TSTP Solution File: LCL652+1.020 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LCL652+1.020 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n027.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 : Thu Aug 31 06:57:22 EDT 2023

% Result   : Theorem 228.29s 228.25s
% Output   : CNFRefutation 228.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   53
%            Number of leaves      :  192
% Syntax   : Number of formulae    :  322 (  37 unt; 186 typ;   0 def)
%            Number of atoms       : 3830 (   0 equ)
%            Maximal formula atoms :  606 (  28 avg)
%            Number of connectives : 7758 (4064   ~;3171   |; 513   &)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  307 (  13 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  300 ( 105   >; 195   *;   0   +;   0  <<)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :  176 ( 176 usr;  81 con; 0-7 aty)
%            Number of variables   : 1838 (   0 sgn;1697   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    r1: ( $i * $i ) > $o ).

tff(decl_23,type,
    p4: $i > $o ).

tff(decl_24,type,
    p1: $i > $o ).

tff(decl_25,type,
    p3: $i > $o ).

tff(decl_26,type,
    p2: $i > $o ).

tff(decl_27,type,
    epred1_1: $i > $o ).

tff(decl_28,type,
    epred2_1: $i > $o ).

tff(decl_29,type,
    epred3_1: $i > $o ).

tff(decl_30,type,
    epred4_1: $i > $o ).

tff(decl_31,type,
    epred5_1: $i > $o ).

tff(decl_32,type,
    esk1_0: $i ).

tff(decl_33,type,
    esk2_3: ( $i * $i * $i ) > $i ).

tff(decl_34,type,
    esk3_1: $i > $i ).

tff(decl_35,type,
    esk4_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_36,type,
    esk5_2: ( $i * $i ) > $i ).

tff(decl_37,type,
    esk6_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_38,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_39,type,
    esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_40,type,
    esk9_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_41,type,
    esk10_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_42,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_43,type,
    esk12_2: ( $i * $i ) > $i ).

tff(decl_44,type,
    esk13_1: $i > $i ).

tff(decl_45,type,
    esk14_0: $i ).

tff(decl_46,type,
    esk15_0: $i ).

tff(decl_47,type,
    esk16_0: $i ).

tff(decl_48,type,
    esk17_0: $i ).

tff(decl_49,type,
    esk18_0: $i ).

tff(decl_50,type,
    esk19_0: $i ).

tff(decl_51,type,
    esk20_0: $i ).

tff(decl_52,type,
    esk21_0: $i ).

tff(decl_53,type,
    esk22_0: $i ).

tff(decl_54,type,
    esk23_0: $i ).

tff(decl_55,type,
    esk24_0: $i ).

tff(decl_56,type,
    esk25_0: $i ).

tff(decl_57,type,
    esk26_0: $i ).

tff(decl_58,type,
    esk27_0: $i ).

tff(decl_59,type,
    esk28_0: $i ).

tff(decl_60,type,
    esk29_0: $i ).

tff(decl_61,type,
    esk30_0: $i ).

tff(decl_62,type,
    esk31_0: $i ).

tff(decl_63,type,
    esk32_0: $i ).

tff(decl_64,type,
    esk33_0: $i ).

tff(decl_65,type,
    esk34_0: $i ).

tff(decl_66,type,
    esk35_0: $i ).

tff(decl_67,type,
    esk36_0: $i ).

tff(decl_68,type,
    esk37_0: $i ).

tff(decl_69,type,
    esk38_0: $i ).

tff(decl_70,type,
    esk39_0: $i ).

tff(decl_71,type,
    esk40_0: $i ).

tff(decl_72,type,
    esk41_0: $i ).

tff(decl_73,type,
    esk42_0: $i ).

tff(decl_74,type,
    esk43_0: $i ).

tff(decl_75,type,
    esk44_0: $i ).

tff(decl_76,type,
    esk45_0: $i ).

tff(decl_77,type,
    esk46_0: $i ).

tff(decl_78,type,
    esk47_0: $i ).

tff(decl_79,type,
    esk48_0: $i ).

tff(decl_80,type,
    esk49_0: $i ).

tff(decl_81,type,
    esk50_0: $i ).

tff(decl_82,type,
    esk51_0: $i ).

tff(decl_83,type,
    esk52_0: $i ).

tff(decl_84,type,
    esk53_0: $i ).

tff(decl_85,type,
    esk54_0: $i ).

tff(decl_86,type,
    esk55_0: $i ).

tff(decl_87,type,
    esk56_0: $i ).

tff(decl_88,type,
    esk57_0: $i ).

tff(decl_89,type,
    esk58_0: $i ).

tff(decl_90,type,
    esk59_0: $i ).

tff(decl_91,type,
    esk60_0: $i ).

tff(decl_92,type,
    esk61_0: $i ).

tff(decl_93,type,
    esk62_0: $i ).

tff(decl_94,type,
    esk63_0: $i ).

tff(decl_95,type,
    esk64_0: $i ).

tff(decl_96,type,
    esk65_0: $i ).

tff(decl_97,type,
    esk66_0: $i ).

tff(decl_98,type,
    esk67_0: $i ).

tff(decl_99,type,
    esk68_0: $i ).

tff(decl_100,type,
    esk69_0: $i ).

tff(decl_101,type,
    esk70_0: $i ).

tff(decl_102,type,
    esk71_0: $i ).

tff(decl_103,type,
    esk72_0: $i ).

tff(decl_104,type,
    esk73_0: $i ).

tff(decl_105,type,
    esk74_0: $i ).

tff(decl_106,type,
    esk75_0: $i ).

tff(decl_107,type,
    esk76_0: $i ).

tff(decl_108,type,
    esk77_0: $i ).

tff(decl_109,type,
    esk78_0: $i ).

tff(decl_110,type,
    esk79_0: $i ).

tff(decl_111,type,
    esk80_0: $i ).

tff(decl_112,type,
    esk81_0: $i ).

tff(decl_113,type,
    esk82_0: $i ).

tff(decl_114,type,
    esk83_0: $i ).

tff(decl_115,type,
    esk84_0: $i ).

tff(decl_116,type,
    esk85_0: $i ).

tff(decl_117,type,
    esk86_0: $i ).

tff(decl_118,type,
    esk87_0: $i ).

tff(decl_119,type,
    esk88_0: $i ).

tff(decl_120,type,
    esk89_0: $i ).

tff(decl_121,type,
    esk90_0: $i ).

tff(decl_122,type,
    esk91_0: $i ).

tff(decl_123,type,
    esk92_0: $i ).

tff(decl_124,type,
    esk93_0: $i ).

tff(decl_125,type,
    esk94_1: $i > $i ).

tff(decl_126,type,
    esk95_1: $i > $i ).

tff(decl_127,type,
    esk96_1: $i > $i ).

tff(decl_128,type,
    esk97_1: $i > $i ).

tff(decl_129,type,
    esk98_1: $i > $i ).

tff(decl_130,type,
    esk99_1: $i > $i ).

tff(decl_131,type,
    esk100_1: $i > $i ).

tff(decl_132,type,
    esk101_1: $i > $i ).

tff(decl_133,type,
    esk102_1: $i > $i ).

tff(decl_134,type,
    esk103_1: $i > $i ).

tff(decl_135,type,
    esk104_1: $i > $i ).

tff(decl_136,type,
    esk105_1: $i > $i ).

tff(decl_137,type,
    esk106_1: $i > $i ).

tff(decl_138,type,
    esk107_1: $i > $i ).

tff(decl_139,type,
    esk108_1: $i > $i ).

tff(decl_140,type,
    esk109_1: $i > $i ).

tff(decl_141,type,
    esk110_1: $i > $i ).

tff(decl_142,type,
    esk111_1: $i > $i ).

tff(decl_143,type,
    esk112_1: $i > $i ).

tff(decl_144,type,
    esk113_1: $i > $i ).

tff(decl_145,type,
    esk114_1: $i > $i ).

tff(decl_146,type,
    esk115_2: ( $i * $i ) > $i ).

tff(decl_147,type,
    esk116_2: ( $i * $i ) > $i ).

tff(decl_148,type,
    esk117_3: ( $i * $i * $i ) > $i ).

tff(decl_149,type,
    esk118_3: ( $i * $i * $i ) > $i ).

tff(decl_150,type,
    esk119_3: ( $i * $i * $i ) > $i ).

tff(decl_151,type,
    esk120_3: ( $i * $i * $i ) > $i ).

tff(decl_152,type,
    esk121_1: $i > $i ).

tff(decl_153,type,
    esk122_2: ( $i * $i ) > $i ).

tff(decl_154,type,
    esk123_2: ( $i * $i ) > $i ).

tff(decl_155,type,
    esk124_3: ( $i * $i * $i ) > $i ).

tff(decl_156,type,
    esk125_3: ( $i * $i * $i ) > $i ).

tff(decl_157,type,
    esk126_1: $i > $i ).

tff(decl_158,type,
    esk127_1: $i > $i ).

tff(decl_159,type,
    esk128_1: $i > $i ).

tff(decl_160,type,
    esk129_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_161,type,
    esk130_2: ( $i * $i ) > $i ).

tff(decl_162,type,
    esk131_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_163,type,
    esk132_3: ( $i * $i * $i ) > $i ).

tff(decl_164,type,
    esk133_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_165,type,
    esk134_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_166,type,
    esk135_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_167,type,
    esk136_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_168,type,
    esk137_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_169,type,
    esk138_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_170,type,
    esk139_3: ( $i * $i * $i ) > $i ).

tff(decl_171,type,
    esk140_2: ( $i * $i ) > $i ).

tff(decl_172,type,
    esk141_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_173,type,
    esk142_2: ( $i * $i ) > $i ).

tff(decl_174,type,
    esk143_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_175,type,
    esk144_3: ( $i * $i * $i ) > $i ).

tff(decl_176,type,
    esk145_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_177,type,
    esk146_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_178,type,
    esk147_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_179,type,
    esk148_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_180,type,
    esk149_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_181,type,
    esk150_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_182,type,
    esk151_3: ( $i * $i * $i ) > $i ).

tff(decl_183,type,
    esk152_2: ( $i * $i ) > $i ).

tff(decl_184,type,
    esk153_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_185,type,
    esk154_2: ( $i * $i ) > $i ).

tff(decl_186,type,
    esk155_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_187,type,
    esk156_3: ( $i * $i * $i ) > $i ).

tff(decl_188,type,
    esk157_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_189,type,
    esk158_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_190,type,
    esk159_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_191,type,
    esk160_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_192,type,
    esk161_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_193,type,
    esk162_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_194,type,
    esk163_3: ( $i * $i * $i ) > $i ).

tff(decl_195,type,
    esk164_2: ( $i * $i ) > $i ).

tff(decl_196,type,
    esk165_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_197,type,
    esk166_2: ( $i * $i ) > $i ).

tff(decl_198,type,
    esk167_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_199,type,
    esk168_3: ( $i * $i * $i ) > $i ).

tff(decl_200,type,
    esk169_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_201,type,
    esk170_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_202,type,
    esk171_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_203,type,
    esk172_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_204,type,
    esk173_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_205,type,
    esk174_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_206,type,
    esk175_3: ( $i * $i * $i ) > $i ).

tff(decl_207,type,
    esk176_2: ( $i * $i ) > $i ).

fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ p4(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ p1(X1) ) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ p1(X2) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ p1(X2) ) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ p1(X1) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ p1(X1) ) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p1(X2) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ p1(X2) ) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ p1(X1) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ p1(X1) ) ) )
                                                            & ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ p1(X2) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ~ ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ~ p1(X2) ) ) )
                                                                      & ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ~ ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ~ p1(X1) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ~ ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | ~ p1(X1) ) ) )
                                                                                & ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ~ ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ~ p1(X2) ) ) ) )
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p1(X2) ) ) )
                                                                                          & ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | ~ ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ p1(X1) ) ) ) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ~ ! [X1] :
                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                    | ~ p1(X1) ) ) )
                                                                                                    & ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | ~ ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ~ p1(X2) ) ) ) )
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | ~ ! [X2] :
                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                              | ~ p1(X2) ) ) )
                                                                                                              & ! [X2] :
                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                  | ~ ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | ~ p1(X1) ) ) ) )
                                                                                                    | ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ! [X2] :
                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                  | ~ ! [X1] :
                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                        | ~ p1(X1) ) ) )
                                                                                                                        & ! [X1] :
                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                            | ~ ! [X2] :
                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                  | ~ p1(X2) ) ) ) )
                                                                                                              | ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | ~ ! [X2] :
                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                  | ~ p1(X2) ) ) )
                                                                                                                                  & ! [X2] :
                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                      | ~ ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | ~ p1(X1) ) ) ) )
                                                                                                                        | ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ( ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                            | ~ p1(X1) ) ) )
                                                                                                                                            & ! [X1] :
                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | ~ p1(X2) ) ) ) )
                                                                                                                                  | ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ( ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ~ ( ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ! [X1] :
                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                      | ~ p1(X2) ) ) )
                                                                                                                                                      & ! [X2] :
                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                          | ~ ! [X1] :
                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                | ~ p1(X1) ) ) ) )
                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ~ ( ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ~ ( ~ ! [X1] :
                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                      | ! [X2] :
                                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                                          | ~ ! [X1] :
                                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                                | ~ p1(X1) ) ) )
                                                                                                                                                                & ! [X1] :
                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                    | ~ ! [X2] :
                                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                                          | ~ p1(X2) ) ) ) )
                                                                                                                                                      | ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ~ ( ~ ! [X1] :
                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                      | ~ ( ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ! [X1] :
                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                    | ~ ! [X2] :
                                                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                                                          | ~ p1(X2) ) ) )
                                                                                                                                                                          & ! [X2] :
                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                    | ~ p1(X1) ) ) ) )
                                                                                                                                                                | ~ ! [X1] :
                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                      | ~ ( ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ~ ( ~ ! [X1] :
                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                                    | ~ p1(X1) ) ) )
                                                                                                                                                                                    & ! [X1] :
                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                        | ~ ! [X2] :
                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                              | ~ p1(X2) ) ) ) )
                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ~ ( ~ ! [X1] :
                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                                                    | ! [X1] :
                                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                                        | ~ ! [X2] :
                                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                                              | ~ p1(X2) ) ) )
                                                                                                                                                                                              & ! [X2] :
                                                                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                                                                  | ~ ! [X1] :
                                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                                        | ~ p1(X1) ) ) ) )
                                                                                                                                                                                    | ~ ! [X1] :
                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                                                                                              | ! [X2] :
                                                                                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                                                                                  | ~ ! [X1] :
                                                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                                                        | ~ p1(X1) ) ) )
                                                                                                                                                                                                        & ! [X1] :
                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                            | ~ ! [X2] :
                                                                                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                                                                                  | ~ p1(X2) ) ) ) )
                                                                                                                                                                                              | ~ ! [X2] :
                                                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                        | ! [X1] :
                                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                                            | ~ ! [X2] :
                                                                                                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                                                                                                  | ~ p1(X2) ) ) )
                                                                                                                                                                                                                  & ! [X2] :
                                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                                            | ~ p1(X1) ) ) ) )
                                                                                                                                                                                                        | ~ ! [X1] :
                                                                                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                        | ~ ! [X1] :
                                                                                                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                                                                                                              | ! [X2] :
                                                                                                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                                                                                                  | p3(X2) )
                                                                                                                                                                                                                              | ~ p2(X1) ) )
                                                                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                        | ~ ( ~ ! [X1] :
                                                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                                                  | ~ ( ! [X2] :
                                                                                                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                                                                                                          | p3(X2) )
                                                                                                                                                                                                                                      | ~ p2(X1) ) )
                                                                                                                                                                                                                            & p2(X2)
                                                                                                                                                                                                                            & ~ ! [X1] :
                                                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                                        | ~ ! [X1] :
                                                                                                                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                                                                                                                              | ~ p2(X1) ) ) ) ) )
                                                                                                                                                                                                                  | ( ~ ! [X2] :
                                                                                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                                                                                          | ! [X1] :
                                                                                                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                                                                                                              | ~ ! [X2] :
                                                                                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                                                                                    | ! [X1] :
                                                                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                                                                        | p3(X1) )
                                                                                                                                                                                                                                    | ~ p2(X2) ) ) )
                                                                                                                                                                                                                    & ! [X2] :
                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                        | ~ ! [X1] :
                                                                                                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                                                                                                              | ~ p2(X1) ) ) )
                                                                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                        | ~ ( ! [X1] :
                                                                                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                                                      | ~ p2(X2) ) )
                                                                                                                                                                                                                            & ! [X1] :
                                                                                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                                                            | ! [X2] :
                                                                                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                                                                                | p3(X2) )
                                                                                                                                                                                                                                            | ~ p2(X1) ) ) ) ) )
                                                                                                                                                                                                                  | ( ! [X2] :
                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                        | ! [X1] :
                                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                                            | p3(X1) )
                                                                                                                                                                                                                        | ~ p2(X2) )
                                                                                                                                                                                                                    & ! [X2] :
                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                        | ~ ! [X1] :
                                                                                                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                                                                                                              | ~ p2(X1) ) ) ) ) )
                                                                                                                                                                                                        | ~ ! [X1] :
                                                                                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                        | ! [X1] :
                                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                                            | p1(X1) ) )
                                                                                                                                                                                                                  & ! [X2] :
                                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                                      | p1(X2) ) ) ) ) )
                                                                                                                                                                                              | ~ ! [X2] :
                                                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                                                                                              | ! [X2] :
                                                                                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                                                                                  | p1(X2) ) )
                                                                                                                                                                                                        & ! [X1] :
                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                            | p1(X1) ) ) ) ) )
                                                                                                                                                                                    | ~ ! [X1] :
                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                                                    | ! [X1] :
                                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                                        | p1(X1) ) )
                                                                                                                                                                                              & ! [X2] :
                                                                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                                                                  | p1(X2) ) ) ) ) )
                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ~ ( ~ ! [X1] :
                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                              | p1(X2) ) )
                                                                                                                                                                                    & ! [X1] :
                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                        | p1(X1) ) ) ) ) )
                                                                                                                                                                | ~ ! [X1] :
                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                      | ~ ( ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ! [X1] :
                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                    | p1(X1) ) )
                                                                                                                                                                          & ! [X2] :
                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                              | p1(X2) ) ) ) ) )
                                                                                                                                                      | ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ~ ( ~ ! [X1] :
                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                      | ! [X2] :
                                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                                          | p1(X2) ) )
                                                                                                                                                                & ! [X1] :
                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                    | p1(X1) ) ) ) ) )
                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ~ ( ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ! [X1] :
                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                | p1(X1) ) )
                                                                                                                                                      & ! [X2] :
                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                          | p1(X2) ) ) ) ) )
                                                                                                                                  | ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ( ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | p1(X2) ) )
                                                                                                                                            & ! [X1] :
                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                | p1(X1) ) ) ) ) )
                                                                                                                        | ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | p1(X1) ) )
                                                                                                                                  & ! [X2] :
                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                      | p1(X2) ) ) ) ) )
                                                                                                              | ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ! [X2] :
                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                  | p1(X2) ) )
                                                                                                                        & ! [X1] :
                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                            | p1(X1) ) ) ) ) )
                                                                                                    | ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | p1(X1) ) )
                                                                                                              & ! [X2] :
                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                  | p1(X2) ) ) ) ) )
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | p1(X2) ) )
                                                                                                    & ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | p1(X1) ) ) ) ) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | p1(X1) ) )
                                                                                          & ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | p1(X2) ) ) ) ) )
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | p1(X2) ) )
                                                                                & ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | p1(X1) ) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | p1(X1) ) )
                                                                      & ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | p1(X2) ) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | p1(X2) ) )
                                                            & ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | p1(X1) ) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p1(X1) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p1(X2) ) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | p1(X2) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | p1(X1) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2) ) )
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | p1(X1) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | p1(X1) ) )
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | p1(X2) ) )
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | p1(X2) ) )
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | p1(X1) ) )
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | p1(X1) ) )
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) )
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p1(X2) ) )
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | p1(X1) ) )
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) )
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | p1(X2) ) )
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | p1(X2) ) )
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | p1(X1) ) )
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | p1(X1) ) )
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | p1(X2) ) )
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | p1(X2) ) )
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p1(X1) ) )
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p1(X1) ) )
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p1(X2) ) )
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ~ ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | p1(X2) ) )
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | p1(X1) ) )
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ~ ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | p1(X1) ) )
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | p1(X2) ) )
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | p1(X2) ) )
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | p1(X1) ) )
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | p1(X1) ) )
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | p1(X2) ) )
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ~ ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | p1(X2) ) )
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | p1(X1) ) )
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ~ ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | p1(X1) ) )
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | p1(X2) ) )
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ~ ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | p1(X2) ) )
                                                                              | ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | p1(X1) ) )
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ~ ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | p1(X1) ) )
                                                                                  | ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | p1(X2) ) )
                                                                              | ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ! [X1] :
                                                                                          ( ~ r1(X2,X1)
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | p1(X2) ) )
                                                                                      | ! [X1] :
                                                                                          ( ~ r1(X2,X1)
                                                                                          | p1(X1) ) )
                                                                                  | ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ! [X1] :
                                                                                          ( ~ r1(X2,X1)
                                                                                          | ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | ~ ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | p1(X1) ) )
                                                                                          | ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | p1(X2) ) )
                                                                                      | ! [X1] :
                                                                                          ( ~ r1(X2,X1)
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ! [X1] :
                                                                                                      ( ~ r1(X2,X1)
                                                                                                      | p2(X1) ) ) )
                                                                                      | ~ ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ p1(X1) ) )
                                                                                            | ~ ! [X2] :
                                                                                                  ( ~ r1(X1,X2)
                                                                                                  | ~ p1(X2) ) ) )
                                                                                  | ~ ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ p1(X2) ) )
                                                                                        | ~ ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | ~ p1(X1) ) ) )
                                                                              | ~ ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | ~ p1(X1) ) )
                                                                                    | ~ ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ~ p1(X2) ) ) )
                                                                          | ~ ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | ~ p1(X2) ) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ p1(X1) ) ) )
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ~ p1(X1) ) )
                                                                            | ~ ! [X2] :
                                                                                  ( ~ r1(X1,X2)
                                                                                  | ~ p1(X2) ) ) )
                                                                  | ~ ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ~ p1(X2) ) )
                                                                        | ~ ! [X1] :
                                                                              ( ~ r1(X2,X1)
                                                                              | ~ p1(X1) ) ) )
                                                              | ~ ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ p1(X1) ) )
                                                                    | ~ ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ~ p1(X2) ) ) )
                                                          | ~ ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ~ p1(X2) ) )
                                                                | ~ ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ~ p1(X1) ) ) )
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ~ p1(X1) ) )
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ p1(X2) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ~ p1(X2) ) )
                                                        | ~ ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ~ p1(X1) ) ) )
                                              | ~ ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ p1(X1) ) )
                                                    | ~ ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ~ p1(X2) ) ) )
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ p1(X2) ) )
                                                | ~ ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | ~ p1(X1) ) ) )
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ p1(X1) ) )
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p1(X2) ) ) )
                                  | ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ p1(X2) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ p1(X1) ) ) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ p1(X1) ) )
                                    | ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p1(X2) ) ) )
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ p1(X2) ) )
                                | ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ p1(X1) ) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ p1(X1) ) )
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p1(X2) ) ) )
                  | ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ p1(X2) ) )
                        | ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p1(X1) ) ) )
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ p1(X1) ) )
                    | ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p1(X2) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p1(X2) ) )
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ p1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(c_0_1,plain,
    ! [X1] :
      ( epred5_1(X1)
    <=> ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ p1(X1) ) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ p1(X2) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ p1(X2) ) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ p1(X1) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ p1(X1) ) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p1(X2) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ p1(X2) ) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ p1(X1) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ p1(X1) ) ) )
                                                            & ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ p1(X2) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ~ ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ~ p1(X2) ) ) )
                                                                      & ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ~ ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ~ p1(X1) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ~ ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | ~ p1(X1) ) ) )
                                                                                & ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ~ ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ~ p1(X2) ) ) ) )
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p1(X2) ) ) )
                                                                                          & ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | ~ ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ p1(X1) ) ) ) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ~ ! [X1] :
                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                    | ~ p1(X1) ) ) )
                                                                                                    & ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | ~ ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ~ p1(X2) ) ) ) )
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | ~ ! [X2] :
                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                              | ~ p1(X2) ) ) )
                                                                                                              & ! [X2] :
                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                  | ~ ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | ~ p1(X1) ) ) ) )
                                                                                                    | ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ! [X2] :
                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                  | ~ ! [X1] :
                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                        | ~ p1(X1) ) ) )
                                                                                                                        & ! [X1] :
                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                            | ~ ! [X2] :
                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                  | ~ p1(X2) ) ) ) )
                                                                                                              | ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | ~ ! [X2] :
                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                  | ~ p1(X2) ) ) )
                                                                                                                                  & ! [X2] :
                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                      | ~ ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | ~ p1(X1) ) ) ) )
                                                                                                                        | ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ( ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                            | ~ p1(X1) ) ) )
                                                                                                                                            & ! [X1] :
                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | ~ p1(X2) ) ) ) )
                                                                                                                                  | ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ( ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ~ ( ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ! [X1] :
                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                      | ~ p1(X2) ) ) )
                                                                                                                                                      & ! [X2] :
                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                          | ~ ! [X1] :
                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                | ~ p1(X1) ) ) ) )
                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ~ ( ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ~ ( ~ ! [X1] :
                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                      | ! [X2] :
                                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                                          | ~ ! [X1] :
                                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                                | ~ p1(X1) ) ) )
                                                                                                                                                                & ! [X1] :
                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                    | ~ ! [X2] :
                                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                                          | ~ p1(X2) ) ) ) )
                                                                                                                                                      | ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ~ ( ~ ! [X1] :
                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                      | ~ ( ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ! [X1] :
                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                    | ~ ! [X2] :
                                                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                                                          | ~ p1(X2) ) ) )
                                                                                                                                                                          & ! [X2] :
                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                    | ~ p1(X1) ) ) ) )
                                                                                                                                                                | ~ ! [X1] :
                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                      | ~ ( ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ~ ! [X1] :
                                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                                      | ! [X2] :
                                                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                                                          | p3(X2) )
                                                                                                                                                                                      | ~ p2(X1) ) )
                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ~ ( ~ ! [X1] :
                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                          | ~ ( ! [X2] :
                                                                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                                                                  | p3(X2) )
                                                                                                                                                                                              | ~ p2(X1) ) )
                                                                                                                                                                                    & p2(X2)
                                                                                                                                                                                    & ~ ! [X1] :
                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                                | ~ ! [X1] :
                                                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                                                      | ~ p2(X1) ) ) ) ) )
                                                                                                                                                                          | ( ~ ! [X2] :
                                                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                                                  | ! [X1] :
                                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                                      | ~ ! [X2] :
                                                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                                                            | ! [X1] :
                                                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                                                | p3(X1) )
                                                                                                                                                                                            | ~ p2(X2) ) ) )
                                                                                                                                                                            & ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ~ ! [X1] :
                                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                                      | ~ p2(X1) ) ) )
                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ~ ( ! [X1] :
                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                        | ~ ! [X2] :
                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                              | ~ p2(X2) ) )
                                                                                                                                                                                    & ! [X1] :
                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                        | ~ ! [X2] :
                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                                    | ! [X2] :
                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                        | p3(X2) )
                                                                                                                                                                                                    | ~ p2(X1) ) ) ) ) )
                                                                                                                                                                          | ( ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ! [X1] :
                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                    | p3(X1) )
                                                                                                                                                                                | ~ p2(X2) )
                                                                                                                                                                            & ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ~ ! [X1] :
                                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                                      | ~ p2(X1) ) ) ) ) )
                                                                                                                                                                | ~ ! [X1] :
                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                      | ~ ( ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ! [X1] :
                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                    | p1(X1) ) )
                                                                                                                                                                          & ! [X2] :
                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                              | p1(X2) ) ) ) ) )
                                                                                                                                                      | ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ~ ( ~ ! [X1] :
                                                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                                                      | ! [X2] :
                                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                                          | p1(X2) ) )
                                                                                                                                                                & ! [X1] :
                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                    | p1(X1) ) ) ) ) )
                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ~ ( ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ! [X1] :
                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                | p1(X1) ) )
                                                                                                                                                      & ! [X2] :
                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                          | p1(X2) ) ) ) ) )
                                                                                                                                  | ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ( ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | p1(X2) ) )
                                                                                                                                            & ! [X1] :
                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                | p1(X1) ) ) ) ) )
                                                                                                                        | ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | p1(X1) ) )
                                                                                                                                  & ! [X2] :
                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                      | p1(X2) ) ) ) ) )
                                                                                                              | ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ! [X2] :
                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                  | p1(X2) ) )
                                                                                                                        & ! [X1] :
                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                            | p1(X1) ) ) ) ) )
                                                                                                    | ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | p1(X1) ) )
                                                                                                              & ! [X2] :
                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                  | p1(X2) ) ) ) ) )
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | p1(X2) ) )
                                                                                                    & ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | p1(X1) ) ) ) ) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | p1(X1) ) )
                                                                                          & ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | p1(X2) ) ) ) ) )
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | p1(X2) ) )
                                                                                & ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | p1(X1) ) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | p1(X1) ) )
                                                                      & ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | p1(X2) ) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | p1(X2) ) )
                                                            & ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | p1(X1) ) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p1(X1) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p1(X2) ) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | p1(X2) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | p1(X1) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p4(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ p1(X1) ) ) )
                      & ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ p1(X2) ) ) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ p1(X2) ) ) )
                                & ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ p1(X1) ) ) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ~ ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ~ p1(X1) ) ) )
                                          & ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ~ p1(X2) ) ) ) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ~ ( ~ ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ~ ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ~ p1(X2) ) ) )
                                                    & ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ~ p1(X1) ) ) ) )
                                          | ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | epred5_1(X1) )
                                          | ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ~ ( ~ ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | p1(X1) ) )
                                                    & ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | p1(X2) ) ) ) ) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | p1(X2) ) )
                                          & ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p1(X1) ) ) ) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | p1(X1) ) )
                                & ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p1(X2) ) ) ) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | p1(X2) ) )
                      & ! [X1] :
                          ( ~ r1(X2,X1)
                          | p1(X1) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | p1(X2) ) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2) ) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p1(X1) ) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p1(X1) ) )
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | p1(X2) ) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p1(X2) ) )
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | p1(X1) ) )
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p1(X1) ) )
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p1(X2) ) )
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | p1(X2) ) )
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) )
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | p1(X1) ) )
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | p1(X2) ) )
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | p1(X2) ) )
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | p1(X1) ) )
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | p1(X1) ) )
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | p1(X2) ) )
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | p1(X2) ) )
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p1(X1) ) )
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ~ ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | p1(X1) ) )
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | p1(X2) ) )
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ~ ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | p1(X2) ) )
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | p1(X1) ) )
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ~ ! [X1] :
                                                                              ( ~ r1(X2,X1)
                                                                              | p1(X1) ) )
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | p1(X2) ) )
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ ! [X2] :
                                                                                  ( ~ r1(X1,X2)
                                                                                  | p1(X2) ) )
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | p1(X1) ) )
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | p1(X1) ) )
                                                                            | ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | p1(X2) ) )
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ~ ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | p1(X2) ) )
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | p1(X1) ) )
                                                                            | ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | ~ ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | p1(X1) ) )
                                                                                    | ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | p1(X2) ) )
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | ~ ! [X2] :
                                                                                                  ( ~ r1(X1,X2)
                                                                                                  | p1(X2) ) )
                                                                                        | ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | p1(X1) ) )
                                                                                    | ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ! [X1] :
                                                                                                      ( ~ r1(X2,X1)
                                                                                                      | p1(X1) ) )
                                                                                            | ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | p1(X2) ) )
                                                                                        | ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | ~ ! [X2] :
                                                                                                  ( ~ r1(X1,X2)
                                                                                                  | ~ ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | p2(X1) ) ) )
                                                                                        | ~ ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | ! [X2] :
                                                                                                  ( ~ r1(X1,X2)
                                                                                                  | ! [X1] :
                                                                                                      ( ~ r1(X2,X1)
                                                                                                      | ~ p1(X1) ) )
                                                                                              | ~ ! [X2] :
                                                                                                    ( ~ r1(X1,X2)
                                                                                                    | ~ p1(X2) ) ) )
                                                                                    | ~ ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | ! [X2] :
                                                                                                  ( ~ r1(X1,X2)
                                                                                                  | ~ p1(X2) ) )
                                                                                          | ~ ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | ~ p1(X1) ) ) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | ~ p1(X1) ) )
                                                                                      | ~ ! [X2] :
                                                                                            ( ~ r1(X1,X2)
                                                                                            | ~ p1(X2) ) ) )
                                                                            | ~ ! [X2] :
                                                                                  ( ~ r1(X1,X2)
                                                                                  | ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ~ p1(X2) ) )
                                                                                  | ~ ! [X1] :
                                                                                        ( ~ r1(X2,X1)
                                                                                        | ~ p1(X1) ) ) )
                                                                        | ~ ! [X1] :
                                                                              ( ~ r1(X2,X1)
                                                                              | ! [X2] :
                                                                                  ( ~ r1(X1,X2)
                                                                                  | ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ p1(X1) ) )
                                                                              | ~ ! [X2] :
                                                                                    ( ~ r1(X1,X2)
                                                                                    | ~ p1(X2) ) ) )
                                                                    | ~ ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ! [X1] :
                                                                              ( ~ r1(X2,X1)
                                                                              | ! [X2] :
                                                                                  ( ~ r1(X1,X2)
                                                                                  | ~ p1(X2) ) )
                                                                          | ~ ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ~ p1(X1) ) ) )
                                                                | ~ ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ! [X1] :
                                                                              ( ~ r1(X2,X1)
                                                                              | ~ p1(X1) ) )
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ p1(X2) ) ) )
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ~ p1(X2) ) )
                                                                  | ~ ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | ~ p1(X1) ) ) )
                                                        | ~ ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ~ p1(X1) ) )
                                                              | ~ ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ~ p1(X2) ) ) )
                                                    | ~ ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ p1(X2) ) )
                                                          | ~ ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ p1(X1) ) ) )
                                                | ~ ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ~ p1(X1) ) )
                                                      | ~ ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ~ p1(X2) ) ) )
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ~ p1(X2) ) )
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ p1(X1) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | ~ p1(X1) ) )
                                              | ~ ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ~ p1(X2) ) ) )
                                    | ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p1(X2) ) )
                                          | ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ~ p1(X1) ) ) )
                                | ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ p1(X1) ) )
                                      | ~ ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ~ p1(X2) ) ) )
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p1(X2) ) )
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ p1(X1) ) ) )
                        | ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ p1(X1) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ p1(X2) ) ) )
                    | ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p1(X2) ) )
                          | ~ ! [X1] :
                                ( ~ r1(X2,X1)
                                | ~ p1(X1) ) ) )
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p1(X1) ) )
                      | ~ ! [X2] :
                            ( ~ r1(X1,X2)
                            | ~ p1(X2) ) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p1(X2) ) )
                  | ~ ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ p1(X1) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ! [X4,X5,X6,X7,X10,X11,X12,X13,X14,X17,X18,X19,X20,X21,X24,X25,X26,X27,X28,X31,X32,X33,X34,X35,X37,X38,X39,X41,X42,X43,X45,X46,X47,X51,X56,X61,X66,X71,X76,X81,X86,X91,X96,X101,X106,X111,X116,X121,X126,X131,X136,X141,X146,X149,X151,X152,X153,X155,X156,X157,X159,X160,X161,X163,X164,X165,X167,X168,X169,X171,X172,X173,X175,X176,X177,X179,X180,X181,X183,X184,X185,X187,X188,X189,X191,X192,X193,X195,X196,X197,X199,X200,X201,X203,X204,X205,X207,X208,X209,X211,X212,X213,X215,X216,X217,X219,X220,X221,X223,X224,X225,X227,X228,X229] :
      ( ( ~ r1(esk1_0,X4)
        | ~ p4(X4) )
      & ( r1(X5,esk3_1(X5))
        | r1(X7,esk2_3(X5,X6,X7))
        | ~ r1(X6,X7)
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk3_1(X5),X10)
        | ~ p1(X10)
        | r1(X7,esk2_3(X5,X6,X7))
        | ~ r1(X6,X7)
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( r1(X5,esk3_1(X5))
        | p1(esk2_3(X5,X6,X7))
        | ~ r1(X6,X7)
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk3_1(X5),X10)
        | ~ p1(X10)
        | p1(esk2_3(X5,X6,X7))
        | ~ r1(X6,X7)
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( r1(X12,esk5_2(X11,X12))
        | r1(X14,esk4_4(X11,X12,X13,X14))
        | ~ r1(X13,X14)
        | ~ r1(X12,X13)
        | ~ r1(X11,X12)
        | ~ r1(esk1_0,X11) )
      & ( ~ r1(esk5_2(X11,X12),X17)
        | ~ p1(X17)
        | r1(X14,esk4_4(X11,X12,X13,X14))
        | ~ r1(X13,X14)
        | ~ r1(X12,X13)
        | ~ r1(X11,X12)
        | ~ r1(esk1_0,X11) )
      & ( r1(X12,esk5_2(X11,X12))
        | p1(esk4_4(X11,X12,X13,X14))
        | ~ r1(X13,X14)
        | ~ r1(X12,X13)
        | ~ r1(X11,X12)
        | ~ r1(esk1_0,X11) )
      & ( ~ r1(esk5_2(X11,X12),X17)
        | ~ p1(X17)
        | p1(esk4_4(X11,X12,X13,X14))
        | ~ r1(X13,X14)
        | ~ r1(X12,X13)
        | ~ r1(X11,X12)
        | ~ r1(esk1_0,X11) )
      & ( r1(X19,esk7_3(X11,X18,X19))
        | r1(X21,esk6_5(X11,X18,X19,X20,X21))
        | ~ r1(X20,X21)
        | ~ r1(X19,X20)
        | ~ r1(X18,X19)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( ~ r1(esk7_3(X11,X18,X19),X24)
        | ~ p1(X24)
        | r1(X21,esk6_5(X11,X18,X19,X20,X21))
        | ~ r1(X20,X21)
        | ~ r1(X19,X20)
        | ~ r1(X18,X19)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( r1(X19,esk7_3(X11,X18,X19))
        | p1(esk6_5(X11,X18,X19,X20,X21))
        | ~ r1(X20,X21)
        | ~ r1(X19,X20)
        | ~ r1(X18,X19)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( ~ r1(esk7_3(X11,X18,X19),X24)
        | ~ p1(X24)
        | p1(esk6_5(X11,X18,X19,X20,X21))
        | ~ r1(X20,X21)
        | ~ r1(X19,X20)
        | ~ r1(X18,X19)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( r1(X26,esk9_4(X11,X18,X25,X26))
        | r1(X28,esk8_6(X11,X18,X25,X26,X27,X28))
        | ~ r1(X27,X28)
        | ~ r1(X26,X27)
        | ~ r1(X25,X26)
        | ~ r1(X18,X25)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( ~ r1(esk9_4(X11,X18,X25,X26),X31)
        | ~ p1(X31)
        | r1(X28,esk8_6(X11,X18,X25,X26,X27,X28))
        | ~ r1(X27,X28)
        | ~ r1(X26,X27)
        | ~ r1(X25,X26)
        | ~ r1(X18,X25)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( r1(X26,esk9_4(X11,X18,X25,X26))
        | p1(esk8_6(X11,X18,X25,X26,X27,X28))
        | ~ r1(X27,X28)
        | ~ r1(X26,X27)
        | ~ r1(X25,X26)
        | ~ r1(X18,X25)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( ~ r1(esk9_4(X11,X18,X25,X26),X31)
        | ~ p1(X31)
        | p1(esk8_6(X11,X18,X25,X26,X27,X28))
        | ~ r1(X27,X28)
        | ~ r1(X26,X27)
        | ~ r1(X25,X26)
        | ~ r1(X18,X25)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( ~ r1(X25,X32)
        | epred5_1(X32)
        | ~ r1(X18,X25)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( r1(X33,esk10_4(X11,X18,X25,X33))
        | ~ r1(X33,X34)
        | ~ r1(X34,X35)
        | p1(X35)
        | ~ r1(X25,X33)
        | ~ r1(X18,X25)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( ~ p1(esk10_4(X11,X18,X25,X33))
        | ~ r1(X33,X34)
        | ~ r1(X34,X35)
        | p1(X35)
        | ~ r1(X25,X33)
        | ~ r1(X18,X25)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( r1(X37,esk11_3(X11,X18,X37))
        | ~ r1(X37,X38)
        | ~ r1(X38,X39)
        | p1(X39)
        | ~ r1(X18,X37)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( ~ p1(esk11_3(X11,X18,X37))
        | ~ r1(X37,X38)
        | ~ r1(X38,X39)
        | p1(X39)
        | ~ r1(X18,X37)
        | ~ r1(X11,X18)
        | ~ r1(esk1_0,X11) )
      & ( r1(X41,esk12_2(X11,X41))
        | ~ r1(X41,X42)
        | ~ r1(X42,X43)
        | p1(X43)
        | ~ r1(X11,X41)
        | ~ r1(esk1_0,X11) )
      & ( ~ p1(esk12_2(X11,X41))
        | ~ r1(X41,X42)
        | ~ r1(X42,X43)
        | p1(X43)
        | ~ r1(X11,X41)
        | ~ r1(esk1_0,X11) )
      & ( r1(X45,esk13_1(X45))
        | ~ r1(X45,X46)
        | ~ r1(X46,X47)
        | p1(X47)
        | ~ r1(esk1_0,X45) )
      & ( ~ p1(esk13_1(X45))
        | ~ r1(X45,X46)
        | ~ r1(X46,X47)
        | p1(X47)
        | ~ r1(esk1_0,X45) )
      & r1(esk1_0,esk14_0)
      & r1(esk14_0,esk15_0)
      & ( ~ r1(esk15_0,X51)
        | p1(X51) )
      & r1(esk14_0,esk16_0)
      & ~ p1(esk16_0)
      & r1(esk1_0,esk17_0)
      & r1(esk17_0,esk18_0)
      & r1(esk18_0,esk19_0)
      & ( ~ r1(esk19_0,X56)
        | p1(X56) )
      & r1(esk18_0,esk20_0)
      & ~ p1(esk20_0)
      & r1(esk17_0,esk21_0)
      & r1(esk21_0,esk22_0)
      & r1(esk22_0,esk23_0)
      & ( ~ r1(esk23_0,X61)
        | p1(X61) )
      & r1(esk22_0,esk24_0)
      & ~ p1(esk24_0)
      & r1(esk21_0,esk25_0)
      & r1(esk25_0,esk26_0)
      & r1(esk26_0,esk27_0)
      & ( ~ r1(esk27_0,X66)
        | p1(X66) )
      & r1(esk26_0,esk28_0)
      & ~ p1(esk28_0)
      & r1(esk25_0,esk29_0)
      & r1(esk29_0,esk30_0)
      & r1(esk30_0,esk31_0)
      & ( ~ r1(esk31_0,X71)
        | p1(X71) )
      & r1(esk30_0,esk32_0)
      & ~ p1(esk32_0)
      & r1(esk29_0,esk33_0)
      & r1(esk33_0,esk34_0)
      & r1(esk34_0,esk35_0)
      & ( ~ r1(esk35_0,X76)
        | p1(X76) )
      & r1(esk34_0,esk36_0)
      & ~ p1(esk36_0)
      & r1(esk33_0,esk37_0)
      & r1(esk37_0,esk38_0)
      & r1(esk38_0,esk39_0)
      & ( ~ r1(esk39_0,X81)
        | p1(X81) )
      & r1(esk38_0,esk40_0)
      & ~ p1(esk40_0)
      & r1(esk37_0,esk41_0)
      & r1(esk41_0,esk42_0)
      & r1(esk42_0,esk43_0)
      & ( ~ r1(esk43_0,X86)
        | p1(X86) )
      & r1(esk42_0,esk44_0)
      & ~ p1(esk44_0)
      & r1(esk41_0,esk45_0)
      & r1(esk45_0,esk46_0)
      & r1(esk46_0,esk47_0)
      & ( ~ r1(esk47_0,X91)
        | p1(X91) )
      & r1(esk46_0,esk48_0)
      & ~ p1(esk48_0)
      & r1(esk45_0,esk49_0)
      & r1(esk49_0,esk50_0)
      & r1(esk50_0,esk51_0)
      & ( ~ r1(esk51_0,X96)
        | p1(X96) )
      & r1(esk50_0,esk52_0)
      & ~ p1(esk52_0)
      & r1(esk49_0,esk53_0)
      & r1(esk53_0,esk54_0)
      & r1(esk54_0,esk55_0)
      & ( ~ r1(esk55_0,X101)
        | p1(X101) )
      & r1(esk54_0,esk56_0)
      & ~ p1(esk56_0)
      & r1(esk53_0,esk57_0)
      & r1(esk57_0,esk58_0)
      & r1(esk58_0,esk59_0)
      & ( ~ r1(esk59_0,X106)
        | p1(X106) )
      & r1(esk58_0,esk60_0)
      & ~ p1(esk60_0)
      & r1(esk57_0,esk61_0)
      & r1(esk61_0,esk62_0)
      & r1(esk62_0,esk63_0)
      & ( ~ r1(esk63_0,X111)
        | p1(X111) )
      & r1(esk62_0,esk64_0)
      & ~ p1(esk64_0)
      & r1(esk61_0,esk65_0)
      & r1(esk65_0,esk66_0)
      & r1(esk66_0,esk67_0)
      & ( ~ r1(esk67_0,X116)
        | p1(X116) )
      & r1(esk66_0,esk68_0)
      & ~ p1(esk68_0)
      & r1(esk65_0,esk69_0)
      & r1(esk69_0,esk70_0)
      & r1(esk70_0,esk71_0)
      & ( ~ r1(esk71_0,X121)
        | p1(X121) )
      & r1(esk70_0,esk72_0)
      & ~ p1(esk72_0)
      & r1(esk69_0,esk73_0)
      & r1(esk73_0,esk74_0)
      & r1(esk74_0,esk75_0)
      & ( ~ r1(esk75_0,X126)
        | p1(X126) )
      & r1(esk74_0,esk76_0)
      & ~ p1(esk76_0)
      & r1(esk73_0,esk77_0)
      & r1(esk77_0,esk78_0)
      & r1(esk78_0,esk79_0)
      & ( ~ r1(esk79_0,X131)
        | p1(X131) )
      & r1(esk78_0,esk80_0)
      & ~ p1(esk80_0)
      & r1(esk77_0,esk81_0)
      & r1(esk81_0,esk82_0)
      & r1(esk82_0,esk83_0)
      & ( ~ r1(esk83_0,X136)
        | p1(X136) )
      & r1(esk82_0,esk84_0)
      & ~ p1(esk84_0)
      & r1(esk81_0,esk85_0)
      & r1(esk85_0,esk86_0)
      & r1(esk86_0,esk87_0)
      & ( ~ r1(esk87_0,X141)
        | p1(X141) )
      & r1(esk86_0,esk88_0)
      & ~ p1(esk88_0)
      & r1(esk85_0,esk89_0)
      & r1(esk89_0,esk90_0)
      & r1(esk90_0,esk91_0)
      & ( ~ r1(esk91_0,X146)
        | p1(X146) )
      & r1(esk90_0,esk92_0)
      & ~ p1(esk92_0)
      & r1(esk89_0,esk93_0)
      & ( r1(X149,esk94_1(X149))
        | ~ r1(esk93_0,X149) )
      & ( ~ p2(esk94_1(X149))
        | ~ r1(esk93_0,X149) )
      & ( r1(X151,esk95_1(X151))
        | ~ r1(esk89_0,X151)
        | ~ r1(X151,X152)
        | ~ r1(X152,X153)
        | ~ p1(X153) )
      & ( p1(esk95_1(X151))
        | ~ r1(esk89_0,X151)
        | ~ r1(X151,X152)
        | ~ r1(X152,X153)
        | ~ p1(X153) )
      & ( r1(X155,esk96_1(X155))
        | ~ r1(esk85_0,X155)
        | ~ r1(X155,X156)
        | ~ r1(X156,X157)
        | ~ p1(X157) )
      & ( p1(esk96_1(X155))
        | ~ r1(esk85_0,X155)
        | ~ r1(X155,X156)
        | ~ r1(X156,X157)
        | ~ p1(X157) )
      & ( r1(X159,esk97_1(X159))
        | ~ r1(esk81_0,X159)
        | ~ r1(X159,X160)
        | ~ r1(X160,X161)
        | ~ p1(X161) )
      & ( p1(esk97_1(X159))
        | ~ r1(esk81_0,X159)
        | ~ r1(X159,X160)
        | ~ r1(X160,X161)
        | ~ p1(X161) )
      & ( r1(X163,esk98_1(X163))
        | ~ r1(esk77_0,X163)
        | ~ r1(X163,X164)
        | ~ r1(X164,X165)
        | ~ p1(X165) )
      & ( p1(esk98_1(X163))
        | ~ r1(esk77_0,X163)
        | ~ r1(X163,X164)
        | ~ r1(X164,X165)
        | ~ p1(X165) )
      & ( r1(X167,esk99_1(X167))
        | ~ r1(esk73_0,X167)
        | ~ r1(X167,X168)
        | ~ r1(X168,X169)
        | ~ p1(X169) )
      & ( p1(esk99_1(X167))
        | ~ r1(esk73_0,X167)
        | ~ r1(X167,X168)
        | ~ r1(X168,X169)
        | ~ p1(X169) )
      & ( r1(X171,esk100_1(X171))
        | ~ r1(esk69_0,X171)
        | ~ r1(X171,X172)
        | ~ r1(X172,X173)
        | ~ p1(X173) )
      & ( p1(esk100_1(X171))
        | ~ r1(esk69_0,X171)
        | ~ r1(X171,X172)
        | ~ r1(X172,X173)
        | ~ p1(X173) )
      & ( r1(X175,esk101_1(X175))
        | ~ r1(esk65_0,X175)
        | ~ r1(X175,X176)
        | ~ r1(X176,X177)
        | ~ p1(X177) )
      & ( p1(esk101_1(X175))
        | ~ r1(esk65_0,X175)
        | ~ r1(X175,X176)
        | ~ r1(X176,X177)
        | ~ p1(X177) )
      & ( r1(X179,esk102_1(X179))
        | ~ r1(esk61_0,X179)
        | ~ r1(X179,X180)
        | ~ r1(X180,X181)
        | ~ p1(X181) )
      & ( p1(esk102_1(X179))
        | ~ r1(esk61_0,X179)
        | ~ r1(X179,X180)
        | ~ r1(X180,X181)
        | ~ p1(X181) )
      & ( r1(X183,esk103_1(X183))
        | ~ r1(esk57_0,X183)
        | ~ r1(X183,X184)
        | ~ r1(X184,X185)
        | ~ p1(X185) )
      & ( p1(esk103_1(X183))
        | ~ r1(esk57_0,X183)
        | ~ r1(X183,X184)
        | ~ r1(X184,X185)
        | ~ p1(X185) )
      & ( r1(X187,esk104_1(X187))
        | ~ r1(esk53_0,X187)
        | ~ r1(X187,X188)
        | ~ r1(X188,X189)
        | ~ p1(X189) )
      & ( p1(esk104_1(X187))
        | ~ r1(esk53_0,X187)
        | ~ r1(X187,X188)
        | ~ r1(X188,X189)
        | ~ p1(X189) )
      & ( r1(X191,esk105_1(X191))
        | ~ r1(esk49_0,X191)
        | ~ r1(X191,X192)
        | ~ r1(X192,X193)
        | ~ p1(X193) )
      & ( p1(esk105_1(X191))
        | ~ r1(esk49_0,X191)
        | ~ r1(X191,X192)
        | ~ r1(X192,X193)
        | ~ p1(X193) )
      & ( r1(X195,esk106_1(X195))
        | ~ r1(esk45_0,X195)
        | ~ r1(X195,X196)
        | ~ r1(X196,X197)
        | ~ p1(X197) )
      & ( p1(esk106_1(X195))
        | ~ r1(esk45_0,X195)
        | ~ r1(X195,X196)
        | ~ r1(X196,X197)
        | ~ p1(X197) )
      & ( r1(X199,esk107_1(X199))
        | ~ r1(esk41_0,X199)
        | ~ r1(X199,X200)
        | ~ r1(X200,X201)
        | ~ p1(X201) )
      & ( p1(esk107_1(X199))
        | ~ r1(esk41_0,X199)
        | ~ r1(X199,X200)
        | ~ r1(X200,X201)
        | ~ p1(X201) )
      & ( r1(X203,esk108_1(X203))
        | ~ r1(esk37_0,X203)
        | ~ r1(X203,X204)
        | ~ r1(X204,X205)
        | ~ p1(X205) )
      & ( p1(esk108_1(X203))
        | ~ r1(esk37_0,X203)
        | ~ r1(X203,X204)
        | ~ r1(X204,X205)
        | ~ p1(X205) )
      & ( r1(X207,esk109_1(X207))
        | ~ r1(esk33_0,X207)
        | ~ r1(X207,X208)
        | ~ r1(X208,X209)
        | ~ p1(X209) )
      & ( p1(esk109_1(X207))
        | ~ r1(esk33_0,X207)
        | ~ r1(X207,X208)
        | ~ r1(X208,X209)
        | ~ p1(X209) )
      & ( r1(X211,esk110_1(X211))
        | ~ r1(esk29_0,X211)
        | ~ r1(X211,X212)
        | ~ r1(X212,X213)
        | ~ p1(X213) )
      & ( p1(esk110_1(X211))
        | ~ r1(esk29_0,X211)
        | ~ r1(X211,X212)
        | ~ r1(X212,X213)
        | ~ p1(X213) )
      & ( r1(X215,esk111_1(X215))
        | ~ r1(esk25_0,X215)
        | ~ r1(X215,X216)
        | ~ r1(X216,X217)
        | ~ p1(X217) )
      & ( p1(esk111_1(X215))
        | ~ r1(esk25_0,X215)
        | ~ r1(X215,X216)
        | ~ r1(X216,X217)
        | ~ p1(X217) )
      & ( r1(X219,esk112_1(X219))
        | ~ r1(esk21_0,X219)
        | ~ r1(X219,X220)
        | ~ r1(X220,X221)
        | ~ p1(X221) )
      & ( p1(esk112_1(X219))
        | ~ r1(esk21_0,X219)
        | ~ r1(X219,X220)
        | ~ r1(X220,X221)
        | ~ p1(X221) )
      & ( r1(X223,esk113_1(X223))
        | ~ r1(esk17_0,X223)
        | ~ r1(X223,X224)
        | ~ r1(X224,X225)
        | ~ p1(X225) )
      & ( p1(esk113_1(X223))
        | ~ r1(esk17_0,X223)
        | ~ r1(X223,X224)
        | ~ r1(X224,X225)
        | ~ p1(X225) )
      & ( r1(X227,esk114_1(X227))
        | ~ r1(esk1_0,X227)
        | ~ r1(X227,X228)
        | ~ r1(X228,X229)
        | ~ p1(X229) )
      & ( p1(esk114_1(X227))
        | ~ r1(esk1_0,X227)
        | ~ r1(X227,X228)
        | ~ r1(X228,X229)
        | ~ p1(X229) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

cnf(c_0_4,negated_conjecture,
    ( epred5_1(X2)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(esk1_0,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    r1(esk1_0,esk17_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_6,plain,
    ! [X1] :
      ( epred4_1(X1)
    <=> ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ p1(X1) ) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ p1(X2) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ p1(X2) ) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ p1(X1) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ p1(X1) ) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p1(X2) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ p1(X2) ) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ p1(X1) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ p1(X1) ) ) )
                                                            & ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ p1(X2) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ~ ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ~ p1(X2) ) ) )
                                                                      & ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ~ ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ~ p1(X1) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ~ ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | ~ p1(X1) ) ) )
                                                                                & ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ~ ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ~ p1(X2) ) ) ) )
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p1(X2) ) ) )
                                                                                          & ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | ~ ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ p1(X1) ) ) ) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ~ ! [X1] :
                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                    | ~ p1(X1) ) ) )
                                                                                                    & ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | ~ ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ~ p1(X2) ) ) ) )
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | ~ ! [X2] :
                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                              | ~ p1(X2) ) ) )
                                                                                                              & ! [X2] :
                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                  | ~ ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | ~ p1(X1) ) ) ) )
                                                                                                    | ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ! [X2] :
                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                  | ~ ! [X1] :
                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                        | ~ p1(X1) ) ) )
                                                                                                                        & ! [X1] :
                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                            | ~ ! [X2] :
                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                  | ~ p1(X2) ) ) ) )
                                                                                                              | ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | ~ ! [X2] :
                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                  | ~ p1(X2) ) ) )
                                                                                                                                  & ! [X2] :
                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                      | ~ ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | ~ p1(X1) ) ) ) )
                                                                                                                        | ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ! [X1] :
                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                              | ! [X2] :
                                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                                  | p3(X2) )
                                                                                                                                              | ~ p2(X1) ) )
                                                                                                                                  | ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ( ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ~ ( ! [X2] :
                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                          | p3(X2) )
                                                                                                                                                      | ~ p2(X1) ) )
                                                                                                                                            & p2(X2)
                                                                                                                                            & ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                        | ~ ! [X1] :
                                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                                              | ~ p2(X1) ) ) ) ) )
                                                                                                                                  | ( ~ ! [X2] :
                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                          | ! [X1] :
                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                              | ~ ! [X2] :
                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                    | ! [X1] :
                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                        | p3(X1) )
                                                                                                                                                    | ~ p2(X2) ) ) )
                                                                                                                                    & ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ! [X1] :
                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                              | ~ p2(X1) ) ) )
                                                                                                                                  | ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ( ! [X1] :
                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | ~ p2(X2) ) )
                                                                                                                                            & ! [X1] :
                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                            | ! [X2] :
                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                | p3(X2) )
                                                                                                                                                            | ~ p2(X1) ) ) ) ) )
                                                                                                                                  | ( ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | p3(X1) )
                                                                                                                                        | ~ p2(X2) )
                                                                                                                                    & ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ! [X1] :
                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                              | ~ p2(X1) ) ) ) ) )
                                                                                                                        | ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | p1(X1) ) )
                                                                                                                                  & ! [X2] :
                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                      | p1(X2) ) ) ) ) )
                                                                                                              | ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ! [X2] :
                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                  | p1(X2) ) )
                                                                                                                        & ! [X1] :
                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                            | p1(X1) ) ) ) ) )
                                                                                                    | ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | p1(X1) ) )
                                                                                                              & ! [X2] :
                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                  | p1(X2) ) ) ) ) )
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | p1(X2) ) )
                                                                                                    & ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | p1(X1) ) ) ) ) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | p1(X1) ) )
                                                                                          & ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | p1(X2) ) ) ) ) )
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | p1(X2) ) )
                                                                                & ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | p1(X1) ) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | p1(X1) ) )
                                                                      & ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | p1(X2) ) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | p1(X2) ) )
                                                            & ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | p1(X1) ) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p1(X1) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p1(X2) ) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | p1(X2) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | p1(X1) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) ) ) ) ) ),
    introduced(definition) ).

cnf(c_0_7,negated_conjecture,
    ( epred5_1(X1)
    | ~ r1(esk17_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    r1(esk17_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_9,plain,
    ! [X1] :
      ( epred5_1(X1)
     => ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ p1(X1) ) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ p1(X2) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ p1(X2) ) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ p1(X1) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ p1(X1) ) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p1(X2) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ p1(X2) ) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ p1(X1) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | epred4_1(X1) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p1(X1) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p1(X2) ) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | p1(X2) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | p1(X1) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_1]),c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ( epred5_1(X1)
    | ~ r1(esk21_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    r1(esk21_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_12,plain,
    ! [X393,X394,X395,X396,X399,X400,X401,X402,X403,X406,X407,X408,X409,X410,X413,X414,X415,X416,X417,X420,X421,X422,X423,X424,X426,X427,X428,X430,X431,X432,X434,X435,X436] :
      ( ( r1(X394,esk166_2(X393,X394))
        | r1(X396,esk165_4(X393,X394,X395,X396))
        | ~ r1(X395,X396)
        | ~ r1(X394,X395)
        | ~ r1(X393,X394)
        | ~ epred5_1(X393) )
      & ( ~ r1(esk166_2(X393,X394),X399)
        | ~ p1(X399)
        | r1(X396,esk165_4(X393,X394,X395,X396))
        | ~ r1(X395,X396)
        | ~ r1(X394,X395)
        | ~ r1(X393,X394)
        | ~ epred5_1(X393) )
      & ( r1(X394,esk166_2(X393,X394))
        | p1(esk165_4(X393,X394,X395,X396))
        | ~ r1(X395,X396)
        | ~ r1(X394,X395)
        | ~ r1(X393,X394)
        | ~ epred5_1(X393) )
      & ( ~ r1(esk166_2(X393,X394),X399)
        | ~ p1(X399)
        | p1(esk165_4(X393,X394,X395,X396))
        | ~ r1(X395,X396)
        | ~ r1(X394,X395)
        | ~ r1(X393,X394)
        | ~ epred5_1(X393) )
      & ( r1(X401,esk168_3(X393,X400,X401))
        | r1(X403,esk167_5(X393,X400,X401,X402,X403))
        | ~ r1(X402,X403)
        | ~ r1(X401,X402)
        | ~ r1(X400,X401)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( ~ r1(esk168_3(X393,X400,X401),X406)
        | ~ p1(X406)
        | r1(X403,esk167_5(X393,X400,X401,X402,X403))
        | ~ r1(X402,X403)
        | ~ r1(X401,X402)
        | ~ r1(X400,X401)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( r1(X401,esk168_3(X393,X400,X401))
        | p1(esk167_5(X393,X400,X401,X402,X403))
        | ~ r1(X402,X403)
        | ~ r1(X401,X402)
        | ~ r1(X400,X401)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( ~ r1(esk168_3(X393,X400,X401),X406)
        | ~ p1(X406)
        | p1(esk167_5(X393,X400,X401,X402,X403))
        | ~ r1(X402,X403)
        | ~ r1(X401,X402)
        | ~ r1(X400,X401)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( r1(X408,esk170_4(X393,X400,X407,X408))
        | r1(X410,esk169_6(X393,X400,X407,X408,X409,X410))
        | ~ r1(X409,X410)
        | ~ r1(X408,X409)
        | ~ r1(X407,X408)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( ~ r1(esk170_4(X393,X400,X407,X408),X413)
        | ~ p1(X413)
        | r1(X410,esk169_6(X393,X400,X407,X408,X409,X410))
        | ~ r1(X409,X410)
        | ~ r1(X408,X409)
        | ~ r1(X407,X408)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( r1(X408,esk170_4(X393,X400,X407,X408))
        | p1(esk169_6(X393,X400,X407,X408,X409,X410))
        | ~ r1(X409,X410)
        | ~ r1(X408,X409)
        | ~ r1(X407,X408)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( ~ r1(esk170_4(X393,X400,X407,X408),X413)
        | ~ p1(X413)
        | p1(esk169_6(X393,X400,X407,X408,X409,X410))
        | ~ r1(X409,X410)
        | ~ r1(X408,X409)
        | ~ r1(X407,X408)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( r1(X415,esk172_5(X393,X400,X407,X414,X415))
        | r1(X417,esk171_7(X393,X400,X407,X414,X415,X416,X417))
        | ~ r1(X416,X417)
        | ~ r1(X415,X416)
        | ~ r1(X414,X415)
        | ~ r1(X407,X414)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( ~ r1(esk172_5(X393,X400,X407,X414,X415),X420)
        | ~ p1(X420)
        | r1(X417,esk171_7(X393,X400,X407,X414,X415,X416,X417))
        | ~ r1(X416,X417)
        | ~ r1(X415,X416)
        | ~ r1(X414,X415)
        | ~ r1(X407,X414)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( r1(X415,esk172_5(X393,X400,X407,X414,X415))
        | p1(esk171_7(X393,X400,X407,X414,X415,X416,X417))
        | ~ r1(X416,X417)
        | ~ r1(X415,X416)
        | ~ r1(X414,X415)
        | ~ r1(X407,X414)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( ~ r1(esk172_5(X393,X400,X407,X414,X415),X420)
        | ~ p1(X420)
        | p1(esk171_7(X393,X400,X407,X414,X415,X416,X417))
        | ~ r1(X416,X417)
        | ~ r1(X415,X416)
        | ~ r1(X414,X415)
        | ~ r1(X407,X414)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( ~ r1(X414,X421)
        | epred4_1(X421)
        | ~ r1(X407,X414)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( r1(X422,esk173_5(X393,X400,X407,X414,X422))
        | ~ r1(X422,X423)
        | ~ r1(X423,X424)
        | p1(X424)
        | ~ r1(X414,X422)
        | ~ r1(X407,X414)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( ~ p1(esk173_5(X393,X400,X407,X414,X422))
        | ~ r1(X422,X423)
        | ~ r1(X423,X424)
        | p1(X424)
        | ~ r1(X414,X422)
        | ~ r1(X407,X414)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( r1(X426,esk174_4(X393,X400,X407,X426))
        | ~ r1(X426,X427)
        | ~ r1(X427,X428)
        | p1(X428)
        | ~ r1(X407,X426)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( ~ p1(esk174_4(X393,X400,X407,X426))
        | ~ r1(X426,X427)
        | ~ r1(X427,X428)
        | p1(X428)
        | ~ r1(X407,X426)
        | ~ r1(X400,X407)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( r1(X430,esk175_3(X393,X400,X430))
        | ~ r1(X430,X431)
        | ~ r1(X431,X432)
        | p1(X432)
        | ~ r1(X400,X430)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( ~ p1(esk175_3(X393,X400,X430))
        | ~ r1(X430,X431)
        | ~ r1(X431,X432)
        | p1(X432)
        | ~ r1(X400,X430)
        | ~ r1(X393,X400)
        | ~ epred5_1(X393) )
      & ( r1(X434,esk176_2(X393,X434))
        | ~ r1(X434,X435)
        | ~ r1(X435,X436)
        | p1(X436)
        | ~ r1(X393,X434)
        | ~ epred5_1(X393) )
      & ( ~ p1(esk176_2(X393,X434))
        | ~ r1(X434,X435)
        | ~ r1(X435,X436)
        | p1(X436)
        | ~ r1(X393,X434)
        | ~ epred5_1(X393) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

cnf(c_0_13,negated_conjecture,
    ( epred5_1(X1)
    | ~ r1(esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    r1(esk25_0,esk29_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_15,plain,
    ! [X1] :
      ( epred3_1(X1)
    <=> ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ p1(X1) ) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ p1(X2) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ p1(X2) ) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ p1(X1) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ p1(X1) ) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p1(X2) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ p1(X2) ) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ p1(X1) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ p1(X1) ) ) )
                                                            & ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ p1(X2) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ~ ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ~ p1(X2) ) ) )
                                                                      & ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ~ ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ~ p1(X1) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ~ ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | ~ p1(X1) ) ) )
                                                                                & ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ~ ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ~ p1(X2) ) ) ) )
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p1(X2) ) ) )
                                                                                          & ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | ~ ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ p1(X1) ) ) ) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ! [X1] :
                                                                                                      ( ~ r1(X2,X1)
                                                                                                      | ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p3(X2) )
                                                                                                      | ~ p2(X1) ) )
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ! [X2] :
                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                  | p3(X2) )
                                                                                                              | ~ p2(X1) ) )
                                                                                                    & p2(X2)
                                                                                                    & ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ! [X2] :
                                                                                                                ( ~ r1(X1,X2)
                                                                                                                | ~ ! [X1] :
                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                      | ~ p2(X1) ) ) ) ) )
                                                                                          | ( ~ ! [X2] :
                                                                                                  ( ~ r1(X1,X2)
                                                                                                  | ! [X1] :
                                                                                                      ( ~ r1(X2,X1)
                                                                                                      | ~ ! [X2] :
                                                                                                            ( ~ r1(X1,X2)
                                                                                                            | ! [X1] :
                                                                                                                ( ~ r1(X2,X1)
                                                                                                                | p3(X1) )
                                                                                                            | ~ p2(X2) ) ) )
                                                                                            & ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ! [X1] :
                                                                                                      ( ~ r1(X2,X1)
                                                                                                      | ~ p2(X1) ) ) )
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | ~ ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ~ p2(X2) ) )
                                                                                                    & ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | ~ ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ~ ! [X1] :
                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                    | ! [X2] :
                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                        | p3(X2) )
                                                                                                                    | ~ p2(X1) ) ) ) ) )
                                                                                          | ( ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | p3(X1) )
                                                                                                | ~ p2(X2) )
                                                                                            & ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ! [X1] :
                                                                                                      ( ~ r1(X2,X1)
                                                                                                      | ~ p2(X1) ) ) ) ) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | p1(X1) ) )
                                                                                          & ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | p1(X2) ) ) ) ) )
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | p1(X2) ) )
                                                                                & ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | p1(X1) ) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | p1(X1) ) )
                                                                      & ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | p1(X2) ) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | p1(X2) ) )
                                                            & ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | p1(X1) ) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p1(X1) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p1(X2) ) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | p1(X2) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | p1(X1) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) ) ) ) ) ),
    introduced(definition) ).

cnf(c_0_16,plain,
    ( epred4_1(X2)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ epred5_1(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    r1(esk29_0,esk33_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_18,negated_conjecture,
    epred5_1(esk29_0),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

fof(c_0_19,plain,
    ! [X1] :
      ( epred4_1(X1)
     => ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ p1(X1) ) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ p1(X2) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ p1(X2) ) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ p1(X1) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ p1(X1) ) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p1(X2) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ p1(X2) ) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ p1(X1) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | epred3_1(X1) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p1(X1) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p1(X2) ) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | p1(X2) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | p1(X1) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_6]),c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ( epred4_1(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_21,negated_conjecture,
    r1(esk33_0,esk37_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_22,plain,
    ! [X348,X349,X350,X351,X354,X355,X356,X357,X358,X361,X362,X363,X364,X365,X368,X369,X370,X371,X372,X375,X376,X377,X378,X379,X381,X382,X383,X385,X386,X387,X389,X390,X391] :
      ( ( r1(X349,esk154_2(X348,X349))
        | r1(X351,esk153_4(X348,X349,X350,X351))
        | ~ r1(X350,X351)
        | ~ r1(X349,X350)
        | ~ r1(X348,X349)
        | ~ epred4_1(X348) )
      & ( ~ r1(esk154_2(X348,X349),X354)
        | ~ p1(X354)
        | r1(X351,esk153_4(X348,X349,X350,X351))
        | ~ r1(X350,X351)
        | ~ r1(X349,X350)
        | ~ r1(X348,X349)
        | ~ epred4_1(X348) )
      & ( r1(X349,esk154_2(X348,X349))
        | p1(esk153_4(X348,X349,X350,X351))
        | ~ r1(X350,X351)
        | ~ r1(X349,X350)
        | ~ r1(X348,X349)
        | ~ epred4_1(X348) )
      & ( ~ r1(esk154_2(X348,X349),X354)
        | ~ p1(X354)
        | p1(esk153_4(X348,X349,X350,X351))
        | ~ r1(X350,X351)
        | ~ r1(X349,X350)
        | ~ r1(X348,X349)
        | ~ epred4_1(X348) )
      & ( r1(X356,esk156_3(X348,X355,X356))
        | r1(X358,esk155_5(X348,X355,X356,X357,X358))
        | ~ r1(X357,X358)
        | ~ r1(X356,X357)
        | ~ r1(X355,X356)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( ~ r1(esk156_3(X348,X355,X356),X361)
        | ~ p1(X361)
        | r1(X358,esk155_5(X348,X355,X356,X357,X358))
        | ~ r1(X357,X358)
        | ~ r1(X356,X357)
        | ~ r1(X355,X356)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( r1(X356,esk156_3(X348,X355,X356))
        | p1(esk155_5(X348,X355,X356,X357,X358))
        | ~ r1(X357,X358)
        | ~ r1(X356,X357)
        | ~ r1(X355,X356)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( ~ r1(esk156_3(X348,X355,X356),X361)
        | ~ p1(X361)
        | p1(esk155_5(X348,X355,X356,X357,X358))
        | ~ r1(X357,X358)
        | ~ r1(X356,X357)
        | ~ r1(X355,X356)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( r1(X363,esk158_4(X348,X355,X362,X363))
        | r1(X365,esk157_6(X348,X355,X362,X363,X364,X365))
        | ~ r1(X364,X365)
        | ~ r1(X363,X364)
        | ~ r1(X362,X363)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( ~ r1(esk158_4(X348,X355,X362,X363),X368)
        | ~ p1(X368)
        | r1(X365,esk157_6(X348,X355,X362,X363,X364,X365))
        | ~ r1(X364,X365)
        | ~ r1(X363,X364)
        | ~ r1(X362,X363)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( r1(X363,esk158_4(X348,X355,X362,X363))
        | p1(esk157_6(X348,X355,X362,X363,X364,X365))
        | ~ r1(X364,X365)
        | ~ r1(X363,X364)
        | ~ r1(X362,X363)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( ~ r1(esk158_4(X348,X355,X362,X363),X368)
        | ~ p1(X368)
        | p1(esk157_6(X348,X355,X362,X363,X364,X365))
        | ~ r1(X364,X365)
        | ~ r1(X363,X364)
        | ~ r1(X362,X363)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( r1(X370,esk160_5(X348,X355,X362,X369,X370))
        | r1(X372,esk159_7(X348,X355,X362,X369,X370,X371,X372))
        | ~ r1(X371,X372)
        | ~ r1(X370,X371)
        | ~ r1(X369,X370)
        | ~ r1(X362,X369)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( ~ r1(esk160_5(X348,X355,X362,X369,X370),X375)
        | ~ p1(X375)
        | r1(X372,esk159_7(X348,X355,X362,X369,X370,X371,X372))
        | ~ r1(X371,X372)
        | ~ r1(X370,X371)
        | ~ r1(X369,X370)
        | ~ r1(X362,X369)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( r1(X370,esk160_5(X348,X355,X362,X369,X370))
        | p1(esk159_7(X348,X355,X362,X369,X370,X371,X372))
        | ~ r1(X371,X372)
        | ~ r1(X370,X371)
        | ~ r1(X369,X370)
        | ~ r1(X362,X369)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( ~ r1(esk160_5(X348,X355,X362,X369,X370),X375)
        | ~ p1(X375)
        | p1(esk159_7(X348,X355,X362,X369,X370,X371,X372))
        | ~ r1(X371,X372)
        | ~ r1(X370,X371)
        | ~ r1(X369,X370)
        | ~ r1(X362,X369)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( ~ r1(X369,X376)
        | epred3_1(X376)
        | ~ r1(X362,X369)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( r1(X377,esk161_5(X348,X355,X362,X369,X377))
        | ~ r1(X377,X378)
        | ~ r1(X378,X379)
        | p1(X379)
        | ~ r1(X369,X377)
        | ~ r1(X362,X369)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( ~ p1(esk161_5(X348,X355,X362,X369,X377))
        | ~ r1(X377,X378)
        | ~ r1(X378,X379)
        | p1(X379)
        | ~ r1(X369,X377)
        | ~ r1(X362,X369)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( r1(X381,esk162_4(X348,X355,X362,X381))
        | ~ r1(X381,X382)
        | ~ r1(X382,X383)
        | p1(X383)
        | ~ r1(X362,X381)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( ~ p1(esk162_4(X348,X355,X362,X381))
        | ~ r1(X381,X382)
        | ~ r1(X382,X383)
        | p1(X383)
        | ~ r1(X362,X381)
        | ~ r1(X355,X362)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( r1(X385,esk163_3(X348,X355,X385))
        | ~ r1(X385,X386)
        | ~ r1(X386,X387)
        | p1(X387)
        | ~ r1(X355,X385)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( ~ p1(esk163_3(X348,X355,X385))
        | ~ r1(X385,X386)
        | ~ r1(X386,X387)
        | p1(X387)
        | ~ r1(X355,X385)
        | ~ r1(X348,X355)
        | ~ epred4_1(X348) )
      & ( r1(X389,esk164_2(X348,X389))
        | ~ r1(X389,X390)
        | ~ r1(X390,X391)
        | p1(X391)
        | ~ r1(X348,X389)
        | ~ epred4_1(X348) )
      & ( ~ p1(esk164_2(X348,X389))
        | ~ r1(X389,X390)
        | ~ r1(X390,X391)
        | p1(X391)
        | ~ r1(X348,X389)
        | ~ epred4_1(X348) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).

cnf(c_0_23,negated_conjecture,
    ( epred4_1(X1)
    | ~ r1(esk37_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    r1(esk37_0,esk41_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_25,plain,
    ( epred3_1(X2)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ epred4_1(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    r1(esk45_0,esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_27,negated_conjecture,
    ( epred4_1(X1)
    | ~ r1(esk41_0,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    r1(esk41_0,esk45_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_29,plain,
    ! [X1] :
      ( epred2_1(X1)
    <=> ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ p1(X1) ) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ p1(X2) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ p1(X2) ) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ p1(X1) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ p1(X1) ) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p1(X2) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ p1(X2) ) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ p1(X1) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | p3(X2) )
                                                              | ~ p2(X1) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | p3(X2) )
                                                                      | ~ p2(X1) ) )
                                                            & p2(X2)
                                                            & ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ~ ! [X1] :
                                                                              ( ~ r1(X2,X1)
                                                                              | ~ p2(X1) ) ) ) ) )
                                                  | ( ~ ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ~ ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | p3(X1) )
                                                                    | ~ p2(X2) ) ) )
                                                    & ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ~ p2(X1) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ p2(X2) ) )
                                                            & ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | p3(X2) )
                                                                            | ~ p2(X1) ) ) ) ) )
                                                  | ( ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p3(X1) )
                                                        | ~ p2(X2) )
                                                    & ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ~ p2(X1) ) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p1(X1) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p1(X2) ) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | p1(X2) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | p1(X1) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) ) ) ) ) ),
    introduced(definition) ).

cnf(c_0_30,negated_conjecture,
    ( epred3_1(X1)
    | ~ epred4_1(esk45_0)
    | ~ r1(esk49_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    epred4_1(esk45_0),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

fof(c_0_32,plain,
    ! [X1] :
      ( epred3_1(X1)
     => ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ p1(X1) ) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ p1(X2) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ p1(X2) ) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ p1(X1) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ p1(X1) ) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p1(X2) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ p1(X2) ) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ p1(X1) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | epred2_1(X1) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p1(X1) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p1(X2) ) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | p1(X2) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | p1(X1) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_15]),c_0_29]) ).

cnf(c_0_33,negated_conjecture,
    ( epred3_1(X1)
    | ~ r1(esk49_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).

cnf(c_0_34,negated_conjecture,
    r1(esk49_0,esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_35,plain,
    ! [X303,X304,X305,X306,X309,X310,X311,X312,X313,X316,X317,X318,X319,X320,X323,X324,X325,X326,X327,X330,X331,X332,X333,X334,X336,X337,X338,X340,X341,X342,X344,X345,X346] :
      ( ( r1(X304,esk142_2(X303,X304))
        | r1(X306,esk141_4(X303,X304,X305,X306))
        | ~ r1(X305,X306)
        | ~ r1(X304,X305)
        | ~ r1(X303,X304)
        | ~ epred3_1(X303) )
      & ( ~ r1(esk142_2(X303,X304),X309)
        | ~ p1(X309)
        | r1(X306,esk141_4(X303,X304,X305,X306))
        | ~ r1(X305,X306)
        | ~ r1(X304,X305)
        | ~ r1(X303,X304)
        | ~ epred3_1(X303) )
      & ( r1(X304,esk142_2(X303,X304))
        | p1(esk141_4(X303,X304,X305,X306))
        | ~ r1(X305,X306)
        | ~ r1(X304,X305)
        | ~ r1(X303,X304)
        | ~ epred3_1(X303) )
      & ( ~ r1(esk142_2(X303,X304),X309)
        | ~ p1(X309)
        | p1(esk141_4(X303,X304,X305,X306))
        | ~ r1(X305,X306)
        | ~ r1(X304,X305)
        | ~ r1(X303,X304)
        | ~ epred3_1(X303) )
      & ( r1(X311,esk144_3(X303,X310,X311))
        | r1(X313,esk143_5(X303,X310,X311,X312,X313))
        | ~ r1(X312,X313)
        | ~ r1(X311,X312)
        | ~ r1(X310,X311)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( ~ r1(esk144_3(X303,X310,X311),X316)
        | ~ p1(X316)
        | r1(X313,esk143_5(X303,X310,X311,X312,X313))
        | ~ r1(X312,X313)
        | ~ r1(X311,X312)
        | ~ r1(X310,X311)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( r1(X311,esk144_3(X303,X310,X311))
        | p1(esk143_5(X303,X310,X311,X312,X313))
        | ~ r1(X312,X313)
        | ~ r1(X311,X312)
        | ~ r1(X310,X311)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( ~ r1(esk144_3(X303,X310,X311),X316)
        | ~ p1(X316)
        | p1(esk143_5(X303,X310,X311,X312,X313))
        | ~ r1(X312,X313)
        | ~ r1(X311,X312)
        | ~ r1(X310,X311)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( r1(X318,esk146_4(X303,X310,X317,X318))
        | r1(X320,esk145_6(X303,X310,X317,X318,X319,X320))
        | ~ r1(X319,X320)
        | ~ r1(X318,X319)
        | ~ r1(X317,X318)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( ~ r1(esk146_4(X303,X310,X317,X318),X323)
        | ~ p1(X323)
        | r1(X320,esk145_6(X303,X310,X317,X318,X319,X320))
        | ~ r1(X319,X320)
        | ~ r1(X318,X319)
        | ~ r1(X317,X318)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( r1(X318,esk146_4(X303,X310,X317,X318))
        | p1(esk145_6(X303,X310,X317,X318,X319,X320))
        | ~ r1(X319,X320)
        | ~ r1(X318,X319)
        | ~ r1(X317,X318)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( ~ r1(esk146_4(X303,X310,X317,X318),X323)
        | ~ p1(X323)
        | p1(esk145_6(X303,X310,X317,X318,X319,X320))
        | ~ r1(X319,X320)
        | ~ r1(X318,X319)
        | ~ r1(X317,X318)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( r1(X325,esk148_5(X303,X310,X317,X324,X325))
        | r1(X327,esk147_7(X303,X310,X317,X324,X325,X326,X327))
        | ~ r1(X326,X327)
        | ~ r1(X325,X326)
        | ~ r1(X324,X325)
        | ~ r1(X317,X324)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( ~ r1(esk148_5(X303,X310,X317,X324,X325),X330)
        | ~ p1(X330)
        | r1(X327,esk147_7(X303,X310,X317,X324,X325,X326,X327))
        | ~ r1(X326,X327)
        | ~ r1(X325,X326)
        | ~ r1(X324,X325)
        | ~ r1(X317,X324)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( r1(X325,esk148_5(X303,X310,X317,X324,X325))
        | p1(esk147_7(X303,X310,X317,X324,X325,X326,X327))
        | ~ r1(X326,X327)
        | ~ r1(X325,X326)
        | ~ r1(X324,X325)
        | ~ r1(X317,X324)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( ~ r1(esk148_5(X303,X310,X317,X324,X325),X330)
        | ~ p1(X330)
        | p1(esk147_7(X303,X310,X317,X324,X325,X326,X327))
        | ~ r1(X326,X327)
        | ~ r1(X325,X326)
        | ~ r1(X324,X325)
        | ~ r1(X317,X324)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( ~ r1(X324,X331)
        | epred2_1(X331)
        | ~ r1(X317,X324)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( r1(X332,esk149_5(X303,X310,X317,X324,X332))
        | ~ r1(X332,X333)
        | ~ r1(X333,X334)
        | p1(X334)
        | ~ r1(X324,X332)
        | ~ r1(X317,X324)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( ~ p1(esk149_5(X303,X310,X317,X324,X332))
        | ~ r1(X332,X333)
        | ~ r1(X333,X334)
        | p1(X334)
        | ~ r1(X324,X332)
        | ~ r1(X317,X324)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( r1(X336,esk150_4(X303,X310,X317,X336))
        | ~ r1(X336,X337)
        | ~ r1(X337,X338)
        | p1(X338)
        | ~ r1(X317,X336)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( ~ p1(esk150_4(X303,X310,X317,X336))
        | ~ r1(X336,X337)
        | ~ r1(X337,X338)
        | p1(X338)
        | ~ r1(X317,X336)
        | ~ r1(X310,X317)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( r1(X340,esk151_3(X303,X310,X340))
        | ~ r1(X340,X341)
        | ~ r1(X341,X342)
        | p1(X342)
        | ~ r1(X310,X340)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( ~ p1(esk151_3(X303,X310,X340))
        | ~ r1(X340,X341)
        | ~ r1(X341,X342)
        | p1(X342)
        | ~ r1(X310,X340)
        | ~ r1(X303,X310)
        | ~ epred3_1(X303) )
      & ( r1(X344,esk152_2(X303,X344))
        | ~ r1(X344,X345)
        | ~ r1(X345,X346)
        | p1(X346)
        | ~ r1(X303,X344)
        | ~ epred3_1(X303) )
      & ( ~ p1(esk152_2(X303,X344))
        | ~ r1(X344,X345)
        | ~ r1(X345,X346)
        | p1(X346)
        | ~ r1(X303,X344)
        | ~ epred3_1(X303) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])]) ).

cnf(c_0_36,negated_conjecture,
    ( epred3_1(X1)
    | ~ r1(esk53_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    r1(esk53_0,esk57_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_38,plain,
    ( epred2_1(X2)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ epred3_1(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    r1(esk61_0,esk65_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_40,negated_conjecture,
    ( epred3_1(X1)
    | ~ r1(esk57_0,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    r1(esk57_0,esk61_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_42,plain,
    ! [X1] :
      ( epred1_1(X1)
    <=> ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | p3(X2) )
                      | ~ p2(X1) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p3(X2) )
                              | ~ p2(X1) ) )
                    & p2(X2)
                    & ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ p2(X1) ) ) ) ) )
          | ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | p3(X1) )
                            | ~ p2(X2) ) ) )
            & ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ p2(X1) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ p2(X2) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p3(X2) )
                                    | ~ p2(X1) ) ) ) ) )
          | ( ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p3(X1) )
                | ~ p2(X2) )
            & ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ p2(X1) ) ) ) ) ),
    introduced(definition) ).

cnf(c_0_43,negated_conjecture,
    ( epred2_1(X1)
    | ~ epred3_1(esk61_0)
    | ~ r1(esk65_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    epred3_1(esk61_0),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

fof(c_0_45,plain,
    ! [X1] :
      ( epred2_1(X1)
     => ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ p1(X1) ) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ p1(X2) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ p1(X2) ) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ p1(X1) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ p1(X1) ) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p1(X2) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ p1(X2) ) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ p1(X1) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | epred1_1(X1) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | p1(X1) ) )
                                                  & ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p1(X2) ) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | p1(X2) ) )
                                        & ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) ) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | p1(X1) ) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) ) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_29]),c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(esk65_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).

cnf(c_0_47,negated_conjecture,
    r1(esk65_0,esk69_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_48,plain,
    ! [X258,X259,X260,X261,X264,X265,X266,X267,X268,X271,X272,X273,X274,X275,X278,X279,X280,X281,X282,X285,X286,X287,X288,X289,X291,X292,X293,X295,X296,X297,X299,X300,X301] :
      ( ( r1(X259,esk130_2(X258,X259))
        | r1(X261,esk129_4(X258,X259,X260,X261))
        | ~ r1(X260,X261)
        | ~ r1(X259,X260)
        | ~ r1(X258,X259)
        | ~ epred2_1(X258) )
      & ( ~ r1(esk130_2(X258,X259),X264)
        | ~ p1(X264)
        | r1(X261,esk129_4(X258,X259,X260,X261))
        | ~ r1(X260,X261)
        | ~ r1(X259,X260)
        | ~ r1(X258,X259)
        | ~ epred2_1(X258) )
      & ( r1(X259,esk130_2(X258,X259))
        | p1(esk129_4(X258,X259,X260,X261))
        | ~ r1(X260,X261)
        | ~ r1(X259,X260)
        | ~ r1(X258,X259)
        | ~ epred2_1(X258) )
      & ( ~ r1(esk130_2(X258,X259),X264)
        | ~ p1(X264)
        | p1(esk129_4(X258,X259,X260,X261))
        | ~ r1(X260,X261)
        | ~ r1(X259,X260)
        | ~ r1(X258,X259)
        | ~ epred2_1(X258) )
      & ( r1(X266,esk132_3(X258,X265,X266))
        | r1(X268,esk131_5(X258,X265,X266,X267,X268))
        | ~ r1(X267,X268)
        | ~ r1(X266,X267)
        | ~ r1(X265,X266)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( ~ r1(esk132_3(X258,X265,X266),X271)
        | ~ p1(X271)
        | r1(X268,esk131_5(X258,X265,X266,X267,X268))
        | ~ r1(X267,X268)
        | ~ r1(X266,X267)
        | ~ r1(X265,X266)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( r1(X266,esk132_3(X258,X265,X266))
        | p1(esk131_5(X258,X265,X266,X267,X268))
        | ~ r1(X267,X268)
        | ~ r1(X266,X267)
        | ~ r1(X265,X266)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( ~ r1(esk132_3(X258,X265,X266),X271)
        | ~ p1(X271)
        | p1(esk131_5(X258,X265,X266,X267,X268))
        | ~ r1(X267,X268)
        | ~ r1(X266,X267)
        | ~ r1(X265,X266)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( r1(X273,esk134_4(X258,X265,X272,X273))
        | r1(X275,esk133_6(X258,X265,X272,X273,X274,X275))
        | ~ r1(X274,X275)
        | ~ r1(X273,X274)
        | ~ r1(X272,X273)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( ~ r1(esk134_4(X258,X265,X272,X273),X278)
        | ~ p1(X278)
        | r1(X275,esk133_6(X258,X265,X272,X273,X274,X275))
        | ~ r1(X274,X275)
        | ~ r1(X273,X274)
        | ~ r1(X272,X273)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( r1(X273,esk134_4(X258,X265,X272,X273))
        | p1(esk133_6(X258,X265,X272,X273,X274,X275))
        | ~ r1(X274,X275)
        | ~ r1(X273,X274)
        | ~ r1(X272,X273)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( ~ r1(esk134_4(X258,X265,X272,X273),X278)
        | ~ p1(X278)
        | p1(esk133_6(X258,X265,X272,X273,X274,X275))
        | ~ r1(X274,X275)
        | ~ r1(X273,X274)
        | ~ r1(X272,X273)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( r1(X280,esk136_5(X258,X265,X272,X279,X280))
        | r1(X282,esk135_7(X258,X265,X272,X279,X280,X281,X282))
        | ~ r1(X281,X282)
        | ~ r1(X280,X281)
        | ~ r1(X279,X280)
        | ~ r1(X272,X279)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( ~ r1(esk136_5(X258,X265,X272,X279,X280),X285)
        | ~ p1(X285)
        | r1(X282,esk135_7(X258,X265,X272,X279,X280,X281,X282))
        | ~ r1(X281,X282)
        | ~ r1(X280,X281)
        | ~ r1(X279,X280)
        | ~ r1(X272,X279)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( r1(X280,esk136_5(X258,X265,X272,X279,X280))
        | p1(esk135_7(X258,X265,X272,X279,X280,X281,X282))
        | ~ r1(X281,X282)
        | ~ r1(X280,X281)
        | ~ r1(X279,X280)
        | ~ r1(X272,X279)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( ~ r1(esk136_5(X258,X265,X272,X279,X280),X285)
        | ~ p1(X285)
        | p1(esk135_7(X258,X265,X272,X279,X280,X281,X282))
        | ~ r1(X281,X282)
        | ~ r1(X280,X281)
        | ~ r1(X279,X280)
        | ~ r1(X272,X279)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( ~ r1(X279,X286)
        | epred1_1(X286)
        | ~ r1(X272,X279)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( r1(X287,esk137_5(X258,X265,X272,X279,X287))
        | ~ r1(X287,X288)
        | ~ r1(X288,X289)
        | p1(X289)
        | ~ r1(X279,X287)
        | ~ r1(X272,X279)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( ~ p1(esk137_5(X258,X265,X272,X279,X287))
        | ~ r1(X287,X288)
        | ~ r1(X288,X289)
        | p1(X289)
        | ~ r1(X279,X287)
        | ~ r1(X272,X279)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( r1(X291,esk138_4(X258,X265,X272,X291))
        | ~ r1(X291,X292)
        | ~ r1(X292,X293)
        | p1(X293)
        | ~ r1(X272,X291)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( ~ p1(esk138_4(X258,X265,X272,X291))
        | ~ r1(X291,X292)
        | ~ r1(X292,X293)
        | p1(X293)
        | ~ r1(X272,X291)
        | ~ r1(X265,X272)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( r1(X295,esk139_3(X258,X265,X295))
        | ~ r1(X295,X296)
        | ~ r1(X296,X297)
        | p1(X297)
        | ~ r1(X265,X295)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( ~ p1(esk139_3(X258,X265,X295))
        | ~ r1(X295,X296)
        | ~ r1(X296,X297)
        | p1(X297)
        | ~ r1(X265,X295)
        | ~ r1(X258,X265)
        | ~ epred2_1(X258) )
      & ( r1(X299,esk140_2(X258,X299))
        | ~ r1(X299,X300)
        | ~ r1(X300,X301)
        | p1(X301)
        | ~ r1(X258,X299)
        | ~ epred2_1(X258) )
      & ( ~ p1(esk140_2(X258,X299))
        | ~ r1(X299,X300)
        | ~ r1(X300,X301)
        | p1(X301)
        | ~ r1(X258,X299)
        | ~ epred2_1(X258) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])]) ).

cnf(c_0_49,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(esk69_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_50,negated_conjecture,
    r1(esk69_0,esk73_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_51,plain,
    ( epred1_1(X2)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ epred2_1(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_52,negated_conjecture,
    r1(esk77_0,esk81_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_53,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(esk73_0,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    r1(esk73_0,esk77_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_55,negated_conjecture,
    ( epred1_1(X1)
    | ~ epred2_1(esk77_0)
    | ~ r1(esk81_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_56,negated_conjecture,
    epred2_1(esk77_0),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk81_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).

cnf(c_0_58,negated_conjecture,
    r1(esk81_0,esk85_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_59,plain,
    ! [X1] :
      ( epred1_1(X1)
     => ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | p3(X2) )
                      | ~ p2(X1) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p3(X2) )
                              | ~ p2(X1) ) )
                    & p2(X2)
                    & ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ p2(X1) ) ) ) ) )
          | ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | p3(X1) )
                            | ~ p2(X2) ) ) )
            & ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ p2(X1) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ p2(X2) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p3(X2) )
                                    | ~ p2(X1) ) ) ) ) )
          | ( ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p3(X1) )
                | ~ p2(X2) )
            & ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ p2(X1) ) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_42]) ).

cnf(c_0_60,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk85_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_61,negated_conjecture,
    r1(esk85_0,esk89_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_62,plain,
    ! [X231,X232,X235,X236,X238,X240,X241,X242,X246,X247,X249,X251,X257] :
      ( ( r1(X232,esk115_2(X231,X232))
        | ~ r1(X231,X232)
        | ~ epred1_1(X231) )
      & ( r1(esk115_2(X231,X232),esk116_2(X231,X232))
        | ~ r1(X231,X232)
        | ~ epred1_1(X231) )
      & ( ~ p3(esk116_2(X231,X232))
        | ~ r1(X231,X232)
        | ~ epred1_1(X231) )
      & ( p2(esk115_2(X231,X232))
        | ~ r1(X231,X232)
        | ~ epred1_1(X231) )
      & ( r1(X238,esk118_3(X231,X235,X238))
        | ~ r1(X235,X238)
        | r1(X236,esk117_3(X231,X235,X236))
        | ~ r1(X235,X236)
        | ~ p2(X235)
        | ~ r1(X231,X235)
        | ~ epred1_1(X231) )
      & ( ~ r1(esk118_3(X231,X235,X238),X240)
        | ~ p2(X240)
        | ~ r1(X235,X238)
        | r1(X236,esk117_3(X231,X235,X236))
        | ~ r1(X235,X236)
        | ~ p2(X235)
        | ~ r1(X231,X235)
        | ~ epred1_1(X231) )
      & ( r1(X238,esk118_3(X231,X235,X238))
        | ~ r1(X235,X238)
        | ~ p3(esk117_3(X231,X235,X236))
        | ~ r1(X235,X236)
        | ~ p2(X235)
        | ~ r1(X231,X235)
        | ~ epred1_1(X231) )
      & ( ~ r1(esk118_3(X231,X235,X238),X240)
        | ~ p2(X240)
        | ~ r1(X235,X238)
        | ~ p3(esk117_3(X231,X235,X236))
        | ~ r1(X235,X236)
        | ~ p2(X235)
        | ~ r1(X231,X235)
        | ~ epred1_1(X231) )
      & ( r1(X238,esk118_3(X231,X235,X238))
        | ~ r1(X235,X238)
        | p2(X236)
        | ~ r1(X235,X236)
        | ~ p2(X235)
        | ~ r1(X231,X235)
        | ~ epred1_1(X231) )
      & ( ~ r1(esk118_3(X231,X235,X238),X240)
        | ~ p2(X240)
        | ~ r1(X235,X238)
        | p2(X236)
        | ~ r1(X235,X236)
        | ~ p2(X235)
        | ~ r1(X231,X235)
        | ~ epred1_1(X231) )
      & ( r1(X231,esk121_1(X231))
        | r1(X242,esk119_3(X231,X241,X242))
        | ~ r1(X241,X242)
        | ~ r1(X231,X241)
        | ~ epred1_1(X231) )
      & ( ~ r1(esk121_1(X231),X246)
        | ~ p2(X246)
        | r1(X242,esk119_3(X231,X241,X242))
        | ~ r1(X241,X242)
        | ~ r1(X231,X241)
        | ~ epred1_1(X231) )
      & ( r1(X231,esk121_1(X231))
        | r1(esk119_3(X231,X241,X242),esk120_3(X231,X241,X242))
        | ~ r1(X241,X242)
        | ~ r1(X231,X241)
        | ~ epred1_1(X231) )
      & ( ~ r1(esk121_1(X231),X246)
        | ~ p2(X246)
        | r1(esk119_3(X231,X241,X242),esk120_3(X231,X241,X242))
        | ~ r1(X241,X242)
        | ~ r1(X231,X241)
        | ~ epred1_1(X231) )
      & ( r1(X231,esk121_1(X231))
        | ~ p3(esk120_3(X231,X241,X242))
        | ~ r1(X241,X242)
        | ~ r1(X231,X241)
        | ~ epred1_1(X231) )
      & ( ~ r1(esk121_1(X231),X246)
        | ~ p2(X246)
        | ~ p3(esk120_3(X231,X241,X242))
        | ~ r1(X241,X242)
        | ~ r1(X231,X241)
        | ~ epred1_1(X231) )
      & ( r1(X231,esk121_1(X231))
        | p2(esk119_3(X231,X241,X242))
        | ~ r1(X241,X242)
        | ~ r1(X231,X241)
        | ~ epred1_1(X231) )
      & ( ~ r1(esk121_1(X231),X246)
        | ~ p2(X246)
        | p2(esk119_3(X231,X241,X242))
        | ~ r1(X241,X242)
        | ~ r1(X231,X241)
        | ~ epred1_1(X231) )
      & ( r1(X247,esk123_2(X231,X247))
        | r1(X247,esk122_2(X231,X247))
        | ~ r1(X231,X247)
        | ~ epred1_1(X231) )
      & ( r1(X251,esk124_3(X231,X247,X251))
        | ~ r1(esk123_2(X231,X247),X251)
        | r1(X247,esk122_2(X231,X247))
        | ~ r1(X231,X247)
        | ~ epred1_1(X231) )
      & ( r1(esk124_3(X231,X247,X251),esk125_3(X231,X247,X251))
        | ~ r1(esk123_2(X231,X247),X251)
        | r1(X247,esk122_2(X231,X247))
        | ~ r1(X231,X247)
        | ~ epred1_1(X231) )
      & ( ~ p3(esk125_3(X231,X247,X251))
        | ~ r1(esk123_2(X231,X247),X251)
        | r1(X247,esk122_2(X231,X247))
        | ~ r1(X231,X247)
        | ~ epred1_1(X231) )
      & ( p2(esk124_3(X231,X247,X251))
        | ~ r1(esk123_2(X231,X247),X251)
        | r1(X247,esk122_2(X231,X247))
        | ~ r1(X231,X247)
        | ~ epred1_1(X231) )
      & ( r1(X247,esk123_2(X231,X247))
        | ~ r1(esk122_2(X231,X247),X249)
        | ~ p2(X249)
        | ~ r1(X231,X247)
        | ~ epred1_1(X231) )
      & ( r1(X251,esk124_3(X231,X247,X251))
        | ~ r1(esk123_2(X231,X247),X251)
        | ~ r1(esk122_2(X231,X247),X249)
        | ~ p2(X249)
        | ~ r1(X231,X247)
        | ~ epred1_1(X231) )
      & ( r1(esk124_3(X231,X247,X251),esk125_3(X231,X247,X251))
        | ~ r1(esk123_2(X231,X247),X251)
        | ~ r1(esk122_2(X231,X247),X249)
        | ~ p2(X249)
        | ~ r1(X231,X247)
        | ~ epred1_1(X231) )
      & ( ~ p3(esk125_3(X231,X247,X251))
        | ~ r1(esk123_2(X231,X247),X251)
        | ~ r1(esk122_2(X231,X247),X249)
        | ~ p2(X249)
        | ~ r1(X231,X247)
        | ~ epred1_1(X231) )
      & ( p2(esk124_3(X231,X247,X251))
        | ~ r1(esk123_2(X231,X247),X251)
        | ~ r1(esk122_2(X231,X247),X249)
        | ~ p2(X249)
        | ~ r1(X231,X247)
        | ~ epred1_1(X231) )
      & ( r1(X231,esk128_1(X231))
        | r1(X231,esk126_1(X231))
        | ~ epred1_1(X231) )
      & ( ~ r1(esk128_1(X231),X257)
        | ~ p2(X257)
        | r1(X231,esk126_1(X231))
        | ~ epred1_1(X231) )
      & ( r1(X231,esk128_1(X231))
        | r1(esk126_1(X231),esk127_1(X231))
        | ~ epred1_1(X231) )
      & ( ~ r1(esk128_1(X231),X257)
        | ~ p2(X257)
        | r1(esk126_1(X231),esk127_1(X231))
        | ~ epred1_1(X231) )
      & ( r1(X231,esk128_1(X231))
        | ~ p3(esk127_1(X231))
        | ~ epred1_1(X231) )
      & ( ~ r1(esk128_1(X231),X257)
        | ~ p2(X257)
        | ~ p3(esk127_1(X231))
        | ~ epred1_1(X231) )
      & ( r1(X231,esk128_1(X231))
        | p2(esk126_1(X231))
        | ~ epred1_1(X231) )
      & ( ~ r1(esk128_1(X231),X257)
        | ~ p2(X257)
        | p2(esk126_1(X231))
        | ~ epred1_1(X231) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])])]) ).

cnf(c_0_63,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk89_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    r1(esk89_0,esk93_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_65,plain,
    ( r1(X1,esk128_1(X1))
    | r1(X1,esk126_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    epred1_1(esk93_0),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,plain,
    ( r1(X1,esk115_2(X2,X1))
    | ~ r1(X2,X1)
    | ~ epred1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_68,plain,
    ( r1(esk93_0,esk126_1(esk93_0))
    | r1(esk93_0,esk128_1(esk93_0)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_69,plain,
    ( r1(X1,esk128_1(X1))
    | p2(esk126_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_70,plain,
    ( r1(X1,esk126_1(X1))
    | ~ r1(esk128_1(X1),X2)
    | ~ p2(X2)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_71,plain,
    ( r1(esk128_1(esk93_0),esk115_2(esk93_0,esk128_1(esk93_0)))
    | r1(esk93_0,esk126_1(esk93_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_66])]) ).

cnf(c_0_72,plain,
    ( p2(esk115_2(X1,X2))
    | ~ r1(X1,X2)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_73,plain,
    ( p2(esk126_1(esk93_0))
    | r1(esk93_0,esk128_1(esk93_0)) ),
    inference(spm,[status(thm)],[c_0_69,c_0_66]) ).

cnf(c_0_74,plain,
    ( r1(esk93_0,esk126_1(esk93_0))
    | ~ p2(esk115_2(esk93_0,esk128_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_66])]) ).

cnf(c_0_75,plain,
    ( p2(esk115_2(esk93_0,esk128_1(esk93_0)))
    | r1(esk93_0,esk126_1(esk93_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_68]),c_0_66])]) ).

cnf(c_0_76,plain,
    ( p2(esk126_1(X1))
    | ~ r1(esk128_1(X1),X2)
    | ~ p2(X2)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_77,plain,
    ( p2(esk126_1(esk93_0))
    | r1(esk128_1(esk93_0),esk115_2(esk93_0,esk128_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_73]),c_0_66])]) ).

cnf(c_0_78,negated_conjecture,
    ( r1(X1,esk94_1(X1))
    | ~ r1(esk93_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_79,plain,
    r1(esk93_0,esk126_1(esk93_0)),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_80,plain,
    ( p2(esk126_1(esk93_0))
    | ~ p2(esk115_2(esk93_0,esk128_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_66])]) ).

cnf(c_0_81,plain,
    ( p2(esk115_2(esk93_0,esk128_1(esk93_0)))
    | p2(esk126_1(esk93_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_66])]) ).

cnf(c_0_82,plain,
    ( r1(X1,esk118_3(X2,X3,X1))
    | p2(X4)
    | ~ r1(X3,X1)
    | ~ r1(X3,X4)
    | ~ p2(X3)
    | ~ r1(X2,X3)
    | ~ epred1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_83,negated_conjecture,
    r1(esk126_1(esk93_0),esk94_1(esk126_1(esk93_0))),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_84,plain,
    p2(esk126_1(esk93_0)),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,plain,
    ( r1(X1,esk123_2(X2,X1))
    | r1(X1,esk122_2(X2,X1))
    | ~ r1(X2,X1)
    | ~ epred1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_86,negated_conjecture,
    ( p2(esk94_1(esk126_1(esk93_0)))
    | r1(X1,esk118_3(X2,esk126_1(esk93_0),X1))
    | ~ epred1_1(X2)
    | ~ r1(esk126_1(esk93_0),X1)
    | ~ r1(X2,esk126_1(esk93_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).

cnf(c_0_87,plain,
    ( r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))
    | r1(esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_79]),c_0_66])]) ).

cnf(c_0_88,plain,
    ( p2(esk94_1(esk126_1(esk93_0)))
    | r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(X1,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))
    | ~ epred1_1(X1)
    | ~ r1(X1,esk126_1(esk93_0)) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ p2(esk94_1(X1))
    | ~ r1(esk93_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_90,plain,
    ( p2(esk94_1(esk126_1(esk93_0)))
    | r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_79]),c_0_66])]) ).

cnf(c_0_91,plain,
    ( r1(X1,esk124_3(X2,X3,X1))
    | r1(X3,esk122_2(X2,X3))
    | ~ r1(esk123_2(X2,X3),X1)
    | ~ r1(X2,X3)
    | ~ epred1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_92,negated_conjecture,
    ( r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_79])]) ).

cnf(c_0_93,plain,
    ( p2(X5)
    | ~ r1(esk118_3(X1,X2,X3),X4)
    | ~ p2(X4)
    | ~ r1(X2,X3)
    | ~ r1(X2,X5)
    | ~ p2(X2)
    | ~ r1(X1,X2)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_94,plain,
    ( r1(esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))),esk124_3(esk93_0,esk126_1(esk93_0),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0)))))
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_66]),c_0_79])]) ).

cnf(c_0_95,plain,
    ( p2(X1)
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))
    | ~ p2(esk124_3(esk93_0,esk126_1(esk93_0),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0)))))
    | ~ r1(esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0)))
    | ~ r1(esk126_1(esk93_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_66]),c_0_84]),c_0_79])]) ).

cnf(c_0_96,plain,
    ( p2(esk124_3(X1,X2,X3))
    | r1(X2,esk122_2(X1,X2))
    | ~ r1(esk123_2(X1,X2),X3)
    | ~ r1(X1,X2)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_97,plain,
    ( p2(X1)
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))
    | ~ p2(esk124_3(esk93_0,esk126_1(esk93_0),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0)))))
    | ~ r1(esk126_1(esk93_0),X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_87]) ).

cnf(c_0_98,plain,
    ( p2(esk124_3(esk93_0,esk126_1(esk93_0),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0)))))
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_92]),c_0_66]),c_0_79])]) ).

cnf(c_0_99,plain,
    ( p2(X1)
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))
    | ~ r1(esk126_1(esk93_0),X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_100,negated_conjecture,
    ( p2(esk94_1(esk126_1(esk93_0)))
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))) ),
    inference(spm,[status(thm)],[c_0_99,c_0_83]) ).

cnf(c_0_101,plain,
    ( r1(X1,esk121_1(X1))
    | r1(X2,esk119_3(X1,X3,X2))
    | ~ r1(X3,X2)
    | ~ r1(X1,X3)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_102,negated_conjecture,
    r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_100]),c_0_79])]) ).

cnf(c_0_103,plain,
    ( r1(X1,esk121_1(X1))
    | p2(esk119_3(X1,X2,X3))
    | ~ r1(X2,X3)
    | ~ r1(X1,X2)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_104,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(X1,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(X1,esk121_1(X1))
    | ~ epred1_1(X1)
    | ~ r1(X1,esk126_1(esk93_0)) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_105,plain,
    ( p2(esk119_3(X1,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(X1,esk121_1(X1))
    | ~ epred1_1(X1)
    | ~ r1(X1,esk126_1(esk93_0)) ),
    inference(spm,[status(thm)],[c_0_103,c_0_102]) ).

cnf(c_0_106,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk93_0,esk121_1(esk93_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_79]),c_0_66])]) ).

cnf(c_0_107,plain,
    ( p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk93_0,esk121_1(esk93_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_79]),c_0_66])]) ).

cnf(c_0_108,plain,
    ( r1(X3,esk119_3(X1,X4,X3))
    | ~ r1(esk121_1(X1),X2)
    | ~ p2(X2)
    | ~ r1(X4,X3)
    | ~ r1(X1,X4)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_109,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk121_1(esk93_0),esk115_2(esk93_0,esk121_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_106]),c_0_66])]) ).

cnf(c_0_110,plain,
    ( p2(esk119_3(X1,X3,X4))
    | ~ r1(esk121_1(X1),X2)
    | ~ p2(X2)
    | ~ r1(X3,X4)
    | ~ r1(X1,X3)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_111,plain,
    ( p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk121_1(esk93_0),esk115_2(esk93_0,esk121_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_107]),c_0_66])]) ).

cnf(c_0_112,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(X1,esk119_3(esk93_0,X2,X1))
    | ~ p2(esk115_2(esk93_0,esk121_1(esk93_0)))
    | ~ r1(esk93_0,X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_66])]) ).

cnf(c_0_113,plain,
    ( p2(esk115_2(esk93_0,esk121_1(esk93_0)))
    | r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_106]),c_0_66])]) ).

cnf(c_0_114,plain,
    ( p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | p2(esk119_3(esk93_0,X1,X2))
    | ~ p2(esk115_2(esk93_0,esk121_1(esk93_0)))
    | ~ r1(esk93_0,X1)
    | ~ r1(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_66])]) ).

cnf(c_0_115,plain,
    ( p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | p2(esk115_2(esk93_0,esk121_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_107]),c_0_66])]) ).

cnf(c_0_116,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(X1,esk119_3(esk93_0,X2,X1))
    | ~ r1(esk93_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_117,plain,
    ( p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | p2(esk119_3(esk93_0,X1,X2))
    | ~ r1(esk93_0,X1)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_118,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(X1,esk119_3(esk93_0,esk126_1(esk93_0),X1))
    | ~ r1(esk126_1(esk93_0),X1) ),
    inference(spm,[status(thm)],[c_0_116,c_0_79]) ).

cnf(c_0_119,plain,
    ( p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | p2(esk119_3(esk93_0,esk126_1(esk93_0),X1))
    | ~ r1(esk126_1(esk93_0),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_79]) ).

cnf(c_0_120,plain,
    ( r1(X1,esk123_2(X2,X1))
    | ~ r1(esk122_2(X2,X1),X3)
    | ~ p2(X3)
    | ~ r1(X2,X1)
    | ~ epred1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_121,negated_conjecture,
    r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))),
    inference(spm,[status(thm)],[c_0_118,c_0_102]) ).

cnf(c_0_122,negated_conjecture,
    p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))),
    inference(spm,[status(thm)],[c_0_119,c_0_102]) ).

cnf(c_0_123,plain,
    r1(esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_66]),c_0_122]),c_0_79])]) ).

cnf(c_0_124,negated_conjecture,
    ( p2(esk94_1(esk126_1(esk93_0)))
    | r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(X1,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))
    | ~ epred1_1(X1)
    | ~ r1(X1,esk126_1(esk93_0)) ),
    inference(spm,[status(thm)],[c_0_86,c_0_123]) ).

cnf(c_0_125,plain,
    ( r1(X1,esk124_3(X2,X3,X1))
    | ~ r1(esk123_2(X2,X3),X1)
    | ~ r1(esk122_2(X2,X3),X4)
    | ~ p2(X4)
    | ~ r1(X2,X3)
    | ~ epred1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_126,plain,
    ( p2(esk94_1(esk126_1(esk93_0)))
    | r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_79]),c_0_66])]) ).

cnf(c_0_127,plain,
    ( p2(esk124_3(X1,X2,X3))
    | ~ r1(esk123_2(X1,X2),X3)
    | ~ r1(esk122_2(X1,X2),X4)
    | ~ p2(X4)
    | ~ r1(X1,X2)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_128,plain,
    ( r1(X1,esk124_3(esk93_0,esk126_1(esk93_0),X1))
    | ~ r1(esk123_2(esk93_0,esk126_1(esk93_0)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_121]),c_0_66]),c_0_122]),c_0_79])]) ).

cnf(c_0_129,negated_conjecture,
    r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_126]),c_0_79])]) ).

cnf(c_0_130,plain,
    ( p2(esk124_3(esk93_0,esk126_1(esk93_0),X1))
    | ~ r1(esk123_2(esk93_0,esk126_1(esk93_0)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_121]),c_0_66]),c_0_122]),c_0_79])]) ).

cnf(c_0_131,plain,
    r1(esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))),esk124_3(esk93_0,esk126_1(esk93_0),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_132,plain,
    p2(esk124_3(esk93_0,esk126_1(esk93_0),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))),
    inference(spm,[status(thm)],[c_0_130,c_0_129]) ).

cnf(c_0_133,plain,
    ( p2(X1)
    | ~ r1(esk126_1(esk93_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_131]),c_0_66]),c_0_132]),c_0_84]),c_0_123]),c_0_79])]) ).

cnf(c_0_134,negated_conjecture,
    p2(esk94_1(esk126_1(esk93_0))),
    inference(spm,[status(thm)],[c_0_133,c_0_83]) ).

cnf(c_0_135,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_134]),c_0_79])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL652+1.020 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 22:50:33 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.61  start to proof: theBenchmark
% 228.29/228.25  % Version  : CSE_E---1.5
% 228.29/228.25  % Problem  : theBenchmark.p
% 228.29/228.25  % Proof found
% 228.29/228.25  % SZS status Theorem for theBenchmark.p
% 228.29/228.25  % SZS output start Proof
% See solution above
% 228.29/228.27  % Total time : 227.640000 s
% 228.29/228.27  % SZS output end Proof
% 228.29/228.27  % Total time : 227.660000 s
%------------------------------------------------------------------------------