%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GRP456-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n027.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 22:27:35 EDT 2022

% Result   : Unsatisfiable 9.33s 6.20s
% Output   : Proof 9.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   69
%            Number of leaves      :   99
% Syntax   : Number of formulae    :  710 ( 615 unt;   6 typ;   0 def)
%            Number of atoms       :  799 ( 795 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  178 (  86   ~;  82   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   27 (   3 avg)
%            Number of FOOLs       :    3 (   3 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  282 ( 276   !;   0   ?; 282   :)

% 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(divide_type,type,
    divide: ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(19,plain,
    divide(divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[18,17]) ).

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

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

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

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

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

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

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

tff(27,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(identity,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(28,plain,
    identity = divide(identity,identity),
    inference(unit_resolution,[status(thm)],[27,26]) ).

tff(29,plain,
    divide(identity,identity) = identity,
    inference(symmetry,[status(thm)],[28]) ).

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

tff(31,plain,
    divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(identity,b3)) = identity,
    inference(unit_resolution,[status(thm)],[30,17]) ).

tff(32,plain,
    divide(divide(identity,identity),identity) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[29]) ).

tff(33,plain,
    divide(divide(identity,identity),identity) = identity,
    inference(transitivity,[status(thm)],[32,29]) ).

tff(34,plain,
    divide(divide(divide(identity,identity),identity),b3) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[33]) ).

tff(35,plain,
    divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(divide(divide(identity,identity),identity),b3)) = divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[34]) ).

tff(36,plain,
    divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(divide(divide(identity,identity),identity),b3)) = identity,
    inference(transitivity,[status(thm)],[35,31]) ).

tff(37,plain,
    divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(divide(divide(identity,identity),identity),b3))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[36]) ).

tff(38,plain,
    divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(divide(divide(identity,identity),identity),b3))) = identity,
    inference(transitivity,[status(thm)],[37,29]) ).

tff(39,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(divide(divide(identity,identity),identity),b3)))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[38]) ).

tff(40,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(divide(divide(identity,identity),identity),b3)))) = identity,
    inference(transitivity,[status(thm)],[39,29]) ).

tff(41,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(divide(divide(identity,identity),identity),b3)))),b3) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[40]) ).

tff(42,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(divide(divide(identity,identity),identity),b3)))),b3) = divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(43,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(divide(divide(identity,identity),identity),b3)))),b3) = divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),
    inference(unit_resolution,[status(thm)],[42,17]) ).

tff(44,plain,
    divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),divide(divide(divide(identity,identity),identity),b3)))),b3),
    inference(symmetry,[status(thm)],[43]) ).

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

tff(46,plain,
    identity = divide(divide(identity,b3),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[45,26]) ).

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

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

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

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

tff(51,plain,
    divide(divide(b3,b3),b3) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[50]) ).

tff(52,plain,
    divide(divide(divide(b3,b3),b3),divide(identity,b3)) = divide(divide(identity,b3),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[51]) ).

tff(53,plain,
    divide(divide(divide(b3,b3),b3),divide(identity,b3)) = identity,
    inference(transitivity,[status(thm)],[52,47]) ).

tff(54,plain,
    divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[53]) ).

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

tff(56,plain,
    divide(divide(divide(identity,identity),identity),identity) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[33]) ).

tff(57,plain,
    divide(divide(divide(identity,identity),identity),identity) = divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))),
    inference(transitivity,[status(thm)],[56,55]) ).

tff(58,plain,
    divide(b3,divide(divide(divide(identity,identity),identity),identity)) = divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3)))),
    inference(monotonicity,[status(thm)],[57]) ).

tff(59,plain,
    divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[58]) ).

tff(60,plain,
    divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity))) = divide(identity,b3),
    inference(transitivity,[status(thm)],[59,44,41]) ).

tff(61,plain,
    divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity)))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[46,60]) ).

tff(62,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)) = divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity)))),
    inference(symmetry,[status(thm)],[61]) ).

tff(63,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity)))),identity) = b3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(64,plain,
    divide(divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity)))),identity) = b3,
    inference(unit_resolution,[status(thm)],[63,17]) ).

tff(65,plain,
    divide(divide(divide(identity,identity),identity),identity) = identity,
    inference(transitivity,[status(thm)],[56,29]) ).

tff(66,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),identity)) = divide(divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(monotonicity,[status(thm)],[62,65]) ).

tff(67,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),identity)) = b3,
    inference(transitivity,[status(thm)],[66,64]) ).

tff(68,plain,
    divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),identity))) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[67]) ).

tff(69,plain,
    divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),identity)))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[46,68]) ).

tff(70,plain,
    divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),identity)))) = divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity)))),
    inference(transitivity,[status(thm)],[69,62]) ).

tff(71,plain,
    divide(divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(monotonicity,[status(thm)],[70]) ).

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

tff(73,plain,
    b3 = divide(divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(symmetry,[status(thm)],[64]) ).

tff(74,plain,
    b3 = divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),
    inference(transitivity,[status(thm)],[73,72,19]) ).

tff(75,plain,
    divide(b3,divide(identity,c3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[74]) ).

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

tff(77,plain,
    multiply(b3,c3) = divide(b3,divide(identity,c3)),
    inference(unit_resolution,[status(thm)],[76,7]) ).

tff(78,plain,
    multiply(b3,c3) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),
    inference(transitivity,[status(thm)],[77,75]) ).

tff(79,plain,
    divide(identity,multiply(b3,c3)) = divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(monotonicity,[status(thm)],[78]) ).

tff(80,plain,
    divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(monotonicity,[status(thm)],[51]) ).

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

tff(82,plain,
    divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(symmetry,[status(thm)],[81]) ).

tff(83,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(84,plain,
    divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(unit_resolution,[status(thm)],[83,17]) ).

tff(85,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(symmetry,[status(thm)],[84]) ).

tff(86,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(87,plain,
    divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(unit_resolution,[status(thm)],[86,17]) ).

tff(88,plain,
    divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[51]) ).

tff(89,plain,
    divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[88]) ).

tff(90,plain,
    divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(transitivity,[status(thm)],[89,87,85,82]) ).

tff(91,plain,
    divide(b3,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(monotonicity,[status(thm)],[90]) ).

tff(92,plain,
    divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),
    inference(monotonicity,[status(thm)],[91]) ).

tff(93,plain,
    divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(symmetry,[status(thm)],[92]) ).

tff(94,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(95,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),
    inference(unit_resolution,[status(thm)],[94,17]) ).

tff(96,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(97,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = identity,
    inference(unit_resolution,[status(thm)],[96,17]) ).

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

tff(99,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(100,plain,
    divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = a3,
    inference(unit_resolution,[status(thm)],[99,17]) ).

tff(101,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(102,plain,
    divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = identity,
    inference(unit_resolution,[status(thm)],[101,17]) ).

tff(103,plain,
    divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[33]) ).

tff(104,plain,
    divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(monotonicity,[status(thm)],[103]) ).

tff(105,plain,
    divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = identity,
    inference(transitivity,[status(thm)],[104,102]) ).

tff(106,plain,
    divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[105]) ).

tff(107,plain,
    divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = identity,
    inference(transitivity,[status(thm)],[106,29]) ).

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

tff(109,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = identity,
    inference(transitivity,[status(thm)],[108,29]) ).

tff(110,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[109]) ).

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

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

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

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

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

tff(116,plain,
    divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(monotonicity,[status(thm)],[33]) ).

tff(117,plain,
    divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[116]) ).

tff(118,plain,
    divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = a3,
    inference(transitivity,[status(thm)],[117,100]) ).

tff(119,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(a3,a3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(120,plain,
    identity = divide(a3,a3),
    inference(unit_resolution,[status(thm)],[119,26]) ).

tff(121,plain,
    divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(a3,a3),a3),
    inference(monotonicity,[status(thm)],[120,118]) ).

tff(122,plain,
    divide(divide(a3,a3),a3) = divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(symmetry,[status(thm)],[121]) ).

tff(123,plain,
    divide(divide(identity,identity),identity) = divide(a3,a3),
    inference(transitivity,[status(thm)],[32,29,120]) ).

tff(124,plain,
    divide(divide(divide(identity,identity),identity),a3) = divide(divide(a3,a3),a3),
    inference(monotonicity,[status(thm)],[123]) ).

tff(125,plain,
    divide(divide(divide(identity,identity),identity),a3) = divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[124,122]) ).

tff(126,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),a3)) = divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[125]) ).

tff(127,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(divide(divide(identity,identity),identity),a3)),
    inference(symmetry,[status(thm)],[126]) ).

tff(128,plain,
    divide(a3,a3) = identity,
    inference(symmetry,[status(thm)],[120]) ).

tff(129,plain,
    divide(divide(a3,a3),a3) = divide(identity,a3),
    inference(monotonicity,[status(thm)],[128]) ).

tff(130,plain,
    divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,a3),
    inference(transitivity,[status(thm)],[121,129]) ).

tff(131,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(identity,a3)),
    inference(monotonicity,[status(thm)],[130]) ).

tff(132,plain,
    divide(identity,divide(identity,a3)) = divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(symmetry,[status(thm)],[131]) ).

tff(133,plain,
    divide(identity,divide(identity,a3)) = divide(identity,divide(divide(divide(identity,identity),identity),a3)),
    inference(transitivity,[status(thm)],[132,127]) ).

tff(134,plain,
    divide(identity,divide(identity,divide(identity,a3))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3))),
    inference(monotonicity,[status(thm)],[133]) ).

tff(135,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3))) = divide(identity,divide(identity,divide(identity,a3))),
    inference(symmetry,[status(thm)],[134]) ).

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

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

tff(138,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(139,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = identity,
    inference(unit_resolution,[status(thm)],[138,17]) ).

tff(140,plain,
    divide(divide(divide(identity,identity),identity),c3) = divide(identity,c3),
    inference(monotonicity,[status(thm)],[33]) ).

tff(141,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)) = divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[140]) ).

tff(142,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)) = identity,
    inference(transitivity,[status(thm)],[141,139]) ).

tff(143,plain,
    divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[142]) ).

tff(144,plain,
    divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3))) = identity,
    inference(transitivity,[status(thm)],[143,29]) ).

tff(145,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[144]) ).

tff(146,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)))) = identity,
    inference(transitivity,[status(thm)],[145,29]) ).

tff(147,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)))),c3) = divide(identity,c3),
    inference(monotonicity,[status(thm)],[146]) ).

tff(148,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)))),c3) = divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(149,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)))),c3) = divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(unit_resolution,[status(thm)],[148,17]) ).

tff(150,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)))),c3),
    inference(symmetry,[status(thm)],[149]) ).

tff(151,plain,
    divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[33]) ).

tff(152,plain,
    divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,c3),
    inference(transitivity,[status(thm)],[151,150,147]) ).

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

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

tff(155,plain,
    divide(identity,b3) = divide(divide(b3,b3),b3),
    inference(symmetry,[status(thm)],[51]) ).

tff(156,plain,
    divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(monotonicity,[status(thm)],[155,154]) ).

tff(157,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(monotonicity,[status(thm)],[156]) ).

tff(158,plain,
    divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(symmetry,[status(thm)],[157]) ).

tff(159,plain,
    divide(divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[158,152]) ).

tff(160,plain,
    divide(divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(divide(divide(identity,identity),identity),a3)),
    inference(transitivity,[status(thm)],[159,137,127]) ).

tff(161,plain,
    divide(identity,divide(divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3))),
    inference(monotonicity,[status(thm)],[160]) ).

tff(162,plain,
    divide(identity,divide(divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(identity,divide(identity,a3))),
    inference(transitivity,[status(thm)],[161,135]) ).

tff(163,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(identity,divide(identity,divide(identity,divide(identity,a3)))),
    inference(monotonicity,[status(thm)],[162]) ).

tff(164,plain,
    divide(identity,divide(identity,divide(identity,divide(identity,a3)))) = divide(identity,divide(identity,divide(divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(symmetry,[status(thm)],[163]) ).

tff(165,plain,
    divide(identity,divide(identity,divide(identity,divide(identity,a3)))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3)))),
    inference(monotonicity,[status(thm)],[134]) ).

tff(166,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3)))) = divide(identity,divide(identity,divide(identity,divide(identity,a3)))),
    inference(symmetry,[status(thm)],[165]) ).

tff(167,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3)))) = divide(identity,divide(identity,divide(divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(transitivity,[status(thm)],[166,164]) ).

tff(168,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[167,88]) ).

tff(169,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(transitivity,[status(thm)],[168,115]) ).

tff(170,plain,
    divide(b3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(monotonicity,[status(thm)],[169]) ).

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

tff(172,plain,
    divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(transitivity,[status(thm)],[171,113,110]) ).

tff(173,plain,
    divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[172]) ).

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

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

tff(176,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3)))) = divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(symmetry,[status(thm)],[175]) ).

tff(177,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,a3)),divide(divide(divide(b3,b3),b3),identity)))),identity) = divide(identity,divide(identity,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(178,plain,
    divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,a3)),divide(divide(divide(b3,b3),b3),identity)))),identity) = divide(identity,divide(identity,a3)),
    inference(unit_resolution,[status(thm)],[177,17]) ).

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

tff(180,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))) = divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(unit_resolution,[status(thm)],[179,17]) ).

tff(181,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(182,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),
    inference(unit_resolution,[status(thm)],[181,17]) ).

tff(183,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),b3)) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[46,34]) ).

tff(184,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)) = divide(identity,divide(divide(divide(identity,identity),identity),b3)),
    inference(symmetry,[status(thm)],[183]) ).

tff(185,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),c3) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(186,plain,
    divide(divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),c3) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[185,17]) ).

tff(187,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[140]) ).

tff(188,plain,
    divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))) = divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(monotonicity,[status(thm)],[187]) ).

tff(189,plain,
    divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))),
    inference(symmetry,[status(thm)],[188]) ).

tff(190,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(191,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),
    inference(unit_resolution,[status(thm)],[190,17]) ).

tff(192,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)) = divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[140]) ).

tff(193,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),
    inference(transitivity,[status(thm)],[192,191]) ).

tff(194,plain,
    divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3))) = divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(monotonicity,[status(thm)],[193]) ).

tff(195,plain,
    divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3))) = divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))),
    inference(transitivity,[status(thm)],[194,189]) ).

tff(196,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),
    inference(monotonicity,[status(thm)],[195]) ).

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

tff(198,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)))),c3) = divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(199,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)))),c3) = divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(unit_resolution,[status(thm)],[198,17]) ).

tff(200,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)))),c3),
    inference(symmetry,[status(thm)],[199]) ).

tff(201,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(202,plain,
    identity = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(unit_resolution,[status(thm)],[201,26]) ).

tff(203,plain,
    divide(divide(divide(identity,identity),identity),identity) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(transitivity,[status(thm)],[56,29,202]) ).

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

tff(205,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[204]) ).

tff(206,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(divide(divide(identity,identity),identity),b3)),
    inference(transitivity,[status(thm)],[205,200,197,186,184]) ).

tff(207,plain,
    divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),
    inference(monotonicity,[status(thm)],[206]) ).

tff(208,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))) = divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),
    inference(symmetry,[status(thm)],[207]) ).

tff(209,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(210,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,b3),
    inference(unit_resolution,[status(thm)],[209,17]) ).

tff(211,plain,
    divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),divide(divide(divide(identity,identity),identity),identity)) = divide(divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(monotonicity,[status(thm)],[208,65]) ).

tff(212,plain,
    divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),divide(divide(divide(identity,identity),identity),identity)) = divide(identity,b3),
    inference(transitivity,[status(thm)],[211,210]) ).

tff(213,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),divide(divide(divide(identity,identity),identity),identity))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[46,212]) ).

tff(214,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(divide(divide(identity,identity),identity),b3)),
    inference(transitivity,[status(thm)],[213,184]) ).

tff(215,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),divide(divide(divide(identity,identity),identity),identity)))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),
    inference(monotonicity,[status(thm)],[214]) ).

tff(216,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),divide(divide(divide(identity,identity),identity),identity)))) = divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),
    inference(transitivity,[status(thm)],[215,208]) ).

tff(217,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(monotonicity,[status(thm)],[216]) ).

tff(218,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(symmetry,[status(thm)],[217]) ).

tff(219,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = identity,
    inference(symmetry,[status(thm)],[202]) ).

tff(220,plain,
    divide(identity,b3) = divide(divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(symmetry,[status(thm)],[210]) ).

tff(221,plain,
    divide(identity,b3) = divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),
    inference(transitivity,[status(thm)],[220,218,182,208]) ).

tff(222,plain,
    divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(monotonicity,[status(thm)],[221,219]) ).

tff(223,plain,
    divide(divide(divide(b3,b3),b3),identity) = divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[51,202]) ).

tff(224,plain,
    divide(divide(divide(b3,b3),b3),identity) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),
    inference(transitivity,[status(thm)],[223,222,218,182]) ).

tff(225,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),b3)))),b3) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(226,plain,
    divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),b3)))),b3) = a3,
    inference(unit_resolution,[status(thm)],[225,17]) ).

tff(227,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(b3,divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = b3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(228,plain,
    divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(b3,divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = b3,
    inference(unit_resolution,[status(thm)],[227,17]) ).

tff(229,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = b3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(230,plain,
    divide(divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = b3,
    inference(unit_resolution,[status(thm)],[229,17]) ).

tff(231,plain,
    divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(symmetry,[status(thm)],[80]) ).

tff(232,plain,
    divide(divide(divide(identity,identity),identity),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(monotonicity,[status(thm)],[33]) ).

tff(233,plain,
    divide(b3,divide(divide(divide(identity,identity),identity),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(monotonicity,[status(thm)],[232]) ).

tff(234,plain,
    divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),
    inference(monotonicity,[status(thm)],[233]) ).

tff(235,plain,
    divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(transitivity,[status(thm)],[234,113,110]) ).

tff(236,plain,
    divide(identity,identity) = divide(divide(identity,identity),identity),
    inference(symmetry,[status(thm)],[32]) ).

tff(237,plain,
    identity = divide(divide(identity,identity),identity),
    inference(transitivity,[status(thm)],[28,236]) ).

tff(238,plain,
    divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))) = divide(divide(divide(identity,identity),identity),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(monotonicity,[status(thm)],[237,235]) ).

tff(239,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),
    inference(symmetry,[status(thm)],[238]) ).

tff(240,plain,
    divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(symmetry,[status(thm)],[110]) ).

tff(241,plain,
    divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),
    inference(transitivity,[status(thm)],[240,112]) ).

tff(242,plain,
    divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(identity,divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(monotonicity,[status(thm)],[241]) ).

tff(243,plain,
    divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(identity,identity),identity),
    inference(transitivity,[status(thm)],[242,102,28,236]) ).

tff(244,plain,
    divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(divide(identity,identity),identity),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(monotonicity,[status(thm)],[243]) ).

tff(245,plain,
    divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),
    inference(transitivity,[status(thm)],[244,239]) ).

tff(246,plain,
    divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(monotonicity,[status(thm)],[245,231]) ).

tff(247,plain,
    divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = b3,
    inference(transitivity,[status(thm)],[246,230]) ).

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

tff(249,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),b3) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(symmetry,[status(thm)],[248]) ).

tff(250,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),b3) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(251,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),b3) = identity,
    inference(unit_resolution,[status(thm)],[250,17]) ).

tff(252,plain,
    identity = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),b3),
    inference(symmetry,[status(thm)],[251]) ).

tff(253,plain,
    divide(b3,divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(b3,b3),
    inference(monotonicity,[status(thm)],[247]) ).

tff(254,plain,
    divide(b3,divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(transitivity,[status(thm)],[253,50,252,249]) ).

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

tff(256,plain,
    divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(b3,divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))) = divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),
    inference(monotonicity,[status(thm)],[255]) ).

tff(257,plain,
    divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))) = divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(b3,divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),
    inference(symmetry,[status(thm)],[256]) ).

tff(258,plain,
    divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(b3,divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(monotonicity,[status(thm)],[257]) ).

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

tff(260,plain,
    divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),
    inference(unit_resolution,[status(thm)],[259,17]) ).

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

tff(262,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),
    inference(monotonicity,[status(thm)],[33]) ).

tff(263,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))) = b3,
    inference(transitivity,[status(thm)],[262,261,258,228]) ).

tff(264,plain,
    divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(monotonicity,[status(thm)],[103]) ).

tff(265,plain,
    divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(symmetry,[status(thm)],[264]) ).

tff(266,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(a3,divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(267,plain,
    divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(a3,divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[266,17]) ).

tff(268,plain,
    divide(a3,divide(identity,b3)) = divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(symmetry,[status(thm)],[267]) ).

tff(269,plain,
    divide(a3,divide(divide(divide(identity,identity),identity),b3)) = divide(a3,divide(identity,b3)),
    inference(monotonicity,[status(thm)],[34]) ).

tff(270,plain,
    divide(a3,divide(divide(divide(identity,identity),identity),b3)) = divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(transitivity,[status(thm)],[269,268,265]) ).

tff(271,plain,
    divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),b3))) = divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(monotonicity,[status(thm)],[270]) ).

tff(272,plain,
    divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),b3)))) = divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(monotonicity,[status(thm)],[271]) ).

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

tff(274,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))))) = divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),b3)))),b3),
    inference(monotonicity,[status(thm)],[273,263]) ).

tff(275,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))))) = a3,
    inference(transitivity,[status(thm)],[274,226]) ).

tff(276,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))))) = divide(divide(a3,a3),a3),
    inference(monotonicity,[status(thm)],[120,275]) ).

tff(277,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))))) = divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[276,122]) ).

tff(278,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))))))) = divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[277]) ).

tff(279,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))))))),
    inference(symmetry,[status(thm)],[278]) ).

tff(280,plain,
    divide(identity,divide(identity,a3)) = divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))))))),
    inference(transitivity,[status(thm)],[132,279]) ).

tff(281,plain,
    divide(divide(identity,divide(identity,a3)),divide(divide(divide(b3,b3),b3),identity)) = divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),
    inference(monotonicity,[status(thm)],[280,224]) ).

tff(282,plain,
    divide(divide(identity,divide(identity,a3)),divide(divide(divide(b3,b3),b3),identity)) = divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(transitivity,[status(thm)],[281,180,85,82]) ).

tff(283,plain,
    divide(b3,divide(divide(identity,divide(identity,a3)),divide(divide(divide(b3,b3),b3),identity))) = divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(monotonicity,[status(thm)],[282]) ).

tff(284,plain,
    divide(identity,divide(b3,divide(divide(identity,divide(identity,a3)),divide(divide(divide(b3,b3),b3),identity)))) = divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),
    inference(monotonicity,[status(thm)],[283]) ).

tff(285,plain,
    divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = divide(identity,divide(b3,divide(divide(identity,divide(identity,a3)),divide(divide(divide(b3,b3),b3),identity)))),
    inference(symmetry,[status(thm)],[284]) ).

tff(286,plain,
    divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),identity)) = divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,a3)),divide(divide(divide(b3,b3),b3),identity)))),identity),
    inference(monotonicity,[status(thm)],[285,65]) ).

tff(287,plain,
    divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),identity)) = divide(identity,divide(divide(divide(identity,identity),identity),a3)),
    inference(transitivity,[status(thm)],[286,178,132,127]) ).

tff(288,plain,
    divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3))),
    inference(monotonicity,[status(thm)],[287]) ).

tff(289,plain,
    divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(identity,divide(identity,a3))),
    inference(transitivity,[status(thm)],[288,135]) ).

tff(290,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),identity)))) = divide(identity,divide(identity,divide(identity,divide(identity,a3)))),
    inference(monotonicity,[status(thm)],[289]) ).

tff(291,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),identity)))) = a3,
    inference(transitivity,[status(thm)],[290,165,176,173,100]) ).

tff(292,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[291,98]) ).

tff(293,plain,
    divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(symmetry,[status(thm)],[292]) ).

tff(294,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
    | ( multiply(a3,b3) = divide(a3,divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(295,plain,
    multiply(a3,b3) = divide(a3,divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[294,7]) ).

tff(296,plain,
    divide(a3,divide(identity,b3)) = multiply(a3,b3),
    inference(symmetry,[status(thm)],[295]) ).

tff(297,plain,
    divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)) = divide(multiply(a3,b3),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[296,140]) ).

tff(298,plain,
    divide(multiply(a3,b3),divide(identity,c3)) = divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)),
    inference(symmetry,[status(thm)],[297]) ).

tff(299,plain,
    divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(multiply(a3,b3),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[296,152]) ).

tff(300,plain,
    divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)),
    inference(transitivity,[status(thm)],[299,298]) ).

tff(301,plain,
    divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))),
    inference(monotonicity,[status(thm)],[300]) ).

tff(302,plain,
    divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),
    inference(monotonicity,[status(thm)],[301]) ).

tff(303,plain,
    divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(symmetry,[status(thm)],[302]) ).

tff(304,plain,
    divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[303,88]) ).

tff(305,plain,
    divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(symmetry,[status(thm)],[304]) ).

tff(306,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(a3,divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(307,plain,
    divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(a3,divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[306,17]) ).

tff(308,plain,
    divide(a3,divide(identity,b3)) = divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(symmetry,[status(thm)],[307]) ).

tff(309,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(310,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))) = identity,
    inference(unit_resolution,[status(thm)],[309,17]) ).

tff(311,plain,
    divide(divide(divide(identity,identity),identity),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),
    inference(monotonicity,[status(thm)],[33,184]) ).

tff(312,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),
    inference(monotonicity,[status(thm)],[311]) ).

tff(313,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)))) = b3,
    inference(transitivity,[status(thm)],[312,261,258,228]) ).

tff(314,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))))) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[313]) ).

tff(315,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[46,314]) ).

tff(316,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)))))),
    inference(symmetry,[status(thm)],[315]) ).

tff(317,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[316]) ).

tff(318,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))) = identity,
    inference(transitivity,[status(thm)],[317,310]) ).

tff(319,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),
    inference(monotonicity,[status(thm)],[318,184]) ).

tff(320,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))) = divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),
    inference(transitivity,[status(thm)],[319,208]) ).

tff(321,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity) = divide(divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(monotonicity,[status(thm)],[320]) ).

tff(322,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity) = divide(identity,b3),
    inference(transitivity,[status(thm)],[321,210]) ).

tff(323,plain,
    divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity)) = divide(a3,divide(identity,b3)),
    inference(monotonicity,[status(thm)],[322]) ).

tff(324,plain,
    divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity)) = divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[323,308,305]) ).

tff(325,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)) = divide(divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(symmetry,[status(thm)],[19]) ).

tff(326,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)) = b3,
    inference(transitivity,[status(thm)],[325,71,64]) ).

tff(327,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity))) = divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[326,324]) ).

tff(328,plain,
    divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity)))) = divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[327]) ).

tff(329,plain,
    divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity)))),
    inference(symmetry,[status(thm)],[328]) ).

tff(330,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(331,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(unit_resolution,[status(thm)],[330,17]) ).

tff(332,plain,
    divide(identity,a3) = divide(divide(a3,a3),a3),
    inference(symmetry,[status(thm)],[129]) ).

tff(333,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,a3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(334,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,a3),
    inference(unit_resolution,[status(thm)],[333,17]) ).

tff(335,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(336,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = identity,
    inference(unit_resolution,[status(thm)],[335,17]) ).

tff(337,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[33]) ).

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

tff(339,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = identity,
    inference(transitivity,[status(thm)],[338,336]) ).

tff(340,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[339]) ).

tff(341,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = identity,
    inference(transitivity,[status(thm)],[340,29]) ).

tff(342,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[341]) ).

tff(343,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = identity,
    inference(transitivity,[status(thm)],[342,29]) ).

tff(344,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[343]) ).

tff(345,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(346,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(unit_resolution,[status(thm)],[345,17]) ).

tff(347,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(symmetry,[status(thm)],[346]) ).

tff(348,plain,
    divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[332,116]) ).

tff(349,plain,
    divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(symmetry,[status(thm)],[348]) ).

tff(350,plain,
    divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[33,349]) ).

tff(351,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[350]) ).

tff(352,plain,
    divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(symmetry,[status(thm)],[351]) ).

tff(353,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[33,352]) ).

tff(354,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(monotonicity,[status(thm)],[353]) ).

tff(355,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(symmetry,[status(thm)],[354]) ).

tff(356,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(357,plain,
    divide(divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(unit_resolution,[status(thm)],[356,17]) ).

tff(358,plain,
    divide(divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[116]) ).

tff(359,plain,
    divide(divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(transitivity,[status(thm)],[358,357,355]) ).

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

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

tff(362,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[361,347,344]) ).

tff(363,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(divide(identity,divide(identity,divide(divide(identity,a3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(monotonicity,[status(thm)],[362]) ).

tff(364,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(365,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(unit_resolution,[status(thm)],[364,17]) ).

tff(366,plain,
    divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(symmetry,[status(thm)],[365]) ).

tff(367,plain,
    divide(divide(divide(identity,identity),identity),identity) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[56,29,98]) ).

tff(368,plain,
    divide(a3,divide(divide(divide(identity,identity),identity),identity)) = divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[367]) ).

tff(369,plain,
    divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[368]) ).

tff(370,plain,
    divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[369,366,363,334,332,122]) ).

tff(371,plain,
    divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),identity)))) = divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[370]) ).

tff(372,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),identity)))),
    inference(symmetry,[status(thm)],[371]) ).

tff(373,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity)))),identity) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(374,plain,
    divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity)))),identity) = a3,
    inference(unit_resolution,[status(thm)],[373,17]) ).

tff(375,plain,
    divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),identity)) = divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity)))),identity),
    inference(monotonicity,[status(thm)],[329,65]) ).

tff(376,plain,
    divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),identity)) = a3,
    inference(transitivity,[status(thm)],[375,374]) ).

tff(377,plain,
    divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),identity))) = divide(divide(a3,a3),a3),
    inference(monotonicity,[status(thm)],[120,376]) ).

tff(378,plain,
    divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[377,122]) ).

tff(379,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),identity)))) = divide(identity,divide(identity,divide(divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[378]) ).

tff(380,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),identity)))) = divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),identity)))),
    inference(transitivity,[status(thm)],[379,372]) ).

tff(381,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(monotonicity,[status(thm)],[380]) ).

tff(382,plain,
    divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(symmetry,[status(thm)],[381]) ).

tff(383,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),identity)))),identity) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(384,plain,
    divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),identity)))),identity) = a3,
    inference(unit_resolution,[status(thm)],[383,17]) ).

tff(385,plain,
    a3 = divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(symmetry,[status(thm)],[384]) ).

tff(386,plain,
    a3 = divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity)))),
    inference(transitivity,[status(thm)],[385,382,331,329]) ).

tff(387,plain,
    divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity)))),identity),
    inference(monotonicity,[status(thm)],[386,97]) ).

tff(388,plain,
    divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity)))),identity) = divide(a3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(symmetry,[status(thm)],[387]) ).

tff(389,plain,
    a3 = divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(a3,divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3))),identity)))),identity),
    inference(symmetry,[status(thm)],[374]) ).

tff(390,plain,
    a3 = divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(transitivity,[status(thm)],[389,388,293,95,93]) ).

tff(391,plain,
    divide(a3,divide(identity,multiply(b3,c3))) = divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[390,79]) ).

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

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

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

tff(395,plain,
    divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(identity,divide(b3,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(symmetry,[status(thm)],[394]) ).

tff(396,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(397,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(unit_resolution,[status(thm)],[396,17]) ).

tff(398,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,c3),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,c3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(399,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,c3),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,c3),
    inference(unit_resolution,[status(thm)],[398,17]) ).

tff(400,plain,
    divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[116]) ).

tff(401,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[400]) ).

tff(402,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(symmetry,[status(thm)],[401]) ).

tff(403,plain,
    divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[151,402]) ).

tff(404,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[403]) ).

tff(405,plain,
    divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(symmetry,[status(thm)],[404]) ).

tff(406,plain,
    divide(identity,c3) = divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,identity),identity),c3)))),c3),
    inference(symmetry,[status(thm)],[147]) ).

tff(407,plain,
    divide(identity,c3) = divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[406,149,402]) ).

tff(408,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(409,plain,
    divide(divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,b3),
    inference(unit_resolution,[status(thm)],[408,17]) ).

tff(410,plain,
    divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[409]) ).

tff(411,plain,
    divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = identity,
    inference(transitivity,[status(thm)],[410,47]) ).

tff(412,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[411]) ).

tff(413,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = identity,
    inference(transitivity,[status(thm)],[412,29]) ).

tff(414,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[413,407]) ).

tff(415,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(416,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(unit_resolution,[status(thm)],[415,17]) ).

tff(417,plain,
    divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)),
    inference(symmetry,[status(thm)],[416]) ).

tff(418,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(419,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,b3),
    inference(unit_resolution,[status(thm)],[418,17]) ).

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

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

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

tff(423,plain,
    divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)) = divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[422,407]) ).

tff(424,plain,
    divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(monotonicity,[status(thm)],[423]) ).

tff(425,plain,
    divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,b3),
    inference(transitivity,[status(thm)],[424,419]) ).

tff(426,plain,
    divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[425]) ).

tff(427,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(symmetry,[status(thm)],[426]) ).

tff(428,plain,
    divide(divide(divide(identity,identity),identity),identity) = divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(transitivity,[status(thm)],[56,29,46,427]) ).

tff(429,plain,
    divide(divide(identity,c3),divide(divide(divide(identity,identity),identity),identity)) = divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[428]) ).

tff(430,plain,
    divide(identity,divide(divide(identity,c3),divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(divide(identity,c3),divide(divide(identity,b3),divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[429]) ).

tff(431,plain,
    divide(identity,divide(divide(identity,c3),divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[430,417,414,405]) ).

tff(432,plain,
    divide(identity,divide(identity,divide(divide(identity,c3),divide(divide(divide(identity,identity),identity),identity)))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[431]) ).

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

tff(434,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),identity) = divide(identity,c3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(435,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),identity) = divide(identity,c3),
    inference(unit_resolution,[status(thm)],[434,17]) ).

tff(436,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),identity)) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),identity),
    inference(monotonicity,[status(thm)],[65]) ).

tff(437,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),identity)) = divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[436,435,406,149,402]) ).

tff(438,plain,
    divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[437]) ).

tff(439,plain,
    divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),identity))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[438,405]) ).

tff(440,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),identity)))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[439]) ).

tff(441,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),identity)))) = divide(identity,divide(identity,divide(divide(identity,c3),divide(divide(divide(identity,identity),identity),identity)))),
    inference(transitivity,[status(thm)],[440,433]) ).

tff(442,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(divide(identity,divide(identity,divide(divide(identity,c3),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(monotonicity,[status(thm)],[441]) ).

tff(443,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(444,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),identity)))),identity) = divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),
    inference(unit_resolution,[status(thm)],[443,17]) ).

tff(445,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(symmetry,[status(thm)],[444]) ).

tff(446,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(447,plain,
    divide(divide(identity,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),
    inference(unit_resolution,[status(thm)],[446,17]) ).

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

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

tff(450,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(451,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = identity,
    inference(unit_resolution,[status(thm)],[450,17]) ).

tff(452,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(transitivity,[status(thm)],[451,202]) ).

tff(453,plain,
    divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[452]) ).

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

tff(455,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),
    inference(transitivity,[status(thm)],[454,200,197,186]) ).

tff(456,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[455]) ).

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

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

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

tff(460,plain,
    divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))),
    inference(transitivity,[status(thm)],[116,189]) ).

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

tff(462,plain,
    divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(symmetry,[status(thm)],[461]) ).

tff(463,plain,
    divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[188]) ).

tff(464,plain,
    divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),
    inference(symmetry,[status(thm)],[463]) ).

tff(465,plain,
    divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(transitivity,[status(thm)],[464,462]) ).

tff(466,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[465]) ).

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

tff(468,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(symmetry,[status(thm)],[466]) ).

tff(469,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),
    inference(monotonicity,[status(thm)],[33,189]) ).

tff(470,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(transitivity,[status(thm)],[469,462]) ).

tff(471,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[470]) ).

tff(472,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[471,468]) ).

tff(473,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[472]) ).

tff(474,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),
    inference(transitivity,[status(thm)],[473,467,459,456]) ).

tff(475,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(monotonicity,[status(thm)],[474]) ).

tff(476,plain,
    divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(symmetry,[status(thm)],[475]) ).

tff(477,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),
    inference(monotonicity,[status(thm)],[219]) ).

tff(478,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(transitivity,[status(thm)],[477,476]) ).

tff(479,plain,
    divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[478]) ).

tff(480,plain,
    divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = identity,
    inference(transitivity,[status(thm)],[479,449]) ).

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

tff(482,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),identity) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(symmetry,[status(thm)],[481]) ).

tff(483,plain,
    divide(identity,c3) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),identity),
    inference(symmetry,[status(thm)],[435]) ).

tff(484,plain,
    divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(identity,divide(identity,divide(divide(identity,c3),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(monotonicity,[status(thm)],[433,480]) ).

tff(485,plain,
    divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[484,399,483,482]) ).

tff(486,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[485]) ).

tff(487,plain,
    divide(identity,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[486]) ).

tff(488,plain,
    divide(divide(identity,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[487]) ).

tff(489,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(490,plain,
    divide(divide(identity,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),
    inference(unit_resolution,[status(thm)],[489,17]) ).

tff(491,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(divide(identity,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(symmetry,[status(thm)],[490]) ).

tff(492,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,c3),
    inference(transitivity,[status(thm)],[491,488,447,445,442,399]) ).

tff(493,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity) = divide(divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(monotonicity,[status(thm)],[62]) ).

tff(494,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity) = b3,
    inference(transitivity,[status(thm)],[493,64]) ).

tff(495,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)) = divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),b3)))),b3),
    inference(monotonicity,[status(thm)],[273,494]) ).

tff(496,plain,
    divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),b3)))),b3) = divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)),
    inference(symmetry,[status(thm)],[495]) ).

tff(497,plain,
    a3 = divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),b3)))),b3),
    inference(symmetry,[status(thm)],[226]) ).

tff(498,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(499,plain,
    divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = a3,
    inference(unit_resolution,[status(thm)],[498,17]) ).

tff(500,plain,
    divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)),
    inference(transitivity,[status(thm)],[499,497,496]) ).

tff(501,plain,
    divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity))),
    inference(monotonicity,[status(thm)],[500]) ).

tff(502,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),
    inference(monotonicity,[status(thm)],[501]) ).

tff(503,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))) = divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(symmetry,[status(thm)],[502]) ).

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

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

tff(506,plain,
    divide(divide(divide(identity,identity),identity),divide(multiply(a3,b3),divide(identity,c3))) = divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))),
    inference(monotonicity,[status(thm)],[33,298]) ).

tff(507,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(multiply(a3,b3),divide(identity,c3)))) = divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),
    inference(monotonicity,[status(thm)],[506]) ).

tff(508,plain,
    divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(multiply(a3,b3),divide(identity,c3)))),
    inference(symmetry,[status(thm)],[507]) ).

tff(509,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(multiply(a3,b3),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[33,508]) ).

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

tff(511,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(multiply(a3,b3),divide(identity,c3)))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))),
    inference(symmetry,[status(thm)],[510]) ).

tff(512,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(multiply(a3,b3),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[508]) ).

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

tff(514,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(multiply(a3,b3),divide(identity,c3)))))) = divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))),
    inference(monotonicity,[status(thm)],[513]) ).

tff(515,plain,
    divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(multiply(a3,b3),divide(identity,c3)))))),
    inference(symmetry,[status(thm)],[514]) ).

tff(516,plain,
    divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))),
    inference(transitivity,[status(thm)],[515,511]) ).

tff(517,plain,
    divide(identity,divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))))),
    inference(monotonicity,[status(thm)],[516]) ).

tff(518,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
    | ( multiply(identity,divide(identity,divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))) = divide(identity,divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(519,plain,
    multiply(identity,divide(identity,divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))) = divide(identity,divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))))),
    inference(unit_resolution,[status(thm)],[518,7]) ).

tff(520,plain,
    divide(b3,divide(identity,c3)) = multiply(b3,c3),
    inference(symmetry,[status(thm)],[77]) ).

tff(521,plain,
    divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3))) = divide(identity,multiply(b3,c3)),
    inference(monotonicity,[status(thm)],[33,520]) ).

tff(522,plain,
    divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))) = divide(a3,divide(identity,multiply(b3,c3))),
    inference(monotonicity,[status(thm)],[521]) ).

tff(523,plain,
    divide(a3,divide(identity,multiply(b3,c3))) = divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))),
    inference(symmetry,[status(thm)],[522]) ).

tff(524,plain,
    divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(identity,multiply(b3,c3)),
    inference(symmetry,[status(thm)],[79]) ).

tff(525,plain,
    divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(symmetry,[status(thm)],[331]) ).

tff(526,plain,
    divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = a3,
    inference(transitivity,[status(thm)],[525,381,384]) ).

tff(527,plain,
    divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(a3,divide(identity,multiply(b3,c3))),
    inference(monotonicity,[status(thm)],[526,524]) ).

tff(528,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(529,plain,
    divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),
    inference(unit_resolution,[status(thm)],[528,17]) ).

tff(530,plain,
    divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) = divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(symmetry,[status(thm)],[529]) ).

tff(531,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(multiply(a3,b3),divide(identity,c3)))) = divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))),
    inference(transitivity,[status(thm)],[507,530,527,523]) ).

tff(532,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(multiply(a3,b3),divide(identity,c3))))) = divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[531]) ).

tff(533,plain,
    divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(multiply(a3,b3),divide(identity,c3))))),
    inference(symmetry,[status(thm)],[532]) ).

tff(534,plain,
    divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3))))) = divide(identity,divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))),
    inference(transitivity,[status(thm)],[533,513]) ).

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

tff(536,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
    | ( multiply(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))) = divide(identity,divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(537,plain,
    multiply(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))) = divide(identity,divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3))))))),
    inference(unit_resolution,[status(thm)],[536,7]) ).

tff(538,plain,
    divide(identity,divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3))))))) = multiply(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),
    inference(symmetry,[status(thm)],[537]) ).

tff(539,plain,
    divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,multiply(b3,c3)))) = divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[33,523]) ).

tff(540,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,multiply(b3,c3))))) = divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[539]) ).

tff(541,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,multiply(b3,c3)))))) = divide(identity,divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[540]) ).

tff(542,plain,
    divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,multiply(b3,c3))))),
    inference(symmetry,[status(thm)],[540]) ).

tff(543,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(544,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),
    inference(unit_resolution,[status(thm)],[543,17]) ).

tff(545,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(546,plain,
    divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = a3,
    inference(unit_resolution,[status(thm)],[545,17]) ).

tff(547,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)) = divide(b3,divide(identity,c3)),
    inference(symmetry,[status(thm)],[75]) ).

tff(548,plain,
    divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))),
    inference(monotonicity,[status(thm)],[547]) ).

tff(549,plain,
    divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)),
    inference(transitivity,[status(thm)],[548,546,497,496]) ).

tff(550,plain,
    divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity))),
    inference(monotonicity,[status(thm)],[549]) ).

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

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

tff(553,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[502,552]) ).

tff(554,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(a3,divide(divide(divide(identity,identity),identity),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[553]) ).

tff(555,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),c3)) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[503,140]) ).

tff(556,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),c3)) = divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,multiply(b3,c3))))),
    inference(transitivity,[status(thm)],[555,554,544,542]) ).

tff(557,plain,
    divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),c3))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,multiply(b3,c3)))))),
    inference(monotonicity,[status(thm)],[556]) ).

tff(558,plain,
    divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),c3))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))))),
    inference(transitivity,[status(thm)],[557,541,538,535,519,517]) ).

tff(559,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),
    inference(monotonicity,[status(thm)],[558]) ).

tff(560,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))) = divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),c3)))),
    inference(symmetry,[status(thm)],[559]) ).

tff(561,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))))),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(562,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))))),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),
    inference(unit_resolution,[status(thm)],[561,17]) ).

tff(563,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(564,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))) = identity,
    inference(unit_resolution,[status(thm)],[563,17]) ).

tff(565,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),
    inference(monotonicity,[status(thm)],[33]) ).

tff(566,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))),
    inference(monotonicity,[status(thm)],[565]) ).

tff(567,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))) = identity,
    inference(transitivity,[status(thm)],[566,564]) ).

tff(568,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[567]) ).

tff(569,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))) = identity,
    inference(transitivity,[status(thm)],[568,29]) ).

tff(570,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[569]) ).

tff(571,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))))) = identity,
    inference(transitivity,[status(thm)],[570,29]) ).

tff(572,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))))),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),
    inference(monotonicity,[status(thm)],[571]) ).

tff(573,plain,
    divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3))))))),divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),
    inference(symmetry,[status(thm)],[572]) ).

tff(574,plain,
    divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))) = divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),c3)))),
    inference(transitivity,[status(thm)],[573,562,560]) ).

tff(575,plain,
    divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),c3) = divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(identity,identity),identity),c3)))),c3),
    inference(monotonicity,[status(thm)],[574]) ).

tff(576,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),c3) = divide(a3,divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(577,plain,
    divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),c3) = divide(a3,divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[576,17]) ).

tff(578,plain,
    divide(a3,divide(identity,b3)) = divide(divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(divide(divide(identity,identity),identity),c3)))),c3),
    inference(symmetry,[status(thm)],[577]) ).

tff(579,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,a3)),divide(divide(divide(identity,identity),identity),b3)))),b3) = divide(identity,divide(identity,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(580,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,a3)),divide(divide(divide(identity,identity),identity),b3)))),b3) = divide(identity,divide(identity,a3)),
    inference(unit_resolution,[status(thm)],[579,17]) ).

tff(581,plain,
    divide(divide(identity,identity),identity) = divide(divide(identity,b3),divide(identity,b3)),
    inference(transitivity,[status(thm)],[32,29,46]) ).

tff(582,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,b3)) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[581]) ).

tff(583,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,b3)) = b3,
    inference(transitivity,[status(thm)],[582,325,71,64]) ).

tff(584,plain,
    divide(a3,divide(identity,b3)) = divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(transitivity,[status(thm)],[268,265]) ).

tff(585,plain,
    divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))) = divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(monotonicity,[status(thm)],[33,584]) ).

tff(586,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))) = divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(monotonicity,[status(thm)],[585]) ).

tff(587,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))),
    inference(symmetry,[status(thm)],[586]) ).

tff(588,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[587]) ).

tff(589,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))) = divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),
    inference(symmetry,[status(thm)],[588]) ).

tff(590,plain,
    divide(divide(divide(identity,identity),identity),b3) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))),
    inference(transitivity,[status(thm)],[34,220,218,182]) ).

tff(591,plain,
    divide(divide(identity,divide(identity,a3)),divide(divide(divide(identity,identity),identity),b3)) = divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),b3)))),
    inference(monotonicity,[status(thm)],[280,590]) ).

tff(592,plain,
    divide(divide(identity,divide(identity,a3)),divide(divide(divide(identity,identity),identity),b3)) = divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))),
    inference(transitivity,[status(thm)],[591,180,587]) ).

tff(593,plain,
    divide(identity,divide(divide(identity,divide(identity,a3)),divide(divide(divide(identity,identity),identity),b3))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[592]) ).

tff(594,plain,
    divide(identity,divide(divide(identity,divide(identity,a3)),divide(divide(divide(identity,identity),identity),b3))) = divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),
    inference(transitivity,[status(thm)],[593,589]) ).

tff(595,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,a3)),divide(divide(divide(identity,identity),identity),b3)))) = divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),
    inference(monotonicity,[status(thm)],[594]) ).

tff(596,plain,
    divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))) = divide(identity,divide(identity,divide(divide(identity,divide(identity,a3)),divide(divide(divide(identity,identity),identity),b3)))),
    inference(symmetry,[status(thm)],[595]) ).

tff(597,plain,
    divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[588]) ).

tff(598,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))) = divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),
    inference(symmetry,[status(thm)],[597]) ).

tff(599,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))) = divide(identity,divide(identity,divide(divide(identity,divide(identity,a3)),divide(divide(divide(identity,identity),identity),b3)))),
    inference(transitivity,[status(thm)],[598,596]) ).

tff(600,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(divide(divide(identity,identity),identity),divide(identity,b3))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,a3)),divide(divide(divide(identity,identity),identity),b3)))),b3),
    inference(monotonicity,[status(thm)],[599,583]) ).

tff(601,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(divide(divide(identity,identity),identity),divide(identity,b3))) = divide(identity,divide(divide(divide(identity,identity),identity),a3)),
    inference(transitivity,[status(thm)],[600,580,132,127]) ).

tff(602,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(divide(divide(identity,identity),identity),divide(identity,b3)))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),a3))),
    inference(monotonicity,[status(thm)],[601]) ).

tff(603,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(divide(divide(identity,identity),identity),divide(identity,b3)))) = divide(identity,divide(identity,divide(identity,a3))),
    inference(transitivity,[status(thm)],[602,135]) ).

tff(604,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(divide(divide(identity,identity),identity),divide(identity,b3))))) = divide(identity,divide(identity,divide(identity,divide(identity,a3)))),
    inference(monotonicity,[status(thm)],[603]) ).

tff(605,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(divide(divide(identity,identity),identity),divide(identity,b3))))) = a3,
    inference(transitivity,[status(thm)],[604,165,176,173,100]) ).

tff(606,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(divide(divide(identity,identity),identity),divide(identity,b3))))),divide(identity,b3)) = divide(a3,divide(identity,b3)),
    inference(monotonicity,[status(thm)],[605]) ).

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

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

tff(609,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(divide(divide(identity,identity),identity),divide(identity,b3))))),divide(identity,b3)),
    inference(symmetry,[status(thm)],[608]) ).

tff(610,plain,
    divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))) = identity,
    inference(transitivity,[status(thm)],[54,29]) ).

tff(611,plain,
    b3 = divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity)))),
    inference(transitivity,[status(thm)],[73,72,19,62]) ).

tff(612,plain,
    divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3)))) = divide(divide(identity,divide(identity,divide(b3,divide(divide(divide(identity,identity),identity),identity)))),identity),
    inference(monotonicity,[status(thm)],[611,610]) ).

tff(613,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(614,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = identity,
    inference(unit_resolution,[status(thm)],[613,17]) ).

tff(615,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[88]) ).

tff(616,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))) = divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3))),
    inference(transitivity,[status(thm)],[615,614,28,55]) ).

tff(617,plain,
    divide(b3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = divide(b3,divide(identity,divide(divide(divide(b3,b3),b3),divide(identity,b3)))),
    inference(monotonicity,[status(thm)],[616]) ).

tff(618,plain,
    divide(b3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))) = b3,
    inference(transitivity,[status(thm)],[617,612,64]) ).

tff(619,plain,
    divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[618]) ).

tff(620,plain,
    divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[619]) ).

tff(621,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(622,plain,
    divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(unit_resolution,[status(thm)],[621,17]) ).

tff(623,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(identity,divide(b3,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(b3,b3),b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(symmetry,[status(thm)],[622]) ).

tff(624,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(monotonicity,[status(thm)],[33]) ).

tff(625,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),
    inference(transitivity,[status(thm)],[624,623,620]) ).

tff(626,plain,
    divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[625]) ).

tff(627,plain,
    divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))),
    inference(transitivity,[status(thm)],[626,87,587]) ).

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

tff(629,plain,
    divide(identity,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),
    inference(transitivity,[status(thm)],[628,589]) ).

tff(630,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),
    inference(monotonicity,[status(thm)],[629]) ).

tff(631,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[630,597,609,606,578,575,505,503]) ).

tff(632,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[631,492]) ).

tff(633,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(divide(identity,divide(identity,divide(divide(identity,divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),divide(divide(divide(divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(divide(identity,b3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))),
    inference(symmetry,[status(thm)],[632]) ).

tff(634,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(635,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = identity,
    inference(unit_resolution,[status(thm)],[634,17]) ).

tff(636,plain,
    divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))) = divide(a3,divide(identity,b3)),
    inference(transitivity,[status(thm)],[264,267]) ).

tff(637,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[33,587]) ).

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

tff(639,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),
    inference(symmetry,[status(thm)],[638]) ).

tff(640,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(monotonicity,[status(thm)],[33]) ).

tff(641,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))),
    inference(transitivity,[status(thm)],[640,587]) ).

tff(642,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[641]) ).

tff(643,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),
    inference(transitivity,[status(thm)],[642,589]) ).

tff(644,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))) = divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),
    inference(monotonicity,[status(thm)],[643]) ).

tff(645,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),
    inference(transitivity,[status(thm)],[644,597,639]) ).

tff(646,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),
    inference(monotonicity,[status(thm)],[645]) ).

tff(647,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),
    inference(symmetry,[status(thm)],[646]) ).

tff(648,plain,
    divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(monotonicity,[status(thm)],[647,585]) ).

tff(649,plain,
    divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))) = identity,
    inference(transitivity,[status(thm)],[648,635]) ).

tff(650,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[649]) ).

tff(651,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))) = identity,
    inference(transitivity,[status(thm)],[650,29]) ).

tff(652,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[651]) ).

tff(653,plain,
    divide(identity,identity) = divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),
    inference(symmetry,[status(thm)],[652]) ).

tff(654,plain,
    identity = divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),
    inference(transitivity,[status(thm)],[28,653]) ).

tff(655,plain,
    divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))),
    inference(monotonicity,[status(thm)],[654,636]) ).

tff(656,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(symmetry,[status(thm)],[655]) ).

tff(657,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(658,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),
    inference(unit_resolution,[status(thm)],[657,17]) ).

tff(659,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))),
    inference(symmetry,[status(thm)],[658]) ).

tff(660,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))) = divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))),
    inference(transitivity,[status(thm)],[659,656]) ).

tff(661,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(662,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))) = identity,
    inference(unit_resolution,[status(thm)],[661,17]) ).

tff(663,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = identity ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(664,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = identity,
    inference(unit_resolution,[status(thm)],[663,17]) ).

tff(665,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),
    inference(monotonicity,[status(thm)],[640]) ).

tff(666,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))) = identity,
    inference(transitivity,[status(thm)],[665,664]) ).

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

tff(668,plain,
    divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))) = identity,
    inference(transitivity,[status(thm)],[667,29]) ).

tff(669,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))) = divide(identity,identity),
    inference(monotonicity,[status(thm)],[668]) ).

tff(670,plain,
    divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))) = identity,
    inference(transitivity,[status(thm)],[669,29]) ).

tff(671,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(monotonicity,[status(thm)],[670]) ).

tff(672,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(673,plain,
    divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),
    inference(unit_resolution,[status(thm)],[672,17]) ).

tff(674,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))) = divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(symmetry,[status(thm)],[673]) ).

tff(675,plain,
    divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),
    inference(monotonicity,[status(thm)],[33,639]) ).

tff(676,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))),
    inference(monotonicity,[status(thm)],[675]) ).

tff(677,plain,
    divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))))) = divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))),
    inference(transitivity,[status(thm)],[676,674,671,587]) ).

tff(678,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[677]) ).

tff(679,plain,
    divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))))) = divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),
    inference(transitivity,[status(thm)],[678,589]) ).

tff(680,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))))))) = divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))),
    inference(monotonicity,[status(thm)],[679]) ).

tff(681,plain,
    divide(identity,divide(identity,divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))))))),
    inference(symmetry,[status(thm)],[680]) ).

tff(682,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))))))),
    inference(transitivity,[status(thm)],[598,681]) ).

tff(683,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),
    inference(monotonicity,[status(thm)],[682]) ).

tff(684,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))) = identity,
    inference(transitivity,[status(thm)],[683,662]) ).

tff(685,plain,
    divide(divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))) = divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),
    inference(monotonicity,[status(thm)],[684,639]) ).

tff(686,plain,
    divide(divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),
    inference(transitivity,[status(thm)],[685,647]) ).

tff(687,plain,
    divide(divide(divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))),divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))),
    inference(monotonicity,[status(thm)],[686,660]) ).

tff(688,plain,
    divide(divide(divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))) = identity,
    inference(transitivity,[status(thm)],[687,635]) ).

tff(689,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))))) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),identity),
    inference(monotonicity,[status(thm)],[688]) ).

tff(690,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))))) = divide(identity,c3),
    inference(transitivity,[status(thm)],[689,435]) ).

tff(691,plain,
    divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))) = divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[609,606,578,575,505,503]) ).

tff(692,plain,
    divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))))) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,c3),divide(a3,divide(divide(divide(divide(identity,c3),divide(identity,c3)),divide(identity,c3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[691,690]) ).

tff(693,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),identity) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))))),
    inference(symmetry,[status(thm)],[689]) ).

tff(694,plain,
    divide(identity,c3) = divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))))))),
    inference(transitivity,[status(thm)],[483,693]) ).

tff(695,plain,
    divide(a3,divide(identity,b3)) = divide(divide(identity,divide(identity,divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(divide(divide(identity,identity),identity),divide(identity,b3))))),divide(identity,b3)),
    inference(symmetry,[status(thm)],[606]) ).

tff(696,plain,
    multiply(a3,b3) = divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),
    inference(transitivity,[status(thm)],[295,695,608]) ).

tff(697,plain,
    divide(multiply(a3,b3),divide(identity,c3)) = divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(identity,c3),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),identity)))),divide(divide(divide(divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3)))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(a3,divide(identity,b3))))))),divide(identity,divide(identity,divide(divide(divide(identity,identity),identity),divide(identity,divide(identity,divide(divide(identity,divide(b3,divide(divide(a3,divide(identity,b3)),divide(divide(divide(b3,b3),b3),divide(identity,divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3))))))))))),divide(divide(divide(identity,identity),identity),divide(a3,divide(a3,divide(divide(divide(a3,a3),a3),divide(identity,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(identity,b3)),divide(identity,c3)))))))))))))))),
    inference(monotonicity,[status(thm)],[696,694]) ).

tff(698,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
    | ( multiply(multiply(a3,b3),c3) = divide(multiply(a3,b3),divide(identity,c3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(699,plain,
    multiply(multiply(a3,b3),c3) = divide(multiply(a3,b3),divide(identity,c3)),
    inference(unit_resolution,[status(thm)],[698,7]) ).

tff(700,plain,
    multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
    inference(transitivity,[status(thm)],[699,697,692,633,397,395,392,10]) ).

tff(701,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(702,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

tff(703,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(modus_ponens,[status(thm)],[702,701]) ).

tff(704,plain,
    $false,
    inference(unit_resolution,[status(thm)],[703,700]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP456-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Aug 31 17:17:47 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.34  Usage: tptp [options] [-file:]file
% 0.19/0.34    -h, -?       prints this message.
% 0.19/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.19/0.34    -m, -model   generate model.
% 0.19/0.34    -p, -proof   generate proof.
% 0.19/0.34    -c, -core    generate unsat core of named formulas.
% 0.19/0.34    -st, -statistics display statistics.
% 0.19/0.34    -t:timeout   set timeout (in second).
% 0.19/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.19/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.34    -<param>:<value> configuration parameter and value.
% 0.19/0.34    -o:<output-file> file to place output in.
% 9.33/6.20  % SZS status Unsatisfiable
% 9.33/6.20  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------