SET007 Axioms: SET007+675.ax


%------------------------------------------------------------------------------
% File     : SET007+675 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Again on the Order on a Special Polygon
% Version  : [Urb08] axioms.
% English  :

% Refs     : [Mat90] Matuszewski (1990), Formalized Mathematics
%          : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
%          : [Urb08] Urban (2006), Email to G. Sutcliffe
% Source   : [Urb08]
% Names    : sprect_5 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   73 (   0 unit)
%            Number of atoms       :  807 (  85 equality)
%            Maximal formula depth :   18 (  11 average)
%            Number of connectives :  971 ( 237 ~  ;   4  |; 615  &)
%                                         (   0 <=>; 115 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   14 (   0 propositional; 1-2 arity)
%            Number of functors    :   26 (   3 constant; 0-4 arity)
%            Number of variables   :  107 (   0 singleton; 107 !;   0 ?)
%            Maximal term depth    :    5 (   2 average)
% SPC      : 

% Comments : The individual reference can be found in [Mat90] by looking for
%            the name provided by [Urb08].
%          : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
%          : These set theory axioms are used in encodings of problems in
%            various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(t1_sprect_5,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( m2_finseq_1(B,A)
         => ! [C] :
              ( m1_subset_1(C,A)
             => ! [D] :
                  ( m1_subset_1(D,A)
                 => ( r2_hidden(C,k2_relat_1(k16_finseq_1(A,B,k5_finseq_4(B,D))))
                   => r1_xreal_0(k5_finseq_4(B,C),k5_finseq_4(B,D)) ) ) ) ) ) )).

fof(t2_sprect_5,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( m2_finseq_1(B,A)
         => ! [C] :
              ( m1_subset_1(C,A)
             => ! [D] :
                  ( m1_subset_1(D,A)
                 => ( ( r2_hidden(C,k2_relat_1(B))
                      & r2_hidden(D,k2_relat_1(B))
                      & r1_xreal_0(k5_finseq_4(B,C),k5_finseq_4(B,D)) )
                   => k5_finseq_4(k2_finseq_5(A,B,C),D) = k2_xcmplx_0(k6_xcmplx_0(k5_finseq_4(B,D),k5_finseq_4(B,C)),np__1) ) ) ) ) ) )).

fof(t3_sprect_5,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( m2_finseq_1(B,A)
         => ! [C] :
              ( m1_subset_1(C,A)
             => ! [D] :
                  ( m1_subset_1(D,A)
                 => ( ( r2_hidden(C,k2_relat_1(B))
                      & r2_hidden(D,k2_relat_1(B))
                      & r1_xreal_0(k5_finseq_4(B,C),k5_finseq_4(B,D)) )
                   => k5_finseq_4(k1_finseq_5(A,B,D),C) = k5_finseq_4(B,C) ) ) ) ) ) )).

fof(t4_sprect_5,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( m2_finseq_1(B,A)
         => ! [C] :
              ( m1_subset_1(C,A)
             => ! [D] :
                  ( m1_subset_1(D,A)
                 => ( ( r2_hidden(C,k2_relat_1(B))
                      & r2_hidden(D,k2_relat_1(B))
                      & r1_xreal_0(k5_finseq_4(B,C),k5_finseq_4(B,D)) )
                   => k5_finseq_4(k1_finseq_6(A,B,C),D) = k2_xcmplx_0(k6_xcmplx_0(k5_finseq_4(B,D),k5_finseq_4(B,C)),np__1) ) ) ) ) ) )).

fof(t5_sprect_5,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( m2_finseq_1(B,A)
         => ! [C] :
              ( m1_subset_1(C,A)
             => ! [D] :
                  ( m1_subset_1(D,A)
                 => ! [E] :
                      ( m1_subset_1(E,A)
                     => ~ ( r2_hidden(C,k2_relat_1(B))
                          & r2_hidden(D,k2_relat_1(B))
                          & r2_hidden(E,k2_relat_1(B))
                          & r1_xreal_0(k5_finseq_4(B,C),k5_finseq_4(B,D))
                          & ~ r1_xreal_0(k5_finseq_4(B,E),k5_finseq_4(B,D))
                          & r1_xreal_0(k5_finseq_4(k1_finseq_6(A,B,C),E),k5_finseq_4(k1_finseq_6(A,B,C),D)) ) ) ) ) ) ) )).

fof(t6_sprect_5,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( m2_finseq_1(B,A)
         => ! [C] :
              ( m1_subset_1(C,A)
             => ! [D] :
                  ( m1_subset_1(D,A)
                 => ! [E] :
                      ( m1_subset_1(E,A)
                     => ( ( r2_hidden(C,k2_relat_1(B))
                          & r2_hidden(D,k2_relat_1(B))
                          & r2_hidden(E,k2_relat_1(B))
                          & r1_xreal_0(k5_finseq_4(B,D),k5_finseq_4(B,E)) )
                       => ( r1_xreal_0(k5_finseq_4(B,D),k5_finseq_4(B,C))
                          | r1_xreal_0(k5_finseq_4(k1_finseq_6(A,B,C),D),k5_finseq_4(k1_finseq_6(A,B,C),E)) ) ) ) ) ) ) ) )).

fof(t7_sprect_5,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( v1_finseq_6(B,A)
            & m2_finseq_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,A)
             => ~ ( r2_hidden(C,k2_relat_1(B))
                  & ~ r1_xreal_0(k3_finseq_1(B),np__1)
                  & r1_xreal_0(k3_finseq_1(B),k5_finseq_4(B,C)) ) ) ) ) )).

fof(t8_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => v2_funct_1(k1_rfinseq(u1_struct_0(k15_euclid(np__2)),A,np__1)) ) )).

fof(t9_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( r2_hidden(B,k2_relat_1(A))
           => ( r1_xreal_0(k5_finseq_4(A,B),np__1)
              | k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,B),k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1)) = k6_xcmplx_0(k1_nat_1(k3_finseq_1(A),np__1),k5_finseq_4(A,B)) ) ) ) ) )).

fof(t10_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ( ( r2_hidden(B,k2_relat_1(A))
                  & r2_hidden(C,k2_relat_1(A)) )
               => ( r1_xreal_0(k5_finseq_4(A,C),k5_finseq_4(A,B))
                  | k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,C),B) = k6_xcmplx_0(k1_nat_1(k3_finseq_1(A),k5_finseq_4(A,B)),k5_finseq_4(A,C)) ) ) ) ) ) )).

fof(t11_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ~ ( r2_hidden(B,k2_relat_1(A))
                      & r2_hidden(C,k2_relat_1(A))
                      & r2_hidden(D,k2_relat_1(A))
                      & ~ r1_xreal_0(k5_finseq_4(A,C),k5_finseq_4(A,B))
                      & ~ r1_xreal_0(k5_finseq_4(A,D),k5_finseq_4(A,C))
                      & r1_xreal_0(k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,C),B),k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,C),D)) ) ) ) ) ) )).

fof(t12_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ~ ( r2_hidden(B,k2_relat_1(A))
                      & r2_hidden(C,k2_relat_1(A))
                      & r2_hidden(D,k2_relat_1(A))
                      & ~ r1_xreal_0(k5_finseq_4(A,C),k5_finseq_4(A,B))
                      & ~ r1_xreal_0(k5_finseq_4(A,D),k5_finseq_4(A,C))
                      & r1_xreal_0(k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,D),C),k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,D),B)) ) ) ) ) ) )).

fof(t13_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ( ( r2_hidden(B,k2_relat_1(A))
                      & r2_hidden(C,k2_relat_1(A))
                      & r2_hidden(D,k2_relat_1(A))
                      & r1_xreal_0(k5_finseq_4(A,B),k5_finseq_4(A,C)) )
                   => ( r1_xreal_0(k5_finseq_4(A,D),k5_finseq_4(A,C))
                      | r1_xreal_0(k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,D),B),k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,D),C)) ) ) ) ) ) ) )).

fof(t14_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) )).

fof(t15_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) )).

fof(t16_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) )).

fof(t17_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) )).

fof(t18_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) )).

fof(t19_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) )).

fof(t20_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) )).

fof(t21_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) )).

fof(t22_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t23_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),np__1) ) ) )).

fof(t24_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
          & k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t25_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t26_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
          & k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t27_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t28_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
          & k35_pscomp_1(k5_topreal1(np__2,A)) != k36_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t29_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
          & k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t30_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t31_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),np__1) ) ) )).

fof(t32_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
          & k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t33_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t34_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
          & k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t35_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t36_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
          & k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t37_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
          & k35_pscomp_1(k5_topreal1(np__2,A)) != k36_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t38_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t39_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),np__1) ) ) )).

fof(t40_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
          & k36_pscomp_1(k5_topreal1(np__2,A)) != k35_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t41_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t42_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
          & k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t43_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t44_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
          & k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t45_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
          & k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t46_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
          & k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t47_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t48_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
          & k35_pscomp_1(k5_topreal1(np__2,A)) != k36_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t49_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t50_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
          & k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t51_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t52_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
          & k32_pscomp_1(k5_topreal1(np__2,A)) != k31_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t53_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
          & k35_pscomp_1(k5_topreal1(np__2,A)) != k36_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t54_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t55_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
          & k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t56_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t57_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
          & k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t58_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t59_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
          & k34_pscomp_1(k5_topreal1(np__2,A)) != k33_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t60_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
          & k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t61_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t62_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
          & k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t63_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t64_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
          & k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t65_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t66_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
          & k36_pscomp_1(k5_topreal1(np__2,A)) != k35_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t67_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
          & k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t68_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t69_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
          & k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t70_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t71_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
          & k35_pscomp_1(k5_topreal1(np__2,A)) != k36_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t72_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).

fof(t73_sprect_5,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
          & k30_pscomp_1(k5_topreal1(np__2,A)) != k37_pscomp_1(k5_topreal1(np__2,A))
          & r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) )).
%------------------------------------------------------------------------------