TSTP Solution File: LCL672+1.005 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LCL672+1.005 : 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 : n025.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 06:58:58 EDT 2023

% Result   : Theorem 2.69s 2.87s
% Output   : CNFRefutation 2.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :  117
% Syntax   : Number of formulae    :  159 (  22 unt; 114 typ;   0 def)
%            Number of atoms       : 2187 (   0 equ)
%            Maximal formula atoms : 1000 (  48 avg)
%            Number of connectives : 4039 (1897   ~;1681   |; 460   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  411 (  15 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  104 (  28   >;  76   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :  111 ( 111 usr;  86 con; 0-7 aty)
%            Number of variables   :  934 (   0 sgn; 888   !;   2   ?;   0   :)

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

tff(decl_23,type,
    p2: $i > $o ).

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

tff(decl_25,type,
    esk1_0: $i ).

tff(decl_26,type,
    esk2_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_27,type,
    esk3_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_28,type,
    esk4_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_29,type,
    esk5_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_30,type,
    esk6_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_31,type,
    esk7_0: $i ).

tff(decl_32,type,
    esk8_0: $i ).

tff(decl_33,type,
    esk9_0: $i ).

tff(decl_34,type,
    esk10_0: $i ).

tff(decl_35,type,
    esk11_0: $i ).

tff(decl_36,type,
    esk12_0: $i ).

tff(decl_37,type,
    esk13_0: $i ).

tff(decl_38,type,
    esk14_0: $i ).

tff(decl_39,type,
    esk15_0: $i ).

tff(decl_40,type,
    esk16_0: $i ).

tff(decl_41,type,
    esk17_0: $i ).

tff(decl_42,type,
    esk18_0: $i ).

tff(decl_43,type,
    esk19_0: $i ).

tff(decl_44,type,
    esk20_0: $i ).

tff(decl_45,type,
    esk21_0: $i ).

tff(decl_46,type,
    esk22_0: $i ).

tff(decl_47,type,
    esk23_0: $i ).

tff(decl_48,type,
    esk24_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_49,type,
    esk25_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_50,type,
    esk26_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_51,type,
    esk27_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_52,type,
    esk28_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_53,type,
    esk29_0: $i ).

tff(decl_54,type,
    esk30_0: $i ).

tff(decl_55,type,
    esk31_0: $i ).

tff(decl_56,type,
    esk32_0: $i ).

tff(decl_57,type,
    esk33_0: $i ).

tff(decl_58,type,
    esk34_0: $i ).

tff(decl_59,type,
    esk35_0: $i ).

tff(decl_60,type,
    esk36_0: $i ).

tff(decl_61,type,
    esk37_0: $i ).

tff(decl_62,type,
    esk38_0: $i ).

tff(decl_63,type,
    esk39_0: $i ).

tff(decl_64,type,
    esk40_0: $i ).

tff(decl_65,type,
    esk41_0: $i ).

tff(decl_66,type,
    esk42_0: $i ).

tff(decl_67,type,
    esk43_0: $i ).

tff(decl_68,type,
    esk44_0: $i ).

tff(decl_69,type,
    esk45_0: $i ).

tff(decl_70,type,
    esk46_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_71,type,
    esk47_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_72,type,
    esk48_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_73,type,
    esk49_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_74,type,
    esk50_3: ( $i * $i * $i ) > $i ).

tff(decl_75,type,
    esk51_0: $i ).

tff(decl_76,type,
    esk52_0: $i ).

tff(decl_77,type,
    esk53_0: $i ).

tff(decl_78,type,
    esk54_0: $i ).

tff(decl_79,type,
    esk55_0: $i ).

tff(decl_80,type,
    esk56_0: $i ).

tff(decl_81,type,
    esk57_0: $i ).

tff(decl_82,type,
    esk58_0: $i ).

tff(decl_83,type,
    esk59_0: $i ).

tff(decl_84,type,
    esk60_0: $i ).

tff(decl_85,type,
    esk61_0: $i ).

tff(decl_86,type,
    esk62_0: $i ).

tff(decl_87,type,
    esk63_0: $i ).

tff(decl_88,type,
    esk64_0: $i ).

tff(decl_89,type,
    esk65_0: $i ).

tff(decl_90,type,
    esk66_0: $i ).

tff(decl_91,type,
    esk67_0: $i ).

tff(decl_92,type,
    esk68_3: ( $i * $i * $i ) > $i ).

tff(decl_93,type,
    esk69_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_94,type,
    esk70_3: ( $i * $i * $i ) > $i ).

tff(decl_95,type,
    esk71_3: ( $i * $i * $i ) > $i ).

tff(decl_96,type,
    esk72_2: ( $i * $i ) > $i ).

tff(decl_97,type,
    esk73_0: $i ).

tff(decl_98,type,
    esk74_0: $i ).

tff(decl_99,type,
    esk75_0: $i ).

tff(decl_100,type,
    esk76_0: $i ).

tff(decl_101,type,
    esk77_0: $i ).

tff(decl_102,type,
    esk78_0: $i ).

tff(decl_103,type,
    esk79_0: $i ).

tff(decl_104,type,
    esk80_0: $i ).

tff(decl_105,type,
    esk81_0: $i ).

tff(decl_106,type,
    esk82_0: $i ).

tff(decl_107,type,
    esk83_0: $i ).

tff(decl_108,type,
    esk84_0: $i ).

tff(decl_109,type,
    esk85_0: $i ).

tff(decl_110,type,
    esk86_0: $i ).

tff(decl_111,type,
    esk87_0: $i ).

tff(decl_112,type,
    esk88_0: $i ).

tff(decl_113,type,
    esk89_0: $i ).

tff(decl_114,type,
    esk90_2: ( $i * $i ) > $i ).

tff(decl_115,type,
    esk91_3: ( $i * $i * $i ) > $i ).

tff(decl_116,type,
    esk92_2: ( $i * $i ) > $i ).

tff(decl_117,type,
    esk93_2: ( $i * $i ) > $i ).

tff(decl_118,type,
    esk94_1: $i > $i ).

tff(decl_119,type,
    esk95_0: $i ).

tff(decl_120,type,
    esk96_0: $i ).

tff(decl_121,type,
    esk97_0: $i ).

tff(decl_122,type,
    esk98_0: $i ).

tff(decl_123,type,
    esk99_0: $i ).

tff(decl_124,type,
    esk100_0: $i ).

tff(decl_125,type,
    esk101_0: $i ).

tff(decl_126,type,
    esk102_0: $i ).

tff(decl_127,type,
    esk103_0: $i ).

tff(decl_128,type,
    esk104_0: $i ).

tff(decl_129,type,
    esk105_0: $i ).

tff(decl_130,type,
    esk106_0: $i ).

tff(decl_131,type,
    esk107_0: $i ).

tff(decl_132,type,
    esk108_0: $i ).

tff(decl_133,type,
    esk109_0: $i ).

tff(decl_134,type,
    esk110_0: $i ).

tff(decl_135,type,
    esk111_0: $i ).

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

fof(transitivity,axiom,
    ! [X1,X2,X3] :
      ( ( r1(X1,X2)
        & r1(X2,X3) )
     => r1(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

fof(reflexivity,axiom,
    ! [X1] : r1(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(c_0_3,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(X2) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p2(X1) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ( ~ ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | p2(X2) )
                                                      & ~ ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ~ ( ~ ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ p1(X2) ) )
                                                                & p1(X2) ) )
                                                      & ~ ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | p1(X2) ) ) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p1(X1) ) ) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p1(X2) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(X2) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p2(X1) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ( ~ ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | p2(X2) )
                                                      & ~ ! [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)
                                                            | p1(X2) ) ) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p1(X1) ) ) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p1(X2) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(X2) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p2(X1) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ( ~ ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | p2(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)
                                                            | p1(X2) ) ) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p1(X1) ) ) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p1(X2) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(X2) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p2(X1) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ( ~ ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | p2(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)
                                        | p1(X2) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p2(X1) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p2(X2) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p2(X1) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | p2(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)
                                | p1(X2) ) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p1(X1) ) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2) ) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(X2) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p2(X1) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ( ~ ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ p1(X1) ) )
                                                      & p1(X1) ) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p1(X1) ) ) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p1(X2) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(X2) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p2(X1) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ( ~ ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | p1(X2) ) )
                                                          & ~ ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | p1(X1) ) ) ) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p1(X1) ) ) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p1(X2) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(X2) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p2(X1) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ( ~ ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | p1(X2) ) ) )
                                                      & ~ ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | p1(X1) ) ) ) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p1(X1) ) ) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p1(X2) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(X2) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p2(X1) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ! [X2] : ~ r1(X1,X2) )
                                            & ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | p1(X1) ) ) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p1(X2) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p2(X1) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p2(X2) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p2(X1) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | p2(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)
                                | p1(X2) ) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p1(X1) ) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2) ) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(X2) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ p1(X2) ) )
                                            & p1(X2) ) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p1(X2) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(X2) )
                                  & ~ ! [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)
                                        | p1(X2) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(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)
                                        | p1(X2) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | p2(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)
                    | p1(X2) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p2(X1) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p2(X2) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p2(X1) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | p2(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)
                                | p1(X2) ) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p1(X1) ) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2) ) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ p1(X1) ) )
                                  & p1(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | p1(X2) ) )
                                      & ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p1(X1) ) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | p1(X2) ) ) )
                                  & ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p1(X1) ) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ! [X2] : ~ r1(X1,X2) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1) ) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p2(X1) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p2(X2) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p2(X1) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | p2(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)
                                | p1(X2) ) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p1(X1) ) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2) ) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ p1(X2) ) )
                        & p1(X2) ) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [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)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(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)
                    | p1(X2) ) )
            | ( ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p2(X2) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ! [X1] : ~ r1(X2,X1) )
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | p1(X2) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p2(X1) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p2(X2) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p2(X1) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | p2(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)
                                | p1(X2) ) )
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | p1(X1) ) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(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_4,plain,
    ! [X5,X6,X7] :
      ( ~ r1(X5,X6)
      | ~ r1(X6,X7)
      | r1(X5,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])]) ).

fof(c_0_5,negated_conjecture,
    ! [X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X57,X58,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X76,X77,X78,X79,X80,X92,X99,X100,X101,X102,X103,X104,X105,X106,X107,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X139,X140,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X155,X156,X157,X158,X170,X177,X178,X179,X180,X181,X182,X183,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X209,X210,X212,X213,X214,X215,X216,X217,X218,X219,X220,X222,X223,X224,X236,X243,X244,X245,X246,X247,X249,X250,X251,X252,X253,X254,X255,X256,X258,X259,X260,X261,X262,X263,X264,X265,X267,X268,X270,X271,X272,X273,X274,X275,X277,X278,X290,X297,X298,X299,X301,X302,X303,X304,X305,X307,X308,X309,X310,X311,X313,X314,X316,X317,X318,X320,X332] :
      ( ( r1(X19,esk2_6(X10,X12,X14,X16,X18,X19))
        | ~ r1(X18,X19)
        | ~ p1(X18)
        | ~ r1(X16,X18)
        | ~ r1(X16,X17)
        | p2(X17)
        | ~ r1(X16,X21)
        | p1(X21)
        | ~ r1(X14,X16)
        | ~ r1(X14,X15)
        | p2(X15)
        | ~ r1(X14,X22)
        | p1(X22)
        | ~ r1(X12,X14)
        | ~ r1(X12,X13)
        | p2(X13)
        | ~ r1(X12,X23)
        | p1(X23)
        | ~ r1(X10,X12)
        | ~ r1(X10,X11)
        | p2(X11)
        | ~ r1(X10,X24)
        | p1(X24)
        | ~ r1(esk1_0,X10)
        | ~ r1(esk1_0,X9)
        | p2(X9)
        | ~ r1(esk1_0,X25)
        | p1(X25) )
      & ( p1(esk2_6(X10,X12,X14,X16,X18,X19))
        | ~ r1(X18,X19)
        | ~ p1(X18)
        | ~ r1(X16,X18)
        | ~ r1(X16,X17)
        | p2(X17)
        | ~ r1(X16,X21)
        | p1(X21)
        | ~ r1(X14,X16)
        | ~ r1(X14,X15)
        | p2(X15)
        | ~ r1(X14,X22)
        | p1(X22)
        | ~ r1(X12,X14)
        | ~ r1(X12,X13)
        | p2(X13)
        | ~ r1(X12,X23)
        | p1(X23)
        | ~ r1(X10,X12)
        | ~ r1(X10,X11)
        | p2(X11)
        | ~ r1(X10,X24)
        | p1(X24)
        | ~ r1(esk1_0,X10)
        | ~ r1(esk1_0,X9)
        | p2(X9)
        | ~ r1(esk1_0,X25)
        | p1(X25) )
      & ( r1(X37,esk3_7(X27,X29,X31,X33,X35,X36,X37))
        | ~ r1(X36,X37)
        | ~ r1(X36,X39)
        | p1(X39)
        | ~ r1(X35,X36)
        | ~ r1(X33,X35)
        | ~ r1(X33,X34)
        | p2(X34)
        | ~ r1(X33,X40)
        | p1(X40)
        | ~ r1(X31,X33)
        | ~ r1(X31,X32)
        | p2(X32)
        | ~ r1(X31,X41)
        | p1(X41)
        | ~ r1(X29,X31)
        | ~ r1(X29,X30)
        | p2(X30)
        | ~ r1(X29,X42)
        | p1(X42)
        | ~ r1(X27,X29)
        | ~ r1(X27,X28)
        | p2(X28)
        | ~ r1(X27,X43)
        | p1(X43)
        | ~ r1(esk1_0,X27)
        | ~ r1(esk1_0,X26)
        | p2(X26)
        | ~ r1(esk1_0,X44)
        | p1(X44) )
      & ( ~ p1(esk3_7(X27,X29,X31,X33,X35,X36,X37))
        | ~ r1(X36,X37)
        | ~ r1(X36,X39)
        | p1(X39)
        | ~ r1(X35,X36)
        | ~ r1(X33,X35)
        | ~ r1(X33,X34)
        | p2(X34)
        | ~ r1(X33,X40)
        | p1(X40)
        | ~ r1(X31,X33)
        | ~ r1(X31,X32)
        | p2(X32)
        | ~ r1(X31,X41)
        | p1(X41)
        | ~ r1(X29,X31)
        | ~ r1(X29,X30)
        | p2(X30)
        | ~ r1(X29,X42)
        | p1(X42)
        | ~ r1(X27,X29)
        | ~ r1(X27,X28)
        | p2(X28)
        | ~ r1(X27,X43)
        | p1(X43)
        | ~ r1(esk1_0,X27)
        | ~ r1(esk1_0,X26)
        | p2(X26)
        | ~ r1(esk1_0,X44)
        | p1(X44) )
      & ( r1(X58,esk5_6(X46,X48,X50,X52,X54,X58))
        | ~ r1(X54,X58)
        | r1(X55,esk4_6(X46,X48,X50,X52,X54,X55))
        | ~ r1(X54,X55)
        | ~ r1(X52,X54)
        | ~ r1(X52,X53)
        | p2(X53)
        | ~ r1(X52,X60)
        | p1(X60)
        | ~ r1(X50,X52)
        | ~ r1(X50,X51)
        | p2(X51)
        | ~ r1(X50,X61)
        | p1(X61)
        | ~ r1(X48,X50)
        | ~ r1(X48,X49)
        | p2(X49)
        | ~ r1(X48,X62)
        | p1(X62)
        | ~ r1(X46,X48)
        | ~ r1(X46,X47)
        | p2(X47)
        | ~ r1(X46,X63)
        | p1(X63)
        | ~ r1(esk1_0,X46)
        | ~ r1(esk1_0,X45)
        | p2(X45)
        | ~ r1(esk1_0,X64)
        | p1(X64) )
      & ( ~ p1(esk5_6(X46,X48,X50,X52,X54,X58))
        | ~ r1(X54,X58)
        | r1(X55,esk4_6(X46,X48,X50,X52,X54,X55))
        | ~ r1(X54,X55)
        | ~ r1(X52,X54)
        | ~ r1(X52,X53)
        | p2(X53)
        | ~ r1(X52,X60)
        | p1(X60)
        | ~ r1(X50,X52)
        | ~ r1(X50,X51)
        | p2(X51)
        | ~ r1(X50,X61)
        | p1(X61)
        | ~ r1(X48,X50)
        | ~ r1(X48,X49)
        | p2(X49)
        | ~ r1(X48,X62)
        | p1(X62)
        | ~ r1(X46,X48)
        | ~ r1(X46,X47)
        | p2(X47)
        | ~ r1(X46,X63)
        | p1(X63)
        | ~ r1(esk1_0,X46)
        | ~ r1(esk1_0,X45)
        | p2(X45)
        | ~ r1(esk1_0,X64)
        | p1(X64) )
      & ( r1(X58,esk5_6(X46,X48,X50,X52,X54,X58))
        | ~ r1(X54,X58)
        | ~ r1(esk4_6(X46,X48,X50,X52,X54,X55),X57)
        | p1(X57)
        | ~ r1(X54,X55)
        | ~ r1(X52,X54)
        | ~ r1(X52,X53)
        | p2(X53)
        | ~ r1(X52,X60)
        | p1(X60)
        | ~ r1(X50,X52)
        | ~ r1(X50,X51)
        | p2(X51)
        | ~ r1(X50,X61)
        | p1(X61)
        | ~ r1(X48,X50)
        | ~ r1(X48,X49)
        | p2(X49)
        | ~ r1(X48,X62)
        | p1(X62)
        | ~ r1(X46,X48)
        | ~ r1(X46,X47)
        | p2(X47)
        | ~ r1(X46,X63)
        | p1(X63)
        | ~ r1(esk1_0,X46)
        | ~ r1(esk1_0,X45)
        | p2(X45)
        | ~ r1(esk1_0,X64)
        | p1(X64) )
      & ( ~ p1(esk5_6(X46,X48,X50,X52,X54,X58))
        | ~ r1(X54,X58)
        | ~ r1(esk4_6(X46,X48,X50,X52,X54,X55),X57)
        | p1(X57)
        | ~ r1(X54,X55)
        | ~ r1(X52,X54)
        | ~ r1(X52,X53)
        | p2(X53)
        | ~ r1(X52,X60)
        | p1(X60)
        | ~ r1(X50,X52)
        | ~ r1(X50,X51)
        | p2(X51)
        | ~ r1(X50,X61)
        | p1(X61)
        | ~ r1(X48,X50)
        | ~ r1(X48,X49)
        | p2(X49)
        | ~ r1(X48,X62)
        | p1(X62)
        | ~ r1(X46,X48)
        | ~ r1(X46,X47)
        | p2(X47)
        | ~ r1(X46,X63)
        | p1(X63)
        | ~ r1(esk1_0,X46)
        | ~ r1(esk1_0,X45)
        | p2(X45)
        | ~ r1(esk1_0,X64)
        | p1(X64) )
      & ( ~ r1(esk1_0,X65)
        | p2(X65)
        | ~ r1(esk1_0,X66)
        | ~ r1(X66,X67)
        | p2(X67)
        | ~ r1(X66,X68)
        | ~ r1(X68,X69)
        | p2(X69)
        | ~ r1(X68,X70)
        | ~ r1(X70,X71)
        | p2(X71)
        | ~ r1(X70,X72)
        | ~ r1(X72,X73)
        | p2(X73)
        | ~ r1(X72,X74)
        | r1(X74,esk6_5(X66,X68,X70,X72,X74))
        | ~ r1(X72,X76)
        | p1(X76)
        | ~ r1(X70,X77)
        | p1(X77)
        | ~ r1(X68,X78)
        | p1(X78)
        | ~ r1(X66,X79)
        | p1(X79)
        | ~ r1(esk1_0,X80)
        | p1(X80) )
      & r1(esk1_0,esk7_0)
      & ~ p2(esk7_0)
      & r1(esk1_0,esk8_0)
      & r1(esk8_0,esk9_0)
      & ~ p2(esk9_0)
      & r1(esk8_0,esk10_0)
      & r1(esk10_0,esk11_0)
      & ~ p2(esk11_0)
      & r1(esk10_0,esk12_0)
      & r1(esk12_0,esk13_0)
      & ~ p2(esk13_0)
      & r1(esk12_0,esk14_0)
      & r1(esk14_0,esk15_0)
      & ~ p2(esk15_0)
      & r1(esk14_0,esk16_0)
      & r1(esk16_0,esk17_0)
      & ( ~ r1(esk17_0,X92)
        | p1(X92) )
      & r1(esk16_0,esk18_0)
      & ~ p1(esk18_0)
      & r1(esk14_0,esk19_0)
      & ~ p1(esk19_0)
      & r1(esk12_0,esk20_0)
      & ~ p1(esk20_0)
      & r1(esk10_0,esk21_0)
      & ~ p1(esk21_0)
      & r1(esk8_0,esk22_0)
      & ~ p1(esk22_0)
      & r1(esk1_0,esk23_0)
      & ~ p1(esk23_0)
      & ( r1(X107,esk24_5(X100,X102,X104,X106,X107))
        | ~ r1(X106,X107)
        | ~ p1(X106)
        | ~ r1(X104,X106)
        | ~ r1(X104,X105)
        | p2(X105)
        | ~ r1(X104,X109)
        | p1(X109)
        | ~ r1(X102,X104)
        | ~ r1(X102,X103)
        | p2(X103)
        | ~ r1(X102,X110)
        | p1(X110)
        | ~ r1(X100,X102)
        | ~ r1(X100,X101)
        | p2(X101)
        | ~ r1(X100,X111)
        | p1(X111)
        | ~ r1(esk1_0,X100)
        | ~ r1(esk1_0,X99)
        | p2(X99)
        | ~ r1(esk1_0,X112)
        | p1(X112) )
      & ( p1(esk24_5(X100,X102,X104,X106,X107))
        | ~ r1(X106,X107)
        | ~ p1(X106)
        | ~ r1(X104,X106)
        | ~ r1(X104,X105)
        | p2(X105)
        | ~ r1(X104,X109)
        | p1(X109)
        | ~ r1(X102,X104)
        | ~ r1(X102,X103)
        | p2(X103)
        | ~ r1(X102,X110)
        | p1(X110)
        | ~ r1(X100,X102)
        | ~ r1(X100,X101)
        | p2(X101)
        | ~ r1(X100,X111)
        | p1(X111)
        | ~ r1(esk1_0,X100)
        | ~ r1(esk1_0,X99)
        | p2(X99)
        | ~ r1(esk1_0,X112)
        | p1(X112) )
      & ( r1(X122,esk25_6(X114,X116,X118,X120,X121,X122))
        | ~ r1(X121,X122)
        | ~ r1(X121,X124)
        | p1(X124)
        | ~ r1(X120,X121)
        | ~ r1(X118,X120)
        | ~ r1(X118,X119)
        | p2(X119)
        | ~ r1(X118,X125)
        | p1(X125)
        | ~ r1(X116,X118)
        | ~ r1(X116,X117)
        | p2(X117)
        | ~ r1(X116,X126)
        | p1(X126)
        | ~ r1(X114,X116)
        | ~ r1(X114,X115)
        | p2(X115)
        | ~ r1(X114,X127)
        | p1(X127)
        | ~ r1(esk1_0,X114)
        | ~ r1(esk1_0,X113)
        | p2(X113)
        | ~ r1(esk1_0,X128)
        | p1(X128) )
      & ( ~ p1(esk25_6(X114,X116,X118,X120,X121,X122))
        | ~ r1(X121,X122)
        | ~ r1(X121,X124)
        | p1(X124)
        | ~ r1(X120,X121)
        | ~ r1(X118,X120)
        | ~ r1(X118,X119)
        | p2(X119)
        | ~ r1(X118,X125)
        | p1(X125)
        | ~ r1(X116,X118)
        | ~ r1(X116,X117)
        | p2(X117)
        | ~ r1(X116,X126)
        | p1(X126)
        | ~ r1(X114,X116)
        | ~ r1(X114,X115)
        | p2(X115)
        | ~ r1(X114,X127)
        | p1(X127)
        | ~ r1(esk1_0,X114)
        | ~ r1(esk1_0,X113)
        | p2(X113)
        | ~ r1(esk1_0,X128)
        | p1(X128) )
      & ( r1(X140,esk27_5(X130,X132,X134,X136,X140))
        | ~ r1(X136,X140)
        | r1(X137,esk26_5(X130,X132,X134,X136,X137))
        | ~ r1(X136,X137)
        | ~ r1(X134,X136)
        | ~ r1(X134,X135)
        | p2(X135)
        | ~ r1(X134,X142)
        | p1(X142)
        | ~ r1(X132,X134)
        | ~ r1(X132,X133)
        | p2(X133)
        | ~ r1(X132,X143)
        | p1(X143)
        | ~ r1(X130,X132)
        | ~ r1(X130,X131)
        | p2(X131)
        | ~ r1(X130,X144)
        | p1(X144)
        | ~ r1(esk1_0,X130)
        | ~ r1(esk1_0,X129)
        | p2(X129)
        | ~ r1(esk1_0,X145)
        | p1(X145) )
      & ( ~ p1(esk27_5(X130,X132,X134,X136,X140))
        | ~ r1(X136,X140)
        | r1(X137,esk26_5(X130,X132,X134,X136,X137))
        | ~ r1(X136,X137)
        | ~ r1(X134,X136)
        | ~ r1(X134,X135)
        | p2(X135)
        | ~ r1(X134,X142)
        | p1(X142)
        | ~ r1(X132,X134)
        | ~ r1(X132,X133)
        | p2(X133)
        | ~ r1(X132,X143)
        | p1(X143)
        | ~ r1(X130,X132)
        | ~ r1(X130,X131)
        | p2(X131)
        | ~ r1(X130,X144)
        | p1(X144)
        | ~ r1(esk1_0,X130)
        | ~ r1(esk1_0,X129)
        | p2(X129)
        | ~ r1(esk1_0,X145)
        | p1(X145) )
      & ( r1(X140,esk27_5(X130,X132,X134,X136,X140))
        | ~ r1(X136,X140)
        | ~ r1(esk26_5(X130,X132,X134,X136,X137),X139)
        | p1(X139)
        | ~ r1(X136,X137)
        | ~ r1(X134,X136)
        | ~ r1(X134,X135)
        | p2(X135)
        | ~ r1(X134,X142)
        | p1(X142)
        | ~ r1(X132,X134)
        | ~ r1(X132,X133)
        | p2(X133)
        | ~ r1(X132,X143)
        | p1(X143)
        | ~ r1(X130,X132)
        | ~ r1(X130,X131)
        | p2(X131)
        | ~ r1(X130,X144)
        | p1(X144)
        | ~ r1(esk1_0,X130)
        | ~ r1(esk1_0,X129)
        | p2(X129)
        | ~ r1(esk1_0,X145)
        | p1(X145) )
      & ( ~ p1(esk27_5(X130,X132,X134,X136,X140))
        | ~ r1(X136,X140)
        | ~ r1(esk26_5(X130,X132,X134,X136,X137),X139)
        | p1(X139)
        | ~ r1(X136,X137)
        | ~ r1(X134,X136)
        | ~ r1(X134,X135)
        | p2(X135)
        | ~ r1(X134,X142)
        | p1(X142)
        | ~ r1(X132,X134)
        | ~ r1(X132,X133)
        | p2(X133)
        | ~ r1(X132,X143)
        | p1(X143)
        | ~ r1(X130,X132)
        | ~ r1(X130,X131)
        | p2(X131)
        | ~ r1(X130,X144)
        | p1(X144)
        | ~ r1(esk1_0,X130)
        | ~ r1(esk1_0,X129)
        | p2(X129)
        | ~ r1(esk1_0,X145)
        | p1(X145) )
      & ( ~ r1(esk1_0,X146)
        | p2(X146)
        | ~ r1(esk1_0,X147)
        | ~ r1(X147,X148)
        | p2(X148)
        | ~ r1(X147,X149)
        | ~ r1(X149,X150)
        | p2(X150)
        | ~ r1(X149,X151)
        | ~ r1(X151,X152)
        | p2(X152)
        | ~ r1(X151,X153)
        | r1(X153,esk28_4(X147,X149,X151,X153))
        | ~ r1(X151,X155)
        | p1(X155)
        | ~ r1(X149,X156)
        | p1(X156)
        | ~ r1(X147,X157)
        | p1(X157)
        | ~ r1(esk1_0,X158)
        | p1(X158) )
      & r1(esk1_0,esk29_0)
      & ~ p2(esk29_0)
      & r1(esk1_0,esk30_0)
      & r1(esk30_0,esk31_0)
      & ~ p2(esk31_0)
      & r1(esk30_0,esk32_0)
      & r1(esk32_0,esk33_0)
      & ~ p2(esk33_0)
      & r1(esk32_0,esk34_0)
      & r1(esk34_0,esk35_0)
      & ~ p2(esk35_0)
      & r1(esk34_0,esk36_0)
      & r1(esk36_0,esk37_0)
      & ~ p2(esk37_0)
      & r1(esk36_0,esk38_0)
      & r1(esk38_0,esk39_0)
      & ( ~ r1(esk39_0,X170)
        | p1(X170) )
      & r1(esk38_0,esk40_0)
      & ~ p1(esk40_0)
      & r1(esk36_0,esk41_0)
      & ~ p1(esk41_0)
      & r1(esk34_0,esk42_0)
      & ~ p1(esk42_0)
      & r1(esk32_0,esk43_0)
      & ~ p1(esk43_0)
      & r1(esk30_0,esk44_0)
      & ~ p1(esk44_0)
      & r1(esk1_0,esk45_0)
      & ~ p1(esk45_0)
      & ( r1(X183,esk46_4(X178,X180,X182,X183))
        | ~ r1(X182,X183)
        | ~ p1(X182)
        | ~ r1(X180,X182)
        | ~ r1(X180,X181)
        | p2(X181)
        | ~ r1(X180,X185)
        | p1(X185)
        | ~ r1(X178,X180)
        | ~ r1(X178,X179)
        | p2(X179)
        | ~ r1(X178,X186)
        | p1(X186)
        | ~ r1(esk1_0,X178)
        | ~ r1(esk1_0,X177)
        | p2(X177)
        | ~ r1(esk1_0,X187)
        | p1(X187) )
      & ( p1(esk46_4(X178,X180,X182,X183))
        | ~ r1(X182,X183)
        | ~ p1(X182)
        | ~ r1(X180,X182)
        | ~ r1(X180,X181)
        | p2(X181)
        | ~ r1(X180,X185)
        | p1(X185)
        | ~ r1(X178,X180)
        | ~ r1(X178,X179)
        | p2(X179)
        | ~ r1(X178,X186)
        | p1(X186)
        | ~ r1(esk1_0,X178)
        | ~ r1(esk1_0,X177)
        | p2(X177)
        | ~ r1(esk1_0,X187)
        | p1(X187) )
      & ( r1(X195,esk47_5(X189,X191,X193,X194,X195))
        | ~ r1(X194,X195)
        | ~ r1(X194,X197)
        | p1(X197)
        | ~ r1(X193,X194)
        | ~ r1(X191,X193)
        | ~ r1(X191,X192)
        | p2(X192)
        | ~ r1(X191,X198)
        | p1(X198)
        | ~ r1(X189,X191)
        | ~ r1(X189,X190)
        | p2(X190)
        | ~ r1(X189,X199)
        | p1(X199)
        | ~ r1(esk1_0,X189)
        | ~ r1(esk1_0,X188)
        | p2(X188)
        | ~ r1(esk1_0,X200)
        | p1(X200) )
      & ( ~ p1(esk47_5(X189,X191,X193,X194,X195))
        | ~ r1(X194,X195)
        | ~ r1(X194,X197)
        | p1(X197)
        | ~ r1(X193,X194)
        | ~ r1(X191,X193)
        | ~ r1(X191,X192)
        | p2(X192)
        | ~ r1(X191,X198)
        | p1(X198)
        | ~ r1(X189,X191)
        | ~ r1(X189,X190)
        | p2(X190)
        | ~ r1(X189,X199)
        | p1(X199)
        | ~ r1(esk1_0,X189)
        | ~ r1(esk1_0,X188)
        | p2(X188)
        | ~ r1(esk1_0,X200)
        | p1(X200) )
      & ( r1(X210,esk49_4(X202,X204,X206,X210))
        | ~ r1(X206,X210)
        | r1(X207,esk48_4(X202,X204,X206,X207))
        | ~ r1(X206,X207)
        | ~ r1(X204,X206)
        | ~ r1(X204,X205)
        | p2(X205)
        | ~ r1(X204,X212)
        | p1(X212)
        | ~ r1(X202,X204)
        | ~ r1(X202,X203)
        | p2(X203)
        | ~ r1(X202,X213)
        | p1(X213)
        | ~ r1(esk1_0,X202)
        | ~ r1(esk1_0,X201)
        | p2(X201)
        | ~ r1(esk1_0,X214)
        | p1(X214) )
      & ( ~ p1(esk49_4(X202,X204,X206,X210))
        | ~ r1(X206,X210)
        | r1(X207,esk48_4(X202,X204,X206,X207))
        | ~ r1(X206,X207)
        | ~ r1(X204,X206)
        | ~ r1(X204,X205)
        | p2(X205)
        | ~ r1(X204,X212)
        | p1(X212)
        | ~ r1(X202,X204)
        | ~ r1(X202,X203)
        | p2(X203)
        | ~ r1(X202,X213)
        | p1(X213)
        | ~ r1(esk1_0,X202)
        | ~ r1(esk1_0,X201)
        | p2(X201)
        | ~ r1(esk1_0,X214)
        | p1(X214) )
      & ( r1(X210,esk49_4(X202,X204,X206,X210))
        | ~ r1(X206,X210)
        | ~ r1(esk48_4(X202,X204,X206,X207),X209)
        | p1(X209)
        | ~ r1(X206,X207)
        | ~ r1(X204,X206)
        | ~ r1(X204,X205)
        | p2(X205)
        | ~ r1(X204,X212)
        | p1(X212)
        | ~ r1(X202,X204)
        | ~ r1(X202,X203)
        | p2(X203)
        | ~ r1(X202,X213)
        | p1(X213)
        | ~ r1(esk1_0,X202)
        | ~ r1(esk1_0,X201)
        | p2(X201)
        | ~ r1(esk1_0,X214)
        | p1(X214) )
      & ( ~ p1(esk49_4(X202,X204,X206,X210))
        | ~ r1(X206,X210)
        | ~ r1(esk48_4(X202,X204,X206,X207),X209)
        | p1(X209)
        | ~ r1(X206,X207)
        | ~ r1(X204,X206)
        | ~ r1(X204,X205)
        | p2(X205)
        | ~ r1(X204,X212)
        | p1(X212)
        | ~ r1(X202,X204)
        | ~ r1(X202,X203)
        | p2(X203)
        | ~ r1(X202,X213)
        | p1(X213)
        | ~ r1(esk1_0,X202)
        | ~ r1(esk1_0,X201)
        | p2(X201)
        | ~ r1(esk1_0,X214)
        | p1(X214) )
      & ( ~ r1(esk1_0,X215)
        | p2(X215)
        | ~ r1(esk1_0,X216)
        | ~ r1(X216,X217)
        | p2(X217)
        | ~ r1(X216,X218)
        | ~ r1(X218,X219)
        | p2(X219)
        | ~ r1(X218,X220)
        | r1(X220,esk50_3(X216,X218,X220))
        | ~ r1(X218,X222)
        | p1(X222)
        | ~ r1(X216,X223)
        | p1(X223)
        | ~ r1(esk1_0,X224)
        | p1(X224) )
      & r1(esk1_0,esk51_0)
      & ~ p2(esk51_0)
      & r1(esk1_0,esk52_0)
      & r1(esk52_0,esk53_0)
      & ~ p2(esk53_0)
      & r1(esk52_0,esk54_0)
      & r1(esk54_0,esk55_0)
      & ~ p2(esk55_0)
      & r1(esk54_0,esk56_0)
      & r1(esk56_0,esk57_0)
      & ~ p2(esk57_0)
      & r1(esk56_0,esk58_0)
      & r1(esk58_0,esk59_0)
      & ~ p2(esk59_0)
      & r1(esk58_0,esk60_0)
      & r1(esk60_0,esk61_0)
      & ( ~ r1(esk61_0,X236)
        | p1(X236) )
      & r1(esk60_0,esk62_0)
      & ~ p1(esk62_0)
      & r1(esk58_0,esk63_0)
      & ~ p1(esk63_0)
      & r1(esk56_0,esk64_0)
      & ~ p1(esk64_0)
      & r1(esk54_0,esk65_0)
      & ~ p1(esk65_0)
      & r1(esk52_0,esk66_0)
      & ~ p1(esk66_0)
      & r1(esk1_0,esk67_0)
      & ~ p1(esk67_0)
      & ( r1(X247,esk68_3(X244,X246,X247))
        | ~ r1(X246,X247)
        | ~ p1(X246)
        | ~ r1(X244,X246)
        | ~ r1(X244,X245)
        | p2(X245)
        | ~ r1(X244,X249)
        | p1(X249)
        | ~ r1(esk1_0,X244)
        | ~ r1(esk1_0,X243)
        | p2(X243)
        | ~ r1(esk1_0,X250)
        | p1(X250) )
      & ( p1(esk68_3(X244,X246,X247))
        | ~ r1(X246,X247)
        | ~ p1(X246)
        | ~ r1(X244,X246)
        | ~ r1(X244,X245)
        | p2(X245)
        | ~ r1(X244,X249)
        | p1(X249)
        | ~ r1(esk1_0,X244)
        | ~ r1(esk1_0,X243)
        | p2(X243)
        | ~ r1(esk1_0,X250)
        | p1(X250) )
      & ( r1(X256,esk69_4(X252,X254,X255,X256))
        | ~ r1(X255,X256)
        | ~ r1(X255,X258)
        | p1(X258)
        | ~ r1(X254,X255)
        | ~ r1(X252,X254)
        | ~ r1(X252,X253)
        | p2(X253)
        | ~ r1(X252,X259)
        | p1(X259)
        | ~ r1(esk1_0,X252)
        | ~ r1(esk1_0,X251)
        | p2(X251)
        | ~ r1(esk1_0,X260)
        | p1(X260) )
      & ( ~ p1(esk69_4(X252,X254,X255,X256))
        | ~ r1(X255,X256)
        | ~ r1(X255,X258)
        | p1(X258)
        | ~ r1(X254,X255)
        | ~ r1(X252,X254)
        | ~ r1(X252,X253)
        | p2(X253)
        | ~ r1(X252,X259)
        | p1(X259)
        | ~ r1(esk1_0,X252)
        | ~ r1(esk1_0,X251)
        | p2(X251)
        | ~ r1(esk1_0,X260)
        | p1(X260) )
      & ( r1(X268,esk71_3(X262,X264,X268))
        | ~ r1(X264,X268)
        | r1(X265,esk70_3(X262,X264,X265))
        | ~ r1(X264,X265)
        | ~ r1(X262,X264)
        | ~ r1(X262,X263)
        | p2(X263)
        | ~ r1(X262,X270)
        | p1(X270)
        | ~ r1(esk1_0,X262)
        | ~ r1(esk1_0,X261)
        | p2(X261)
        | ~ r1(esk1_0,X271)
        | p1(X271) )
      & ( ~ p1(esk71_3(X262,X264,X268))
        | ~ r1(X264,X268)
        | r1(X265,esk70_3(X262,X264,X265))
        | ~ r1(X264,X265)
        | ~ r1(X262,X264)
        | ~ r1(X262,X263)
        | p2(X263)
        | ~ r1(X262,X270)
        | p1(X270)
        | ~ r1(esk1_0,X262)
        | ~ r1(esk1_0,X261)
        | p2(X261)
        | ~ r1(esk1_0,X271)
        | p1(X271) )
      & ( r1(X268,esk71_3(X262,X264,X268))
        | ~ r1(X264,X268)
        | ~ r1(esk70_3(X262,X264,X265),X267)
        | p1(X267)
        | ~ r1(X264,X265)
        | ~ r1(X262,X264)
        | ~ r1(X262,X263)
        | p2(X263)
        | ~ r1(X262,X270)
        | p1(X270)
        | ~ r1(esk1_0,X262)
        | ~ r1(esk1_0,X261)
        | p2(X261)
        | ~ r1(esk1_0,X271)
        | p1(X271) )
      & ( ~ p1(esk71_3(X262,X264,X268))
        | ~ r1(X264,X268)
        | ~ r1(esk70_3(X262,X264,X265),X267)
        | p1(X267)
        | ~ r1(X264,X265)
        | ~ r1(X262,X264)
        | ~ r1(X262,X263)
        | p2(X263)
        | ~ r1(X262,X270)
        | p1(X270)
        | ~ r1(esk1_0,X262)
        | ~ r1(esk1_0,X261)
        | p2(X261)
        | ~ r1(esk1_0,X271)
        | p1(X271) )
      & ( ~ r1(esk1_0,X272)
        | p2(X272)
        | ~ r1(esk1_0,X273)
        | ~ r1(X273,X274)
        | p2(X274)
        | ~ r1(X273,X275)
        | r1(X275,esk72_2(X273,X275))
        | ~ r1(X273,X277)
        | p1(X277)
        | ~ r1(esk1_0,X278)
        | p1(X278) )
      & r1(esk1_0,esk73_0)
      & ~ p2(esk73_0)
      & r1(esk1_0,esk74_0)
      & r1(esk74_0,esk75_0)
      & ~ p2(esk75_0)
      & r1(esk74_0,esk76_0)
      & r1(esk76_0,esk77_0)
      & ~ p2(esk77_0)
      & r1(esk76_0,esk78_0)
      & r1(esk78_0,esk79_0)
      & ~ p2(esk79_0)
      & r1(esk78_0,esk80_0)
      & r1(esk80_0,esk81_0)
      & ~ p2(esk81_0)
      & r1(esk80_0,esk82_0)
      & r1(esk82_0,esk83_0)
      & ( ~ r1(esk83_0,X290)
        | p1(X290) )
      & r1(esk82_0,esk84_0)
      & ~ p1(esk84_0)
      & r1(esk80_0,esk85_0)
      & ~ p1(esk85_0)
      & r1(esk78_0,esk86_0)
      & ~ p1(esk86_0)
      & r1(esk76_0,esk87_0)
      & ~ p1(esk87_0)
      & r1(esk74_0,esk88_0)
      & ~ p1(esk88_0)
      & r1(esk1_0,esk89_0)
      & ~ p1(esk89_0)
      & ( r1(X299,esk90_2(X298,X299))
        | ~ r1(X298,X299)
        | ~ p1(X298)
        | ~ r1(esk1_0,X298)
        | ~ r1(esk1_0,X297)
        | p2(X297)
        | ~ r1(esk1_0,X301)
        | p1(X301) )
      & ( p1(esk90_2(X298,X299))
        | ~ r1(X298,X299)
        | ~ p1(X298)
        | ~ r1(esk1_0,X298)
        | ~ r1(esk1_0,X297)
        | p2(X297)
        | ~ r1(esk1_0,X301)
        | p1(X301) )
      & ( r1(X305,esk91_3(X303,X304,X305))
        | ~ r1(X304,X305)
        | ~ r1(X304,X307)
        | p1(X307)
        | ~ r1(X303,X304)
        | ~ r1(esk1_0,X303)
        | ~ r1(esk1_0,X302)
        | p2(X302)
        | ~ r1(esk1_0,X308)
        | p1(X308) )
      & ( ~ p1(esk91_3(X303,X304,X305))
        | ~ r1(X304,X305)
        | ~ r1(X304,X307)
        | p1(X307)
        | ~ r1(X303,X304)
        | ~ r1(esk1_0,X303)
        | ~ r1(esk1_0,X302)
        | p2(X302)
        | ~ r1(esk1_0,X308)
        | p1(X308) )
      & ( r1(X314,esk93_2(X310,X314))
        | ~ r1(X310,X314)
        | r1(X311,esk92_2(X310,X311))
        | ~ r1(X310,X311)
        | ~ r1(esk1_0,X310)
        | ~ r1(esk1_0,X309)
        | p2(X309)
        | ~ r1(esk1_0,X316)
        | p1(X316) )
      & ( ~ p1(esk93_2(X310,X314))
        | ~ r1(X310,X314)
        | r1(X311,esk92_2(X310,X311))
        | ~ r1(X310,X311)
        | ~ r1(esk1_0,X310)
        | ~ r1(esk1_0,X309)
        | p2(X309)
        | ~ r1(esk1_0,X316)
        | p1(X316) )
      & ( r1(X314,esk93_2(X310,X314))
        | ~ r1(X310,X314)
        | ~ r1(esk92_2(X310,X311),X313)
        | p1(X313)
        | ~ r1(X310,X311)
        | ~ r1(esk1_0,X310)
        | ~ r1(esk1_0,X309)
        | p2(X309)
        | ~ r1(esk1_0,X316)
        | p1(X316) )
      & ( ~ p1(esk93_2(X310,X314))
        | ~ r1(X310,X314)
        | ~ r1(esk92_2(X310,X311),X313)
        | p1(X313)
        | ~ r1(X310,X311)
        | ~ r1(esk1_0,X310)
        | ~ r1(esk1_0,X309)
        | p2(X309)
        | ~ r1(esk1_0,X316)
        | p1(X316) )
      & ( ~ r1(esk1_0,X317)
        | p2(X317)
        | ~ r1(esk1_0,X318)
        | r1(X318,esk94_1(X318))
        | ~ r1(esk1_0,X320)
        | p1(X320) )
      & r1(esk1_0,esk95_0)
      & ~ p2(esk95_0)
      & r1(esk1_0,esk96_0)
      & r1(esk96_0,esk97_0)
      & ~ p2(esk97_0)
      & r1(esk96_0,esk98_0)
      & r1(esk98_0,esk99_0)
      & ~ p2(esk99_0)
      & r1(esk98_0,esk100_0)
      & r1(esk100_0,esk101_0)
      & ~ p2(esk101_0)
      & r1(esk100_0,esk102_0)
      & r1(esk102_0,esk103_0)
      & ~ p2(esk103_0)
      & r1(esk102_0,esk104_0)
      & r1(esk104_0,esk105_0)
      & ( ~ r1(esk105_0,X332)
        | p1(X332) )
      & r1(esk104_0,esk106_0)
      & ~ p1(esk106_0)
      & r1(esk102_0,esk107_0)
      & ~ p1(esk107_0)
      & r1(esk100_0,esk108_0)
      & ~ p1(esk108_0)
      & r1(esk98_0,esk109_0)
      & ~ p1(esk109_0)
      & r1(esk96_0,esk110_0)
      & ~ p1(esk110_0)
      & r1(esk1_0,esk111_0)
      & ~ p1(esk111_0) ),
    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_3])])])])]) ).

cnf(c_0_6,plain,
    ( r1(X1,X3)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    r1(esk96_0,esk98_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    r1(esk98_0,esk100_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ( r1(X1,esk98_0)
    | ~ r1(X1,esk96_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    r1(esk1_0,esk96_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    r1(esk100_0,esk102_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    ( r1(X1,esk100_0)
    | ~ r1(X1,esk98_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    r1(esk1_0,esk98_0),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    r1(esk102_0,esk103_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,negated_conjecture,
    ( r1(X1,esk102_0)
    | ~ r1(X1,esk100_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    r1(esk1_0,esk100_0),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ( r1(X1,esk91_3(X2,X3,X1))
    | p1(X4)
    | p2(X5)
    | p1(X6)
    | ~ r1(X3,X1)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X5)
    | ~ r1(esk1_0,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,negated_conjecture,
    r1(esk1_0,esk111_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19,negated_conjecture,
    ~ p1(esk111_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_20,negated_conjecture,
    ( r1(X1,esk103_0)
    | ~ r1(X1,esk102_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    r1(esk1_0,esk102_0),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    ( p1(X1)
    | p2(X2)
    | r1(X3,esk91_3(X4,X5,X3))
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X4)
    | ~ r1(X5,X1)
    | ~ r1(X5,X3)
    | ~ r1(X4,X5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    r1(esk1_0,esk103_0),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    ~ p2(esk103_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_25,plain,
    ! [X4] : r1(X4,X4),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

cnf(c_0_26,negated_conjecture,
    r1(esk104_0,esk105_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_27,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk91_3(X3,X4,X2))
    | ~ r1(esk1_0,X3)
    | ~ r1(X4,X1)
    | ~ r1(X4,X2)
    | ~ r1(X3,X4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_28,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ( r1(X1,esk105_0)
    | ~ r1(X1,esk104_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    r1(esk102_0,esk104_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_31,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk91_3(esk1_0,X3,X2))
    | ~ r1(esk1_0,X3)
    | ~ r1(X3,X1)
    | ~ r1(X3,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,negated_conjecture,
    r1(esk102_0,esk105_0),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk91_3(esk1_0,esk1_0,X2))
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ( r1(X1,esk105_0)
    | ~ r1(X1,esk102_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    ( r1(X1,esk91_3(esk1_0,esk1_0,X1))
    | ~ r1(esk1_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_18]),c_0_19]) ).

cnf(c_0_36,negated_conjecture,
    r1(esk1_0,esk105_0),
    inference(spm,[status(thm)],[c_0_34,c_0_21]) ).

cnf(c_0_37,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk105_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_38,negated_conjecture,
    r1(esk105_0,esk91_3(esk1_0,esk1_0,esk105_0)),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    ( p1(X4)
    | p2(X5)
    | p1(X6)
    | ~ p1(esk91_3(X1,X2,X3))
    | ~ r1(X2,X3)
    | ~ r1(X2,X4)
    | ~ r1(X1,X2)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X5)
    | ~ r1(esk1_0,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_40,negated_conjecture,
    p1(esk91_3(esk1_0,esk1_0,esk105_0)),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    ( p1(X1)
    | p1(X2)
    | p2(X3)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X3)
    | ~ r1(esk1_0,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_28]),c_0_36])]) ).

cnf(c_0_42,negated_conjecture,
    ( p1(X1)
    | p2(X2)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_18]),c_0_19]) ).

cnf(c_0_43,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk1_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_23]),c_0_24]) ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_18]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL672+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 20:43:51 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.55  start to proof: theBenchmark
% 2.69/2.87  % Version  : CSE_E---1.5
% 2.69/2.87  % Problem  : theBenchmark.p
% 2.69/2.87  % Proof found
% 2.69/2.87  % SZS status Theorem for theBenchmark.p
% 2.69/2.87  % SZS output start Proof
% See solution above
% 2.69/2.88  % Total time : 2.308000 s
% 2.69/2.88  % SZS output end Proof
% 2.69/2.88  % Total time : 2.314000 s
%------------------------------------------------------------------------------