% Mizar problem: t30_circtrm1,circtrm1,1491,29 
fof(t30_circtrm1,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & l1_msualg_1(C) )
             => ( ( r2_circtrm1(A,B)
                  & r2_circtrm1(B,C) )
               => r2_circtrm1(A,C) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[cc2_instalg1,cc3_instalg1,cc4_instalg1,cc5_instalg1,d10_circtrm1,dt_k5_relat_1,dt_l1_msualg_1,dt_l1_struct_0,existence_l1_msualg_1,existence_l1_struct_0,fc11_circtrm1,fc1_funct_1,rc1_circcomb,rc1_funct_1,rc1_instalg1,rc3_funct_1,rc3_struct_0,reflexivity_r2_circtrm1,symmetry_r2_circtrm1,t28_circtrm1]),
    [file(circtrm1,t30_circtrm1)]).

fof(cc2_instalg1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( ~ v3_struct_0(A)
       => v1_instalg1(A) ) ) ),
    file(instalg1,cc2_instalg1),
    []).

fof(cc3_instalg1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( v2_msualg_1(A)
       => v1_instalg1(A) ) ) ),
    file(instalg1,cc3_instalg1),
    []).

fof(cc4_instalg1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( ( v3_struct_0(A)
          & v1_instalg1(A) )
       => v2_msualg_1(A) ) ) ),
    file(instalg1,cc4_instalg1),
    []).

fof(cc5_instalg1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( ( ~ v2_msualg_1(A)
          & v1_instalg1(A) )
       => ~ v3_struct_0(A) ) ) ),
    file(instalg1,cc5_instalg1),
    []).

fof(d10_circtrm1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ( r2_circtrm1(A,B)
          <=> ? [C] : 
                ( v1_relat_1(C)
                & v1_funct_1(C)
                & v2_funct_1(C)
                & ? [D] : 
                    ( v1_relat_1(D)
                    & v1_funct_1(D)
                    & v2_funct_1(D)
                    & r1_circtrm1(A,B,C,D) ) ) ) ) ) ),
    file(circtrm1,d10_circtrm1),
    []).

fof(dt_k5_relat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_relat_1(B) )
     => v1_relat_1(k5_relat_1(A,B)) ) ),
    file(relat_1,k5_relat_1),
    []).

fof(dt_l1_msualg_1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => l1_struct_0(A) ) ),
    file(msualg_1,l1_msualg_1),
    []).

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

fof(existence_l1_msualg_1,axiom,(
    ? [A] : l1_msualg_1(A) ),
    file(msualg_1,l1_msualg_1),
    []).

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

fof(fc11_circtrm1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v2_funct_1(B) )
     => ( v1_relat_1(k5_relat_1(A,B))
        & v1_funct_1(k5_relat_1(A,B))
        & v2_funct_1(k5_relat_1(A,B)) ) ) ),
    file(circtrm1,fc11_circtrm1),
    []).

fof(fc1_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => ( v1_relat_1(k5_relat_1(A,B))
        & v1_funct_1(k5_relat_1(A,B)) ) ) ),
    file(funct_1,fc1_funct_1),
    []).

fof(rc1_circcomb,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(circcomb,rc1_circcomb),
    []).

fof(rc1_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc1_funct_1),
    []).

fof(rc1_instalg1,axiom,(
    ? [A] : 
      ( l1_msualg_1(A)
      & ~ v3_struct_0(A)
      & ~ v2_msualg_1(A)
      & v1_instalg1(A) ) ),
    file(instalg1,rc1_instalg1),
    []).

fof(rc3_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(funct_1,rc3_funct_1),
    []).

fof(rc3_struct_0,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc3_struct_0),
    []).

fof(reflexivity_r2_circtrm1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & l1_msualg_1(B) )
     => r2_circtrm1(A,A) ) ),
    file(circtrm1,r2_circtrm1),
    []).

fof(symmetry_r2_circtrm1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & l1_msualg_1(B) )
     => ( r2_circtrm1(A,B)
       => r2_circtrm1(B,A) ) ) ),
    file(circtrm1,r2_circtrm1),
    []).

fof(t28_circtrm1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & l1_msualg_1(C) )
             => ! [D] : 
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] : 
                      ( ( v1_relat_1(E)
                        & v1_funct_1(E) )
                     => ! [F] : 
                          ( ( v1_relat_1(F)
                            & v1_funct_1(F) )
                         => ! [G] : 
                              ( ( v1_relat_1(G)
                                & v1_funct_1(G) )
                             => ( ( r1_circtrm1(A,B,D,E)
                                  & r1_circtrm1(B,C,F,G) )
                               => r1_circtrm1(A,C,k5_relat_1(D,F),k5_relat_1(E,G)) ) ) ) ) ) ) ) ) ),
    file(circtrm1,t28_circtrm1),
    []).