TSTP Solution File: LCL638+1.010 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LCL638+1.010 : 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 : n009.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 06:54:52 EDT 2023

% Result   : Theorem 16.38s 16.46s
% Output   : CNFRefutation 16.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :  164
% Syntax   : Number of formulae    :  237 (  18 unt; 163 typ;   0 def)
%            Number of atoms       : 2776 (   0 equ)
%            Maximal formula atoms : 1125 (  37 avg)
%            Number of connectives : 5378 (2676   ~;2393   |; 309   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  587 (  17 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  373 (  62   >; 311   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :  161 ( 161 usr; 101 con; 0-12 aty)
%            Number of variables   : 1679 (   0 sgn;1385   !;   2   ?;   0   :)

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

tff(decl_23,type,
    p1: $i > $o ).

tff(decl_24,type,
    esk1_0: $i ).

tff(decl_25,type,
    esk2_11: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_26,type,
    esk3_11: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_27,type,
    esk4_12: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_28,type,
    esk5_10: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_29,type,
    esk6_10: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_30,type,
    esk7_10: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_31,type,
    esk8_0: $i ).

tff(decl_32,type,
    esk9_0: $i ).

tff(decl_33,type,
    esk10_0: $i ).

tff(decl_34,type,
    esk11_0: $i ).

tff(decl_35,type,
    esk12_0: $i ).

tff(decl_36,type,
    esk13_0: $i ).

tff(decl_37,type,
    esk14_0: $i ).

tff(decl_38,type,
    esk15_0: $i ).

tff(decl_39,type,
    esk16_0: $i ).

tff(decl_40,type,
    esk17_0: $i ).

tff(decl_41,type,
    esk18_10: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_42,type,
    esk19_10: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_43,type,
    esk20_11: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_44,type,
    esk21_9: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_45,type,
    esk22_9: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_46,type,
    esk23_9: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_47,type,
    esk24_0: $i ).

tff(decl_48,type,
    esk25_0: $i ).

tff(decl_49,type,
    esk26_0: $i ).

tff(decl_50,type,
    esk27_0: $i ).

tff(decl_51,type,
    esk28_0: $i ).

tff(decl_52,type,
    esk29_0: $i ).

tff(decl_53,type,
    esk30_0: $i ).

tff(decl_54,type,
    esk31_0: $i ).

tff(decl_55,type,
    esk32_0: $i ).

tff(decl_56,type,
    esk33_0: $i ).

tff(decl_57,type,
    esk34_9: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_58,type,
    esk35_9: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_59,type,
    esk36_10: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_60,type,
    esk37_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_61,type,
    esk38_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_62,type,
    esk39_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_63,type,
    esk40_0: $i ).

tff(decl_64,type,
    esk41_0: $i ).

tff(decl_65,type,
    esk42_0: $i ).

tff(decl_66,type,
    esk43_0: $i ).

tff(decl_67,type,
    esk44_0: $i ).

tff(decl_68,type,
    esk45_0: $i ).

tff(decl_69,type,
    esk46_0: $i ).

tff(decl_70,type,
    esk47_0: $i ).

tff(decl_71,type,
    esk48_0: $i ).

tff(decl_72,type,
    esk49_0: $i ).

tff(decl_73,type,
    esk50_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_74,type,
    esk51_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_75,type,
    esk52_9: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_76,type,
    esk53_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_77,type,
    esk54_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_78,type,
    esk55_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_79,type,
    esk56_0: $i ).

tff(decl_80,type,
    esk57_0: $i ).

tff(decl_81,type,
    esk58_0: $i ).

tff(decl_82,type,
    esk59_0: $i ).

tff(decl_83,type,
    esk60_0: $i ).

tff(decl_84,type,
    esk61_0: $i ).

tff(decl_85,type,
    esk62_0: $i ).

tff(decl_86,type,
    esk63_0: $i ).

tff(decl_87,type,
    esk64_0: $i ).

tff(decl_88,type,
    esk65_0: $i ).

tff(decl_89,type,
    esk66_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_90,type,
    esk67_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_91,type,
    esk68_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_92,type,
    esk69_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_93,type,
    esk70_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_94,type,
    esk71_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_95,type,
    esk72_0: $i ).

tff(decl_96,type,
    esk73_0: $i ).

tff(decl_97,type,
    esk74_0: $i ).

tff(decl_98,type,
    esk75_0: $i ).

tff(decl_99,type,
    esk76_0: $i ).

tff(decl_100,type,
    esk77_0: $i ).

tff(decl_101,type,
    esk78_0: $i ).

tff(decl_102,type,
    esk79_0: $i ).

tff(decl_103,type,
    esk80_0: $i ).

tff(decl_104,type,
    esk81_0: $i ).

tff(decl_105,type,
    esk82_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_106,type,
    esk83_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_107,type,
    esk84_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_108,type,
    esk85_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_109,type,
    esk86_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_110,type,
    esk87_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_111,type,
    esk88_0: $i ).

tff(decl_112,type,
    esk89_0: $i ).

tff(decl_113,type,
    esk90_0: $i ).

tff(decl_114,type,
    esk91_0: $i ).

tff(decl_115,type,
    esk92_0: $i ).

tff(decl_116,type,
    esk93_0: $i ).

tff(decl_117,type,
    esk94_0: $i ).

tff(decl_118,type,
    esk95_0: $i ).

tff(decl_119,type,
    esk96_0: $i ).

tff(decl_120,type,
    esk97_0: $i ).

tff(decl_121,type,
    esk98_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_122,type,
    esk99_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_123,type,
    esk100_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_124,type,
    esk101_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_125,type,
    esk102_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_126,type,
    esk103_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_127,type,
    esk104_0: $i ).

tff(decl_128,type,
    esk105_0: $i ).

tff(decl_129,type,
    esk106_0: $i ).

tff(decl_130,type,
    esk107_0: $i ).

tff(decl_131,type,
    esk108_0: $i ).

tff(decl_132,type,
    esk109_0: $i ).

tff(decl_133,type,
    esk110_0: $i ).

tff(decl_134,type,
    esk111_0: $i ).

tff(decl_135,type,
    esk112_0: $i ).

tff(decl_136,type,
    esk113_0: $i ).

tff(decl_137,type,
    esk114_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_138,type,
    esk115_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_139,type,
    esk116_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_140,type,
    esk117_3: ( $i * $i * $i ) > $i ).

tff(decl_141,type,
    esk118_3: ( $i * $i * $i ) > $i ).

tff(decl_142,type,
    esk119_3: ( $i * $i * $i ) > $i ).

tff(decl_143,type,
    esk120_0: $i ).

tff(decl_144,type,
    esk121_0: $i ).

tff(decl_145,type,
    esk122_0: $i ).

tff(decl_146,type,
    esk123_0: $i ).

tff(decl_147,type,
    esk124_0: $i ).

tff(decl_148,type,
    esk125_0: $i ).

tff(decl_149,type,
    esk126_0: $i ).

tff(decl_150,type,
    esk127_0: $i ).

tff(decl_151,type,
    esk128_0: $i ).

tff(decl_152,type,
    esk129_0: $i ).

tff(decl_153,type,
    esk130_3: ( $i * $i * $i ) > $i ).

tff(decl_154,type,
    esk131_3: ( $i * $i * $i ) > $i ).

tff(decl_155,type,
    esk132_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_156,type,
    esk133_2: ( $i * $i ) > $i ).

tff(decl_157,type,
    esk134_2: ( $i * $i ) > $i ).

tff(decl_158,type,
    esk135_2: ( $i * $i ) > $i ).

tff(decl_159,type,
    esk136_0: $i ).

tff(decl_160,type,
    esk137_0: $i ).

tff(decl_161,type,
    esk138_0: $i ).

tff(decl_162,type,
    esk139_0: $i ).

tff(decl_163,type,
    esk140_0: $i ).

tff(decl_164,type,
    esk141_0: $i ).

tff(decl_165,type,
    esk142_0: $i ).

tff(decl_166,type,
    esk143_0: $i ).

tff(decl_167,type,
    esk144_0: $i ).

tff(decl_168,type,
    esk145_0: $i ).

tff(decl_169,type,
    esk146_2: ( $i * $i ) > $i ).

tff(decl_170,type,
    esk147_2: ( $i * $i ) > $i ).

tff(decl_171,type,
    esk148_3: ( $i * $i * $i ) > $i ).

tff(decl_172,type,
    esk149_1: $i > $i ).

tff(decl_173,type,
    esk150_1: $i > $i ).

tff(decl_174,type,
    esk151_1: $i > $i ).

tff(decl_175,type,
    esk152_0: $i ).

tff(decl_176,type,
    esk153_0: $i ).

tff(decl_177,type,
    esk154_0: $i ).

tff(decl_178,type,
    esk155_0: $i ).

tff(decl_179,type,
    esk156_0: $i ).

tff(decl_180,type,
    esk157_0: $i ).

tff(decl_181,type,
    esk158_0: $i ).

tff(decl_182,type,
    esk159_0: $i ).

tff(decl_183,type,
    esk160_0: $i ).

tff(decl_184,type,
    esk161_0: $i ).

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

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

fof(c_0_2,negated_conjecture,
    ! [X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X126,X127,X128,X129,X130,X131,X132,X133,X134,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X157,X158,X159,X160,X161,X162,X163,X164,X165,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X191,X192,X193,X194,X195,X196,X197,X198,X210,X211,X212,X213,X214,X215,X216,X217,X218,X220,X221,X222,X223,X224,X225,X226,X227,X229,X230,X231,X232,X233,X234,X235,X236,X237,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X251,X252,X253,X254,X255,X256,X257,X269,X270,X271,X272,X273,X274,X275,X276,X278,X279,X280,X281,X282,X283,X284,X286,X287,X288,X289,X290,X291,X292,X293,X296,X297,X298,X299,X300,X301,X302,X303,X304,X306,X307,X308,X309,X310,X311,X323,X324,X325,X326,X327,X328,X329,X331,X332,X333,X334,X335,X336,X338,X339,X340,X341,X342,X343,X344,X347,X348,X349,X350,X351,X352,X353,X354,X356,X357,X358,X359,X360,X372,X373,X374,X375,X376,X377,X379,X380,X381,X382,X383,X385,X386,X387,X388,X389,X390,X393,X394,X395,X396,X397,X398,X399,X401,X402,X403,X404,X416,X417,X418,X419,X420,X422,X423,X424,X425,X427,X428,X429,X430,X431,X434,X435,X436,X437,X438,X439,X441,X442,X443,X455,X456,X457,X458,X460,X461,X462,X464,X465,X466,X467,X470,X471,X472,X473,X474,X476,X477,X489,X490,X491,X493,X494,X496,X497,X498,X501,X502,X503,X504,X506,X518] :
      ( ( r1(X14,esk2_11(X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14))
        | ~ r1(X13,X14)
        | p1(X13)
        | ~ r1(X12,X13)
        | ~ r1(X11,X12)
        | ~ r1(X10,X11)
        | ~ r1(X9,X10)
        | ~ r1(X8,X9)
        | ~ r1(X7,X8)
        | ~ r1(X6,X7)
        | ~ r1(X5,X6)
        | ~ r1(X4,X5)
        | ~ r1(esk1_0,X4) )
      & ( ~ p1(esk2_11(X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14))
        | ~ r1(X13,X14)
        | p1(X13)
        | ~ r1(X12,X13)
        | ~ r1(X11,X12)
        | ~ r1(X10,X11)
        | ~ r1(X9,X10)
        | ~ r1(X8,X9)
        | ~ r1(X7,X8)
        | ~ r1(X6,X7)
        | ~ r1(X5,X6)
        | ~ r1(X4,X5)
        | ~ r1(esk1_0,X4) )
      & ( r1(X26,esk3_11(X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26))
        | ~ r1(X25,X26)
        | ~ p1(X25)
        | ~ r1(X24,X25)
        | ~ r1(X23,X24)
        | ~ r1(X22,X23)
        | ~ r1(X21,X22)
        | ~ r1(X20,X21)
        | ~ r1(X19,X20)
        | ~ r1(X18,X19)
        | ~ r1(X17,X18)
        | ~ r1(X16,X17)
        | ~ r1(esk1_0,X16) )
      & ( p1(esk3_11(X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26))
        | ~ r1(X25,X26)
        | ~ p1(X25)
        | ~ r1(X24,X25)
        | ~ r1(X23,X24)
        | ~ r1(X22,X23)
        | ~ r1(X21,X22)
        | ~ r1(X20,X21)
        | ~ r1(X19,X20)
        | ~ r1(X18,X19)
        | ~ r1(X17,X18)
        | ~ r1(X16,X17)
        | ~ r1(esk1_0,X16) )
      & ( r1(X37,esk5_10(X28,X29,X30,X31,X32,X33,X34,X35,X36,X37))
        | r1(X39,esk4_12(X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39))
        | ~ r1(X38,X39)
        | ~ r1(X37,X38)
        | ~ r1(X36,X37)
        | ~ r1(X35,X36)
        | ~ r1(X34,X35)
        | ~ r1(X33,X34)
        | ~ r1(X32,X33)
        | ~ r1(X31,X32)
        | ~ r1(X30,X31)
        | ~ r1(X29,X30)
        | ~ r1(X28,X29)
        | ~ r1(esk1_0,X28) )
      & ( ~ r1(esk5_10(X28,X29,X30,X31,X32,X33,X34,X35,X36,X37),X42)
        | ~ p1(X42)
        | r1(X39,esk4_12(X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39))
        | ~ r1(X38,X39)
        | ~ r1(X37,X38)
        | ~ r1(X36,X37)
        | ~ r1(X35,X36)
        | ~ r1(X34,X35)
        | ~ r1(X33,X34)
        | ~ r1(X32,X33)
        | ~ r1(X31,X32)
        | ~ r1(X30,X31)
        | ~ r1(X29,X30)
        | ~ r1(X28,X29)
        | ~ r1(esk1_0,X28) )
      & ( r1(X37,esk5_10(X28,X29,X30,X31,X32,X33,X34,X35,X36,X37))
        | p1(esk4_12(X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39))
        | ~ r1(X38,X39)
        | ~ r1(X37,X38)
        | ~ r1(X36,X37)
        | ~ r1(X35,X36)
        | ~ r1(X34,X35)
        | ~ r1(X33,X34)
        | ~ r1(X32,X33)
        | ~ r1(X31,X32)
        | ~ r1(X30,X31)
        | ~ r1(X29,X30)
        | ~ r1(X28,X29)
        | ~ r1(esk1_0,X28) )
      & ( ~ r1(esk5_10(X28,X29,X30,X31,X32,X33,X34,X35,X36,X37),X42)
        | ~ p1(X42)
        | p1(esk4_12(X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39))
        | ~ r1(X38,X39)
        | ~ r1(X37,X38)
        | ~ r1(X36,X37)
        | ~ r1(X35,X36)
        | ~ r1(X34,X35)
        | ~ r1(X33,X34)
        | ~ r1(X32,X33)
        | ~ r1(X31,X32)
        | ~ r1(X30,X31)
        | ~ r1(X29,X30)
        | ~ r1(X28,X29)
        | ~ r1(esk1_0,X28) )
      & ( r1(X52,esk6_10(X43,X44,X45,X46,X47,X48,X49,X50,X51,X52))
        | ~ r1(X52,X53)
        | ~ r1(X53,X54)
        | p1(X54)
        | ~ r1(X51,X52)
        | ~ r1(X50,X51)
        | ~ r1(X49,X50)
        | ~ r1(X48,X49)
        | ~ r1(X47,X48)
        | ~ r1(X46,X47)
        | ~ r1(X45,X46)
        | ~ r1(X44,X45)
        | ~ r1(X43,X44)
        | ~ r1(esk1_0,X43) )
      & ( ~ p1(esk6_10(X43,X44,X45,X46,X47,X48,X49,X50,X51,X52))
        | ~ r1(X52,X53)
        | ~ r1(X53,X54)
        | p1(X54)
        | ~ r1(X51,X52)
        | ~ r1(X50,X51)
        | ~ r1(X49,X50)
        | ~ r1(X48,X49)
        | ~ r1(X47,X48)
        | ~ r1(X46,X47)
        | ~ r1(X45,X46)
        | ~ r1(X44,X45)
        | ~ r1(X43,X44)
        | ~ r1(esk1_0,X43) )
      & ( ~ r1(esk1_0,X56)
        | ~ r1(X56,X57)
        | ~ r1(X57,X58)
        | ~ r1(X58,X59)
        | ~ r1(X59,X60)
        | ~ r1(X60,X61)
        | ~ r1(X61,X62)
        | ~ r1(X62,X63)
        | ~ r1(X63,X64)
        | ~ r1(X64,X65)
        | r1(X65,esk7_10(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65)) )
      & r1(esk1_0,esk8_0)
      & r1(esk8_0,esk9_0)
      & r1(esk9_0,esk10_0)
      & r1(esk10_0,esk11_0)
      & r1(esk11_0,esk12_0)
      & r1(esk12_0,esk13_0)
      & r1(esk13_0,esk14_0)
      & r1(esk14_0,esk15_0)
      & r1(esk15_0,esk16_0)
      & r1(esk16_0,esk17_0)
      & ~ p1(esk17_0)
      & ( ~ r1(esk17_0,X77)
        | p1(X77) )
      & ( r1(X87,esk18_10(X78,X79,X80,X81,X82,X83,X84,X85,X86,X87))
        | ~ r1(X86,X87)
        | p1(X86)
        | ~ r1(X85,X86)
        | ~ r1(X84,X85)
        | ~ r1(X83,X84)
        | ~ r1(X82,X83)
        | ~ r1(X81,X82)
        | ~ r1(X80,X81)
        | ~ r1(X79,X80)
        | ~ r1(X78,X79)
        | ~ r1(esk1_0,X78) )
      & ( ~ p1(esk18_10(X78,X79,X80,X81,X82,X83,X84,X85,X86,X87))
        | ~ r1(X86,X87)
        | p1(X86)
        | ~ r1(X85,X86)
        | ~ r1(X84,X85)
        | ~ r1(X83,X84)
        | ~ r1(X82,X83)
        | ~ r1(X81,X82)
        | ~ r1(X80,X81)
        | ~ r1(X79,X80)
        | ~ r1(X78,X79)
        | ~ r1(esk1_0,X78) )
      & ( r1(X98,esk19_10(X89,X90,X91,X92,X93,X94,X95,X96,X97,X98))
        | ~ r1(X97,X98)
        | ~ p1(X97)
        | ~ r1(X96,X97)
        | ~ r1(X95,X96)
        | ~ r1(X94,X95)
        | ~ r1(X93,X94)
        | ~ r1(X92,X93)
        | ~ r1(X91,X92)
        | ~ r1(X90,X91)
        | ~ r1(X89,X90)
        | ~ r1(esk1_0,X89) )
      & ( p1(esk19_10(X89,X90,X91,X92,X93,X94,X95,X96,X97,X98))
        | ~ r1(X97,X98)
        | ~ p1(X97)
        | ~ r1(X96,X97)
        | ~ r1(X95,X96)
        | ~ r1(X94,X95)
        | ~ r1(X93,X94)
        | ~ r1(X92,X93)
        | ~ r1(X91,X92)
        | ~ r1(X90,X91)
        | ~ r1(X89,X90)
        | ~ r1(esk1_0,X89) )
      & ( r1(X108,esk21_9(X100,X101,X102,X103,X104,X105,X106,X107,X108))
        | r1(X110,esk20_11(X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110))
        | ~ r1(X109,X110)
        | ~ r1(X108,X109)
        | ~ r1(X107,X108)
        | ~ r1(X106,X107)
        | ~ r1(X105,X106)
        | ~ r1(X104,X105)
        | ~ r1(X103,X104)
        | ~ r1(X102,X103)
        | ~ r1(X101,X102)
        | ~ r1(X100,X101)
        | ~ r1(esk1_0,X100) )
      & ( ~ r1(esk21_9(X100,X101,X102,X103,X104,X105,X106,X107,X108),X113)
        | ~ p1(X113)
        | r1(X110,esk20_11(X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110))
        | ~ r1(X109,X110)
        | ~ r1(X108,X109)
        | ~ r1(X107,X108)
        | ~ r1(X106,X107)
        | ~ r1(X105,X106)
        | ~ r1(X104,X105)
        | ~ r1(X103,X104)
        | ~ r1(X102,X103)
        | ~ r1(X101,X102)
        | ~ r1(X100,X101)
        | ~ r1(esk1_0,X100) )
      & ( r1(X108,esk21_9(X100,X101,X102,X103,X104,X105,X106,X107,X108))
        | p1(esk20_11(X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110))
        | ~ r1(X109,X110)
        | ~ r1(X108,X109)
        | ~ r1(X107,X108)
        | ~ r1(X106,X107)
        | ~ r1(X105,X106)
        | ~ r1(X104,X105)
        | ~ r1(X103,X104)
        | ~ r1(X102,X103)
        | ~ r1(X101,X102)
        | ~ r1(X100,X101)
        | ~ r1(esk1_0,X100) )
      & ( ~ r1(esk21_9(X100,X101,X102,X103,X104,X105,X106,X107,X108),X113)
        | ~ p1(X113)
        | p1(esk20_11(X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110))
        | ~ r1(X109,X110)
        | ~ r1(X108,X109)
        | ~ r1(X107,X108)
        | ~ r1(X106,X107)
        | ~ r1(X105,X106)
        | ~ r1(X104,X105)
        | ~ r1(X103,X104)
        | ~ r1(X102,X103)
        | ~ r1(X101,X102)
        | ~ r1(X100,X101)
        | ~ r1(esk1_0,X100) )
      & ( r1(X122,esk22_9(X114,X115,X116,X117,X118,X119,X120,X121,X122))
        | ~ r1(X122,X123)
        | ~ r1(X123,X124)
        | p1(X124)
        | ~ r1(X121,X122)
        | ~ r1(X120,X121)
        | ~ r1(X119,X120)
        | ~ r1(X118,X119)
        | ~ r1(X117,X118)
        | ~ r1(X116,X117)
        | ~ r1(X115,X116)
        | ~ r1(X114,X115)
        | ~ r1(esk1_0,X114) )
      & ( ~ p1(esk22_9(X114,X115,X116,X117,X118,X119,X120,X121,X122))
        | ~ r1(X122,X123)
        | ~ r1(X123,X124)
        | p1(X124)
        | ~ r1(X121,X122)
        | ~ r1(X120,X121)
        | ~ r1(X119,X120)
        | ~ r1(X118,X119)
        | ~ r1(X117,X118)
        | ~ r1(X116,X117)
        | ~ r1(X115,X116)
        | ~ r1(X114,X115)
        | ~ r1(esk1_0,X114) )
      & ( ~ r1(esk1_0,X126)
        | ~ r1(X126,X127)
        | ~ r1(X127,X128)
        | ~ r1(X128,X129)
        | ~ r1(X129,X130)
        | ~ r1(X130,X131)
        | ~ r1(X131,X132)
        | ~ r1(X132,X133)
        | ~ r1(X133,X134)
        | r1(X134,esk23_9(X126,X127,X128,X129,X130,X131,X132,X133,X134)) )
      & r1(esk1_0,esk24_0)
      & r1(esk24_0,esk25_0)
      & r1(esk25_0,esk26_0)
      & r1(esk26_0,esk27_0)
      & r1(esk27_0,esk28_0)
      & r1(esk28_0,esk29_0)
      & r1(esk29_0,esk30_0)
      & r1(esk30_0,esk31_0)
      & r1(esk31_0,esk32_0)
      & r1(esk32_0,esk33_0)
      & ~ p1(esk33_0)
      & ( ~ r1(esk33_0,X146)
        | p1(X146) )
      & ( r1(X155,esk34_9(X147,X148,X149,X150,X151,X152,X153,X154,X155))
        | ~ r1(X154,X155)
        | p1(X154)
        | ~ r1(X153,X154)
        | ~ r1(X152,X153)
        | ~ r1(X151,X152)
        | ~ r1(X150,X151)
        | ~ r1(X149,X150)
        | ~ r1(X148,X149)
        | ~ r1(X147,X148)
        | ~ r1(esk1_0,X147) )
      & ( ~ p1(esk34_9(X147,X148,X149,X150,X151,X152,X153,X154,X155))
        | ~ r1(X154,X155)
        | p1(X154)
        | ~ r1(X153,X154)
        | ~ r1(X152,X153)
        | ~ r1(X151,X152)
        | ~ r1(X150,X151)
        | ~ r1(X149,X150)
        | ~ r1(X148,X149)
        | ~ r1(X147,X148)
        | ~ r1(esk1_0,X147) )
      & ( r1(X165,esk35_9(X157,X158,X159,X160,X161,X162,X163,X164,X165))
        | ~ r1(X164,X165)
        | ~ p1(X164)
        | ~ r1(X163,X164)
        | ~ r1(X162,X163)
        | ~ r1(X161,X162)
        | ~ r1(X160,X161)
        | ~ r1(X159,X160)
        | ~ r1(X158,X159)
        | ~ r1(X157,X158)
        | ~ r1(esk1_0,X157) )
      & ( p1(esk35_9(X157,X158,X159,X160,X161,X162,X163,X164,X165))
        | ~ r1(X164,X165)
        | ~ p1(X164)
        | ~ r1(X163,X164)
        | ~ r1(X162,X163)
        | ~ r1(X161,X162)
        | ~ r1(X160,X161)
        | ~ r1(X159,X160)
        | ~ r1(X158,X159)
        | ~ r1(X157,X158)
        | ~ r1(esk1_0,X157) )
      & ( r1(X174,esk37_8(X167,X168,X169,X170,X171,X172,X173,X174))
        | r1(X176,esk36_10(X167,X168,X169,X170,X171,X172,X173,X174,X175,X176))
        | ~ r1(X175,X176)
        | ~ r1(X174,X175)
        | ~ r1(X173,X174)
        | ~ r1(X172,X173)
        | ~ r1(X171,X172)
        | ~ r1(X170,X171)
        | ~ r1(X169,X170)
        | ~ r1(X168,X169)
        | ~ r1(X167,X168)
        | ~ r1(esk1_0,X167) )
      & ( ~ r1(esk37_8(X167,X168,X169,X170,X171,X172,X173,X174),X179)
        | ~ p1(X179)
        | r1(X176,esk36_10(X167,X168,X169,X170,X171,X172,X173,X174,X175,X176))
        | ~ r1(X175,X176)
        | ~ r1(X174,X175)
        | ~ r1(X173,X174)
        | ~ r1(X172,X173)
        | ~ r1(X171,X172)
        | ~ r1(X170,X171)
        | ~ r1(X169,X170)
        | ~ r1(X168,X169)
        | ~ r1(X167,X168)
        | ~ r1(esk1_0,X167) )
      & ( r1(X174,esk37_8(X167,X168,X169,X170,X171,X172,X173,X174))
        | p1(esk36_10(X167,X168,X169,X170,X171,X172,X173,X174,X175,X176))
        | ~ r1(X175,X176)
        | ~ r1(X174,X175)
        | ~ r1(X173,X174)
        | ~ r1(X172,X173)
        | ~ r1(X171,X172)
        | ~ r1(X170,X171)
        | ~ r1(X169,X170)
        | ~ r1(X168,X169)
        | ~ r1(X167,X168)
        | ~ r1(esk1_0,X167) )
      & ( ~ r1(esk37_8(X167,X168,X169,X170,X171,X172,X173,X174),X179)
        | ~ p1(X179)
        | p1(esk36_10(X167,X168,X169,X170,X171,X172,X173,X174,X175,X176))
        | ~ r1(X175,X176)
        | ~ r1(X174,X175)
        | ~ r1(X173,X174)
        | ~ r1(X172,X173)
        | ~ r1(X171,X172)
        | ~ r1(X170,X171)
        | ~ r1(X169,X170)
        | ~ r1(X168,X169)
        | ~ r1(X167,X168)
        | ~ r1(esk1_0,X167) )
      & ( r1(X187,esk38_8(X180,X181,X182,X183,X184,X185,X186,X187))
        | ~ r1(X187,X188)
        | ~ r1(X188,X189)
        | p1(X189)
        | ~ r1(X186,X187)
        | ~ r1(X185,X186)
        | ~ r1(X184,X185)
        | ~ r1(X183,X184)
        | ~ r1(X182,X183)
        | ~ r1(X181,X182)
        | ~ r1(X180,X181)
        | ~ r1(esk1_0,X180) )
      & ( ~ p1(esk38_8(X180,X181,X182,X183,X184,X185,X186,X187))
        | ~ r1(X187,X188)
        | ~ r1(X188,X189)
        | p1(X189)
        | ~ r1(X186,X187)
        | ~ r1(X185,X186)
        | ~ r1(X184,X185)
        | ~ r1(X183,X184)
        | ~ r1(X182,X183)
        | ~ r1(X181,X182)
        | ~ r1(X180,X181)
        | ~ r1(esk1_0,X180) )
      & ( ~ r1(esk1_0,X191)
        | ~ r1(X191,X192)
        | ~ r1(X192,X193)
        | ~ r1(X193,X194)
        | ~ r1(X194,X195)
        | ~ r1(X195,X196)
        | ~ r1(X196,X197)
        | ~ r1(X197,X198)
        | r1(X198,esk39_8(X191,X192,X193,X194,X195,X196,X197,X198)) )
      & r1(esk1_0,esk40_0)
      & r1(esk40_0,esk41_0)
      & r1(esk41_0,esk42_0)
      & r1(esk42_0,esk43_0)
      & r1(esk43_0,esk44_0)
      & r1(esk44_0,esk45_0)
      & r1(esk45_0,esk46_0)
      & r1(esk46_0,esk47_0)
      & r1(esk47_0,esk48_0)
      & r1(esk48_0,esk49_0)
      & ~ p1(esk49_0)
      & ( ~ r1(esk49_0,X210)
        | p1(X210) )
      & ( r1(X218,esk50_8(X211,X212,X213,X214,X215,X216,X217,X218))
        | ~ r1(X217,X218)
        | p1(X217)
        | ~ r1(X216,X217)
        | ~ r1(X215,X216)
        | ~ r1(X214,X215)
        | ~ r1(X213,X214)
        | ~ r1(X212,X213)
        | ~ r1(X211,X212)
        | ~ r1(esk1_0,X211) )
      & ( ~ p1(esk50_8(X211,X212,X213,X214,X215,X216,X217,X218))
        | ~ r1(X217,X218)
        | p1(X217)
        | ~ r1(X216,X217)
        | ~ r1(X215,X216)
        | ~ r1(X214,X215)
        | ~ r1(X213,X214)
        | ~ r1(X212,X213)
        | ~ r1(X211,X212)
        | ~ r1(esk1_0,X211) )
      & ( r1(X227,esk51_8(X220,X221,X222,X223,X224,X225,X226,X227))
        | ~ r1(X226,X227)
        | ~ p1(X226)
        | ~ r1(X225,X226)
        | ~ r1(X224,X225)
        | ~ r1(X223,X224)
        | ~ r1(X222,X223)
        | ~ r1(X221,X222)
        | ~ r1(X220,X221)
        | ~ r1(esk1_0,X220) )
      & ( p1(esk51_8(X220,X221,X222,X223,X224,X225,X226,X227))
        | ~ r1(X226,X227)
        | ~ p1(X226)
        | ~ r1(X225,X226)
        | ~ r1(X224,X225)
        | ~ r1(X223,X224)
        | ~ r1(X222,X223)
        | ~ r1(X221,X222)
        | ~ r1(X220,X221)
        | ~ r1(esk1_0,X220) )
      & ( r1(X235,esk53_7(X229,X230,X231,X232,X233,X234,X235))
        | r1(X237,esk52_9(X229,X230,X231,X232,X233,X234,X235,X236,X237))
        | ~ r1(X236,X237)
        | ~ r1(X235,X236)
        | ~ r1(X234,X235)
        | ~ r1(X233,X234)
        | ~ r1(X232,X233)
        | ~ r1(X231,X232)
        | ~ r1(X230,X231)
        | ~ r1(X229,X230)
        | ~ r1(esk1_0,X229) )
      & ( ~ r1(esk53_7(X229,X230,X231,X232,X233,X234,X235),X240)
        | ~ p1(X240)
        | r1(X237,esk52_9(X229,X230,X231,X232,X233,X234,X235,X236,X237))
        | ~ r1(X236,X237)
        | ~ r1(X235,X236)
        | ~ r1(X234,X235)
        | ~ r1(X233,X234)
        | ~ r1(X232,X233)
        | ~ r1(X231,X232)
        | ~ r1(X230,X231)
        | ~ r1(X229,X230)
        | ~ r1(esk1_0,X229) )
      & ( r1(X235,esk53_7(X229,X230,X231,X232,X233,X234,X235))
        | p1(esk52_9(X229,X230,X231,X232,X233,X234,X235,X236,X237))
        | ~ r1(X236,X237)
        | ~ r1(X235,X236)
        | ~ r1(X234,X235)
        | ~ r1(X233,X234)
        | ~ r1(X232,X233)
        | ~ r1(X231,X232)
        | ~ r1(X230,X231)
        | ~ r1(X229,X230)
        | ~ r1(esk1_0,X229) )
      & ( ~ r1(esk53_7(X229,X230,X231,X232,X233,X234,X235),X240)
        | ~ p1(X240)
        | p1(esk52_9(X229,X230,X231,X232,X233,X234,X235,X236,X237))
        | ~ r1(X236,X237)
        | ~ r1(X235,X236)
        | ~ r1(X234,X235)
        | ~ r1(X233,X234)
        | ~ r1(X232,X233)
        | ~ r1(X231,X232)
        | ~ r1(X230,X231)
        | ~ r1(X229,X230)
        | ~ r1(esk1_0,X229) )
      & ( r1(X247,esk54_7(X241,X242,X243,X244,X245,X246,X247))
        | ~ r1(X247,X248)
        | ~ r1(X248,X249)
        | p1(X249)
        | ~ r1(X246,X247)
        | ~ r1(X245,X246)
        | ~ r1(X244,X245)
        | ~ r1(X243,X244)
        | ~ r1(X242,X243)
        | ~ r1(X241,X242)
        | ~ r1(esk1_0,X241) )
      & ( ~ p1(esk54_7(X241,X242,X243,X244,X245,X246,X247))
        | ~ r1(X247,X248)
        | ~ r1(X248,X249)
        | p1(X249)
        | ~ r1(X246,X247)
        | ~ r1(X245,X246)
        | ~ r1(X244,X245)
        | ~ r1(X243,X244)
        | ~ r1(X242,X243)
        | ~ r1(X241,X242)
        | ~ r1(esk1_0,X241) )
      & ( ~ r1(esk1_0,X251)
        | ~ r1(X251,X252)
        | ~ r1(X252,X253)
        | ~ r1(X253,X254)
        | ~ r1(X254,X255)
        | ~ r1(X255,X256)
        | ~ r1(X256,X257)
        | r1(X257,esk55_7(X251,X252,X253,X254,X255,X256,X257)) )
      & r1(esk1_0,esk56_0)
      & r1(esk56_0,esk57_0)
      & r1(esk57_0,esk58_0)
      & r1(esk58_0,esk59_0)
      & r1(esk59_0,esk60_0)
      & r1(esk60_0,esk61_0)
      & r1(esk61_0,esk62_0)
      & r1(esk62_0,esk63_0)
      & r1(esk63_0,esk64_0)
      & r1(esk64_0,esk65_0)
      & ~ p1(esk65_0)
      & ( ~ r1(esk65_0,X269)
        | p1(X269) )
      & ( r1(X276,esk66_7(X270,X271,X272,X273,X274,X275,X276))
        | ~ r1(X275,X276)
        | p1(X275)
        | ~ r1(X274,X275)
        | ~ r1(X273,X274)
        | ~ r1(X272,X273)
        | ~ r1(X271,X272)
        | ~ r1(X270,X271)
        | ~ r1(esk1_0,X270) )
      & ( ~ p1(esk66_7(X270,X271,X272,X273,X274,X275,X276))
        | ~ r1(X275,X276)
        | p1(X275)
        | ~ r1(X274,X275)
        | ~ r1(X273,X274)
        | ~ r1(X272,X273)
        | ~ r1(X271,X272)
        | ~ r1(X270,X271)
        | ~ r1(esk1_0,X270) )
      & ( r1(X284,esk67_7(X278,X279,X280,X281,X282,X283,X284))
        | ~ r1(X283,X284)
        | ~ p1(X283)
        | ~ r1(X282,X283)
        | ~ r1(X281,X282)
        | ~ r1(X280,X281)
        | ~ r1(X279,X280)
        | ~ r1(X278,X279)
        | ~ r1(esk1_0,X278) )
      & ( p1(esk67_7(X278,X279,X280,X281,X282,X283,X284))
        | ~ r1(X283,X284)
        | ~ p1(X283)
        | ~ r1(X282,X283)
        | ~ r1(X281,X282)
        | ~ r1(X280,X281)
        | ~ r1(X279,X280)
        | ~ r1(X278,X279)
        | ~ r1(esk1_0,X278) )
      & ( r1(X291,esk69_6(X286,X287,X288,X289,X290,X291))
        | r1(X293,esk68_8(X286,X287,X288,X289,X290,X291,X292,X293))
        | ~ r1(X292,X293)
        | ~ r1(X291,X292)
        | ~ r1(X290,X291)
        | ~ r1(X289,X290)
        | ~ r1(X288,X289)
        | ~ r1(X287,X288)
        | ~ r1(X286,X287)
        | ~ r1(esk1_0,X286) )
      & ( ~ r1(esk69_6(X286,X287,X288,X289,X290,X291),X296)
        | ~ p1(X296)
        | r1(X293,esk68_8(X286,X287,X288,X289,X290,X291,X292,X293))
        | ~ r1(X292,X293)
        | ~ r1(X291,X292)
        | ~ r1(X290,X291)
        | ~ r1(X289,X290)
        | ~ r1(X288,X289)
        | ~ r1(X287,X288)
        | ~ r1(X286,X287)
        | ~ r1(esk1_0,X286) )
      & ( r1(X291,esk69_6(X286,X287,X288,X289,X290,X291))
        | p1(esk68_8(X286,X287,X288,X289,X290,X291,X292,X293))
        | ~ r1(X292,X293)
        | ~ r1(X291,X292)
        | ~ r1(X290,X291)
        | ~ r1(X289,X290)
        | ~ r1(X288,X289)
        | ~ r1(X287,X288)
        | ~ r1(X286,X287)
        | ~ r1(esk1_0,X286) )
      & ( ~ r1(esk69_6(X286,X287,X288,X289,X290,X291),X296)
        | ~ p1(X296)
        | p1(esk68_8(X286,X287,X288,X289,X290,X291,X292,X293))
        | ~ r1(X292,X293)
        | ~ r1(X291,X292)
        | ~ r1(X290,X291)
        | ~ r1(X289,X290)
        | ~ r1(X288,X289)
        | ~ r1(X287,X288)
        | ~ r1(X286,X287)
        | ~ r1(esk1_0,X286) )
      & ( r1(X302,esk70_6(X297,X298,X299,X300,X301,X302))
        | ~ r1(X302,X303)
        | ~ r1(X303,X304)
        | p1(X304)
        | ~ r1(X301,X302)
        | ~ r1(X300,X301)
        | ~ r1(X299,X300)
        | ~ r1(X298,X299)
        | ~ r1(X297,X298)
        | ~ r1(esk1_0,X297) )
      & ( ~ p1(esk70_6(X297,X298,X299,X300,X301,X302))
        | ~ r1(X302,X303)
        | ~ r1(X303,X304)
        | p1(X304)
        | ~ r1(X301,X302)
        | ~ r1(X300,X301)
        | ~ r1(X299,X300)
        | ~ r1(X298,X299)
        | ~ r1(X297,X298)
        | ~ r1(esk1_0,X297) )
      & ( ~ r1(esk1_0,X306)
        | ~ r1(X306,X307)
        | ~ r1(X307,X308)
        | ~ r1(X308,X309)
        | ~ r1(X309,X310)
        | ~ r1(X310,X311)
        | r1(X311,esk71_6(X306,X307,X308,X309,X310,X311)) )
      & r1(esk1_0,esk72_0)
      & r1(esk72_0,esk73_0)
      & r1(esk73_0,esk74_0)
      & r1(esk74_0,esk75_0)
      & r1(esk75_0,esk76_0)
      & r1(esk76_0,esk77_0)
      & r1(esk77_0,esk78_0)
      & r1(esk78_0,esk79_0)
      & r1(esk79_0,esk80_0)
      & r1(esk80_0,esk81_0)
      & ~ p1(esk81_0)
      & ( ~ r1(esk81_0,X323)
        | p1(X323) )
      & ( r1(X329,esk82_6(X324,X325,X326,X327,X328,X329))
        | ~ r1(X328,X329)
        | p1(X328)
        | ~ r1(X327,X328)
        | ~ r1(X326,X327)
        | ~ r1(X325,X326)
        | ~ r1(X324,X325)
        | ~ r1(esk1_0,X324) )
      & ( ~ p1(esk82_6(X324,X325,X326,X327,X328,X329))
        | ~ r1(X328,X329)
        | p1(X328)
        | ~ r1(X327,X328)
        | ~ r1(X326,X327)
        | ~ r1(X325,X326)
        | ~ r1(X324,X325)
        | ~ r1(esk1_0,X324) )
      & ( r1(X336,esk83_6(X331,X332,X333,X334,X335,X336))
        | ~ r1(X335,X336)
        | ~ p1(X335)
        | ~ r1(X334,X335)
        | ~ r1(X333,X334)
        | ~ r1(X332,X333)
        | ~ r1(X331,X332)
        | ~ r1(esk1_0,X331) )
      & ( p1(esk83_6(X331,X332,X333,X334,X335,X336))
        | ~ r1(X335,X336)
        | ~ p1(X335)
        | ~ r1(X334,X335)
        | ~ r1(X333,X334)
        | ~ r1(X332,X333)
        | ~ r1(X331,X332)
        | ~ r1(esk1_0,X331) )
      & ( r1(X342,esk85_5(X338,X339,X340,X341,X342))
        | r1(X344,esk84_7(X338,X339,X340,X341,X342,X343,X344))
        | ~ r1(X343,X344)
        | ~ r1(X342,X343)
        | ~ r1(X341,X342)
        | ~ r1(X340,X341)
        | ~ r1(X339,X340)
        | ~ r1(X338,X339)
        | ~ r1(esk1_0,X338) )
      & ( ~ r1(esk85_5(X338,X339,X340,X341,X342),X347)
        | ~ p1(X347)
        | r1(X344,esk84_7(X338,X339,X340,X341,X342,X343,X344))
        | ~ r1(X343,X344)
        | ~ r1(X342,X343)
        | ~ r1(X341,X342)
        | ~ r1(X340,X341)
        | ~ r1(X339,X340)
        | ~ r1(X338,X339)
        | ~ r1(esk1_0,X338) )
      & ( r1(X342,esk85_5(X338,X339,X340,X341,X342))
        | p1(esk84_7(X338,X339,X340,X341,X342,X343,X344))
        | ~ r1(X343,X344)
        | ~ r1(X342,X343)
        | ~ r1(X341,X342)
        | ~ r1(X340,X341)
        | ~ r1(X339,X340)
        | ~ r1(X338,X339)
        | ~ r1(esk1_0,X338) )
      & ( ~ r1(esk85_5(X338,X339,X340,X341,X342),X347)
        | ~ p1(X347)
        | p1(esk84_7(X338,X339,X340,X341,X342,X343,X344))
        | ~ r1(X343,X344)
        | ~ r1(X342,X343)
        | ~ r1(X341,X342)
        | ~ r1(X340,X341)
        | ~ r1(X339,X340)
        | ~ r1(X338,X339)
        | ~ r1(esk1_0,X338) )
      & ( r1(X352,esk86_5(X348,X349,X350,X351,X352))
        | ~ r1(X352,X353)
        | ~ r1(X353,X354)
        | p1(X354)
        | ~ r1(X351,X352)
        | ~ r1(X350,X351)
        | ~ r1(X349,X350)
        | ~ r1(X348,X349)
        | ~ r1(esk1_0,X348) )
      & ( ~ p1(esk86_5(X348,X349,X350,X351,X352))
        | ~ r1(X352,X353)
        | ~ r1(X353,X354)
        | p1(X354)
        | ~ r1(X351,X352)
        | ~ r1(X350,X351)
        | ~ r1(X349,X350)
        | ~ r1(X348,X349)
        | ~ r1(esk1_0,X348) )
      & ( ~ r1(esk1_0,X356)
        | ~ r1(X356,X357)
        | ~ r1(X357,X358)
        | ~ r1(X358,X359)
        | ~ r1(X359,X360)
        | r1(X360,esk87_5(X356,X357,X358,X359,X360)) )
      & r1(esk1_0,esk88_0)
      & r1(esk88_0,esk89_0)
      & r1(esk89_0,esk90_0)
      & r1(esk90_0,esk91_0)
      & r1(esk91_0,esk92_0)
      & r1(esk92_0,esk93_0)
      & r1(esk93_0,esk94_0)
      & r1(esk94_0,esk95_0)
      & r1(esk95_0,esk96_0)
      & r1(esk96_0,esk97_0)
      & ~ p1(esk97_0)
      & ( ~ r1(esk97_0,X372)
        | p1(X372) )
      & ( r1(X377,esk98_5(X373,X374,X375,X376,X377))
        | ~ r1(X376,X377)
        | p1(X376)
        | ~ r1(X375,X376)
        | ~ r1(X374,X375)
        | ~ r1(X373,X374)
        | ~ r1(esk1_0,X373) )
      & ( ~ p1(esk98_5(X373,X374,X375,X376,X377))
        | ~ r1(X376,X377)
        | p1(X376)
        | ~ r1(X375,X376)
        | ~ r1(X374,X375)
        | ~ r1(X373,X374)
        | ~ r1(esk1_0,X373) )
      & ( r1(X383,esk99_5(X379,X380,X381,X382,X383))
        | ~ r1(X382,X383)
        | ~ p1(X382)
        | ~ r1(X381,X382)
        | ~ r1(X380,X381)
        | ~ r1(X379,X380)
        | ~ r1(esk1_0,X379) )
      & ( p1(esk99_5(X379,X380,X381,X382,X383))
        | ~ r1(X382,X383)
        | ~ p1(X382)
        | ~ r1(X381,X382)
        | ~ r1(X380,X381)
        | ~ r1(X379,X380)
        | ~ r1(esk1_0,X379) )
      & ( r1(X388,esk101_4(X385,X386,X387,X388))
        | r1(X390,esk100_6(X385,X386,X387,X388,X389,X390))
        | ~ r1(X389,X390)
        | ~ r1(X388,X389)
        | ~ r1(X387,X388)
        | ~ r1(X386,X387)
        | ~ r1(X385,X386)
        | ~ r1(esk1_0,X385) )
      & ( ~ r1(esk101_4(X385,X386,X387,X388),X393)
        | ~ p1(X393)
        | r1(X390,esk100_6(X385,X386,X387,X388,X389,X390))
        | ~ r1(X389,X390)
        | ~ r1(X388,X389)
        | ~ r1(X387,X388)
        | ~ r1(X386,X387)
        | ~ r1(X385,X386)
        | ~ r1(esk1_0,X385) )
      & ( r1(X388,esk101_4(X385,X386,X387,X388))
        | p1(esk100_6(X385,X386,X387,X388,X389,X390))
        | ~ r1(X389,X390)
        | ~ r1(X388,X389)
        | ~ r1(X387,X388)
        | ~ r1(X386,X387)
        | ~ r1(X385,X386)
        | ~ r1(esk1_0,X385) )
      & ( ~ r1(esk101_4(X385,X386,X387,X388),X393)
        | ~ p1(X393)
        | p1(esk100_6(X385,X386,X387,X388,X389,X390))
        | ~ r1(X389,X390)
        | ~ r1(X388,X389)
        | ~ r1(X387,X388)
        | ~ r1(X386,X387)
        | ~ r1(X385,X386)
        | ~ r1(esk1_0,X385) )
      & ( r1(X397,esk102_4(X394,X395,X396,X397))
        | ~ r1(X397,X398)
        | ~ r1(X398,X399)
        | p1(X399)
        | ~ r1(X396,X397)
        | ~ r1(X395,X396)
        | ~ r1(X394,X395)
        | ~ r1(esk1_0,X394) )
      & ( ~ p1(esk102_4(X394,X395,X396,X397))
        | ~ r1(X397,X398)
        | ~ r1(X398,X399)
        | p1(X399)
        | ~ r1(X396,X397)
        | ~ r1(X395,X396)
        | ~ r1(X394,X395)
        | ~ r1(esk1_0,X394) )
      & ( ~ r1(esk1_0,X401)
        | ~ r1(X401,X402)
        | ~ r1(X402,X403)
        | ~ r1(X403,X404)
        | r1(X404,esk103_4(X401,X402,X403,X404)) )
      & r1(esk1_0,esk104_0)
      & r1(esk104_0,esk105_0)
      & r1(esk105_0,esk106_0)
      & r1(esk106_0,esk107_0)
      & r1(esk107_0,esk108_0)
      & r1(esk108_0,esk109_0)
      & r1(esk109_0,esk110_0)
      & r1(esk110_0,esk111_0)
      & r1(esk111_0,esk112_0)
      & r1(esk112_0,esk113_0)
      & ~ p1(esk113_0)
      & ( ~ r1(esk113_0,X416)
        | p1(X416) )
      & ( r1(X420,esk114_4(X417,X418,X419,X420))
        | ~ r1(X419,X420)
        | p1(X419)
        | ~ r1(X418,X419)
        | ~ r1(X417,X418)
        | ~ r1(esk1_0,X417) )
      & ( ~ p1(esk114_4(X417,X418,X419,X420))
        | ~ r1(X419,X420)
        | p1(X419)
        | ~ r1(X418,X419)
        | ~ r1(X417,X418)
        | ~ r1(esk1_0,X417) )
      & ( r1(X425,esk115_4(X422,X423,X424,X425))
        | ~ r1(X424,X425)
        | ~ p1(X424)
        | ~ r1(X423,X424)
        | ~ r1(X422,X423)
        | ~ r1(esk1_0,X422) )
      & ( p1(esk115_4(X422,X423,X424,X425))
        | ~ r1(X424,X425)
        | ~ p1(X424)
        | ~ r1(X423,X424)
        | ~ r1(X422,X423)
        | ~ r1(esk1_0,X422) )
      & ( r1(X429,esk117_3(X427,X428,X429))
        | r1(X431,esk116_5(X427,X428,X429,X430,X431))
        | ~ r1(X430,X431)
        | ~ r1(X429,X430)
        | ~ r1(X428,X429)
        | ~ r1(X427,X428)
        | ~ r1(esk1_0,X427) )
      & ( ~ r1(esk117_3(X427,X428,X429),X434)
        | ~ p1(X434)
        | r1(X431,esk116_5(X427,X428,X429,X430,X431))
        | ~ r1(X430,X431)
        | ~ r1(X429,X430)
        | ~ r1(X428,X429)
        | ~ r1(X427,X428)
        | ~ r1(esk1_0,X427) )
      & ( r1(X429,esk117_3(X427,X428,X429))
        | p1(esk116_5(X427,X428,X429,X430,X431))
        | ~ r1(X430,X431)
        | ~ r1(X429,X430)
        | ~ r1(X428,X429)
        | ~ r1(X427,X428)
        | ~ r1(esk1_0,X427) )
      & ( ~ r1(esk117_3(X427,X428,X429),X434)
        | ~ p1(X434)
        | p1(esk116_5(X427,X428,X429,X430,X431))
        | ~ r1(X430,X431)
        | ~ r1(X429,X430)
        | ~ r1(X428,X429)
        | ~ r1(X427,X428)
        | ~ r1(esk1_0,X427) )
      & ( r1(X437,esk118_3(X435,X436,X437))
        | ~ r1(X437,X438)
        | ~ r1(X438,X439)
        | p1(X439)
        | ~ r1(X436,X437)
        | ~ r1(X435,X436)
        | ~ r1(esk1_0,X435) )
      & ( ~ p1(esk118_3(X435,X436,X437))
        | ~ r1(X437,X438)
        | ~ r1(X438,X439)
        | p1(X439)
        | ~ r1(X436,X437)
        | ~ r1(X435,X436)
        | ~ r1(esk1_0,X435) )
      & ( ~ r1(esk1_0,X441)
        | ~ r1(X441,X442)
        | ~ r1(X442,X443)
        | r1(X443,esk119_3(X441,X442,X443)) )
      & r1(esk1_0,esk120_0)
      & r1(esk120_0,esk121_0)
      & r1(esk121_0,esk122_0)
      & r1(esk122_0,esk123_0)
      & r1(esk123_0,esk124_0)
      & r1(esk124_0,esk125_0)
      & r1(esk125_0,esk126_0)
      & r1(esk126_0,esk127_0)
      & r1(esk127_0,esk128_0)
      & r1(esk128_0,esk129_0)
      & ~ p1(esk129_0)
      & ( ~ r1(esk129_0,X455)
        | p1(X455) )
      & ( r1(X458,esk130_3(X456,X457,X458))
        | ~ r1(X457,X458)
        | p1(X457)
        | ~ r1(X456,X457)
        | ~ r1(esk1_0,X456) )
      & ( ~ p1(esk130_3(X456,X457,X458))
        | ~ r1(X457,X458)
        | p1(X457)
        | ~ r1(X456,X457)
        | ~ r1(esk1_0,X456) )
      & ( r1(X462,esk131_3(X460,X461,X462))
        | ~ r1(X461,X462)
        | ~ p1(X461)
        | ~ r1(X460,X461)
        | ~ r1(esk1_0,X460) )
      & ( p1(esk131_3(X460,X461,X462))
        | ~ r1(X461,X462)
        | ~ p1(X461)
        | ~ r1(X460,X461)
        | ~ r1(esk1_0,X460) )
      & ( r1(X465,esk133_2(X464,X465))
        | r1(X467,esk132_4(X464,X465,X466,X467))
        | ~ r1(X466,X467)
        | ~ r1(X465,X466)
        | ~ r1(X464,X465)
        | ~ r1(esk1_0,X464) )
      & ( ~ r1(esk133_2(X464,X465),X470)
        | ~ p1(X470)
        | r1(X467,esk132_4(X464,X465,X466,X467))
        | ~ r1(X466,X467)
        | ~ r1(X465,X466)
        | ~ r1(X464,X465)
        | ~ r1(esk1_0,X464) )
      & ( r1(X465,esk133_2(X464,X465))
        | p1(esk132_4(X464,X465,X466,X467))
        | ~ r1(X466,X467)
        | ~ r1(X465,X466)
        | ~ r1(X464,X465)
        | ~ r1(esk1_0,X464) )
      & ( ~ r1(esk133_2(X464,X465),X470)
        | ~ p1(X470)
        | p1(esk132_4(X464,X465,X466,X467))
        | ~ r1(X466,X467)
        | ~ r1(X465,X466)
        | ~ r1(X464,X465)
        | ~ r1(esk1_0,X464) )
      & ( r1(X472,esk134_2(X471,X472))
        | ~ r1(X472,X473)
        | ~ r1(X473,X474)
        | p1(X474)
        | ~ r1(X471,X472)
        | ~ r1(esk1_0,X471) )
      & ( ~ p1(esk134_2(X471,X472))
        | ~ r1(X472,X473)
        | ~ r1(X473,X474)
        | p1(X474)
        | ~ r1(X471,X472)
        | ~ r1(esk1_0,X471) )
      & ( ~ r1(esk1_0,X476)
        | ~ r1(X476,X477)
        | r1(X477,esk135_2(X476,X477)) )
      & r1(esk1_0,esk136_0)
      & r1(esk136_0,esk137_0)
      & r1(esk137_0,esk138_0)
      & r1(esk138_0,esk139_0)
      & r1(esk139_0,esk140_0)
      & r1(esk140_0,esk141_0)
      & r1(esk141_0,esk142_0)
      & r1(esk142_0,esk143_0)
      & r1(esk143_0,esk144_0)
      & r1(esk144_0,esk145_0)
      & ~ p1(esk145_0)
      & ( ~ r1(esk145_0,X489)
        | p1(X489) )
      & ( r1(X491,esk146_2(X490,X491))
        | ~ r1(X490,X491)
        | p1(X490)
        | ~ r1(esk1_0,X490) )
      & ( ~ p1(esk146_2(X490,X491))
        | ~ r1(X490,X491)
        | p1(X490)
        | ~ r1(esk1_0,X490) )
      & ( r1(X494,esk147_2(X493,X494))
        | ~ r1(X493,X494)
        | ~ p1(X493)
        | ~ r1(esk1_0,X493) )
      & ( p1(esk147_2(X493,X494))
        | ~ r1(X493,X494)
        | ~ p1(X493)
        | ~ r1(esk1_0,X493) )
      & ( r1(X496,esk149_1(X496))
        | r1(X498,esk148_3(X496,X497,X498))
        | ~ r1(X497,X498)
        | ~ r1(X496,X497)
        | ~ r1(esk1_0,X496) )
      & ( ~ r1(esk149_1(X496),X501)
        | ~ p1(X501)
        | r1(X498,esk148_3(X496,X497,X498))
        | ~ r1(X497,X498)
        | ~ r1(X496,X497)
        | ~ r1(esk1_0,X496) )
      & ( r1(X496,esk149_1(X496))
        | p1(esk148_3(X496,X497,X498))
        | ~ r1(X497,X498)
        | ~ r1(X496,X497)
        | ~ r1(esk1_0,X496) )
      & ( ~ r1(esk149_1(X496),X501)
        | ~ p1(X501)
        | p1(esk148_3(X496,X497,X498))
        | ~ r1(X497,X498)
        | ~ r1(X496,X497)
        | ~ r1(esk1_0,X496) )
      & ( r1(X502,esk150_1(X502))
        | ~ r1(X502,X503)
        | ~ r1(X503,X504)
        | p1(X504)
        | ~ r1(esk1_0,X502) )
      & ( ~ p1(esk150_1(X502))
        | ~ r1(X502,X503)
        | ~ r1(X503,X504)
        | p1(X504)
        | ~ r1(esk1_0,X502) )
      & ( ~ r1(esk1_0,X506)
        | r1(X506,esk151_1(X506)) )
      & r1(esk1_0,esk152_0)
      & r1(esk152_0,esk153_0)
      & r1(esk153_0,esk154_0)
      & r1(esk154_0,esk155_0)
      & r1(esk155_0,esk156_0)
      & r1(esk156_0,esk157_0)
      & r1(esk157_0,esk158_0)
      & r1(esk158_0,esk159_0)
      & r1(esk159_0,esk160_0)
      & r1(esk160_0,esk161_0)
      & ~ p1(esk161_0)
      & ( ~ r1(esk161_0,X518)
        | p1(X518) ) ),
    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_1])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( r1(X1,esk18_10(X2,X3,X4,X5,X6,X7,X8,X9,X10,X1))
    | p1(X10)
    | ~ r1(X10,X1)
    | ~ r1(X9,X10)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    r1(esk1_0,esk152_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk18_10(esk152_0,X3,X4,X5,X6,X7,X8,X9,X1,X2))
    | ~ r1(esk152_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X9,X1)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,negated_conjecture,
    r1(esk152_0,esk153_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk18_10(esk152_0,esk153_0,X3,X4,X5,X6,X7,X8,X1,X2))
    | ~ r1(esk153_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X8,X1)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    r1(esk153_0,esk154_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    ( r1(X1,esk19_10(X2,X3,X4,X5,X6,X7,X8,X9,X10,X1))
    | ~ r1(X10,X1)
    | ~ p1(X10)
    | ~ r1(X9,X10)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk18_10(esk152_0,esk153_0,esk154_0,X3,X4,X5,X6,X7,X1,X2))
    | ~ r1(esk154_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X7,X1)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    r1(esk154_0,esk155_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( r1(X1,esk6_10(X2,X3,X4,X5,X6,X7,X8,X9,X10,X1))
    | p1(X12)
    | ~ r1(X1,X11)
    | ~ r1(X11,X12)
    | ~ r1(X10,X1)
    | ~ r1(X9,X10)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( r1(X1,esk19_10(esk152_0,X2,X3,X4,X5,X6,X7,X8,X9,X1))
    | ~ p1(X9)
    | ~ r1(esk152_0,X2)
    | ~ r1(X9,X1)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_9,c_0_4]) ).

cnf(c_0_14,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk18_10(esk152_0,esk153_0,esk154_0,esk155_0,X3,X4,X5,X6,X1,X2))
    | ~ r1(esk155_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X6,X1)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    r1(esk155_0,esk156_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16,negated_conjecture,
    ( r1(X1,esk2_11(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X1))
    | p1(X11)
    | ~ r1(X11,X1)
    | ~ r1(X10,X11)
    | ~ r1(X9,X10)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_10(esk152_0,X3,X4,X5,X6,X7,X8,X9,X10,X2))
    | ~ r1(esk152_0,X3)
    | ~ r1(X11,X1)
    | ~ r1(X10,X2)
    | ~ r1(X9,X10)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X11) ),
    inference(spm,[status(thm)],[c_0_12,c_0_4]) ).

cnf(c_0_18,negated_conjecture,
    ( r1(X1,esk19_10(esk152_0,esk153_0,X2,X3,X4,X5,X6,X7,X8,X1))
    | ~ p1(X8)
    | ~ r1(esk153_0,X2)
    | ~ r1(X8,X1)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_6]) ).

cnf(c_0_19,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk18_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,X3,X4,X5,X1,X2))
    | ~ r1(esk156_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X5,X1)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    r1(esk156_0,esk157_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_21,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_11(esk152_0,X3,X4,X5,X6,X7,X8,X9,X10,X1,X2))
    | ~ r1(esk152_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X10,X1)
    | ~ r1(X9,X10)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_16,c_0_4]) ).

cnf(c_0_22,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_10(esk152_0,esk153_0,X3,X4,X5,X6,X7,X8,X9,X2))
    | ~ r1(esk153_0,X3)
    | ~ r1(X10,X1)
    | ~ r1(X9,X2)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X10) ),
    inference(spm,[status(thm)],[c_0_17,c_0_6]) ).

cnf(c_0_23,negated_conjecture,
    ( r1(X1,esk19_10(esk152_0,esk153_0,esk154_0,X2,X3,X4,X5,X6,X7,X1))
    | ~ p1(X7)
    | ~ r1(esk154_0,X2)
    | ~ r1(X7,X1)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_18,c_0_8]) ).

cnf(c_0_24,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk18_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,X3,X4,X1,X2))
    | ~ r1(esk157_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X4,X1)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    r1(esk157_0,esk158_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_26,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_11(esk152_0,esk153_0,X3,X4,X5,X6,X7,X8,X9,X1,X2))
    | ~ r1(esk153_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X9,X1)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_21,c_0_6]) ).

cnf(c_0_27,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_10(esk152_0,esk153_0,esk154_0,X3,X4,X5,X6,X7,X8,X2))
    | ~ r1(esk154_0,X3)
    | ~ r1(X9,X1)
    | ~ r1(X8,X2)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X9) ),
    inference(spm,[status(thm)],[c_0_22,c_0_8]) ).

cnf(c_0_28,negated_conjecture,
    ( r1(X1,esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,X2,X3,X4,X5,X6,X1))
    | ~ p1(X6)
    | ~ r1(esk155_0,X2)
    | ~ r1(X6,X1)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_11]) ).

cnf(c_0_29,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk18_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,X3,X1,X2))
    | ~ r1(esk158_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    r1(esk158_0,esk159_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_31,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_11(esk152_0,esk153_0,esk154_0,X3,X4,X5,X6,X7,X8,X1,X2))
    | ~ r1(esk154_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X8,X1)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_26,c_0_8]) ).

cnf(c_0_32,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_10(esk152_0,esk153_0,esk154_0,esk155_0,X3,X4,X5,X6,X7,X2))
    | ~ r1(esk155_0,X3)
    | ~ r1(X8,X1)
    | ~ r1(X7,X2)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X8) ),
    inference(spm,[status(thm)],[c_0_27,c_0_11]) ).

cnf(c_0_33,negated_conjecture,
    ( r1(X1,esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,X2,X3,X4,X5,X1))
    | ~ p1(X5)
    | ~ r1(esk156_0,X2)
    | ~ r1(X5,X1)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_15]) ).

cnf(c_0_34,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk18_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,X1,X2))
    | ~ r1(esk159_0,X1)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    r1(esk159_0,esk160_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_36,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_11(esk152_0,esk153_0,esk154_0,esk155_0,X3,X4,X5,X6,X7,X1,X2))
    | ~ r1(esk155_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X7,X1)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_31,c_0_11]) ).

cnf(c_0_37,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,X3,X4,X5,X6,X2))
    | ~ r1(esk156_0,X3)
    | ~ r1(X7,X1)
    | ~ r1(X6,X2)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X7) ),
    inference(spm,[status(thm)],[c_0_32,c_0_15]) ).

cnf(c_0_38,negated_conjecture,
    ( r1(X1,esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,X2,X3,X4,X1))
    | ~ p1(X4)
    | ~ r1(esk157_0,X2)
    | ~ r1(X4,X1)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_33,c_0_20]) ).

cnf(c_0_39,negated_conjecture,
    ( p1(esk160_0)
    | r1(X1,esk18_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,X1))
    | ~ r1(esk160_0,X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    r1(esk160_0,esk161_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_41,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_11(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,X3,X4,X5,X6,X1,X2))
    | ~ r1(esk156_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X6,X1)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_36,c_0_15]) ).

cnf(c_0_42,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,X3,X4,X5,X2))
    | ~ r1(esk157_0,X3)
    | ~ r1(X6,X1)
    | ~ r1(X5,X2)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X6) ),
    inference(spm,[status(thm)],[c_0_37,c_0_20]) ).

cnf(c_0_43,negated_conjecture,
    ( r1(X1,esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,X2,X3,X1))
    | ~ p1(X3)
    | ~ r1(esk158_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_25]) ).

cnf(c_0_44,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk161_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_45,negated_conjecture,
    ( p1(esk160_0)
    | r1(esk161_0,esk18_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0)) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_46,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_11(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,X3,X4,X5,X1,X2))
    | ~ r1(esk157_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X5,X1)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_41,c_0_20]) ).

cnf(c_0_47,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,X3,X4,X2))
    | ~ r1(esk158_0,X3)
    | ~ r1(X5,X1)
    | ~ r1(X4,X2)
    | ~ r1(X3,X4)
    | ~ r1(X2,X5) ),
    inference(spm,[status(thm)],[c_0_42,c_0_25]) ).

cnf(c_0_48,negated_conjecture,
    ( r1(X1,esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,X2,X1))
    | ~ p1(X2)
    | ~ r1(esk159_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_30]) ).

cnf(c_0_49,negated_conjecture,
    ( p1(X9)
    | ~ p1(esk18_10(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10))
    | ~ r1(X9,X10)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(X1,X2)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_50,negated_conjecture,
    ( p1(esk18_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0))
    | p1(esk160_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_11(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,X3,X4,X1,X2))
    | ~ r1(esk158_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X4,X1)
    | ~ r1(X3,X4) ),
    inference(spm,[status(thm)],[c_0_46,c_0_25]) ).

cnf(c_0_52,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,X3,X2))
    | ~ r1(esk159_0,X3)
    | ~ r1(X4,X1)
    | ~ r1(X3,X2)
    | ~ r1(X2,X4) ),
    inference(spm,[status(thm)],[c_0_47,c_0_30]) ).

cnf(c_0_53,negated_conjecture,
    ( r1(X1,esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,X1))
    | ~ p1(esk160_0)
    | ~ r1(esk160_0,X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_35]) ).

cnf(c_0_54,negated_conjecture,
    p1(esk160_0),
    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(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_49,c_0_50]),c_0_4]),c_0_40]),c_0_35]),c_0_30]),c_0_25]),c_0_20]),c_0_15]),c_0_11]),c_0_8]),c_0_6])]) ).

cnf(c_0_55,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_11(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,X3,X1,X2))
    | ~ r1(esk159_0,X3)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_30]) ).

cnf(c_0_56,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,X2))
    | ~ r1(esk160_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_35]) ).

cnf(c_0_57,negated_conjecture,
    ( r1(X1,esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,X1))
    | ~ r1(esk160_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).

cnf(c_0_58,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_11(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,X1,X2))
    | ~ r1(esk160_0,X1)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_35]) ).

cnf(c_0_59,negated_conjecture,
    ~ p1(esk161_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_60,negated_conjecture,
    ( p1(X1)
    | r1(esk161_0,esk6_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0))
    | ~ r1(esk161_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_40]) ).

cnf(c_0_61,negated_conjecture,
    r1(esk161_0,esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0)),
    inference(spm,[status(thm)],[c_0_57,c_0_40]) ).

cnf(c_0_62,negated_conjecture,
    ( r1(X1,esk2_11(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0,X1))
    | ~ r1(esk161_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_40]),c_0_59]) ).

cnf(c_0_63,negated_conjecture,
    ( p1(X1)
    | r1(esk161_0,esk6_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0))
    | ~ r1(esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0),X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    r1(esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0),esk2_11(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0,esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0))),
    inference(spm,[status(thm)],[c_0_62,c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    ( p1(X10)
    | ~ p1(esk2_11(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11))
    | ~ r1(X10,X11)
    | ~ r1(X9,X10)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(X1,X2)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_66,negated_conjecture,
    ( p1(esk2_11(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0,esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0)))
    | r1(esk161_0,esk6_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0)) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    r1(esk161_0,esk6_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0)),
    inference(sr,[status(thm)],[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(rw,[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_65,c_0_66]),c_0_4]),c_0_61]),c_0_40]),c_0_35]),c_0_30]),c_0_25]),c_0_20]),c_0_15]),c_0_11]),c_0_8]),c_0_6])]),c_0_59]) ).

cnf(c_0_68,negated_conjecture,
    ( p1(X12)
    | ~ p1(esk6_10(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10))
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X9,X10)
    | ~ r1(X8,X9)
    | ~ r1(X7,X8)
    | ~ r1(X6,X7)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(X1,X2)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_69,negated_conjecture,
    p1(esk6_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0)),
    inference(spm,[status(thm)],[c_0_44,c_0_67]) ).

cnf(c_0_70,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk161_0,X2)
    | ~ r1(X2,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(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_68,c_0_69]),c_0_4]),c_0_40]),c_0_35]),c_0_30]),c_0_25]),c_0_20]),c_0_15]),c_0_11]),c_0_8]),c_0_6])]) ).

cnf(c_0_71,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0),X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_61]) ).

cnf(c_0_72,negated_conjecture,
    p1(esk2_11(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0,esk19_10(esk152_0,esk153_0,esk154_0,esk155_0,esk156_0,esk157_0,esk158_0,esk159_0,esk160_0,esk161_0))),
    inference(spm,[status(thm)],[c_0_71,c_0_64]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[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(rw,[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_65,c_0_72]),c_0_4]),c_0_61]),c_0_40]),c_0_35]),c_0_30]),c_0_25]),c_0_20]),c_0_15]),c_0_11]),c_0_8]),c_0_6])]),c_0_59]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL638+1.010 : 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
% 0.12/0.35  % Computer : n009.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Thu Aug 24 18:20:21 EDT 2023
% 0.12/0.36  % CPUTime  : 
% 0.21/0.57  start to proof: theBenchmark
% 16.38/16.46  % Version  : CSE_E---1.5
% 16.38/16.46  % Problem  : theBenchmark.p
% 16.38/16.46  % Proof found
% 16.38/16.46  % SZS status Theorem for theBenchmark.p
% 16.38/16.46  % SZS output start Proof
% See solution above
% 16.38/16.48  % Total time : 15.884000 s
% 16.38/16.48  % SZS output end Proof
% 16.38/16.48  % Total time : 15.892000 s
%------------------------------------------------------------------------------