Z3---4.15.1.UNS-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : GRP529-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n016.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 : Sat Jun 21 05:08:00 AM UTC 2025

% Result   : Unsatisfiable 0.46s 0.63s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  233 ( 198 unt;   0 typ;   0 def)
%            Number of atoms       :  274 ( 270 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   70 (  32   ~;  28   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   14 (   3 avg)
%            Number of FOOLs       :    3 (   3 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  148 ( 140   !;   0   ?; 148   :)

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

tff(b1_type,type,
    b1: $i ).

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

tff(a1_type,type,
    a1: $i ).

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

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

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

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

tff(4,axiom,
    ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

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

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

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

tff(8,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(b1) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(9,plain,
    inverse(b1) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),
    inference(unit_resolution,[status(thm)],[8,7]) ).

tff(10,plain,
    multiply(inverse(b1),b1) = multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),b1),
    inference(monotonicity,[status(thm)],[9]) ).

tff(11,plain,
    multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),b1) = multiply(inverse(b1),b1),
    inference(symmetry,[status(thm)],[10]) ).

tff(12,plain,
    ^ [B: $i,A: $i,C: $i] :
      refl(( ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
      <=> ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) )),
    inference(bind,[status(th)],[]) ).

tff(13,plain,
    ( ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
  <=> ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) ),
    inference(quant_intro,[status(thm)],[12]) ).

tff(14,plain,
    ( ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
  <=> ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(15,axiom,
    ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

tff(16,plain,
    ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
    inference(modus_ponens,[status(thm)],[15,14]) ).

tff(17,plain,
    ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
    inference(skolemize,[status(sab)],[16]) ).

tff(18,plain,
    ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
    inference(modus_ponens,[status(thm)],[17,13]) ).

tff(19,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),b1) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(20,plain,
    multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),b1) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),
    inference(unit_resolution,[status(thm)],[19,18]) ).

tff(21,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)) = multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),b1),
    inference(symmetry,[status(thm)],[20]) ).

tff(22,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1) = inverse(b1),
    inference(symmetry,[status(thm)],[9]) ).

tff(23,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)) = divide(inverse(b1),inverse(b1)),
    inference(monotonicity,[status(thm)],[22,22]) ).

tff(24,plain,
    divide(inverse(b1),inverse(b1)) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),
    inference(symmetry,[status(thm)],[23]) ).

tff(25,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(26,plain,
    inverse(divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(unit_resolution,[status(thm)],[25,7]) ).

tff(27,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(28,plain,
    inverse(divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(unit_resolution,[status(thm)],[27,7]) ).

tff(29,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))) = inverse(divide(inverse(a1),divide(inverse(a1),a1))),
    inference(symmetry,[status(thm)],[28]) ).

tff(30,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(transitivity,[status(thm)],[29,26]) ).

tff(31,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(monotonicity,[status(thm)],[30]) ).

tff(32,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(symmetry,[status(thm)],[31]) ).

tff(33,plain,
    divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[23]) ).

tff(34,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(symmetry,[status(thm)],[33]) ).

tff(35,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1))) = inverse(divide(inverse(a1),divide(inverse(a1),a1))),
    inference(symmetry,[status(thm)],[26]) ).

tff(36,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(transitivity,[status(thm)],[35,28,34]) ).

tff(37,plain,
    ^ [B: $i,A: $i,C: $i] :
      refl(( ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
      <=> ( divide(divide(A,divide(B,C)),divide(A,B)) = C ) )),
    inference(bind,[status(th)],[]) ).

tff(38,plain,
    ( ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
  <=> ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C ) ),
    inference(quant_intro,[status(thm)],[37]) ).

tff(39,plain,
    ( ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
  <=> ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(40,axiom,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

tff(41,plain,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C ),
    inference(modus_ponens,[status(thm)],[40,39]) ).

tff(42,plain,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C ),
    inference(skolemize,[status(sab)],[41]) ).

tff(43,plain,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C ),
    inference(modus_ponens,[status(thm)],[42,38]) ).

tff(44,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))))) = divide(inverse(a1),divide(inverse(a1),a1)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(45,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))))) = divide(inverse(a1),divide(inverse(a1),a1)),
    inference(unit_resolution,[status(thm)],[44,43]) ).

tff(46,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(a1) = divide(divide(inverse(a1),inverse(a1)),a1) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(47,plain,
    inverse(a1) = divide(divide(inverse(a1),inverse(a1)),a1),
    inference(unit_resolution,[status(thm)],[46,7]) ).

tff(48,plain,
    divide(divide(inverse(a1),inverse(a1)),a1) = inverse(a1),
    inference(symmetry,[status(thm)],[47]) ).

tff(49,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1)) = divide(inverse(a1),divide(inverse(a1),a1)),
    inference(monotonicity,[status(thm)],[48]) ).

tff(50,plain,
    divide(inverse(a1),divide(inverse(a1),a1)) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1)),
    inference(symmetry,[status(thm)],[49]) ).

tff(51,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))) = divide(inverse(a1),divide(inverse(a1),a1)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(52,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))) = divide(inverse(a1),divide(inverse(a1),a1)),
    inference(unit_resolution,[status(thm)],[51,43]) ).

tff(53,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[50]) ).

tff(54,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1)),
    inference(transitivity,[status(thm)],[53,52,50]) ).

tff(55,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[54]) ).

tff(56,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(symmetry,[status(thm)],[55]) ).

tff(57,plain,
    divide(inverse(a1),divide(inverse(a1),a1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))),
    inference(symmetry,[status(thm)],[52]) ).

tff(58,plain,
    divide(inverse(a1),divide(inverse(a1),a1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(transitivity,[status(thm)],[57,56]) ).

tff(59,plain,
    divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))))),
    inference(monotonicity,[status(thm)],[58]) ).

tff(60,plain,
    divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))))) = divide(inverse(a1),divide(inverse(a1),a1)),
    inference(transitivity,[status(thm)],[59,45]) ).

tff(61,plain,
    divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[23,60]) ).

tff(62,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),
    inference(symmetry,[status(thm)],[61]) ).

tff(63,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(monotonicity,[status(thm)],[62,36]) ).

tff(64,plain,
    divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(symmetry,[status(thm)],[63]) ).

tff(65,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(66,plain,
    divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))),
    inference(unit_resolution,[status(thm)],[65,43]) ).

tff(67,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(symmetry,[status(thm)],[66]) ).

tff(68,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(69,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))),
    inference(unit_resolution,[status(thm)],[68,43]) ).

tff(70,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))) = divide(divide(inverse(a1),inverse(a1)),a1) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(71,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))) = divide(divide(inverse(a1),inverse(a1)),a1),
    inference(unit_resolution,[status(thm)],[70,43]) ).

tff(72,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[50]) ).

tff(73,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1))) = inverse(a1),
    inference(transitivity,[status(thm)],[72,71,48]) ).

tff(74,plain,
    divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1)),
    inference(transitivity,[status(thm)],[59,45,50]) ).

tff(75,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[74]) ).

tff(76,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))) = inverse(a1),
    inference(transitivity,[status(thm)],[75,71,48]) ).

tff(77,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(inverse(a1),inverse(a1)),
    inference(monotonicity,[status(thm)],[76,73]) ).

tff(78,plain,
    divide(inverse(a1),inverse(a1)) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(symmetry,[status(thm)],[77]) ).

tff(79,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)) = divide(inverse(a1),inverse(a1)),
    inference(monotonicity,[status(thm)],[48,48]) ).

tff(80,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1) = divide(divide(inverse(a1),inverse(a1)),a1),
    inference(monotonicity,[status(thm)],[79]) ).

tff(81,plain,
    divide(divide(inverse(a1),inverse(a1)),a1) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1),
    inference(symmetry,[status(thm)],[80]) ).

tff(82,plain,
    inverse(a1) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1),
    inference(transitivity,[status(thm)],[47,81]) ).

tff(83,plain,
    divide(inverse(a1),inverse(a1)) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),
    inference(monotonicity,[status(thm)],[47,82]) ).

tff(84,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) = divide(inverse(a1),inverse(a1)),
    inference(symmetry,[status(thm)],[83]) ).

tff(85,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(transitivity,[status(thm)],[84,78,69,67,64,32]) ).

tff(86,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))) = a1 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(87,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))) = a1,
    inference(unit_resolution,[status(thm)],[86,43]) ).

tff(88,plain,
    divide(inverse(a1),inverse(a1)) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),
    inference(symmetry,[status(thm)],[79]) ).

tff(89,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),
    inference(transitivity,[status(thm)],[84,88]) ).

tff(90,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[89]) ).

tff(91,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(symmetry,[status(thm)],[90]) ).

tff(92,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(93,plain,
    inverse(divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(unit_resolution,[status(thm)],[92,7]) ).

tff(94,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),
    inference(transitivity,[status(thm)],[79,83]) ).

tff(95,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),
    inference(monotonicity,[status(thm)],[94]) ).

tff(96,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(97,plain,
    inverse(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),
    inference(unit_resolution,[status(thm)],[96,7]) ).

tff(98,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(99,plain,
    inverse(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),
    inference(unit_resolution,[status(thm)],[98,7]) ).

tff(100,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = inverse(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),
    inference(symmetry,[status(thm)],[99]) ).

tff(101,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),
    inference(transitivity,[status(thm)],[100,97,95]) ).

tff(102,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[101]) ).

tff(103,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(transitivity,[status(thm)],[102,35,93,91]) ).

tff(104,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),inverse(a1))) = a1 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(105,plain,
    divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),inverse(a1))) = a1,
    inference(unit_resolution,[status(thm)],[104,43]) ).

tff(106,plain,
    divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),inverse(a1))),
    inference(monotonicity,[status(thm)],[84]) ).

tff(107,plain,
    divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = a1,
    inference(transitivity,[status(thm)],[106,105]) ).

tff(108,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))) = divide(divide(inverse(a1),inverse(a1)),a1),
    inference(monotonicity,[status(thm)],[84,107]) ).

tff(109,plain,
    divide(divide(inverse(a1),inverse(a1)),a1) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),
    inference(symmetry,[status(thm)],[108]) ).

tff(110,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(monotonicity,[status(thm)],[109,103]) ).

tff(111,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(symmetry,[status(thm)],[110]) ).

tff(112,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(113,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),
    inference(unit_resolution,[status(thm)],[112,43]) ).

tff(114,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(symmetry,[status(thm)],[113]) ).

tff(115,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(a1) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(116,plain,
    inverse(a1) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1),
    inference(unit_resolution,[status(thm)],[115,7]) ).

tff(117,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1) = inverse(a1),
    inference(symmetry,[status(thm)],[116]) ).

tff(118,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1),
    inference(monotonicity,[status(thm)],[101,107]) ).

tff(119,plain,
    divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),inverse(a1))) = divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),
    inference(symmetry,[status(thm)],[106]) ).

tff(120,plain,
    a1 = divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),inverse(a1))),
    inference(symmetry,[status(thm)],[105]) ).

tff(121,plain,
    a1 = divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),
    inference(transitivity,[status(thm)],[120,119]) ).

tff(122,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1) = divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),
    inference(monotonicity,[status(thm)],[121]) ).

tff(123,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1) = inverse(a1),
    inference(transitivity,[status(thm)],[122,118,117]) ).

tff(124,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1)) = divide(inverse(a1),inverse(a1)),
    inference(monotonicity,[status(thm)],[48,123]) ).

tff(125,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1)) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(transitivity,[status(thm)],[124,83,114,111]) ).

tff(126,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))),
    inference(monotonicity,[status(thm)],[125]) ).

tff(127,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))),
    inference(symmetry,[status(thm)],[126]) ).

tff(128,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))) = divide(inverse(a1),divide(inverse(a1),a1)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(129,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))) = divide(inverse(a1),divide(inverse(a1),a1)),
    inference(unit_resolution,[status(thm)],[128,43]) ).

tff(130,plain,
    divide(inverse(a1),divide(inverse(a1),a1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))),
    inference(symmetry,[status(thm)],[129]) ).

tff(131,plain,
    a1 = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))),
    inference(symmetry,[status(thm)],[87]) ).

tff(132,plain,
    a1 = divide(inverse(a1),divide(inverse(a1),a1)),
    inference(transitivity,[status(thm)],[131,126,129]) ).

tff(133,plain,
    inverse(a1) = inverse(divide(inverse(a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[132]) ).

tff(134,plain,
    inverse(divide(inverse(a1),divide(inverse(a1),a1))) = inverse(a1),
    inference(symmetry,[status(thm)],[133]) ).

tff(135,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))) = inverse(a1),
    inference(transitivity,[status(thm)],[29,134]) ).

tff(136,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(inverse(a1),a1)) = divide(inverse(a1),divide(inverse(a1),a1)),
    inference(monotonicity,[status(thm)],[135]) ).

tff(137,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(inverse(a1),a1)) = a1,
    inference(transitivity,[status(thm)],[136,130,127,87]) ).

tff(138,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(inverse(a1),a1))) = divide(inverse(a1),a1),
    inference(monotonicity,[status(thm)],[135,137]) ).

tff(139,plain,
    divide(inverse(a1),a1) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(inverse(a1),a1))),
    inference(symmetry,[status(thm)],[138]) ).

tff(140,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(divide(inverse(a1),inverse(a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(symmetry,[status(thm)],[69]) ).

tff(141,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(142,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))),
    inference(unit_resolution,[status(thm)],[141,43]) ).

tff(143,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(144,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)),
    inference(unit_resolution,[status(thm)],[143,43]) ).

tff(145,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(transitivity,[status(thm)],[102,35,93]) ).

tff(146,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(monotonicity,[status(thm)],[145]) ).

tff(147,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(symmetry,[status(thm)],[146]) ).

tff(148,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)),
    inference(transitivity,[status(thm)],[147,144]) ).

tff(149,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[148,50]) ).

tff(150,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(symmetry,[status(thm)],[149]) ).

tff(151,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))) = b1 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(152,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))) = b1,
    inference(unit_resolution,[status(thm)],[151,43]) ).

tff(153,plain,
    b1 = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))),
    inference(symmetry,[status(thm)],[152]) ).

tff(154,plain,
    b1 = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(transitivity,[status(thm)],[153,150]) ).

tff(155,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[148,74]) ).

tff(156,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),
    inference(symmetry,[status(thm)],[155]) ).

tff(157,plain,
    b1 = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),
    inference(transitivity,[status(thm)],[153,156]) ).

tff(158,plain,
    divide(b1,b1) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(monotonicity,[status(thm)],[157,154]) ).

tff(159,plain,
    divide(b1,b1) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(transitivity,[status(thm)],[158,142,140,77,83,114,111]) ).

tff(160,plain,
    divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))),
    inference(monotonicity,[status(thm)],[159]) ).

tff(161,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))) = divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))),
    inference(symmetry,[status(thm)],[160]) ).

tff(162,plain,
    a1 = divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))),
    inference(transitivity,[status(thm)],[131,126,161]) ).

tff(163,plain,
    inverse(a1) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(transitivity,[status(thm)],[133,28]) ).

tff(164,plain,
    divide(inverse(a1),a1) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),
    inference(monotonicity,[status(thm)],[163,162]) ).

tff(165,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))) = divide(inverse(a1),a1),
    inference(symmetry,[status(thm)],[164]) ).

tff(166,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(inverse(a1),a1))),
    inference(transitivity,[status(thm)],[165,139]) ).

tff(167,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))))),
    inference(monotonicity,[status(thm)],[166,85]) ).

tff(168,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),
    inference(symmetry,[status(thm)],[167]) ).

tff(169,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))))) = divide(inverse(a1),a1) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(170,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))))) = divide(inverse(a1),a1),
    inference(unit_resolution,[status(thm)],[169,43]) ).

tff(171,plain,
    divide(inverse(a1),a1) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(inverse(a1),a1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))))),
    inference(symmetry,[status(thm)],[170]) ).

tff(172,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),
    inference(transitivity,[status(thm)],[165,171,168]) ).

tff(173,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(b1,b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),b1)) = b1 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(174,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(b1,b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),b1)) = b1,
    inference(unit_resolution,[status(thm)],[173,43]) ).

tff(175,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),b1) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),
    inference(monotonicity,[status(thm)],[89]) ).

tff(176,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),b1),
    inference(symmetry,[status(thm)],[175]) ).

tff(177,plain,
    divide(b1,b1) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),
    inference(transitivity,[status(thm)],[158,142,140,77,83]) ).

tff(178,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(b1,b1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),
    inference(monotonicity,[status(thm)],[177]) ).

tff(179,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(b1,b1)),
    inference(symmetry,[status(thm)],[178]) ).

tff(180,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(symmetry,[status(thm)],[53]) ).

tff(181,plain,
    divide(inverse(a1),divide(inverse(a1),a1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(transitivity,[status(thm)],[57,180]) ).

tff(182,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))),
    inference(monotonicity,[status(thm)],[74]) ).

tff(183,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),
    inference(symmetry,[status(thm)],[182]) ).

tff(184,plain,
    divide(inverse(a1),divide(inverse(a1),a1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),
    inference(transitivity,[status(thm)],[57,183]) ).

tff(185,plain,
    divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),divide(inverse(a1),a1))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(monotonicity,[status(thm)],[184,181]) ).

tff(186,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(symmetry,[status(thm)],[185]) ).

tff(187,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(188,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))),
    inference(unit_resolution,[status(thm)],[187,43]) ).

tff(189,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(symmetry,[status(thm)],[188]) ).

tff(190,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) = divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(transitivity,[status(thm)],[84,78,69,189,186]) ).

tff(191,plain,
    divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1))),
    inference(transitivity,[status(thm)],[106,105,131,126,129,57,180]) ).

tff(192,plain,
    divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(monotonicity,[status(thm)],[184,191]) ).

tff(193,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),a1),divide(inverse(a1),divide(inverse(a1),a1)))),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),
    inference(symmetry,[status(thm)],[192]) ).

tff(194,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) = divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),
    inference(transitivity,[status(thm)],[84,78,69,189,193]) ).

tff(195,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))) = divide(divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(monotonicity,[status(thm)],[194,190]) ).

tff(196,plain,
    divide(divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),
    inference(symmetry,[status(thm)],[195]) ).

tff(197,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(198,plain,
    divide(divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),divide(inverse(a1),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),
    inference(unit_resolution,[status(thm)],[197,43]) ).

tff(199,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) = divide(divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(inverse(a1),divide(inverse(a1),a1)),divide(inverse(a1),divide(inverse(a1),a1)))),
    inference(symmetry,[status(thm)],[198]) ).

tff(200,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(b1,b1)),
    inference(transitivity,[status(thm)],[199,196,179]) ).

tff(201,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(b1,b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),b1)),
    inference(monotonicity,[status(thm)],[200,176]) ).

tff(202,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)) = b1,
    inference(transitivity,[status(thm)],[201,174]) ).

tff(203,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))) = divide(divide(inverse(a1),a1),b1),
    inference(monotonicity,[status(thm)],[165,202]) ).

tff(204,plain,
    divide(divide(inverse(a1),a1),b1) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),
    inference(symmetry,[status(thm)],[203]) ).

tff(205,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(b1,b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),b1)),
    inference(monotonicity,[status(thm)],[179,176]) ).

tff(206,plain,
    divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(b1,b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),b1)) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),
    inference(symmetry,[status(thm)],[205]) ).

tff(207,plain,
    b1 = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(b1,b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),b1)),
    inference(symmetry,[status(thm)],[174]) ).

tff(208,plain,
    b1 = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1)),
    inference(transitivity,[status(thm)],[207,206]) ).

tff(209,plain,
    divide(divide(inverse(a1),a1),b1) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),
    inference(monotonicity,[status(thm)],[164,208]) ).

tff(210,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))) = divide(divide(inverse(a1),a1),b1),
    inference(symmetry,[status(thm)],[209]) ).

tff(211,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),
    inference(transitivity,[status(thm)],[210,204]) ).

tff(212,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),
    inference(monotonicity,[status(thm)],[211,172]) ).

tff(213,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))))),
    inference(symmetry,[status(thm)],[212]) ).

tff(214,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(215,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1),
    inference(unit_resolution,[status(thm)],[214,43]) ).

tff(216,plain,
    divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),
    inference(symmetry,[status(thm)],[215]) ).

tff(217,plain,
    inverse(b1) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))))))),
    inference(transitivity,[status(thm)],[9,216,213]) ).

tff(218,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),
    inference(monotonicity,[status(thm)],[211]) ).

tff(219,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),
    inference(symmetry,[status(thm)],[218]) ).

tff(220,plain,
    inverse(b1) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),
    inference(transitivity,[status(thm)],[9,216,219]) ).

tff(221,plain,
    divide(inverse(b1),inverse(b1)) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))))),
    inference(monotonicity,[status(thm)],[220,217]) ).

tff(222,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))))) = divide(inverse(b1),inverse(b1)),
    inference(symmetry,[status(thm)],[221]) ).

tff(223,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,divide(B,C)),divide(A,B)) = C )
    | ( divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(224,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))))) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),
    inference(unit_resolution,[status(thm)],[223,43]) ).

tff(225,plain,
    divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(a1),divide(inverse(a1),a1))),divide(divide(b1,b1),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)))))))),
    inference(symmetry,[status(thm)],[224]) ).

tff(226,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(divide(inverse(a1),inverse(a1)),a1),a1) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(227,plain,
    multiply(divide(divide(inverse(a1),inverse(a1)),a1),a1) = divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),a1),divide(divide(inverse(a1),inverse(a1)),a1)),a1)),
    inference(unit_resolution,[status(thm)],[226,18]) ).

tff(228,plain,
    multiply(inverse(a1),a1) = multiply(divide(divide(inverse(a1),inverse(a1)),a1),a1),
    inference(monotonicity,[status(thm)],[47]) ).

tff(229,plain,
    multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
    inference(transitivity,[status(thm)],[228,227,225,222,24,21,11]) ).

tff(230,plain,
    ( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
  <=> ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(231,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

tff(232,plain,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    inference(modus_ponens,[status(thm)],[231,230]) ).

tff(233,plain,
    $false,
    inference(unit_resolution,[status(thm)],[232,229]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP529-1 : TPTP v9.0.0. Released v2.6.0.
% 0.07/0.12  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n016.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   : Thu Jun 19 16:16:02 EDT 2025
% 0.12/0.34  % CPUTime    : 
% 0.46/0.63  % SZS status Unsatisfiable
% 0.46/0.63  % SZS output start Proof
% See solution above
% 0.53/0.72  % E exiting
%------------------------------------------------------------------------------