TSTP Solution File: LCL636+1.005 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LCL636+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 06:54:50 EDT 2023

% Result   : Theorem 3.03s 3.09s
% Output   : CNFRefutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  256 (  11 unt;  47 typ;   0 def)
%            Number of atoms       : 2824 (   0 equ)
%            Maximal formula atoms :  719 (  13 avg)
%            Number of connectives : 4504 (1889   ~;1846   |; 765   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   99 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   37 (  36   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  11 con; 0-1 aty)
%            Number of variables   :  456 (   0 sgn; 344   !;   2   ?;   0   :)

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

tff(decl_23,type,
    p3: $i > $o ).

tff(decl_24,type,
    p6: $i > $o ).

tff(decl_25,type,
    p106: $i > $o ).

tff(decl_26,type,
    p105: $i > $o ).

tff(decl_27,type,
    p104: $i > $o ).

tff(decl_28,type,
    p5: $i > $o ).

tff(decl_29,type,
    p103: $i > $o ).

tff(decl_30,type,
    p4: $i > $o ).

tff(decl_31,type,
    p102: $i > $o ).

tff(decl_32,type,
    p101: $i > $o ).

tff(decl_33,type,
    p2: $i > $o ).

tff(decl_34,type,
    p100: $i > $o ).

tff(decl_35,type,
    p1: $i > $o ).

tff(decl_36,type,
    epred1_1: $i > $o ).

tff(decl_37,type,
    epred2_1: $i > $o ).

tff(decl_38,type,
    esk1_0: $i ).

tff(decl_39,type,
    esk2_0: $i ).

tff(decl_40,type,
    esk3_0: $i ).

tff(decl_41,type,
    esk4_0: $i ).

tff(decl_42,type,
    esk5_0: $i ).

tff(decl_43,type,
    esk6_0: $i ).

tff(decl_44,type,
    esk7_0: $i ).

tff(decl_45,type,
    esk8_0: $i ).

tff(decl_46,type,
    esk9_0: $i ).

tff(decl_47,type,
    esk10_0: $i ).

tff(decl_48,type,
    esk11_0: $i ).

tff(decl_49,type,
    esk12_1: $i > $i ).

tff(decl_50,type,
    esk13_1: $i > $i ).

tff(decl_51,type,
    esk14_1: $i > $i ).

tff(decl_52,type,
    esk15_1: $i > $i ).

tff(decl_53,type,
    esk16_1: $i > $i ).

tff(decl_54,type,
    esk17_1: $i > $i ).

tff(decl_55,type,
    esk18_1: $i > $i ).

tff(decl_56,type,
    esk19_1: $i > $i ).

tff(decl_57,type,
    esk20_1: $i > $i ).

tff(decl_58,type,
    esk21_1: $i > $i ).

tff(decl_59,type,
    esk22_1: $i > $i ).

tff(decl_60,type,
    esk23_1: $i > $i ).

tff(decl_61,type,
    esk24_1: $i > $i ).

tff(decl_62,type,
    esk25_1: $i > $i ).

tff(decl_63,type,
    esk26_1: $i > $i ).

tff(decl_64,type,
    esk27_1: $i > $i ).

tff(decl_65,type,
    esk28_1: $i > $i ).

tff(decl_66,type,
    esk29_1: $i > $i ).

tff(decl_67,type,
    esk30_1: $i > $i ).

tff(decl_68,type,
    esk31_1: $i > $i ).

fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | p3(X2) ) ) ) ) )
          | ~ ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ( ( ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ p6(X1)
                                                  & ~ p106(X1)
                                                  & p105(X1) ) )
                                        & ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( p6(X1)
                                                  & ~ p106(X1)
                                                  & p105(X1) ) ) )
                                      | ~ ( ~ p105(X2)
                                          & p104(X2) ) )
                                    & ( ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ p5(X1)
                                                  & ~ p105(X1)
                                                  & p104(X1) ) )
                                        & ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( p5(X1)
                                                  & ~ p105(X1)
                                                  & p104(X1) ) ) )
                                      | ~ ( ~ p104(X2)
                                          & p103(X2) ) )
                                    & ( ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ p4(X1)
                                                  & ~ p104(X1)
                                                  & p103(X1) ) )
                                        & ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( p4(X1)
                                                  & ~ p104(X1)
                                                  & p103(X1) ) ) )
                                      | ~ ( ~ p103(X2)
                                          & p102(X2) ) )
                                    & ( ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ p3(X1)
                                                  & ~ p103(X1)
                                                  & p102(X1) ) )
                                        & ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( p3(X1)
                                                  & ~ p103(X1)
                                                  & p102(X1) ) ) )
                                      | ~ ( ~ p102(X2)
                                          & p101(X2) ) )
                                    & ( ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ p2(X1)
                                                  & ~ p102(X1)
                                                  & p101(X1) ) )
                                        & ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( p2(X1)
                                                  & ~ p102(X1)
                                                  & p101(X1) ) ) )
                                      | ~ ( ~ p101(X2)
                                          & p100(X2) ) )
                                    & ( ( ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ p6(X1)
                                              | ~ p105(X1) )
                                          | p6(X2) )
                                        & ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p6(X1)
                                              | ~ p105(X1) )
                                          | ~ p6(X2) ) )
                                      | ~ p105(X2) )
                                    & ( ( ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ p5(X1)
                                              | ~ p104(X1) )
                                          | p5(X2) )
                                        & ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p5(X1)
                                              | ~ p104(X1) )
                                          | ~ p5(X2) ) )
                                      | ~ p104(X2) )
                                    & ( ( ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ p4(X1)
                                              | ~ p103(X1) )
                                          | p4(X2) )
                                        & ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p4(X1)
                                              | ~ p103(X1) )
                                          | ~ p4(X2) ) )
                                      | ~ p103(X2) )
                                    & ( ( ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ p3(X1)
                                              | ~ p102(X1) )
                                          | p3(X2) )
                                        & ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p3(X1)
                                              | ~ p102(X1) )
                                          | ~ p3(X2) ) )
                                      | ~ p102(X2) )
                                    & ( ( ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ p2(X1)
                                              | ~ p101(X1) )
                                          | p2(X2) )
                                        & ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p2(X1)
                                              | ~ p101(X1) )
                                          | ~ p2(X2) ) )
                                      | ~ p101(X2) )
                                    & ( ( ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ p1(X1)
                                              | ~ p100(X1) )
                                          | p1(X2) )
                                        & ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p1(X1)
                                              | ~ p100(X1) )
                                          | ~ p1(X2) ) )
                                      | ~ p100(X2) )
                                    & ( p105(X2)
                                      | ~ p106(X2) )
                                    & ( p104(X2)
                                      | ~ p105(X2) )
                                    & ( p103(X2)
                                      | ~ p104(X2) )
                                    & ( p102(X2)
                                      | ~ p103(X2) )
                                    & ( p101(X2)
                                      | ~ p102(X2) )
                                    & ( p100(X2)
                                      | ~ p101(X2) ) ) ) ) ) ) )
              & ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ( ( ( ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( ~ p6(X2)
                                              & ~ p106(X2)
                                              & p105(X2) ) )
                                    & ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( p6(X2)
                                              & ~ p106(X2)
                                              & p105(X2) ) ) )
                                  | ~ ( ~ p105(X1)
                                      & p104(X1) ) )
                                & ( ( ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( ~ p5(X2)
                                              & ~ p105(X2)
                                              & p104(X2) ) )
                                    & ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( p5(X2)
                                              & ~ p105(X2)
                                              & p104(X2) ) ) )
                                  | ~ ( ~ p104(X1)
                                      & p103(X1) ) )
                                & ( ( ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( ~ p4(X2)
                                              & ~ p104(X2)
                                              & p103(X2) ) )
                                    & ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( p4(X2)
                                              & ~ p104(X2)
                                              & p103(X2) ) ) )
                                  | ~ ( ~ p103(X1)
                                      & p102(X1) ) )
                                & ( ( ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( ~ p3(X2)
                                              & ~ p103(X2)
                                              & p102(X2) ) )
                                    & ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( p3(X2)
                                              & ~ p103(X2)
                                              & p102(X2) ) ) )
                                  | ~ ( ~ p102(X1)
                                      & p101(X1) ) )
                                & ( ( ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( ~ p2(X2)
                                              & ~ p102(X2)
                                              & p101(X2) ) )
                                    & ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( p2(X2)
                                              & ~ p102(X2)
                                              & p101(X2) ) ) )
                                  | ~ ( ~ p101(X1)
                                      & p100(X1) ) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p6(X2)
                                          | ~ p105(X2) )
                                      | p6(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p6(X2)
                                          | ~ p105(X2) )
                                      | ~ p6(X1) ) )
                                  | ~ p105(X1) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p5(X2)
                                          | ~ p104(X2) )
                                      | p5(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p5(X2)
                                          | ~ p104(X2) )
                                      | ~ p5(X1) ) )
                                  | ~ p104(X1) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p4(X2)
                                          | ~ p103(X2) )
                                      | p4(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p4(X2)
                                          | ~ p103(X2) )
                                      | ~ p4(X1) ) )
                                  | ~ p103(X1) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p3(X2)
                                          | ~ p102(X2) )
                                      | p3(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p3(X2)
                                          | ~ p102(X2) )
                                      | ~ p3(X1) ) )
                                  | ~ p102(X1) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p2(X2)
                                          | ~ p101(X2) )
                                      | p2(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p2(X2)
                                          | ~ p101(X2) )
                                      | ~ p2(X1) ) )
                                  | ~ p101(X1) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p1(X2)
                                          | ~ p100(X2) )
                                      | p1(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p1(X2)
                                          | ~ p100(X2) )
                                      | ~ p1(X1) ) )
                                  | ~ p100(X1) )
                                & ( p105(X1)
                                  | ~ p106(X1) )
                                & ( p104(X1)
                                  | ~ p105(X1) )
                                & ( p103(X1)
                                  | ~ p104(X1) )
                                & ( p102(X1)
                                  | ~ p103(X1) )
                                & ( p101(X1)
                                  | ~ p102(X1) )
                                & ( p100(X1)
                                  | ~ p101(X1) ) ) ) ) ) )
              & ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ( ( ( ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ ( ~ p6(X1)
                                          & ~ p106(X1)
                                          & p105(X1) ) )
                                & ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ ( p6(X1)
                                          & ~ p106(X1)
                                          & p105(X1) ) ) )
                              | ~ ( ~ p105(X2)
                                  & p104(X2) ) )
                            & ( ( ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ ( ~ p5(X1)
                                          & ~ p105(X1)
                                          & p104(X1) ) )
                                & ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ ( p5(X1)
                                          & ~ p105(X1)
                                          & p104(X1) ) ) )
                              | ~ ( ~ p104(X2)
                                  & p103(X2) ) )
                            & ( ( ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ ( ~ p4(X1)
                                          & ~ p104(X1)
                                          & p103(X1) ) )
                                & ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ ( p4(X1)
                                          & ~ p104(X1)
                                          & p103(X1) ) ) )
                              | ~ ( ~ p103(X2)
                                  & p102(X2) ) )
                            & ( ( ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ ( ~ p3(X1)
                                          & ~ p103(X1)
                                          & p102(X1) ) )
                                & ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ ( p3(X1)
                                          & ~ p103(X1)
                                          & p102(X1) ) ) )
                              | ~ ( ~ p102(X2)
                                  & p101(X2) ) )
                            & ( ( ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ ( ~ p2(X1)
                                          & ~ p102(X1)
                                          & p101(X1) ) )
                                & ~ ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ ( p2(X1)
                                          & ~ p102(X1)
                                          & p101(X1) ) ) )
                              | ~ ( ~ p101(X2)
                                  & p100(X2) ) )
                            & ( ( ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ p6(X1)
                                      | ~ p105(X1) )
                                  | p6(X2) )
                                & ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p6(X1)
                                      | ~ p105(X1) )
                                  | ~ p6(X2) ) )
                              | ~ p105(X2) )
                            & ( ( ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ p5(X1)
                                      | ~ p104(X1) )
                                  | p5(X2) )
                                & ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p5(X1)
                                      | ~ p104(X1) )
                                  | ~ p5(X2) ) )
                              | ~ p104(X2) )
                            & ( ( ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ p4(X1)
                                      | ~ p103(X1) )
                                  | p4(X2) )
                                & ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p4(X1)
                                      | ~ p103(X1) )
                                  | ~ p4(X2) ) )
                              | ~ p103(X2) )
                            & ( ( ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ p3(X1)
                                      | ~ p102(X1) )
                                  | p3(X2) )
                                & ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p3(X1)
                                      | ~ p102(X1) )
                                  | ~ p3(X2) ) )
                              | ~ p102(X2) )
                            & ( ( ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ p2(X1)
                                      | ~ p101(X1) )
                                  | p2(X2) )
                                & ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p2(X1)
                                      | ~ p101(X1) )
                                  | ~ p2(X2) ) )
                              | ~ p101(X2) )
                            & ( ( ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ~ p1(X1)
                                      | ~ p100(X1) )
                                  | p1(X2) )
                                & ( ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p1(X1)
                                      | ~ p100(X1) )
                                  | ~ p1(X2) ) )
                              | ~ p100(X2) )
                            & ( p105(X2)
                              | ~ p106(X2) )
                            & ( p104(X2)
                              | ~ p105(X2) )
                            & ( p103(X2)
                              | ~ p104(X2) )
                            & ( p102(X2)
                              | ~ p103(X2) )
                            & ( p101(X2)
                              | ~ p102(X2) )
                            & ( p100(X2)
                              | ~ p101(X2) ) ) ) ) )
              & ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ( ( ( ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( ~ p6(X2)
                                      & ~ p106(X2)
                                      & p105(X2) ) )
                            & ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( p6(X2)
                                      & ~ p106(X2)
                                      & p105(X2) ) ) )
                          | ~ ( ~ p105(X1)
                              & p104(X1) ) )
                        & ( ( ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( ~ p5(X2)
                                      & ~ p105(X2)
                                      & p104(X2) ) )
                            & ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( p5(X2)
                                      & ~ p105(X2)
                                      & p104(X2) ) ) )
                          | ~ ( ~ p104(X1)
                              & p103(X1) ) )
                        & ( ( ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( ~ p4(X2)
                                      & ~ p104(X2)
                                      & p103(X2) ) )
                            & ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( p4(X2)
                                      & ~ p104(X2)
                                      & p103(X2) ) ) )
                          | ~ ( ~ p103(X1)
                              & p102(X1) ) )
                        & ( ( ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( ~ p3(X2)
                                      & ~ p103(X2)
                                      & p102(X2) ) )
                            & ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( p3(X2)
                                      & ~ p103(X2)
                                      & p102(X2) ) ) )
                          | ~ ( ~ p102(X1)
                              & p101(X1) ) )
                        & ( ( ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( ~ p2(X2)
                                      & ~ p102(X2)
                                      & p101(X2) ) )
                            & ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( p2(X2)
                                      & ~ p102(X2)
                                      & p101(X2) ) ) )
                          | ~ ( ~ p101(X1)
                              & p100(X1) ) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p6(X2)
                                  | ~ p105(X2) )
                              | p6(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p6(X2)
                                  | ~ p105(X2) )
                              | ~ p6(X1) ) )
                          | ~ p105(X1) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p5(X2)
                                  | ~ p104(X2) )
                              | p5(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p5(X2)
                                  | ~ p104(X2) )
                              | ~ p5(X1) ) )
                          | ~ p104(X1) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p4(X2)
                                  | ~ p103(X2) )
                              | p4(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p4(X2)
                                  | ~ p103(X2) )
                              | ~ p4(X1) ) )
                          | ~ p103(X1) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p3(X2)
                                  | ~ p102(X2) )
                              | p3(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p3(X2)
                                  | ~ p102(X2) )
                              | ~ p3(X1) ) )
                          | ~ p102(X1) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p2(X2)
                                  | ~ p101(X2) )
                              | p2(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p2(X2)
                                  | ~ p101(X2) )
                              | ~ p2(X1) ) )
                          | ~ p101(X1) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p1(X2)
                                  | ~ p100(X2) )
                              | p1(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2)
                                  | ~ p100(X2) )
                              | ~ p1(X1) ) )
                          | ~ p100(X1) )
                        & ( p105(X1)
                          | ~ p106(X1) )
                        & ( p104(X1)
                          | ~ p105(X1) )
                        & ( p103(X1)
                          | ~ p104(X1) )
                        & ( p102(X1)
                          | ~ p103(X1) )
                        & ( p101(X1)
                          | ~ p102(X1) )
                        & ( p100(X1)
                          | ~ p101(X1) ) ) ) )
              & ! [X2] :
                  ( ~ r1(X1,X2)
                  | ( ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p6(X1)
                                  & ~ p106(X1)
                                  & p105(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p6(X1)
                                  & ~ p106(X1)
                                  & p105(X1) ) ) )
                      | ~ ( ~ p105(X2)
                          & p104(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p5(X1)
                                  & ~ p105(X1)
                                  & p104(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p5(X1)
                                  & ~ p105(X1)
                                  & p104(X1) ) ) )
                      | ~ ( ~ p104(X2)
                          & p103(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p4(X1)
                                  & ~ p104(X1)
                                  & p103(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p4(X1)
                                  & ~ p104(X1)
                                  & p103(X1) ) ) )
                      | ~ ( ~ p103(X2)
                          & p102(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p3(X1)
                                  & ~ p103(X1)
                                  & p102(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p3(X1)
                                  & ~ p103(X1)
                                  & p102(X1) ) ) )
                      | ~ ( ~ p102(X2)
                          & p101(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p2(X1)
                                  & ~ p102(X1)
                                  & p101(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p2(X1)
                                  & ~ p102(X1)
                                  & p101(X1) ) ) )
                      | ~ ( ~ p101(X2)
                          & p100(X2) ) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p6(X1)
                              | ~ p105(X1) )
                          | p6(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p6(X1)
                              | ~ p105(X1) )
                          | ~ p6(X2) ) )
                      | ~ p105(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p5(X1)
                              | ~ p104(X1) )
                          | p5(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p5(X1)
                              | ~ p104(X1) )
                          | ~ p5(X2) ) )
                      | ~ p104(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p4(X1)
                              | ~ p103(X1) )
                          | p4(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p4(X1)
                              | ~ p103(X1) )
                          | ~ p4(X2) ) )
                      | ~ p103(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p3(X1)
                              | ~ p102(X1) )
                          | p3(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p3(X1)
                              | ~ p102(X1) )
                          | ~ p3(X2) ) )
                      | ~ p102(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p2(X1)
                              | ~ p101(X1) )
                          | p2(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1)
                              | ~ p101(X1) )
                          | ~ p2(X2) ) )
                      | ~ p101(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p1(X1)
                              | ~ p100(X1) )
                          | p1(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1)
                              | ~ p100(X1) )
                          | ~ p1(X2) ) )
                      | ~ p100(X2) )
                    & ( p105(X2)
                      | ~ p106(X2) )
                    & ( p104(X2)
                      | ~ p105(X2) )
                    & ( p103(X2)
                      | ~ p104(X2) )
                    & ( p102(X2)
                      | ~ p103(X2) )
                    & ( p101(X2)
                      | ~ p102(X2) )
                    & ( p100(X2)
                      | ~ p101(X2) ) ) )
              & ( ( ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ~ p6(X2)
                            & ~ p106(X2)
                            & p105(X2) ) )
                  & ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p6(X2)
                            & ~ p106(X2)
                            & p105(X2) ) ) )
                | ~ ( ~ p105(X1)
                    & p104(X1) ) )
              & ( ( ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ~ p5(X2)
                            & ~ p105(X2)
                            & p104(X2) ) )
                  & ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p5(X2)
                            & ~ p105(X2)
                            & p104(X2) ) ) )
                | ~ ( ~ p104(X1)
                    & p103(X1) ) )
              & ( ( ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ~ p4(X2)
                            & ~ p104(X2)
                            & p103(X2) ) )
                  & ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p4(X2)
                            & ~ p104(X2)
                            & p103(X2) ) ) )
                | ~ ( ~ p103(X1)
                    & p102(X1) ) )
              & ( ( ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ~ p3(X2)
                            & ~ p103(X2)
                            & p102(X2) ) )
                  & ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p3(X2)
                            & ~ p103(X2)
                            & p102(X2) ) ) )
                | ~ ( ~ p102(X1)
                    & p101(X1) ) )
              & ( ( ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ~ p2(X2)
                            & ~ p102(X2)
                            & p101(X2) ) )
                  & ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p2(X2)
                            & ~ p102(X2)
                            & p101(X2) ) ) )
                | ~ ( ~ p101(X1)
                    & p100(X1) ) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p6(X2)
                        | ~ p105(X2) )
                    | p6(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p6(X2)
                        | ~ p105(X2) )
                    | ~ p6(X1) ) )
                | ~ p105(X1) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p5(X2)
                        | ~ p104(X2) )
                    | p5(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p5(X2)
                        | ~ p104(X2) )
                    | ~ p5(X1) ) )
                | ~ p104(X1) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p4(X2)
                        | ~ p103(X2) )
                    | p4(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p4(X2)
                        | ~ p103(X2) )
                    | ~ p4(X1) ) )
                | ~ p103(X1) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p3(X2)
                        | ~ p102(X2) )
                    | p3(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p3(X2)
                        | ~ p102(X2) )
                    | ~ p3(X1) ) )
                | ~ p102(X1) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p2(X2)
                        | ~ p101(X2) )
                    | p2(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p2(X2)
                        | ~ p101(X2) )
                    | ~ p2(X1) ) )
                | ~ p101(X1) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p1(X2)
                        | ~ p100(X2) )
                    | p1(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2)
                        | ~ p100(X2) )
                    | ~ p1(X1) ) )
                | ~ p100(X1) )
              & ( p105(X1)
                | ~ p106(X1) )
              & ( p104(X1)
                | ~ p105(X1) )
              & ( p103(X1)
                | ~ p104(X1) )
              & ( p102(X1)
                | ~ p103(X1) )
              & ( p101(X1)
                | ~ p102(X1) )
              & ( p100(X1)
                | ~ p101(X1) )
              & ~ p101(X1)
              & p100(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

fof(c_0_1,plain,
    ! [X2] :
      ( epred1_1(X2)
    <=> ( ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) ) )
          | ~ ( ~ p105(X2)
              & p104(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) ) )
          | ~ ( ~ p104(X2)
              & p103(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) ) )
          | ~ ( ~ p103(X2)
              & p102(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) ) )
          | ~ ( ~ p102(X2)
              & p101(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) ) )
          | ~ ( ~ p101(X2)
              & p100(X2) ) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p6(X1)
                  | ~ p105(X1) )
              | p6(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p6(X1)
                  | ~ p105(X1) )
              | ~ p6(X2) ) )
          | ~ p105(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p5(X1)
                  | ~ p104(X1) )
              | p5(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p5(X1)
                  | ~ p104(X1) )
              | ~ p5(X2) ) )
          | ~ p104(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p4(X1)
                  | ~ p103(X1) )
              | p4(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p4(X1)
                  | ~ p103(X1) )
              | ~ p4(X2) ) )
          | ~ p103(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p3(X1)
                  | ~ p102(X1) )
              | p3(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p3(X1)
                  | ~ p102(X1) )
              | ~ p3(X2) ) )
          | ~ p102(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p2(X1)
                  | ~ p101(X1) )
              | p2(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p2(X1)
                  | ~ p101(X1) )
              | ~ p2(X2) ) )
          | ~ p101(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p1(X1)
                  | ~ p100(X1) )
              | p1(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p1(X1)
                  | ~ p100(X1) )
              | ~ p1(X2) ) )
          | ~ p100(X2) )
        & ( p105(X2)
          | ~ p106(X2) )
        & ( p104(X2)
          | ~ p105(X2) )
        & ( p103(X2)
          | ~ p104(X2) )
        & ( p102(X2)
          | ~ p103(X2) )
        & ( p101(X2)
          | ~ p102(X2) )
        & ( p100(X2)
          | ~ p101(X2) ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ! [X1] :
      ( epred2_1(X1)
    <=> ( ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) ) )
          | ~ ( ~ p105(X1)
              & p104(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) ) )
          | ~ ( ~ p104(X1)
              & p103(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) ) )
          | ~ ( ~ p103(X1)
              & p102(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) ) )
          | ~ ( ~ p102(X1)
              & p101(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) ) )
          | ~ ( ~ p101(X1)
              & p100(X1) ) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p6(X2)
                  | ~ p105(X2) )
              | p6(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p6(X2)
                  | ~ p105(X2) )
              | ~ p6(X1) ) )
          | ~ p105(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p5(X2)
                  | ~ p104(X2) )
              | p5(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p5(X2)
                  | ~ p104(X2) )
              | ~ p5(X1) ) )
          | ~ p104(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p4(X2)
                  | ~ p103(X2) )
              | p4(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p4(X2)
                  | ~ p103(X2) )
              | ~ p4(X1) ) )
          | ~ p103(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p3(X2)
                  | ~ p102(X2) )
              | p3(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p3(X2)
                  | ~ p102(X2) )
              | ~ p3(X1) ) )
          | ~ p102(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p2(X2)
                  | ~ p101(X2) )
              | p2(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2)
                  | ~ p101(X2) )
              | ~ p2(X1) ) )
          | ~ p101(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p1(X2)
                  | ~ p100(X2) )
              | p1(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p1(X2)
                  | ~ p100(X2) )
              | ~ p1(X1) ) )
          | ~ p100(X1) )
        & ( p105(X1)
          | ~ p106(X1) )
        & ( p104(X1)
          | ~ p105(X1) )
        & ( p103(X1)
          | ~ p104(X1) )
        & ( p102(X1)
          | ~ p103(X1) )
        & ( p101(X1)
          | ~ p102(X1) )
        & ( p100(X1)
          | ~ p101(X1) ) ) ),
    introduced(definition) ).

fof(c_0_3,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p3(X2) ) ) ) ) )
            | ~ ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | epred1_1(X2) ) ) ) ) )
                & ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | epred2_1(X1) ) ) ) )
                & ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | epred1_1(X2) ) ) )
                & ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | epred2_1(X1) ) )
                & ! [X2] :
                    ( ~ r1(X1,X2)
                    | epred1_1(X2) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p6(X2)
                              & ~ p106(X2)
                              & p105(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p6(X2)
                              & ~ p106(X2)
                              & p105(X2) ) ) )
                  | ~ ( ~ p105(X1)
                      & p104(X1) ) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p5(X2)
                              & ~ p105(X2)
                              & p104(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p5(X2)
                              & ~ p105(X2)
                              & p104(X2) ) ) )
                  | ~ ( ~ p104(X1)
                      & p103(X1) ) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p4(X2)
                              & ~ p104(X2)
                              & p103(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p4(X2)
                              & ~ p104(X2)
                              & p103(X2) ) ) )
                  | ~ ( ~ p103(X1)
                      & p102(X1) ) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p3(X2)
                              & ~ p103(X2)
                              & p102(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p3(X2)
                              & ~ p103(X2)
                              & p102(X2) ) ) )
                  | ~ ( ~ p102(X1)
                      & p101(X1) ) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p2(X2)
                              & ~ p102(X2)
                              & p101(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p2(X2)
                              & ~ p102(X2)
                              & p101(X2) ) ) )
                  | ~ ( ~ p101(X1)
                      & p100(X1) ) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p6(X2)
                          | ~ p105(X2) )
                      | p6(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p6(X2)
                          | ~ p105(X2) )
                      | ~ p6(X1) ) )
                  | ~ p105(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p5(X2)
                          | ~ p104(X2) )
                      | p5(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p5(X2)
                          | ~ p104(X2) )
                      | ~ p5(X1) ) )
                  | ~ p104(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p4(X2)
                          | ~ p103(X2) )
                      | p4(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p4(X2)
                          | ~ p103(X2) )
                      | ~ p4(X1) ) )
                  | ~ p103(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p3(X2)
                          | ~ p102(X2) )
                      | p3(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p3(X2)
                          | ~ p102(X2) )
                      | ~ p3(X1) ) )
                  | ~ p102(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p2(X2)
                          | ~ p101(X2) )
                      | p2(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p2(X2)
                          | ~ p101(X2) )
                      | ~ p2(X1) ) )
                  | ~ p101(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p1(X2)
                          | ~ p100(X2) )
                      | p1(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p1(X2)
                          | ~ p100(X2) )
                      | ~ p1(X1) ) )
                  | ~ p100(X1) )
                & ( p105(X1)
                  | ~ p106(X1) )
                & ( p104(X1)
                  | ~ p105(X1) )
                & ( p103(X1)
                  | ~ p104(X1) )
                & ( p102(X1)
                  | ~ p103(X1) )
                & ( p101(X1)
                  | ~ p102(X1) )
                & ( p100(X1)
                  | ~ p101(X1) )
                & ~ p101(X1)
                & p100(X1) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_1]),c_0_2]),c_0_1]),c_0_2]),c_0_1]) ).

fof(c_0_4,negated_conjecture,
    ! [X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45] :
      ( ( ~ r1(esk1_0,X4)
        | ~ r1(X4,X5)
        | ~ r1(X5,X6)
        | ~ r1(X6,X7)
        | ~ r1(X7,X8)
        | p3(X8) )
      & ( ~ r1(esk1_0,X9)
        | ~ r1(X9,X10)
        | ~ r1(X10,X11)
        | ~ r1(X11,X12)
        | ~ r1(X12,X13)
        | epred1_1(X13) )
      & ( ~ r1(esk1_0,X14)
        | ~ r1(X14,X15)
        | ~ r1(X15,X16)
        | ~ r1(X16,X17)
        | epred2_1(X17) )
      & ( ~ r1(esk1_0,X18)
        | ~ r1(X18,X19)
        | ~ r1(X19,X20)
        | epred1_1(X20) )
      & ( ~ r1(esk1_0,X21)
        | ~ r1(X21,X22)
        | epred2_1(X22) )
      & ( ~ r1(esk1_0,X23)
        | epred1_1(X23) )
      & ( r1(esk1_0,esk2_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( ~ p6(esk2_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( ~ p106(esk2_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( p105(esk2_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( r1(esk1_0,esk3_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( p6(esk3_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( ~ p106(esk3_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( p105(esk3_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( r1(esk1_0,esk4_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( ~ p5(esk4_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( ~ p105(esk4_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( p104(esk4_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( r1(esk1_0,esk5_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( p5(esk5_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( ~ p105(esk5_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( p104(esk5_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( r1(esk1_0,esk6_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( ~ p4(esk6_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( ~ p104(esk6_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( p103(esk6_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( r1(esk1_0,esk7_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( p4(esk7_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( ~ p104(esk7_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( p103(esk7_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( r1(esk1_0,esk8_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ p3(esk8_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ p103(esk8_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( p102(esk8_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( r1(esk1_0,esk9_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( p3(esk9_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ p103(esk9_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( p102(esk9_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( r1(esk1_0,esk10_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ p2(esk10_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ p102(esk10_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( p101(esk10_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( r1(esk1_0,esk11_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( p2(esk11_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ p102(esk11_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( p101(esk11_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ r1(esk1_0,X34)
        | ~ p6(X34)
        | ~ p105(X34)
        | p6(esk1_0)
        | ~ p105(esk1_0) )
      & ( ~ r1(esk1_0,X35)
        | p6(X35)
        | ~ p105(X35)
        | ~ p6(esk1_0)
        | ~ p105(esk1_0) )
      & ( ~ r1(esk1_0,X36)
        | ~ p5(X36)
        | ~ p104(X36)
        | p5(esk1_0)
        | ~ p104(esk1_0) )
      & ( ~ r1(esk1_0,X37)
        | p5(X37)
        | ~ p104(X37)
        | ~ p5(esk1_0)
        | ~ p104(esk1_0) )
      & ( ~ r1(esk1_0,X38)
        | ~ p4(X38)
        | ~ p103(X38)
        | p4(esk1_0)
        | ~ p103(esk1_0) )
      & ( ~ r1(esk1_0,X39)
        | p4(X39)
        | ~ p103(X39)
        | ~ p4(esk1_0)
        | ~ p103(esk1_0) )
      & ( ~ r1(esk1_0,X40)
        | ~ p3(X40)
        | ~ p102(X40)
        | p3(esk1_0)
        | ~ p102(esk1_0) )
      & ( ~ r1(esk1_0,X41)
        | p3(X41)
        | ~ p102(X41)
        | ~ p3(esk1_0)
        | ~ p102(esk1_0) )
      & ( ~ r1(esk1_0,X42)
        | ~ p2(X42)
        | ~ p101(X42)
        | p2(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ r1(esk1_0,X43)
        | p2(X43)
        | ~ p101(X43)
        | ~ p2(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ r1(esk1_0,X44)
        | ~ p1(X44)
        | ~ p100(X44)
        | p1(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ r1(esk1_0,X45)
        | p1(X45)
        | ~ p100(X45)
        | ~ p1(esk1_0)
        | ~ p100(esk1_0) )
      & ( p105(esk1_0)
        | ~ p106(esk1_0) )
      & ( p104(esk1_0)
        | ~ p105(esk1_0) )
      & ( p103(esk1_0)
        | ~ p104(esk1_0) )
      & ( p102(esk1_0)
        | ~ p103(esk1_0) )
      & ( p101(esk1_0)
        | ~ p102(esk1_0) )
      & ( p100(esk1_0)
        | ~ p101(esk1_0) )
      & ~ p101(esk1_0)
      & p100(esk1_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_5,negated_conjecture,
    ( r1(esk1_0,esk11_0)
    | p101(esk1_0)
    | ~ p100(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_6,negated_conjecture,
    p100(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ~ p101(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_8,plain,
    ! [X2] :
      ( epred1_1(X2)
     => ( ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) ) )
          | ~ ( ~ p105(X2)
              & p104(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) ) )
          | ~ ( ~ p104(X2)
              & p103(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) ) )
          | ~ ( ~ p103(X2)
              & p102(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) ) )
          | ~ ( ~ p102(X2)
              & p101(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) ) )
          | ~ ( ~ p101(X2)
              & p100(X2) ) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p6(X1)
                  | ~ p105(X1) )
              | p6(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p6(X1)
                  | ~ p105(X1) )
              | ~ p6(X2) ) )
          | ~ p105(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p5(X1)
                  | ~ p104(X1) )
              | p5(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p5(X1)
                  | ~ p104(X1) )
              | ~ p5(X2) ) )
          | ~ p104(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p4(X1)
                  | ~ p103(X1) )
              | p4(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p4(X1)
                  | ~ p103(X1) )
              | ~ p4(X2) ) )
          | ~ p103(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p3(X1)
                  | ~ p102(X1) )
              | p3(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p3(X1)
                  | ~ p102(X1) )
              | ~ p3(X2) ) )
          | ~ p102(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p2(X1)
                  | ~ p101(X1) )
              | p2(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p2(X1)
                  | ~ p101(X1) )
              | ~ p2(X2) ) )
          | ~ p101(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p1(X1)
                  | ~ p100(X1) )
              | p1(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p1(X1)
                  | ~ p100(X1) )
              | ~ p1(X2) ) )
          | ~ p100(X2) )
        & ( p105(X2)
          | ~ p106(X2) )
        & ( p104(X2)
          | ~ p105(X2) )
        & ( p103(X2)
          | ~ p104(X2) )
        & ( p102(X2)
          | ~ p103(X2) )
        & ( p101(X2)
          | ~ p102(X2) )
        & ( p100(X2)
          | ~ p101(X2) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

cnf(c_0_9,negated_conjecture,
    ( epred1_1(X5)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    r1(esk1_0,esk11_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),c_0_7]) ).

fof(c_0_11,plain,
    ! [X46,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68] :
      ( ( r1(X46,esk12_1(X46))
        | p105(X46)
        | ~ p104(X46)
        | ~ epred1_1(X46) )
      & ( ~ p6(esk12_1(X46))
        | p105(X46)
        | ~ p104(X46)
        | ~ epred1_1(X46) )
      & ( ~ p106(esk12_1(X46))
        | p105(X46)
        | ~ p104(X46)
        | ~ epred1_1(X46) )
      & ( p105(esk12_1(X46))
        | p105(X46)
        | ~ p104(X46)
        | ~ epred1_1(X46) )
      & ( r1(X46,esk13_1(X46))
        | p105(X46)
        | ~ p104(X46)
        | ~ epred1_1(X46) )
      & ( p6(esk13_1(X46))
        | p105(X46)
        | ~ p104(X46)
        | ~ epred1_1(X46) )
      & ( ~ p106(esk13_1(X46))
        | p105(X46)
        | ~ p104(X46)
        | ~ epred1_1(X46) )
      & ( p105(esk13_1(X46))
        | p105(X46)
        | ~ p104(X46)
        | ~ epred1_1(X46) )
      & ( r1(X46,esk14_1(X46))
        | p104(X46)
        | ~ p103(X46)
        | ~ epred1_1(X46) )
      & ( ~ p5(esk14_1(X46))
        | p104(X46)
        | ~ p103(X46)
        | ~ epred1_1(X46) )
      & ( ~ p105(esk14_1(X46))
        | p104(X46)
        | ~ p103(X46)
        | ~ epred1_1(X46) )
      & ( p104(esk14_1(X46))
        | p104(X46)
        | ~ p103(X46)
        | ~ epred1_1(X46) )
      & ( r1(X46,esk15_1(X46))
        | p104(X46)
        | ~ p103(X46)
        | ~ epred1_1(X46) )
      & ( p5(esk15_1(X46))
        | p104(X46)
        | ~ p103(X46)
        | ~ epred1_1(X46) )
      & ( ~ p105(esk15_1(X46))
        | p104(X46)
        | ~ p103(X46)
        | ~ epred1_1(X46) )
      & ( p104(esk15_1(X46))
        | p104(X46)
        | ~ p103(X46)
        | ~ epred1_1(X46) )
      & ( r1(X46,esk16_1(X46))
        | p103(X46)
        | ~ p102(X46)
        | ~ epred1_1(X46) )
      & ( ~ p4(esk16_1(X46))
        | p103(X46)
        | ~ p102(X46)
        | ~ epred1_1(X46) )
      & ( ~ p104(esk16_1(X46))
        | p103(X46)
        | ~ p102(X46)
        | ~ epred1_1(X46) )
      & ( p103(esk16_1(X46))
        | p103(X46)
        | ~ p102(X46)
        | ~ epred1_1(X46) )
      & ( r1(X46,esk17_1(X46))
        | p103(X46)
        | ~ p102(X46)
        | ~ epred1_1(X46) )
      & ( p4(esk17_1(X46))
        | p103(X46)
        | ~ p102(X46)
        | ~ epred1_1(X46) )
      & ( ~ p104(esk17_1(X46))
        | p103(X46)
        | ~ p102(X46)
        | ~ epred1_1(X46) )
      & ( p103(esk17_1(X46))
        | p103(X46)
        | ~ p102(X46)
        | ~ epred1_1(X46) )
      & ( r1(X46,esk18_1(X46))
        | p102(X46)
        | ~ p101(X46)
        | ~ epred1_1(X46) )
      & ( ~ p3(esk18_1(X46))
        | p102(X46)
        | ~ p101(X46)
        | ~ epred1_1(X46) )
      & ( ~ p103(esk18_1(X46))
        | p102(X46)
        | ~ p101(X46)
        | ~ epred1_1(X46) )
      & ( p102(esk18_1(X46))
        | p102(X46)
        | ~ p101(X46)
        | ~ epred1_1(X46) )
      & ( r1(X46,esk19_1(X46))
        | p102(X46)
        | ~ p101(X46)
        | ~ epred1_1(X46) )
      & ( p3(esk19_1(X46))
        | p102(X46)
        | ~ p101(X46)
        | ~ epred1_1(X46) )
      & ( ~ p103(esk19_1(X46))
        | p102(X46)
        | ~ p101(X46)
        | ~ epred1_1(X46) )
      & ( p102(esk19_1(X46))
        | p102(X46)
        | ~ p101(X46)
        | ~ epred1_1(X46) )
      & ( r1(X46,esk20_1(X46))
        | p101(X46)
        | ~ p100(X46)
        | ~ epred1_1(X46) )
      & ( ~ p2(esk20_1(X46))
        | p101(X46)
        | ~ p100(X46)
        | ~ epred1_1(X46) )
      & ( ~ p102(esk20_1(X46))
        | p101(X46)
        | ~ p100(X46)
        | ~ epred1_1(X46) )
      & ( p101(esk20_1(X46))
        | p101(X46)
        | ~ p100(X46)
        | ~ epred1_1(X46) )
      & ( r1(X46,esk21_1(X46))
        | p101(X46)
        | ~ p100(X46)
        | ~ epred1_1(X46) )
      & ( p2(esk21_1(X46))
        | p101(X46)
        | ~ p100(X46)
        | ~ epred1_1(X46) )
      & ( ~ p102(esk21_1(X46))
        | p101(X46)
        | ~ p100(X46)
        | ~ epred1_1(X46) )
      & ( p101(esk21_1(X46))
        | p101(X46)
        | ~ p100(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X57)
        | ~ p6(X57)
        | ~ p105(X57)
        | p6(X46)
        | ~ p105(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X58)
        | p6(X58)
        | ~ p105(X58)
        | ~ p6(X46)
        | ~ p105(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X59)
        | ~ p5(X59)
        | ~ p104(X59)
        | p5(X46)
        | ~ p104(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X60)
        | p5(X60)
        | ~ p104(X60)
        | ~ p5(X46)
        | ~ p104(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X61)
        | ~ p4(X61)
        | ~ p103(X61)
        | p4(X46)
        | ~ p103(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X62)
        | p4(X62)
        | ~ p103(X62)
        | ~ p4(X46)
        | ~ p103(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X63)
        | ~ p3(X63)
        | ~ p102(X63)
        | p3(X46)
        | ~ p102(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X64)
        | p3(X64)
        | ~ p102(X64)
        | ~ p3(X46)
        | ~ p102(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X65)
        | ~ p2(X65)
        | ~ p101(X65)
        | p2(X46)
        | ~ p101(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X66)
        | p2(X66)
        | ~ p101(X66)
        | ~ p2(X46)
        | ~ p101(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X67)
        | ~ p1(X67)
        | ~ p100(X67)
        | p1(X46)
        | ~ p100(X46)
        | ~ epred1_1(X46) )
      & ( ~ r1(X46,X68)
        | p1(X68)
        | ~ p100(X68)
        | ~ p1(X46)
        | ~ p100(X46)
        | ~ epred1_1(X46) )
      & ( p105(X46)
        | ~ p106(X46)
        | ~ epred1_1(X46) )
      & ( p104(X46)
        | ~ p105(X46)
        | ~ epred1_1(X46) )
      & ( p103(X46)
        | ~ p104(X46)
        | ~ epred1_1(X46) )
      & ( p102(X46)
        | ~ p103(X46)
        | ~ epred1_1(X46) )
      & ( p101(X46)
        | ~ p102(X46)
        | ~ epred1_1(X46) )
      & ( p100(X46)
        | ~ p101(X46)
        | ~ epred1_1(X46) ) ),
    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_8])])])])]) ).

cnf(c_0_12,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13,negated_conjecture,
    ( p101(esk11_0)
    | p101(esk1_0)
    | ~ p100(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14,negated_conjecture,
    ( p101(esk1_0)
    | ~ p102(esk11_0)
    | ~ p100(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_15,plain,
    ! [X1] :
      ( epred2_1(X1)
     => ( ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) ) )
          | ~ ( ~ p105(X1)
              & p104(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) ) )
          | ~ ( ~ p104(X1)
              & p103(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) ) )
          | ~ ( ~ p103(X1)
              & p102(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) ) )
          | ~ ( ~ p102(X1)
              & p101(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) ) )
          | ~ ( ~ p101(X1)
              & p100(X1) ) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p6(X2)
                  | ~ p105(X2) )
              | p6(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p6(X2)
                  | ~ p105(X2) )
              | ~ p6(X1) ) )
          | ~ p105(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p5(X2)
                  | ~ p104(X2) )
              | p5(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p5(X2)
                  | ~ p104(X2) )
              | ~ p5(X1) ) )
          | ~ p104(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p4(X2)
                  | ~ p103(X2) )
              | p4(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p4(X2)
                  | ~ p103(X2) )
              | ~ p4(X1) ) )
          | ~ p103(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p3(X2)
                  | ~ p102(X2) )
              | p3(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p3(X2)
                  | ~ p102(X2) )
              | ~ p3(X1) ) )
          | ~ p102(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p2(X2)
                  | ~ p101(X2) )
              | p2(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2)
                  | ~ p101(X2) )
              | ~ p2(X1) ) )
          | ~ p101(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p1(X2)
                  | ~ p100(X2) )
              | p1(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p1(X2)
                  | ~ p100(X2) )
              | ~ p1(X1) ) )
          | ~ p100(X1) )
        & ( p105(X1)
          | ~ p106(X1) )
        & ( p104(X1)
          | ~ p105(X1) )
        & ( p103(X1)
          | ~ p104(X1) )
        & ( p102(X1)
          | ~ p103(X1) )
        & ( p101(X1)
          | ~ p102(X1) )
        & ( p100(X1)
          | ~ p101(X1) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_2]) ).

cnf(c_0_16,negated_conjecture,
    ( epred2_1(X2)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_17,negated_conjecture,
    ( epred1_1(X3)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18,negated_conjecture,
    ( epred2_1(X4)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_19,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X2,X4) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_20,plain,
    ( r1(X1,esk18_1(X1))
    | p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,negated_conjecture,
    epred1_1(esk11_0),
    inference(spm,[status(thm)],[c_0_12,c_0_10]) ).

cnf(c_0_22,negated_conjecture,
    p101(esk11_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_6])]),c_0_7]) ).

cnf(c_0_23,negated_conjecture,
    ~ p102(esk11_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_6])]),c_0_7]) ).

fof(c_0_24,plain,
    ! [X69,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91] :
      ( ( r1(X69,esk22_1(X69))
        | p105(X69)
        | ~ p104(X69)
        | ~ epred2_1(X69) )
      & ( ~ p6(esk22_1(X69))
        | p105(X69)
        | ~ p104(X69)
        | ~ epred2_1(X69) )
      & ( ~ p106(esk22_1(X69))
        | p105(X69)
        | ~ p104(X69)
        | ~ epred2_1(X69) )
      & ( p105(esk22_1(X69))
        | p105(X69)
        | ~ p104(X69)
        | ~ epred2_1(X69) )
      & ( r1(X69,esk23_1(X69))
        | p105(X69)
        | ~ p104(X69)
        | ~ epred2_1(X69) )
      & ( p6(esk23_1(X69))
        | p105(X69)
        | ~ p104(X69)
        | ~ epred2_1(X69) )
      & ( ~ p106(esk23_1(X69))
        | p105(X69)
        | ~ p104(X69)
        | ~ epred2_1(X69) )
      & ( p105(esk23_1(X69))
        | p105(X69)
        | ~ p104(X69)
        | ~ epred2_1(X69) )
      & ( r1(X69,esk24_1(X69))
        | p104(X69)
        | ~ p103(X69)
        | ~ epred2_1(X69) )
      & ( ~ p5(esk24_1(X69))
        | p104(X69)
        | ~ p103(X69)
        | ~ epred2_1(X69) )
      & ( ~ p105(esk24_1(X69))
        | p104(X69)
        | ~ p103(X69)
        | ~ epred2_1(X69) )
      & ( p104(esk24_1(X69))
        | p104(X69)
        | ~ p103(X69)
        | ~ epred2_1(X69) )
      & ( r1(X69,esk25_1(X69))
        | p104(X69)
        | ~ p103(X69)
        | ~ epred2_1(X69) )
      & ( p5(esk25_1(X69))
        | p104(X69)
        | ~ p103(X69)
        | ~ epred2_1(X69) )
      & ( ~ p105(esk25_1(X69))
        | p104(X69)
        | ~ p103(X69)
        | ~ epred2_1(X69) )
      & ( p104(esk25_1(X69))
        | p104(X69)
        | ~ p103(X69)
        | ~ epred2_1(X69) )
      & ( r1(X69,esk26_1(X69))
        | p103(X69)
        | ~ p102(X69)
        | ~ epred2_1(X69) )
      & ( ~ p4(esk26_1(X69))
        | p103(X69)
        | ~ p102(X69)
        | ~ epred2_1(X69) )
      & ( ~ p104(esk26_1(X69))
        | p103(X69)
        | ~ p102(X69)
        | ~ epred2_1(X69) )
      & ( p103(esk26_1(X69))
        | p103(X69)
        | ~ p102(X69)
        | ~ epred2_1(X69) )
      & ( r1(X69,esk27_1(X69))
        | p103(X69)
        | ~ p102(X69)
        | ~ epred2_1(X69) )
      & ( p4(esk27_1(X69))
        | p103(X69)
        | ~ p102(X69)
        | ~ epred2_1(X69) )
      & ( ~ p104(esk27_1(X69))
        | p103(X69)
        | ~ p102(X69)
        | ~ epred2_1(X69) )
      & ( p103(esk27_1(X69))
        | p103(X69)
        | ~ p102(X69)
        | ~ epred2_1(X69) )
      & ( r1(X69,esk28_1(X69))
        | p102(X69)
        | ~ p101(X69)
        | ~ epred2_1(X69) )
      & ( ~ p3(esk28_1(X69))
        | p102(X69)
        | ~ p101(X69)
        | ~ epred2_1(X69) )
      & ( ~ p103(esk28_1(X69))
        | p102(X69)
        | ~ p101(X69)
        | ~ epred2_1(X69) )
      & ( p102(esk28_1(X69))
        | p102(X69)
        | ~ p101(X69)
        | ~ epred2_1(X69) )
      & ( r1(X69,esk29_1(X69))
        | p102(X69)
        | ~ p101(X69)
        | ~ epred2_1(X69) )
      & ( p3(esk29_1(X69))
        | p102(X69)
        | ~ p101(X69)
        | ~ epred2_1(X69) )
      & ( ~ p103(esk29_1(X69))
        | p102(X69)
        | ~ p101(X69)
        | ~ epred2_1(X69) )
      & ( p102(esk29_1(X69))
        | p102(X69)
        | ~ p101(X69)
        | ~ epred2_1(X69) )
      & ( r1(X69,esk30_1(X69))
        | p101(X69)
        | ~ p100(X69)
        | ~ epred2_1(X69) )
      & ( ~ p2(esk30_1(X69))
        | p101(X69)
        | ~ p100(X69)
        | ~ epred2_1(X69) )
      & ( ~ p102(esk30_1(X69))
        | p101(X69)
        | ~ p100(X69)
        | ~ epred2_1(X69) )
      & ( p101(esk30_1(X69))
        | p101(X69)
        | ~ p100(X69)
        | ~ epred2_1(X69) )
      & ( r1(X69,esk31_1(X69))
        | p101(X69)
        | ~ p100(X69)
        | ~ epred2_1(X69) )
      & ( p2(esk31_1(X69))
        | p101(X69)
        | ~ p100(X69)
        | ~ epred2_1(X69) )
      & ( ~ p102(esk31_1(X69))
        | p101(X69)
        | ~ p100(X69)
        | ~ epred2_1(X69) )
      & ( p101(esk31_1(X69))
        | p101(X69)
        | ~ p100(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X80)
        | ~ p6(X80)
        | ~ p105(X80)
        | p6(X69)
        | ~ p105(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X81)
        | p6(X81)
        | ~ p105(X81)
        | ~ p6(X69)
        | ~ p105(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X82)
        | ~ p5(X82)
        | ~ p104(X82)
        | p5(X69)
        | ~ p104(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X83)
        | p5(X83)
        | ~ p104(X83)
        | ~ p5(X69)
        | ~ p104(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X84)
        | ~ p4(X84)
        | ~ p103(X84)
        | p4(X69)
        | ~ p103(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X85)
        | p4(X85)
        | ~ p103(X85)
        | ~ p4(X69)
        | ~ p103(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X86)
        | ~ p3(X86)
        | ~ p102(X86)
        | p3(X69)
        | ~ p102(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X87)
        | p3(X87)
        | ~ p102(X87)
        | ~ p3(X69)
        | ~ p102(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X88)
        | ~ p2(X88)
        | ~ p101(X88)
        | p2(X69)
        | ~ p101(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X89)
        | p2(X89)
        | ~ p101(X89)
        | ~ p2(X69)
        | ~ p101(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X90)
        | ~ p1(X90)
        | ~ p100(X90)
        | p1(X69)
        | ~ p100(X69)
        | ~ epred2_1(X69) )
      & ( ~ r1(X69,X91)
        | p1(X91)
        | ~ p100(X91)
        | ~ p1(X69)
        | ~ p100(X69)
        | ~ epred2_1(X69) )
      & ( p105(X69)
        | ~ p106(X69)
        | ~ epred2_1(X69) )
      & ( p104(X69)
        | ~ p105(X69)
        | ~ epred2_1(X69) )
      & ( p103(X69)
        | ~ p104(X69)
        | ~ epred2_1(X69) )
      & ( p102(X69)
        | ~ p103(X69)
        | ~ epred2_1(X69) )
      & ( p101(X69)
        | ~ p102(X69)
        | ~ epred2_1(X69) )
      & ( p100(X69)
        | ~ p101(X69)
        | ~ epred2_1(X69) ) ),
    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_15])])])])]) ).

cnf(c_0_25,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_10]) ).

cnf(c_0_26,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_10]) ).

cnf(c_0_27,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_18,c_0_10]) ).

cnf(c_0_28,plain,
    ( epred1_1(X1)
    | ~ r1(esk18_1(esk11_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_29,plain,
    ( r1(X1,esk27_1(X1))
    | p103(X1)
    | ~ p102(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    epred2_1(esk18_1(esk11_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_31,plain,
    ( epred1_1(X1)
    | ~ r1(esk18_1(esk11_0),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_32,plain,
    ( epred2_1(X1)
    | ~ r1(esk18_1(esk11_0),X2)
    | ~ r1(X2,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_33,plain,
    ( p101(X1)
    | ~ p102(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34,plain,
    ( epred1_1(X1)
    | p103(esk18_1(esk11_0))
    | ~ p102(esk18_1(esk11_0))
    | ~ r1(esk27_1(esk18_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).

cnf(c_0_35,plain,
    ( p102(esk18_1(X1))
    | p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_36,plain,
    ( epred1_1(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | ~ p102(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_29]),c_0_30])]) ).

cnf(c_0_37,plain,
    ( epred2_1(X1)
    | p103(esk18_1(esk11_0))
    | ~ p102(esk18_1(esk11_0))
    | ~ r1(esk27_1(esk18_1(esk11_0)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_29]),c_0_30])]) ).

cnf(c_0_38,plain,
    ( p101(esk18_1(esk11_0))
    | ~ p102(esk18_1(esk11_0)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_30]) ).

cnf(c_0_39,plain,
    ( epred1_1(X1)
    | p103(esk18_1(esk11_0))
    | ~ r1(esk27_1(esk18_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_40,plain,
    ( r1(X1,esk15_1(X1))
    | p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_41,plain,
    ( epred1_1(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_42,plain,
    ( epred2_1(X1)
    | p103(esk18_1(esk11_0))
    | ~ r1(esk27_1(esk18_1(esk11_0)),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_43,plain,
    ( r1(X1,esk28_1(X1))
    | p102(X1)
    | ~ p101(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_44,plain,
    p101(esk18_1(esk11_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_45,plain,
    ( epred1_1(X1)
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | ~ p103(esk27_1(esk18_1(esk11_0)))
    | ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_46,plain,
    ( p103(esk27_1(X1))
    | p103(X1)
    | ~ p102(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_47,plain,
    ( epred2_1(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | ~ p103(esk27_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_40]),c_0_41]) ).

cnf(c_0_48,plain,
    ( p101(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_49,plain,
    ( epred1_1(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_43]),c_0_30]),c_0_44])]) ).

cnf(c_0_50,plain,
    ( epred1_1(X1)
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | ~ p102(esk18_1(esk11_0))
    | ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_30])]) ).

cnf(c_0_51,plain,
    ( epred2_1(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | ~ p102(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_46]),c_0_30])]) ).

cnf(c_0_52,negated_conjecture,
    ( p3(X5)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_53,plain,
    ( p102(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_54,plain,
    ( epred1_1(X1)
    | p102(esk18_1(esk11_0))
    | ~ r1(esk28_1(esk18_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_43]),c_0_30]),c_0_44])]) ).

cnf(c_0_55,plain,
    ( r1(X1,esk17_1(X1))
    | p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_56,plain,
    ( epred2_1(X1)
    | p102(esk18_1(esk11_0))
    | ~ r1(esk28_1(esk18_1(esk11_0)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_43]),c_0_30]),c_0_44])]) ).

cnf(c_0_57,plain,
    ( p101(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0))
    | ~ p102(esk28_1(esk18_1(esk11_0))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_58,plain,
    ( p102(esk28_1(X1))
    | p102(X1)
    | ~ p101(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_59,plain,
    ( epred1_1(X1)
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_60,plain,
    ( r1(X1,esk23_1(X1))
    | p105(X1)
    | ~ p104(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_61,plain,
    ( epred2_1(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_62,negated_conjecture,
    ( p3(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X2,X4) ),
    inference(spm,[status(thm)],[c_0_52,c_0_10]) ).

cnf(c_0_63,plain,
    ( p102(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | ~ p103(esk27_1(esk18_1(esk11_0))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_41]) ).

cnf(c_0_64,plain,
    ( epred1_1(X1)
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | ~ p102(esk28_1(esk18_1(esk11_0)))
    | ~ r1(esk17_1(esk28_1(esk18_1(esk11_0))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_49]) ).

cnf(c_0_65,plain,
    ( epred2_1(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | ~ p102(esk28_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_55]),c_0_49]) ).

cnf(c_0_66,plain,
    ( p101(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_30]),c_0_44])]) ).

cnf(c_0_67,plain,
    ( epred1_1(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | ~ p104(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_68,plain,
    ( p104(esk15_1(X1))
    | p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_69,plain,
    ( p3(X1)
    | ~ r1(esk18_1(esk11_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_70,plain,
    ( p103(X1)
    | ~ p104(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_71,plain,
    ( p102(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | ~ p102(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_46]),c_0_30])]) ).

cnf(c_0_72,plain,
    ( epred1_1(X1)
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | ~ r1(esk17_1(esk28_1(esk18_1(esk11_0))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_58]),c_0_30]),c_0_44])]) ).

cnf(c_0_73,plain,
    ( r1(X1,esk25_1(X1))
    | p104(X1)
    | ~ p103(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_74,plain,
    ( epred2_1(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_58]),c_0_30]),c_0_44])]) ).

cnf(c_0_75,plain,
    ( epred2_1(esk18_1(esk28_1(esk18_1(esk11_0))))
    | p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_20]),c_0_66]),c_0_49]) ).

cnf(c_0_76,plain,
    ( epred1_1(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | ~ p103(esk27_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_41]) ).

cnf(c_0_77,plain,
    ( p103(esk18_1(esk11_0))
    | p3(X1)
    | ~ p102(esk18_1(esk11_0))
    | ~ r1(esk27_1(esk18_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_29]),c_0_30])]) ).

cnf(c_0_78,plain,
    ( p103(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | ~ p104(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_70,c_0_61]) ).

cnf(c_0_79,plain,
    ( p102(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_80,plain,
    ( epred1_1(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0))))
    | ~ p103(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).

cnf(c_0_81,plain,
    ( p103(esk17_1(X1))
    | p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_82,plain,
    ( p102(X1)
    | ~ p103(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_83,plain,
    ( p102(esk18_1(esk11_0))
    | p3(X1)
    | ~ r1(esk28_1(esk18_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_43]),c_0_30]),c_0_44])]) ).

cnf(c_0_84,plain,
    ( p101(esk18_1(esk28_1(esk18_1(esk11_0))))
    | p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0))
    | ~ p102(esk18_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_33,c_0_75]) ).

cnf(c_0_85,plain,
    ( p104(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_86,plain,
    ( p105(esk23_1(X1))
    | p105(X1)
    | ~ p104(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_87,plain,
    ( epred1_1(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | ~ p102(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_46]),c_0_30])]) ).

cnf(c_0_88,plain,
    ( p103(esk18_1(esk11_0))
    | p3(X1)
    | ~ r1(esk27_1(esk18_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_89,plain,
    ( p103(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | ~ p103(esk27_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_68]),c_0_41]) ).

cnf(c_0_90,plain,
    ( epred1_1(X1)
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | ~ r1(esk17_1(esk27_1(esk18_1(esk11_0))),X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_55]),c_0_79]),c_0_41]) ).

cnf(c_0_91,plain,
    ( epred2_1(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_55]),c_0_79]),c_0_41]) ).

cnf(c_0_92,plain,
    ( epred1_1(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0))))
    | ~ p102(esk28_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_49]) ).

cnf(c_0_93,plain,
    ( p102(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | ~ p103(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_82,c_0_74]) ).

cnf(c_0_94,plain,
    ( p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0))
    | p3(X1)
    | ~ r1(esk18_1(esk28_1(esk18_1(esk11_0))),X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_20]),c_0_66]),c_0_49]) ).

cnf(c_0_95,plain,
    ( p101(esk18_1(esk28_1(esk18_1(esk11_0))))
    | p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_35]),c_0_66]),c_0_49]) ).

cnf(c_0_96,plain,
    ( p104(esk23_1(X1))
    | p105(X1)
    | ~ epred2_1(X1)
    | ~ epred1_1(esk23_1(X1))
    | ~ p104(X1) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_97,plain,
    ( epred1_1(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_98,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p3(X1)
    | ~ p103(esk27_1(esk18_1(esk11_0)))
    | ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_40]),c_0_41]) ).

cnf(c_0_99,plain,
    ( p103(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | ~ p102(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_46]),c_0_30])]) ).

cnf(c_0_100,plain,
    ( epred1_1(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p104(esk17_1(esk27_1(esk18_1(esk11_0))))
    | ~ p103(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_73]),c_0_91]) ).

cnf(c_0_101,plain,
    ( p102(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | ~ p103(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_82,c_0_91]) ).

cnf(c_0_102,plain,
    ( p103(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_103,plain,
    ( epred1_1(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_58]),c_0_30]),c_0_44])]) ).

cnf(c_0_104,plain,
    ( p102(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | ~ p102(esk28_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_81]),c_0_49]) ).

cnf(c_0_105,plain,
    ( p102(X1)
    | ~ p3(esk28_1(X1))
    | ~ p101(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_106,plain,
    ( p102(esk18_1(esk28_1(esk18_1(esk11_0))))
    | p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0))
    | p3(esk28_1(esk18_1(esk28_1(esk18_1(esk11_0))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_43]),c_0_95]),c_0_75]) ).

cnf(c_0_107,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | ~ p104(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_61]) ).

cnf(c_0_108,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p3(X1)
    | ~ p102(esk18_1(esk11_0))
    | ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_46]),c_0_30])]) ).

cnf(c_0_109,plain,
    ( p103(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_110,plain,
    ( epred1_1(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p104(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_81]),c_0_79]),c_0_41]) ).

cnf(c_0_111,plain,
    ( p102(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_81]),c_0_79]),c_0_41]) ).

cnf(c_0_112,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0))))
    | ~ p104(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_113,plain,
    ( p104(esk25_1(X1))
    | p104(X1)
    | ~ p103(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_114,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p3(X1)
    | ~ p102(esk28_1(esk18_1(esk11_0)))
    | ~ r1(esk17_1(esk28_1(esk18_1(esk11_0))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_55]),c_0_49]) ).

cnf(c_0_115,plain,
    ( p102(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_58]),c_0_30]),c_0_44])]) ).

cnf(c_0_116,plain,
    ( epred1_1(X1)
    | p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0))
    | ~ r1(esk18_1(esk28_1(esk18_1(esk11_0))),X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_20]),c_0_66]),c_0_49]) ).

cnf(c_0_117,plain,
    ( p102(esk18_1(esk28_1(esk18_1(esk11_0))))
    | p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_95]),c_0_75]) ).

cnf(c_0_118,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | ~ p103(esk27_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_68]),c_0_41]) ).

cnf(c_0_119,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p3(X1)
    | ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_120,plain,
    ( epred1_1(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p104(esk27_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_73]),c_0_109]),c_0_61]) ).

cnf(c_0_121,plain,
    ( p103(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p104(esk17_1(esk27_1(esk18_1(esk11_0))))
    | ~ p104(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_110]) ).

cnf(c_0_122,plain,
    ( epred1_1(esk27_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_29]),c_0_111]),c_0_91]) ).

cnf(c_0_123,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0))))
    | ~ p103(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_74]) ).

cnf(c_0_124,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p3(X1)
    | ~ r1(esk17_1(esk28_1(esk18_1(esk11_0))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_58]),c_0_30]),c_0_44])]) ).

cnf(c_0_125,plain,
    ( epred1_1(esk27_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p102(esk18_1(esk11_0))
    | p103(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p103(esk28_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_29]),c_0_115]),c_0_74]) ).

cnf(c_0_126,plain,
    ( epred1_1(esk27_1(esk18_1(esk28_1(esk18_1(esk11_0)))))
    | p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0))
    | p103(esk18_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_29]),c_0_117]),c_0_75]) ).

cnf(c_0_127,plain,
    ( p3(X1)
    | ~ r1(X1,X2)
    | ~ p3(X2)
    | ~ p102(X2)
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_128,plain,
    ( p102(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | ~ p103(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_82,c_0_61]) ).

cnf(c_0_129,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | ~ p102(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_46]),c_0_30])]) ).

cnf(c_0_130,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p3(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | ~ p104(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_60]),c_0_61]) ).

cnf(c_0_131,plain,
    ( p103(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p104(esk27_1(esk18_1(esk11_0)))
    | ~ p104(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_120]) ).

cnf(c_0_132,plain,
    ( p103(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p104(esk17_1(esk27_1(esk18_1(esk11_0))))
    | ~ p103(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_113]),c_0_91]) ).

cnf(c_0_133,plain,
    ( p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p3(X1)
    | ~ r1(esk17_1(esk27_1(esk18_1(esk11_0))),X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_55]),c_0_79]),c_0_41]) ).

cnf(c_0_134,plain,
    ( p3(X1)
    | ~ r1(X1,X2)
    | ~ p3(X2)
    | ~ p102(X2)
    | ~ p102(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_135,plain,
    ( p102(esk27_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | ~ p103(esk27_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_122]) ).

cnf(c_0_136,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0))))
    | ~ p102(esk28_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_81]),c_0_49]) ).

cnf(c_0_137,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p3(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | ~ p103(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_73]),c_0_74]) ).

cnf(c_0_138,plain,
    ( p102(esk27_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p102(esk18_1(esk11_0))
    | p103(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p103(esk28_1(esk18_1(esk11_0)))
    | ~ p103(esk27_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_125]) ).

cnf(c_0_139,plain,
    ( p102(esk27_1(esk18_1(esk28_1(esk18_1(esk11_0)))))
    | p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0))
    | p103(esk18_1(esk28_1(esk18_1(esk11_0))))
    | ~ p103(esk27_1(esk18_1(esk28_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_126]) ).

cnf(c_0_140,plain,
    ( p104(X1)
    | p3(X1)
    | ~ epred1_1(X1)
    | ~ p102(esk15_1(X1))
    | ~ p103(X1)
    | ~ p3(esk15_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_40]),c_0_53]) ).

cnf(c_0_141,plain,
    ( p102(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0))) ),
    inference(spm,[status(thm)],[c_0_128,c_0_109]) ).

cnf(c_0_142,plain,
    ( p103(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | ~ p104(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_97]) ).

cnf(c_0_143,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_144,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p3(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | ~ p103(esk27_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_68]),c_0_41]) ).

cnf(c_0_145,plain,
    ( p102(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p104(esk27_1(esk18_1(esk11_0)))
    | ~ p103(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_120]) ).

cnf(c_0_146,plain,
    ( p103(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p104(esk27_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_113]),c_0_109]),c_0_61]) ).

cnf(c_0_147,plain,
    ( p102(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p104(esk17_1(esk27_1(esk18_1(esk11_0))))
    | ~ p103(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_110]) ).

cnf(c_0_148,plain,
    ( p103(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p104(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_81]),c_0_79]),c_0_41]) ).

cnf(c_0_149,plain,
    ( p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p104(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p3(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
    | ~ p103(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_73]),c_0_91]) ).

cnf(c_0_150,plain,
    ( p103(X1)
    | p3(X1)
    | ~ epred2_1(X1)
    | ~ p102(esk27_1(X1))
    | ~ p102(X1)
    | ~ p3(esk27_1(X1)) ),
    inference(spm,[status(thm)],[c_0_134,c_0_29]) ).

cnf(c_0_151,plain,
    ( p102(esk27_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_46]),c_0_111]),c_0_91]) ).

cnf(c_0_152,plain,
    ( p103(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p3(esk27_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_29]),c_0_111]),c_0_91]) ).

cnf(c_0_153,plain,
    ( p103(X1)
    | p3(X1)
    | ~ epred1_1(X1)
    | ~ p102(esk17_1(X1))
    | ~ p102(X1)
    | ~ p3(esk17_1(X1)) ),
    inference(spm,[status(thm)],[c_0_127,c_0_55]) ).

cnf(c_0_154,plain,
    ( p102(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0))))
    | ~ p103(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_103]) ).

cnf(c_0_155,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_58]),c_0_30]),c_0_44])]) ).

cnf(c_0_156,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p3(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | ~ p102(esk28_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_81]),c_0_49]) ).

cnf(c_0_157,plain,
    ( p102(esk27_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p102(esk18_1(esk11_0))
    | p103(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p103(esk28_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_46]),c_0_115]),c_0_74]) ).

cnf(c_0_158,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p3(esk27_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_29]),c_0_115]),c_0_74]) ).

cnf(c_0_159,plain,
    ( p102(esk27_1(esk18_1(esk28_1(esk18_1(esk11_0)))))
    | p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0))
    | p103(esk18_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_46]),c_0_117]),c_0_75]) ).

cnf(c_0_160,plain,
    ( p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0))
    | p103(esk18_1(esk28_1(esk18_1(esk11_0))))
    | p3(esk27_1(esk18_1(esk28_1(esk18_1(esk11_0))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_29]),c_0_117]),c_0_75]) ).

cnf(c_0_161,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p3(esk27_1(esk18_1(esk11_0)))
    | ~ p103(esk27_1(esk18_1(esk11_0)))
    | ~ p3(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_41]) ).

cnf(c_0_162,plain,
    ( p102(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | ~ p103(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_97]) ).

cnf(c_0_163,plain,
    ( p103(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_164,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p3(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | ~ p102(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_46]),c_0_30])]) ).

cnf(c_0_165,plain,
    ( p104(X1)
    | p3(X1)
    | ~ epred2_1(X1)
    | ~ p102(esk25_1(X1))
    | ~ p103(X1)
    | ~ p3(esk25_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_73]),c_0_82]) ).

cnf(c_0_166,plain,
    ( p102(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p104(esk27_1(esk18_1(esk11_0))) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_167,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p3(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_73]),c_0_109]),c_0_61]) ).

cnf(c_0_168,plain,
    ( p102(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p104(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_169,plain,
    ( p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p104(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p3(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_81]),c_0_79]),c_0_41]) ).

cnf(c_0_170,plain,
    ( p103(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p3(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_111]),c_0_91]) ).

cnf(c_0_171,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p3(esk28_1(esk18_1(esk11_0)))
    | ~ p102(esk28_1(esk18_1(esk11_0)))
    | ~ p3(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_115]),c_0_49]) ).

cnf(c_0_172,plain,
    ( p102(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
    | p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_173,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p3(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_58]),c_0_30]),c_0_44])]) ).

cnf(c_0_174,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p3(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_157]),c_0_158]),c_0_115]),c_0_74]) ).

cnf(c_0_175,plain,
    ( p102(X1)
    | ~ p3(esk18_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_176,plain,
    ( p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0))
    | p103(esk18_1(esk28_1(esk18_1(esk11_0))))
    | p3(esk18_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_159]),c_0_160]),c_0_117]),c_0_75]) ).

cnf(c_0_177,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p3(esk27_1(esk18_1(esk11_0)))
    | ~ p102(esk18_1(esk11_0))
    | ~ p3(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_46]),c_0_30])]) ).

cnf(c_0_178,plain,
    ( p105(X1)
    | p3(X1)
    | ~ epred2_1(X1)
    | ~ p102(esk23_1(X1))
    | ~ p102(X1)
    | ~ p104(X1)
    | ~ p3(esk23_1(X1)) ),
    inference(spm,[status(thm)],[c_0_134,c_0_60]) ).

cnf(c_0_179,plain,
    ( p102(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_180,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p3(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_181,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p3(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_109]),c_0_61]) ).

cnf(c_0_182,plain,
    ( p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p3(esk27_1(esk18_1(esk11_0)))
    | ~ p3(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_111]),c_0_79]),c_0_41]) ).

cnf(c_0_183,plain,
    ( p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p104(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p3(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_168]),c_0_169]),c_0_170]),c_0_91]) ).

cnf(c_0_184,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p3(esk28_1(esk18_1(esk11_0)))
    | ~ p3(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_58]),c_0_30]),c_0_44])]) ).

cnf(c_0_185,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p3(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_172]),c_0_173]),c_0_174]),c_0_74]) ).

cnf(c_0_186,plain,
    ( p102(X1)
    | ~ p103(esk18_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_187,plain,
    ( p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0))
    | p103(esk18_1(esk28_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_66]),c_0_49]) ).

cnf(c_0_188,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p3(esk27_1(esk18_1(esk11_0)))
    | ~ p3(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_189,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p3(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_181]),c_0_141]),c_0_61]) ).

cnf(c_0_190,plain,
    ( p103(X1)
    | ~ p104(esk17_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_191,plain,
    ( p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p104(esk17_1(esk27_1(esk18_1(esk11_0))))
    | p3(esk27_1(esk18_1(esk11_0))) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_192,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p104(esk17_1(esk28_1(esk18_1(esk11_0))))
    | p3(esk28_1(esk18_1(esk11_0))) ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_193,plain,
    ( p102(esk28_1(esk18_1(esk11_0)))
    | p102(esk18_1(esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_66]),c_0_49]) ).

cnf(c_0_194,plain,
    ( p103(esk18_1(esk11_0))
    | p3(esk18_1(esk11_0))
    | ~ p102(esk18_1(esk11_0))
    | ~ p3(esk27_1(esk18_1(esk11_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_79]),c_0_30])]) ).

cnf(c_0_195,plain,
    ( p104(X1)
    | ~ p105(esk15_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_196,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p105(esk15_1(esk27_1(esk18_1(esk11_0))))
    | p3(esk27_1(esk18_1(esk11_0))) ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_197,plain,
    ( p103(esk27_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0))
    | p3(esk27_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_79]),c_0_41]) ).

cnf(c_0_198,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0)))
    | p3(esk28_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_192]),c_0_193]),c_0_49]) ).

cnf(c_0_199,plain,
    ( p103(esk18_1(esk11_0))
    | p3(esk18_1(esk11_0))
    | ~ p3(esk27_1(esk18_1(esk11_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_35]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_200,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p3(esk27_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]),c_0_41]) ).

cnf(c_0_201,plain,
    ( p102(X1)
    | ~ p103(esk28_1(X1))
    | ~ p101(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_202,plain,
    ( p102(esk18_1(esk11_0))
    | p103(esk28_1(esk18_1(esk11_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_198]),c_0_30]),c_0_44])]) ).

cnf(c_0_203,plain,
    ( p103(X1)
    | ~ p104(esk27_1(X1))
    | ~ p102(X1)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_204,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk27_1(esk18_1(esk11_0)))
    | p3(esk18_1(esk11_0)) ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_205,plain,
    p102(esk18_1(esk11_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_30]),c_0_44])]) ).

cnf(c_0_206,plain,
    ( p103(esk18_1(esk11_0))
    | p3(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_30]),c_0_205])]) ).

cnf(c_0_207,plain,
    p103(esk18_1(esk11_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_206]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_208,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_207]),c_0_21]),c_0_22])]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL636+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Thu Aug 24 18:44:16 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 3.03/3.09  % Version  : CSE_E---1.5
% 3.03/3.09  % Problem  : theBenchmark.p
% 3.03/3.09  % Proof found
% 3.03/3.09  % SZS status Theorem for theBenchmark.p
% 3.03/3.09  % SZS output start Proof
% See solution above
% 3.03/3.11  % Total time : 2.497000 s
% 3.03/3.11  % SZS output end Proof
% 3.03/3.11  % Total time : 2.504000 s
%------------------------------------------------------------------------------