TSTP Solution File: LCL674+1.020 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL674+1.020 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.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 May 21 00:32:25 EDT 2024

% Result   : Theorem 5.48s 1.08s
% Output   : Refutation 5.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   66
%            Number of leaves      :   93
% Syntax   : Number of formulae    :  250 (  53 unt;   0 def)
%            Number of atoms       : 4253 (   0 equ)
%            Maximal formula atoms :  436 (  17 avg)
%            Number of connectives : 7028 (3025   ~;2059   |;1935   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   81 (   8 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   :  893 ( 742   !; 151   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79902,plain,
    $false,
    inference(subsumption_resolution,[],[f79858,f35058]) ).

fof(f35058,plain,
    ~ p8(sK95(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))),
    inference(resolution,[],[f35037,f538]) ).

fof(f538,plain,
    ! [X0] :
      ( ~ sP26(X0)
      | ~ p8(sK95(X0)) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,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])],[f232,f233]) ).

fof(f233,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(f232,plain,
    ! [X0] :
      ( ? [X1] :
          ( p107(X1)
          & ~ p108(X1)
          & ~ p8(X1)
          & r1(X0,X1) )
      | ~ sP26(X0) ),
    inference(rectify,[],[f231]) ).

fof(f231,plain,
    ! [X1] :
      ( ? [X57] :
          ( p107(X57)
          & ~ p108(X57)
          & ~ p8(X57)
          & r1(X1,X57) )
      | ~ sP26(X1) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X1] :
      ( ? [X57] :
          ( p107(X57)
          & ~ p108(X57)
          & ~ p8(X57)
          & r1(X1,X57) )
      | ~ sP26(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

fof(f35037,plain,
    sP26(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(subsumption_resolution,[],[f35036,f15368]) ).

fof(f15368,plain,
    p106(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(resolution,[],[f15353,f528]) ).

fof(f528,plain,
    ! [X0] :
      ( ~ sP29(X0)
      | p106(sK92(X0)) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,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])],[f220,f221]) ).

fof(f221,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(f220,plain,
    ! [X0] :
      ( ? [X1] :
          ( p106(X1)
          & ~ p107(X1)
          & p7(X1)
          & r1(X0,X1) )
      | ~ sP29(X0) ),
    inference(rectify,[],[f219]) ).

fof(f219,plain,
    ! [X1] :
      ( ? [X54] :
          ( p106(X54)
          & ~ p107(X54)
          & p7(X54)
          & r1(X1,X54) )
      | ~ sP29(X1) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X1] :
      ( ? [X54] :
          ( p106(X54)
          & ~ p107(X54)
          & p7(X54)
          & r1(X1,X54) )
      | ~ sP29(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).

fof(f15353,plain,
    sP29(sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(subsumption_resolution,[],[f15352,f6858]) ).

fof(f6858,plain,
    p105(sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(resolution,[],[f6845,f520]) ).

fof(f520,plain,
    ! [X0] :
      ( ~ sP31(X0)
      | p105(sK90(X0)) ),
    inference(cnf_transformation,[],[f214]) ).

fof(f214,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])],[f212,f213]) ).

fof(f213,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(f212,plain,
    ! [X0] :
      ( ? [X1] :
          ( p105(X1)
          & ~ p106(X1)
          & p6(X1)
          & r1(X0,X1) )
      | ~ sP31(X0) ),
    inference(rectify,[],[f211]) ).

fof(f211,plain,
    ! [X1] :
      ( ? [X52] :
          ( p105(X52)
          & ~ p106(X52)
          & p6(X52)
          & r1(X1,X52) )
      | ~ sP31(X1) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X1] :
      ( ? [X52] :
          ( p105(X52)
          & ~ p106(X52)
          & p6(X52)
          & r1(X1,X52) )
      | ~ sP31(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

fof(f6845,plain,
    sP31(sK88(sK86(sK84(sK82(sK122))))),
    inference(subsumption_resolution,[],[f6844,f2392]) ).

fof(f2392,plain,
    p104(sK88(sK86(sK84(sK82(sK122))))),
    inference(resolution,[],[f2341,f512]) ).

fof(f512,plain,
    ! [X0] :
      ( ~ sP33(X0)
      | p104(sK88(X0)) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,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])],[f204,f205]) ).

fof(f205,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(f204,plain,
    ! [X0] :
      ( ? [X1] :
          ( p104(X1)
          & ~ p105(X1)
          & p5(X1)
          & r1(X0,X1) )
      | ~ sP33(X0) ),
    inference(rectify,[],[f203]) ).

fof(f203,plain,
    ! [X1] :
      ( ? [X50] :
          ( p104(X50)
          & ~ p105(X50)
          & p5(X50)
          & r1(X1,X50) )
      | ~ sP33(X1) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X1] :
      ( ? [X50] :
          ( p104(X50)
          & ~ p105(X50)
          & p5(X50)
          & r1(X1,X50) )
      | ~ sP33(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).

fof(f2341,plain,
    sP33(sK86(sK84(sK82(sK122)))),
    inference(subsumption_resolution,[],[f2340,f1173]) ).

fof(f1173,plain,
    p103(sK86(sK84(sK82(sK122)))),
    inference(resolution,[],[f1140,f504]) ).

fof(f504,plain,
    ! [X0] :
      ( ~ sP35(X0)
      | p103(sK86(X0)) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,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])],[f196,f197]) ).

fof(f197,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(f196,plain,
    ! [X0] :
      ( ? [X1] :
          ( p103(X1)
          & ~ p104(X1)
          & p4(X1)
          & r1(X0,X1) )
      | ~ sP35(X0) ),
    inference(rectify,[],[f195]) ).

fof(f195,plain,
    ! [X1] :
      ( ? [X48] :
          ( p103(X48)
          & ~ p104(X48)
          & p4(X48)
          & r1(X1,X48) )
      | ~ sP35(X1) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X1] :
      ( ? [X48] :
          ( p103(X48)
          & ~ p104(X48)
          & p4(X48)
          & r1(X1,X48) )
      | ~ sP35(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).

fof(f1140,plain,
    sP35(sK84(sK82(sK122))),
    inference(subsumption_resolution,[],[f1139,f890]) ).

fof(f890,plain,
    p102(sK84(sK82(sK122))),
    inference(resolution,[],[f881,f496]) ).

fof(f496,plain,
    ! [X0] :
      ( ~ sP37(X0)
      | p102(sK84(X0)) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,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])],[f188,f189]) ).

fof(f189,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(f188,plain,
    ! [X0] :
      ( ? [X1] :
          ( p102(X1)
          & ~ p103(X1)
          & p3(X1)
          & r1(X0,X1) )
      | ~ sP37(X0) ),
    inference(rectify,[],[f187]) ).

fof(f187,plain,
    ! [X1] :
      ( ? [X46] :
          ( p102(X46)
          & ~ p103(X46)
          & p3(X46)
          & r1(X1,X46) )
      | ~ sP37(X1) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X1] :
      ( ? [X46] :
          ( p102(X46)
          & ~ p103(X46)
          & p3(X46)
          & r1(X1,X46) )
      | ~ sP37(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).

fof(f881,plain,
    sP37(sK82(sK122)),
    inference(subsumption_resolution,[],[f880,f789]) ).

fof(f789,plain,
    p101(sK82(sK122)),
    inference(resolution,[],[f787,f488]) ).

fof(f488,plain,
    ! [X0] :
      ( ~ sP39(X0)
      | p101(sK82(X0)) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,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])],[f180,f181]) ).

fof(f181,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(f180,plain,
    ! [X0] :
      ( ? [X1] :
          ( p101(X1)
          & ~ p102(X1)
          & p2(X1)
          & r1(X0,X1) )
      | ~ sP39(X0) ),
    inference(rectify,[],[f179]) ).

fof(f179,plain,
    ! [X1] :
      ( ? [X44] :
          ( p101(X44)
          & ~ p102(X44)
          & p2(X44)
          & r1(X1,X44) )
      | ~ sP39(X1) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X1] :
      ( ? [X44] :
          ( p101(X44)
          & ~ p102(X44)
          & p2(X44)
          & r1(X1,X44) )
      | ~ sP39(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).

fof(f787,plain,
    sP39(sK122),
    inference(subsumption_resolution,[],[f786,f646]) ).

fof(f646,plain,
    p100(sK122),
    inference(cnf_transformation,[],[f341]) ).

fof(f341,plain,
    ( p100(sK122)
    & ~ p101(sK122)
    & ! [X1] :
        ( sP81(X1)
        | ~ r1(sK122,X1) )
    & ! [X2] :
        ( p8(X2)
        | ~ r1(sK122,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK122])],[f339,f340]) ).

fof(f340,plain,
    ( ? [X0] :
        ( p100(X0)
        & ~ p101(X0)
        & ! [X1] :
            ( sP81(X1)
            | ~ r1(X0,X1) )
        & ! [X2] :
            ( p8(X2)
            | ~ r1(X0,X2) ) )
   => ( p100(sK122)
      & ~ p101(sK122)
      & ! [X1] :
          ( sP81(X1)
          | ~ r1(sK122,X1) )
      & ! [X2] :
          ( p8(X2)
          | ~ r1(sK122,X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f339,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( sP81(X1)
          | ~ r1(X0,X1) )
      & ! [X2] :
          ( p8(X2)
          | ~ r1(X0,X2) ) ),
    inference(rectify,[],[f94]) ).

fof(f94,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( sP81(X1)
          | ~ r1(X0,X1) )
      & ! [X84] :
          ( p8(X84)
          | ~ r1(X0,X84) ) ),
    inference(definition_folding,[],[f9,f93,f92,f91,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]) ).

fof(f12,plain,
    ! [X1] :
      ( ? [X83] :
          ( p120(X83)
          & ~ p21(X83)
          & r1(X1,X83) )
      | ~ sP0(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f13,plain,
    ! [X1] :
      ( ? [X82] :
          ( p120(X82)
          & p21(X82)
          & r1(X1,X82) )
      | ~ sP1(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f14,plain,
    ! [X1] :
      ( ? [X81] :
          ( p119(X81)
          & ~ p120(X81)
          & ~ p20(X81)
          & r1(X1,X81) )
      | ~ sP2(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f15,plain,
    ! [X1] :
      ( ? [X80] :
          ( p119(X80)
          & ~ p120(X80)
          & p20(X80)
          & r1(X1,X80) )
      | ~ sP3(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f16,plain,
    ! [X1] :
      ( ? [X79] :
          ( p118(X79)
          & ~ p119(X79)
          & ~ p19(X79)
          & r1(X1,X79) )
      | ~ sP4(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f17,plain,
    ! [X1] :
      ( ? [X78] :
          ( p118(X78)
          & ~ p119(X78)
          & p19(X78)
          & r1(X1,X78) )
      | ~ sP5(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f18,plain,
    ! [X1] :
      ( ? [X77] :
          ( p117(X77)
          & ~ p118(X77)
          & ~ p18(X77)
          & r1(X1,X77) )
      | ~ sP6(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f19,plain,
    ! [X1] :
      ( ? [X76] :
          ( p117(X76)
          & ~ p118(X76)
          & p18(X76)
          & r1(X1,X76) )
      | ~ sP7(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f20,plain,
    ! [X1] :
      ( ? [X75] :
          ( p116(X75)
          & ~ p117(X75)
          & ~ p17(X75)
          & r1(X1,X75) )
      | ~ sP8(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f21,plain,
    ! [X1] :
      ( ? [X74] :
          ( p116(X74)
          & ~ p117(X74)
          & p17(X74)
          & r1(X1,X74) )
      | ~ sP9(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f22,plain,
    ! [X1] :
      ( ? [X73] :
          ( p115(X73)
          & ~ p116(X73)
          & ~ p16(X73)
          & r1(X1,X73) )
      | ~ sP10(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f23,plain,
    ! [X1] :
      ( ? [X72] :
          ( p115(X72)
          & ~ p116(X72)
          & p16(X72)
          & r1(X1,X72) )
      | ~ sP11(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f24,plain,
    ! [X1] :
      ( ? [X71] :
          ( p114(X71)
          & ~ p115(X71)
          & ~ p15(X71)
          & r1(X1,X71) )
      | ~ sP12(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f25,plain,
    ! [X1] :
      ( ? [X70] :
          ( p114(X70)
          & ~ p115(X70)
          & p15(X70)
          & r1(X1,X70) )
      | ~ sP13(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f26,plain,
    ! [X1] :
      ( ? [X69] :
          ( p113(X69)
          & ~ p114(X69)
          & ~ p14(X69)
          & r1(X1,X69) )
      | ~ sP14(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f27,plain,
    ! [X1] :
      ( ? [X68] :
          ( p113(X68)
          & ~ p114(X68)
          & p14(X68)
          & r1(X1,X68) )
      | ~ sP15(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f28,plain,
    ! [X1] :
      ( ? [X67] :
          ( p112(X67)
          & ~ p113(X67)
          & ~ p13(X67)
          & r1(X1,X67) )
      | ~ sP16(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f29,plain,
    ! [X1] :
      ( ? [X66] :
          ( p112(X66)
          & ~ p113(X66)
          & p13(X66)
          & r1(X1,X66) )
      | ~ sP17(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f30,plain,
    ! [X1] :
      ( ? [X65] :
          ( p111(X65)
          & ~ p112(X65)
          & ~ p12(X65)
          & r1(X1,X65) )
      | ~ sP18(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f31,plain,
    ! [X1] :
      ( ? [X64] :
          ( p111(X64)
          & ~ p112(X64)
          & p12(X64)
          & r1(X1,X64) )
      | ~ sP19(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f32,plain,
    ! [X1] :
      ( ? [X63] :
          ( p110(X63)
          & ~ p111(X63)
          & ~ p11(X63)
          & r1(X1,X63) )
      | ~ sP20(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f33,plain,
    ! [X1] :
      ( ? [X62] :
          ( p110(X62)
          & ~ p111(X62)
          & p11(X62)
          & r1(X1,X62) )
      | ~ sP21(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f34,plain,
    ! [X1] :
      ( ? [X61] :
          ( p109(X61)
          & ~ p110(X61)
          & ~ p10(X61)
          & r1(X1,X61) )
      | ~ sP22(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f35,plain,
    ! [X1] :
      ( ? [X60] :
          ( p109(X60)
          & ~ p110(X60)
          & p10(X60)
          & r1(X1,X60) )
      | ~ sP23(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f36,plain,
    ! [X1] :
      ( ? [X59] :
          ( p108(X59)
          & ~ p109(X59)
          & ~ p9(X59)
          & r1(X1,X59) )
      | ~ sP24(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).

fof(f37,plain,
    ! [X1] :
      ( ? [X58] :
          ( p108(X58)
          & ~ p109(X58)
          & p9(X58)
          & r1(X1,X58) )
      | ~ sP25(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).

fof(f39,plain,
    ! [X1] :
      ( ? [X56] :
          ( p107(X56)
          & ~ p108(X56)
          & p8(X56)
          & r1(X1,X56) )
      | ~ sP27(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).

fof(f40,plain,
    ! [X1] :
      ( ? [X55] :
          ( p106(X55)
          & ~ p107(X55)
          & ~ p7(X55)
          & r1(X1,X55) )
      | ~ sP28(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).

fof(f42,plain,
    ! [X1] :
      ( ? [X53] :
          ( p105(X53)
          & ~ p106(X53)
          & ~ p6(X53)
          & r1(X1,X53) )
      | ~ sP30(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).

fof(f44,plain,
    ! [X1] :
      ( ? [X51] :
          ( p104(X51)
          & ~ p105(X51)
          & ~ p5(X51)
          & r1(X1,X51) )
      | ~ sP32(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).

fof(f46,plain,
    ! [X1] :
      ( ? [X49] :
          ( p103(X49)
          & ~ p104(X49)
          & ~ p4(X49)
          & r1(X1,X49) )
      | ~ sP34(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).

fof(f48,plain,
    ! [X1] :
      ( ? [X47] :
          ( p102(X47)
          & ~ p103(X47)
          & ~ p3(X47)
          & r1(X1,X47) )
      | ~ sP36(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).

fof(f50,plain,
    ! [X1] :
      ( ? [X45] :
          ( p101(X45)
          & ~ p102(X45)
          & ~ p2(X45)
          & r1(X1,X45) )
      | ~ sP38(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).

fof(f52,plain,
    ! [X1] :
      ( ~ p119(X1)
      | p120(X1)
      | ( sP1(X1)
        & sP0(X1) )
      | ~ sP40(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f53,plain,
    ! [X1] :
      ( ~ p118(X1)
      | p119(X1)
      | ( sP3(X1)
        & sP2(X1) )
      | ~ sP41(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).

fof(f54,plain,
    ! [X1] :
      ( ~ p117(X1)
      | p118(X1)
      | ( sP5(X1)
        & sP4(X1) )
      | ~ sP42(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).

fof(f55,plain,
    ! [X1] :
      ( ~ p116(X1)
      | p117(X1)
      | ( sP7(X1)
        & sP6(X1) )
      | ~ sP43(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).

fof(f56,plain,
    ! [X1] :
      ( ~ p115(X1)
      | p116(X1)
      | ( sP9(X1)
        & sP8(X1) )
      | ~ sP44(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).

fof(f57,plain,
    ! [X1] :
      ( ~ p114(X1)
      | p115(X1)
      | ( sP11(X1)
        & sP10(X1) )
      | ~ sP45(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).

fof(f58,plain,
    ! [X1] :
      ( ~ p113(X1)
      | p114(X1)
      | ( sP13(X1)
        & sP12(X1) )
      | ~ sP46(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).

fof(f59,plain,
    ! [X1] :
      ( ~ p112(X1)
      | p113(X1)
      | ( sP15(X1)
        & sP14(X1) )
      | ~ sP47(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).

fof(f60,plain,
    ! [X1] :
      ( ~ p111(X1)
      | p112(X1)
      | ( sP17(X1)
        & sP16(X1) )
      | ~ sP48(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).

fof(f61,plain,
    ! [X1] :
      ( ~ p110(X1)
      | p111(X1)
      | ( sP19(X1)
        & sP18(X1) )
      | ~ sP49(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).

fof(f62,plain,
    ! [X1] :
      ( ~ p109(X1)
      | p110(X1)
      | ( sP21(X1)
        & sP20(X1) )
      | ~ sP50(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).

fof(f63,plain,
    ! [X1] :
      ( ~ p108(X1)
      | p109(X1)
      | ( sP23(X1)
        & sP22(X1) )
      | ~ sP51(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).

fof(f64,plain,
    ! [X1] :
      ( ~ p107(X1)
      | p108(X1)
      | ( sP25(X1)
        & sP24(X1) )
      | ~ sP52(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).

fof(f65,plain,
    ! [X1] :
      ( ~ p106(X1)
      | p107(X1)
      | ( sP27(X1)
        & sP26(X1) )
      | ~ sP53(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).

fof(f66,plain,
    ! [X1] :
      ( ~ p105(X1)
      | p106(X1)
      | ( sP29(X1)
        & sP28(X1) )
      | ~ sP54(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).

fof(f67,plain,
    ! [X1] :
      ( ~ p104(X1)
      | p105(X1)
      | ( sP31(X1)
        & sP30(X1) )
      | ~ sP55(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).

fof(f68,plain,
    ! [X1] :
      ( ~ p103(X1)
      | p104(X1)
      | ( sP33(X1)
        & sP32(X1) )
      | ~ sP56(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).

fof(f69,plain,
    ! [X1] :
      ( ~ p102(X1)
      | p103(X1)
      | ( sP35(X1)
        & sP34(X1) )
      | ~ sP57(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).

fof(f70,plain,
    ! [X1] :
      ( ~ p101(X1)
      | p102(X1)
      | ( sP37(X1)
        & sP36(X1) )
      | ~ sP58(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).

fof(f71,plain,
    ! [X1] :
      ( ~ p100(X1)
      | p101(X1)
      | ( sP39(X1)
        & sP38(X1) )
      | ~ sP59(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).

fof(f72,plain,
    ! [X1] :
      ( ~ p120(X1)
      | ( ( ~ p21(X1)
          | ! [X42] :
              ( ~ p120(X42)
              | p21(X42)
              | ~ r1(X1,X42) ) )
        & ( p21(X1)
          | ! [X43] :
              ( ~ p120(X43)
              | ~ p21(X43)
              | ~ r1(X1,X43) ) ) )
      | ~ sP60(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).

fof(f73,plain,
    ! [X1] :
      ( ~ p119(X1)
      | ( ( ~ p20(X1)
          | ! [X40] :
              ( ~ p119(X40)
              | p20(X40)
              | ~ r1(X1,X40) ) )
        & ( p20(X1)
          | ! [X41] :
              ( ~ p119(X41)
              | ~ p20(X41)
              | ~ r1(X1,X41) ) ) )
      | ~ sP61(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).

fof(f74,plain,
    ! [X1] :
      ( ~ p118(X1)
      | ( ( ~ p19(X1)
          | ! [X38] :
              ( ~ p118(X38)
              | p19(X38)
              | ~ r1(X1,X38) ) )
        & ( p19(X1)
          | ! [X39] :
              ( ~ p118(X39)
              | ~ p19(X39)
              | ~ r1(X1,X39) ) ) )
      | ~ sP62(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).

fof(f75,plain,
    ! [X1] :
      ( ~ p117(X1)
      | ( ( ~ p18(X1)
          | ! [X36] :
              ( ~ p117(X36)
              | p18(X36)
              | ~ r1(X1,X36) ) )
        & ( p18(X1)
          | ! [X37] :
              ( ~ p117(X37)
              | ~ p18(X37)
              | ~ r1(X1,X37) ) ) )
      | ~ sP63(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).

fof(f76,plain,
    ! [X1] :
      ( ~ p116(X1)
      | ( ( ~ p17(X1)
          | ! [X34] :
              ( ~ p116(X34)
              | p17(X34)
              | ~ r1(X1,X34) ) )
        & ( p17(X1)
          | ! [X35] :
              ( ~ p116(X35)
              | ~ p17(X35)
              | ~ r1(X1,X35) ) ) )
      | ~ sP64(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).

fof(f77,plain,
    ! [X1] :
      ( ~ p115(X1)
      | ( ( ~ p16(X1)
          | ! [X32] :
              ( ~ p115(X32)
              | p16(X32)
              | ~ r1(X1,X32) ) )
        & ( p16(X1)
          | ! [X33] :
              ( ~ p115(X33)
              | ~ p16(X33)
              | ~ r1(X1,X33) ) ) )
      | ~ sP65(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).

fof(f78,plain,
    ! [X1] :
      ( ~ p114(X1)
      | ( ( ~ p15(X1)
          | ! [X30] :
              ( ~ p114(X30)
              | p15(X30)
              | ~ r1(X1,X30) ) )
        & ( p15(X1)
          | ! [X31] :
              ( ~ p114(X31)
              | ~ p15(X31)
              | ~ r1(X1,X31) ) ) )
      | ~ sP66(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).

fof(f79,plain,
    ! [X1] :
      ( ~ p113(X1)
      | ( ( ~ p14(X1)
          | ! [X28] :
              ( ~ p113(X28)
              | p14(X28)
              | ~ r1(X1,X28) ) )
        & ( p14(X1)
          | ! [X29] :
              ( ~ p113(X29)
              | ~ p14(X29)
              | ~ r1(X1,X29) ) ) )
      | ~ sP67(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).

fof(f80,plain,
    ! [X1] :
      ( ~ p112(X1)
      | ( ( ~ p13(X1)
          | ! [X26] :
              ( ~ p112(X26)
              | p13(X26)
              | ~ r1(X1,X26) ) )
        & ( p13(X1)
          | ! [X27] :
              ( ~ p112(X27)
              | ~ p13(X27)
              | ~ r1(X1,X27) ) ) )
      | ~ sP68(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).

fof(f81,plain,
    ! [X1] :
      ( ~ p111(X1)
      | ( ( ~ p12(X1)
          | ! [X24] :
              ( ~ p111(X24)
              | p12(X24)
              | ~ r1(X1,X24) ) )
        & ( p12(X1)
          | ! [X25] :
              ( ~ p111(X25)
              | ~ p12(X25)
              | ~ r1(X1,X25) ) ) )
      | ~ sP69(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).

fof(f82,plain,
    ! [X1] :
      ( ~ p110(X1)
      | ( ( ~ p11(X1)
          | ! [X22] :
              ( ~ p110(X22)
              | p11(X22)
              | ~ r1(X1,X22) ) )
        & ( p11(X1)
          | ! [X23] :
              ( ~ p110(X23)
              | ~ p11(X23)
              | ~ r1(X1,X23) ) ) )
      | ~ sP70(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).

fof(f83,plain,
    ! [X1] :
      ( ~ p109(X1)
      | ( ( ~ p10(X1)
          | ! [X20] :
              ( ~ p109(X20)
              | p10(X20)
              | ~ r1(X1,X20) ) )
        & ( p10(X1)
          | ! [X21] :
              ( ~ p109(X21)
              | ~ p10(X21)
              | ~ r1(X1,X21) ) ) )
      | ~ sP71(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).

fof(f84,plain,
    ! [X1] :
      ( ~ p108(X1)
      | ( ( ~ p9(X1)
          | ! [X18] :
              ( ~ p108(X18)
              | p9(X18)
              | ~ r1(X1,X18) ) )
        & ( p9(X1)
          | ! [X19] :
              ( ~ p108(X19)
              | ~ p9(X19)
              | ~ r1(X1,X19) ) ) )
      | ~ sP72(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).

fof(f85,plain,
    ! [X1] :
      ( ~ p107(X1)
      | ( ( ~ p8(X1)
          | ! [X16] :
              ( ~ p107(X16)
              | p8(X16)
              | ~ r1(X1,X16) ) )
        & ( p8(X1)
          | ! [X17] :
              ( ~ p107(X17)
              | ~ p8(X17)
              | ~ r1(X1,X17) ) ) )
      | ~ sP73(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).

fof(f86,plain,
    ! [X1] :
      ( ~ p106(X1)
      | ( ( ~ p7(X1)
          | ! [X14] :
              ( ~ p106(X14)
              | p7(X14)
              | ~ r1(X1,X14) ) )
        & ( p7(X1)
          | ! [X15] :
              ( ~ p106(X15)
              | ~ p7(X15)
              | ~ r1(X1,X15) ) ) )
      | ~ sP74(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).

fof(f87,plain,
    ! [X1] :
      ( ~ p105(X1)
      | ( ( ~ p6(X1)
          | ! [X12] :
              ( ~ p105(X12)
              | p6(X12)
              | ~ r1(X1,X12) ) )
        & ( p6(X1)
          | ! [X13] :
              ( ~ p105(X13)
              | ~ p6(X13)
              | ~ r1(X1,X13) ) ) )
      | ~ sP75(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).

fof(f88,plain,
    ! [X1] :
      ( ~ p104(X1)
      | ( ( ~ p5(X1)
          | ! [X10] :
              ( ~ p104(X10)
              | p5(X10)
              | ~ r1(X1,X10) ) )
        & ( p5(X1)
          | ! [X11] :
              ( ~ p104(X11)
              | ~ p5(X11)
              | ~ r1(X1,X11) ) ) )
      | ~ sP76(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).

fof(f89,plain,
    ! [X1] :
      ( ~ p103(X1)
      | ( ( ~ p4(X1)
          | ! [X8] :
              ( ~ p103(X8)
              | p4(X8)
              | ~ r1(X1,X8) ) )
        & ( p4(X1)
          | ! [X9] :
              ( ~ p103(X9)
              | ~ p4(X9)
              | ~ r1(X1,X9) ) ) )
      | ~ sP77(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).

fof(f90,plain,
    ! [X1] :
      ( ~ p102(X1)
      | ( ( ~ p3(X1)
          | ! [X6] :
              ( ~ p102(X6)
              | p3(X6)
              | ~ r1(X1,X6) ) )
        & ( p3(X1)
          | ! [X7] :
              ( ~ p102(X7)
              | ~ p3(X7)
              | ~ r1(X1,X7) ) ) )
      | ~ sP78(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).

fof(f91,plain,
    ! [X1] :
      ( ~ p101(X1)
      | ( ( ~ p2(X1)
          | ! [X4] :
              ( ~ p101(X4)
              | p2(X4)
              | ~ r1(X1,X4) ) )
        & ( p2(X1)
          | ! [X5] :
              ( ~ p101(X5)
              | ~ p2(X5)
              | ~ r1(X1,X5) ) ) )
      | ~ sP79(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).

fof(f92,plain,
    ! [X1] :
      ( ~ p100(X1)
      | ( ( ~ p1(X1)
          | ! [X2] :
              ( ~ p100(X2)
              | p1(X2)
              | ~ r1(X1,X2) ) )
        & ( p1(X1)
          | ! [X3] :
              ( ~ p100(X3)
              | ~ p1(X3)
              | ~ r1(X1,X3) ) ) )
      | ~ sP80(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).

fof(f93,plain,
    ! [X1] :
      ( ( ( ~ p101(X1)
          | p100(X1) )
        & ( ~ p102(X1)
          | p101(X1) )
        & ( ~ p103(X1)
          | p102(X1) )
        & ( ~ p104(X1)
          | p103(X1) )
        & ( ~ p105(X1)
          | p104(X1) )
        & ( ~ p106(X1)
          | p105(X1) )
        & ( ~ p107(X1)
          | p106(X1) )
        & ( ~ p108(X1)
          | p107(X1) )
        & ( ~ p109(X1)
          | p108(X1) )
        & ( ~ p110(X1)
          | p109(X1) )
        & ( ~ p111(X1)
          | p110(X1) )
        & ( ~ p112(X1)
          | p111(X1) )
        & ( ~ p113(X1)
          | p112(X1) )
        & ( ~ p114(X1)
          | p113(X1) )
        & ( ~ p115(X1)
          | p114(X1) )
        & ( ~ p116(X1)
          | p115(X1) )
        & ( ~ p117(X1)
          | p116(X1) )
        & ( ~ p118(X1)
          | p117(X1) )
        & ( ~ p119(X1)
          | p118(X1) )
        & ( ~ p120(X1)
          | p119(X1) )
        & sP80(X1)
        & sP79(X1)
        & sP78(X1)
        & sP77(X1)
        & sP76(X1)
        & sP75(X1)
        & sP74(X1)
        & sP73(X1)
        & sP72(X1)
        & sP71(X1)
        & sP70(X1)
        & sP69(X1)
        & sP68(X1)
        & sP67(X1)
        & sP66(X1)
        & sP65(X1)
        & sP64(X1)
        & sP63(X1)
        & sP62(X1)
        & sP61(X1)
        & sP60(X1)
        & sP59(X1)
        & sP58(X1)
        & sP57(X1)
        & sP56(X1)
        & sP55(X1)
        & sP54(X1)
        & sP53(X1)
        & sP52(X1)
        & sP51(X1)
        & sP50(X1)
        & sP49(X1)
        & sP48(X1)
        & sP47(X1)
        & sP46(X1)
        & sP45(X1)
        & sP44(X1)
        & sP43(X1)
        & sP42(X1)
        & sP41(X1)
        & sP40(X1) )
      | ~ sP81(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).

fof(f9,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ( ( ~ p101(X1)
              | p100(X1) )
            & ( ~ p102(X1)
              | p101(X1) )
            & ( ~ p103(X1)
              | p102(X1) )
            & ( ~ p104(X1)
              | p103(X1) )
            & ( ~ p105(X1)
              | p104(X1) )
            & ( ~ p106(X1)
              | p105(X1) )
            & ( ~ p107(X1)
              | p106(X1) )
            & ( ~ p108(X1)
              | p107(X1) )
            & ( ~ p109(X1)
              | p108(X1) )
            & ( ~ p110(X1)
              | p109(X1) )
            & ( ~ p111(X1)
              | p110(X1) )
            & ( ~ p112(X1)
              | p111(X1) )
            & ( ~ p113(X1)
              | p112(X1) )
            & ( ~ p114(X1)
              | p113(X1) )
            & ( ~ p115(X1)
              | p114(X1) )
            & ( ~ p116(X1)
              | p115(X1) )
            & ( ~ p117(X1)
              | p116(X1) )
            & ( ~ p118(X1)
              | p117(X1) )
            & ( ~ p119(X1)
              | p118(X1) )
            & ( ~ p120(X1)
              | p119(X1) )
            & ( ~ p100(X1)
              | ( ( ~ p1(X1)
                  | ! [X2] :
                      ( ~ p100(X2)
                      | p1(X2)
                      | ~ r1(X1,X2) ) )
                & ( p1(X1)
                  | ! [X3] :
                      ( ~ p100(X3)
                      | ~ p1(X3)
                      | ~ r1(X1,X3) ) ) ) )
            & ( ~ p101(X1)
              | ( ( ~ p2(X1)
                  | ! [X4] :
                      ( ~ p101(X4)
                      | p2(X4)
                      | ~ r1(X1,X4) ) )
                & ( p2(X1)
                  | ! [X5] :
                      ( ~ p101(X5)
                      | ~ p2(X5)
                      | ~ r1(X1,X5) ) ) ) )
            & ( ~ p102(X1)
              | ( ( ~ p3(X1)
                  | ! [X6] :
                      ( ~ p102(X6)
                      | p3(X6)
                      | ~ r1(X1,X6) ) )
                & ( p3(X1)
                  | ! [X7] :
                      ( ~ p102(X7)
                      | ~ p3(X7)
                      | ~ r1(X1,X7) ) ) ) )
            & ( ~ p103(X1)
              | ( ( ~ p4(X1)
                  | ! [X8] :
                      ( ~ p103(X8)
                      | p4(X8)
                      | ~ r1(X1,X8) ) )
                & ( p4(X1)
                  | ! [X9] :
                      ( ~ p103(X9)
                      | ~ p4(X9)
                      | ~ r1(X1,X9) ) ) ) )
            & ( ~ p104(X1)
              | ( ( ~ p5(X1)
                  | ! [X10] :
                      ( ~ p104(X10)
                      | p5(X10)
                      | ~ r1(X1,X10) ) )
                & ( p5(X1)
                  | ! [X11] :
                      ( ~ p104(X11)
                      | ~ p5(X11)
                      | ~ r1(X1,X11) ) ) ) )
            & ( ~ p105(X1)
              | ( ( ~ p6(X1)
                  | ! [X12] :
                      ( ~ p105(X12)
                      | p6(X12)
                      | ~ r1(X1,X12) ) )
                & ( p6(X1)
                  | ! [X13] :
                      ( ~ p105(X13)
                      | ~ p6(X13)
                      | ~ r1(X1,X13) ) ) ) )
            & ( ~ p106(X1)
              | ( ( ~ p7(X1)
                  | ! [X14] :
                      ( ~ p106(X14)
                      | p7(X14)
                      | ~ r1(X1,X14) ) )
                & ( p7(X1)
                  | ! [X15] :
                      ( ~ p106(X15)
                      | ~ p7(X15)
                      | ~ r1(X1,X15) ) ) ) )
            & ( ~ p107(X1)
              | ( ( ~ p8(X1)
                  | ! [X16] :
                      ( ~ p107(X16)
                      | p8(X16)
                      | ~ r1(X1,X16) ) )
                & ( p8(X1)
                  | ! [X17] :
                      ( ~ p107(X17)
                      | ~ p8(X17)
                      | ~ r1(X1,X17) ) ) ) )
            & ( ~ p108(X1)
              | ( ( ~ p9(X1)
                  | ! [X18] :
                      ( ~ p108(X18)
                      | p9(X18)
                      | ~ r1(X1,X18) ) )
                & ( p9(X1)
                  | ! [X19] :
                      ( ~ p108(X19)
                      | ~ p9(X19)
                      | ~ r1(X1,X19) ) ) ) )
            & ( ~ p109(X1)
              | ( ( ~ p10(X1)
                  | ! [X20] :
                      ( ~ p109(X20)
                      | p10(X20)
                      | ~ r1(X1,X20) ) )
                & ( p10(X1)
                  | ! [X21] :
                      ( ~ p109(X21)
                      | ~ p10(X21)
                      | ~ r1(X1,X21) ) ) ) )
            & ( ~ p110(X1)
              | ( ( ~ p11(X1)
                  | ! [X22] :
                      ( ~ p110(X22)
                      | p11(X22)
                      | ~ r1(X1,X22) ) )
                & ( p11(X1)
                  | ! [X23] :
                      ( ~ p110(X23)
                      | ~ p11(X23)
                      | ~ r1(X1,X23) ) ) ) )
            & ( ~ p111(X1)
              | ( ( ~ p12(X1)
                  | ! [X24] :
                      ( ~ p111(X24)
                      | p12(X24)
                      | ~ r1(X1,X24) ) )
                & ( p12(X1)
                  | ! [X25] :
                      ( ~ p111(X25)
                      | ~ p12(X25)
                      | ~ r1(X1,X25) ) ) ) )
            & ( ~ p112(X1)
              | ( ( ~ p13(X1)
                  | ! [X26] :
                      ( ~ p112(X26)
                      | p13(X26)
                      | ~ r1(X1,X26) ) )
                & ( p13(X1)
                  | ! [X27] :
                      ( ~ p112(X27)
                      | ~ p13(X27)
                      | ~ r1(X1,X27) ) ) ) )
            & ( ~ p113(X1)
              | ( ( ~ p14(X1)
                  | ! [X28] :
                      ( ~ p113(X28)
                      | p14(X28)
                      | ~ r1(X1,X28) ) )
                & ( p14(X1)
                  | ! [X29] :
                      ( ~ p113(X29)
                      | ~ p14(X29)
                      | ~ r1(X1,X29) ) ) ) )
            & ( ~ p114(X1)
              | ( ( ~ p15(X1)
                  | ! [X30] :
                      ( ~ p114(X30)
                      | p15(X30)
                      | ~ r1(X1,X30) ) )
                & ( p15(X1)
                  | ! [X31] :
                      ( ~ p114(X31)
                      | ~ p15(X31)
                      | ~ r1(X1,X31) ) ) ) )
            & ( ~ p115(X1)
              | ( ( ~ p16(X1)
                  | ! [X32] :
                      ( ~ p115(X32)
                      | p16(X32)
                      | ~ r1(X1,X32) ) )
                & ( p16(X1)
                  | ! [X33] :
                      ( ~ p115(X33)
                      | ~ p16(X33)
                      | ~ r1(X1,X33) ) ) ) )
            & ( ~ p116(X1)
              | ( ( ~ p17(X1)
                  | ! [X34] :
                      ( ~ p116(X34)
                      | p17(X34)
                      | ~ r1(X1,X34) ) )
                & ( p17(X1)
                  | ! [X35] :
                      ( ~ p116(X35)
                      | ~ p17(X35)
                      | ~ r1(X1,X35) ) ) ) )
            & ( ~ p117(X1)
              | ( ( ~ p18(X1)
                  | ! [X36] :
                      ( ~ p117(X36)
                      | p18(X36)
                      | ~ r1(X1,X36) ) )
                & ( p18(X1)
                  | ! [X37] :
                      ( ~ p117(X37)
                      | ~ p18(X37)
                      | ~ r1(X1,X37) ) ) ) )
            & ( ~ p118(X1)
              | ( ( ~ p19(X1)
                  | ! [X38] :
                      ( ~ p118(X38)
                      | p19(X38)
                      | ~ r1(X1,X38) ) )
                & ( p19(X1)
                  | ! [X39] :
                      ( ~ p118(X39)
                      | ~ p19(X39)
                      | ~ r1(X1,X39) ) ) ) )
            & ( ~ p119(X1)
              | ( ( ~ p20(X1)
                  | ! [X40] :
                      ( ~ p119(X40)
                      | p20(X40)
                      | ~ r1(X1,X40) ) )
                & ( p20(X1)
                  | ! [X41] :
                      ( ~ p119(X41)
                      | ~ p20(X41)
                      | ~ r1(X1,X41) ) ) ) )
            & ( ~ p120(X1)
              | ( ( ~ p21(X1)
                  | ! [X42] :
                      ( ~ p120(X42)
                      | p21(X42)
                      | ~ r1(X1,X42) ) )
                & ( p21(X1)
                  | ! [X43] :
                      ( ~ p120(X43)
                      | ~ p21(X43)
                      | ~ r1(X1,X43) ) ) ) )
            & ( ~ p100(X1)
              | p101(X1)
              | ( ? [X44] :
                    ( p101(X44)
                    & ~ p102(X44)
                    & p2(X44)
                    & r1(X1,X44) )
                & ? [X45] :
                    ( p101(X45)
                    & ~ p102(X45)
                    & ~ p2(X45)
                    & r1(X1,X45) ) ) )
            & ( ~ p101(X1)
              | p102(X1)
              | ( ? [X46] :
                    ( p102(X46)
                    & ~ p103(X46)
                    & p3(X46)
                    & r1(X1,X46) )
                & ? [X47] :
                    ( p102(X47)
                    & ~ p103(X47)
                    & ~ p3(X47)
                    & r1(X1,X47) ) ) )
            & ( ~ p102(X1)
              | p103(X1)
              | ( ? [X48] :
                    ( p103(X48)
                    & ~ p104(X48)
                    & p4(X48)
                    & r1(X1,X48) )
                & ? [X49] :
                    ( p103(X49)
                    & ~ p104(X49)
                    & ~ p4(X49)
                    & r1(X1,X49) ) ) )
            & ( ~ p103(X1)
              | p104(X1)
              | ( ? [X50] :
                    ( p104(X50)
                    & ~ p105(X50)
                    & p5(X50)
                    & r1(X1,X50) )
                & ? [X51] :
                    ( p104(X51)
                    & ~ p105(X51)
                    & ~ p5(X51)
                    & r1(X1,X51) ) ) )
            & ( ~ p104(X1)
              | p105(X1)
              | ( ? [X52] :
                    ( p105(X52)
                    & ~ p106(X52)
                    & p6(X52)
                    & r1(X1,X52) )
                & ? [X53] :
                    ( p105(X53)
                    & ~ p106(X53)
                    & ~ p6(X53)
                    & r1(X1,X53) ) ) )
            & ( ~ p105(X1)
              | p106(X1)
              | ( ? [X54] :
                    ( p106(X54)
                    & ~ p107(X54)
                    & p7(X54)
                    & r1(X1,X54) )
                & ? [X55] :
                    ( p106(X55)
                    & ~ p107(X55)
                    & ~ p7(X55)
                    & r1(X1,X55) ) ) )
            & ( ~ p106(X1)
              | p107(X1)
              | ( ? [X56] :
                    ( p107(X56)
                    & ~ p108(X56)
                    & p8(X56)
                    & r1(X1,X56) )
                & ? [X57] :
                    ( p107(X57)
                    & ~ p108(X57)
                    & ~ p8(X57)
                    & r1(X1,X57) ) ) )
            & ( ~ p107(X1)
              | p108(X1)
              | ( ? [X58] :
                    ( p108(X58)
                    & ~ p109(X58)
                    & p9(X58)
                    & r1(X1,X58) )
                & ? [X59] :
                    ( p108(X59)
                    & ~ p109(X59)
                    & ~ p9(X59)
                    & r1(X1,X59) ) ) )
            & ( ~ p108(X1)
              | p109(X1)
              | ( ? [X60] :
                    ( p109(X60)
                    & ~ p110(X60)
                    & p10(X60)
                    & r1(X1,X60) )
                & ? [X61] :
                    ( p109(X61)
                    & ~ p110(X61)
                    & ~ p10(X61)
                    & r1(X1,X61) ) ) )
            & ( ~ p109(X1)
              | p110(X1)
              | ( ? [X62] :
                    ( p110(X62)
                    & ~ p111(X62)
                    & p11(X62)
                    & r1(X1,X62) )
                & ? [X63] :
                    ( p110(X63)
                    & ~ p111(X63)
                    & ~ p11(X63)
                    & r1(X1,X63) ) ) )
            & ( ~ p110(X1)
              | p111(X1)
              | ( ? [X64] :
                    ( p111(X64)
                    & ~ p112(X64)
                    & p12(X64)
                    & r1(X1,X64) )
                & ? [X65] :
                    ( p111(X65)
                    & ~ p112(X65)
                    & ~ p12(X65)
                    & r1(X1,X65) ) ) )
            & ( ~ p111(X1)
              | p112(X1)
              | ( ? [X66] :
                    ( p112(X66)
                    & ~ p113(X66)
                    & p13(X66)
                    & r1(X1,X66) )
                & ? [X67] :
                    ( p112(X67)
                    & ~ p113(X67)
                    & ~ p13(X67)
                    & r1(X1,X67) ) ) )
            & ( ~ p112(X1)
              | p113(X1)
              | ( ? [X68] :
                    ( p113(X68)
                    & ~ p114(X68)
                    & p14(X68)
                    & r1(X1,X68) )
                & ? [X69] :
                    ( p113(X69)
                    & ~ p114(X69)
                    & ~ p14(X69)
                    & r1(X1,X69) ) ) )
            & ( ~ p113(X1)
              | p114(X1)
              | ( ? [X70] :
                    ( p114(X70)
                    & ~ p115(X70)
                    & p15(X70)
                    & r1(X1,X70) )
                & ? [X71] :
                    ( p114(X71)
                    & ~ p115(X71)
                    & ~ p15(X71)
                    & r1(X1,X71) ) ) )
            & ( ~ p114(X1)
              | p115(X1)
              | ( ? [X72] :
                    ( p115(X72)
                    & ~ p116(X72)
                    & p16(X72)
                    & r1(X1,X72) )
                & ? [X73] :
                    ( p115(X73)
                    & ~ p116(X73)
                    & ~ p16(X73)
                    & r1(X1,X73) ) ) )
            & ( ~ p115(X1)
              | p116(X1)
              | ( ? [X74] :
                    ( p116(X74)
                    & ~ p117(X74)
                    & p17(X74)
                    & r1(X1,X74) )
                & ? [X75] :
                    ( p116(X75)
                    & ~ p117(X75)
                    & ~ p17(X75)
                    & r1(X1,X75) ) ) )
            & ( ~ p116(X1)
              | p117(X1)
              | ( ? [X76] :
                    ( p117(X76)
                    & ~ p118(X76)
                    & p18(X76)
                    & r1(X1,X76) )
                & ? [X77] :
                    ( p117(X77)
                    & ~ p118(X77)
                    & ~ p18(X77)
                    & r1(X1,X77) ) ) )
            & ( ~ p117(X1)
              | p118(X1)
              | ( ? [X78] :
                    ( p118(X78)
                    & ~ p119(X78)
                    & p19(X78)
                    & r1(X1,X78) )
                & ? [X79] :
                    ( p118(X79)
                    & ~ p119(X79)
                    & ~ p19(X79)
                    & r1(X1,X79) ) ) )
            & ( ~ p118(X1)
              | p119(X1)
              | ( ? [X80] :
                    ( p119(X80)
                    & ~ p120(X80)
                    & p20(X80)
                    & r1(X1,X80) )
                & ? [X81] :
                    ( p119(X81)
                    & ~ p120(X81)
                    & ~ p20(X81)
                    & r1(X1,X81) ) ) )
            & ( ~ p119(X1)
              | p120(X1)
              | ( ? [X82] :
                    ( p120(X82)
                    & p21(X82)
                    & r1(X1,X82) )
                & ? [X83] :
                    ( p120(X83)
                    & ~ p21(X83)
                    & r1(X1,X83) ) ) ) )
          | ~ r1(X0,X1) )
      & ! [X84] :
          ( p8(X84)
          | ~ r1(X0,X84) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ( ( ~ p101(X1)
              | p100(X1) )
            & ( ~ p102(X1)
              | p101(X1) )
            & ( ~ p103(X1)
              | p102(X1) )
            & ( ~ p104(X1)
              | p103(X1) )
            & ( ~ p105(X1)
              | p104(X1) )
            & ( ~ p106(X1)
              | p105(X1) )
            & ( ~ p107(X1)
              | p106(X1) )
            & ( ~ p108(X1)
              | p107(X1) )
            & ( ~ p109(X1)
              | p108(X1) )
            & ( ~ p110(X1)
              | p109(X1) )
            & ( ~ p111(X1)
              | p110(X1) )
            & ( ~ p112(X1)
              | p111(X1) )
            & ( ~ p113(X1)
              | p112(X1) )
            & ( ~ p114(X1)
              | p113(X1) )
            & ( ~ p115(X1)
              | p114(X1) )
            & ( ~ p116(X1)
              | p115(X1) )
            & ( ~ p117(X1)
              | p116(X1) )
            & ( ~ p118(X1)
              | p117(X1) )
            & ( ~ p119(X1)
              | p118(X1) )
            & ( ~ p120(X1)
              | p119(X1) )
            & ( ~ p100(X1)
              | ( ( ~ p1(X1)
                  | ! [X2] :
                      ( ~ p100(X2)
                      | p1(X2)
                      | ~ r1(X1,X2) ) )
                & ( p1(X1)
                  | ! [X3] :
                      ( ~ p100(X3)
                      | ~ p1(X3)
                      | ~ r1(X1,X3) ) ) ) )
            & ( ~ p101(X1)
              | ( ( ~ p2(X1)
                  | ! [X4] :
                      ( ~ p101(X4)
                      | p2(X4)
                      | ~ r1(X1,X4) ) )
                & ( p2(X1)
                  | ! [X5] :
                      ( ~ p101(X5)
                      | ~ p2(X5)
                      | ~ r1(X1,X5) ) ) ) )
            & ( ~ p102(X1)
              | ( ( ~ p3(X1)
                  | ! [X6] :
                      ( ~ p102(X6)
                      | p3(X6)
                      | ~ r1(X1,X6) ) )
                & ( p3(X1)
                  | ! [X7] :
                      ( ~ p102(X7)
                      | ~ p3(X7)
                      | ~ r1(X1,X7) ) ) ) )
            & ( ~ p103(X1)
              | ( ( ~ p4(X1)
                  | ! [X8] :
                      ( ~ p103(X8)
                      | p4(X8)
                      | ~ r1(X1,X8) ) )
                & ( p4(X1)
                  | ! [X9] :
                      ( ~ p103(X9)
                      | ~ p4(X9)
                      | ~ r1(X1,X9) ) ) ) )
            & ( ~ p104(X1)
              | ( ( ~ p5(X1)
                  | ! [X10] :
                      ( ~ p104(X10)
                      | p5(X10)
                      | ~ r1(X1,X10) ) )
                & ( p5(X1)
                  | ! [X11] :
                      ( ~ p104(X11)
                      | ~ p5(X11)
                      | ~ r1(X1,X11) ) ) ) )
            & ( ~ p105(X1)
              | ( ( ~ p6(X1)
                  | ! [X12] :
                      ( ~ p105(X12)
                      | p6(X12)
                      | ~ r1(X1,X12) ) )
                & ( p6(X1)
                  | ! [X13] :
                      ( ~ p105(X13)
                      | ~ p6(X13)
                      | ~ r1(X1,X13) ) ) ) )
            & ( ~ p106(X1)
              | ( ( ~ p7(X1)
                  | ! [X14] :
                      ( ~ p106(X14)
                      | p7(X14)
                      | ~ r1(X1,X14) ) )
                & ( p7(X1)
                  | ! [X15] :
                      ( ~ p106(X15)
                      | ~ p7(X15)
                      | ~ r1(X1,X15) ) ) ) )
            & ( ~ p107(X1)
              | ( ( ~ p8(X1)
                  | ! [X16] :
                      ( ~ p107(X16)
                      | p8(X16)
                      | ~ r1(X1,X16) ) )
                & ( p8(X1)
                  | ! [X17] :
                      ( ~ p107(X17)
                      | ~ p8(X17)
                      | ~ r1(X1,X17) ) ) ) )
            & ( ~ p108(X1)
              | ( ( ~ p9(X1)
                  | ! [X18] :
                      ( ~ p108(X18)
                      | p9(X18)
                      | ~ r1(X1,X18) ) )
                & ( p9(X1)
                  | ! [X19] :
                      ( ~ p108(X19)
                      | ~ p9(X19)
                      | ~ r1(X1,X19) ) ) ) )
            & ( ~ p109(X1)
              | ( ( ~ p10(X1)
                  | ! [X20] :
                      ( ~ p109(X20)
                      | p10(X20)
                      | ~ r1(X1,X20) ) )
                & ( p10(X1)
                  | ! [X21] :
                      ( ~ p109(X21)
                      | ~ p10(X21)
                      | ~ r1(X1,X21) ) ) ) )
            & ( ~ p110(X1)
              | ( ( ~ p11(X1)
                  | ! [X22] :
                      ( ~ p110(X22)
                      | p11(X22)
                      | ~ r1(X1,X22) ) )
                & ( p11(X1)
                  | ! [X23] :
                      ( ~ p110(X23)
                      | ~ p11(X23)
                      | ~ r1(X1,X23) ) ) ) )
            & ( ~ p111(X1)
              | ( ( ~ p12(X1)
                  | ! [X24] :
                      ( ~ p111(X24)
                      | p12(X24)
                      | ~ r1(X1,X24) ) )
                & ( p12(X1)
                  | ! [X25] :
                      ( ~ p111(X25)
                      | ~ p12(X25)
                      | ~ r1(X1,X25) ) ) ) )
            & ( ~ p112(X1)
              | ( ( ~ p13(X1)
                  | ! [X26] :
                      ( ~ p112(X26)
                      | p13(X26)
                      | ~ r1(X1,X26) ) )
                & ( p13(X1)
                  | ! [X27] :
                      ( ~ p112(X27)
                      | ~ p13(X27)
                      | ~ r1(X1,X27) ) ) ) )
            & ( ~ p113(X1)
              | ( ( ~ p14(X1)
                  | ! [X28] :
                      ( ~ p113(X28)
                      | p14(X28)
                      | ~ r1(X1,X28) ) )
                & ( p14(X1)
                  | ! [X29] :
                      ( ~ p113(X29)
                      | ~ p14(X29)
                      | ~ r1(X1,X29) ) ) ) )
            & ( ~ p114(X1)
              | ( ( ~ p15(X1)
                  | ! [X30] :
                      ( ~ p114(X30)
                      | p15(X30)
                      | ~ r1(X1,X30) ) )
                & ( p15(X1)
                  | ! [X31] :
                      ( ~ p114(X31)
                      | ~ p15(X31)
                      | ~ r1(X1,X31) ) ) ) )
            & ( ~ p115(X1)
              | ( ( ~ p16(X1)
                  | ! [X32] :
                      ( ~ p115(X32)
                      | p16(X32)
                      | ~ r1(X1,X32) ) )
                & ( p16(X1)
                  | ! [X33] :
                      ( ~ p115(X33)
                      | ~ p16(X33)
                      | ~ r1(X1,X33) ) ) ) )
            & ( ~ p116(X1)
              | ( ( ~ p17(X1)
                  | ! [X34] :
                      ( ~ p116(X34)
                      | p17(X34)
                      | ~ r1(X1,X34) ) )
                & ( p17(X1)
                  | ! [X35] :
                      ( ~ p116(X35)
                      | ~ p17(X35)
                      | ~ r1(X1,X35) ) ) ) )
            & ( ~ p117(X1)
              | ( ( ~ p18(X1)
                  | ! [X36] :
                      ( ~ p117(X36)
                      | p18(X36)
                      | ~ r1(X1,X36) ) )
                & ( p18(X1)
                  | ! [X37] :
                      ( ~ p117(X37)
                      | ~ p18(X37)
                      | ~ r1(X1,X37) ) ) ) )
            & ( ~ p118(X1)
              | ( ( ~ p19(X1)
                  | ! [X38] :
                      ( ~ p118(X38)
                      | p19(X38)
                      | ~ r1(X1,X38) ) )
                & ( p19(X1)
                  | ! [X39] :
                      ( ~ p118(X39)
                      | ~ p19(X39)
                      | ~ r1(X1,X39) ) ) ) )
            & ( ~ p119(X1)
              | ( ( ~ p20(X1)
                  | ! [X40] :
                      ( ~ p119(X40)
                      | p20(X40)
                      | ~ r1(X1,X40) ) )
                & ( p20(X1)
                  | ! [X41] :
                      ( ~ p119(X41)
                      | ~ p20(X41)
                      | ~ r1(X1,X41) ) ) ) )
            & ( ~ p120(X1)
              | ( ( ~ p21(X1)
                  | ! [X42] :
                      ( ~ p120(X42)
                      | p21(X42)
                      | ~ r1(X1,X42) ) )
                & ( p21(X1)
                  | ! [X43] :
                      ( ~ p120(X43)
                      | ~ p21(X43)
                      | ~ r1(X1,X43) ) ) ) )
            & ( ~ p100(X1)
              | p101(X1)
              | ( ? [X44] :
                    ( p101(X44)
                    & ~ p102(X44)
                    & p2(X44)
                    & r1(X1,X44) )
                & ? [X45] :
                    ( p101(X45)
                    & ~ p102(X45)
                    & ~ p2(X45)
                    & r1(X1,X45) ) ) )
            & ( ~ p101(X1)
              | p102(X1)
              | ( ? [X46] :
                    ( p102(X46)
                    & ~ p103(X46)
                    & p3(X46)
                    & r1(X1,X46) )
                & ? [X47] :
                    ( p102(X47)
                    & ~ p103(X47)
                    & ~ p3(X47)
                    & r1(X1,X47) ) ) )
            & ( ~ p102(X1)
              | p103(X1)
              | ( ? [X48] :
                    ( p103(X48)
                    & ~ p104(X48)
                    & p4(X48)
                    & r1(X1,X48) )
                & ? [X49] :
                    ( p103(X49)
                    & ~ p104(X49)
                    & ~ p4(X49)
                    & r1(X1,X49) ) ) )
            & ( ~ p103(X1)
              | p104(X1)
              | ( ? [X50] :
                    ( p104(X50)
                    & ~ p105(X50)
                    & p5(X50)
                    & r1(X1,X50) )
                & ? [X51] :
                    ( p104(X51)
                    & ~ p105(X51)
                    & ~ p5(X51)
                    & r1(X1,X51) ) ) )
            & ( ~ p104(X1)
              | p105(X1)
              | ( ? [X52] :
                    ( p105(X52)
                    & ~ p106(X52)
                    & p6(X52)
                    & r1(X1,X52) )
                & ? [X53] :
                    ( p105(X53)
                    & ~ p106(X53)
                    & ~ p6(X53)
                    & r1(X1,X53) ) ) )
            & ( ~ p105(X1)
              | p106(X1)
              | ( ? [X54] :
                    ( p106(X54)
                    & ~ p107(X54)
                    & p7(X54)
                    & r1(X1,X54) )
                & ? [X55] :
                    ( p106(X55)
                    & ~ p107(X55)
                    & ~ p7(X55)
                    & r1(X1,X55) ) ) )
            & ( ~ p106(X1)
              | p107(X1)
              | ( ? [X56] :
                    ( p107(X56)
                    & ~ p108(X56)
                    & p8(X56)
                    & r1(X1,X56) )
                & ? [X57] :
                    ( p107(X57)
                    & ~ p108(X57)
                    & ~ p8(X57)
                    & r1(X1,X57) ) ) )
            & ( ~ p107(X1)
              | p108(X1)
              | ( ? [X58] :
                    ( p108(X58)
                    & ~ p109(X58)
                    & p9(X58)
                    & r1(X1,X58) )
                & ? [X59] :
                    ( p108(X59)
                    & ~ p109(X59)
                    & ~ p9(X59)
                    & r1(X1,X59) ) ) )
            & ( ~ p108(X1)
              | p109(X1)
              | ( ? [X60] :
                    ( p109(X60)
                    & ~ p110(X60)
                    & p10(X60)
                    & r1(X1,X60) )
                & ? [X61] :
                    ( p109(X61)
                    & ~ p110(X61)
                    & ~ p10(X61)
                    & r1(X1,X61) ) ) )
            & ( ~ p109(X1)
              | p110(X1)
              | ( ? [X62] :
                    ( p110(X62)
                    & ~ p111(X62)
                    & p11(X62)
                    & r1(X1,X62) )
                & ? [X63] :
                    ( p110(X63)
                    & ~ p111(X63)
                    & ~ p11(X63)
                    & r1(X1,X63) ) ) )
            & ( ~ p110(X1)
              | p111(X1)
              | ( ? [X64] :
                    ( p111(X64)
                    & ~ p112(X64)
                    & p12(X64)
                    & r1(X1,X64) )
                & ? [X65] :
                    ( p111(X65)
                    & ~ p112(X65)
                    & ~ p12(X65)
                    & r1(X1,X65) ) ) )
            & ( ~ p111(X1)
              | p112(X1)
              | ( ? [X66] :
                    ( p112(X66)
                    & ~ p113(X66)
                    & p13(X66)
                    & r1(X1,X66) )
                & ? [X67] :
                    ( p112(X67)
                    & ~ p113(X67)
                    & ~ p13(X67)
                    & r1(X1,X67) ) ) )
            & ( ~ p112(X1)
              | p113(X1)
              | ( ? [X68] :
                    ( p113(X68)
                    & ~ p114(X68)
                    & p14(X68)
                    & r1(X1,X68) )
                & ? [X69] :
                    ( p113(X69)
                    & ~ p114(X69)
                    & ~ p14(X69)
                    & r1(X1,X69) ) ) )
            & ( ~ p113(X1)
              | p114(X1)
              | ( ? [X70] :
                    ( p114(X70)
                    & ~ p115(X70)
                    & p15(X70)
                    & r1(X1,X70) )
                & ? [X71] :
                    ( p114(X71)
                    & ~ p115(X71)
                    & ~ p15(X71)
                    & r1(X1,X71) ) ) )
            & ( ~ p114(X1)
              | p115(X1)
              | ( ? [X72] :
                    ( p115(X72)
                    & ~ p116(X72)
                    & p16(X72)
                    & r1(X1,X72) )
                & ? [X73] :
                    ( p115(X73)
                    & ~ p116(X73)
                    & ~ p16(X73)
                    & r1(X1,X73) ) ) )
            & ( ~ p115(X1)
              | p116(X1)
              | ( ? [X74] :
                    ( p116(X74)
                    & ~ p117(X74)
                    & p17(X74)
                    & r1(X1,X74) )
                & ? [X75] :
                    ( p116(X75)
                    & ~ p117(X75)
                    & ~ p17(X75)
                    & r1(X1,X75) ) ) )
            & ( ~ p116(X1)
              | p117(X1)
              | ( ? [X76] :
                    ( p117(X76)
                    & ~ p118(X76)
                    & p18(X76)
                    & r1(X1,X76) )
                & ? [X77] :
                    ( p117(X77)
                    & ~ p118(X77)
                    & ~ p18(X77)
                    & r1(X1,X77) ) ) )
            & ( ~ p117(X1)
              | p118(X1)
              | ( ? [X78] :
                    ( p118(X78)
                    & ~ p119(X78)
                    & p19(X78)
                    & r1(X1,X78) )
                & ? [X79] :
                    ( p118(X79)
                    & ~ p119(X79)
                    & ~ p19(X79)
                    & r1(X1,X79) ) ) )
            & ( ~ p118(X1)
              | p119(X1)
              | ( ? [X80] :
                    ( p119(X80)
                    & ~ p120(X80)
                    & p20(X80)
                    & r1(X1,X80) )
                & ? [X81] :
                    ( p119(X81)
                    & ~ p120(X81)
                    & ~ p20(X81)
                    & r1(X1,X81) ) ) )
            & ( ~ p119(X1)
              | p120(X1)
              | ( ? [X82] :
                    ( p120(X82)
                    & p21(X82)
                    & r1(X1,X82) )
                & ? [X83] :
                    ( p120(X83)
                    & ~ p21(X83)
                    & r1(X1,X83) ) ) ) )
          | ~ r1(X0,X1) )
      & ! [X84] :
          ( p8(X84)
          | ~ r1(X0,X84) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ? [X0] :
      ~ ( ~ ( p100(X0)
            & ~ p101(X0)
            & ! [X1] :
                ( ( ( ~ p101(X1)
                    | p100(X1) )
                  & ( ~ p102(X1)
                    | p101(X1) )
                  & ( ~ p103(X1)
                    | p102(X1) )
                  & ( ~ p104(X1)
                    | p103(X1) )
                  & ( ~ p105(X1)
                    | p104(X1) )
                  & ( ~ p106(X1)
                    | p105(X1) )
                  & ( ~ p107(X1)
                    | p106(X1) )
                  & ( ~ p108(X1)
                    | p107(X1) )
                  & ( ~ p109(X1)
                    | p108(X1) )
                  & ( ~ p110(X1)
                    | p109(X1) )
                  & ( ~ p111(X1)
                    | p110(X1) )
                  & ( ~ p112(X1)
                    | p111(X1) )
                  & ( ~ p113(X1)
                    | p112(X1) )
                  & ( ~ p114(X1)
                    | p113(X1) )
                  & ( ~ p115(X1)
                    | p114(X1) )
                  & ( ~ p116(X1)
                    | p115(X1) )
                  & ( ~ p117(X1)
                    | p116(X1) )
                  & ( ~ p118(X1)
                    | p117(X1) )
                  & ( ~ p119(X1)
                    | p118(X1) )
                  & ( ~ p120(X1)
                    | p119(X1) )
                  & ( ~ p100(X1)
                    | ( ( ~ p1(X1)
                        | ! [X2] :
                            ( ~ p100(X2)
                            | p1(X2)
                            | ~ r1(X1,X2) ) )
                      & ( p1(X1)
                        | ! [X3] :
                            ( ~ p100(X3)
                            | ~ p1(X3)
                            | ~ r1(X1,X3) ) ) ) )
                  & ( ~ p101(X1)
                    | ( ( ~ p2(X1)
                        | ! [X4] :
                            ( ~ p101(X4)
                            | p2(X4)
                            | ~ r1(X1,X4) ) )
                      & ( p2(X1)
                        | ! [X5] :
                            ( ~ p101(X5)
                            | ~ p2(X5)
                            | ~ r1(X1,X5) ) ) ) )
                  & ( ~ p102(X1)
                    | ( ( ~ p3(X1)
                        | ! [X6] :
                            ( ~ p102(X6)
                            | p3(X6)
                            | ~ r1(X1,X6) ) )
                      & ( p3(X1)
                        | ! [X7] :
                            ( ~ p102(X7)
                            | ~ p3(X7)
                            | ~ r1(X1,X7) ) ) ) )
                  & ( ~ p103(X1)
                    | ( ( ~ p4(X1)
                        | ! [X8] :
                            ( ~ p103(X8)
                            | p4(X8)
                            | ~ r1(X1,X8) ) )
                      & ( p4(X1)
                        | ! [X9] :
                            ( ~ p103(X9)
                            | ~ p4(X9)
                            | ~ r1(X1,X9) ) ) ) )
                  & ( ~ p104(X1)
                    | ( ( ~ p5(X1)
                        | ! [X10] :
                            ( ~ p104(X10)
                            | p5(X10)
                            | ~ r1(X1,X10) ) )
                      & ( p5(X1)
                        | ! [X11] :
                            ( ~ p104(X11)
                            | ~ p5(X11)
                            | ~ r1(X1,X11) ) ) ) )
                  & ( ~ p105(X1)
                    | ( ( ~ p6(X1)
                        | ! [X12] :
                            ( ~ p105(X12)
                            | p6(X12)
                            | ~ r1(X1,X12) ) )
                      & ( p6(X1)
                        | ! [X13] :
                            ( ~ p105(X13)
                            | ~ p6(X13)
                            | ~ r1(X1,X13) ) ) ) )
                  & ( ~ p106(X1)
                    | ( ( ~ p7(X1)
                        | ! [X14] :
                            ( ~ p106(X14)
                            | p7(X14)
                            | ~ r1(X1,X14) ) )
                      & ( p7(X1)
                        | ! [X15] :
                            ( ~ p106(X15)
                            | ~ p7(X15)
                            | ~ r1(X1,X15) ) ) ) )
                  & ( ~ p107(X1)
                    | ( ( ~ p8(X1)
                        | ! [X16] :
                            ( ~ p107(X16)
                            | p8(X16)
                            | ~ r1(X1,X16) ) )
                      & ( p8(X1)
                        | ! [X17] :
                            ( ~ p107(X17)
                            | ~ p8(X17)
                            | ~ r1(X1,X17) ) ) ) )
                  & ( ~ p108(X1)
                    | ( ( ~ p9(X1)
                        | ! [X18] :
                            ( ~ p108(X18)
                            | p9(X18)
                            | ~ r1(X1,X18) ) )
                      & ( p9(X1)
                        | ! [X19] :
                            ( ~ p108(X19)
                            | ~ p9(X19)
                            | ~ r1(X1,X19) ) ) ) )
                  & ( ~ p109(X1)
                    | ( ( ~ p10(X1)
                        | ! [X20] :
                            ( ~ p109(X20)
                            | p10(X20)
                            | ~ r1(X1,X20) ) )
                      & ( p10(X1)
                        | ! [X21] :
                            ( ~ p109(X21)
                            | ~ p10(X21)
                            | ~ r1(X1,X21) ) ) ) )
                  & ( ~ p110(X1)
                    | ( ( ~ p11(X1)
                        | ! [X22] :
                            ( ~ p110(X22)
                            | p11(X22)
                            | ~ r1(X1,X22) ) )
                      & ( p11(X1)
                        | ! [X23] :
                            ( ~ p110(X23)
                            | ~ p11(X23)
                            | ~ r1(X1,X23) ) ) ) )
                  & ( ~ p111(X1)
                    | ( ( ~ p12(X1)
                        | ! [X24] :
                            ( ~ p111(X24)
                            | p12(X24)
                            | ~ r1(X1,X24) ) )
                      & ( p12(X1)
                        | ! [X25] :
                            ( ~ p111(X25)
                            | ~ p12(X25)
                            | ~ r1(X1,X25) ) ) ) )
                  & ( ~ p112(X1)
                    | ( ( ~ p13(X1)
                        | ! [X26] :
                            ( ~ p112(X26)
                            | p13(X26)
                            | ~ r1(X1,X26) ) )
                      & ( p13(X1)
                        | ! [X27] :
                            ( ~ p112(X27)
                            | ~ p13(X27)
                            | ~ r1(X1,X27) ) ) ) )
                  & ( ~ p113(X1)
                    | ( ( ~ p14(X1)
                        | ! [X28] :
                            ( ~ p113(X28)
                            | p14(X28)
                            | ~ r1(X1,X28) ) )
                      & ( p14(X1)
                        | ! [X29] :
                            ( ~ p113(X29)
                            | ~ p14(X29)
                            | ~ r1(X1,X29) ) ) ) )
                  & ( ~ p114(X1)
                    | ( ( ~ p15(X1)
                        | ! [X30] :
                            ( ~ p114(X30)
                            | p15(X30)
                            | ~ r1(X1,X30) ) )
                      & ( p15(X1)
                        | ! [X31] :
                            ( ~ p114(X31)
                            | ~ p15(X31)
                            | ~ r1(X1,X31) ) ) ) )
                  & ( ~ p115(X1)
                    | ( ( ~ p16(X1)
                        | ! [X32] :
                            ( ~ p115(X32)
                            | p16(X32)
                            | ~ r1(X1,X32) ) )
                      & ( p16(X1)
                        | ! [X33] :
                            ( ~ p115(X33)
                            | ~ p16(X33)
                            | ~ r1(X1,X33) ) ) ) )
                  & ( ~ p116(X1)
                    | ( ( ~ p17(X1)
                        | ! [X34] :
                            ( ~ p116(X34)
                            | p17(X34)
                            | ~ r1(X1,X34) ) )
                      & ( p17(X1)
                        | ! [X35] :
                            ( ~ p116(X35)
                            | ~ p17(X35)
                            | ~ r1(X1,X35) ) ) ) )
                  & ( ~ p117(X1)
                    | ( ( ~ p18(X1)
                        | ! [X36] :
                            ( ~ p117(X36)
                            | p18(X36)
                            | ~ r1(X1,X36) ) )
                      & ( p18(X1)
                        | ! [X37] :
                            ( ~ p117(X37)
                            | ~ p18(X37)
                            | ~ r1(X1,X37) ) ) ) )
                  & ( ~ p118(X1)
                    | ( ( ~ p19(X1)
                        | ! [X38] :
                            ( ~ p118(X38)
                            | p19(X38)
                            | ~ r1(X1,X38) ) )
                      & ( p19(X1)
                        | ! [X39] :
                            ( ~ p118(X39)
                            | ~ p19(X39)
                            | ~ r1(X1,X39) ) ) ) )
                  & ( ~ p119(X1)
                    | ( ( ~ p20(X1)
                        | ! [X40] :
                            ( ~ p119(X40)
                            | p20(X40)
                            | ~ r1(X1,X40) ) )
                      & ( p20(X1)
                        | ! [X41] :
                            ( ~ p119(X41)
                            | ~ p20(X41)
                            | ~ r1(X1,X41) ) ) ) )
                  & ( ~ p120(X1)
                    | ( ( ~ p21(X1)
                        | ! [X42] :
                            ( ~ p120(X42)
                            | p21(X42)
                            | ~ r1(X1,X42) ) )
                      & ( p21(X1)
                        | ! [X43] :
                            ( ~ p120(X43)
                            | ~ p21(X43)
                            | ~ r1(X1,X43) ) ) ) )
                  & ( ~ ( p100(X1)
                        & ~ p101(X1) )
                    | ( ~ ! [X44] :
                            ( ~ ( p101(X44)
                                & ~ p102(X44)
                                & p2(X44) )
                            | ~ r1(X1,X44) )
                      & ~ ! [X45] :
                            ( ~ ( p101(X45)
                                & ~ p102(X45)
                                & ~ p2(X45) )
                            | ~ r1(X1,X45) ) ) )
                  & ( ~ ( p101(X1)
                        & ~ p102(X1) )
                    | ( ~ ! [X46] :
                            ( ~ ( p102(X46)
                                & ~ p103(X46)
                                & p3(X46) )
                            | ~ r1(X1,X46) )
                      & ~ ! [X47] :
                            ( ~ ( p102(X47)
                                & ~ p103(X47)
                                & ~ p3(X47) )
                            | ~ r1(X1,X47) ) ) )
                  & ( ~ ( p102(X1)
                        & ~ p103(X1) )
                    | ( ~ ! [X48] :
                            ( ~ ( p103(X48)
                                & ~ p104(X48)
                                & p4(X48) )
                            | ~ r1(X1,X48) )
                      & ~ ! [X49] :
                            ( ~ ( p103(X49)
                                & ~ p104(X49)
                                & ~ p4(X49) )
                            | ~ r1(X1,X49) ) ) )
                  & ( ~ ( p103(X1)
                        & ~ p104(X1) )
                    | ( ~ ! [X50] :
                            ( ~ ( p104(X50)
                                & ~ p105(X50)
                                & p5(X50) )
                            | ~ r1(X1,X50) )
                      & ~ ! [X51] :
                            ( ~ ( p104(X51)
                                & ~ p105(X51)
                                & ~ p5(X51) )
                            | ~ r1(X1,X51) ) ) )
                  & ( ~ ( p104(X1)
                        & ~ p105(X1) )
                    | ( ~ ! [X52] :
                            ( ~ ( p105(X52)
                                & ~ p106(X52)
                                & p6(X52) )
                            | ~ r1(X1,X52) )
                      & ~ ! [X53] :
                            ( ~ ( p105(X53)
                                & ~ p106(X53)
                                & ~ p6(X53) )
                            | ~ r1(X1,X53) ) ) )
                  & ( ~ ( p105(X1)
                        & ~ p106(X1) )
                    | ( ~ ! [X54] :
                            ( ~ ( p106(X54)
                                & ~ p107(X54)
                                & p7(X54) )
                            | ~ r1(X1,X54) )
                      & ~ ! [X55] :
                            ( ~ ( p106(X55)
                                & ~ p107(X55)
                                & ~ p7(X55) )
                            | ~ r1(X1,X55) ) ) )
                  & ( ~ ( p106(X1)
                        & ~ p107(X1) )
                    | ( ~ ! [X56] :
                            ( ~ ( p107(X56)
                                & ~ p108(X56)
                                & p8(X56) )
                            | ~ r1(X1,X56) )
                      & ~ ! [X57] :
                            ( ~ ( p107(X57)
                                & ~ p108(X57)
                                & ~ p8(X57) )
                            | ~ r1(X1,X57) ) ) )
                  & ( ~ ( p107(X1)
                        & ~ p108(X1) )
                    | ( ~ ! [X58] :
                            ( ~ ( p108(X58)
                                & ~ p109(X58)
                                & p9(X58) )
                            | ~ r1(X1,X58) )
                      & ~ ! [X59] :
                            ( ~ ( p108(X59)
                                & ~ p109(X59)
                                & ~ p9(X59) )
                            | ~ r1(X1,X59) ) ) )
                  & ( ~ ( p108(X1)
                        & ~ p109(X1) )
                    | ( ~ ! [X60] :
                            ( ~ ( p109(X60)
                                & ~ p110(X60)
                                & p10(X60) )
                            | ~ r1(X1,X60) )
                      & ~ ! [X61] :
                            ( ~ ( p109(X61)
                                & ~ p110(X61)
                                & ~ p10(X61) )
                            | ~ r1(X1,X61) ) ) )
                  & ( ~ ( p109(X1)
                        & ~ p110(X1) )
                    | ( ~ ! [X62] :
                            ( ~ ( p110(X62)
                                & ~ p111(X62)
                                & p11(X62) )
                            | ~ r1(X1,X62) )
                      & ~ ! [X63] :
                            ( ~ ( p110(X63)
                                & ~ p111(X63)
                                & ~ p11(X63) )
                            | ~ r1(X1,X63) ) ) )
                  & ( ~ ( p110(X1)
                        & ~ p111(X1) )
                    | ( ~ ! [X64] :
                            ( ~ ( p111(X64)
                                & ~ p112(X64)
                                & p12(X64) )
                            | ~ r1(X1,X64) )
                      & ~ ! [X65] :
                            ( ~ ( p111(X65)
                                & ~ p112(X65)
                                & ~ p12(X65) )
                            | ~ r1(X1,X65) ) ) )
                  & ( ~ ( p111(X1)
                        & ~ p112(X1) )
                    | ( ~ ! [X66] :
                            ( ~ ( p112(X66)
                                & ~ p113(X66)
                                & p13(X66) )
                            | ~ r1(X1,X66) )
                      & ~ ! [X67] :
                            ( ~ ( p112(X67)
                                & ~ p113(X67)
                                & ~ p13(X67) )
                            | ~ r1(X1,X67) ) ) )
                  & ( ~ ( p112(X1)
                        & ~ p113(X1) )
                    | ( ~ ! [X68] :
                            ( ~ ( p113(X68)
                                & ~ p114(X68)
                                & p14(X68) )
                            | ~ r1(X1,X68) )
                      & ~ ! [X69] :
                            ( ~ ( p113(X69)
                                & ~ p114(X69)
                                & ~ p14(X69) )
                            | ~ r1(X1,X69) ) ) )
                  & ( ~ ( p113(X1)
                        & ~ p114(X1) )
                    | ( ~ ! [X70] :
                            ( ~ ( p114(X70)
                                & ~ p115(X70)
                                & p15(X70) )
                            | ~ r1(X1,X70) )
                      & ~ ! [X71] :
                            ( ~ ( p114(X71)
                                & ~ p115(X71)
                                & ~ p15(X71) )
                            | ~ r1(X1,X71) ) ) )
                  & ( ~ ( p114(X1)
                        & ~ p115(X1) )
                    | ( ~ ! [X72] :
                            ( ~ ( p115(X72)
                                & ~ p116(X72)
                                & p16(X72) )
                            | ~ r1(X1,X72) )
                      & ~ ! [X73] :
                            ( ~ ( p115(X73)
                                & ~ p116(X73)
                                & ~ p16(X73) )
                            | ~ r1(X1,X73) ) ) )
                  & ( ~ ( p115(X1)
                        & ~ p116(X1) )
                    | ( ~ ! [X74] :
                            ( ~ ( p116(X74)
                                & ~ p117(X74)
                                & p17(X74) )
                            | ~ r1(X1,X74) )
                      & ~ ! [X75] :
                            ( ~ ( p116(X75)
                                & ~ p117(X75)
                                & ~ p17(X75) )
                            | ~ r1(X1,X75) ) ) )
                  & ( ~ ( p116(X1)
                        & ~ p117(X1) )
                    | ( ~ ! [X76] :
                            ( ~ ( p117(X76)
                                & ~ p118(X76)
                                & p18(X76) )
                            | ~ r1(X1,X76) )
                      & ~ ! [X77] :
                            ( ~ ( p117(X77)
                                & ~ p118(X77)
                                & ~ p18(X77) )
                            | ~ r1(X1,X77) ) ) )
                  & ( ~ ( p117(X1)
                        & ~ p118(X1) )
                    | ( ~ ! [X78] :
                            ( ~ ( p118(X78)
                                & ~ p119(X78)
                                & p19(X78) )
                            | ~ r1(X1,X78) )
                      & ~ ! [X79] :
                            ( ~ ( p118(X79)
                                & ~ p119(X79)
                                & ~ p19(X79) )
                            | ~ r1(X1,X79) ) ) )
                  & ( ~ ( p118(X1)
                        & ~ p119(X1) )
                    | ( ~ ! [X80] :
                            ( ~ ( p119(X80)
                                & ~ p120(X80)
                                & p20(X80) )
                            | ~ r1(X1,X80) )
                      & ~ ! [X81] :
                            ( ~ ( p119(X81)
                                & ~ p120(X81)
                                & ~ p20(X81) )
                            | ~ r1(X1,X81) ) ) )
                  & ( ~ ( p119(X1)
                        & ~ p120(X1) )
                    | ( ~ ! [X82] :
                            ( ~ ( p120(X82)
                                & p21(X82) )
                            | ~ r1(X1,X82) )
                      & ~ ! [X83] :
                            ( ~ ( p120(X83)
                                & ~ p21(X83) )
                            | ~ r1(X1,X83) ) ) ) )
                | ~ r1(X0,X1) ) )
        | ~ ! [X84] :
              ( p8(X84)
              | ~ r1(X0,X84) ) ),
    inference(pure_predicate_removal,[],[f6]) ).

fof(f6,plain,
    ? [X0] :
      ~ ( ~ ( p100(X0)
            & ~ p101(X0)
            & ! [X1] :
                ( ( ( ~ p101(X1)
                    | p100(X1) )
                  & ( ~ p102(X1)
                    | p101(X1) )
                  & ( ~ p103(X1)
                    | p102(X1) )
                  & ( ~ p104(X1)
                    | p103(X1) )
                  & ( ~ p105(X1)
                    | p104(X1) )
                  & ( ~ p106(X1)
                    | p105(X1) )
                  & ( ~ p107(X1)
                    | p106(X1) )
                  & ( ~ p108(X1)
                    | p107(X1) )
                  & ( ~ p109(X1)
                    | p108(X1) )
                  & ( ~ p110(X1)
                    | p109(X1) )
                  & ( ~ p111(X1)
                    | p110(X1) )
                  & ( ~ p112(X1)
                    | p111(X1) )
                  & ( ~ p113(X1)
                    | p112(X1) )
                  & ( ~ p114(X1)
                    | p113(X1) )
                  & ( ~ p115(X1)
                    | p114(X1) )
                  & ( ~ p116(X1)
                    | p115(X1) )
                  & ( ~ p117(X1)
                    | p116(X1) )
                  & ( ~ p118(X1)
                    | p117(X1) )
                  & ( ~ p119(X1)
                    | p118(X1) )
                  & ( ~ p120(X1)
                    | p119(X1) )
                  & ( ~ p121(X1)
                    | p120(X1) )
                  & ( ~ p100(X1)
                    | ( ( ~ p1(X1)
                        | ! [X2] :
                            ( ~ p100(X2)
                            | p1(X2)
                            | ~ r1(X1,X2) ) )
                      & ( p1(X1)
                        | ! [X3] :
                            ( ~ p100(X3)
                            | ~ p1(X3)
                            | ~ r1(X1,X3) ) ) ) )
                  & ( ~ p101(X1)
                    | ( ( ~ p2(X1)
                        | ! [X4] :
                            ( ~ p101(X4)
                            | p2(X4)
                            | ~ r1(X1,X4) ) )
                      & ( p2(X1)
                        | ! [X5] :
                            ( ~ p101(X5)
                            | ~ p2(X5)
                            | ~ r1(X1,X5) ) ) ) )
                  & ( ~ p102(X1)
                    | ( ( ~ p3(X1)
                        | ! [X6] :
                            ( ~ p102(X6)
                            | p3(X6)
                            | ~ r1(X1,X6) ) )
                      & ( p3(X1)
                        | ! [X7] :
                            ( ~ p102(X7)
                            | ~ p3(X7)
                            | ~ r1(X1,X7) ) ) ) )
                  & ( ~ p103(X1)
                    | ( ( ~ p4(X1)
                        | ! [X8] :
                            ( ~ p103(X8)
                            | p4(X8)
                            | ~ r1(X1,X8) ) )
                      & ( p4(X1)
                        | ! [X9] :
                            ( ~ p103(X9)
                            | ~ p4(X9)
                            | ~ r1(X1,X9) ) ) ) )
                  & ( ~ p104(X1)
                    | ( ( ~ p5(X1)
                        | ! [X10] :
                            ( ~ p104(X10)
                            | p5(X10)
                            | ~ r1(X1,X10) ) )
                      & ( p5(X1)
                        | ! [X11] :
                            ( ~ p104(X11)
                            | ~ p5(X11)
                            | ~ r1(X1,X11) ) ) ) )
                  & ( ~ p105(X1)
                    | ( ( ~ p6(X1)
                        | ! [X12] :
                            ( ~ p105(X12)
                            | p6(X12)
                            | ~ r1(X1,X12) ) )
                      & ( p6(X1)
                        | ! [X13] :
                            ( ~ p105(X13)
                            | ~ p6(X13)
                            | ~ r1(X1,X13) ) ) ) )
                  & ( ~ p106(X1)
                    | ( ( ~ p7(X1)
                        | ! [X14] :
                            ( ~ p106(X14)
                            | p7(X14)
                            | ~ r1(X1,X14) ) )
                      & ( p7(X1)
                        | ! [X15] :
                            ( ~ p106(X15)
                            | ~ p7(X15)
                            | ~ r1(X1,X15) ) ) ) )
                  & ( ~ p107(X1)
                    | ( ( ~ p8(X1)
                        | ! [X16] :
                            ( ~ p107(X16)
                            | p8(X16)
                            | ~ r1(X1,X16) ) )
                      & ( p8(X1)
                        | ! [X17] :
                            ( ~ p107(X17)
                            | ~ p8(X17)
                            | ~ r1(X1,X17) ) ) ) )
                  & ( ~ p108(X1)
                    | ( ( ~ p9(X1)
                        | ! [X18] :
                            ( ~ p108(X18)
                            | p9(X18)
                            | ~ r1(X1,X18) ) )
                      & ( p9(X1)
                        | ! [X19] :
                            ( ~ p108(X19)
                            | ~ p9(X19)
                            | ~ r1(X1,X19) ) ) ) )
                  & ( ~ p109(X1)
                    | ( ( ~ p10(X1)
                        | ! [X20] :
                            ( ~ p109(X20)
                            | p10(X20)
                            | ~ r1(X1,X20) ) )
                      & ( p10(X1)
                        | ! [X21] :
                            ( ~ p109(X21)
                            | ~ p10(X21)
                            | ~ r1(X1,X21) ) ) ) )
                  & ( ~ p110(X1)
                    | ( ( ~ p11(X1)
                        | ! [X22] :
                            ( ~ p110(X22)
                            | p11(X22)
                            | ~ r1(X1,X22) ) )
                      & ( p11(X1)
                        | ! [X23] :
                            ( ~ p110(X23)
                            | ~ p11(X23)
                            | ~ r1(X1,X23) ) ) ) )
                  & ( ~ p111(X1)
                    | ( ( ~ p12(X1)
                        | ! [X24] :
                            ( ~ p111(X24)
                            | p12(X24)
                            | ~ r1(X1,X24) ) )
                      & ( p12(X1)
                        | ! [X25] :
                            ( ~ p111(X25)
                            | ~ p12(X25)
                            | ~ r1(X1,X25) ) ) ) )
                  & ( ~ p112(X1)
                    | ( ( ~ p13(X1)
                        | ! [X26] :
                            ( ~ p112(X26)
                            | p13(X26)
                            | ~ r1(X1,X26) ) )
                      & ( p13(X1)
                        | ! [X27] :
                            ( ~ p112(X27)
                            | ~ p13(X27)
                            | ~ r1(X1,X27) ) ) ) )
                  & ( ~ p113(X1)
                    | ( ( ~ p14(X1)
                        | ! [X28] :
                            ( ~ p113(X28)
                            | p14(X28)
                            | ~ r1(X1,X28) ) )
                      & ( p14(X1)
                        | ! [X29] :
                            ( ~ p113(X29)
                            | ~ p14(X29)
                            | ~ r1(X1,X29) ) ) ) )
                  & ( ~ p114(X1)
                    | ( ( ~ p15(X1)
                        | ! [X30] :
                            ( ~ p114(X30)
                            | p15(X30)
                            | ~ r1(X1,X30) ) )
                      & ( p15(X1)
                        | ! [X31] :
                            ( ~ p114(X31)
                            | ~ p15(X31)
                            | ~ r1(X1,X31) ) ) ) )
                  & ( ~ p115(X1)
                    | ( ( ~ p16(X1)
                        | ! [X32] :
                            ( ~ p115(X32)
                            | p16(X32)
                            | ~ r1(X1,X32) ) )
                      & ( p16(X1)
                        | ! [X33] :
                            ( ~ p115(X33)
                            | ~ p16(X33)
                            | ~ r1(X1,X33) ) ) ) )
                  & ( ~ p116(X1)
                    | ( ( ~ p17(X1)
                        | ! [X34] :
                            ( ~ p116(X34)
                            | p17(X34)
                            | ~ r1(X1,X34) ) )
                      & ( p17(X1)
                        | ! [X35] :
                            ( ~ p116(X35)
                            | ~ p17(X35)
                            | ~ r1(X1,X35) ) ) ) )
                  & ( ~ p117(X1)
                    | ( ( ~ p18(X1)
                        | ! [X36] :
                            ( ~ p117(X36)
                            | p18(X36)
                            | ~ r1(X1,X36) ) )
                      & ( p18(X1)
                        | ! [X37] :
                            ( ~ p117(X37)
                            | ~ p18(X37)
                            | ~ r1(X1,X37) ) ) ) )
                  & ( ~ p118(X1)
                    | ( ( ~ p19(X1)
                        | ! [X38] :
                            ( ~ p118(X38)
                            | p19(X38)
                            | ~ r1(X1,X38) ) )
                      & ( p19(X1)
                        | ! [X39] :
                            ( ~ p118(X39)
                            | ~ p19(X39)
                            | ~ r1(X1,X39) ) ) ) )
                  & ( ~ p119(X1)
                    | ( ( ~ p20(X1)
                        | ! [X40] :
                            ( ~ p119(X40)
                            | p20(X40)
                            | ~ r1(X1,X40) ) )
                      & ( p20(X1)
                        | ! [X41] :
                            ( ~ p119(X41)
                            | ~ p20(X41)
                            | ~ r1(X1,X41) ) ) ) )
                  & ( ~ p120(X1)
                    | ( ( ~ p21(X1)
                        | ! [X42] :
                            ( ~ p120(X42)
                            | p21(X42)
                            | ~ r1(X1,X42) ) )
                      & ( p21(X1)
                        | ! [X43] :
                            ( ~ p120(X43)
                            | ~ p21(X43)
                            | ~ r1(X1,X43) ) ) ) )
                  & ( ~ ( p100(X1)
                        & ~ p101(X1) )
                    | ( ~ ! [X44] :
                            ( ~ ( p101(X44)
                                & ~ p102(X44)
                                & p2(X44) )
                            | ~ r1(X1,X44) )
                      & ~ ! [X45] :
                            ( ~ ( p101(X45)
                                & ~ p102(X45)
                                & ~ p2(X45) )
                            | ~ r1(X1,X45) ) ) )
                  & ( ~ ( p101(X1)
                        & ~ p102(X1) )
                    | ( ~ ! [X46] :
                            ( ~ ( p102(X46)
                                & ~ p103(X46)
                                & p3(X46) )
                            | ~ r1(X1,X46) )
                      & ~ ! [X47] :
                            ( ~ ( p102(X47)
                                & ~ p103(X47)
                                & ~ p3(X47) )
                            | ~ r1(X1,X47) ) ) )
                  & ( ~ ( p102(X1)
                        & ~ p103(X1) )
                    | ( ~ ! [X48] :
                            ( ~ ( p103(X48)
                                & ~ p104(X48)
                                & p4(X48) )
                            | ~ r1(X1,X48) )
                      & ~ ! [X49] :
                            ( ~ ( p103(X49)
                                & ~ p104(X49)
                                & ~ p4(X49) )
                            | ~ r1(X1,X49) ) ) )
                  & ( ~ ( p103(X1)
                        & ~ p104(X1) )
                    | ( ~ ! [X50] :
                            ( ~ ( p104(X50)
                                & ~ p105(X50)
                                & p5(X50) )
                            | ~ r1(X1,X50) )
                      & ~ ! [X51] :
                            ( ~ ( p104(X51)
                                & ~ p105(X51)
                                & ~ p5(X51) )
                            | ~ r1(X1,X51) ) ) )
                  & ( ~ ( p104(X1)
                        & ~ p105(X1) )
                    | ( ~ ! [X52] :
                            ( ~ ( p105(X52)
                                & ~ p106(X52)
                                & p6(X52) )
                            | ~ r1(X1,X52) )
                      & ~ ! [X53] :
                            ( ~ ( p105(X53)
                                & ~ p106(X53)
                                & ~ p6(X53) )
                            | ~ r1(X1,X53) ) ) )
                  & ( ~ ( p105(X1)
                        & ~ p106(X1) )
                    | ( ~ ! [X54] :
                            ( ~ ( p106(X54)
                                & ~ p107(X54)
                                & p7(X54) )
                            | ~ r1(X1,X54) )
                      & ~ ! [X55] :
                            ( ~ ( p106(X55)
                                & ~ p107(X55)
                                & ~ p7(X55) )
                            | ~ r1(X1,X55) ) ) )
                  & ( ~ ( p106(X1)
                        & ~ p107(X1) )
                    | ( ~ ! [X56] :
                            ( ~ ( p107(X56)
                                & ~ p108(X56)
                                & p8(X56) )
                            | ~ r1(X1,X56) )
                      & ~ ! [X57] :
                            ( ~ ( p107(X57)
                                & ~ p108(X57)
                                & ~ p8(X57) )
                            | ~ r1(X1,X57) ) ) )
                  & ( ~ ( p107(X1)
                        & ~ p108(X1) )
                    | ( ~ ! [X58] :
                            ( ~ ( p108(X58)
                                & ~ p109(X58)
                                & p9(X58) )
                            | ~ r1(X1,X58) )
                      & ~ ! [X59] :
                            ( ~ ( p108(X59)
                                & ~ p109(X59)
                                & ~ p9(X59) )
                            | ~ r1(X1,X59) ) ) )
                  & ( ~ ( p108(X1)
                        & ~ p109(X1) )
                    | ( ~ ! [X60] :
                            ( ~ ( p109(X60)
                                & ~ p110(X60)
                                & p10(X60) )
                            | ~ r1(X1,X60) )
                      & ~ ! [X61] :
                            ( ~ ( p109(X61)
                                & ~ p110(X61)
                                & ~ p10(X61) )
                            | ~ r1(X1,X61) ) ) )
                  & ( ~ ( p109(X1)
                        & ~ p110(X1) )
                    | ( ~ ! [X62] :
                            ( ~ ( p110(X62)
                                & ~ p111(X62)
                                & p11(X62) )
                            | ~ r1(X1,X62) )
                      & ~ ! [X63] :
                            ( ~ ( p110(X63)
                                & ~ p111(X63)
                                & ~ p11(X63) )
                            | ~ r1(X1,X63) ) ) )
                  & ( ~ ( p110(X1)
                        & ~ p111(X1) )
                    | ( ~ ! [X64] :
                            ( ~ ( p111(X64)
                                & ~ p112(X64)
                                & p12(X64) )
                            | ~ r1(X1,X64) )
                      & ~ ! [X65] :
                            ( ~ ( p111(X65)
                                & ~ p112(X65)
                                & ~ p12(X65) )
                            | ~ r1(X1,X65) ) ) )
                  & ( ~ ( p111(X1)
                        & ~ p112(X1) )
                    | ( ~ ! [X66] :
                            ( ~ ( p112(X66)
                                & ~ p113(X66)
                                & p13(X66) )
                            | ~ r1(X1,X66) )
                      & ~ ! [X67] :
                            ( ~ ( p112(X67)
                                & ~ p113(X67)
                                & ~ p13(X67) )
                            | ~ r1(X1,X67) ) ) )
                  & ( ~ ( p112(X1)
                        & ~ p113(X1) )
                    | ( ~ ! [X68] :
                            ( ~ ( p113(X68)
                                & ~ p114(X68)
                                & p14(X68) )
                            | ~ r1(X1,X68) )
                      & ~ ! [X69] :
                            ( ~ ( p113(X69)
                                & ~ p114(X69)
                                & ~ p14(X69) )
                            | ~ r1(X1,X69) ) ) )
                  & ( ~ ( p113(X1)
                        & ~ p114(X1) )
                    | ( ~ ! [X70] :
                            ( ~ ( p114(X70)
                                & ~ p115(X70)
                                & p15(X70) )
                            | ~ r1(X1,X70) )
                      & ~ ! [X71] :
                            ( ~ ( p114(X71)
                                & ~ p115(X71)
                                & ~ p15(X71) )
                            | ~ r1(X1,X71) ) ) )
                  & ( ~ ( p114(X1)
                        & ~ p115(X1) )
                    | ( ~ ! [X72] :
                            ( ~ ( p115(X72)
                                & ~ p116(X72)
                                & p16(X72) )
                            | ~ r1(X1,X72) )
                      & ~ ! [X73] :
                            ( ~ ( p115(X73)
                                & ~ p116(X73)
                                & ~ p16(X73) )
                            | ~ r1(X1,X73) ) ) )
                  & ( ~ ( p115(X1)
                        & ~ p116(X1) )
                    | ( ~ ! [X74] :
                            ( ~ ( p116(X74)
                                & ~ p117(X74)
                                & p17(X74) )
                            | ~ r1(X1,X74) )
                      & ~ ! [X75] :
                            ( ~ ( p116(X75)
                                & ~ p117(X75)
                                & ~ p17(X75) )
                            | ~ r1(X1,X75) ) ) )
                  & ( ~ ( p116(X1)
                        & ~ p117(X1) )
                    | ( ~ ! [X76] :
                            ( ~ ( p117(X76)
                                & ~ p118(X76)
                                & p18(X76) )
                            | ~ r1(X1,X76) )
                      & ~ ! [X77] :
                            ( ~ ( p117(X77)
                                & ~ p118(X77)
                                & ~ p18(X77) )
                            | ~ r1(X1,X77) ) ) )
                  & ( ~ ( p117(X1)
                        & ~ p118(X1) )
                    | ( ~ ! [X78] :
                            ( ~ ( p118(X78)
                                & ~ p119(X78)
                                & p19(X78) )
                            | ~ r1(X1,X78) )
                      & ~ ! [X79] :
                            ( ~ ( p118(X79)
                                & ~ p119(X79)
                                & ~ p19(X79) )
                            | ~ r1(X1,X79) ) ) )
                  & ( ~ ( p118(X1)
                        & ~ p119(X1) )
                    | ( ~ ! [X80] :
                            ( ~ ( p119(X80)
                                & ~ p120(X80)
                                & p20(X80) )
                            | ~ r1(X1,X80) )
                      & ~ ! [X81] :
                            ( ~ ( p119(X81)
                                & ~ p120(X81)
                                & ~ p20(X81) )
                            | ~ r1(X1,X81) ) ) )
                  & ( ~ ( p119(X1)
                        & ~ p120(X1) )
                    | ( ~ ! [X82] :
                            ( ~ ( p120(X82)
                                & ~ p121(X82)
                                & p21(X82) )
                            | ~ r1(X1,X82) )
                      & ~ ! [X83] :
                            ( ~ ( p120(X83)
                                & ~ p121(X83)
                                & ~ p21(X83) )
                            | ~ r1(X1,X83) ) ) ) )
                | ~ r1(X0,X1) ) )
        | ~ ! [X84] :
              ( p8(X84)
              | ~ r1(X0,X84) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ( p100(X0)
                & ~ p101(X0)
                & ! [X1] :
                    ( ( ( ~ p101(X1)
                        | p100(X1) )
                      & ( ~ p102(X1)
                        | p101(X1) )
                      & ( ~ p103(X1)
                        | p102(X1) )
                      & ( ~ p104(X1)
                        | p103(X1) )
                      & ( ~ p105(X1)
                        | p104(X1) )
                      & ( ~ p106(X1)
                        | p105(X1) )
                      & ( ~ p107(X1)
                        | p106(X1) )
                      & ( ~ p108(X1)
                        | p107(X1) )
                      & ( ~ p109(X1)
                        | p108(X1) )
                      & ( ~ p110(X1)
                        | p109(X1) )
                      & ( ~ p111(X1)
                        | p110(X1) )
                      & ( ~ p112(X1)
                        | p111(X1) )
                      & ( ~ p113(X1)
                        | p112(X1) )
                      & ( ~ p114(X1)
                        | p113(X1) )
                      & ( ~ p115(X1)
                        | p114(X1) )
                      & ( ~ p116(X1)
                        | p115(X1) )
                      & ( ~ p117(X1)
                        | p116(X1) )
                      & ( ~ p118(X1)
                        | p117(X1) )
                      & ( ~ p119(X1)
                        | p118(X1) )
                      & ( ~ p120(X1)
                        | p119(X1) )
                      & ( ~ p121(X1)
                        | p120(X1) )
                      & ( ~ p100(X1)
                        | ( ( ~ p1(X1)
                            | ! [X2] :
                                ( ~ p100(X2)
                                | p1(X2)
                                | ~ r1(X1,X2) ) )
                          & ( p1(X1)
                            | ! [X3] :
                                ( ~ p100(X3)
                                | ~ p1(X3)
                                | ~ r1(X1,X3) ) ) ) )
                      & ( ~ p101(X1)
                        | ( ( ~ p2(X1)
                            | ! [X4] :
                                ( ~ p101(X4)
                                | p2(X4)
                                | ~ r1(X1,X4) ) )
                          & ( p2(X1)
                            | ! [X5] :
                                ( ~ p101(X5)
                                | ~ p2(X5)
                                | ~ r1(X1,X5) ) ) ) )
                      & ( ~ p102(X1)
                        | ( ( ~ p3(X1)
                            | ! [X6] :
                                ( ~ p102(X6)
                                | p3(X6)
                                | ~ r1(X1,X6) ) )
                          & ( p3(X1)
                            | ! [X7] :
                                ( ~ p102(X7)
                                | ~ p3(X7)
                                | ~ r1(X1,X7) ) ) ) )
                      & ( ~ p103(X1)
                        | ( ( ~ p4(X1)
                            | ! [X8] :
                                ( ~ p103(X8)
                                | p4(X8)
                                | ~ r1(X1,X8) ) )
                          & ( p4(X1)
                            | ! [X9] :
                                ( ~ p103(X9)
                                | ~ p4(X9)
                                | ~ r1(X1,X9) ) ) ) )
                      & ( ~ p104(X1)
                        | ( ( ~ p5(X1)
                            | ! [X10] :
                                ( ~ p104(X10)
                                | p5(X10)
                                | ~ r1(X1,X10) ) )
                          & ( p5(X1)
                            | ! [X11] :
                                ( ~ p104(X11)
                                | ~ p5(X11)
                                | ~ r1(X1,X11) ) ) ) )
                      & ( ~ p105(X1)
                        | ( ( ~ p6(X1)
                            | ! [X12] :
                                ( ~ p105(X12)
                                | p6(X12)
                                | ~ r1(X1,X12) ) )
                          & ( p6(X1)
                            | ! [X13] :
                                ( ~ p105(X13)
                                | ~ p6(X13)
                                | ~ r1(X1,X13) ) ) ) )
                      & ( ~ p106(X1)
                        | ( ( ~ p7(X1)
                            | ! [X14] :
                                ( ~ p106(X14)
                                | p7(X14)
                                | ~ r1(X1,X14) ) )
                          & ( p7(X1)
                            | ! [X15] :
                                ( ~ p106(X15)
                                | ~ p7(X15)
                                | ~ r1(X1,X15) ) ) ) )
                      & ( ~ p107(X1)
                        | ( ( ~ p8(X1)
                            | ! [X16] :
                                ( ~ p107(X16)
                                | p8(X16)
                                | ~ r1(X1,X16) ) )
                          & ( p8(X1)
                            | ! [X17] :
                                ( ~ p107(X17)
                                | ~ p8(X17)
                                | ~ r1(X1,X17) ) ) ) )
                      & ( ~ p108(X1)
                        | ( ( ~ p9(X1)
                            | ! [X18] :
                                ( ~ p108(X18)
                                | p9(X18)
                                | ~ r1(X1,X18) ) )
                          & ( p9(X1)
                            | ! [X19] :
                                ( ~ p108(X19)
                                | ~ p9(X19)
                                | ~ r1(X1,X19) ) ) ) )
                      & ( ~ p109(X1)
                        | ( ( ~ p10(X1)
                            | ! [X20] :
                                ( ~ p109(X20)
                                | p10(X20)
                                | ~ r1(X1,X20) ) )
                          & ( p10(X1)
                            | ! [X21] :
                                ( ~ p109(X21)
                                | ~ p10(X21)
                                | ~ r1(X1,X21) ) ) ) )
                      & ( ~ p110(X1)
                        | ( ( ~ p11(X1)
                            | ! [X22] :
                                ( ~ p110(X22)
                                | p11(X22)
                                | ~ r1(X1,X22) ) )
                          & ( p11(X1)
                            | ! [X23] :
                                ( ~ p110(X23)
                                | ~ p11(X23)
                                | ~ r1(X1,X23) ) ) ) )
                      & ( ~ p111(X1)
                        | ( ( ~ p12(X1)
                            | ! [X24] :
                                ( ~ p111(X24)
                                | p12(X24)
                                | ~ r1(X1,X24) ) )
                          & ( p12(X1)
                            | ! [X25] :
                                ( ~ p111(X25)
                                | ~ p12(X25)
                                | ~ r1(X1,X25) ) ) ) )
                      & ( ~ p112(X1)
                        | ( ( ~ p13(X1)
                            | ! [X26] :
                                ( ~ p112(X26)
                                | p13(X26)
                                | ~ r1(X1,X26) ) )
                          & ( p13(X1)
                            | ! [X27] :
                                ( ~ p112(X27)
                                | ~ p13(X27)
                                | ~ r1(X1,X27) ) ) ) )
                      & ( ~ p113(X1)
                        | ( ( ~ p14(X1)
                            | ! [X28] :
                                ( ~ p113(X28)
                                | p14(X28)
                                | ~ r1(X1,X28) ) )
                          & ( p14(X1)
                            | ! [X29] :
                                ( ~ p113(X29)
                                | ~ p14(X29)
                                | ~ r1(X1,X29) ) ) ) )
                      & ( ~ p114(X1)
                        | ( ( ~ p15(X1)
                            | ! [X30] :
                                ( ~ p114(X30)
                                | p15(X30)
                                | ~ r1(X1,X30) ) )
                          & ( p15(X1)
                            | ! [X31] :
                                ( ~ p114(X31)
                                | ~ p15(X31)
                                | ~ r1(X1,X31) ) ) ) )
                      & ( ~ p115(X1)
                        | ( ( ~ p16(X1)
                            | ! [X32] :
                                ( ~ p115(X32)
                                | p16(X32)
                                | ~ r1(X1,X32) ) )
                          & ( p16(X1)
                            | ! [X33] :
                                ( ~ p115(X33)
                                | ~ p16(X33)
                                | ~ r1(X1,X33) ) ) ) )
                      & ( ~ p116(X1)
                        | ( ( ~ p17(X1)
                            | ! [X34] :
                                ( ~ p116(X34)
                                | p17(X34)
                                | ~ r1(X1,X34) ) )
                          & ( p17(X1)
                            | ! [X35] :
                                ( ~ p116(X35)
                                | ~ p17(X35)
                                | ~ r1(X1,X35) ) ) ) )
                      & ( ~ p117(X1)
                        | ( ( ~ p18(X1)
                            | ! [X36] :
                                ( ~ p117(X36)
                                | p18(X36)
                                | ~ r1(X1,X36) ) )
                          & ( p18(X1)
                            | ! [X37] :
                                ( ~ p117(X37)
                                | ~ p18(X37)
                                | ~ r1(X1,X37) ) ) ) )
                      & ( ~ p118(X1)
                        | ( ( ~ p19(X1)
                            | ! [X38] :
                                ( ~ p118(X38)
                                | p19(X38)
                                | ~ r1(X1,X38) ) )
                          & ( p19(X1)
                            | ! [X39] :
                                ( ~ p118(X39)
                                | ~ p19(X39)
                                | ~ r1(X1,X39) ) ) ) )
                      & ( ~ p119(X1)
                        | ( ( ~ p20(X1)
                            | ! [X40] :
                                ( ~ p119(X40)
                                | p20(X40)
                                | ~ r1(X1,X40) ) )
                          & ( p20(X1)
                            | ! [X41] :
                                ( ~ p119(X41)
                                | ~ p20(X41)
                                | ~ r1(X1,X41) ) ) ) )
                      & ( ~ p120(X1)
                        | ( ( ~ p21(X1)
                            | ! [X42] :
                                ( ~ p120(X42)
                                | p21(X42)
                                | ~ r1(X1,X42) ) )
                          & ( p21(X1)
                            | ! [X43] :
                                ( ~ p120(X43)
                                | ~ p21(X43)
                                | ~ r1(X1,X43) ) ) ) )
                      & ( ~ ( p100(X1)
                            & ~ p101(X1) )
                        | ( ~ ! [X44] :
                                ( ~ ( p101(X44)
                                    & ~ p102(X44)
                                    & p2(X44) )
                                | ~ r1(X1,X44) )
                          & ~ ! [X45] :
                                ( ~ ( p101(X45)
                                    & ~ p102(X45)
                                    & ~ p2(X45) )
                                | ~ r1(X1,X45) ) ) )
                      & ( ~ ( p101(X1)
                            & ~ p102(X1) )
                        | ( ~ ! [X46] :
                                ( ~ ( p102(X46)
                                    & ~ p103(X46)
                                    & p3(X46) )
                                | ~ r1(X1,X46) )
                          & ~ ! [X47] :
                                ( ~ ( p102(X47)
                                    & ~ p103(X47)
                                    & ~ p3(X47) )
                                | ~ r1(X1,X47) ) ) )
                      & ( ~ ( p102(X1)
                            & ~ p103(X1) )
                        | ( ~ ! [X48] :
                                ( ~ ( p103(X48)
                                    & ~ p104(X48)
                                    & p4(X48) )
                                | ~ r1(X1,X48) )
                          & ~ ! [X49] :
                                ( ~ ( p103(X49)
                                    & ~ p104(X49)
                                    & ~ p4(X49) )
                                | ~ r1(X1,X49) ) ) )
                      & ( ~ ( p103(X1)
                            & ~ p104(X1) )
                        | ( ~ ! [X50] :
                                ( ~ ( p104(X50)
                                    & ~ p105(X50)
                                    & p5(X50) )
                                | ~ r1(X1,X50) )
                          & ~ ! [X51] :
                                ( ~ ( p104(X51)
                                    & ~ p105(X51)
                                    & ~ p5(X51) )
                                | ~ r1(X1,X51) ) ) )
                      & ( ~ ( p104(X1)
                            & ~ p105(X1) )
                        | ( ~ ! [X52] :
                                ( ~ ( p105(X52)
                                    & ~ p106(X52)
                                    & p6(X52) )
                                | ~ r1(X1,X52) )
                          & ~ ! [X53] :
                                ( ~ ( p105(X53)
                                    & ~ p106(X53)
                                    & ~ p6(X53) )
                                | ~ r1(X1,X53) ) ) )
                      & ( ~ ( p105(X1)
                            & ~ p106(X1) )
                        | ( ~ ! [X54] :
                                ( ~ ( p106(X54)
                                    & ~ p107(X54)
                                    & p7(X54) )
                                | ~ r1(X1,X54) )
                          & ~ ! [X55] :
                                ( ~ ( p106(X55)
                                    & ~ p107(X55)
                                    & ~ p7(X55) )
                                | ~ r1(X1,X55) ) ) )
                      & ( ~ ( p106(X1)
                            & ~ p107(X1) )
                        | ( ~ ! [X56] :
                                ( ~ ( p107(X56)
                                    & ~ p108(X56)
                                    & p8(X56) )
                                | ~ r1(X1,X56) )
                          & ~ ! [X57] :
                                ( ~ ( p107(X57)
                                    & ~ p108(X57)
                                    & ~ p8(X57) )
                                | ~ r1(X1,X57) ) ) )
                      & ( ~ ( p107(X1)
                            & ~ p108(X1) )
                        | ( ~ ! [X58] :
                                ( ~ ( p108(X58)
                                    & ~ p109(X58)
                                    & p9(X58) )
                                | ~ r1(X1,X58) )
                          & ~ ! [X59] :
                                ( ~ ( p108(X59)
                                    & ~ p109(X59)
                                    & ~ p9(X59) )
                                | ~ r1(X1,X59) ) ) )
                      & ( ~ ( p108(X1)
                            & ~ p109(X1) )
                        | ( ~ ! [X60] :
                                ( ~ ( p109(X60)
                                    & ~ p110(X60)
                                    & p10(X60) )
                                | ~ r1(X1,X60) )
                          & ~ ! [X61] :
                                ( ~ ( p109(X61)
                                    & ~ p110(X61)
                                    & ~ p10(X61) )
                                | ~ r1(X1,X61) ) ) )
                      & ( ~ ( p109(X1)
                            & ~ p110(X1) )
                        | ( ~ ! [X62] :
                                ( ~ ( p110(X62)
                                    & ~ p111(X62)
                                    & p11(X62) )
                                | ~ r1(X1,X62) )
                          & ~ ! [X63] :
                                ( ~ ( p110(X63)
                                    & ~ p111(X63)
                                    & ~ p11(X63) )
                                | ~ r1(X1,X63) ) ) )
                      & ( ~ ( p110(X1)
                            & ~ p111(X1) )
                        | ( ~ ! [X64] :
                                ( ~ ( p111(X64)
                                    & ~ p112(X64)
                                    & p12(X64) )
                                | ~ r1(X1,X64) )
                          & ~ ! [X65] :
                                ( ~ ( p111(X65)
                                    & ~ p112(X65)
                                    & ~ p12(X65) )
                                | ~ r1(X1,X65) ) ) )
                      & ( ~ ( p111(X1)
                            & ~ p112(X1) )
                        | ( ~ ! [X66] :
                                ( ~ ( p112(X66)
                                    & ~ p113(X66)
                                    & p13(X66) )
                                | ~ r1(X1,X66) )
                          & ~ ! [X67] :
                                ( ~ ( p112(X67)
                                    & ~ p113(X67)
                                    & ~ p13(X67) )
                                | ~ r1(X1,X67) ) ) )
                      & ( ~ ( p112(X1)
                            & ~ p113(X1) )
                        | ( ~ ! [X68] :
                                ( ~ ( p113(X68)
                                    & ~ p114(X68)
                                    & p14(X68) )
                                | ~ r1(X1,X68) )
                          & ~ ! [X69] :
                                ( ~ ( p113(X69)
                                    & ~ p114(X69)
                                    & ~ p14(X69) )
                                | ~ r1(X1,X69) ) ) )
                      & ( ~ ( p113(X1)
                            & ~ p114(X1) )
                        | ( ~ ! [X70] :
                                ( ~ ( p114(X70)
                                    & ~ p115(X70)
                                    & p15(X70) )
                                | ~ r1(X1,X70) )
                          & ~ ! [X71] :
                                ( ~ ( p114(X71)
                                    & ~ p115(X71)
                                    & ~ p15(X71) )
                                | ~ r1(X1,X71) ) ) )
                      & ( ~ ( p114(X1)
                            & ~ p115(X1) )
                        | ( ~ ! [X72] :
                                ( ~ ( p115(X72)
                                    & ~ p116(X72)
                                    & p16(X72) )
                                | ~ r1(X1,X72) )
                          & ~ ! [X73] :
                                ( ~ ( p115(X73)
                                    & ~ p116(X73)
                                    & ~ p16(X73) )
                                | ~ r1(X1,X73) ) ) )
                      & ( ~ ( p115(X1)
                            & ~ p116(X1) )
                        | ( ~ ! [X74] :
                                ( ~ ( p116(X74)
                                    & ~ p117(X74)
                                    & p17(X74) )
                                | ~ r1(X1,X74) )
                          & ~ ! [X75] :
                                ( ~ ( p116(X75)
                                    & ~ p117(X75)
                                    & ~ p17(X75) )
                                | ~ r1(X1,X75) ) ) )
                      & ( ~ ( p116(X1)
                            & ~ p117(X1) )
                        | ( ~ ! [X76] :
                                ( ~ ( p117(X76)
                                    & ~ p118(X76)
                                    & p18(X76) )
                                | ~ r1(X1,X76) )
                          & ~ ! [X77] :
                                ( ~ ( p117(X77)
                                    & ~ p118(X77)
                                    & ~ p18(X77) )
                                | ~ r1(X1,X77) ) ) )
                      & ( ~ ( p117(X1)
                            & ~ p118(X1) )
                        | ( ~ ! [X78] :
                                ( ~ ( p118(X78)
                                    & ~ p119(X78)
                                    & p19(X78) )
                                | ~ r1(X1,X78) )
                          & ~ ! [X79] :
                                ( ~ ( p118(X79)
                                    & ~ p119(X79)
                                    & ~ p19(X79) )
                                | ~ r1(X1,X79) ) ) )
                      & ( ~ ( p118(X1)
                            & ~ p119(X1) )
                        | ( ~ ! [X80] :
                                ( ~ ( p119(X80)
                                    & ~ p120(X80)
                                    & p20(X80) )
                                | ~ r1(X1,X80) )
                          & ~ ! [X81] :
                                ( ~ ( p119(X81)
                                    & ~ p120(X81)
                                    & ~ p20(X81) )
                                | ~ r1(X1,X81) ) ) )
                      & ( ~ ( p119(X1)
                            & ~ p120(X1) )
                        | ( ~ ! [X82] :
                                ( ~ ( p120(X82)
                                    & ~ p121(X82)
                                    & p21(X82) )
                                | ~ r1(X1,X82) )
                          & ~ ! [X83] :
                                ( ~ ( p120(X83)
                                    & ~ p121(X83)
                                    & ~ p21(X83) )
                                | ~ r1(X1,X83) ) ) ) )
                    | ~ r1(X0,X1) ) )
            | ~ ! [X84] :
                  ( p8(X84)
                  | ~ r1(X0,X84) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ( p100(X0)
                & ~ p101(X0)
                & ! [X1] :
                    ( ( ( ~ p101(X1)
                        | p100(X1) )
                      & ( ~ p102(X1)
                        | p101(X1) )
                      & ( ~ p103(X1)
                        | p102(X1) )
                      & ( ~ p104(X1)
                        | p103(X1) )
                      & ( ~ p105(X1)
                        | p104(X1) )
                      & ( ~ p106(X1)
                        | p105(X1) )
                      & ( ~ p107(X1)
                        | p106(X1) )
                      & ( ~ p108(X1)
                        | p107(X1) )
                      & ( ~ p109(X1)
                        | p108(X1) )
                      & ( ~ p110(X1)
                        | p109(X1) )
                      & ( ~ p111(X1)
                        | p110(X1) )
                      & ( ~ p112(X1)
                        | p111(X1) )
                      & ( ~ p113(X1)
                        | p112(X1) )
                      & ( ~ p114(X1)
                        | p113(X1) )
                      & ( ~ p115(X1)
                        | p114(X1) )
                      & ( ~ p116(X1)
                        | p115(X1) )
                      & ( ~ p117(X1)
                        | p116(X1) )
                      & ( ~ p118(X1)
                        | p117(X1) )
                      & ( ~ p119(X1)
                        | p118(X1) )
                      & ( ~ p120(X1)
                        | p119(X1) )
                      & ( ~ p121(X1)
                        | p120(X1) )
                      & ( ~ p100(X1)
                        | ( ( ~ p1(X1)
                            | ! [X0] :
                                ( ~ p100(X0)
                                | p1(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p1(X1)
                            | ! [X0] :
                                ( ~ p100(X0)
                                | ~ p1(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p101(X1)
                        | ( ( ~ p2(X1)
                            | ! [X0] :
                                ( ~ p101(X0)
                                | p2(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p2(X1)
                            | ! [X0] :
                                ( ~ p101(X0)
                                | ~ p2(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p102(X1)
                        | ( ( ~ p3(X1)
                            | ! [X0] :
                                ( ~ p102(X0)
                                | p3(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p3(X1)
                            | ! [X0] :
                                ( ~ p102(X0)
                                | ~ p3(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p103(X1)
                        | ( ( ~ p4(X1)
                            | ! [X0] :
                                ( ~ p103(X0)
                                | p4(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p4(X1)
                            | ! [X0] :
                                ( ~ p103(X0)
                                | ~ p4(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p104(X1)
                        | ( ( ~ p5(X1)
                            | ! [X0] :
                                ( ~ p104(X0)
                                | p5(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p5(X1)
                            | ! [X0] :
                                ( ~ p104(X0)
                                | ~ p5(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p105(X1)
                        | ( ( ~ p6(X1)
                            | ! [X0] :
                                ( ~ p105(X0)
                                | p6(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p6(X1)
                            | ! [X0] :
                                ( ~ p105(X0)
                                | ~ p6(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p106(X1)
                        | ( ( ~ p7(X1)
                            | ! [X0] :
                                ( ~ p106(X0)
                                | p7(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p7(X1)
                            | ! [X0] :
                                ( ~ p106(X0)
                                | ~ p7(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p107(X1)
                        | ( ( ~ p8(X1)
                            | ! [X0] :
                                ( ~ p107(X0)
                                | p8(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p8(X1)
                            | ! [X0] :
                                ( ~ p107(X0)
                                | ~ p8(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p108(X1)
                        | ( ( ~ p9(X1)
                            | ! [X0] :
                                ( ~ p108(X0)
                                | p9(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p9(X1)
                            | ! [X0] :
                                ( ~ p108(X0)
                                | ~ p9(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p109(X1)
                        | ( ( ~ p10(X1)
                            | ! [X0] :
                                ( ~ p109(X0)
                                | p10(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p10(X1)
                            | ! [X0] :
                                ( ~ p109(X0)
                                | ~ p10(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p110(X1)
                        | ( ( ~ p11(X1)
                            | ! [X0] :
                                ( ~ p110(X0)
                                | p11(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p11(X1)
                            | ! [X0] :
                                ( ~ p110(X0)
                                | ~ p11(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p111(X1)
                        | ( ( ~ p12(X1)
                            | ! [X0] :
                                ( ~ p111(X0)
                                | p12(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p12(X1)
                            | ! [X0] :
                                ( ~ p111(X0)
                                | ~ p12(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p112(X1)
                        | ( ( ~ p13(X1)
                            | ! [X0] :
                                ( ~ p112(X0)
                                | p13(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p13(X1)
                            | ! [X0] :
                                ( ~ p112(X0)
                                | ~ p13(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p113(X1)
                        | ( ( ~ p14(X1)
                            | ! [X0] :
                                ( ~ p113(X0)
                                | p14(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p14(X1)
                            | ! [X0] :
                                ( ~ p113(X0)
                                | ~ p14(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p114(X1)
                        | ( ( ~ p15(X1)
                            | ! [X0] :
                                ( ~ p114(X0)
                                | p15(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p15(X1)
                            | ! [X0] :
                                ( ~ p114(X0)
                                | ~ p15(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p115(X1)
                        | ( ( ~ p16(X1)
                            | ! [X0] :
                                ( ~ p115(X0)
                                | p16(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p16(X1)
                            | ! [X0] :
                                ( ~ p115(X0)
                                | ~ p16(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p116(X1)
                        | ( ( ~ p17(X1)
                            | ! [X0] :
                                ( ~ p116(X0)
                                | p17(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p17(X1)
                            | ! [X0] :
                                ( ~ p116(X0)
                                | ~ p17(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p117(X1)
                        | ( ( ~ p18(X1)
                            | ! [X0] :
                                ( ~ p117(X0)
                                | p18(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p18(X1)
                            | ! [X0] :
                                ( ~ p117(X0)
                                | ~ p18(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p118(X1)
                        | ( ( ~ p19(X1)
                            | ! [X0] :
                                ( ~ p118(X0)
                                | p19(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p19(X1)
                            | ! [X0] :
                                ( ~ p118(X0)
                                | ~ p19(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p119(X1)
                        | ( ( ~ p20(X1)
                            | ! [X0] :
                                ( ~ p119(X0)
                                | p20(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p20(X1)
                            | ! [X0] :
                                ( ~ p119(X0)
                                | ~ p20(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p120(X1)
                        | ( ( ~ p21(X1)
                            | ! [X0] :
                                ( ~ p120(X0)
                                | p21(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p21(X1)
                            | ! [X0] :
                                ( ~ p120(X0)
                                | ~ p21(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ ( p100(X1)
                            & ~ p101(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p101(X0)
                                    & ~ p102(X0)
                                    & p2(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p101(X0)
                                    & ~ p102(X0)
                                    & ~ p2(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p101(X1)
                            & ~ p102(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p102(X0)
                                    & ~ p103(X0)
                                    & p3(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p102(X0)
                                    & ~ p103(X0)
                                    & ~ p3(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p102(X1)
                            & ~ p103(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p103(X0)
                                    & ~ p104(X0)
                                    & p4(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p103(X0)
                                    & ~ p104(X0)
                                    & ~ p4(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p103(X1)
                            & ~ p104(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p104(X0)
                                    & ~ p105(X0)
                                    & p5(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p104(X0)
                                    & ~ p105(X0)
                                    & ~ p5(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p104(X1)
                            & ~ p105(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p105(X0)
                                    & ~ p106(X0)
                                    & p6(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p105(X0)
                                    & ~ p106(X0)
                                    & ~ p6(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p105(X1)
                            & ~ p106(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p106(X0)
                                    & ~ p107(X0)
                                    & p7(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p106(X0)
                                    & ~ p107(X0)
                                    & ~ p7(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p106(X1)
                            & ~ p107(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p107(X0)
                                    & ~ p108(X0)
                                    & p8(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p107(X0)
                                    & ~ p108(X0)
                                    & ~ p8(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p107(X1)
                            & ~ p108(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p108(X0)
                                    & ~ p109(X0)
                                    & p9(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p108(X0)
                                    & ~ p109(X0)
                                    & ~ p9(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p108(X1)
                            & ~ p109(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p109(X0)
                                    & ~ p110(X0)
                                    & p10(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p109(X0)
                                    & ~ p110(X0)
                                    & ~ p10(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p109(X1)
                            & ~ p110(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p110(X0)
                                    & ~ p111(X0)
                                    & p11(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p110(X0)
                                    & ~ p111(X0)
                                    & ~ p11(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p110(X1)
                            & ~ p111(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p111(X0)
                                    & ~ p112(X0)
                                    & p12(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p111(X0)
                                    & ~ p112(X0)
                                    & ~ p12(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p111(X1)
                            & ~ p112(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p112(X0)
                                    & ~ p113(X0)
                                    & p13(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p112(X0)
                                    & ~ p113(X0)
                                    & ~ p13(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p112(X1)
                            & ~ p113(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p113(X0)
                                    & ~ p114(X0)
                                    & p14(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p113(X0)
                                    & ~ p114(X0)
                                    & ~ p14(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p113(X1)
                            & ~ p114(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p114(X0)
                                    & ~ p115(X0)
                                    & p15(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p114(X0)
                                    & ~ p115(X0)
                                    & ~ p15(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p114(X1)
                            & ~ p115(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p115(X0)
                                    & ~ p116(X0)
                                    & p16(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p115(X0)
                                    & ~ p116(X0)
                                    & ~ p16(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p115(X1)
                            & ~ p116(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p116(X0)
                                    & ~ p117(X0)
                                    & p17(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p116(X0)
                                    & ~ p117(X0)
                                    & ~ p17(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p116(X1)
                            & ~ p117(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p117(X0)
                                    & ~ p118(X0)
                                    & p18(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p117(X0)
                                    & ~ p118(X0)
                                    & ~ p18(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p117(X1)
                            & ~ p118(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p118(X0)
                                    & ~ p119(X0)
                                    & p19(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p118(X0)
                                    & ~ p119(X0)
                                    & ~ p19(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p118(X1)
                            & ~ p119(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p119(X0)
                                    & ~ p120(X0)
                                    & p20(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p119(X0)
                                    & ~ p120(X0)
                                    & ~ p20(X0) )
                                | ~ r1(X1,X0) ) ) )
                      & ( ~ ( p119(X1)
                            & ~ p120(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p120(X0)
                                    & ~ p121(X0)
                                    & p21(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p120(X0)
                                    & ~ p121(X0)
                                    & ~ p21(X0) )
                                | ~ r1(X1,X0) ) ) ) )
                    | ~ r1(X0,X1) ) )
            | ~ ! [X1] :
                  ( p8(X1)
                  | ~ r1(X0,X1) ) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ~ ? [X0] :
        ~ ( ~ ( p100(X0)
              & ~ p101(X0)
              & ! [X1] :
                  ( ( ( ~ p101(X1)
                      | p100(X1) )
                    & ( ~ p102(X1)
                      | p101(X1) )
                    & ( ~ p103(X1)
                      | p102(X1) )
                    & ( ~ p104(X1)
                      | p103(X1) )
                    & ( ~ p105(X1)
                      | p104(X1) )
                    & ( ~ p106(X1)
                      | p105(X1) )
                    & ( ~ p107(X1)
                      | p106(X1) )
                    & ( ~ p108(X1)
                      | p107(X1) )
                    & ( ~ p109(X1)
                      | p108(X1) )
                    & ( ~ p110(X1)
                      | p109(X1) )
                    & ( ~ p111(X1)
                      | p110(X1) )
                    & ( ~ p112(X1)
                      | p111(X1) )
                    & ( ~ p113(X1)
                      | p112(X1) )
                    & ( ~ p114(X1)
                      | p113(X1) )
                    & ( ~ p115(X1)
                      | p114(X1) )
                    & ( ~ p116(X1)
                      | p115(X1) )
                    & ( ~ p117(X1)
                      | p116(X1) )
                    & ( ~ p118(X1)
                      | p117(X1) )
                    & ( ~ p119(X1)
                      | p118(X1) )
                    & ( ~ p120(X1)
                      | p119(X1) )
                    & ( ~ p121(X1)
                      | p120(X1) )
                    & ( ~ p100(X1)
                      | ( ( ~ p1(X1)
                          | ! [X0] :
                              ( ~ p100(X0)
                              | p1(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p1(X1)
                          | ! [X0] :
                              ( ~ p100(X0)
                              | ~ p1(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p101(X1)
                      | ( ( ~ p2(X1)
                          | ! [X0] :
                              ( ~ p101(X0)
                              | p2(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p2(X1)
                          | ! [X0] :
                              ( ~ p101(X0)
                              | ~ p2(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p102(X1)
                      | ( ( ~ p3(X1)
                          | ! [X0] :
                              ( ~ p102(X0)
                              | p3(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p3(X1)
                          | ! [X0] :
                              ( ~ p102(X0)
                              | ~ p3(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p103(X1)
                      | ( ( ~ p4(X1)
                          | ! [X0] :
                              ( ~ p103(X0)
                              | p4(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p4(X1)
                          | ! [X0] :
                              ( ~ p103(X0)
                              | ~ p4(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p104(X1)
                      | ( ( ~ p5(X1)
                          | ! [X0] :
                              ( ~ p104(X0)
                              | p5(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p5(X1)
                          | ! [X0] :
                              ( ~ p104(X0)
                              | ~ p5(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p105(X1)
                      | ( ( ~ p6(X1)
                          | ! [X0] :
                              ( ~ p105(X0)
                              | p6(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p6(X1)
                          | ! [X0] :
                              ( ~ p105(X0)
                              | ~ p6(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p106(X1)
                      | ( ( ~ p7(X1)
                          | ! [X0] :
                              ( ~ p106(X0)
                              | p7(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p7(X1)
                          | ! [X0] :
                              ( ~ p106(X0)
                              | ~ p7(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p107(X1)
                      | ( ( ~ p8(X1)
                          | ! [X0] :
                              ( ~ p107(X0)
                              | p8(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p8(X1)
                          | ! [X0] :
                              ( ~ p107(X0)
                              | ~ p8(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p108(X1)
                      | ( ( ~ p9(X1)
                          | ! [X0] :
                              ( ~ p108(X0)
                              | p9(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p9(X1)
                          | ! [X0] :
                              ( ~ p108(X0)
                              | ~ p9(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p109(X1)
                      | ( ( ~ p10(X1)
                          | ! [X0] :
                              ( ~ p109(X0)
                              | p10(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p10(X1)
                          | ! [X0] :
                              ( ~ p109(X0)
                              | ~ p10(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p110(X1)
                      | ( ( ~ p11(X1)
                          | ! [X0] :
                              ( ~ p110(X0)
                              | p11(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p11(X1)
                          | ! [X0] :
                              ( ~ p110(X0)
                              | ~ p11(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p111(X1)
                      | ( ( ~ p12(X1)
                          | ! [X0] :
                              ( ~ p111(X0)
                              | p12(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p12(X1)
                          | ! [X0] :
                              ( ~ p111(X0)
                              | ~ p12(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p112(X1)
                      | ( ( ~ p13(X1)
                          | ! [X0] :
                              ( ~ p112(X0)
                              | p13(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p13(X1)
                          | ! [X0] :
                              ( ~ p112(X0)
                              | ~ p13(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p113(X1)
                      | ( ( ~ p14(X1)
                          | ! [X0] :
                              ( ~ p113(X0)
                              | p14(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p14(X1)
                          | ! [X0] :
                              ( ~ p113(X0)
                              | ~ p14(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p114(X1)
                      | ( ( ~ p15(X1)
                          | ! [X0] :
                              ( ~ p114(X0)
                              | p15(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p15(X1)
                          | ! [X0] :
                              ( ~ p114(X0)
                              | ~ p15(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p115(X1)
                      | ( ( ~ p16(X1)
                          | ! [X0] :
                              ( ~ p115(X0)
                              | p16(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p16(X1)
                          | ! [X0] :
                              ( ~ p115(X0)
                              | ~ p16(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p116(X1)
                      | ( ( ~ p17(X1)
                          | ! [X0] :
                              ( ~ p116(X0)
                              | p17(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p17(X1)
                          | ! [X0] :
                              ( ~ p116(X0)
                              | ~ p17(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p117(X1)
                      | ( ( ~ p18(X1)
                          | ! [X0] :
                              ( ~ p117(X0)
                              | p18(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p18(X1)
                          | ! [X0] :
                              ( ~ p117(X0)
                              | ~ p18(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p118(X1)
                      | ( ( ~ p19(X1)
                          | ! [X0] :
                              ( ~ p118(X0)
                              | p19(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p19(X1)
                          | ! [X0] :
                              ( ~ p118(X0)
                              | ~ p19(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p119(X1)
                      | ( ( ~ p20(X1)
                          | ! [X0] :
                              ( ~ p119(X0)
                              | p20(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p20(X1)
                          | ! [X0] :
                              ( ~ p119(X0)
                              | ~ p20(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p120(X1)
                      | ( ( ~ p21(X1)
                          | ! [X0] :
                              ( ~ p120(X0)
                              | p21(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p21(X1)
                          | ! [X0] :
                              ( ~ p120(X0)
                              | ~ p21(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ ( p100(X1)
                          & ~ p101(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p101(X0)
                                  & ~ p102(X0)
                                  & p2(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p101(X0)
                                  & ~ p102(X0)
                                  & ~ p2(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p101(X1)
                          & ~ p102(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p102(X0)
                                  & ~ p103(X0)
                                  & p3(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p102(X0)
                                  & ~ p103(X0)
                                  & ~ p3(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p102(X1)
                          & ~ p103(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p103(X0)
                                  & ~ p104(X0)
                                  & p4(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p103(X0)
                                  & ~ p104(X0)
                                  & ~ p4(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p103(X1)
                          & ~ p104(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p104(X0)
                                  & ~ p105(X0)
                                  & p5(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p104(X0)
                                  & ~ p105(X0)
                                  & ~ p5(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p104(X1)
                          & ~ p105(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p105(X0)
                                  & ~ p106(X0)
                                  & p6(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p105(X0)
                                  & ~ p106(X0)
                                  & ~ p6(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p105(X1)
                          & ~ p106(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p106(X0)
                                  & ~ p107(X0)
                                  & p7(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p106(X0)
                                  & ~ p107(X0)
                                  & ~ p7(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p106(X1)
                          & ~ p107(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p107(X0)
                                  & ~ p108(X0)
                                  & p8(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p107(X0)
                                  & ~ p108(X0)
                                  & ~ p8(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p107(X1)
                          & ~ p108(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p108(X0)
                                  & ~ p109(X0)
                                  & p9(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p108(X0)
                                  & ~ p109(X0)
                                  & ~ p9(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p108(X1)
                          & ~ p109(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p109(X0)
                                  & ~ p110(X0)
                                  & p10(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p109(X0)
                                  & ~ p110(X0)
                                  & ~ p10(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p109(X1)
                          & ~ p110(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p110(X0)
                                  & ~ p111(X0)
                                  & p11(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p110(X0)
                                  & ~ p111(X0)
                                  & ~ p11(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p110(X1)
                          & ~ p111(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p111(X0)
                                  & ~ p112(X0)
                                  & p12(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p111(X0)
                                  & ~ p112(X0)
                                  & ~ p12(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p111(X1)
                          & ~ p112(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p112(X0)
                                  & ~ p113(X0)
                                  & p13(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p112(X0)
                                  & ~ p113(X0)
                                  & ~ p13(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p112(X1)
                          & ~ p113(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p113(X0)
                                  & ~ p114(X0)
                                  & p14(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p113(X0)
                                  & ~ p114(X0)
                                  & ~ p14(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p113(X1)
                          & ~ p114(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p114(X0)
                                  & ~ p115(X0)
                                  & p15(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p114(X0)
                                  & ~ p115(X0)
                                  & ~ p15(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p114(X1)
                          & ~ p115(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p115(X0)
                                  & ~ p116(X0)
                                  & p16(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p115(X0)
                                  & ~ p116(X0)
                                  & ~ p16(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p115(X1)
                          & ~ p116(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p116(X0)
                                  & ~ p117(X0)
                                  & p17(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p116(X0)
                                  & ~ p117(X0)
                                  & ~ p17(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p116(X1)
                          & ~ p117(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p117(X0)
                                  & ~ p118(X0)
                                  & p18(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p117(X0)
                                  & ~ p118(X0)
                                  & ~ p18(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p117(X1)
                          & ~ p118(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p118(X0)
                                  & ~ p119(X0)
                                  & p19(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p118(X0)
                                  & ~ p119(X0)
                                  & ~ p19(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p118(X1)
                          & ~ p119(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p119(X0)
                                  & ~ p120(X0)
                                  & p20(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p119(X0)
                                  & ~ p120(X0)
                                  & ~ p20(X0) )
                              | ~ r1(X1,X0) ) ) )
                    & ( ~ ( p119(X1)
                          & ~ p120(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p120(X0)
                                  & ~ p121(X0)
                                  & p21(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p120(X0)
                                  & ~ p121(X0)
                                  & ~ p21(X0) )
                              | ~ r1(X1,X0) ) ) ) )
                  | ~ r1(X0,X1) ) )
          | ~ ! [X1] :
                ( p8(X1)
                | ~ r1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(f786,plain,
    ( sP39(sK122)
    | ~ p100(sK122) ),
    inference(subsumption_resolution,[],[f785,f645]) ).

fof(f645,plain,
    ~ p101(sK122),
    inference(cnf_transformation,[],[f341]) ).

fof(f785,plain,
    ( p101(sK122)
    | sP39(sK122)
    | ~ p100(sK122) ),
    inference(resolution,[],[f446,f670]) ).

fof(f670,plain,
    sP59(sK122),
    inference(resolution,[],[f361,f649]) ).

fof(f649,plain,
    sP81(sK122),
    inference(resolution,[],[f647,f644]) ).

fof(f644,plain,
    ! [X1] :
      ( ~ r1(sK122,X1)
      | sP81(X1) ),
    inference(cnf_transformation,[],[f341]) ).

fof(f647,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(f361,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP59(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,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,[],[f95]) ).

fof(f95,plain,
    ! [X1] :
      ( ( ( ~ p101(X1)
          | p100(X1) )
        & ( ~ p102(X1)
          | p101(X1) )
        & ( ~ p103(X1)
          | p102(X1) )
        & ( ~ p104(X1)
          | p103(X1) )
        & ( ~ p105(X1)
          | p104(X1) )
        & ( ~ p106(X1)
          | p105(X1) )
        & ( ~ p107(X1)
          | p106(X1) )
        & ( ~ p108(X1)
          | p107(X1) )
        & ( ~ p109(X1)
          | p108(X1) )
        & ( ~ p110(X1)
          | p109(X1) )
        & ( ~ p111(X1)
          | p110(X1) )
        & ( ~ p112(X1)
          | p111(X1) )
        & ( ~ p113(X1)
          | p112(X1) )
        & ( ~ p114(X1)
          | p113(X1) )
        & ( ~ p115(X1)
          | p114(X1) )
        & ( ~ p116(X1)
          | p115(X1) )
        & ( ~ p117(X1)
          | p116(X1) )
        & ( ~ p118(X1)
          | p117(X1) )
        & ( ~ p119(X1)
          | p118(X1) )
        & ( ~ p120(X1)
          | p119(X1) )
        & sP80(X1)
        & sP79(X1)
        & sP78(X1)
        & sP77(X1)
        & sP76(X1)
        & sP75(X1)
        & sP74(X1)
        & sP73(X1)
        & sP72(X1)
        & sP71(X1)
        & sP70(X1)
        & sP69(X1)
        & sP68(X1)
        & sP67(X1)
        & sP66(X1)
        & sP65(X1)
        & sP64(X1)
        & sP63(X1)
        & sP62(X1)
        & sP61(X1)
        & sP60(X1)
        & sP59(X1)
        & sP58(X1)
        & sP57(X1)
        & sP56(X1)
        & sP55(X1)
        & sP54(X1)
        & sP53(X1)
        & sP52(X1)
        & sP51(X1)
        & sP50(X1)
        & sP49(X1)
        & sP48(X1)
        & sP47(X1)
        & sP46(X1)
        & sP45(X1)
        & sP44(X1)
        & sP43(X1)
        & sP42(X1)
        & sP41(X1)
        & sP40(X1) )
      | ~ sP81(X1) ),
    inference(nnf_transformation,[],[f93]) ).

fof(f446,plain,
    ! [X0] :
      ( ~ sP59(X0)
      | p101(X0)
      | sP39(X0)
      | ~ p100(X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | ( sP39(X0)
        & sP38(X0) )
      | ~ sP59(X0) ),
    inference(rectify,[],[f139]) ).

fof(f139,plain,
    ! [X1] :
      ( ~ p100(X1)
      | p101(X1)
      | ( sP39(X1)
        & sP38(X1) )
      | ~ sP59(X1) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f880,plain,
    ( sP37(sK82(sK122))
    | ~ p101(sK82(sK122)) ),
    inference(subsumption_resolution,[],[f878,f790]) ).

fof(f790,plain,
    ~ p102(sK82(sK122)),
    inference(resolution,[],[f787,f487]) ).

fof(f487,plain,
    ! [X0] :
      ( ~ sP39(X0)
      | ~ p102(sK82(X0)) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f878,plain,
    ( p102(sK82(sK122))
    | sP37(sK82(sK122))
    | ~ p101(sK82(sK122)) ),
    inference(resolution,[],[f830,f448]) ).

fof(f448,plain,
    ! [X0] :
      ( ~ sP58(X0)
      | p102(X0)
      | sP37(X0)
      | ~ p101(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ p101(X0)
      | p102(X0)
      | ( sP37(X0)
        & sP36(X0) )
      | ~ sP58(X0) ),
    inference(rectify,[],[f141]) ).

fof(f141,plain,
    ! [X1] :
      ( ~ p101(X1)
      | p102(X1)
      | ( sP37(X1)
        & sP36(X1) )
      | ~ sP58(X1) ),
    inference(nnf_transformation,[],[f70]) ).

fof(f830,plain,
    sP58(sK82(sK122)),
    inference(resolution,[],[f810,f360]) ).

fof(f360,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP58(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f810,plain,
    sP81(sK82(sK122)),
    inference(resolution,[],[f788,f644]) ).

fof(f788,plain,
    r1(sK122,sK82(sK122)),
    inference(resolution,[],[f787,f485]) ).

fof(f485,plain,
    ! [X0] :
      ( ~ sP39(X0)
      | r1(X0,sK82(X0)) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f1139,plain,
    ( sP35(sK84(sK82(sK122)))
    | ~ p102(sK84(sK82(sK122))) ),
    inference(subsumption_resolution,[],[f1137,f891]) ).

fof(f891,plain,
    ~ p103(sK84(sK82(sK122))),
    inference(resolution,[],[f881,f495]) ).

fof(f495,plain,
    ! [X0] :
      ( ~ sP37(X0)
      | ~ p103(sK84(X0)) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f1137,plain,
    ( p103(sK84(sK82(sK122)))
    | sP35(sK84(sK82(sK122)))
    | ~ p102(sK84(sK82(sK122))) ),
    inference(resolution,[],[f1032,f450]) ).

fof(f450,plain,
    ! [X0] :
      ( ~ sP57(X0)
      | p103(X0)
      | sP35(X0)
      | ~ p102(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ p102(X0)
      | p103(X0)
      | ( sP35(X0)
        & sP34(X0) )
      | ~ sP57(X0) ),
    inference(rectify,[],[f143]) ).

fof(f143,plain,
    ! [X1] :
      ( ~ p102(X1)
      | p103(X1)
      | ( sP35(X1)
        & sP34(X1) )
      | ~ sP57(X1) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f1032,plain,
    sP57(sK84(sK82(sK122))),
    inference(resolution,[],[f1012,f359]) ).

fof(f359,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP57(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f1012,plain,
    sP81(sK84(sK82(sK122))),
    inference(resolution,[],[f1011,f644]) ).

fof(f1011,plain,
    r1(sK122,sK84(sK82(sK122))),
    inference(resolution,[],[f1002,f788]) ).

fof(f1002,plain,
    ! [X0] :
      ( ~ r1(X0,sK82(sK122))
      | r1(X0,sK84(sK82(sK122))) ),
    inference(resolution,[],[f648,f889]) ).

fof(f889,plain,
    r1(sK82(sK122),sK84(sK82(sK122))),
    inference(resolution,[],[f881,f493]) ).

fof(f493,plain,
    ! [X0] :
      ( ~ sP37(X0)
      | r1(X0,sK84(X0)) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f648,plain,
    ! [X2,X0,X1] :
      ( ~ r1(X1,X2)
      | r1(X0,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( r1(X0,X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(flattening,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( r1(X0,X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( r1(X1,X2)
        & r1(X0,X1) )
     => r1(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

fof(f2340,plain,
    ( sP33(sK86(sK84(sK82(sK122))))
    | ~ p103(sK86(sK84(sK82(sK122)))) ),
    inference(subsumption_resolution,[],[f2338,f1174]) ).

fof(f1174,plain,
    ~ p104(sK86(sK84(sK82(sK122)))),
    inference(resolution,[],[f1140,f503]) ).

fof(f503,plain,
    ! [X0] :
      ( ~ sP35(X0)
      | ~ p104(sK86(X0)) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f2338,plain,
    ( p104(sK86(sK84(sK82(sK122))))
    | sP33(sK86(sK84(sK82(sK122))))
    | ~ p103(sK86(sK84(sK82(sK122)))) ),
    inference(resolution,[],[f2219,f452]) ).

fof(f452,plain,
    ! [X0] :
      ( ~ sP56(X0)
      | p104(X0)
      | sP33(X0)
      | ~ p103(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ p103(X0)
      | p104(X0)
      | ( sP33(X0)
        & sP32(X0) )
      | ~ sP56(X0) ),
    inference(rectify,[],[f145]) ).

fof(f145,plain,
    ! [X1] :
      ( ~ p103(X1)
      | p104(X1)
      | ( sP33(X1)
        & sP32(X1) )
      | ~ sP56(X1) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f2219,plain,
    sP56(sK86(sK84(sK82(sK122)))),
    inference(resolution,[],[f2165,f358]) ).

fof(f358,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP56(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f2165,plain,
    sP81(sK86(sK84(sK82(sK122)))),
    inference(resolution,[],[f2164,f644]) ).

fof(f2164,plain,
    r1(sK122,sK86(sK84(sK82(sK122)))),
    inference(resolution,[],[f1218,f1011]) ).

fof(f1218,plain,
    ! [X0] :
      ( ~ r1(X0,sK84(sK82(sK122)))
      | r1(X0,sK86(sK84(sK82(sK122)))) ),
    inference(resolution,[],[f1172,f648]) ).

fof(f1172,plain,
    r1(sK84(sK82(sK122)),sK86(sK84(sK82(sK122)))),
    inference(resolution,[],[f1140,f501]) ).

fof(f501,plain,
    ! [X0] :
      ( ~ sP35(X0)
      | r1(X0,sK86(X0)) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f6844,plain,
    ( sP31(sK88(sK86(sK84(sK82(sK122)))))
    | ~ p104(sK88(sK86(sK84(sK82(sK122))))) ),
    inference(subsumption_resolution,[],[f6842,f2393]) ).

fof(f2393,plain,
    ~ p105(sK88(sK86(sK84(sK82(sK122))))),
    inference(resolution,[],[f2341,f511]) ).

fof(f511,plain,
    ! [X0] :
      ( ~ sP33(X0)
      | ~ p105(sK88(X0)) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f6842,plain,
    ( p105(sK88(sK86(sK84(sK82(sK122)))))
    | sP31(sK88(sK86(sK84(sK82(sK122)))))
    | ~ p104(sK88(sK86(sK84(sK82(sK122))))) ),
    inference(resolution,[],[f6764,f454]) ).

fof(f454,plain,
    ! [X0] :
      ( ~ sP55(X0)
      | p105(X0)
      | sP31(X0)
      | ~ p104(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ p104(X0)
      | p105(X0)
      | ( sP31(X0)
        & sP30(X0) )
      | ~ sP55(X0) ),
    inference(rectify,[],[f147]) ).

fof(f147,plain,
    ! [X1] :
      ( ~ p104(X1)
      | p105(X1)
      | ( sP31(X1)
        & sP30(X1) )
      | ~ sP55(X1) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f6764,plain,
    sP55(sK88(sK86(sK84(sK82(sK122))))),
    inference(resolution,[],[f6667,f357]) ).

fof(f357,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP55(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f6667,plain,
    sP81(sK88(sK86(sK84(sK82(sK122))))),
    inference(resolution,[],[f6666,f644]) ).

fof(f6666,plain,
    r1(sK122,sK88(sK86(sK84(sK82(sK122))))),
    inference(resolution,[],[f2546,f2164]) ).

fof(f2546,plain,
    ! [X0] :
      ( ~ r1(X0,sK86(sK84(sK82(sK122))))
      | r1(X0,sK88(sK86(sK84(sK82(sK122))))) ),
    inference(resolution,[],[f2391,f648]) ).

fof(f2391,plain,
    r1(sK86(sK84(sK82(sK122))),sK88(sK86(sK84(sK82(sK122))))),
    inference(resolution,[],[f2341,f509]) ).

fof(f509,plain,
    ! [X0] :
      ( ~ sP33(X0)
      | r1(X0,sK88(X0)) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f15352,plain,
    ( sP29(sK90(sK88(sK86(sK84(sK82(sK122))))))
    | ~ p105(sK90(sK88(sK86(sK84(sK82(sK122)))))) ),
    inference(subsumption_resolution,[],[f15350,f6859]) ).

fof(f6859,plain,
    ~ p106(sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(resolution,[],[f6845,f519]) ).

fof(f519,plain,
    ! [X0] :
      ( ~ sP31(X0)
      | ~ p106(sK90(X0)) ),
    inference(cnf_transformation,[],[f214]) ).

fof(f15350,plain,
    ( p106(sK90(sK88(sK86(sK84(sK82(sK122))))))
    | sP29(sK90(sK88(sK86(sK84(sK82(sK122))))))
    | ~ p105(sK90(sK88(sK86(sK84(sK82(sK122)))))) ),
    inference(resolution,[],[f15273,f456]) ).

fof(f456,plain,
    ! [X0] :
      ( ~ sP54(X0)
      | p106(X0)
      | sP29(X0)
      | ~ p105(X0) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ p105(X0)
      | p106(X0)
      | ( sP29(X0)
        & sP28(X0) )
      | ~ sP54(X0) ),
    inference(rectify,[],[f149]) ).

fof(f149,plain,
    ! [X1] :
      ( ~ p105(X1)
      | p106(X1)
      | ( sP29(X1)
        & sP28(X1) )
      | ~ sP54(X1) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f15273,plain,
    sP54(sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(resolution,[],[f15179,f356]) ).

fof(f356,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP54(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f15179,plain,
    sP81(sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(resolution,[],[f15178,f644]) ).

fof(f15178,plain,
    r1(sK122,sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(resolution,[],[f7065,f6666]) ).

fof(f7065,plain,
    ! [X0] :
      ( ~ r1(X0,sK88(sK86(sK84(sK82(sK122)))))
      | r1(X0,sK90(sK88(sK86(sK84(sK82(sK122)))))) ),
    inference(resolution,[],[f6857,f648]) ).

fof(f6857,plain,
    r1(sK88(sK86(sK84(sK82(sK122)))),sK90(sK88(sK86(sK84(sK82(sK122)))))),
    inference(resolution,[],[f6845,f517]) ).

fof(f517,plain,
    ! [X0] :
      ( ~ sP31(X0)
      | r1(X0,sK90(X0)) ),
    inference(cnf_transformation,[],[f214]) ).

fof(f35036,plain,
    ( sP26(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
    | ~ p106(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))) ),
    inference(subsumption_resolution,[],[f35033,f15369]) ).

fof(f15369,plain,
    ~ p107(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(resolution,[],[f15353,f527]) ).

fof(f527,plain,
    ! [X0] :
      ( ~ sP29(X0)
      | ~ p107(sK92(X0)) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f35033,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,[],[f34956,f457]) ).

fof(f457,plain,
    ! [X0] :
      ( ~ sP53(X0)
      | p107(X0)
      | sP26(X0)
      | ~ p106(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ p106(X0)
      | p107(X0)
      | ( sP27(X0)
        & sP26(X0) )
      | ~ sP53(X0) ),
    inference(rectify,[],[f151]) ).

fof(f151,plain,
    ! [X1] :
      ( ~ p106(X1)
      | p107(X1)
      | ( sP27(X1)
        & sP26(X1) )
      | ~ sP53(X1) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f34956,plain,
    sP53(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(resolution,[],[f34865,f355]) ).

fof(f355,plain,
    ! [X0] :
      ( ~ sP81(X0)
      | sP53(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f34865,plain,
    sP81(sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(resolution,[],[f34864,f644]) ).

fof(f34864,plain,
    r1(sK122,sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(resolution,[],[f15657,f15178]) ).

fof(f15657,plain,
    ! [X0] :
      ( ~ r1(X0,sK90(sK88(sK86(sK84(sK82(sK122))))))
      | r1(X0,sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))) ),
    inference(resolution,[],[f15367,f648]) ).

fof(f15367,plain,
    r1(sK90(sK88(sK86(sK84(sK82(sK122))))),sK92(sK90(sK88(sK86(sK84(sK82(sK122))))))),
    inference(resolution,[],[f15353,f525]) ).

fof(f525,plain,
    ! [X0] :
      ( ~ sP29(X0)
      | r1(X0,sK92(X0)) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f79858,plain,
    p8(sK95(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))),
    inference(resolution,[],[f79856,f643]) ).

fof(f643,plain,
    ! [X2] :
      ( ~ r1(sK122,X2)
      | p8(X2) ),
    inference(cnf_transformation,[],[f341]) ).

fof(f79856,plain,
    r1(sK122,sK95(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))),
    inference(resolution,[],[f35503,f34864]) ).

fof(f35503,plain,
    ! [X0] :
      ( ~ r1(X0,sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))
      | r1(X0,sK95(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))) ),
    inference(resolution,[],[f35055,f648]) ).

fof(f35055,plain,
    r1(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))),sK95(sK92(sK90(sK88(sK86(sK84(sK82(sK122)))))))),
    inference(resolution,[],[f35037,f537]) ).

fof(f537,plain,
    ! [X0] :
      ( ~ sP26(X0)
      | r1(X0,sK95(X0)) ),
    inference(cnf_transformation,[],[f234]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : LCL674+1.020 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29  % Computer : n011.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Mon May 20 02:46:37 EDT 2024
% 0.10/0.29  % CPUTime    : 
% 0.10/0.29  % (1049)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30  % (1050)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.30  TRYING [1]
% 0.10/0.31  TRYING [2]
% 0.10/0.31  % (1051)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.31  % (1054)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.31  % (1055)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.31  % (1053)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.31  % (1052)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)
% 0.10/0.31  % (1056)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)
% 0.10/0.31  TRYING [3]
% 0.10/0.31  TRYING [4]
% 0.13/0.31  TRYING [1]
% 0.13/0.32  TRYING [2]
% 0.13/0.32  TRYING [5]
% 0.13/0.32  TRYING [1]
% 0.13/0.32  TRYING [3]
% 0.13/0.32  TRYING [2]
% 0.13/0.32  TRYING [1]
% 0.13/0.32  TRYING [2]
% 0.13/0.32  TRYING [3]
% 0.13/0.32  TRYING [3]
% 0.13/0.33  TRYING [4]
% 0.13/0.33  TRYING [6]
% 0.13/0.33  TRYING [4]
% 0.13/0.33  TRYING [4]
% 0.13/0.34  TRYING [5]
% 0.13/0.34  TRYING [5]
% 0.13/0.34  TRYING [5]
% 0.13/0.34  TRYING [7]
% 0.13/0.36  TRYING [6]
% 0.13/0.37  TRYING [6]
% 0.13/0.37  TRYING [6]
% 0.13/0.38  TRYING [8]
% 0.13/0.39  TRYING [7]
% 0.13/0.41  TRYING [7]
% 0.13/0.41  TRYING [7]
% 0.13/0.45  TRYING [9]
% 0.13/0.46  TRYING [8]
% 0.13/0.49  TRYING [8]
% 0.13/0.49  TRYING [8]
% 2.41/0.65  TRYING [10]
% 3.18/0.74  TRYING [9]
% 3.34/0.80  TRYING [9]
% 3.97/0.85  TRYING [9]
% 5.48/1.08  % (1054)First to succeed.
% 5.48/1.08  % (1054)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1049"
% 5.48/1.08  % (1054)Refutation found. Thanks to Tanya!
% 5.48/1.08  % SZS status Theorem for theBenchmark
% 5.48/1.08  % SZS output start Proof for theBenchmark
% See solution above
% 5.48/1.09  % (1054)------------------------------
% 5.48/1.09  % (1054)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.48/1.09  % (1054)Termination reason: Refutation
% 5.48/1.09  
% 5.48/1.09  % (1054)Memory used [KB]: 17943
% 5.48/1.09  % (1054)Time elapsed: 0.757 s
% 5.48/1.09  % (1054)Instructions burned: 2084 (million)
% 5.48/1.09  % (1049)Success in time 0.795 s
%------------------------------------------------------------------------------