( ? [X24] :
                ( p2(X24)
                & ! [X25] :
                    ( p2(X25)
                    | ~ r1(X24,X25) )
                & p2(X24)
                & ~ p3(X24)
                & r1(X23,X24) )
            & ~ p2(X23)
            & ! [X26] :
                ( p3(X26)
                | ~ r1(X23,X26) )
            & p3(X23)
            & r1(X0,X23) )
        | ? [X27] :
            ( p2(X27)
            & ! [X28] :
                ( p2(X28)
                | ~ r1(X27,X28) )
            & p2(X27)
            & ~ p3(X27)
            & ? [X29] :
                ( ~ p2(X29)
                & ! [X30] :
                    ( p3(X30)
                    | ~ r1(X29,X30) )
                & p3(X29)
                & r1(X27,X29) )
            & r1(X0,X27) )
        | ! [X31] :
            ( ~ p2(X31)
            | ? [X32] :
                ( ~ p2(X32)
                & r1(X31,X32) )
            | ~ p2(X31)
            | p3(X31)
            | ~ r1(X0,X31) )
        | ! [X33] :
            ( p2(X33)
            | ? [X34] :
                ( ~ p3(X34)
                & r1(X33,X34) )
            | ~ p3(X33)
            | ~ r1(X0,X33) ) )
      & ( ? [X35] :
            ( p3(X35)
            & ! [X36] :
                ( p3(X36)
                | ~ r1(X35,X36) )
            & p3(X35)
            & ~ p4(X35)
            & ~ p3(X35)
            & ! [X37] :
                ( p4(X37)
                | ~ r1(X35,X37) )
            & p4(X35)
            & r1(X0,X35) )
        | ? [X38] :
            ( ? [X39] :
                ( p3(X39)
                & ! [X40] :
                    ( p3(X40)
                    | ~ r1(X39,X40) )
                & p3(X39)
                & ~ p4(X39)
                & r1(X38,X39) )
            & ~ p3(X38)
            & ! [X41] :
                ( p4(X41)
                | ~ r1(X38,X41) )
            & p4(X38)
            & r1(X0,X38) )
        | ? [X42] :
            ( p3(X42)
            & ! [X43] :
                ( p3(X43)
                | ~ r1(X42,X43) )
            & p3(X42)
            & ~ p4(X42)
            & ? [X44] :
                ( ~ p3(X44)
                & ! [X45] :
                    ( p4(X45)
                    | ~ r1(X44,X45) )
                & p4(X44)
                & r1(X42,X44) )
            & r1(X0,X42) )
        | ! [X46] :
            ( ~ p3(X46)
            | ? [X47] :
                ( ~ p3(X47)
                & r1(X46,X47) )
            | ~ p3(X46)
            | p4(X46)
            | ~ r1(X0,X46) )
        | ! [X48] :
            ( p3(X48)
            | ? [X49] :
                ( ~ p4(X49)
                & r1(X48,X49) )
            | ~ p4(X48)
            | ~ r1(X0,X48) ) )
      & ( ? [X50] :
            ( p4(X50)
            & ! [X51] :
                ( p4(X51)
                | ~ r1(X50,X51) )
            & p4(X50)
            & ~ p5(X50)
            & ~ p4(X50)
            & ! [X52] :
                ( p5(X52)
                | ~ r1(X50,X52) )
            & p5(X50)
            & r1(X0,X50) )
        | ? [X53] :
            ( ? [X54] :
                ( p4(X54)
                & ! [X55] :
                    ( p4(X55)
                    | ~ r1(X54,X55) )
                & p4(X54)
                & ~ p5(X54)
                & r1(X53,X54) )
            & ~ p4(X53)
            & ! [X56] :
                ( p5(X56)
                | ~ r1(X53,X56) )
            & p5(X53)
            & r1(X0,X53) )
        | ? [X57] :
            ( p4(X57)
            & ! [X58] :
                ( p4(X58)
                | ~ r1(X57,X58) )
            & p4(X57)
            & ~ p5(X57)
            & ? [X59] :
                ( ~ p4(X59)
                & ! [X60] :
                    ( p5(X60)
                    | ~ r1(X59,X60) )
                & p5(X59)
                & r1(X57,X59) )
            & r1(X0,X57) )
        | ! [X61] :
            ( ~ p4(X61)
            | ? [X62] :
                ( ~ p4(X62)
                & r1(X61,X62) )
            | ~ p4(X61)
            | p5(X61)
            | ~ r1(X0,X61) )
        | ! [X63] :
            ( p4(X63)
            | ? [X64] :
                ( ~ p5(X64)
                & r1(X63,X64) )
            | ~ p5(X63)
            | ~ r1(X0,X63) ) )
      & ( ? [X65] :
            ( p5(X65)
            & ! [X66] :
                ( p5(X66)
                | ~ r1(X65,X66) )
            & p5(X65)
            & ~ p6(X65)
            & ~ p5(X65)
            & ! [X67] :
                ( p6(X67)
                | ~ r1(X65,X67) )
            & p6(X65)
            & r1(X0,X65) )
        | ? [X68] :
            ( ? [X69] :
                ( p5(X69)
                & ! [X70] :
                    ( p5(X70)
                    | ~ r1(X69,X70) )
                & p5(X69)
                & ~ p6(X69)
                & r1(X68,X69) )
            & ~ p5(X68)
            & ! [X71] :
                ( p6(X71)
                | ~ r1(X68,X71) )
            & p6(X68)
            & r1(X0,X68) )
        | ? [X72] :
            ( p5(X72)
            & ! [X73] :
                ( p5(X73)
                | ~ r1(X72,X73) )
            & p5(X72)
            & ~ p6(X72)
            & ? [X74] :
                ( ~ p5(X74)
                & ! [X75] :
                    ( p6(X75)
                    | ~ r1(X74,X75) )
                & p6(X74)
                & r1(X72,X74) )
            & r1(X0,X72) )
        | ! [X76] :
            ( ~ p5(X76)
            | ? [X77] :
                ( ~ p5(X77)
                & r1(X76,X77) )
            | ~ p5(X76)
            | p6(X76)
            | ~ r1(X0,X76) )
        | ! [X78] :
            ( p5(X78)
            | ? [X79] :
                ( ~ p6(X79)
                & r1(X78,X79) )
            | ~ p6(X78)
            | ~ r1(X0,X78) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ? [X0] :
      ( ( ? [X1] :
            ( p1(X1)
            & ! [X2] :
                ( p1(X2)
                | ~ r1(X1,X2) )
            & p1(X1)
            & ~ p2(X1)
            & ~ p1(X1)
            & ! [X3] :
                ( p2(X3)
                | ~ r1(X1,X3) )
            & p2(X1)
            & r1(X0,X1) )
        | ? [X4] :
            ( ? [X5] :
                ( p1(X5)
                & ! [X6] :
                    ( p1(X6)
                    | ~ r1(X5,X6) )
                & p1(X5)
                & ~ p2(X5)
                & r1(X4,X5) )
            & ~ p1(X4)
            & ! [X7] :
                ( p2(X7)
                | ~ r1(X4,X7) )
            & p2(X4)
            & r1(X0,X4) )
        | ? [X8] :
            ( p1(X8)
            & ! [X9] :
                ( p1(X9)
                | ~ r1(X8,X9) )
            & p1(X8)
            & ~ p2(X8)
            & ? [X10] :
                ( ~ p1(X10)
                & ! [X11] :
                    ( p2(X11)
                    | ~ r1(X10,X11) )
                & p2(X10)
                & r1(X8,X10) )
            & r1(X0,X8) )
        | ! [X12] :
            ( ~ p1(X12)
            | ? [X13] :
                ( ~ p1(X13)
                & r1(X12,X13) )
            | ~ p1(X12)
            | p2(X12)
            | ~ r1(X0,X12) )
        | ! [X14] :
            ( p1(X14)
            | ? [X15] :
                ( ~ p2(X15)
                & r1(X14,X15) )
            | ~ p2(X14)
            | ~ r1(X0,X14) ) )
      & ? [X16] :
          ( p5(X16)
          & ! [X17] :
              ( p5(X17)
              | ~ r1(X16,X17) )
          & ~ p5(X16)
          & r1(X0,X16) )
      & ? [X18] :
          ( p5(X18)
          & ! [X19] :
              ( p5(X19)
              | ~ r1(X18,X19) )
          & ~ p5(X18)
          & r1(X0,X18) )
      & ( ? [X20] :
            ( p2(X20)
            & ! [X21] :
                ( p2(X21)
                | ~ r1(X20,X21) )
            & p2(X20)
            & ~ p3(X20)
            & ~ p2(X20)
            & ! [X22] :
                ( p3(X22)
                | ~ r1(X20,X22) )
            & p3(X20)
            & r1(X0,X20) )
        | ? [X23] :
            ( ? [X24] :
                ( p2(X24)
                & ! [X25] :
                    ( p2(X25)
                    | ~ r1(X24,X25) )
                & p2(X24)
                & ~ p3(X24)
                & r1(X23,X24) )
            & ~ p2(X23)
            & ! [X26] :
                ( p3(X26)
                | ~ r1(X23,X26) )
            & p3(X23)
            & r1(X0,X23) )
        | ? [X27] :
            ( p2(X27)
            & ! [X28] :
                ( p2(X28)
                | ~ r1(X27,X28) )
            & p2(X27)
            & ~ p3(X27)
            & ? [X29] :
                ( ~ p2(X29)
                & ! [X30] :
                    ( p3(X30)
                    | ~ r1(X29,X30) )
                & p3(X29)
                & r1(X27,X29) )
            & r1(X0,X27) )
        | ! [X31] :
            ( ~ p2(X31)
            | ? [X32] :
                ( ~ p2(X32)
                & r1(X31,X32) )
            | ~ p2(X31)
            | p3(X31)
            | ~ r1(X0,X31) )
        | ! [X33] :
            ( p2(X33)
            | ? [X34] :
                ( ~ p3(X34)
                & r1(X33,X34) )
            | ~ p3(X33)
            | ~ r1(X0,X33) ) )
      & ( ? [X35] :
            ( p3(X35)
            & ! [X36] :
                ( p3(X36)
                | ~ r1(X35,X36) )
            & p3(X35)
            & ~ p4(X35)
            & ~ p3(X35)
            & ! [X37] :
                ( p4(X37)
                | ~ r1(X35,X37) )
            & p4(X35)
            & r1(X0,X35) )
        | ? [X38] :
            ( ? [X39] :
                ( p3(X39)
                & ! [X40] :
                    ( p3(X40)
                    | ~ r1(X39,X40) )
                & p3(X39)
                & ~ p4(X39)
                & r1(X38,X39) )
            & ~ p3(X38)
            & ! [X41] :
                ( p4(X41)
                | ~ r1(X38,X41) )
            & p4(X38)
            & r1(X0,X38) )
        | ? [X42] :
            ( p3(X42)
            & ! [X43] :
                ( p3(X43)
                | ~ r1(X42,X43) )
            & p3(X42)
            & ~ p4(X42)
            & ? [X44] :
                ( ~ p3(X44)
                & ! [X45] :
                    ( p4(X45)
                    | ~ r1(X44,X45) )
                & p4(X44)
                & r1(X42,X44) )
            & r1(X0,X42) )
        | ! [X46] :
            ( ~ p3(X46)
            | ? [X47] :
                ( ~ p3(X47)
                & r1(X46,X47) )
            | ~ p3(X46)
            | p4(X46)
            | ~ r1(X0,X46) )
        | ! [X48] :
            ( p3(X48)
            | ? [X49] :
                ( ~ p4(X49)
                & r1(X48,X49) )
            | ~ p4(X48)
            | ~ r1(X0,X48) ) )
      & ( ? [X50] :
            ( p4(X50)
            & ! [X51] :
                ( p4(X51)
                | ~ r1(X50,X51) )
            & p4(X50)
            & ~ p5(X50)
            & ~ p4(X50)
            & ! [X52] :
                ( p5(X52)
                | ~ r1(X50,X52) )
            & p5(X50)
            & r1(X0,X50) )
        | ? [X53] :
            ( ? [X54] :
                ( p4(X54)
                & ! [X55] :
                    ( p4(X55)
                    | ~ r1(X54,X55) )
                & p4(X54)
                & ~ p5(X54)
                & r1(X53,X54) )
            & ~ p4(X53)
            & ! [X56] :
                ( p5(X56)
                | ~ r1(X53,X56) )
            & p5(X53)
            & r1(X0,X53) )
        | ? [X57] :
            ( p4(X57)
            & ! [X58] :
                ( p4(X58)
                | ~ r1(X57,X58) )
            & p4(X57)
            & ~ p5(X57)
            & ? [X59] :
                ( ~ p4(X59)
                & ! [X60] :
                    ( p5(X60)
                    | ~ r1(X59,X60) )
                & p5(X59)
                & r1(X57,X59) )
            & r1(X0,X57) )
        | ! [X61] :
            ( ~ p4(X61)
            | ? [X62] :
                ( ~ p4(X62)
                & r1(X61,X62) )
            | ~ p4(X61)
            | p5(X61)
            | ~ r1(X0,X61) )
        | ! [X63] :
            ( p4(X63)
            | ? [X64] :
                ( ~ p5(X64)
                & r1(X63,X64) )
            | ~ p5(X63)
            | ~ r1(X0,X63) ) )
      & ( ? [X65] :
            ( p5(X65)
            & ! [X66] :
                ( p5(X66)
                | ~ r1(X65,X66) )
            & p5(X65)
            & ~ p6(X65)
            & ~ p5(X65)
            & ! [X67] :
                ( p6(X67)
                | ~ r1(X65,X67) )
            & p6(X65)
            & r1(X0,X65) )
        | ? [X68] :
            ( ? [X69] :
                ( p5(X69)
                & ! [X70] :
                    ( p5(X70)
                    | ~ r1(X69,X70) )
                & p5(X69)
                & ~ p6(X69)
                & r1(X68,X69) )
            & ~ p5(X68)
            & ! [X71] :
                ( p6(X71)
                | ~ r1(X68,X71) )
            & p6(X68)
            & r1(X0,X68) )
        | ? [X72] :
            ( p5(X72)
            & ! [X73] :
                ( p5(X73)
                | ~ r1(X72,X73) )
            & p5(X72)
            & ~ p6(X72)
            & ? [X74] :
                ( ~ p5(X74)
                & ! [X75] :
                    ( p6(X75)
                    | ~ r1(X74,X75) )
                & p6(X74)
                & r1(X72,X74) )
            & r1(X0,X72) )
        | ! [X76] :
            ( ~ p5(X76)
            | ? [X77] :
                ( ~ p5(X77)
                & r1(X76,X77) )
            | ~ p5(X76)
            | p6(X76)
            | ~ r1(X0,X76) )
        | ! [X78] :
            ( p5(X78)
            | ? [X79] :
                ( ~ p6(X79)
                & r1(X78,X79) )
            | ~ p6(X78)
            | ~ r1(X0,X78) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ? [X0] :
      ~ ( ~ ( ~ ( ! [X1] :
                    ( ~ ( p1(X1)
                        & ! [X2] :
                            ( p1(X2)
                            | ~ r1(X1,X2) )
                        & p1(X1) )
                    | p2(X1)
                    | p1(X1)
                    | ~ ( ! [X3] :
                            ( p2(X3)
                            | ~ r1(X1,X3) )
                        & p2(X1) )
                    | ~ r1(X0,X1) )
                & ! [X4] :
                    ( ! [X5] :
                        ( ~ ( p1(X5)
                            & ! [X6] :
                                ( p1(X6)
                                | ~ r1(X5,X6) )
                            & p1(X5) )
                        | p2(X5)
                        | ~ r1(X4,X5) )
                    | p1(X4)
                    | ~ ( ! [X7] :
                            ( p2(X7)
                            | ~ r1(X4,X7) )
                        & p2(X4) )
                    | ~ r1(X0,X4) )
                & ! [X8] :
                    ( ~ ( p1(X8)
                        & ! [X9] :
                            ( p1(X9)
                            | ~ r1(X8,X9) )
                        & p1(X8) )
                    | p2(X8)
                    | ! [X10] :
                        ( p1(X10)
                        | ~ ( ! [X11] :
                                ( p2(X11)
                                | ~ r1(X10,X11) )
                            & p2(X10) )
                        | ~ r1(X8,X10) )
                    | ~ r1(X0,X8) ) )
            | ! [X12] :
                ( ~ ( p1(X12)
                    & ! [X13] :
                        ( p1(X13)
                        | ~ r1(X12,X13) )
                    & p1(X12) )
                | p2(X12)
                | ~ r1(X0,X12) )
            | ! [X14] :
                ( p1(X14)
                | ~ ( ! [X15] :
                        ( p2(X15)
                        | ~ r1(X14,X15) )
                    & p2(X14) )
                | ~ r1(X0,X14) ) )
        | ! [X16] :
            ( ~ ( p5(X16)
                & ! [X17] :
                    ( p5(X17)
                    | ~ r1(X16,X17) ) )
            | p5(X16)
            | ~ r1(X0,X16) )
        | ! [X18] :
            ( ~ ( p5(X18)
                & ! [X19] :
                    ( p5(X19)
                    | ~ r1(X18,X19) ) )
            | p5(X18)
            | ~ r1(X0,X18) )
        | ~ ( ~ ( ! [X20] :
                    ( ~ ( p2(X20)
                        & ! [X21] :
                            ( p2(X21)
                            | ~ r1(X20,X21) )
                        & p2(X20) )
                    | p3(X20)
                    | p2(X20)
                    | ~ ( ! [X22] :
                            ( p3(X22)
                            | ~ r1(X20,X22) )
                        & p3(X20) )
                    | ~ r1(X0,X20) )
                & ! [X23] :
                    ( ! [X24] :
                        ( ~ ( p2(X24)
                            & ! [X25] :
                                ( p2(X25)
                                | ~ r1(X24,X25) )
                            & p2(X24) )
                        | p3(X24)
                        | ~ r1(X23,X24) )
                    | p2(X23)
                    | ~ ( ! [X26] :
                            ( p3(X26)
                            | ~ r1(X23,X26) )
                        & p3(X23) )
                    | ~ r1(X0,X23) )
                & ! [X27] :
                    ( ~ ( p2(X27)
                        & ! [X28] :
                            ( p2(X28)
                            | ~ r1(X27,X28) )
                        & p2(X27) )
                    | p3(X27)
                    | ! [X29] :
                        ( p2(X29)
                        | ~ ( ! [X30] :
                                ( p3(X30)
                                | ~ r1(X29,X30) )
                            & p3(X29) )
                        | ~ r1(X27,X29) )
                    | ~ r1(X0,X27) ) )
            | ! [X31] :
                ( ~ ( p2(X31)
                    & ! [X32] :
                        ( p2(X32)
                        | ~ r1(X31,X32) )
                    & p2(X31) )
                | p3(X31)
                | ~ r1(X0,X31) )
            | ! [X33] :
                ( p2(X33)
                | ~ ( ! [X34] :
                        ( p3(X34)
                        | ~ r1(X33,X34) )
                    & p3(X33) )
                | ~ r1(X0,X33) ) )
        | ~ ( ~ ( ! [X35] :
                    ( ~ ( p3(X35)
                        & ! [X36] :
                            ( p3(X36)
                            | ~ r1(X35,X36) )
                        & p3(X35) )
                    | p4(X35)
                    | p3(X35)
                    | ~ ( ! [X37] :
                            ( p4(X37)
                            | ~ r1(X35,X37) )
                        & p4(X35) )
                    | ~ r1(X0,X35) )
                & ! [X38] :
                    ( ! [X39] :
                        ( ~ ( p3(X39)
                            & ! [X40] :
                                ( p3(X40)
                                | ~ r1(X39,X40) )
                            & p3(X39) )
                        | p4(X39)
                        | ~ r1(X38,X39) )
                    | p3(X38)
                    | ~ ( ! [X41] :
                            ( p4(X41)
                            | ~ r1(X38,X41) )
                        & p4(X38) )
                    | ~ r1(X0,X38) )
                & ! [X42] :
                    ( ~ ( p3(X42)
                        & ! [X43] :
                            ( p3(X43)
                            | ~ r1(X42,X43) )
                        & p3(X42) )
                    | p4(X42)
                    | ! [X44] :
                        ( p3(X44)
                        | ~ ( ! [X45] :
                                ( p4(X45)
                                | ~ r1(X44,X45) )
                            & p4(X44) )
                        | ~ r1(X42,X44) )
                    | ~ r1(X0,X42) ) )
            | ! [X46] :
                ( ~ ( p3(X46)
                    & ! [X47] :
                        ( p3(X47)
                        | ~ r1(X46,X47) )
                    & p3(X46) )
                | p4(X46)
                | ~ r1(X0,X46) )
            | ! [X48] :
                ( p3(X48)
                | ~ ( ! [X49] :
                        ( p4(X49)
                        | ~ r1(X48,X49) )
                    & p4(X48) )
                | ~ r1(X0,X48) ) )
        | ~ ( ~ ( ! [X50] :
                    ( ~ ( p4(X50)
                        & ! [X51] :
                            ( p4(X51)
                            | ~ r1(X50,X51) )
                        & p4(X50) )
                    | p5(X50)
                    | p4(X50)
                    | ~ ( ! [X52] :
                            ( p5(X52)
                            | ~ r1(X50,X52) )
                        & p5(X50) )
                    | ~ r1(X0,X50) )
                & ! [X53] :
                    ( ! [X54] :
                        ( ~ ( p4(X54)
                            & ! [X55] :
                                ( p4(X55)
                                | ~ r1(X54,X55) )
                            & p4(X54) )
                        | p5(X54)
                        | ~ r1(X53,X54) )
                    | p4(X53)
                    | ~ ( ! [X56] :
                            ( p5(X56)
                            | ~ r1(X53,X56) )
                        & p5(X53) )
                    | ~ r1(X0,X53) )
                & ! [X57] :
                    ( ~ ( p4(X57)
                        & ! [X58] :
                            ( p4(X58)
                            | ~ r1(X57,X58) )
                        & p4(X57) )
                    | p5(X57)
                    | ! [X59] :
                        ( p4(X59)
                        | ~ ( ! [X60] :
                                ( p5(X60)
                                | ~ r1(X59,X60) )
                            & p5(X59) )
                        | ~ r1(X57,X59) )
                    | ~ r1(X0,X57) ) )
            | ! [X61] :
                ( ~ ( p4(X61)
                    & ! [X62] :
                        ( p4(X62)
                        | ~ r1(X61,X62) )
                    & p4(X61) )
                | p5(X61)
                | ~ r1(X0,X61) )
            | ! [X63] :
                ( p4(X63)
                | ~ ( ! [X64] :
                        ( p5(X64)
                        | ~ r1(X63,X64) )
                    & p5(X63) )
                | ~ r1(X0,X63) ) )
        | ~ ( ~ ( ! [X65] :
                    ( ~ ( p5(X65)
                        & ! [X66] :
                            ( p5(X66)
                            | ~ r1(X65,X66) )
                        & p5(X65) )
                    | p6(X65)
                    | p5(X65)
                    | ~ ( ! [X67] :
                            ( p6(X67)
                            | ~ r1(X65,X67) )
                        & p6(X65) )
                    | ~ r1(X0,X65) )
                & ! [X68] :
                    ( ! [X69] :
                        ( ~ ( p5(X69)
                            & ! [X70] :
                                ( p5(X70)
                                | ~ r1(X69,X70) )
                            & p5(X69) )
                        | p6(X69)
                        | ~ r1(X68,X69) )
                    | p5(X68)
                    | ~ ( ! [X71] :
                            ( p6(X71)
                            | ~ r1(X68,X71) )
                        & p6(X68) )
                    | ~ r1(X0,X68) )
                & ! [X72] :
                    ( ~ ( p5(X72)
                        & ! [X73] :
                            ( p5(X73)
                            | ~ r1(X72,X73) )
                        & p5(X72) )
                    | p6(X72)
                    | ! [X74] :
                        ( p5(X74)
                        | ~ ( ! [X75] :
                                ( p6(X75)
                                | ~ r1(X74,X75) )
                            & p6(X74) )
                        | ~ r1(X72,X74) )
                    | ~ r1(X0,X72) ) )
            | ! [X76] :
                ( ~ ( p5(X76)
                    & ! [X77] :
                        ( p5(X77)
                        | ~ r1(X76,X77) )
                    & p5(X76) )
                | p6(X76)
                | ~ r1(X0,X76) )
            | ! [X78] :
                ( p5(X78)
                | ~ ( ! [X79] :
                        ( p6(X79)
                        | ~ r1(X78,X79) )
                    & p6(X78) )
                | ~ r1(X0,X78) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ( ~ ( ! [X1] :
                        ( ~ ( p1(X1)
                            & ! [X2] :
                                ( p1(X2)
                                | ~ r1(X1,X2) )
                            & p1(X1) )
                        | p2(X1)
                        | p1(X1)
                        | ~ ( ! [X3] :
                                ( p2(X3)
                                | ~ r1(X1,X3) )
                            & p2(X1) )
                        | ~ r1(X0,X1) )
                    & ! [X4] :
                        ( ! [X5] :
                            ( ~ ( p1(X5)
                                & ! [X6] :
                                    ( p1(X6)
                                    | ~ r1(X5,X6) )
                                & p1(X5) )
                            | p2(X5)
                            | ~ r1(X4,X5) )
                        | p1(X4)
                        | ~ ( ! [X7] :
                                ( p2(X7)
                                | ~ r1(X4,X7) )
                            & p2(X4) )
                        | ~ r1(X0,X4) )
                    & ! [X8] :
                        ( ~ ( p1(X8)
                            & ! [X9] :
                                ( p1(X9)
                                | ~ r1(X8,X9) )
                            & p1(X8) )
                        | p2(X8)
                        | ! [X10] :
                            ( p1(X10)
                            | ~ ( ! [X11] :
                                    ( p2(X11)
                                    | ~ r1(X10,X11) )
                                & p2(X10) )
                            | ~ r1(X8,X10) )
                        | ~ r1(X0,X8) ) )
                | ! [X12] :
                    ( ~ ( p1(X12)
                        & ! [X13] :
                            ( p1(X13)
                            | ~ r1(X12,X13) )
                        & p1(X12) )
                    | p2(X12)
                    | ~ r1(X0,X12) )
                | ! [X14] :
                    ( p1(X14)
                    | ~ ( ! [X15] :
                            ( p2(X15)
                            | ~ r1(X14,X15) )
                        & p2(X14) )
                    | ~ r1(X0,X14) ) )
            | ! [X16] :
                ( ~ ( p5(X16)
                    & ! [X17] :
                        ( p5(X17)
                        | ~ r1(X16,X17) ) )
                | p5(X16)
                | ~ r1(X0,X16) )
            | ! [X18] :
                ( ~ ( p5(X18)
                    & ! [X19] :
                        ( p5(X19)
                        | ~ r1(X18,X19) ) )
                | p5(X18)
                | ~ r1(X0,X18) )
            | ~ ( ~ ( ! [X20] :
                        ( ~ ( p2(X20)
                            & ! [X21] :
                                ( p2(X21)
                                | ~ r1(X20,X21) )
                            & p2(X20) )
                        | p3(X20)
                        | p2(X20)
                        | ~ ( ! [X22] :
                                ( p3(X22)
                                | ~ r1(X20,X22) )
                            & p3(X20) )
                        | ~ r1(X0,X20) )
                    & ! [X23] :
                        ( ! [X24] :
                            ( ~ ( p2(X24)
                                & ! [X25] :
                                    ( p2(X25)
                                    | ~ r1(X24,X25) )
                                & p2(X24) )
                            | p3(X24)
                            | ~ r1(X23,X24) )
                        | p2(X23)
                        | ~ ( ! [X26] :
                                ( p3(X26)
                                | ~ r1(X23,X26) )
                            & p3(X23) )
                        | ~ r1(X0,X23) )
                    & ! [X27] :
                        ( ~ ( p2(X27)
                            & ! [X28] :
                                ( p2(X28)
                                | ~ r1(X27,X28) )
                            & p2(X27) )
                        | p3(X27)
                        | ! [X29] :
                            ( p2(X29)
                            | ~ ( ! [X30] :
                                    ( p3(X30)
                                    | ~ r1(X29,X30) )
                                & p3(X29) )
                            | ~ r1(X27,X29) )
                        | ~ r1(X0,X27) ) )
                | ! [X31] :
                    ( ~ ( p2(X31)
                        & ! [X32] :
                            ( p2(X32)
                            | ~ r1(X31,X32) )
                        & p2(X31) )
                    | p3(X31)
                    | ~ r1(X0,X31) )
                | ! [X33] :
                    ( p2(X33)
                    | ~ ( ! [X34] :
                            ( p3(X34)
                            | ~ r1(X33,X34) )
                        & p3(X33) )
                    | ~ r1(X0,X33) ) )
            | ~ ( ~ ( ! [X35] :
                        ( ~ ( p3(X35)
                            & ! [X36] :
                                ( p3(X36)
                                | ~ r1(X35,X36) )
                            & p3(X35) )
                        | p4(X35)
                        | p3(X35)
                        | ~ ( ! [X37] :
                                ( p4(X37)
                                | ~ r1(X35,X37) )
                            & p4(X35) )
                        | ~ r1(X0,X35) )
                    & ! [X38] :
                        ( ! [X39] :
                            ( ~ ( p3(X39)
                                & ! [X40] :
                                    ( p3(X40)
                                    | ~ r1(X39,X40) )
                                & p3(X39) )
                            | p4(X39)
                            | ~ r1(X38,X39) )
                        | p3(X38)
                        | ~ ( ! [X41] :
                                ( p4(X41)
                                | ~ r1(X38,X41) )
                            & p4(X38) )
                        | ~ r1(X0,X38) )
                    & ! [X42] :
                        ( ~ ( p3(X42)
                            & ! [X43] :
                                ( p3(X43)
                                | ~ r1(X42,X43) )
                            & p3(X42) )
                        | p4(X42)
                        | ! [X44] :
                            ( p3(X44)
                            | ~ ( ! [X45] :
                                    ( p4(X45)
                                    | ~ r1(X44,X45) )
                                & p4(X44) )
                            | ~ r1(X42,X44) )
                        | ~ r1(X0,X42) ) )
                | ! [X46] :
                    ( ~ ( p3(X46)
                        & ! [X47] :
                            ( p3(X47)
                            | ~ r1(X46,X47) )
                        & p3(X46) )
                    | p4(X46)
                    | ~ r1(X0,X46) )
                | ! [X48] :
                    ( p3(X48)
                    | ~ ( ! [X49] :
                            ( p4(X49)
                            | ~ r1(X48,X49) )
                        & p4(X48) )
                    | ~ r1(X0,X48) ) )
            | ~ ( ~ ( ! [X50] :
                        ( ~ ( p4(X50)
                            & ! [X51] :
                                ( p4(X51)
                                | ~ r1(X50,X51) )
                            & p4(X50) )
                        | p5(X50)
                        | p4(X50)
                        | ~ ( ! [X52] :
                                ( p5(X52)
                                | ~ r1(X50,X52) )
                            & p5(X50) )
                        | ~ r1(X0,X50) )
                    & ! [X53] :
                        ( ! [X54] :
                            ( ~ ( p4(X54)
                                & ! [X55] :
                                    ( p4(X55)
                                    | ~ r1(X54,X55) )
                                & p4(X54) )
                            | p5(X54)
                            | ~ r1(X53,X54) )
                        | p4(X53)
                        | ~ ( ! [X56] :
                                ( p5(X56)
                                | ~ r1(X53,X56) )
                            & p5(X53) )
                        | ~ r1(X0,X53) )
                    & ! [X57] :
                        ( ~ ( p4(X57)
                            & ! [X58] :
                                ( p4(X58)
                                | ~ r1(X57,X58) )
                            & p4(X57) )
                        | p5(X57)
                        | ! [X59] :
                            ( p4(X59)
                            | ~ ( ! [X60] :
                                    ( p5(X60)
                                    | ~ r1(X59,X60) )
                                & p5(X59) )
                            | ~ r1(X57,X59) )
                        | ~ r1(X0,X57) ) )
                | ! [X61] :
                    ( ~ ( p4(X61)
                        & ! [X62] :
                            ( p4(X62)
                            | ~ r1(X61,X62) )
                        & p4(X61) )
                    | p5(X61)
                    | ~ r1(X0,X61) )
                | ! [X63] :
                    ( p4(X63)
                    | ~ ( ! [X64] :
                            ( p5(X64)
                            | ~ r1(X63,X64) )
                        & p5(X63) )
                    | ~ r1(X0,X63) ) )
            | ~ ( ~ ( ! [X65] :
                        ( ~ ( p5(X65)
                            & ! [X66] :
                                ( p5(X66)
                                | ~ r1(X65,X66) )
                            & p5(X65) )
                        | p6(X65)
                        | p5(X65)
                        | ~ ( ! [X67] :
                                ( p6(X67)
                                | ~ r1(X65,X67) )
                            & p6(X65) )
                        | ~ r1(X0,X65) )
                    & ! [X68] :
                        ( ! [X69] :
                            ( ~ ( p5(X69)
                                & ! [X70] :
                                    ( p5(X70)
                                    | ~ r1(X69,X70) )
                                & p5(X69) )
                            | p6(X69)
                            | ~ r1(X68,X69) )
                        | p5(X68)
                        | ~ ( ! [X71] :
                                ( p6(X71)
                                | ~ r1(X68,X71) )
                            & p6(X68) )
                        | ~ r1(X0,X68) )
                    & ! [X72] :
                        ( ~ ( p5(X72)
                            & ! [X73] :
                                ( p5(X73)
                                | ~ r1(X72,X73) )
                            & p5(X72) )
                        | p6(X72)
                        | ! [X74] :
                            ( p5(X74)
                            | ~ ( ! [X75] :
                                    ( p6(X75)
                                    | ~ r1(X74,X75) )
                                & p6(X74) )
                            | ~ r1(X72,X74) )
                        | ~ r1(X0,X72) ) )
                | ! [X76] :
                    ( ~ ( p5(X76)
                        & ! [X77] :
                            ( p5(X77)
                            | ~ r1(X76,X77) )
                        & p5(X76) )
                    | p6(X76)
                    | ~ r1(X0,X76) )
                | ! [X78] :
                    ( p5(X78)
                    | ~ ( ! [X79] :
                            ( p6(X79)
                            | ~ r1(X78,X79) )
                        & p6(X78) )
                    | ~ r1(X0,X78) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ( ~ ( ! [X1] :
                        ( ~ ( p1(X1)
                            & ! [X0] :
                                ( p1(X0)
                                | ~ r1(X1,X0) )
                            & p1(X1) )
                        | p2(X1)
                        | p1(X1)
                        | ~ ( ! [X0] :
                                ( p2(X0)
                                | ~ r1(X1,X0) )
                            & p2(X1) )
                        | ~ r1(X0,X1) )
                    & ! [X1] :
                        ( ! [X0] :
                            ( ~ ( p1(X0)
                                & ! [X1] :
                                    ( p1(X1)
                                    | ~ r1(X0,X1) )
                                & p1(X0) )
                            | p2(X0)
                            | ~ r1(X1,X0) )
                        | p1(X1)
                        | ~ ( ! [X0] :
                                ( p2(X0)
                                | ~ r1(X1,X0) )
                            & p2(X1) )
                        | ~ r1(X0,X1) )
                    & ! [X1] :
                        ( ~ ( p1(X1)
                            & ! [X0] :
                                ( p1(X0)
                                | ~ r1(X1,X0) )
                            & p1(X1) )
                        | p2(X1)
                        | ! [X0] :
                            ( p1(X0)
                            | ~ ( ! [X1] :
                                    ( p2(X1)
                                    | ~ r1(X0,X1) )
                                & p2(X0) )
                            | ~ r1(X1,X0) )
                        | ~ r1(X0,X1) ) )
                | ! [X1] :
                    ( ~ ( p1(X1)
                        & ! [X0] :
                            ( p1(X0)
                            | ~ r1(X1,X0) )
                        & p1(X1) )
                    | p2(X1)
                    | ~ r1(X0,X1) )
                | ! [X1] :
                    ( p1(X1)
                    | ~ ( ! [X0] :
                            ( p2(X0)
                            | ~ r1(X1,X0) )
                        & p2(X1) )
                    | ~ r1(X0,X1) ) )
            | ! [X1] :
                ( ~ ( p5(X1)
                    & ! [X0] :
                        ( p5(X0)
                        | ~ r1(X1,X0) ) )
                | p5(X1)
                | ~ r1(X0,X1) )
            | ! [X1] :
                ( ~ ( p5(X1)
                    & ! [X0] :
                        ( p5(X0)
                        | ~ r1(X1,X0) ) )
                | p5(X1)
                | ~ r1(X0,X1) )
            | ~ ( ~ ( ! [X1] :
                        ( ~ ( p2(X1)
                            & ! [X0] :
                                ( p2(X0)
                                | ~ r1(X1,X0) )
                            & p2(X1) )
                        | p3(X1)
                        | p2(X1)
                        | ~ ( ! [X0] :
                                ( p3(X0)
                                | ~ r1(X1,X0) )
                            & p3(X1) )
                        | ~ r1(X0,X1) )
                    & ! [X1] :
                        ( ! [X0] :
                            ( ~ ( p2(X0)
                                & ! [X1] :
                                    ( p2(X1)
                                    | ~ r1(X0,X1) )
                                & p2(X0) )
                            | p3(X0)
                            | ~ r1(X1,X0) )
                        | p2(X1)
                        | ~ ( ! [X0] :
                                ( p3(X0)
                                | ~ r1(X1,X0) )
                            & p3(X1) )
                        | ~ r1(X0,X1) )
                    & ! [X1] :
                        ( ~ ( p2(X1)
                            & ! [X0] :
                                ( p2(X0)
                                | ~ r1(X1,X0) )
                            & p2(X1) )
                        | p3(X1)
                        | ! [X0] :
                            ( p2(X0)
                            | ~ ( ! [X1] :
                                    ( p3(X1)
                                    | ~ r1(X0,X1) )
                                & p3(X0) )
                            | ~ r1(X1,X0) )
                        | ~ r1(X0,X1) ) )
                | ! [X1] :
                    ( ~ ( p2(X1)
                        & ! [X0] :
                            ( p2(X0)
                            | ~ r1(X1,X0) )
                        & p2(X1) )
                    | p3(X1)
                    | ~ r1(X0,X1) )
                | ! [X1] :
                    ( p2(X1)
                    | ~ ( ! [X0] :
                            ( p3(X0)
                            | ~ r1(X1,X0) )
                        & p3(X1) )
                    | ~ r1(X0,X1) ) )
            | ~ ( ~ ( ! [X1] :
                        ( ~ ( p3(X1)
                            & ! [X0] :
                                ( p3(X0)
                                | ~ r1(X1,X0) )
                            & p3(X1) )
                        | p4(X1)
                        | p3(X1)
                        | ~ ( ! [X0] :
                                ( p4(X0)
                                | ~ r1(X1,X0) )
                            & p4(X1) )
                        | ~ r1(X0,X1) )
                    & ! [X1] :
                        ( ! [X0] :
                            ( ~ ( p3(X0)
                                & ! [X1] :
                                    ( p3(X1)
                                    | ~ r1(X0,X1) )
                                & p3(X0) )
                            | p4(X0)
                            | ~ r1(X1,X0) )
                        | p3(X1)
                        | ~ ( ! [X0] :
                                ( p4(X0)
                                | ~ r1(X1,X0) )
                            & p4(X1) )
                        | ~ r1(X0,X1) )
                    & ! [X1] :
                        ( ~ ( p3(X1)
                            & ! [X0] :
                                ( p3(X0)
                                | ~ r1(X1,X0) )
                            & p3(X1) )
                        | p4(X1)
                        | ! [X0] :
                            ( p3(X0)
                            | ~ ( ! [X1] :
                                    ( p4(X1)
                                    | ~ r1(X0,X1) )
                                & p4(X0) )
                            | ~ r1(X1,X0) )
                        | ~ r1(X0,X1) ) )
                | ! [X1] :
                    ( ~ ( p3(X1)
                        & ! [X0] :
                            ( p3(X0)
                            | ~ r1(X1,X0) )
                        & p3(X1) )
                    | p4(X1)
                    | ~ r1(X0,X1) )
                | ! [X1] :
                    ( p3(X1)
                    | ~ ( ! [X0] :
                            ( p4(X0)
                            | ~ r1(X1,X0) )
                        & p4(X1) )
                    | ~ r1(X0,X1) ) )
            | ~ ( ~ ( ! [X1] :
                        ( ~ ( p4(X1)
                            & ! [X0] :
                                ( p4(X0)
                                | ~ r1(X1,X0) )
                            & p4(X1) )
                        | p5(X1)
                        | p4(X1)
                        | ~ ( ! [X0] :
                                ( p5(X0)
                                | ~ r1(X1,X0) )
                            & p5(X1) )
                        | ~ r1(X0,X1) )
                    & ! [X1] :
                        ( ! [X0] :
                            ( ~ ( p4(X0)
                                & ! [X1] :
                                    ( p4(X1)
                                    | ~ r1(X0,X1) )
                                & p4(X0) )
                            | p5(X0)
                            | ~ r1(X1,X0) )
                        | p4(X1)
                        | ~ ( ! [X0] :
                                ( p5(X0)
                                | ~ r1(X1,X0) )
                            & p5(X1) )
                        | ~ r1(X0,X1) )
                    & ! [X1] :
                        ( ~ ( p4(X1)
                            & ! [X0] :
                                ( p4(X0)
                                | ~ r1(X1,X0) )
                            & p4(X1) )
                        | p5(X1)
                        | ! [X0] :
                            ( p4(X0)
                            | ~ ( ! [X1] :
                                    ( p5(X1)
                                    | ~ r1(X0,X1) )
                                & p5(X0) )
                            | ~ r1(X1,X0) )
                        | ~ r1(X0,X1) ) )
                | ! [X1] :
                    ( ~ ( p4(X1)
                        & ! [X0] :
                            ( p4(X0)
                            | ~ r1(X1,X0) )
                        & p4(X1) )
                    | p5(X1)
                    | ~ r1(X0,X1) )
                | ! [X1] :
                    ( p4(X1)
                    | ~ ( ! [X0] :
                            ( p5(X0)
                            | ~ r1(X1,X0) )
                        & p5(X1) )
                    | ~ r1(X0,X1) ) )
            | ~ ( ~ ( ! [X1] :
                        ( ~ ( p5(X1)
                            & ! [X0] :
                                ( p5(X0)
                                | ~ r1(X1,X0) )
                            & p5(X1) )
                        | p6(X1)
                        | p5(X1)
                        | ~ ( ! [X0] :
                                ( p6(X0)
                                | ~ r1(X1,X0) )
                            & p6(X1) )
                        | ~ r1(X0,X1) )
                    & ! [X1] :
                        ( ! [X0] :
                            ( ~ ( p5(X0)
                                & ! [X1] :
                                    ( p5(X1)
                                    | ~ r1(X0,X1) )
                                & p5(X0) )
                            | p6(X0)
                            | ~ r1(X1,X0) )
                        | p5(X1)
                        | ~ ( ! [X0] :
                                ( p6(X0)
                                | ~ r1(X1,X0) )
                            & p6(X1) )
                        | ~ r1(X0,X1) )
                    & ! [X1] :
                        ( ~ ( p5(X1)
                            & ! [X0] :
                                ( p5(X0)
                                | ~ r1(X1,X0) )
                            & p5(X1) )
                        | p6(X1)
                        | ! [X0] :
                            ( p5(X0)
                            | ~ ( ! [X1] :
                                    ( p6(X1)
                                    | ~ r1(X0,X1) )
                                & p6(X0) )
                            | ~ r1(X1,X0) )
                        | ~ r1(X0,X1) ) )
                | ! [X1] :
                    ( ~ ( p5(X1)
                        & ! [X0] :
                            ( p5(X0)
                            | ~ r1(X1,X0) )
                        & p5(X1) )
                    | p6(X1)
                    | ~ r1(X0,X1) )
                | ! [X1] :
                    ( p5(X1)
                    | ~ ( ! [X0] :
                            ( p6(X0)
                            | ~ r1(X1,X0) )
                        & p6(X1) )
                    | ~ r1(X0,X1) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ? [X0] :
        ~ ( ~ ( ~ ( ! [X1] :
                      ( ~ ( p1(X1)
                          & ! [X0] :
                              ( p1(X0)
                              | ~ r1(X1,X0) )
                          & p1(X1) )
                      | p2(X1)
                      | p1(X1)
                      | ~ ( ! [X0] :
                              ( p2(X0)
                              | ~ r1(X1,X0) )
                          & p2(X1) )
                      | ~ r1(X0,X1) )
                  & ! [X1] :
                      ( ! [X0] :
                          ( ~ ( p1(X0)
                              & ! [X1] :
                                  ( p1(X1)
                                  | ~ r1(X0,X1) )
                              & p1(X0) )
                          | p2(X0)
                          | ~ r1(X1,X0) )
                      | p1(X1)
                      | ~ ( ! [X0] :
                              ( p2(X0)
                              | ~ r1(X1,X0) )
                          & p2(X1) )
                      | ~ r1(X0,X1) )
                  & ! [X1] :
                      ( ~ ( p1(X1)
                          & ! [X0] :
                              ( p1(X0)
                              | ~ r1(X1,X0) )
                          & p1(X1) )
                      | p2(X1)
                      | ! [X0] :
                          ( p1(X0)
                          | ~ ( ! [X1] :
                                  ( p2(X1)
                                  | ~ r1(X0,X1) )
                              & p2(X0) )
                          | ~ r1(X1,X0) )
                      | ~ r1(X0,X1) ) )
              | ! [X1] :
                  ( ~ ( p1(X1)
                      & ! [X0] :
                          ( p1(X0)
                          | ~ r1(X1,X0) )
                      & p1(X1) )
                  | p2(X1)
                  | ~ r1(X0,X1) )
              | ! [X1] :
                  ( p1(X1)
                  | ~ ( ! [X0] :
                          ( p2(X0)
                          | ~ r1(X1,X0) )
                      & p2(X1) )
                  | ~ r1(X0,X1) ) )
          | ! [X1] :
              ( ~ ( p5(X1)
                  & ! [X0] :
                      ( p5(X0)
                      | ~ r1(X1,X0) ) )
              | p5(X1)
              | ~ r1(X0,X1) )
          | ! [X1] :
              ( ~ ( p5(X1)
                  & ! [X0] :
                      ( p5(X0)
                      | ~ r1(X1,X0) ) )
              | p5(X1)
              | ~ r1(X0,X1) )
          | ~ ( ~ ( ! [X1] :
                      ( ~ ( p2(X1)
                          & ! [X0] :
                              ( p2(X0)
                              | ~ r1(X1,X0) )
                          & p2(X1) )
                      | p3(X1)
                      | p2(X1)
                      | ~ ( ! [X0] :
                              ( p3(X0)
                              | ~ r1(X1,X0) )
                          & p3(X1) )
                      | ~ r1(X0,X1) )
                  & ! [X1] :
                      ( ! [X0] :
                          ( ~ ( p2(X0)
                              & ! [X1] :
                                  ( p2(X1)
                                  | ~ r1(X0,X1) )
                              & p2(X0) )
                          | p3(X0)
                          | ~ r1(X1,X0) )
                      | p2(X1)
                      | ~ ( ! [X0] :
                              ( p3(X0)
                              | ~ r1(X1,X0) )
                          & p3(X1) )
                      | ~ r1(X0,X1) )
                  & ! [X1] :
                      ( ~ ( p2(X1)
                          & ! [X0] :
                              ( p2(X0)
                              | ~ r1(X1,X0) )
                          & p2(X1) )
                      | p3(X1)
                      | ! [X0] :
                          ( p2(X0)
                          | ~ ( ! [X1] :
                                  ( p3(X1)
                                  | ~ r1(X0,X1) )
                              & p3(X0) )
                          | ~ r1(X1,X0) )
                      | ~ r1(X0,X1) ) )
              | ! [X1] :
                  ( ~ ( p2(X1)
                      & ! [X0] :
                          ( p2(X0)
                          | ~ r1(X1,X0) )
                      & p2(X1) )
                  | p3(X1)
                  | ~ r1(X0,X1) )
              | ! [X1] :
                  ( p2(X1)
                  | ~ ( ! [X0] :
                          ( p3(X0)
                          | ~ r1(X1,X0) )
                      & p3(X1) )
                  | ~ r1(X0,X1) ) )
          | ~ ( ~ ( ! [X1] :
                      ( ~ ( p3(X1)
                          & ! [X0] :
                              ( p3(X0)
                              | ~ r1(X1,X0) )
                          & p3(X1) )
                      | p4(X1)
                      | p3(X1)
                      | ~ ( ! [X0] :
                              ( p4(X0)
                              | ~ r1(X1,X0) )
                          & p4(X1) )
                      | ~ r1(X0,X1) )
                  & ! [X1] :
                      ( ! [X0] :
                          ( ~ ( p3(X0)
                              & ! [X1] :
                                  ( p3(X1)
                                  | ~ r1(X0,X1) )
                              & p3(X0) )
                          | p4(X0)
                          | ~ r1(X1,X0) )
                      | p3(X1)
                      | ~ ( ! [X0] :
                              ( p4(X0)
                              | ~ r1(X1,X0) )
                          & p4(X1) )
                      | ~ r1(X0,X1) )
                  & ! [X1] :
                      ( ~ ( p3(X1)
                          & ! [X0] :
                              ( p3(X0)
                              | ~ r1(X1,X0) )
                          & p3(X1) )
                      | p4(X1)
                      | ! [X0] :
                          ( p3(X0)
                          | ~ ( ! [X1] :
                                  ( p4(X1)
                                  | ~ r1(X0,X1) )
                              & p4(X0) )
                          | ~ r1(X1,X0) )
                      | ~ r1(X0,X1) ) )
              | ! [X1] :
                  ( ~ ( p3(X1)
                      & ! [X0] :
                          ( p3(X0)
                          | ~ r1(X1,X0) )
                      & p3(X1) )
                  | p4(X1)
                  | ~ r1(X0,X1) )
              | ! [X1] :
                  ( p3(X1)
                  | ~ ( ! [X0] :
                          ( p4(X0)
                          | ~ r1(X1,X0) )
                      & p4(X1) )
                  | ~ r1(X0,X1) ) )
          | ~ ( ~ ( ! [X1] :
                      ( ~ ( p4(X1)
                          & ! [X0] :
                              ( p4(X0)
                              | ~ r1(X1,X0) )
                          & p4(X1) )
                      | p5(X1)
                      | p4(X1)
                      | ~ ( ! [X0] :
                              ( p5(X0)
                              | ~ r1(X1,X0) )
                          & p5(X1) )
                      | ~ r1(X0,X1) )
                  & ! [X1] :
                      ( ! [X0] :
                          ( ~ ( p4(X0)
                              & ! [X1] :
                                  ( p4(X1)
                                  | ~ r1(X0,X1) )
                              & p4(X0) )
                          | p5(X0)
                          | ~ r1(X1,X0) )
                      | p4(X1)
                      | ~ ( ! [X0] :
                              ( p5(X0)
                              | ~ r1(X1,X0) )
                          & p5(X1) )
                      | ~ r1(X0,X1) )
                  & ! [X1] :
                      ( ~ ( p4(X1)
                          & ! [X0] :
                              ( p4(X0)
                              | ~ r1(X1,X0) )
                          & p4(X1) )
                      | p5(X1)
                      | ! [X0] :
                          ( p4(X0)
                          | ~ ( ! [X1] :
                                  ( p5(X1)
                                  | ~ r1(X0,X1) )
                              & p5(X0) )
                          | ~ r1(X1,X0) )
                      | ~ r1(X0,X1) ) )
              | ! [X1] :
                  ( ~ ( p4(X1)
                      & ! [X0] :
                          ( p4(X0)
                          | ~ r1(X1,X0) )
                      & p4(X1) )
                  | p5(X1)
                  | ~ r1(X0,X1) )
              | ! [X1] :
                  ( p4(X1)
                  | ~ ( ! [X0] :
                          ( p5(X0)
                          | ~ r1(X1,X0) )
                      & p5(X1) )
                  | ~ r1(X0,X1) ) )
          | ~ ( ~ ( ! [X1] :
                      ( ~ ( p5(X1)
                          & ! [X0] :
                              ( p5(X0)
                              | ~ r1(X1,X0) )
                          & p5(X1) )
                      | p6(X1)
                      | p5(X1)
                      | ~ ( ! [X0] :
                              ( p6(X0)
                              | ~ r1(X1,X0) )
                          & p6(X1) )
                      | ~ r1(X0,X1) )
                  & ! [X1] :
                      ( ! [X0] :
                          ( ~ ( p5(X0)
                              & ! [X1] :
                                  ( p5(X1)
                                  | ~ r1(X0,X1) )
                              & p5(X0) )
                          | p6(X0)
                          | ~ r1(X1,X0) )
                      | p5(X1)
                      | ~ ( ! [X0] :
                              ( p6(X0)
                              | ~ r1(X1,X0) )
                          & p6(X1) )
                      | ~ r1(X0,X1) )
                  & ! [X1] :
                      ( ~ ( p5(X1)
                          & ! [X0] :
                              ( p5(X0)
                              | ~ r1(X1,X0) )
                          & p5(X1) )
                      | p6(X1)
                      | ! [X0] :
                          ( p5(X0)
                          | ~ ( ! [X1] :
                                  ( p6(X1)
                                  | ~ r1(X0,X1) )
                              & p6(X0) )
                          | ~ r1(X1,X0) )
                      | ~ r1(X0,X1) ) )
              | ! [X1] :
                  ( ~ ( p5(X1)
                      & ! [X0] :
                          ( p5(X0)
                          | ~ r1(X1,X0) )
                      & p5(X1) )
                  | p6(X1)
                  | ~ r1(X0,X1) )
              | ! [X1] :
                  ( p5(X1)
                  | ~ ( ! [X0] :
                          ( p6(X0)
                          | ~ r1(X1,X0) )
                      & p6(X1) )
                  | ~ r1(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

fof(f328,plain,
    p5(sK63),
    inference(cnf_transformation,[],[f166]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL644+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Apr 29 22:45:13 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (15868)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (15872)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39  % (15873)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39  % (15871)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)
% 0.15/0.39  % (15870)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39  % (15874)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39  % (15875)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)
% 0.15/0.39  % (15869)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39  % (15873)First to succeed.
% 0.15/0.39  % (15874)Also succeeded, but the first one will report.
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  % (15873)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Theorem for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (15873)------------------------------
% 0.15/0.39  % (15873)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39  % (15873)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (15873)Memory used [KB]: 1002
% 0.15/0.39  % (15873)Time elapsed: 0.009 s
% 0.15/0.39  % (15873)Instructions burned: 16 (million)
% 0.15/0.39  % (15873)------------------------------
% 0.15/0.39  % (15873)------------------------------
% 0.15/0.39  % (15868)Success in time 0.026 s
%------------------------------------------------------------------------------