fof(t17_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,B,k6_valuat_1(A,C,D))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d6_valuat_1,t8_bvfunc_4,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,t8_bvfunc_4,d7_bvfunc_1,d6_valuat_1,d5_valuat_1,t39_margrel1,t39_margrel1,t19_binarith,d5_valuat_1,t7_binarith,t49_margrel1,t43_margrel1,t7_binarith,t7_binarith,d5_valuat_1,t46_margrel1,t43_margrel1,t19_binarith,t45_margrel1]),
    [file(bvfunc10,t17_bvfunc10),interesting(1.00)]).

fof(t1_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,B,C),k6_valuat_1(A,C,D)),k6_valuat_1(A,D,B)) = k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,C),k8_bvfunc_1(A,C,D)),k8_bvfunc_1(A,D,B)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d7_bvfunc_1,d7_bvfunc_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,t43_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t49_margrel1,t49_margrel1,t7_binarith,t7_binarith,t49_margrel1,t43_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t49_margrel1,t49_margrel1,t49_margrel1,t7_binarith,t7_binarith,t43_margrel1,t45_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t49_margrel1,t49_margrel1,t49_margrel1,t7_binarith,t7_binarith,t43_margrel1,t45_margrel1,d15_bvfunc_1,d6_valuat_1,d6_valuat_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,t39_margrel1,t39_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t7_binarith,t7_binarith,t7_binarith,t52_margrel1,t49_margrel1,t43_margrel1,t7_binarith,t7_binarith,t7_binarith,t52_margrel1,t49_margrel1,t43_margrel1,t7_binarith,t7_binarith,t7_binarith,t49_margrel1,t43_margrel1,t19_binarith,t45_margrel1,d15_bvfunc_1,t18_bvfunc_1]),
    [file(bvfunc10,t1_bvfunc10),interesting(0.98)]).

fof(t16_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,C),k8_bvfunc_1(A,C,D)),k8_bvfunc_1(A,D,B)),k5_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D))) = k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k5_valuat_1(A,B),C),D),k6_valuat_1(A,k6_valuat_1(A,B,k5_valuat_1(A,C)),D)),k6_valuat_1(A,k6_valuat_1(A,B,C),k5_valuat_1(A,D))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d6_valuat_1,d6_valuat_1,d6_valuat_1,t38_bvfunc_5,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,d7_bvfunc_1,d7_bvfunc_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,t43_margrel1,t39_margrel1,t39_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t41_margrel1,t50_margrel1,t41_margrel1,t50_margrel1,t50_margrel1,t19_binarith,t41_margrel1,t7_binarith,t7_binarith,t49_margrel1,t43_margrel1,t41_margrel1,t50_margrel1,t50_margrel1,t49_margrel1,t49_margrel1,t49_margrel1,t43_margrel1,t45_margrel1,t41_margrel1,t50_margrel1,t19_binarith,t7_binarith,t49_margrel1,t49_margrel1,t49_margrel1,t43_margrel1,t7_binarith,t49_margrel1,t49_margrel1,t49_margrel1,t43_margrel1,t45_margrel1,t45_margrel1,t41_margrel1,t50_margrel1,t7_binarith,t49_margrel1,t49_margrel1,t43_margrel1,t7_binarith,t49_margrel1,t49_margrel1,t49_margrel1,t43_margrel1,t19_binarith,t45_margrel1,t45_margrel1,d15_bvfunc_1,l19_bvfunc10,l19_bvfunc10,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t11_bvfunc_1,l19_bvfunc10,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t11_bvfunc_1,t19_bvfunc_1,t19_bvfunc_1,t19_bvfunc_1,t18_bvfunc_6,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t6_bvfunc_1,t18_bvfunc_6,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t6_bvfunc_1,t19_bvfunc_1,t18_bvfunc_1]),
    [file(bvfunc10,t16_bvfunc10),interesting(0.93)]).

fof(t15_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,D,B)),k8_bvfunc_1(A,k8_bvfunc_1(A,B,C),D)) = k6_valuat_1(A,k6_valuat_1(A,B,C),D) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t8_bvfunc_4,t8_bvfunc_4,t8_bvfunc_4,t7_bvfunc_1,t15_bvfunc_1,t15_bvfunc_1,t5_bvfunc_4,t12_bvfunc_1,t14_bvfunc_1,t11_bvfunc_1,t9_bvfunc_1,t15_bvfunc_1,t13_bvfunc_1,t9_bvfunc_1,t14_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t14_bvfunc_1,t5_bvfunc_4,t12_bvfunc_1,t15_bvfunc_1,t5_bvfunc_4,t12_bvfunc_1,t15_bvfunc_1,t7_bvfunc_1,t5_bvfunc_4,t8_bvfunc_1,t12_bvfunc_1,t7_bvfunc_1]),
    [file(bvfunc10,t15_bvfunc10),interesting(0.87)]).

fof(t10_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ! [E] : 
                      ( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                     => k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,D,E)) = k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,k6_valuat_1(A,k6_valuat_1(A,C,D),E)),k14_bvfunc_1(A,C,k6_valuat_1(A,D,E))),k14_bvfunc_1(A,D,E)) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t8_bvfunc_4,t8_bvfunc_4,t8_bvfunc_4,t40_bvfunc_5,t14_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t8_bvfunc_4,t8_bvfunc_4,t8_bvfunc_4,t8_bvfunc_4,t8_bvfunc_4,t8_bvfunc_4,t12_bvfunc_7,t7_bvfunc_1,t12_bvfunc_7,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t12_bvfunc_7,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1]),
    [file(bvfunc10,t10_bvfunc10),interesting(0.86)]).

fof(t25_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k6_valuat_1(A,k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,D)),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,B)))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t19_bvfunc10,t19_bvfunc_1,t21_bvfunc10,t19_bvfunc_1,t18_bvfunc_6,t19_bvfunc_1]),
    [file(bvfunc10,t25_bvfunc10),interesting(0.86)]).

fof(t3_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,k5_valuat_1(A,C)),k8_bvfunc_1(A,C,k5_valuat_1(A,D))),k8_bvfunc_1(A,D,k5_valuat_1(A,B))) = k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,C,k5_valuat_1(A,B)),k8_bvfunc_1(A,D,k5_valuat_1(A,C))),k8_bvfunc_1(A,B,k5_valuat_1(A,D))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[l4_bvfunc10,l4_bvfunc10,t18_bvfunc_1]),
    [file(bvfunc10,t3_bvfunc10),interesting(0.83)]).

fof(t18_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,k8_bvfunc_1(A,B,C),D)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d6_valuat_1,t8_bvfunc_4,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,t8_bvfunc_4,t16_bvfunc_1,d7_bvfunc_1,d6_valuat_1,t39_margrel1,t39_margrel1,t7_binarith,t19_binarith,t7_binarith,d5_valuat_1,t46_margrel1,t43_margrel1,t19_binarith,t43_margrel1,t49_margrel1,t43_margrel1,t19_binarith,t45_margrel1]),
    [file(bvfunc10,t18_bvfunc10),interesting(0.81)]).

fof(t21_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,B))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d6_valuat_1,t8_bvfunc_4,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,t39_margrel1,t39_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t19_binarith,t49_margrel1]),
    [file(bvfunc10,t21_bvfunc10),interesting(0.81)]).

fof(t23_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,B)))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t21_bvfunc10,t19_bvfunc_1,t39_bvfunc_6,t18_bvfunc_6,t19_bvfunc_1]),
    [file(bvfunc10,t23_bvfunc10),interesting(0.81)]).

fof(t19_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,D))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d6_valuat_1,t8_bvfunc_4,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,t39_margrel1,t39_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t19_binarith,t49_margrel1]),
    [file(bvfunc10,t19_bvfunc10),interesting(0.81)]).

fof(t2_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,B,k5_valuat_1(A,C)),k6_valuat_1(A,C,k5_valuat_1(A,D))),k6_valuat_1(A,D,k5_valuat_1(A,B))) = k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,C,k5_valuat_1(A,B)),k6_valuat_1(A,D,k5_valuat_1(A,C))),k6_valuat_1(A,B,k5_valuat_1(A,D))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[l2_bvfunc10,l2_bvfunc10,t18_bvfunc_1]),
    [file(bvfunc10,t2_bvfunc10),interesting(0.81)]).

fof(t8_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ! [E] : 
                      ( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                     => k6_valuat_1(A,k8_bvfunc_1(A,B,C),k8_bvfunc_1(A,D,E)) = k8_bvfunc_1(A,k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,B,D),k6_valuat_1(A,B,E)),k6_valuat_1(A,C,D)),k6_valuat_1(A,C,E)) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t15_bvfunc_1,t15_bvfunc_1,t15_bvfunc_1,t11_bvfunc_1,t11_bvfunc_1]),
    [file(bvfunc10,t8_bvfunc10),interesting(0.80)]).

fof(t12_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,k6_valuat_1(A,B,C),k5_valuat_1(A,D)),B),D),k5_valuat_1(A,C)) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d6_valuat_1,d6_valuat_1,t8_bvfunc_4,t17_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,t43_margrel1,t7_binarith,d5_valuat_1,d5_valuat_1,t22_binarith,t46_margrel1,t7_binarith,t52_margrel1,t46_margrel1,t49_margrel1,t43_margrel1]),
    [file(bvfunc10,t12_bvfunc10),interesting(0.70)]).

fof(l19_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k5_valuat_1(A,B),C),D),k6_valuat_1(A,k6_valuat_1(A,B,k5_valuat_1(A,C)),D)),k6_valuat_1(A,k6_valuat_1(A,B,C),k5_valuat_1(A,D))),k6_valuat_1(A,k8_bvfunc_1(A,B,C),k5_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D)))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,t38_bvfunc_5,d6_valuat_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,t43_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t49_margrel1,t49_margrel1,t49_margrel1,t49_margrel1,t49_margrel1,t49_margrel1,t7_binarith,t7_binarith,t43_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t39_margrel1,t39_margrel1,t19_binarith,t41_margrel1,t41_margrel1,t41_margrel1,t41_margrel1,t49_margrel1,t49_margrel1,t49_margrel1,t49_margrel1,t49_margrel1,t7_binarith,t7_binarith,t43_margrel1,t45_margrel1]),
    [file(bvfunc10,l19_bvfunc10),interesting(0.70)]).

fof(l4_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,k5_valuat_1(A,C)),k8_bvfunc_1(A,C,k5_valuat_1(A,D))),k8_bvfunc_1(A,D,k5_valuat_1(A,B))),k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,C,k5_valuat_1(A,B)),k8_bvfunc_1(A,D,k5_valuat_1(A,C))),k8_bvfunc_1(A,B,k5_valuat_1(A,D)))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d6_valuat_1,d6_valuat_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,d6_valuat_1,d6_valuat_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,t43_margrel1,t39_margrel1,t39_margrel1,t19_binarith,d5_valuat_1,t41_margrel1,t41_margrel1,t41_margrel1,t19_binarith,t7_binarith,t7_binarith,t52_margrel1,t46_margrel1,t50_margrel1,t43_margrel1,t39_margrel1,t39_margrel1,t19_binarith,d5_valuat_1,t41_margrel1,t19_binarith,t7_binarith,t7_binarith,t52_margrel1,t46_margrel1,t50_margrel1,t43_margrel1,t45_margrel1,t39_margrel1,t39_margrel1,t19_binarith,d5_valuat_1,t41_margrel1,t19_binarith,t7_binarith,t7_binarith,t46_margrel1,t49_margrel1,t43_margrel1,t45_margrel1]),
    [file(bvfunc10,l4_bvfunc10),interesting(0.69)]).

fof(l2_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,B,k5_valuat_1(A,C)),k6_valuat_1(A,C,k5_valuat_1(A,D))),k6_valuat_1(A,D,k5_valuat_1(A,B))),k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,C,k5_valuat_1(A,B)),k6_valuat_1(A,D,k5_valuat_1(A,C))),k6_valuat_1(A,B,k5_valuat_1(A,D)))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,d7_bvfunc_1,d7_bvfunc_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,t39_margrel1,t39_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t45_margrel1,t45_margrel1,t41_margrel1,t43_margrel1,t41_margrel1,d5_valuat_1,t43_margrel1,t41_margrel1,d5_valuat_1,t49_margrel1,d5_valuat_1,t49_margrel1,t49_margrel1,t7_binarith,t7_binarith,t43_margrel1,d5_valuat_1,t41_margrel1,t43_margrel1,d5_valuat_1,t41_margrel1,t43_margrel1,d5_valuat_1,t41_margrel1,t50_margrel1,t50_margrel1,t50_margrel1,t7_binarith,t7_binarith,t43_margrel1,t19_binarith,t45_margrel1]),
    [file(bvfunc10,l2_bvfunc10),interesting(0.68)]).

fof(t5_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ( ( k14_bvfunc_1(A,B,D) = k19_bvfunc_1(A)
                      & k14_bvfunc_1(A,C,D) = k19_bvfunc_1(A) )
                   => k14_bvfunc_1(A,k6_valuat_1(A,B,C),D) = k19_bvfunc_1(A) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t21_bvfunc_6,t6_bvfunc_1]),
    [file(bvfunc10,t5_bvfunc10),interesting(0.62)]).

fof(t9_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ! [E] : 
                      ( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                     => ! [F] : 
                          ( m2_fraenkel(F,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                         => k8_bvfunc_1(A,k6_valuat_1(A,B,C),k6_valuat_1(A,k6_valuat_1(A,D,E),F)) = k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,D),k8_bvfunc_1(A,B,E)),k8_bvfunc_1(A,B,F)),k8_bvfunc_1(A,C,D)),k8_bvfunc_1(A,C,E)),k8_bvfunc_1(A,C,F)) ) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t14_bvfunc_1,t14_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t14_bvfunc_1,t14_bvfunc_1,t14_bvfunc_1]),
    [file(bvfunc10,t9_bvfunc10),interesting(0.62)]).

fof(t11_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ! [E] : 
                      ( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                     => r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,D),k14_bvfunc_1(A,C,E)),k8_bvfunc_1(A,B,C)),k8_bvfunc_1(A,D,E)) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d6_valuat_1,d6_valuat_1,t8_bvfunc_4,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d5_valuat_1,d5_valuat_1,t43_margrel1,d7_bvfunc_1,t39_margrel1,t39_margrel1,t19_binarith,t7_binarith,t7_binarith,t52_margrel1,t22_binarith,t46_margrel1,t7_binarith,t52_margrel1,t46_margrel1,t49_margrel1,t43_margrel1]),
    [file(bvfunc10,t11_bvfunc10),interesting(0.61)]).

fof(t20_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,k5_valuat_1(A,D)))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d6_valuat_1,t8_bvfunc_4,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,t39_margrel1,t39_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t19_binarith,t49_margrel1]),
    [file(bvfunc10,t20_bvfunc10),interesting(0.56)]).

fof(t26_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k6_valuat_1(A,k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,k5_valuat_1(A,D))),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,B)))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t20_bvfunc10,t19_bvfunc_1,t21_bvfunc10,t19_bvfunc_1,t18_bvfunc_6,t19_bvfunc_1]),
    [file(bvfunc10,t26_bvfunc10),interesting(0.56)]).

fof(t22_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,k5_valuat_1(A,B)))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d6_valuat_1,t8_bvfunc_4,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,t39_margrel1,t39_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t19_binarith,t49_margrel1]),
    [file(bvfunc10,t22_bvfunc10),interesting(0.56)]).

fof(t4_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ( ( k14_bvfunc_1(A,D,B) = k19_bvfunc_1(A)
                      & k14_bvfunc_1(A,D,C) = k19_bvfunc_1(A) )
                   => k14_bvfunc_1(A,D,k8_bvfunc_1(A,B,C)) = k19_bvfunc_1(A) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t3_bvfunc_7,t13_bvfunc_1]),
    [file(bvfunc10,t4_bvfunc10),interesting(0.55)]).

fof(t27_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k6_valuat_1(A,k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,k5_valuat_1(A,D))),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,k5_valuat_1(A,B))))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t20_bvfunc10,t19_bvfunc_1,t22_bvfunc10,t19_bvfunc_1,t18_bvfunc_6,t19_bvfunc_1]),
    [file(bvfunc10,t27_bvfunc10),interesting(0.54)]).

fof(t24_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k6_valuat_1(A,k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,k5_valuat_1(A,D))),k14_bvfunc_1(A,C,D))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t20_bvfunc10,t19_bvfunc_1,t39_bvfunc_6,t18_bvfunc_6,t19_bvfunc_1]),
    [file(bvfunc10,t24_bvfunc10),interesting(0.51)]).

fof(t7_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ! [E] : 
                      ( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                     => k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,D),k14_bvfunc_1(A,C,E)),k8_bvfunc_1(A,B,C)),k5_valuat_1(A,k6_valuat_1(A,D,E))) = k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,D,B),k14_bvfunc_1(A,E,C)),k8_bvfunc_1(A,D,E)),k5_valuat_1(A,k6_valuat_1(A,B,C))) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[l9_bvfunc10,l9_bvfunc10,t18_bvfunc_1]),
    [file(bvfunc10,t7_bvfunc10),interesting(0.50)]).

fof(t14_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,D,B)) = k8_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D),k6_valuat_1(A,k6_valuat_1(A,k5_valuat_1(A,B),k5_valuat_1(A,C)),k5_valuat_1(A,D))) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d6_valuat_1,d6_valuat_1,t8_bvfunc_4,t8_bvfunc_4,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,d7_bvfunc_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,t39_margrel1,t39_margrel1,t41_margrel1,t50_margrel1,t41_margrel1,t41_margrel1,t41_margrel1,t19_binarith,t7_binarith,t7_binarith,t52_margrel1,t46_margrel1,t50_margrel1,t43_margrel1,t41_margrel1,t41_margrel1,t41_margrel1,t19_binarith,t19_binarith,t7_binarith,t49_margrel1,t43_margrel1,t19_binarith,t45_margrel1,t41_margrel1,t50_margrel1,t41_margrel1,t41_margrel1,t7_binarith,t52_margrel1,t49_margrel1,t43_margrel1,t41_margrel1,t41_margrel1,t41_margrel1,t7_binarith,t7_binarith,t52_margrel1,t46_margrel1,t49_margrel1,t43_margrel1,t19_binarith,t45_margrel1,t45_margrel1,t41_margrel1,t50_margrel1,t41_margrel1,t41_margrel1,t7_binarith,t7_binarith,t46_margrel1,t49_margrel1,t43_margrel1,t41_margrel1,t7_binarith,t52_margrel1,t49_margrel1,t43_margrel1,t19_binarith,t45_margrel1,t19_binarith,t45_margrel1,d15_bvfunc_1,d7_bvfunc_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,d6_valuat_1,d6_valuat_1,t8_bvfunc_4,t8_bvfunc_4,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,t43_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t41_margrel1,t52_margrel1,t52_margrel1,t49_margrel1,t49_margrel1,t7_binarith,t43_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t41_margrel1,t52_margrel1,t49_margrel1,t49_margrel1,t7_binarith,t43_margrel1,t45_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t41_margrel1,t52_margrel1,t49_margrel1,t49_margrel1,t7_binarith,t43_margrel1,t45_margrel1,d15_bvfunc_1,t18_bvfunc_1]),
    [file(bvfunc10,t14_bvfunc10),interesting(0.44)]).

fof(l9_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ! [E] : 
                      ( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                     => r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,D),k14_bvfunc_1(A,C,E)),k8_bvfunc_1(A,B,C)),k5_valuat_1(A,k6_valuat_1(A,D,E))),k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,D,B),k14_bvfunc_1(A,E,C)),k8_bvfunc_1(A,D,E)),k5_valuat_1(A,k6_valuat_1(A,B,C)))) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,t8_bvfunc_4,t8_bvfunc_4,d6_valuat_1,d6_valuat_1,t17_bvfunc_1,d6_valuat_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,t8_bvfunc_4,t8_bvfunc_4,d6_valuat_1,d6_valuat_1,d6_valuat_1,t17_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,t43_margrel1,t39_margrel1,t39_margrel1,t19_binarith,d5_valuat_1,t41_margrel1,t41_margrel1,t41_margrel1,t19_binarith,t7_binarith,t7_binarith,t50_margrel1,t22_binarith,t46_margrel1,t7_binarith,t52_margrel1,t46_margrel1,t49_margrel1,t43_margrel1,t39_margrel1,t39_margrel1,t19_binarith,d5_valuat_1,t41_margrel1,t41_margrel1,t41_margrel1,t19_binarith,t7_binarith,t7_binarith,t50_margrel1,t22_binarith,t46_margrel1,t7_binarith,t52_margrel1,t46_margrel1,t49_margrel1,t43_margrel1,t45_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t41_margrel1,t19_binarith,t7_binarith,t7_binarith,t50_margrel1,t52_margrel1,t22_binarith,t46_margrel1,t7_binarith,t52_margrel1,t46_margrel1,t49_margrel1,t43_margrel1,t45_margrel1,t39_margrel1,t39_margrel1,t19_binarith,d5_valuat_1,d5_valuat_1,t41_margrel1,t41_margrel1,t41_margrel1,t19_binarith,t7_binarith,t7_binarith,t50_margrel1,t52_margrel1,t22_binarith,t46_margrel1,t7_binarith,t52_margrel1,t46_margrel1,t49_margrel1,t43_margrel1,t45_margrel1]),
    [file(bvfunc10,l9_bvfunc10),interesting(0.42)]).

fof(t6_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ! [E] : 
                      ( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                     => ! [F] : 
                          ( m2_fraenkel(F,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                         => ! [G] : 
                              ( m2_fraenkel(G,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                             => r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,D,E)),k14_bvfunc_1(A,F,G)),k8_bvfunc_1(A,k8_bvfunc_1(A,B,D),F)),k8_bvfunc_1(A,k8_bvfunc_1(A,C,E),G)) ) ) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[d15_bvfunc_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,t8_bvfunc_4,t8_bvfunc_4,t8_bvfunc_4,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d7_bvfunc_1,d5_valuat_1,d5_valuat_1,d5_valuat_1,d7_bvfunc_1,d7_bvfunc_1,t39_margrel1,t39_margrel1,t39_margrel1,t39_margrel1,t19_binarith,t7_binarith,t19_binarith,t7_binarith,t7_binarith,d5_valuat_1,d5_valuat_1,d5_valuat_1,d7_bvfunc_1,d7_bvfunc_1,d6_valuat_1,d6_valuat_1,d6_valuat_1,t15_bvfunc_1,t7_bvfunc_1,t5_bvfunc_4,t8_bvfunc_1,t12_bvfunc_1,t15_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t5_bvfunc_4,t8_bvfunc_1,t12_bvfunc_1,t7_bvfunc_1,t7_bvfunc_1,t5_bvfunc_4,t8_bvfunc_1,d13_bvfunc_1,t43_margrel1]),
    [file(bvfunc10,t6_bvfunc10),interesting(0.40)]).

fof(t8_bvfunc_4,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => k14_bvfunc_1(A,B,C) = k8_bvfunc_1(A,k5_valuat_1(A,B),C) ) ) ) ),
    file(bvfunc_4,t8_bvfunc_4),
    [interesting(0.00)]).

fof(t40_bvfunc_5,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ! [E] : 
                      ( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                     => k8_bvfunc_1(A,B,k6_valuat_1(A,k6_valuat_1(A,C,D),E)) = k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,C),k8_bvfunc_1(A,B,D)),k8_bvfunc_1(A,B,E)) ) ) ) ) ) ),
    file(bvfunc_5,t40_bvfunc_5),
    [interesting(0.00)]).

fof(t14_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k8_bvfunc_1(A,k6_valuat_1(A,B,C),D) = k6_valuat_1(A,k8_bvfunc_1(A,B,D),k8_bvfunc_1(A,C,D)) ) ) ) ) ),
    file(bvfunc_1,t14_bvfunc_1),
    [interesting(0.00)]).

fof(t7_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k6_valuat_1(A,k6_valuat_1(A,B,C),D) = k6_valuat_1(A,B,k6_valuat_1(A,C,D)) ) ) ) ) ),
    file(bvfunc_1,t7_bvfunc_1),
    [interesting(0.00)]).

fof(t12_bvfunc_7,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)) = k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,B,D)) ) ) ) ) ),
    file(bvfunc_7,t12_bvfunc_7),
    [interesting(0.00)]).

fof(d15_bvfunc_1,definition,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ( r1_bvfunc_1(A,B,C)
              <=> ! [D] : 
                    ( m1_subset_1(D,A)
                   => ( k1_funct_1(B,D) = k8_margrel1
                     => k1_funct_1(C,D) = k8_margrel1 ) ) ) ) ) ) ),
    file(bvfunc_1,d15_bvfunc_1),
    [interesting(0.00)]).

fof(d6_valuat_1,definition,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ( D = k6_valuat_1(A,B,C)
                  <=> ! [E] : 
                        ( m1_subset_1(E,A)
                       => k8_funct_2(A,k6_margrel1,D,E) = k12_margrel1(k8_funct_2(A,k6_margrel1,B,E),k8_funct_2(A,k6_margrel1,C,E)) ) ) ) ) ) ) ),
    file(valuat_1,d6_valuat_1),
    [interesting(0.00)]).

fof(d7_bvfunc_1,definition,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ( D = k8_bvfunc_1(A,B,C)
                  <=> ! [E] : 
                        ( m1_subset_1(E,A)
                       => k8_funct_2(A,k6_margrel1,D,E) = k3_binarith(k8_funct_2(A,k6_margrel1,B,E),k8_funct_2(A,k6_margrel1,C,E)) ) ) ) ) ) ) ),
    file(bvfunc_1,d7_bvfunc_1),
    [interesting(0.00)]).

fof(d5_valuat_1,definition,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ( C = k5_valuat_1(A,B)
              <=> ! [D] : 
                    ( m1_subset_1(D,A)
                   => k8_funct_2(A,k6_margrel1,C,D) = k11_margrel1(k8_funct_2(A,k6_margrel1,B,D)) ) ) ) ) ) ),
    file(valuat_1,d5_valuat_1),
    [interesting(0.00)]).

fof(t43_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ( A != k8_margrel1
      <=> A = k7_margrel1 ) ) ),
    file(margrel1,t43_margrel1),
    [interesting(0.00)]).

fof(t39_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ( A = k7_margrel1
        | A = k8_margrel1 ) ) ),
    file(margrel1,t39_margrel1),
    [interesting(0.00)]).

fof(t19_binarith,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k1_binarith(A,k8_margrel1) = k8_margrel1 ) ),
    file(binarith,t19_binarith),
    [interesting(0.00)]).

fof(t7_binarith,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k1_binarith(A,k7_margrel1) = A ) ),
    file(binarith,t7_binarith),
    [interesting(0.00)]).

fof(t52_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ! [B] : 
          ( v2_margrel1(B)
         => ! [C] : 
              ( v2_margrel1(C)
             => k10_margrel1(A,k10_margrel1(B,C)) = k10_margrel1(k10_margrel1(A,B),C) ) ) ) ),
    file(margrel1,t52_margrel1),
    [interesting(0.00)]).

fof(t22_binarith,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ! [B] : 
          ( v2_margrel1(B)
         => ! [C] : 
              ( v2_margrel1(C)
             => k10_margrel1(A,k1_binarith(B,C)) = k1_binarith(k10_margrel1(A,B),k10_margrel1(A,C)) ) ) ) ),
    file(binarith,t22_binarith),
    [interesting(0.00)]).

fof(t46_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k10_margrel1(A,k9_margrel1(A)) = k7_margrel1 ) ),
    file(margrel1,t46_margrel1),
    [interesting(0.00)]).

fof(t49_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k10_margrel1(k7_margrel1,A) = k7_margrel1 ) ),
    file(margrel1,t49_margrel1),
    [interesting(0.00)]).

fof(t17_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => k5_valuat_1(A,k6_valuat_1(A,B,C)) = k8_bvfunc_1(A,k5_valuat_1(A,B),k5_valuat_1(A,C)) ) ) ) ),
    file(bvfunc_1,t17_bvfunc_1),
    [interesting(0.00)]).

fof(t38_bvfunc_5,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k5_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D)) = k8_bvfunc_1(A,k8_bvfunc_1(A,k5_valuat_1(A,B),k5_valuat_1(A,C)),k5_valuat_1(A,D)) ) ) ) ) ),
    file(bvfunc_5,t38_bvfunc_5),
    [interesting(0.00)]).

fof(t4_bvfunc_1,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A) )
     => k3_valuat_1(k3_valuat_1(A)) = A ) ),
    file(bvfunc_1,t4_bvfunc_1),
    [interesting(0.00)]).

fof(t11_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k8_bvfunc_1(A,k8_bvfunc_1(A,B,C),D) = k8_bvfunc_1(A,B,k8_bvfunc_1(A,C,D)) ) ) ) ) ),
    file(bvfunc_1,t11_bvfunc_1),
    [interesting(0.00)]).

fof(t13_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ! [E] : 
                      ( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                     => ! [F] : 
                          ( m2_fraenkel(F,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                         => ! [G] : 
                              ( m2_fraenkel(G,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                             => k14_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D),k8_bvfunc_1(A,k8_bvfunc_1(A,E,F),G)) = k14_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k5_valuat_1(A,E),k5_valuat_1(A,F)),D),k8_bvfunc_1(A,k8_bvfunc_1(A,k5_valuat_1(A,B),k5_valuat_1(A,C)),G)) ) ) ) ) ) ) ) ),
    inference(mizar_proof,[status(thm)],[t8_bvfunc_4,t38_bvfunc_5,t4_bvfunc_1,t4_bvfunc_1,t11_bvfunc_1,t11_bvfunc_1,t11_bvfunc_1,t38_bvfunc_5,t8_bvfunc_4]),
    [file(bvfunc10,t13_bvfunc10),interesting(0.00)]).

fof(t41_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ( ( A = k7_margrel1
         => k9_margrel1(A) = k8_margrel1 )
        & ( k9_margrel1(A) = k8_margrel1
         => A = k7_margrel1 )
        & ( A = k8_margrel1
         => k9_margrel1(A) = k7_margrel1 )
        & ( k9_margrel1(A) = k7_margrel1
         => A = k8_margrel1 ) ) ) ),
    file(margrel1,t41_margrel1),
    [interesting(0.00)]).

fof(t50_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k10_margrel1(k8_margrel1,A) = A ) ),
    file(margrel1,t50_margrel1),
    [interesting(0.00)]).

fof(t45_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ! [B] : 
          ( v2_margrel1(B)
         => ( ( k10_margrel1(A,B) = k8_margrel1
             => ( A = k8_margrel1
                & B = k8_margrel1 ) )
            & ( ( A = k8_margrel1
                & B = k8_margrel1 )
             => k10_margrel1(A,B) = k8_margrel1 )
            & ~ ( k10_margrel1(A,B) = k7_margrel1
                & A != k7_margrel1
                & B != k7_margrel1 )
            & ( ( A = k7_margrel1
                | B = k7_margrel1 )
             => k10_margrel1(A,B) = k7_margrel1 ) ) ) ) ),
    file(margrel1,t45_margrel1),
    [interesting(0.00)]).

fof(t18_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ( ( ( r1_bvfunc_1(A,B,C)
                        & r1_bvfunc_1(A,C,B) )
                     => B = C )
                    & ( ( r1_bvfunc_1(A,B,C)
                        & r1_bvfunc_1(A,C,D) )
                     => r1_bvfunc_1(A,B,D) ) ) ) ) ) ) ),
    file(bvfunc_1,t18_bvfunc_1),
    [interesting(0.00)]).

fof(t15_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k6_valuat_1(A,k8_bvfunc_1(A,B,C),D) = k8_bvfunc_1(A,k6_valuat_1(A,B,D),k6_valuat_1(A,C,D)) ) ) ) ) ),
    file(bvfunc_1,t15_bvfunc_1),
    [interesting(0.00)]).

fof(t5_bvfunc_4,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => k6_valuat_1(A,B,k5_valuat_1(A,B)) = k18_bvfunc_1(A) ) ) ),
    file(bvfunc_4,t5_bvfunc_4),
    [interesting(0.00)]).

fof(t12_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => k8_bvfunc_1(A,B,k18_bvfunc_1(A)) = B ) ) ),
    file(bvfunc_1,t12_bvfunc_1),
    [interesting(0.00)]).

fof(t9_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => k6_valuat_1(A,B,k19_bvfunc_1(A)) = B ) ) ),
    file(bvfunc_1,t9_bvfunc_1),
    [interesting(0.00)]).

fof(t13_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => k8_bvfunc_1(A,B,k19_bvfunc_1(A)) = k19_bvfunc_1(A) ) ) ),
    file(bvfunc_1,t13_bvfunc_1),
    [interesting(0.00)]).

fof(t8_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => k6_valuat_1(A,B,k18_bvfunc_1(A)) = k18_bvfunc_1(A) ) ) ),
    file(bvfunc_1,t8_bvfunc_1),
    [interesting(0.00)]).

fof(t19_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ( k14_bvfunc_1(A,B,C) = k19_bvfunc_1(A)
              <=> r1_bvfunc_1(A,B,C) ) ) ) ) ),
    file(bvfunc_1,t19_bvfunc_1),
    [interesting(0.00)]).

fof(t18_bvfunc_6,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ( ( k14_bvfunc_1(A,D,B) = k19_bvfunc_1(A)
                      & k14_bvfunc_1(A,D,C) = k19_bvfunc_1(A) )
                   => k14_bvfunc_1(A,D,k6_valuat_1(A,B,C)) = k19_bvfunc_1(A) ) ) ) ) ) ),
    file(bvfunc_6,t18_bvfunc_6),
    [interesting(0.00)]).

fof(t6_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => k6_valuat_1(A,B,B) = B ) ) ) ),
    file(bvfunc_1,t6_bvfunc_1),
    [interesting(0.00)]).

fof(t16_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => k5_valuat_1(A,k8_bvfunc_1(A,B,C)) = k6_valuat_1(A,k5_valuat_1(A,B),k5_valuat_1(A,C)) ) ) ) ),
    file(bvfunc_1,t16_bvfunc_1),
    [interesting(0.00)]).

fof(t39_bvfunc_6,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => k14_bvfunc_1(A,k6_valuat_1(A,B,C),B) = k19_bvfunc_1(A) ) ) ) ),
    file(bvfunc_6,t39_bvfunc_6),
    [interesting(0.00)]).

fof(t3_bvfunc_7,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,D)) = k8_bvfunc_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,B,D)) ) ) ) ) ),
    file(bvfunc_7,t3_bvfunc_7),
    [interesting(0.00)]).

fof(t21_bvfunc_6,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ! [E] : 
                      ( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                     => ( ( k14_bvfunc_1(A,B,C) = k19_bvfunc_1(A)
                          & k14_bvfunc_1(A,D,E) = k19_bvfunc_1(A) )
                       => k14_bvfunc_1(A,k6_valuat_1(A,B,D),k6_valuat_1(A,C,E)) = k19_bvfunc_1(A) ) ) ) ) ) ) ),
    file(bvfunc_6,t21_bvfunc_6),
    [interesting(0.00)]).

fof(d13_bvfunc_1,definition,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ( B = k18_bvfunc_1(A)
          <=> ! [C] : 
                ( m1_subset_1(C,A)
               => k1_funct_1(B,C) = k7_margrel1 ) ) ) ) ),
    file(bvfunc_1,d13_bvfunc_1),
    [interesting(0.00)]).