% Mizar problem: t59_sprect_5,sprect_5,1443,36 
fof(t59_sprect_5,conjecture,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(2)),A,1) = k35_pscomp_1(k5_topreal1(2,A))
          & k34_pscomp_1(k5_topreal1(2,A)) != k33_pscomp_1(k5_topreal1(2,A))
          & r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(2,A)))) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_pre_topc,antisymmetry_r2_hidden,cc1_arytm_3,cc1_relset_1,cc1_sprect_1,cc1_xreal_0,cc2_arytm_3,cc2_sprect_1,cc2_xreal_0,cc3_arytm_3,cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,connectedness_r1_xreal_0,dt_g1_pre_topc,dt_k15_euclid,dt_k1_card_1,dt_k1_finseq_6,dt_k1_numbers,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k2_zfmisc_1,dt_k30_pscomp_1,dt_k33_pscomp_1,dt_k34_pscomp_1,dt_k35_pscomp_1,dt_k3_finseq_1,dt_k4_finseq_4,dt_k5_finseq_4,dt_k5_numbers,dt_k5_ordinal2,dt_k5_topreal1,dt_l1_pre_topc,dt_l1_struct_0,dt_m1_finseq_1,dt_m1_relset_1,dt_m1_subset_1,dt_m2_finseq_1,dt_m2_relset_1,dt_m2_subset_1,dt_u1_pre_topc,dt_u1_struct_0,existence_l1_pre_topc,existence_l1_struct_0,existence_m1_finseq_1,existence_m1_relset_1,existence_m1_subset_1,existence_m2_finseq_1,existence_m2_relset_1,existence_m2_subset_1,fc1_revrot_1,fc1_sprect_1,fc1_xboole_0,fc2_revrot_1,fc2_sprect_1,fc3_revrot_1,fc3_sprect_1,fc3_sprect_2,fc4_finseq_6,fc4_revrot_1,fc5_finseq_6,fc5_revrot_1,fc6_revrot_1,fc7_revrot_1,fc8_revrot_1,free_g1_pre_topc,rc1_arytm_3,rc1_finseq_6,rc1_revrot_1,rc1_sprect_1,rc1_sprect_2,rc1_xboole_0,rc1_xreal_0,rc2_finseq_6,rc2_xboole_0,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,redefinition_k3_finseq_1,redefinition_k5_numbers,redefinition_m2_finseq_1,redefinition_m2_relset_1,redefinition_m2_subset_1,reflexivity_r1_tarski,reflexivity_r1_xreal_0,spc1_boole,spc1_numerals,spc2_boole,spc2_numerals,t12_sprect_5,t16_revrot_1,t1_real,t1_subset,t26_sprect_5,t27_sprect_5,t2_real,t2_subset,t33_revrot_1,t38_goboard7,t3_real,t3_subset,t44_sprect_2,t47_sprect_2,t49_sprect_2,t4_real,t4_subset,t50_sprect_2,t5_real,t5_subset,t6_boole,t6_real,t7_boole,t7_real,t8_boole,t8_real,t98_finseq_6]),
    [file(sprect_5,t59_sprect_5)]).

fof(abstractness_v1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( v1_pre_topc(A)
       => A = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) ) ) ),
    file(pre_topc,v1_pre_topc),
    []).

fof(antisymmetry_r2_hidden,axiom,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    []).

fof(cc1_arytm_3,axiom,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_ordinal1(B)
            & v2_ordinal1(B)
            & v3_ordinal1(B) ) ) ) ),
    file(arytm_3,cc1_arytm_3),
    []).

fof(cc1_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
     => v1_relat_1(C) ) ),
    file(relset_1,cc1_relset_1),
    []).

fof(cc1_sprect_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & ~ v5_seqm_3(A) )
     => ( ~ v1_xboole_0(A)
        & v1_relat_1(A)
        & v1_funct_1(A)
        & ~ v1_realset1(A) ) ) ),
    file(sprect_1,cc1_sprect_1),
    []).

fof(cc1_xreal_0,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_xreal_0(A) ) ),
    file(xreal_0,cc1_xreal_0),
    []).

fof(cc2_arytm_3,axiom,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v3_ordinal1(A) )
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A) ) ) ),
    file(arytm_3,cc2_arytm_3),
    []).

fof(cc2_sprect_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_realset1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v5_seqm_3(A) ) ) ),
    file(sprect_1,cc2_sprect_1),
    []).

fof(cc2_xreal_0,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => v1_xcmplx_0(A) ) ),
    file(xreal_0,cc2_xreal_0),
    []).

fof(cc3_arytm_3,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_ordinal2)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A) ) ) ),
    file(arytm_3,cc3_arytm_3),
    []).

fof(cc3_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc3_xreal_0),
    []).

fof(cc4_xreal_0,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v2_xreal_0(A) ) ) ),
    file(xreal_0,cc4_xreal_0),
    []).

fof(cc5_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) ) ) ),
    file(xreal_0,cc5_xreal_0),
    []).

fof(cc6_xreal_0,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v3_xreal_0(A) ) ) ),
    file(xreal_0,cc6_xreal_0),
    []).

fof(cc7_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v1_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc7_xreal_0),
    []).

fof(cc8_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(xreal_0,cc8_xreal_0),
    []).

fof(connectedness_r1_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( r1_xreal_0(A,B)
        | r1_xreal_0(B,A) ) ) ),
    file(xreal_0,r1_xreal_0),
    []).

fof(dt_g1_pre_topc,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( v1_pre_topc(g1_pre_topc(A,B))
        & l1_pre_topc(g1_pre_topc(A,B)) ) ) ),
    file(pre_topc,g1_pre_topc),
    []).

fof(dt_k15_euclid,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_pre_topc(k15_euclid(A))
        & v2_pre_topc(k15_euclid(A))
        & l1_pre_topc(k15_euclid(A)) ) ) ),
    file(euclid,k15_euclid),
    []).

fof(dt_k1_card_1,axiom,(
    ! [A] : v1_card_1(k1_card_1(A)) ),
    file(card_1,k1_card_1),
    []).

fof(dt_k1_finseq_6,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_finseq_1(B,A)
        & m1_subset_1(C,A) )
     => m2_finseq_1(k1_finseq_6(A,B,C),A) ) ),
    file(finseq_6,k1_finseq_6),
    []).

fof(dt_k1_numbers,axiom,(
    $true ),
    file(numbers,k1_numbers),
    []).

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    []).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    []).

fof(dt_k2_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_1),
    []).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    []).

fof(dt_k30_pscomp_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2))))
     => m1_subset_1(k30_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) ),
    file(pscomp_1,k30_pscomp_1),
    []).

fof(dt_k33_pscomp_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2))))
     => m1_subset_1(k33_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) ),
    file(pscomp_1,k33_pscomp_1),
    []).

fof(dt_k34_pscomp_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2))))
     => m1_subset_1(k34_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) ),
    file(pscomp_1,k34_pscomp_1),
    []).

fof(dt_k35_pscomp_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2))))
     => m1_subset_1(k35_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) ),
    file(pscomp_1,k35_pscomp_1),
    []).

fof(dt_k3_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => m2_subset_1(k3_finseq_1(A),k1_numbers,k5_numbers) ) ),
    file(finseq_1,k3_finseq_1),
    []).

fof(dt_k4_finseq_4,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(C)
        & m1_relset_1(C,A,B) )
     => m1_subset_1(k4_finseq_4(A,B,C,D),B) ) ),
    file(finseq_4,k4_finseq_4),
    []).

fof(dt_k5_finseq_4,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => m2_subset_1(k5_finseq_4(A,B),k1_numbers,k5_numbers) ) ),
    file(finseq_4,k5_finseq_4),
    []).

fof(dt_k5_numbers,axiom,(
    m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)) ),
    file(numbers,k5_numbers),
    []).

fof(dt_k5_ordinal2,axiom,(
    $true ),
    file(ordinal2,k5_ordinal2),
    []).

fof(dt_k5_topreal1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_finseq_1(B,u1_struct_0(k15_euclid(A))) )
     => m1_subset_1(k5_topreal1(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) ),
    file(topreal1,k5_topreal1),
    []).

fof(dt_l1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => l1_struct_0(A) ) ),
    file(pre_topc,l1_pre_topc),
    []).

fof(dt_l1_struct_0,axiom,(
    $true ),
    file(struct_0,l1_struct_0),
    []).

fof(dt_m1_finseq_1,axiom,(
    ! [A,B] : 
      ( m1_finseq_1(B,A)
     => ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) ) ) ),
    file(finseq_1,m1_finseq_1),
    []).

fof(dt_m1_relset_1,axiom,(
    $true ),
    file(relset_1,m1_relset_1),
    []).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

fof(dt_m2_finseq_1,axiom,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
     => ( v1_funct_1(B)
        & v1_finseq_1(B)
        & m2_relset_1(B,k5_numbers,A) ) ) ),
    file(finseq_1,m2_finseq_1),
    []).

fof(dt_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(dt_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
         => m1_subset_1(C,A) ) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(dt_u1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ),
    file(pre_topc,u1_pre_topc),
    []).

fof(dt_u1_struct_0,axiom,(
    $true ),
    file(struct_0,u1_struct_0),
    []).

fof(existence_l1_pre_topc,axiom,(
    ? [A] : l1_pre_topc(A) ),
    file(pre_topc,l1_pre_topc),
    []).

fof(existence_l1_struct_0,axiom,(
    ? [A] : l1_struct_0(A) ),
    file(struct_0,l1_struct_0),
    []).

fof(existence_m1_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m1_finseq_1(B,A) ),
    file(finseq_1,m1_finseq_1),
    []).

fof(existence_m1_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m1_relset_1(C,A,B) ),
    file(relset_1,m1_relset_1),
    []).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

fof(existence_m2_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m2_finseq_1(B,A) ),
    file(finseq_1,m2_finseq_1),
    []).

fof(existence_m2_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    []).

fof(existence_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ? [C] : m2_subset_1(C,A,B) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(fc1_revrot_1,axiom,(
    ! [A] : 
      ( ( ~ v3_realset2(A)
        & l1_struct_0(A) )
     => ( ~ v1_xboole_0(u1_struct_0(A))
        & ~ v1_realset1(u1_struct_0(A)) ) ) ),
    file(revrot_1,fc1_revrot_1),
    []).

fof(fc1_sprect_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v5_seqm_3(A) )
     => v1_realset1(k2_relat_1(A)) ) ),
    file(sprect_1,fc1_sprect_1),
    []).

fof(fc1_xboole_0,axiom,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    []).

fof(fc2_revrot_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_realset1(A)
        & m1_subset_1(B,A)
        & ~ v5_seqm_3(C)
        & v1_finseq_6(C,A)
        & m1_finseq_1(C,A) )
     => ( ~ v1_xboole_0(k1_finseq_6(A,C,B))
        & v1_relat_1(k1_finseq_6(A,C,B))
        & v1_funct_1(k1_finseq_6(A,C,B))
        & ~ v5_seqm_3(k1_finseq_6(A,C,B))
        & v1_finset_1(k1_finseq_6(A,C,B))
        & v1_finseq_1(k1_finseq_6(A,C,B))
        & v1_finseq_6(k1_finseq_6(A,C,B),A)
        & ~ v1_realset1(k1_finseq_6(A,C,B)) ) ) ),
    file(revrot_1,fc2_revrot_1),
    []).

fof(fc2_sprect_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & ~ v1_realset1(B)
        & m1_finseq_1(B,u1_struct_0(k15_euclid(A))) )
     => ~ v1_xboole_0(k5_topreal1(A,B)) ) ),
    file(sprect_1,fc2_sprect_1),
    []).

fof(fc3_revrot_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(A,k5_numbers) )
     => ( ~ v3_struct_0(k15_euclid(A))
        & v1_pre_topc(k15_euclid(A))
        & v2_pre_topc(k15_euclid(A))
        & ~ v3_realset2(k15_euclid(A)) ) ) ),
    file(revrot_1,fc3_revrot_1),
    []).

fof(fc3_sprect_1,axiom,(
    ! [A] : 
      ( m1_finseq_1(A,u1_struct_0(k15_euclid(2)))
     => v6_compts_1(k5_topreal1(2,A),k15_euclid(2)) ) ),
    file(sprect_1,fc3_sprect_1),
    []).

fof(fc3_sprect_2,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) )
     => ( ~ v1_xboole_0(k5_topreal1(2,A))
        & v1_topreal2(k5_topreal1(2,A))
        & v6_compts_1(k5_topreal1(2,A),k15_euclid(2)) ) ) ),
    file(sprect_2,fc3_sprect_2),
    []).

fof(fc4_finseq_6,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_finseq_1(B,A)
        & m1_subset_1(C,A) )
     => ( ~ v1_xboole_0(k1_finseq_6(A,B,C))
        & v1_relat_1(k1_finseq_6(A,B,C))
        & v1_funct_1(k1_finseq_6(A,B,C))
        & v1_finset_1(k1_finseq_6(A,B,C))
        & v1_finseq_1(k1_finseq_6(A,B,C)) ) ) ),
    file(finseq_6,fc4_finseq_6),
    []).

fof(fc4_revrot_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2)))
        & v1_topreal1(B)
        & v1_finseq_6(B,u1_struct_0(k15_euclid(2)))
        & m1_finseq_1(B,u1_struct_0(k15_euclid(2))) )
     => ( v1_relat_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_funct_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finset_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finseq_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_topreal1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A)) ) ) ),
    file(revrot_1,fc4_revrot_1),
    []).

fof(fc5_finseq_6,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & ~ v1_xboole_0(C)
        & v1_finseq_6(C,A)
        & m1_finseq_1(C,A) )
     => ( ~ v1_xboole_0(k1_finseq_6(A,C,B))
        & v1_relat_1(k1_finseq_6(A,C,B))
        & v1_funct_1(k1_finseq_6(A,C,B))
        & v1_finset_1(k1_finseq_6(A,C,B))
        & v1_finseq_1(k1_finseq_6(A,C,B))
        & v1_finseq_6(k1_finseq_6(A,C,B),A) ) ) ),
    file(finseq_6,fc5_finseq_6),
    []).

fof(fc5_revrot_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2)))
        & v1_finseq_6(B,u1_struct_0(k15_euclid(2)))
        & v1_goboard5(B)
        & m1_finseq_1(B,u1_struct_0(k15_euclid(2))) )
     => ( v1_relat_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_funct_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finset_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finseq_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A)) ) ) ),
    file(revrot_1,fc5_revrot_1),
    []).

fof(fc6_revrot_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2)))
        & ~ v1_xboole_0(B)
        & ~ v5_seqm_3(B)
        & v1_topreal1(B)
        & v2_topreal1(B)
        & v1_finseq_6(B,u1_struct_0(k15_euclid(2)))
        & v1_goboard5(B)
        & v2_goboard5(B)
        & m1_finseq_1(B,u1_struct_0(k15_euclid(2))) )
     => ( ~ v1_xboole_0(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_relat_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_funct_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & ~ v5_seqm_3(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finset_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finseq_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_topreal1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v2_topreal1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finseq_6(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A),u1_struct_0(k15_euclid(2)))
        & v1_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & ~ v1_realset1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A)) ) ) ),
    file(revrot_1,fc6_revrot_1),
    []).

fof(fc7_revrot_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2)))
        & ~ v1_xboole_0(B)
        & v1_finseq_6(B,u1_struct_0(k15_euclid(2)))
        & v2_goboard5(B)
        & m1_finseq_1(B,u1_struct_0(k15_euclid(2))) )
     => ( ~ v1_xboole_0(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_relat_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_funct_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finset_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finseq_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finseq_6(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A),u1_struct_0(k15_euclid(2)))
        & v2_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A)) ) ) ),
    file(revrot_1,fc7_revrot_1),
    []).

fof(fc8_revrot_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2)))
        & ~ v1_xboole_0(B)
        & ~ v5_seqm_3(B)
        & v1_topreal1(B)
        & v2_topreal1(B)
        & v1_finseq_6(B,u1_struct_0(k15_euclid(2)))
        & v1_goboard5(B)
        & v2_goboard5(B)
        & v1_sprect_2(B)
        & m1_finseq_1(B,u1_struct_0(k15_euclid(2))) )
     => ( ~ v1_xboole_0(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_relat_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_funct_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & ~ v5_seqm_3(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finset_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finseq_1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_topreal1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v2_topreal1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_finseq_6(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A),u1_struct_0(k15_euclid(2)))
        & v1_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v2_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & v1_sprect_2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A))
        & ~ v1_realset1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A)) ) ) ),
    file(revrot_1,fc8_revrot_1),
    []).

fof(free_g1_pre_topc,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ! [C,D] : 
          ( g1_pre_topc(A,B) = g1_pre_topc(C,D)
         => ( A = C
            & B = D ) ) ) ),
    file(pre_topc,g1_pre_topc),
    []).

fof(rc1_arytm_3,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal2(A) ) ),
    file(arytm_3,rc1_arytm_3),
    []).

fof(rc1_finseq_6,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_finseq_1(B,A)
          & ~ v1_xboole_0(B)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_finset_1(B)
          & v1_finseq_1(B)
          & v1_realset1(B)
          & v1_finseq_6(B,A) ) ) ),
    file(finseq_6,rc1_finseq_6),
    []).

fof(rc1_revrot_1,axiom,(
    ! [A] : 
      ( ~ v1_realset1(A)
     => ? [B] : 
          ( m1_finseq_1(B,A)
          & ~ v1_xboole_0(B)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & ~ v5_seqm_3(B)
          & v1_finset_1(B)
          & v1_finseq_1(B)
          & v1_finseq_6(B,A)
          & ~ v1_realset1(B) ) ) ),
    file(revrot_1,rc1_revrot_1),
    []).

fof(rc1_sprect_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A)
      & v5_seqm_3(A) ) ),
    file(sprect_1,rc1_sprect_1),
    []).

fof(rc1_sprect_2,axiom,(
    ? [A] : 
      ( m1_finseq_1(A,u1_struct_0(k15_euclid(2)))
      & ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A)
      & v1_topreal1(A)
      & v2_topreal1(A)
      & v1_finseq_6(A,u1_struct_0(k15_euclid(2)))
      & v1_goboard5(A)
      & v2_goboard5(A)
      & ~ v1_realset1(A)
      & ~ v5_seqm_3(A)
      & v1_sprect_2(A) ) ),
    file(sprect_2,rc1_sprect_2),
    []).

fof(rc1_xboole_0,axiom,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    []).

fof(rc1_xreal_0,axiom,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(xreal_0,rc1_xreal_0),
    []).

fof(rc2_finseq_6,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_finseq_1(B,A)
          & ~ v1_xboole_0(B)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_finset_1(B)
          & v1_finseq_1(B)
          & ~ v1_realset1(B)
          & v1_finseq_6(B,A) ) ) ),
    file(finseq_6,rc2_finseq_6),
    []).

fof(rc2_xboole_0,axiom,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    []).

fof(rc2_xreal_0,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc2_xreal_0),
    []).

fof(rc3_xreal_0,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & v3_xreal_0(A) ) ),
    file(xreal_0,rc3_xreal_0),
    []).

fof(rc4_xreal_0,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc4_xreal_0),
    []).

fof(redefinition_k3_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => k3_finseq_1(A) = k1_card_1(A) ) ),
    file(finseq_1,k3_finseq_1),
    []).

fof(redefinition_k5_numbers,axiom,(
    k5_numbers = k5_ordinal2 ),
    file(numbers,k5_numbers),
    []).

fof(redefinition_m2_finseq_1,axiom,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
    <=> m1_finseq_1(B,A) ) ),
    file(finseq_1,m2_finseq_1),
    []).

fof(redefinition_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(redefinition_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(reflexivity_r1_tarski,axiom,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    []).

fof(reflexivity_r1_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => r1_xreal_0(A,A) ) ),
    file(xreal_0,r1_xreal_0),
    []).

fof(spc1_boole,axiom,(
    ~ v1_xboole_0(1) ),
    file(boole,spc1_boole),
    []).

fof(spc1_numerals,axiom,
    ( v2_xreal_0(1)
    & m1_subset_1(1,k5_numbers) ),
    file(numerals,spc1_numerals),
    []).

fof(spc2_boole,axiom,(
    ~ v1_xboole_0(2) ),
    file(boole,spc2_boole),
    []).

fof(spc2_numerals,axiom,
    ( v2_xreal_0(2)
    & m1_subset_1(2,k5_numbers) ),
    file(numerals,spc2_numerals),
    []).

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(2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k15_euclid(2)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k15_euclid(2)))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(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(2)),A,D),C),k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(2)),A,D),B)) ) ) ) ) ) ),
    file(sprect_5,t12_sprect_5),
    []).

fof(t16_revrot_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( v1_finseq_6(B,A)
            & m2_finseq_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,A)
             => ( ! [D] : 
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ~ ( ~ r1_xreal_0(D,1)
                        & ~ r1_xreal_0(k3_finseq_1(B),D)
                        & k4_finseq_4(k5_numbers,A,B,D) = k4_finseq_4(k5_numbers,A,B,1) ) )
               => k1_finseq_6(A,k1_finseq_6(A,B,C),k4_finseq_4(k5_numbers,A,B,1)) = B ) ) ) ) ),
    file(revrot_1,t16_revrot_1),
    []).

fof(t1_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(A,B)
              & v2_xreal_0(A) )
           => v2_xreal_0(B) ) ) ) ),
    file(real,t1_real),
    []).

fof(t1_subset,axiom,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ) ),
    file(subset,t1_subset),
    []).

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(2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(2)),A,1) = k30_pscomp_1(k5_topreal1(2,A))
          & k33_pscomp_1(k5_topreal1(2,A)) != k34_pscomp_1(k5_topreal1(2,A))
          & r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(2,A)))) ) ) ),
    file(sprect_5,t26_sprect_5),
    []).

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(2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & v1_sprect_2(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) )
     => ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(2)),A,1) = k30_pscomp_1(k5_topreal1(2,A))
          & r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(2,A)))) ) ) ),
    file(sprect_5,t27_sprect_5),
    []).

fof(t2_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(A,B)
              & v3_xreal_0(B) )
           => v3_xreal_0(A) ) ) ) ),
    file(real,t2_real),
    []).

fof(t2_subset,axiom,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    []).

fof(t33_revrot_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(k15_euclid(2)))
     => ! [B] : 
          ( ( v1_finseq_6(B,u1_struct_0(k15_euclid(2)))
            & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) )
         => k5_topreal1(2,k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A)) = k5_topreal1(2,B) ) ) ),
    file(revrot_1,t33_revrot_1),
    []).

fof(t38_goboard7,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) )
     => ! [B] : 
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] : 
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ~ ( r1_xreal_0(1,B)
                  & ~ r1_xreal_0(C,B)
                  & ~ r1_xreal_0(k3_finseq_1(A),C)
                  & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(2)),A,B) = k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(2)),A,C) ) ) ) ) ),
    file(goboard7,t38_goboard7),
    []).

fof(t3_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( r1_xreal_0(A,B)
              & ~ v3_xreal_0(A)
              & v3_xreal_0(B) ) ) ) ),
    file(real,t3_real),
    []).

fof(t3_subset,axiom,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    []).

fof(t44_sprect_2,axiom,(
    ! [A] : 
      ( ( ~ v1_realset1(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) )
     => r2_hidden(k33_pscomp_1(k5_topreal1(2,A)),k2_relat_1(A)) ) ),
    file(sprect_2,t44_sprect_2),
    []).

fof(t47_sprect_2,axiom,(
    ! [A] : 
      ( ( ~ v1_realset1(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) )
     => r2_hidden(k30_pscomp_1(k5_topreal1(2,A)),k2_relat_1(A)) ) ),
    file(sprect_2,t47_sprect_2),
    []).

fof(t49_sprect_2,axiom,(
    ! [A] : 
      ( ( ~ v1_realset1(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) )
     => r2_hidden(k35_pscomp_1(k5_topreal1(2,A)),k2_relat_1(A)) ) ),
    file(sprect_2,t49_sprect_2),
    []).

fof(t4_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( r1_xreal_0(A,B)
              & ~ v2_xreal_0(B)
              & v2_xreal_0(A) ) ) ) ),
    file(real,t4_real),
    []).

fof(t4_subset,axiom,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    []).

fof(t50_sprect_2,axiom,(
    ! [A] : 
      ( ( ~ v1_realset1(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) )
     => r2_hidden(k34_pscomp_1(k5_topreal1(2,A)),k2_relat_1(A)) ) ),
    file(sprect_2,t50_sprect_2),
    []).

fof(t5_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( r1_xreal_0(A,B)
           => ( v1_xboole_0(B)
              | v3_xreal_0(A)
              | v2_xreal_0(B) ) ) ) ) ),
    file(real,t5_real),
    []).

fof(t5_subset,axiom,(
    ! [A,B,C] : ~ ( r2_hidden(A,B)
      & m1_subset_1(B,k1_zfmisc_1(C))
      & v1_xboole_0(C) ) ),
    file(subset,t5_subset),
    []).

fof(t6_boole,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    []).

fof(t6_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( r1_xreal_0(A,B)
           => ( v1_xboole_0(A)
              | v2_xreal_0(B)
              | v3_xreal_0(A) ) ) ) ) ),
    file(real,t6_real),
    []).

fof(t7_boole,axiom,(
    ! [A,B] : ~ ( r2_hidden(A,B)
      & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    []).

fof(t7_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( ~ r1_xreal_0(A,B)
              & ~ v2_xreal_0(A)
              & ~ v3_xreal_0(B) ) ) ) ),
    file(real,t7_real),
    []).

fof(t8_boole,axiom,(
    ! [A,B] : ~ ( v1_xboole_0(A)
      & A != B
      & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    []).

fof(t8_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( ~ r1_xreal_0(A,B)
              & ~ v3_xreal_0(B)
              & ~ v2_xreal_0(A) ) ) ) ),
    file(real,t8_real),
    []).

fof(t98_finseq_6,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ! [C] : 
              ( m2_finseq_1(C,A)
             => ( r2_hidden(B,k2_relat_1(C))
               => k4_finseq_4(k5_numbers,A,k1_finseq_6(A,C,B),1) = B ) ) ) ) ),
    file(finseq_6,t98_finseq_6),
    []).