TSTP Solution File: GRP448-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP448-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 16 22:27:31 EDT 2022
% Result : Unsatisfiable 19.55s 12.83s
% Output : Proof 19.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 42
% Syntax : Number of formulae : 167 ( 129 unt; 5 typ; 0 def)
% Number of atoms : 201 ( 197 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 66 ( 30 ~; 26 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of FOOLs : 3 ( 3 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 136 ( 128 !; 0 ?; 136 :)
% 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,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(2,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)],[1]) ).
tff(3,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(4,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(5,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(inverse(b1),b1) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
multiply(inverse(b1),b1) = divide(inverse(b1),divide(divide(a1,a1),b1)),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
divide(inverse(b1),divide(divide(a1,a1),b1)) = multiply(inverse(b1),b1),
inference(symmetry,[status(thm)],[9]) ).
tff(11,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B )
<=> ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B ) )),
inference(bind,[status(th)],]) ).
tff(12,plain,
( ! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B )
<=> ! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B ) ),
inference(quant_intro,[status(thm)],[11]) ).
tff(13,plain,
( ! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B )
<=> ! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B ) ),
inference(rewrite,[status(thm)],]) ).
tff(14,axiom,
! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
tff(15,plain,
! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B ),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B ),
inference(skolemize,[status(sab)],[15]) ).
tff(17,plain,
! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B ),
inference(modus_ponens,[status(thm)],[16,12]) ).
tff(18,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B )
| ( divide(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1))),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(19,plain,
divide(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1))),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
inference(unit_resolution,[status(thm)],[18,17]) ).
tff(20,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(21,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)],[20]) ).
tff(22,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(23,axiom,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
tff(24,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(skolemize,[status(sab)],[24]) ).
tff(26,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(28,plain,
inverse(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),
inference(unit_resolution,[status(thm)],[27,26]) ).
tff(29,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(30,plain,
inverse(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),
inference(unit_resolution,[status(thm)],[29,26]) ).
tff(31,plain,
divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) = inverse(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),
inference(symmetry,[status(thm)],[30]) ).
tff(32,plain,
divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),
inference(transitivity,[status(thm)],[31,28]) ).
tff(33,plain,
divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(monotonicity,[status(thm)],[32]) ).
tff(34,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(35,plain,
inverse(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(unit_resolution,[status(thm)],[34,26]) ).
tff(36,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(37,plain,
inverse(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(unit_resolution,[status(thm)],[36,26]) ).
tff(38,plain,
divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = inverse(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(symmetry,[status(thm)],[37]) ).
tff(39,plain,
divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(transitivity,[status(thm)],[38,35]) ).
tff(40,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(monotonicity,[status(thm)],[39]) ).
tff(41,plain,
divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(symmetry,[status(thm)],[40]) ).
tff(42,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = inverse(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(symmetry,[status(thm)],[35]) ).
tff(43,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B )
| ( divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(44,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),
inference(unit_resolution,[status(thm)],[43,17]) ).
tff(45,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(b1) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(46,plain,
inverse(b1) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),
inference(unit_resolution,[status(thm)],[45,26]) ).
tff(47,plain,
divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1) = inverse(b1),
inference(symmetry,[status(thm)],[46]) ).
tff(48,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),
inference(monotonicity,[status(thm)],[39]) ).
tff(49,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1) = inverse(b1),
inference(transitivity,[status(thm)],[48,47]) ).
tff(50,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1)) = divide(inverse(b1),inverse(b1)),
inference(monotonicity,[status(thm)],[49,49]) ).
tff(51,plain,
divide(inverse(b1),inverse(b1)) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1)),
inference(symmetry,[status(thm)],[50]) ).
tff(52,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(b1) = divide(divide(a1,a1),b1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(53,plain,
inverse(b1) = divide(divide(a1,a1),b1),
inference(unit_resolution,[status(thm)],[52,26]) ).
tff(54,plain,
divide(inverse(b1),inverse(b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)),
inference(monotonicity,[status(thm)],[53]) ).
tff(55,plain,
divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(inverse(b1),inverse(b1)),
inference(symmetry,[status(thm)],[54]) ).
tff(56,plain,
divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1)),
inference(transitivity,[status(thm)],[55,51]) ).
tff(57,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B )
| ( divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(58,plain,
divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),
inference(unit_resolution,[status(thm)],[57,17]) ).
tff(59,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B )
| ( divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(60,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),
inference(unit_resolution,[status(thm)],[59,17]) ).
tff(61,plain,
divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))),
inference(symmetry,[status(thm)],[60]) ).
tff(62,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))),
inference(monotonicity,[status(thm)],[61]) ).
tff(63,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(symmetry,[status(thm)],[62]) ).
tff(64,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(65,plain,
multiply(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))),
inference(unit_resolution,[status(thm)],[64,7]) ).
tff(66,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(transitivity,[status(thm)],[40,38,35]) ).
tff(67,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),
inference(monotonicity,[status(thm)],[66,66]) ).
tff(68,plain,
multiply(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = multiply(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))),
inference(monotonicity,[status(thm)],[67]) ).
tff(69,plain,
multiply(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = multiply(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))),
inference(symmetry,[status(thm)],[68]) ).
tff(70,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(71,plain,
multiply(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))),
inference(unit_resolution,[status(thm)],[70,7]) ).
tff(72,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))) = multiply(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))),
inference(symmetry,[status(thm)],[71]) ).
tff(73,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(transitivity,[status(thm)],[42,37,41]) ).
tff(74,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),
inference(monotonicity,[status(thm)],[41,73]) ).
tff(75,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),
inference(transitivity,[status(thm)],[74,67]) ).
tff(76,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))),
inference(monotonicity,[status(thm)],[75,75]) ).
tff(77,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))),
inference(symmetry,[status(thm)],[76]) ).
tff(78,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))),
inference(monotonicity,[status(thm)],[77]) ).
tff(79,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))),
inference(symmetry,[status(thm)],[78]) ).
tff(80,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B )
| ( divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(81,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),
inference(unit_resolution,[status(thm)],[80,17]) ).
tff(82,plain,
divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))))),
inference(symmetry,[status(thm)],[81]) ).
tff(83,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1))),
inference(monotonicity,[status(thm)],[56]) ).
tff(84,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(inverse(b1),divide(divide(a1,a1),b1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(85,plain,
inverse(divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(inverse(b1),divide(divide(a1,a1),b1))),
inference(unit_resolution,[status(thm)],[84,26]) ).
tff(86,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(87,plain,
inverse(divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),
inference(unit_resolution,[status(thm)],[86,26]) ).
tff(88,plain,
divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = inverse(divide(inverse(b1),divide(divide(a1,a1),b1))),
inference(symmetry,[status(thm)],[87]) ).
tff(89,plain,
divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(transitivity,[status(thm)],[88,85,83,44,82,79,72,69,65,63]) ).
tff(90,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),
inference(monotonicity,[status(thm)],[89]) ).
tff(91,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1) = inverse(b1),
inference(transitivity,[status(thm)],[90,47]) ).
tff(92,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(inverse(b1),inverse(b1)),
inference(monotonicity,[status(thm)],[49,91]) ).
tff(93,plain,
divide(inverse(b1),inverse(b1)) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
inference(symmetry,[status(thm)],[92]) ).
tff(94,plain,
divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
inference(transitivity,[status(thm)],[55,93]) ).
tff(95,plain,
divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
inference(monotonicity,[status(thm)],[94]) ).
tff(96,plain,
divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),
inference(transitivity,[status(thm)],[95,58]) ).
tff(97,plain,
divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),b1))),
inference(monotonicity,[status(thm)],[96,56]) ).
tff(98,plain,
divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),
inference(transitivity,[status(thm)],[97,44]) ).
tff(99,plain,
divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(monotonicity,[status(thm)],[98]) ).
tff(100,plain,
divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(transitivity,[status(thm)],[99,42,37,41]) ).
tff(101,plain,
divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))))) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(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inference(monotonicity,[status(thm)],[100,33]) ).
tff(102,plain,
divide(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1))),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide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inference(monotonicity,[status(thm)],[101]) ).
tff(103,plain,
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= divide(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1))),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))),
inference(symmetry,[status(thm)],[102]) ).
tff(104,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(105,plain,
inverse(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),
inference(unit_resolution,[status(thm)],[104,26]) ).
tff(106,plain,
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= 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inference(symmetry,[status(thm)],[105]) ).
tff(107,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),
inference(transitivity,[status(thm)],[106,28]) ).
tff(108,plain,
divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(monotonicity,[status(thm)],[107]) ).
tff(109,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B )
| ( divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(110,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),
inference(unit_resolution,[status(thm)],[109,17]) ).
tff(111,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(a1) = divide(divide(inverse(b1),inverse(b1)),a1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(112,plain,
inverse(a1) = divide(divide(inverse(b1),inverse(b1)),a1),
inference(unit_resolution,[status(thm)],[111,26]) ).
tff(113,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(a1) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(114,plain,
inverse(a1) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),
inference(unit_resolution,[status(thm)],[113,26]) ).
tff(115,plain,
divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1) = inverse(a1),
inference(symmetry,[status(thm)],[114]) ).
tff(116,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),
inference(monotonicity,[status(thm)],[39]) ).
tff(117,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1) = divide(divide(inverse(b1),inverse(b1)),a1),
inference(transitivity,[status(thm)],[116,115,112]) ).
tff(118,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),a1)),
inference(monotonicity,[status(thm)],[117,117]) ).
tff(119,plain,
divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),a1)) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),
inference(symmetry,[status(thm)],[118]) ).
tff(120,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(inverse(b1),inverse(b1)),a1),a1) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),a1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(121,plain,
multiply(divide(divide(inverse(b1),inverse(b1)),a1),a1) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),a1)),
inference(unit_resolution,[status(thm)],[120,7]) ).
tff(122,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(inverse(b1),inverse(b1)),a1),a1) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(123,plain,
multiply(divide(divide(inverse(b1),inverse(b1)),a1),a1) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),
inference(unit_resolution,[status(thm)],[122,7]) ).
tff(124,plain,
divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)) = multiply(divide(divide(inverse(b1),inverse(b1)),a1),a1),
inference(symmetry,[status(thm)],[123]) ).
tff(125,plain,
divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),
inference(transitivity,[status(thm)],[124,121,119]) ).
tff(126,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(127,plain,
inverse(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),
inference(unit_resolution,[status(thm)],[126,26]) ).
tff(128,plain,
inverse(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = inverse(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),
inference(monotonicity,[status(thm)],[125]) ).
tff(129,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(130,plain,
inverse(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),
inference(unit_resolution,[status(thm)],[129,26]) ).
tff(131,plain,
divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = inverse(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),
inference(symmetry,[status(thm)],[130]) ).
tff(132,plain,
divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),a1)) = multiply(divide(divide(inverse(b1),inverse(b1)),a1),a1),
inference(symmetry,[status(thm)],[121]) ).
tff(133,plain,
divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1) = divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),
inference(symmetry,[status(thm)],[116]) ).
tff(134,plain,
divide(divide(inverse(b1),inverse(b1)),a1) = inverse(a1),
inference(symmetry,[status(thm)],[112]) ).
tff(135,plain,
divide(divide(inverse(b1),inverse(b1)),a1) = divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),
inference(transitivity,[status(thm)],[134,114,133]) ).
tff(136,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(a1) = divide(divide(a1,a1),a1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(137,plain,
inverse(a1) = divide(divide(a1,a1),a1),
inference(unit_resolution,[status(thm)],[136,26]) ).
tff(138,plain,
divide(divide(a1,a1),a1) = inverse(a1),
inference(symmetry,[status(thm)],[137]) ).
tff(139,plain,
divide(divide(a1,a1),a1) = divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),
inference(transitivity,[status(thm)],[138,114,133]) ).
tff(140,plain,
divide(divide(divide(a1,a1),a1),divide(divide(inverse(b1),inverse(b1)),a1)) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),
inference(monotonicity,[status(thm)],[139,135]) ).
tff(141,plain,
divide(divide(divide(a1,a1),a1),divide(divide(inverse(b1),inverse(b1)),a1)) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),
inference(transitivity,[status(thm)],[140,118,132,123]) ).
tff(142,plain,
divide(divide(divide(a1,a1),a1),divide(divide(inverse(b1),inverse(b1)),a1)) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),a1)),
inference(transitivity,[status(thm)],[140,118]) ).
tff(143,plain,
divide(divide(divide(divide(a1,a1),a1),divide(divide(inverse(b1),inverse(b1)),a1)),divide(divide(divide(a1,a1),a1),divide(divide(inverse(b1),inverse(b1)),a1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),
inference(monotonicity,[status(thm)],[142,141]) ).
tff(144,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)) = divide(divide(divide(a1,a1),a1),divide(divide(inverse(b1),inverse(b1)),a1)),
inference(symmetry,[status(thm)],[140]) ).
tff(145,plain,
divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)) = divide(divide(divide(a1,a1),a1),divide(divide(inverse(b1),inverse(b1)),a1)),
inference(transitivity,[status(thm)],[124,121,119,144]) ).
tff(146,plain,
divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = divide(divide(divide(divide(a1,a1),a1),divide(divide(inverse(b1),inverse(b1)),a1)),divide(divide(divide(a1,a1),a1),divide(divide(inverse(b1),inverse(b1)),a1))),
inference(monotonicity,[status(thm)],[145,145]) ).
tff(147,plain,
divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),
inference(transitivity,[status(thm)],[146,143,131,128,127,110]) ).
tff(148,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),
inference(monotonicity,[status(thm)],[147,125]) ).
tff(149,plain,
divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),
inference(transitivity,[status(thm)],[148,110]) ).
tff(150,plain,
divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(monotonicity,[status(thm)],[149]) ).
tff(151,plain,
divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))) = divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),
inference(transitivity,[status(thm)],[150,42,37,41]) ).
tff(152,plain,
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= 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inference(monotonicity,[status(thm)],[151,108]) ).
tff(153,plain,
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= divide(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))),
inference(monotonicity,[status(thm)],[152]) ).
tff(154,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B )
| ( divide(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(155,plain,
divide(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inve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= divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),
inference(unit_resolution,[status(thm)],[154,17]) ).
tff(156,plain,
divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)) = divide(divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1))),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),a1))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),divide(divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))),inverse(b1)),inverse(b1)))),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),inverse(b1)))))))),
inference(symmetry,[status(thm)],[155]) ).
tff(157,plain,
multiply(inverse(a1),a1) = multiply(divide(divide(inverse(b1),inverse(b1)),a1),a1),
inference(monotonicity,[status(thm)],[112]) ).
tff(158,plain,
multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
inference(transitivity,[status(thm)],[157,123,156,153,103,19,10]) ).
tff(159,plain,
( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
<=> ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(160,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
tff(161,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(modus_ponens,[status(thm)],[160,159]) ).
tff(162,plain,
$false,
inference(unit_resolution,[status(thm)],[161,158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP448-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 31 17:20:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 19.55/12.83 % SZS status Unsatisfiable
% 19.55/12.83 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------