TSTP Solution File: GRP575-1 by Z3---4.8.9.0

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GRP575-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 16 22:28:19 EDT 2022

% Result   : Unsatisfiable 1.13s 0.99s
% Output   : Proof 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   84
%            Number of leaves      :  130
% Syntax   : Number of formulae    :  848 ( 723 unt;   7 typ;   0 def)
%            Number of atoms       :  967 ( 962 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  235 ( 113   ~; 109   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   22 (   3 avg)
%            Number of FOOLs       :    4 (   4 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   3   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  324 ( 317   !;   0   ?; 324   :)

% Comments : 
%------------------------------------------------------------------------------
tff(multiply_type,type,
    multiply: ( $i * $i ) > $i ).

tff(c3_type,type,
    c3: $i ).

tff(b3_type,type,
    b3: $i ).

tff(a3_type,type,
    a3: $i ).

tff(double_divide_type,type,
    double_divide: ( $i * $i ) > $i ).

tff(identity_type,type,
    identity: $i ).

tff(inverse_type,type,
    inverse: $i > $i ).

tff(1,plain,
    ^ [B: $i,A: $i] :
      refl(
        ( ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
      <=> ( multiply(A,B) = double_divide(double_divide(B,A),identity) ) )),
    inference(bind,[status(th)],]) ).

tff(2,plain,
    ( ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
  <=> ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ) ),
    inference(quant_intro,[status(thm)],[1]) ).

tff(3,plain,
    ( ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
  <=> ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(4,axiom,
    ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

tff(5,plain,
    ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
    inference(modus_ponens,[status(thm)],[4,3]) ).

tff(6,plain,
    ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
    inference(skolemize,[status(sab)],[5]) ).

tff(7,plain,
    ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
    inference(modus_ponens,[status(thm)],[6,2]) ).

tff(8,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(a3,multiply(b3,c3)) = double_divide(double_divide(multiply(b3,c3),a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(9,plain,
    multiply(a3,multiply(b3,c3)) = double_divide(double_divide(multiply(b3,c3),a3),identity),
    inference(unit_resolution,[status(thm)],[8,7]) ).

tff(10,plain,
    double_divide(double_divide(multiply(b3,c3),a3),identity) = multiply(a3,multiply(b3,c3)),
    inference(symmetry,[status(thm)],[9]) ).

tff(11,plain,
    ^ [B: $i,A: $i,C: $i] :
      refl(
        ( ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
      <=> ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ) )),
    inference(bind,[status(th)],]) ).

tff(12,plain,
    ( ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
  <=> ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ) ),
    inference(quant_intro,[status(thm)],[11]) ).

tff(13,plain,
    ( ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
  <=> ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ) ),
    inference(rewrite,[status(thm)],]) ).

tff(14,axiom,
    ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

tff(15,plain,
    ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ),
    inference(modus_ponens,[status(thm)],[14,13]) ).

tff(16,plain,
    ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ),
    inference(skolemize,[status(sab)],[15]) ).

tff(17,plain,
    ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ),
    inference(modus_ponens,[status(thm)],[16,12]) ).

tff(18,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(19,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),identity),
    inference(unit_resolution,[status(thm)],[18,17]) ).

tff(20,plain,
    ^ [A: $i] :
      refl(
        ( ( inverse(A) = double_divide(A,identity) )
      <=> ( inverse(A) = double_divide(A,identity) ) )),
    inference(bind,[status(th)],]) ).

tff(21,plain,
    ( ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
  <=> ! [A: $i] : ( inverse(A) = double_divide(A,identity) ) ),
    inference(quant_intro,[status(thm)],[20]) ).

tff(22,plain,
    ( ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
  <=> ! [A: $i] : ( inverse(A) = double_divide(A,identity) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(23,axiom,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

tff(24,plain,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    inference(modus_ponens,[status(thm)],[23,22]) ).

tff(25,plain,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    inference(skolemize,[status(sab)],[24]) ).

tff(26,plain,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    inference(modus_ponens,[status(thm)],[25,21]) ).

tff(27,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(multiply(b3,c3),a3)) = double_divide(double_divide(multiply(b3,c3),a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(28,plain,
    inverse(double_divide(multiply(b3,c3),a3)) = double_divide(double_divide(multiply(b3,c3),a3),identity),
    inference(unit_resolution,[status(thm)],[27,26]) ).

tff(29,plain,
    double_divide(double_divide(multiply(b3,c3),a3),identity) = inverse(double_divide(multiply(b3,c3),a3)),
    inference(symmetry,[status(thm)],[28]) ).

tff(30,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(multiply(b3,c3),a3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(31,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(multiply(b3,c3),a3),
    inference(unit_resolution,[status(thm)],[30,17]) ).

tff(32,plain,
    ^ [A: $i] :
      refl(
        ( ( identity = double_divide(A,inverse(A)) )
      <=> ( identity = double_divide(A,inverse(A)) ) )),
    inference(bind,[status(th)],]) ).

tff(33,plain,
    ( ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
  <=> ! [A: $i] : ( identity = double_divide(A,inverse(A)) ) ),
    inference(quant_intro,[status(thm)],[32]) ).

tff(34,plain,
    ( ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
  <=> ! [A: $i] : ( identity = double_divide(A,inverse(A)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(35,axiom,
    ! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

tff(36,plain,
    ! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
    inference(modus_ponens,[status(thm)],[35,34]) ).

tff(37,plain,
    ! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
    inference(skolemize,[status(sab)],[36]) ).

tff(38,plain,
    ! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
    inference(modus_ponens,[status(thm)],[37,33]) ).

tff(39,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(a3,inverse(a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(40,plain,
    identity = double_divide(a3,inverse(a3)),
    inference(unit_resolution,[status(thm)],[39,38]) ).

tff(41,plain,
    double_divide(identity,identity) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(monotonicity,[status(thm)],[40]) ).

tff(42,plain,
    double_divide(double_divide(a3,inverse(a3)),identity) = double_divide(identity,identity),
    inference(symmetry,[status(thm)],[41]) ).

tff(43,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)) = double_divide(double_divide(a3,inverse(a3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(44,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(unit_resolution,[status(thm)],[43,17]) ).

tff(45,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(46,plain,
    identity = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(unit_resolution,[status(thm)],[45,38]) ).

tff(47,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(symmetry,[status(thm)],[46]) ).

tff(48,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(49,plain,
    inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
    inference(unit_resolution,[status(thm)],[48,26]) ).

tff(50,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity) = inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(symmetry,[status(thm)],[49]) ).

tff(51,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(52,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[51,17]) ).

tff(53,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(54,plain,
    identity = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[53,38]) ).

tff(55,plain,
    double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = identity,
    inference(symmetry,[status(thm)],[54]) ).

tff(56,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[55,55]) ).

tff(57,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[55]) ).

tff(58,plain,
    double_divide(identity,identity) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
    inference(symmetry,[status(thm)],[57]) ).

tff(59,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(transitivity,[status(thm)],[56,58,50]) ).

tff(60,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(monotonicity,[status(thm)],[59]) ).

tff(61,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(transitivity,[status(thm)],[60,47,54]) ).

tff(62,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(monotonicity,[status(thm)],[61,50]) ).

tff(63,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity)) = identity,
    inference(transitivity,[status(thm)],[62,47]) ).

tff(64,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[55,63]) ).

tff(65,plain,
    double_divide(identity,identity) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),
    inference(symmetry,[status(thm)],[64]) ).

tff(66,plain,
    double_divide(double_divide(a3,inverse(a3)),identity) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),
    inference(transitivity,[status(thm)],[42,65]) ).

tff(67,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[66,56]) ).

tff(68,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(transitivity,[status(thm)],[67,52]) ).

tff(69,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(monotonicity,[status(thm)],[68,50]) ).

tff(70,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity)) = identity,
    inference(transitivity,[status(thm)],[69,47]) ).

tff(71,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[55,70]) ).

tff(72,plain,
    double_divide(identity,identity) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),
    inference(symmetry,[status(thm)],[71]) ).

tff(73,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),
    inference(transitivity,[status(thm)],[64,72]) ).

tff(74,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[73]) ).

tff(75,plain,
    double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[52]) ).

tff(76,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(multiply(b3,c3),a3),inverse(double_divide(multiply(b3,c3),a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(77,plain,
    identity = double_divide(double_divide(multiply(b3,c3),a3),inverse(double_divide(multiply(b3,c3),a3))),
    inference(unit_resolution,[status(thm)],[76,38]) ).

tff(78,plain,
    double_divide(double_divide(multiply(b3,c3),a3),inverse(double_divide(multiply(b3,c3),a3))) = identity,
    inference(symmetry,[status(thm)],[77]) ).

tff(79,plain,
    double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(multiply(b3,c3),a3),inverse(double_divide(multiply(b3,c3),a3))),
    inference(monotonicity,[status(thm)],[29]) ).

tff(80,plain,
    double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[79,78,54,75,74,44,42]) ).

tff(81,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[80]) ).

tff(82,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))) = double_divide(multiply(b3,c3),a3),
    inference(transitivity,[status(thm)],[81,31]) ).

tff(83,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(multiply(b3,c3),a3),inverse(double_divide(multiply(b3,c3),a3))),
    inference(monotonicity,[status(thm)],[82,29]) ).

tff(84,plain,
    double_divide(double_divide(multiply(b3,c3),a3),inverse(double_divide(multiply(b3,c3),a3))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(symmetry,[status(thm)],[83]) ).

tff(85,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[74]) ).

tff(86,plain,
    double_divide(double_divide(a3,inverse(a3)),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[44]) ).

tff(87,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(a3,inverse(a3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(88,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(unit_resolution,[status(thm)],[87,17]) ).

tff(89,plain,
    identity = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[54,75,74,44,42]) ).

tff(90,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[66,89]) ).

tff(91,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[90,74,44,42]) ).

tff(92,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity) = identity,
    inference(transitivity,[status(thm)],[90,52,55]) ).

tff(93,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[66,42]) ).

tff(94,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[93,74,44,42]) ).

tff(95,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(96,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(multiply(b3,c3),a3),
    inference(transitivity,[status(thm)],[95,31]) ).

tff(97,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(multiply(b3,c3),a3),identity),
    inference(monotonicity,[status(thm)],[96,92]) ).

tff(98,plain,
    double_divide(double_divide(multiply(b3,c3),a3),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[97]) ).

tff(99,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[66,80]) ).

tff(100,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(transitivity,[status(thm)],[99,74,44]) ).

tff(101,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[100,98]) ).

tff(102,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(symmetry,[status(thm)],[101]) ).

tff(103,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[98]) ).

tff(104,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(transitivity,[status(thm)],[103,102]) ).

tff(105,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(monotonicity,[status(thm)],[104]) ).

tff(106,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[105,91]) ).

tff(107,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(transitivity,[status(thm)],[106,88,86,85,52,55,77,84]) ).

tff(108,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(monotonicity,[status(thm)],[107]) ).

tff(109,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[108]) ).

tff(110,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[109]) ).

tff(111,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(112,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),
    inference(unit_resolution,[status(thm)],[111,17]) ).

tff(113,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[112]) ).

tff(114,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(115,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),
    inference(unit_resolution,[status(thm)],[114,17]) ).

tff(116,plain,
    double_divide(identity,identity) = identity,
    inference(transitivity,[status(thm)],[41,86,85,52,55]) ).

tff(117,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(118,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)),
    inference(unit_resolution,[status(thm)],[117,17]) ).

tff(119,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(120,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(unit_resolution,[status(thm)],[119,17]) ).

tff(121,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(122,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),
    inference(unit_resolution,[status(thm)],[121,17]) ).

tff(123,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(124,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),
    inference(transitivity,[status(thm)],[123,122]) ).

tff(125,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[124,91]) ).

tff(126,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[125]) ).

tff(127,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(128,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),
    inference(unit_resolution,[status(thm)],[127,17]) ).

tff(129,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(130,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),
    inference(transitivity,[status(thm)],[129,128]) ).

tff(131,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[130,91]) ).

tff(132,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[131,126]) ).

tff(133,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[132]) ).

tff(134,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(symmetry,[status(thm)],[133]) ).

tff(135,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[134]) ).

tff(136,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(137,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),
    inference(unit_resolution,[status(thm)],[136,17]) ).

tff(138,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[137]) ).

tff(139,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(a3,b3) = double_divide(double_divide(b3,a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(140,plain,
    multiply(a3,b3) = double_divide(double_divide(b3,a3),identity),
    inference(unit_resolution,[status(thm)],[139,7]) ).

tff(141,plain,
    double_divide(double_divide(b3,a3),identity) = multiply(a3,b3),
    inference(symmetry,[status(thm)],[140]) ).

tff(142,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(identity,identity)) = c3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(143,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(identity,identity)) = c3,
    inference(unit_resolution,[status(thm)],[142,17]) ).

tff(144,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(b3,a3)) = double_divide(double_divide(b3,a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(145,plain,
    inverse(double_divide(b3,a3)) = double_divide(double_divide(b3,a3),identity),
    inference(unit_resolution,[status(thm)],[144,26]) ).

tff(146,plain,
    double_divide(double_divide(b3,a3),identity) = inverse(double_divide(b3,a3)),
    inference(symmetry,[status(thm)],[145]) ).

tff(147,plain,
    double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(monotonicity,[status(thm)],[146]) ).

tff(148,plain,
    double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[147,75,74,44,42]) ).

tff(149,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[148]) ).

tff(150,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))) = c3,
    inference(transitivity,[status(thm)],[149,143]) ).

tff(151,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)) = double_divide(c3,multiply(a3,b3)),
    inference(monotonicity,[status(thm)],[150,141]) ).

tff(152,plain,
    double_divide(c3,multiply(a3,b3)) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)),
    inference(symmetry,[status(thm)],[151]) ).

tff(153,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(154,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)),
    inference(unit_resolution,[status(thm)],[153,17]) ).

tff(155,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(c3,multiply(a3,b3))) = double_divide(double_divide(c3,multiply(a3,b3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(156,plain,
    inverse(double_divide(c3,multiply(a3,b3))) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(unit_resolution,[status(thm)],[155,26]) ).

tff(157,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = inverse(double_divide(c3,multiply(a3,b3))),
    inference(symmetry,[status(thm)],[156]) ).

tff(158,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(159,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)),
    inference(unit_resolution,[status(thm)],[158,17]) ).

tff(160,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(161,plain,
    identity = double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))),
    inference(unit_resolution,[status(thm)],[160,38]) ).

tff(162,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))) = identity,
    inference(symmetry,[status(thm)],[161]) ).

tff(163,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))),
    inference(monotonicity,[status(thm)],[157]) ).

tff(164,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[163,162,54,75,74,44,42]) ).

tff(165,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[164]) ).

tff(166,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(c3,multiply(a3,b3)),
    inference(transitivity,[status(thm)],[165,159]) ).

tff(167,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))),
    inference(monotonicity,[status(thm)],[166,157]) ).

tff(168,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)),
    inference(symmetry,[status(thm)],[167]) ).

tff(169,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)),
    inference(transitivity,[status(thm)],[90,52,55,161,168]) ).

tff(170,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity)) = identity,
    inference(transitivity,[status(thm)],[93,52,55]) ).

tff(171,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(monotonicity,[status(thm)],[170]) ).

tff(172,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),
    inference(monotonicity,[status(thm)],[171,169]) ).

tff(173,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[172]) ).

tff(174,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(175,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(unit_resolution,[status(thm)],[174,17]) ).

tff(176,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),inverse(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(177,plain,
    identity = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),inverse(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),
    inference(unit_resolution,[status(thm)],[176,38]) ).

tff(178,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),inverse(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))) = identity,
    inference(symmetry,[status(thm)],[177]) ).

tff(179,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(180,plain,
    inverse(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity),
    inference(unit_resolution,[status(thm)],[179,26]) ).

tff(181,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity) = inverse(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity)))),
    inference(symmetry,[status(thm)],[180]) ).

tff(182,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[89]) ).

tff(183,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity),
    inference(symmetry,[status(thm)],[182]) ).

tff(184,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(185,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(unit_resolution,[status(thm)],[184,17]) ).

tff(186,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[185]) ).

tff(187,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity),
    inference(transitivity,[status(thm)],[186,183]) ).

tff(188,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),inverse(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(189,plain,
    identity = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),inverse(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))))),
    inference(unit_resolution,[status(thm)],[188,38]) ).

tff(190,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),inverse(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))))) = identity,
    inference(symmetry,[status(thm)],[189]) ).

tff(191,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity)))) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(192,plain,
    inverse(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity)))) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity),
    inference(unit_resolution,[status(thm)],[191,26]) ).

tff(193,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity) = inverse(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity)))),
    inference(symmetry,[status(thm)],[192]) ).

tff(194,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = inverse(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity)))),
    inference(transitivity,[status(thm)],[186,183,193]) ).

tff(195,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),inverse(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))))),
    inference(monotonicity,[status(thm)],[194]) ).

tff(196,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = identity,
    inference(transitivity,[status(thm)],[195,190]) ).

tff(197,plain,
    double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(multiply(b3,c3),a3),identity),
    inference(monotonicity,[status(thm)],[196]) ).

tff(198,plain,
    double_divide(double_divide(multiply(b3,c3),a3),identity) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),
    inference(symmetry,[status(thm)],[197]) ).

tff(199,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),
    inference(transitivity,[status(thm)],[113,110,19,198]) ).

tff(200,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity)),
    inference(monotonicity,[status(thm)],[199,187]) ).

tff(201,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[200]) ).

tff(202,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),inverse(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),
    inference(monotonicity,[status(thm)],[201,181]) ).

tff(203,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)),
    inference(transitivity,[status(thm)],[202,178,161,168]) ).

tff(204,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),
    inference(monotonicity,[status(thm)],[203]) ).

tff(205,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),
    inference(symmetry,[status(thm)],[204]) ).

tff(206,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[205]) ).

tff(207,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(208,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),
    inference(unit_resolution,[status(thm)],[207,17]) ).

tff(209,plain,
    double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[208]) ).

tff(210,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(211,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),
    inference(unit_resolution,[status(thm)],[210,17]) ).

tff(212,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(213,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(transitivity,[status(thm)],[212,211,209,206,175]) ).

tff(214,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),
    inference(monotonicity,[status(thm)],[213,169]) ).

tff(215,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[214,173]) ).

tff(216,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[215]) ).

tff(217,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[216]) ).

tff(218,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(219,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[218,17]) ).

tff(220,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[219]) ).

tff(221,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(222,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(c3,multiply(a3,b3)),
    inference(transitivity,[status(thm)],[221,159]) ).

tff(223,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(monotonicity,[status(thm)],[222,92]) ).

tff(224,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[223]) ).

tff(225,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[224]) ).

tff(226,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)),
    inference(transitivity,[status(thm)],[225,220,217,154,152]) ).

tff(227,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),
    inference(monotonicity,[status(thm)],[226]) ).

tff(228,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(transitivity,[status(thm)],[227,138,135,120]) ).

tff(229,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[228,91]) ).

tff(230,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[229]) ).

tff(231,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[89]) ).

tff(232,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[231,230]) ).

tff(233,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(234,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))))),
    inference(unit_resolution,[status(thm)],[233,38]) ).

tff(235,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))))) = identity,
    inference(symmetry,[status(thm)],[234]) ).

tff(236,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(237,plain,
    inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),identity),
    inference(unit_resolution,[status(thm)],[236,26]) ).

tff(238,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)))),
    inference(symmetry,[status(thm)],[237]) ).

tff(239,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[89]) ).

tff(240,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),identity),
    inference(symmetry,[status(thm)],[239]) ).

tff(241,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[122]) ).

tff(242,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(c3) = double_divide(c3,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(243,plain,
    inverse(c3) = double_divide(c3,identity),
    inference(unit_resolution,[status(thm)],[242,26]) ).

tff(244,plain,
    double_divide(c3,identity) = inverse(c3),
    inference(symmetry,[status(thm)],[243]) ).

tff(245,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),
    inference(monotonicity,[status(thm)],[116]) ).

tff(246,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[245]) ).

tff(247,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity) = c3,
    inference(transitivity,[status(thm)],[246,143]) ).

tff(248,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity) = double_divide(c3,identity),
    inference(monotonicity,[status(thm)],[247]) ).

tff(249,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity) = inverse(c3),
    inference(transitivity,[status(thm)],[248,244]) ).

tff(250,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(c3,inverse(c3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(251,plain,
    identity = double_divide(c3,inverse(c3)),
    inference(unit_resolution,[status(thm)],[250,38]) ).

tff(252,plain,
    double_divide(c3,inverse(c3)) = identity,
    inference(symmetry,[status(thm)],[251]) ).

tff(253,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity)) = double_divide(c3,inverse(c3)),
    inference(monotonicity,[status(thm)],[247,244]) ).

tff(254,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[253,252,54,75,74,44,42]) ).

tff(255,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[254]) ).

tff(256,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))) = c3,
    inference(transitivity,[status(thm)],[255,143]) ).

tff(257,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)) = double_divide(c3,inverse(c3)),
    inference(monotonicity,[status(thm)],[256,249]) ).

tff(258,plain,
    double_divide(c3,inverse(c3)) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(symmetry,[status(thm)],[257]) ).

tff(259,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),inverse(double_divide(double_divide(multiply(b3,c3),a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(260,plain,
    identity = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),inverse(double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(unit_resolution,[status(thm)],[259,38]) ).

tff(261,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),inverse(double_divide(double_divide(multiply(b3,c3),a3),identity))) = identity,
    inference(symmetry,[status(thm)],[260]) ).

tff(262,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(263,plain,
    inverse(double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity),
    inference(unit_resolution,[status(thm)],[262,26]) ).

tff(264,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity) = inverse(double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(symmetry,[status(thm)],[263]) ).

tff(265,plain,
    identity = double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(transitivity,[status(thm)],[77,84]) ).

tff(266,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(monotonicity,[status(thm)],[265]) ).

tff(267,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity),
    inference(symmetry,[status(thm)],[266]) ).

tff(268,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(269,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(unit_resolution,[status(thm)],[268,17]) ).

tff(270,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(271,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),
    inference(transitivity,[status(thm)],[270,112]) ).

tff(272,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[271,91]) ).

tff(273,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[272]) ).

tff(274,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(275,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),
    inference(unit_resolution,[status(thm)],[274,17]) ).

tff(276,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(277,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),
    inference(transitivity,[status(thm)],[276,275]) ).

tff(278,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[277,91]) ).

tff(279,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[278,273]) ).

tff(280,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[279]) ).

tff(281,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[280]) ).

tff(282,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(283,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[282,17]) ).

tff(284,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[283]) ).

tff(285,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity)) = inverse(double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(transitivity,[status(thm)],[101,284,281,269,267,264]) ).

tff(286,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),inverse(double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(monotonicity,[status(thm)],[285]) ).

tff(287,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(288,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(unit_resolution,[status(thm)],[287,17]) ).

tff(289,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(290,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = c3,
    inference(transitivity,[status(thm)],[289,143]) ).

tff(291,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(c3,identity),
    inference(monotonicity,[status(thm)],[290,92]) ).

tff(292,plain,
    double_divide(c3,identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[291]) ).

tff(293,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[248,292]) ).

tff(294,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[254]) ).

tff(295,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(transitivity,[status(thm)],[294,88]) ).

tff(296,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[295,293]) ).

tff(297,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(symmetry,[status(thm)],[296]) ).

tff(298,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[292]) ).

tff(299,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(transitivity,[status(thm)],[298,297]) ).

tff(300,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[299]) ).

tff(301,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[300,91]) ).

tff(302,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(transitivity,[status(thm)],[301,288,286,261,251,258]) ).

tff(303,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[302]) ).

tff(304,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(symmetry,[status(thm)],[303]) ).

tff(305,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[304]) ).

tff(306,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[305]) ).

tff(307,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(308,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,identity),
    inference(unit_resolution,[status(thm)],[307,17]) ).

tff(309,plain,
    double_divide(c3,identity) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[308]) ).

tff(310,plain,
    double_divide(c3,identity) = inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)))),
    inference(transitivity,[status(thm)],[309,306,128,241,240,238]) ).

tff(311,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[135]) ).

tff(312,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[120]) ).

tff(313,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),
    inference(transitivity,[status(thm)],[312,311,137]) ).

tff(314,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))))),
    inference(monotonicity,[status(thm)],[313,310]) ).

tff(315,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity)) = identity,
    inference(transitivity,[status(thm)],[314,235]) ).

tff(316,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(monotonicity,[status(thm)],[315]) ).

tff(317,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[316,232]) ).

tff(318,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)),
    inference(symmetry,[status(thm)],[317]) ).

tff(319,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(320,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(unit_resolution,[status(thm)],[319,17]) ).

tff(321,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[314,235,54,75,74,44,42]) ).

tff(322,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[321]) ).

tff(323,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(transitivity,[status(thm)],[322,320]) ).

tff(324,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[323,232]) ).

tff(325,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)),
    inference(transitivity,[status(thm)],[324,318]) ).

tff(326,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[325]) ).

tff(327,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[326]) ).

tff(328,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(329,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),
    inference(unit_resolution,[status(thm)],[328,17]) ).

tff(330,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(c3,identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[329]) ).

tff(331,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[231,305,308,292]) ).

tff(332,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),inverse(double_divide(double_divide(c3,multiply(a3,b3)),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(333,plain,
    identity = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),inverse(double_divide(double_divide(c3,multiply(a3,b3)),identity))),
    inference(unit_resolution,[status(thm)],[332,38]) ).

tff(334,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),inverse(double_divide(double_divide(c3,multiply(a3,b3)),identity))) = identity,
    inference(symmetry,[status(thm)],[333]) ).

tff(335,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[206]) ).

tff(336,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[175]) ).

tff(337,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),
    inference(transitivity,[status(thm)],[336,335,208]) ).

tff(338,plain,
    inverse(double_divide(double_divide(c3,multiply(a3,b3)),identity)) = inverse(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)))),
    inference(monotonicity,[status(thm)],[337]) ).

tff(339,plain,
    inverse(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)))) = inverse(double_divide(double_divide(c3,multiply(a3,b3)),identity)),
    inference(symmetry,[status(thm)],[338]) ).

tff(340,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(341,plain,
    inverse(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),identity),
    inference(unit_resolution,[status(thm)],[340,26]) ).

tff(342,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),identity) = inverse(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)))),
    inference(symmetry,[status(thm)],[341]) ).

tff(343,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),identity) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[89]) ).

tff(344,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),identity),
    inference(symmetry,[status(thm)],[343]) ).

tff(345,plain,
    double_divide(c3,multiply(a3,b3)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[159]) ).

tff(346,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(347,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),
    inference(unit_resolution,[status(thm)],[346,17]) ).

tff(348,plain,
    double_divide(identity,identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(transitivity,[status(thm)],[41,86,85,52,55,251,258]) ).

tff(349,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(350,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,identity),
    inference(unit_resolution,[status(thm)],[349,17]) ).

tff(351,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(transitivity,[status(thm)],[93,52,55,251,258]) ).

tff(352,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[351]) ).

tff(353,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[352,91]) ).

tff(354,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[353]) ).

tff(355,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[128]) ).

tff(356,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(357,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),
    inference(transitivity,[status(thm)],[356,137]) ).

tff(358,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[357,91]) ).

tff(359,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[358,122,355,354]) ).

tff(360,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[359]) ).

tff(361,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[360]) ).

tff(362,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(363,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[362,17]) ).

tff(364,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[363]) ).

tff(365,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[246,126]) ).

tff(366,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[365]) ).

tff(367,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity)) = inverse(c3),
    inference(transitivity,[status(thm)],[366,364,361,350,244]) ).

tff(368,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity))) = double_divide(c3,inverse(c3)),
    inference(monotonicity,[status(thm)],[247,367]) ).

tff(369,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),
    inference(transitivity,[status(thm)],[368,252,54,75,74,44,42,65]) ).

tff(370,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[369,91]) ).

tff(371,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = identity,
    inference(transitivity,[status(thm)],[370,52,55]) ).

tff(372,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(c3,identity),
    inference(monotonicity,[status(thm)],[247,371]) ).

tff(373,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[372,348]) ).

tff(374,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[373]) ).

tff(375,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = c3,
    inference(transitivity,[status(thm)],[374,347,246,143]) ).

tff(376,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity)) = double_divide(c3,multiply(a3,b3)),
    inference(monotonicity,[status(thm)],[375,141]) ).

tff(377,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity)) = inverse(double_divide(double_divide(c3,multiply(a3,b3)),identity)),
    inference(transitivity,[status(thm)],[376,345,344,342,339]) ).

tff(378,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),inverse(double_divide(double_divide(c3,multiply(a3,b3)),identity))),
    inference(monotonicity,[status(thm)],[377]) ).

tff(379,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(transitivity,[status(thm)],[378,334,54,75,74,44]) ).

tff(380,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[379,331]) ).

tff(381,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)),
    inference(symmetry,[status(thm)],[380]) ).

tff(382,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(383,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[382,17]) ).

tff(384,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(385,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),
    inference(unit_resolution,[status(thm)],[384,17]) ).

tff(386,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(387,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),
    inference(transitivity,[status(thm)],[386,385]) ).

tff(388,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[387,91]) ).

tff(389,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[388,126]) ).

tff(390,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[389]) ).

tff(391,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[390]) ).

tff(392,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[391]) ).

tff(393,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(394,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(unit_resolution,[status(thm)],[393,17]) ).

tff(395,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)),
    inference(transitivity,[status(thm)],[298,381]) ).

tff(396,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[395]) ).

tff(397,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[396,91]) ).

tff(398,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[397]) ).

tff(399,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[320]) ).

tff(400,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[399,398]) ).

tff(401,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)) = double_divide(c3,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(402,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)) = double_divide(c3,identity),
    inference(unit_resolution,[status(thm)],[401,17]) ).

tff(403,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[164]) ).

tff(404,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(c3,identity),
    inference(transitivity,[status(thm)],[403,402]) ).

tff(405,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[404,400]) ).

tff(406,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)),
    inference(symmetry,[status(thm)],[405]) ).

tff(407,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[164]) ).

tff(408,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(c3,identity),
    inference(transitivity,[status(thm)],[407,305,308]) ).

tff(409,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[408,400]) ).

tff(410,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)),
    inference(transitivity,[status(thm)],[409,406]) ).

tff(411,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),
    inference(monotonicity,[status(thm)],[410]) ).

tff(412,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),
    inference(symmetry,[status(thm)],[411]) ).

tff(413,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[412]) ).

tff(414,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(415,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),
    inference(unit_resolution,[status(thm)],[414,17]) ).

tff(416,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[415]) ).

tff(417,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(418,plain,
    identity = double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),
    inference(unit_resolution,[status(thm)],[417,38]) ).

tff(419,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))) = identity,
    inference(symmetry,[status(thm)],[418]) ).

tff(420,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(c3,b3),identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(421,plain,
    inverse(double_divide(double_divide(c3,b3),identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
    inference(unit_resolution,[status(thm)],[420,26]) ).

tff(422,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),identity) = inverse(double_divide(double_divide(c3,b3),identity)),
    inference(symmetry,[status(thm)],[421]) ).

tff(423,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(c3,b3),inverse(double_divide(c3,b3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(424,plain,
    identity = double_divide(double_divide(c3,b3),inverse(double_divide(c3,b3))),
    inference(unit_resolution,[status(thm)],[423,38]) ).

tff(425,plain,
    double_divide(double_divide(c3,b3),inverse(double_divide(c3,b3))) = identity,
    inference(symmetry,[status(thm)],[424]) ).

tff(426,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(c3,b3)) = double_divide(double_divide(c3,b3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(427,plain,
    inverse(double_divide(c3,b3)) = double_divide(double_divide(c3,b3),identity),
    inference(unit_resolution,[status(thm)],[426,26]) ).

tff(428,plain,
    double_divide(double_divide(c3,b3),identity) = inverse(double_divide(c3,b3)),
    inference(symmetry,[status(thm)],[427]) ).

tff(429,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(430,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity),
    inference(unit_resolution,[status(thm)],[429,17]) ).

tff(431,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity)) = double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),
    inference(monotonicity,[status(thm)],[422]) ).

tff(432,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity)) = identity,
    inference(transitivity,[status(thm)],[431,419]) ).

tff(433,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))) = double_divide(double_divide(c3,b3),identity),
    inference(monotonicity,[status(thm)],[432]) ).

tff(434,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity)) = double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),
    inference(monotonicity,[status(thm)],[433,422]) ).

tff(435,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity)),
    inference(symmetry,[status(thm)],[434]) ).

tff(436,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity)),
    inference(transitivity,[status(thm)],[90,52,55,418,435]) ).

tff(437,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
    inference(monotonicity,[status(thm)],[170]) ).

tff(438,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),
    inference(monotonicity,[status(thm)],[437,436]) ).

tff(439,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[438]) ).

tff(440,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(441,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
    inference(unit_resolution,[status(thm)],[440,17]) ).

tff(442,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(443,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
    inference(transitivity,[status(thm)],[442,441]) ).

tff(444,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),
    inference(monotonicity,[status(thm)],[443,436]) ).

tff(445,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[444,439]) ).

tff(446,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[445]) ).

tff(447,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[446]) ).

tff(448,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(449,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),
    inference(unit_resolution,[status(thm)],[448,17]) ).

tff(450,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[449]) ).

tff(451,plain,
    double_divide(double_divide(a3,inverse(a3)),identity) = inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(transitivity,[status(thm)],[42,58,50]) ).

tff(452,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(monotonicity,[status(thm)],[451]) ).

tff(453,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity)),
    inference(transitivity,[status(thm)],[452,47,418,435]) ).

tff(454,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),
    inference(monotonicity,[status(thm)],[453]) ).

tff(455,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[454,57]) ).

tff(456,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity)),
    inference(symmetry,[status(thm)],[455]) ).

tff(457,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)) = double_divide(c3,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(458,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)) = double_divide(c3,b3),
    inference(unit_resolution,[status(thm)],[457,17]) ).

tff(459,plain,
    double_divide(c3,b3) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[458]) ).

tff(460,plain,
    double_divide(c3,b3) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity)),
    inference(transitivity,[status(thm)],[459,456]) ).

tff(461,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),
    inference(monotonicity,[status(thm)],[460]) ).

tff(462,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3)) = inverse(double_divide(c3,b3)),
    inference(transitivity,[status(thm)],[461,450,447,430,428]) ).

tff(463,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))) = double_divide(double_divide(c3,b3),inverse(double_divide(c3,b3))),
    inference(monotonicity,[status(thm)],[462]) ).

tff(464,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),
    inference(transitivity,[status(thm)],[463,425,54,75,74,44,42,65]) ).

tff(465,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[464,91]) ).

tff(466,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = identity,
    inference(transitivity,[status(thm)],[465,52,55]) ).

tff(467,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(c3,b3),identity),
    inference(monotonicity,[status(thm)],[466]) ).

tff(468,plain,
    double_divide(double_divide(c3,b3),identity) = double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(symmetry,[status(thm)],[467]) ).

tff(469,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),identity) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[468,89]) ).

tff(470,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
    inference(symmetry,[status(thm)],[469]) ).

tff(471,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(472,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,b3),
    inference(unit_resolution,[status(thm)],[471,17]) ).

tff(473,plain,
    double_divide(c3,b3) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[472]) ).

tff(474,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3) = double_divide(c3,b3),
    inference(monotonicity,[status(thm)],[247]) ).

tff(475,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3) = inverse(double_divide(double_divide(c3,b3),identity)),
    inference(transitivity,[status(thm)],[474,473,470,422]) ).

tff(476,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)) = double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),
    inference(monotonicity,[status(thm)],[475]) ).

tff(477,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(transitivity,[status(thm)],[476,419,54,75,74,44]) ).

tff(478,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[477,293]) ).

tff(479,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(symmetry,[status(thm)],[478]) ).

tff(480,plain,
    identity = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(transitivity,[status(thm)],[251,258]) ).

tff(481,plain,
    double_divide(double_divide(c3,identity),identity) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[480]) ).

tff(482,plain,
    double_divide(double_divide(c3,identity),identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(transitivity,[status(thm)],[481,312,311,392,383,479]) ).

tff(483,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = b3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(484,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = b3,
    inference(unit_resolution,[status(thm)],[483,17]) ).

tff(485,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(c3,identity),inverse(double_divide(c3,identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(486,plain,
    identity = double_divide(double_divide(c3,identity),inverse(double_divide(c3,identity))),
    inference(unit_resolution,[status(thm)],[485,38]) ).

tff(487,plain,
    double_divide(double_divide(c3,identity),inverse(double_divide(c3,identity))) = identity,
    inference(symmetry,[status(thm)],[486]) ).

tff(488,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(c3,identity)) = double_divide(double_divide(c3,identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(489,plain,
    inverse(double_divide(c3,identity)) = double_divide(double_divide(c3,identity),identity),
    inference(unit_resolution,[status(thm)],[488,26]) ).

tff(490,plain,
    double_divide(double_divide(c3,identity),identity) = inverse(double_divide(c3,identity)),
    inference(symmetry,[status(thm)],[489]) ).

tff(491,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = double_divide(double_divide(c3,identity),identity),
    inference(symmetry,[status(thm)],[481]) ).

tff(492,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[383]) ).

tff(493,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)) = inverse(double_divide(c3,identity)),
    inference(transitivity,[status(thm)],[296,492,391,135,120,491,490]) ).

tff(494,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = double_divide(double_divide(c3,identity),inverse(double_divide(c3,identity))),
    inference(monotonicity,[status(thm)],[493]) ).

tff(495,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(transitivity,[status(thm)],[312,311,392,383,297]) ).

tff(496,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)))) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[495]) ).

tff(497,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[496,494,487,54,75,74,44,42]) ).

tff(498,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[497]) ).

tff(499,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))) = b3,
    inference(transitivity,[status(thm)],[498,484]) ).

tff(500,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity)) = double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[499,482]) ).

tff(501,plain,
    double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity)),
    inference(symmetry,[status(thm)],[500]) ).

tff(502,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(503,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(unit_resolution,[status(thm)],[502,17]) ).

tff(504,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(505,plain,
    double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity),
    inference(unit_resolution,[status(thm)],[504,17]) ).

tff(506,plain,
    double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(507,plain,
    double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(c3,b3),identity),
    inference(transitivity,[status(thm)],[506,505]) ).

tff(508,plain,
    double_divide(double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
    inference(monotonicity,[status(thm)],[507,92]) ).

tff(509,plain,
    double_divide(double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity)),
    inference(transitivity,[status(thm)],[508,469,472,459,456]) ).

tff(510,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),
    inference(monotonicity,[status(thm)],[509]) ).

tff(511,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(c3,b3),identity),
    inference(transitivity,[status(thm)],[510,450,447,430]) ).

tff(512,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
    inference(monotonicity,[status(thm)],[511,116]) ).

tff(513,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),identity) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[512]) ).

tff(514,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),identity) = double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity)),
    inference(transitivity,[status(thm)],[513,503,501]) ).

tff(515,plain,
    double_divide(c3,b3) = inverse(double_divide(double_divide(c3,b3),identity)),
    inference(transitivity,[status(thm)],[473,470,422]) ).

tff(516,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3)) = double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),
    inference(monotonicity,[status(thm)],[515]) ).

tff(517,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3)) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(transitivity,[status(thm)],[516,419,251,258]) ).

tff(518,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[517]) ).

tff(519,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),
    inference(monotonicity,[status(thm)],[518,514]) ).

tff(520,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity)),
    inference(symmetry,[status(thm)],[519]) ).

tff(521,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(522,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),
    inference(unit_resolution,[status(thm)],[521,17]) ).

tff(523,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(524,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[523,17]) ).

tff(525,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(526,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(transitivity,[status(thm)],[525,524]) ).

tff(527,plain,
    double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[526,91]) ).

tff(528,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[527]) ).

tff(529,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(530,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[529,17]) ).

tff(531,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(532,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(transitivity,[status(thm)],[531,530]) ).

tff(533,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[532,91]) ).

tff(534,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[533,528]) ).

tff(535,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[534]) ).

tff(536,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[535]) ).

tff(537,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[536]) ).

tff(538,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(539,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),
    inference(unit_resolution,[status(thm)],[538,17]) ).

tff(540,plain,
    double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[539]) ).

tff(541,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(b3) = double_divide(b3,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(542,plain,
    inverse(b3) = double_divide(b3,identity),
    inference(unit_resolution,[status(thm)],[541,26]) ).

tff(543,plain,
    double_divide(b3,identity) = inverse(b3),
    inference(symmetry,[status(thm)],[542]) ).

tff(544,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(b3,inverse(b3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(545,plain,
    identity = double_divide(b3,inverse(b3)),
    inference(unit_resolution,[status(thm)],[544,38]) ).

tff(546,plain,
    double_divide(b3,inverse(b3)) = identity,
    inference(symmetry,[status(thm)],[545]) ).

tff(547,plain,
    double_divide(b3,double_divide(b3,identity)) = double_divide(b3,inverse(b3)),
    inference(monotonicity,[status(thm)],[543]) ).

tff(548,plain,
    double_divide(b3,double_divide(b3,identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[547,546,54,75,74,44,42]) ).

tff(549,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[548]) ).

tff(550,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))) = b3,
    inference(transitivity,[status(thm)],[549,484]) ).

tff(551,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity)) = double_divide(b3,inverse(b3)),
    inference(monotonicity,[status(thm)],[550,543]) ).

tff(552,plain,
    double_divide(b3,inverse(b3)) = double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity)),
    inference(symmetry,[status(thm)],[551]) ).

tff(553,plain,
    double_divide(identity,identity) = double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity)),
    inference(transitivity,[status(thm)],[41,86,85,52,55,545,552]) ).

tff(554,plain,
    double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[503]) ).

tff(555,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(556,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),
    inference(unit_resolution,[status(thm)],[555,17]) ).

tff(557,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[148]) ).

tff(558,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))) = c3,
    inference(transitivity,[status(thm)],[557,556,246,143]) ).

tff(559,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)) = double_divide(c3,multiply(a3,b3)),
    inference(monotonicity,[status(thm)],[558,141]) ).

tff(560,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)),
    inference(transitivity,[status(thm)],[559,152]) ).

tff(561,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),
    inference(monotonicity,[status(thm)],[560]) ).

tff(562,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(transitivity,[status(thm)],[561,138,135,120]) ).

tff(563,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[562]) ).

tff(564,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(565,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[564,17]) ).

tff(566,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[565]) ).

tff(567,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(transitivity,[status(thm)],[90,52,55,251,258]) ).

tff(568,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(c3,identity),
    inference(monotonicity,[status(thm)],[247,170]) ).

tff(569,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[568,567]) ).

tff(570,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[569]) ).

tff(571,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(572,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,identity),
    inference(unit_resolution,[status(thm)],[571,17]) ).

tff(573,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(574,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(c3,identity),
    inference(transitivity,[status(thm)],[573,572]) ).

tff(575,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[574,567]) ).

tff(576,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[575,570]) ).

tff(577,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[576]) ).

tff(578,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(c3,identity),
    inference(transitivity,[status(thm)],[577,566,563,305,308]) ).

tff(579,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[578,348]) ).

tff(580,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(581,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[580,17]) ).

tff(582,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[581]) ).

tff(583,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(transitivity,[status(thm)],[298,479]) ).

tff(584,plain,
    double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))) = double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[583]) ).

tff(585,plain,
    double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[584,91]) ).

tff(586,plain,
    double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[585]) ).

tff(587,plain,
    double_divide(double_divide(c3,b3),identity) = double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[505]) ).

tff(588,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3)) = double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[461,450,447,430,587,586]) ).

tff(589,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))) = double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[588]) ).

tff(590,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[589,91]) ).

tff(591,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[590]) ).

tff(592,plain,
    b3 = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[484]) ).

tff(593,plain,
    b3 = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[592,591]) ).

tff(594,plain,
    double_divide(double_divide(c3,b3),b3) = double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[593]) ).

tff(595,plain,
    double_divide(double_divide(c3,b3),b3) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)),
    inference(transitivity,[status(thm)],[594,582,579,312,311,392,383,479]) ).

tff(596,plain,
    double_divide(b3,double_divide(double_divide(c3,b3),b3)) = double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),b3)),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[595]) ).

tff(597,plain,
    double_divide(b3,double_divide(double_divide(c3,b3),b3)) = double_divide(c3,b3),
    inference(transitivity,[status(thm)],[596,554,512,469,472]) ).

tff(598,plain,
    double_divide(double_divide(b3,double_divide(double_divide(c3,b3),b3)),double_divide(double_divide(c3,b3),identity)) = double_divide(double_divide(c3,b3),inverse(double_divide(c3,b3))),
    inference(monotonicity,[status(thm)],[597,428]) ).

tff(599,plain,
    double_divide(double_divide(b3,double_divide(double_divide(c3,b3),b3)),double_divide(double_divide(c3,b3),identity)) = identity,
    inference(transitivity,[status(thm)],[598,425]) ).

tff(600,plain,
    double_divide(b3,double_divide(double_divide(b3,double_divide(double_divide(c3,b3),b3)),double_divide(double_divide(c3,b3),identity))) = double_divide(b3,identity),
    inference(monotonicity,[status(thm)],[599]) ).

tff(601,plain,
    double_divide(double_divide(b3,double_divide(double_divide(b3,double_divide(double_divide(c3,b3),b3)),double_divide(double_divide(c3,b3),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),
    inference(monotonicity,[status(thm)],[600,553]) ).

tff(602,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(b3,double_divide(double_divide(b3,double_divide(double_divide(c3,b3),b3)),double_divide(double_divide(c3,b3),identity))),double_divide(identity,identity)) = b3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(603,plain,
    double_divide(double_divide(b3,double_divide(double_divide(b3,double_divide(double_divide(c3,b3),b3)),double_divide(double_divide(c3,b3),identity))),double_divide(identity,identity)) = b3,
    inference(unit_resolution,[status(thm)],[602,17]) ).

tff(604,plain,
    b3 = double_divide(double_divide(b3,double_divide(double_divide(b3,double_divide(double_divide(c3,b3),b3)),double_divide(double_divide(c3,b3),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[603]) ).

tff(605,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),identity) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[89]) ).

tff(606,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),identity) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity)),
    inference(transitivity,[status(thm)],[605,484,604,601,540,537,522,520]) ).

tff(607,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(identity,identity)) = double_divide(c3,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(608,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(identity,identity)) = double_divide(c3,b3),
    inference(unit_resolution,[status(thm)],[607,17]) ).

tff(609,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(610,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(c3,b3),
    inference(transitivity,[status(thm)],[609,458]) ).

tff(611,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(c3,b3),identity),
    inference(monotonicity,[status(thm)],[610,92]) ).

tff(612,plain,
    double_divide(double_divide(c3,b3),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[611]) ).

tff(613,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))) = inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)))),
    inference(transitivity,[status(thm)],[241,240,238]) ).

tff(614,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))))),
    inference(monotonicity,[status(thm)],[313,613]) ).

tff(615,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)))) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(transitivity,[status(thm)],[614,235,54,75,74,44]) ).

tff(616,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)))),double_divide(double_divide(c3,b3),identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[615,612]) ).

tff(617,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)))),double_divide(double_divide(c3,b3),identity)),
    inference(symmetry,[status(thm)],[616]) ).

tff(618,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,b3),identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[612]) ).

tff(619,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,b3),identity)) = double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)))),double_divide(double_divide(c3,b3),identity)),
    inference(transitivity,[status(thm)],[618,617]) ).

tff(620,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,b3),identity))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)))),double_divide(double_divide(c3,b3),identity))),
    inference(monotonicity,[status(thm)],[619]) ).

tff(621,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,b3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)))),double_divide(double_divide(c3,b3),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[620,91]) ).

tff(622,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)))),double_divide(double_divide(c3,b3),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,b3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[621]) ).

tff(623,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)))),double_divide(double_divide(c3,b3),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(624,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)))),double_divide(double_divide(c3,b3),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),
    inference(unit_resolution,[status(thm)],[623,17]) ).

tff(625,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)))),double_divide(double_divide(c3,b3),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[624]) ).

tff(626,plain,
    double_divide(double_divide(c3,identity),identity) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,b3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[481,625,622]) ).

tff(627,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity)))) = identity,
    inference(transitivity,[status(thm)],[496,494,487]) ).

tff(628,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))) = double_divide(double_divide(c3,b3),identity),
    inference(monotonicity,[status(thm)],[627]) ).

tff(629,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,b3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[628,626]) ).

tff(630,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,b3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity)),
    inference(symmetry,[status(thm)],[629]) ).

tff(631,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(632,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity),
    inference(unit_resolution,[status(thm)],[631,17]) ).

tff(633,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[497]) ).

tff(634,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))) = double_divide(double_divide(c3,b3),identity),
    inference(transitivity,[status(thm)],[633,632]) ).

tff(635,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity)),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(c3,b3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[634,626]) ).

tff(636,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity)),
    inference(transitivity,[status(thm)],[635,630]) ).

tff(637,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),
    inference(monotonicity,[status(thm)],[636]) ).

tff(638,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[637]) ).

tff(639,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(640,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(unit_resolution,[status(thm)],[639,17]) ).

tff(641,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))) = double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(c3,identity),double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))))),double_divide(double_divide(c3,identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[640]) ).

tff(642,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity)),
    inference(transitivity,[status(thm)],[469,472,459,456]) ).

tff(643,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[89]) ).

tff(644,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity),
    inference(symmetry,[status(thm)],[643]) ).

tff(645,plain,
    double_divide(multiply(b3,c3),a3) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[31]) ).

tff(646,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(b3,c3) = double_divide(double_divide(c3,b3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(647,plain,
    multiply(b3,c3) = double_divide(double_divide(c3,b3),identity),
    inference(unit_resolution,[status(thm)],[646,7]) ).

tff(648,plain,
    double_divide(double_divide(c3,b3),identity) = multiply(b3,c3),
    inference(symmetry,[status(thm)],[647]) ).

tff(649,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),a3) = double_divide(multiply(b3,c3),a3),
    inference(monotonicity,[status(thm)],[648]) ).

tff(650,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),a3) = inverse(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity)))),
    inference(transitivity,[status(thm)],[649,645,644,181]) ).

tff(651,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),a3)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),inverse(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),
    inference(monotonicity,[status(thm)],[650]) ).

tff(652,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),a3)) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(transitivity,[status(thm)],[651,178,54,75,74,44]) ).

tff(653,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),
    inference(monotonicity,[status(thm)],[652,642]) ).

tff(654,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity)),
    inference(symmetry,[status(thm)],[653]) ).

tff(655,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity)),
    inference(transitivity,[status(thm)],[461,654]) ).

tff(656,plain,
    double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))) = double_divide(a3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),
    inference(monotonicity,[status(thm)],[655]) ).

tff(657,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[656,91]) ).

tff(658,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[657]) ).

tff(659,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(660,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),
    inference(unit_resolution,[status(thm)],[659,17]) ).

tff(661,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[660]) ).

tff(662,plain,
    double_divide(double_divide(multiply(b3,c3),a3),identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[19]) ).

tff(663,plain,
    double_divide(double_divide(multiply(b3,c3),a3),identity) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[662,109,112,661,658]) ).

tff(664,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))) = inverse(double_divide(multiply(b3,c3),a3)),
    inference(transitivity,[status(thm)],[113,110,19,29]) ).

tff(665,plain,
    double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity)))) = double_divide(double_divide(multiply(b3,c3),a3),inverse(double_divide(multiply(b3,c3),a3))),
    inference(monotonicity,[status(thm)],[664]) ).

tff(666,plain,
    double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity)))) = identity,
    inference(transitivity,[status(thm)],[665,78]) ).

tff(667,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
    inference(monotonicity,[status(thm)],[666]) ).

tff(668,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))) = double_divide(c3,b3),
    inference(transitivity,[status(thm)],[667,469,472]) ).

tff(669,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[668,663]) ).

tff(670,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(symmetry,[status(thm)],[669]) ).

tff(671,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(672,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[671,17]) ).

tff(673,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(transitivity,[status(thm)],[93,52,55,77,84]) ).

tff(674,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(monotonicity,[status(thm)],[673]) ).

tff(675,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[674,91]) ).

tff(676,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[675]) ).

tff(677,plain,
    double_divide(double_divide(multiply(b3,c3),a3),identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[662,109,676]) ).

tff(678,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(679,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),
    inference(unit_resolution,[status(thm)],[678,17]) ).

tff(680,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(681,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),
    inference(transitivity,[status(thm)],[680,679]) ).

tff(682,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[681,91]) ).

tff(683,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity)),
    inference(transitivity,[status(thm)],[682,456]) ).

tff(684,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),
    inference(monotonicity,[status(thm)],[683]) ).

tff(685,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(c3,b3),identity),
    inference(transitivity,[status(thm)],[684,450,447,430]) ).

tff(686,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
    inference(monotonicity,[status(thm)],[685,116]) ).

tff(687,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(688,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[687,17]) ).

tff(689,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[688]) ).

tff(690,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(691,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(c3,b3),
    inference(unit_resolution,[status(thm)],[690,17]) ).

tff(692,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(693,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(c3,b3),
    inference(transitivity,[status(thm)],[692,691]) ).

tff(694,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(c3,b3),identity),
    inference(monotonicity,[status(thm)],[693,92]) ).

tff(695,plain,
    double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[694,612]) ).

tff(696,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[695]) ).

tff(697,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(c3,b3),
    inference(transitivity,[status(thm)],[696,689,686,469,472]) ).

tff(698,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity),
    inference(monotonicity,[status(thm)],[697,116]) ).

tff(699,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(700,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[699,17]) ).

tff(701,plain,
    double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[700]) ).

tff(702,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(703,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),identity),
    inference(unit_resolution,[status(thm)],[702,17]) ).

tff(704,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(705,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(transitivity,[status(thm)],[704,269]) ).

tff(706,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[705,91]) ).

tff(707,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[706,676]) ).

tff(708,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[707]) ).

tff(709,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[708]) ).

tff(710,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(711,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[710,17]) ).

tff(712,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[711]) ).

tff(713,plain,
    double_divide(multiply(b3,c3),a3) = double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[645,273]) ).

tff(714,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[713]) ).

tff(715,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3)) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[714,712,709,703,662,109,112,661,658]) ).

tff(716,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))) = double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[715]) ).

tff(717,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[716,91]) ).

tff(718,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[717]) ).

tff(719,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(720,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = a3,
    inference(unit_resolution,[status(thm)],[719,17]) ).

tff(721,plain,
    a3 = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[720]) ).

tff(722,plain,
    a3 = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[721,718]) ).

tff(723,plain,
    double_divide(double_divide(multiply(b3,c3),a3),a3) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[722]) ).

tff(724,plain,
    double_divide(double_divide(multiply(b3,c3),a3),a3) = inverse(double_divide(c3,b3)),
    inference(transitivity,[status(thm)],[723,701,698,428]) ).

tff(725,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(multiply(b3,c3),a3),a3)) = double_divide(double_divide(c3,b3),inverse(double_divide(c3,b3))),
    inference(monotonicity,[status(thm)],[724]) ).

tff(726,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(multiply(b3,c3),a3),a3)) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(transitivity,[status(thm)],[725,425,54,75,74,44]) ).

tff(727,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(multiply(b3,c3),a3),a3)),double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[726,677]) ).

tff(728,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(multiply(b3,c3),a3),a3)),double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(symmetry,[status(thm)],[727]) ).

tff(729,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(730,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[729,17]) ).

tff(731,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[195,190,54,75,74,44,42]) ).

tff(732,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[731]) ).

tff(733,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),
    inference(transitivity,[status(thm)],[732,703,198]) ).

tff(734,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity)),
    inference(monotonicity,[status(thm)],[733]) ).

tff(735,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[734]) ).

tff(736,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[735]) ).

tff(737,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[736]) ).

tff(738,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(multiply(b3,c3),a3),a3)),double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(transitivity,[status(thm)],[643,737,730,728]) ).

tff(739,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(740,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = a3,
    inference(unit_resolution,[status(thm)],[739,17]) ).

tff(741,plain,
    double_divide(multiply(b3,c3),a3) = inverse(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity)))),
    inference(transitivity,[status(thm)],[645,644,181]) ).

tff(742,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),inverse(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),
    inference(monotonicity,[status(thm)],[741]) ).

tff(743,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[742,178,54,75,74,44,42]) ).

tff(744,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))) = double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[743]) ).

tff(745,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))) = a3,
    inference(transitivity,[status(thm)],[744,740]) ).

tff(746,plain,
    double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)) = double_divide(a3,double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(multiply(b3,c3),a3),a3)),double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(monotonicity,[status(thm)],[745,738]) ).

tff(747,plain,
    double_divide(a3,double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(multiply(b3,c3),a3),a3)),double_divide(double_divide(multiply(b3,c3),a3),identity))) = double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)),
    inference(symmetry,[status(thm)],[746]) ).

tff(748,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[743]) ).

tff(749,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))) = a3,
    inference(transitivity,[status(thm)],[748,720]) ).

tff(750,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)) = double_divide(a3,double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(multiply(b3,c3),a3),a3)),double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(monotonicity,[status(thm)],[749,738]) ).

tff(751,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity)),
    inference(transitivity,[status(thm)],[750,747]) ).

tff(752,plain,
    double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[751]) ).

tff(753,plain,
    double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),
    inference(symmetry,[status(thm)],[752]) ).

tff(754,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[753]) ).

tff(755,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(756,plain,
    double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(unit_resolution,[status(thm)],[755,17]) ).

tff(757,plain,
    double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[756]) ).

tff(758,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(759,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = b3,
    inference(transitivity,[status(thm)],[758,484]) ).

tff(760,plain,
    double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(b3,identity),
    inference(monotonicity,[status(thm)],[759,92]) ).

tff(761,plain,
    double_divide(b3,identity) = double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[760]) ).

tff(762,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(b3,a3),identity),inverse(double_divide(double_divide(b3,a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(763,plain,
    identity = double_divide(double_divide(double_divide(b3,a3),identity),inverse(double_divide(double_divide(b3,a3),identity))),
    inference(unit_resolution,[status(thm)],[762,38]) ).

tff(764,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),inverse(double_divide(double_divide(b3,a3),identity))) = identity,
    inference(symmetry,[status(thm)],[763]) ).

tff(765,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(double_divide(b3,a3),identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(766,plain,
    inverse(double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(double_divide(b3,a3),identity),identity),
    inference(unit_resolution,[status(thm)],[765,26]) ).

tff(767,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),identity) = inverse(double_divide(double_divide(b3,a3),identity)),
    inference(symmetry,[status(thm)],[766]) ).

tff(768,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)))),
    inference(transitivity,[status(thm)],[231,128,241,240,238]) ).

tff(769,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity)),
    inference(transitivity,[status(thm)],[376,152]) ).

tff(770,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),
    inference(monotonicity,[status(thm)],[769]) ).

tff(771,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))))),
    inference(monotonicity,[status(thm)],[770,768]) ).

tff(772,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))),inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)),
    inference(symmetry,[status(thm)],[771]) ).

tff(773,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)),
    inference(transitivity,[status(thm)],[234,772]) ).

tff(774,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),identity) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[773]) ).

tff(775,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))) = double_divide(double_divide(double_divide(b3,a3),identity),identity),
    inference(symmetry,[status(thm)],[774]) ).

tff(776,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(777,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),
    inference(unit_resolution,[status(thm)],[776,17]) ).

tff(778,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)),
    inference(transitivity,[status(thm)],[90,52,55,234,772]) ).

tff(779,plain,
    double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(b3,a3),identity),
    inference(monotonicity,[status(thm)],[170]) ).

tff(780,plain,
    double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[779,778]) ).

tff(781,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[780]) ).

tff(782,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(783,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity),
    inference(unit_resolution,[status(thm)],[782,17]) ).

tff(784,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(785,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))) = double_divide(double_divide(b3,a3),identity),
    inference(transitivity,[status(thm)],[784,783]) ).

tff(786,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[785,778]) ).

tff(787,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[786,781]) ).

tff(788,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[787]) ).

tff(789,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(symmetry,[status(thm)],[788]) ).

tff(790,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[789]) ).

tff(791,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(b3,a3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(792,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(b3,a3),
    inference(unit_resolution,[status(thm)],[791,17]) ).

tff(793,plain,
    double_divide(b3,a3) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[792]) ).

tff(794,plain,
    double_divide(b3,a3) = inverse(double_divide(double_divide(b3,a3),identity)),
    inference(transitivity,[status(thm)],[793,790,777,775,767]) ).

tff(795,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)) = double_divide(double_divide(double_divide(b3,a3),identity),inverse(double_divide(double_divide(b3,a3),identity))),
    inference(monotonicity,[status(thm)],[794]) ).

tff(796,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(transitivity,[status(thm)],[795,764,54,75,74,44]) ).

tff(797,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)),double_divide(b3,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[796,761]) ).

tff(798,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)),double_divide(b3,identity)),
    inference(symmetry,[status(thm)],[797]) ).

tff(799,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[761]) ).

tff(800,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)),double_divide(b3,identity)),
    inference(transitivity,[status(thm)],[799,798]) ).

tff(801,plain,
    double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))) = double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)),double_divide(b3,identity))),
    inference(monotonicity,[status(thm)],[800]) ).

tff(802,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)),double_divide(b3,identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[801,91]) ).

tff(803,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(symmetry,[status(thm)],[802]) ).

tff(804,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(805,plain,
    double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity),
    inference(unit_resolution,[status(thm)],[804,17]) ).

tff(806,plain,
    double_divide(double_divide(b3,a3),identity) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)),double_divide(b3,identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[805]) ).

tff(807,plain,
    double_divide(double_divide(b3,a3),identity) = double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)),
    inference(transitivity,[status(thm)],[806,803]) ).

tff(808,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(b3,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(809,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(b3,identity),
    inference(unit_resolution,[status(thm)],[808,17]) ).

tff(810,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B )
    | ( double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(double_divide(a3,inverse(a3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(811,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(unit_resolution,[status(thm)],[810,17]) ).

tff(812,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,double_divide(b3,identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[66,548]) ).

tff(813,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,double_divide(b3,identity))) = double_divide(double_divide(a3,inverse(a3)),identity),
    inference(transitivity,[status(thm)],[812,74,44]) ).

tff(814,plain,
    double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity)) = double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[813,761]) ).

tff(815,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(double_divide(a3,inverse(a3)),identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity)),
    inference(symmetry,[status(thm)],[814]) ).

tff(816,plain,
    double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity)) = double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity)),
    inference(transitivity,[status(thm)],[799,815]) ).

tff(817,plain,
    double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))) = double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),
    inference(monotonicity,[status(thm)],[816]) ).

tff(818,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[817,91]) ).

tff(819,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity)),
    inference(transitivity,[status(thm)],[818,811,86,85,52,55,545,552]) ).

tff(820,plain,
    double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),
    inference(monotonicity,[status(thm)],[819]) ).

tff(821,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[820]) ).

tff(822,plain,
    double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[821]) ).

tff(823,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(double_divide(double_divide(b3,identity),double_divide(double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(b3,double_divide(b3,identity))),double_divide(b3,identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[524]) ).

tff(824,plain,
    double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))) = double_divide(b3,identity),
    inference(transitivity,[status(thm)],[823,822,809]) ).

tff(825,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(b3,identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(b3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),
    inference(monotonicity,[status(thm)],[824,807]) ).

tff(826,plain,
    double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity)),
    inference(transitivity,[status(thm)],[825,757,754,672,670]) ).

tff(827,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))))),double_divide(double_divide(multiply(b3,c3),a3),identity))),
    inference(monotonicity,[status(thm)],[826]) ).

tff(828,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity))) = double_divide(c3,b3),
    inference(transitivity,[status(thm)],[827,641,638,608]) ).

tff(829,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(c3,b3))),double_divide(double_divide(double_divide(c3,b3),identity),identity))),
    inference(monotonicity,[status(thm)],[828,606]) ).

tff(830,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity)),
    inference(transitivity,[status(thm)],[829,416,413,394,312,311,392,383,381]) ).

tff(831,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),identity))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(c3,b3))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),identity))),identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[830]) ).

tff(832,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),identity))) = double_divide(c3,multiply(a3,b3)),
    inference(transitivity,[status(thm)],[831,330,327,118]) ).

tff(833,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(monotonicity,[status(thm)],[832,116]) ).

tff(834,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(c3,multiply(a3,b3)),identity))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(double_divide(c3,b3),identity),identity))),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(c3,identity),double_divide(double_divide(b3,double_divide(double_divide(double_divide(a3,inverse(a3)),identity),double_divide(c3,identity))),double_divide(double_divide(double_divide(a3,inverse(a3)),identity),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[833]) ).

tff(835,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(multiply(a3,b3),c3) = double_divide(double_divide(c3,multiply(a3,b3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(836,plain,
    multiply(multiply(a3,b3),c3) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(unit_resolution,[status(thm)],[835,7]) ).

tff(837,plain,
    multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
    inference(transitivity,[status(thm)],[836,834,115,113,110,19,10]) ).

tff(838,plain,
    ( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
  <=> ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(839,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

tff(840,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(modus_ponens,[status(thm)],[839,838]) ).

tff(841,plain,
    $false,
    inference(unit_resolution,[status(thm)],[840,837]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP575-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Aug 31 17:56:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33  Usage: tptp [options] [-file:]file
% 0.12/0.33    -h, -?       prints this message.
% 0.12/0.33    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.33    -m, -model   generate model.
% 0.12/0.33    -p, -proof   generate proof.
% 0.12/0.33    -c, -core    generate unsat core of named formulas.
% 0.12/0.33    -st, -statistics display statistics.
% 0.12/0.33    -t:timeout   set timeout (in second).
% 0.12/0.33    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.33    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33    -<param>:<value> configuration parameter and value.
% 0.12/0.33    -o:<output-file> file to place output in.
% 1.13/0.99  % SZS status Unsatisfiable
% 1.13/0.99  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------