%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP451-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:07:46 AM UTC 2025
% Result : Unsatisfiable 3.80s 3.97s
% Output : Proof 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 64
% Syntax : Number of formulae : 328 ( 268 unt; 0 typ; 0 def)
% Number of atoms : 394 ( 390 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 120 ( 57 ~; 53 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 21 ( 3 avg)
% Number of FOOLs : 3 ( 3 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 207 ( 199 !; 0 ?; 207 :)
% Comments :
%------------------------------------------------------------------------------
tff(multiply_type,type,
multiply: ( $i * $i ) > $i ).
tff(b1_type,type,
b1: $i ).
tff(inverse_type,type,
inverse: $i > $i ).
tff(a1_type,type,
a1: $i ).
tff(divide_type,type,
divide: ( $i * $i ) > $i ).
tff(1,plain,
^ [B: $i,A: $i] :
refl(( ( inverse(A) = divide(divide(B,B),A) )
<=> ( inverse(A) = divide(divide(B,B),A) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
<=> ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
<=> ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
tff(5,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(b1) = divide(divide(inverse(a1),inverse(a1)),b1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
inverse(b1) = divide(divide(inverse(a1),inverse(a1)),b1),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
multiply(inverse(b1),b1) = multiply(divide(divide(inverse(a1),inverse(a1)),b1),b1),
inference(monotonicity,[status(thm)],[9]) ).
tff(11,plain,
multiply(divide(divide(inverse(a1),inverse(a1)),b1),b1) = multiply(inverse(b1),b1),
inference(symmetry,[status(thm)],[10]) ).
tff(12,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
<=> ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) )),
inference(bind,[status(th)],[]) ).
tff(13,plain,
( ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
<=> ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) ),
inference(quant_intro,[status(thm)],[12]) ).
tff(14,plain,
( ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
<=> ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,axiom,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
tff(16,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(skolemize,[status(sab)],[16]) ).
tff(18,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(modus_ponens,[status(thm)],[17,13]) ).
tff(19,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(inverse(a1),inverse(a1)),b1),b1) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(20,plain,
multiply(divide(divide(inverse(a1),inverse(a1)),b1),b1) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(unit_resolution,[status(thm)],[19,18]) ).
tff(21,plain,
divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)) = multiply(divide(divide(inverse(a1),inverse(a1)),b1),b1),
inference(symmetry,[status(thm)],[20]) ).
tff(22,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
<=> ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ) )),
inference(bind,[status(th)],[]) ).
tff(23,plain,
( ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,plain,
( ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,axiom,
! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
tff(26,plain,
! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ),
inference(skolemize,[status(sab)],[26]) ).
tff(28,plain,
! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ),
inference(modus_ponens,[status(thm)],[27,23]) ).
tff(29,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(30,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(unit_resolution,[status(thm)],[29,28]) ).
tff(31,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(32,plain,
inverse(divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(unit_resolution,[status(thm)],[31,7]) ).
tff(33,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(34,plain,
inverse(divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(unit_resolution,[status(thm)],[33,7]) ).
tff(35,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = inverse(divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[34]) ).
tff(36,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(37,plain,
inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(unit_resolution,[status(thm)],[36,7]) ).
tff(38,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(39,plain,
inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(unit_resolution,[status(thm)],[38,7]) ).
tff(40,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(symmetry,[status(thm)],[39]) ).
tff(41,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[40,37]) ).
tff(42,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(monotonicity,[status(thm)],[41]) ).
tff(43,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(transitivity,[status(thm)],[42,35,32]) ).
tff(44,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(monotonicity,[status(thm)],[43]) ).
tff(45,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(monotonicity,[status(thm)],[44]) ).
tff(46,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(monotonicity,[status(thm)],[45]) ).
tff(47,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(symmetry,[status(thm)],[46]) ).
tff(48,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(49,plain,
multiply(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(unit_resolution,[status(thm)],[48,18]) ).
tff(50,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(symmetry,[status(thm)],[37]) ).
tff(51,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(52,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(unit_resolution,[status(thm)],[51,28]) ).
tff(53,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(monotonicity,[status(thm)],[41]) ).
tff(54,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[53,40,37]) ).
tff(55,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[54]) ).
tff(56,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(symmetry,[status(thm)],[55]) ).
tff(57,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(58,plain,
inverse(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(unit_resolution,[status(thm)],[57,7]) ).
tff(59,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(60,plain,
inverse(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(unit_resolution,[status(thm)],[59,7]) ).
tff(61,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = inverse(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(symmetry,[status(thm)],[60]) ).
tff(62,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[54]) ).
tff(63,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(transitivity,[status(thm)],[62,61,58,56]) ).
tff(64,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),
inference(monotonicity,[status(thm)],[63]) ).
tff(65,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),
inference(monotonicity,[status(thm)],[64]) ).
tff(66,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),
inference(symmetry,[status(thm)],[65]) ).
tff(67,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(monotonicity,[status(thm)],[66]) ).
tff(68,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(symmetry,[status(thm)],[67]) ).
tff(69,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(70,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(unit_resolution,[status(thm)],[69,28]) ).
tff(71,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(symmetry,[status(thm)],[70]) ).
tff(72,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(73,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(unit_resolution,[status(thm)],[72,28]) ).
tff(74,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(monotonicity,[status(thm)],[43]) ).
tff(75,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(transitivity,[status(thm)],[74,73]) ).
tff(76,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(monotonicity,[status(thm)],[75]) ).
tff(77,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[76]) ).
tff(78,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[77,71,68,52,50,39]) ).
tff(79,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(monotonicity,[status(thm)],[78]) ).
tff(80,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(81,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),
inference(unit_resolution,[status(thm)],[80,28]) ).
tff(82,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[81]) ).
tff(83,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))) = divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(transitivity,[status(thm)],[82,79,42,35,32]) ).
tff(84,plain,
multiply(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = multiply(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(monotonicity,[status(thm)],[83]) ).
tff(85,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(86,plain,
multiply(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),
inference(unit_resolution,[status(thm)],[85,18]) ).
tff(87,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))) = multiply(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(symmetry,[status(thm)],[86]) ).
tff(88,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(89,plain,
inverse(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(unit_resolution,[status(thm)],[88,7]) ).
tff(90,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(91,plain,
inverse(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(unit_resolution,[status(thm)],[90,7]) ).
tff(92,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = inverse(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(symmetry,[status(thm)],[91]) ).
tff(93,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(monotonicity,[status(thm)],[41]) ).
tff(94,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),
inference(monotonicity,[status(thm)],[93]) ).
tff(95,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(monotonicity,[status(thm)],[94]) ).
tff(96,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),
inference(symmetry,[status(thm)],[94]) ).
tff(97,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[79]) ).
tff(98,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),
inference(transitivity,[status(thm)],[97,81,96]) ).
tff(99,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(monotonicity,[status(thm)],[98]) ).
tff(100,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(transitivity,[status(thm)],[99,95,92,89]) ).
tff(101,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),
inference(monotonicity,[status(thm)],[100]) ).
tff(102,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(transitivity,[status(thm)],[101,87,84,49]) ).
tff(103,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(monotonicity,[status(thm)],[102]) ).
tff(104,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(transitivity,[status(thm)],[103,47]) ).
tff(105,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(monotonicity,[status(thm)],[104]) ).
tff(106,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[105]) ).
tff(107,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(monotonicity,[status(thm)],[43]) ).
tff(108,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(monotonicity,[status(thm)],[107]) ).
tff(109,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(monotonicity,[status(thm)],[108]) ).
tff(110,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(symmetry,[status(thm)],[109]) ).
tff(111,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(112,plain,
multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(unit_resolution,[status(thm)],[111,18]) ).
tff(113,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(114,plain,
inverse(divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(unit_resolution,[status(thm)],[113,7]) ).
tff(115,plain,
inverse(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = inverse(divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(monotonicity,[status(thm)],[83]) ).
tff(116,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(117,plain,
inverse(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(unit_resolution,[status(thm)],[116,7]) ).
tff(118,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = inverse(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(symmetry,[status(thm)],[117]) ).
tff(119,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[42]) ).
tff(120,plain,
divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = inverse(divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[32]) ).
tff(121,plain,
divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),
inference(transitivity,[status(thm)],[120,34,119,97,81]) ).
tff(122,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[61,58,71,68,52]) ).
tff(123,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(monotonicity,[status(thm)],[122,121]) ).
tff(124,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(transitivity,[status(thm)],[123,118,115,114]) ).
tff(125,plain,
multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(monotonicity,[status(thm)],[124]) ).
tff(126,plain,
multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(symmetry,[status(thm)],[125]) ).
tff(127,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(128,plain,
multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(unit_resolution,[status(thm)],[127,18]) ).
tff(129,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = multiply(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(symmetry,[status(thm)],[128]) ).
tff(130,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(transitivity,[status(thm)],[46,129,126,112,110]) ).
tff(131,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(monotonicity,[status(thm)],[130]) ).
tff(132,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[131]) ).
tff(133,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(134,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(unit_resolution,[status(thm)],[133,28]) ).
tff(135,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[134]) ).
tff(136,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = inverse(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(symmetry,[status(thm)],[58]) ).
tff(137,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[71,68,52]) ).
tff(138,plain,
divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[30]) ).
tff(139,plain,
divide(inverse(b1),inverse(b1)) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(monotonicity,[status(thm)],[9,9]) ).
tff(140,plain,
divide(divide(inverse(a1),inverse(a1)),b1) = inverse(b1),
inference(symmetry,[status(thm)],[9]) ).
tff(141,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(b1,divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = b1 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(142,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(b1,divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = b1,
inference(unit_resolution,[status(thm)],[141,28]) ).
tff(143,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(transitivity,[status(thm)],[136,60,135,132,106,30]) ).
tff(144,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(145,plain,
inverse(divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(unit_resolution,[status(thm)],[144,7]) ).
tff(146,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(inverse(a1),inverse(a1)),b1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(147,plain,
inverse(divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(unit_resolution,[status(thm)],[146,7]) ).
tff(148,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(inverse(a1),inverse(a1)),b1)) = inverse(divide(divide(inverse(a1),inverse(a1)),b1)),
inference(symmetry,[status(thm)],[147]) ).
tff(149,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(inverse(a1),inverse(a1)),b1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(150,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(inverse(a1),inverse(a1)),b1),
inference(unit_resolution,[status(thm)],[149,28]) ).
tff(151,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(inverse(a1),inverse(a1)),b1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(152,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(inverse(a1),inverse(a1)),b1),
inference(unit_resolution,[status(thm)],[151,28]) ).
tff(153,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(154,plain,
inverse(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(unit_resolution,[status(thm)],[153,7]) ).
tff(155,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(156,plain,
inverse(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(unit_resolution,[status(thm)],[155,7]) ).
tff(157,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = inverse(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(symmetry,[status(thm)],[156]) ).
tff(158,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(transitivity,[status(thm)],[157,154]) ).
tff(159,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(monotonicity,[status(thm)],[158]) ).
tff(160,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = inverse(b1),
inference(transitivity,[status(thm)],[159,152,140]) ).
tff(161,plain,
divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(inverse(b1),inverse(b1)),
inference(monotonicity,[status(thm)],[140,160]) ).
tff(162,plain,
divide(inverse(b1),inverse(b1)) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(symmetry,[status(thm)],[161]) ).
tff(163,plain,
divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)) = divide(inverse(b1),inverse(b1)),
inference(symmetry,[status(thm)],[139]) ).
tff(164,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[137]) ).
tff(165,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[164,71,68,52]) ).
tff(166,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[137,165]) ).
tff(167,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(168,plain,
multiply(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),
inference(unit_resolution,[status(thm)],[167,18]) ).
tff(169,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(170,plain,
multiply(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),
inference(unit_resolution,[status(thm)],[169,18]) ).
tff(171,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))) = multiply(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),
inference(symmetry,[status(thm)],[170]) ).
tff(172,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(173,plain,
inverse(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),
inference(unit_resolution,[status(thm)],[172,7]) ).
tff(174,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(175,plain,
inverse(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),
inference(unit_resolution,[status(thm)],[174,7]) ).
tff(176,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = inverse(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),
inference(symmetry,[status(thm)],[175]) ).
tff(177,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),
inference(monotonicity,[status(thm)],[55]) ).
tff(178,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),
inference(transitivity,[status(thm)],[177,176,173]) ).
tff(179,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(symmetry,[status(thm)],[52]) ).
tff(180,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(transitivity,[status(thm)],[179,67,70]) ).
tff(181,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),
inference(monotonicity,[status(thm)],[180,178]) ).
tff(182,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(183,plain,
divide(divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),
inference(unit_resolution,[status(thm)],[182,28]) ).
tff(184,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(inverse(a1),inverse(a1)),b1),
inference(transitivity,[status(thm)],[159,152]) ).
tff(185,plain,
divide(divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(monotonicity,[status(thm)],[184]) ).
tff(186,plain,
divide(divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(transitivity,[status(thm)],[185,183,181,171,168,166,136,60,135,132,106,30,163,162]) ).
tff(187,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(monotonicity,[status(thm)],[186]) ).
tff(188,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(monotonicity,[status(thm)],[187]) ).
tff(189,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(monotonicity,[status(thm)],[188]) ).
tff(190,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(191,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),
inference(unit_resolution,[status(thm)],[190,28]) ).
tff(192,plain,
divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[191]) ).
tff(193,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(b1) = divide(divide(b1,b1),b1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(194,plain,
inverse(b1) = divide(divide(b1,b1),b1),
inference(unit_resolution,[status(thm)],[193,7]) ).
tff(195,plain,
divide(divide(b1,b1),b1) = inverse(b1),
inference(symmetry,[status(thm)],[194]) ).
tff(196,plain,
divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1)) = divide(inverse(b1),inverse(b1)),
inference(monotonicity,[status(thm)],[195,140]) ).
tff(197,plain,
divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(transitivity,[status(thm)],[196,139]) ).
tff(198,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(monotonicity,[status(thm)],[197]) ).
tff(199,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(symmetry,[status(thm)],[198]) ).
tff(200,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[137,137]) ).
tff(201,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[200,71,68,52]) ).
tff(202,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[201,137]) ).
tff(203,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[202,71,68,52]) ).
tff(204,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[203,137]) ).
tff(205,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[204,71,68,199]) ).
tff(206,plain,
divide(b1,divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))) = divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[205]) ).
tff(207,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(b1,b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(b1,b1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(208,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(b1,b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(b1,b1),
inference(unit_resolution,[status(thm)],[207,28]) ).
tff(209,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(monotonicity,[status(thm)],[184]) ).
tff(210,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(symmetry,[status(thm)],[209]) ).
tff(211,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(b1,b1),divide(divide(inverse(a1),inverse(a1)),b1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(212,plain,
inverse(divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(b1,b1),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(unit_resolution,[status(thm)],[211,7]) ).
tff(213,plain,
divide(divide(b1,b1),divide(divide(inverse(a1),inverse(a1)),b1)) = inverse(divide(divide(inverse(a1),inverse(a1)),b1)),
inference(symmetry,[status(thm)],[212]) ).
tff(214,plain,
divide(divide(b1,b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(b1,b1),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(monotonicity,[status(thm)],[184]) ).
tff(215,plain,
divide(divide(b1,b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(transitivity,[status(thm)],[214,213,145,210]) ).
tff(216,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(b1,b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(monotonicity,[status(thm)],[215]) ).
tff(217,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(b1,b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(monotonicity,[status(thm)],[216]) ).
tff(218,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(b1,b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(monotonicity,[status(thm)],[217]) ).
tff(219,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(b1,b1),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[218]) ).
tff(220,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(221,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(unit_resolution,[status(thm)],[220,28]) ).
tff(222,plain,
divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[221]) ).
tff(223,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(b1,b1),
inference(transitivity,[status(thm)],[136,60,135,132,106,30,222,219,208]) ).
tff(224,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(b1,divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))))) = divide(divide(b1,b1),divide(b1,divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))),divide(divide(divide(b1,b1),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),
inference(monotonicity,[status(thm)],[223,206]) ).
tff(225,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(b1,divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))))) = divide(divide(inverse(a1),inverse(a1)),b1),
inference(transitivity,[status(thm)],[224,192,189,150]) ).
tff(226,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(227,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(unit_resolution,[status(thm)],[226,28]) ).
tff(228,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(symmetry,[status(thm)],[44]) ).
tff(229,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(230,plain,
inverse(divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(unit_resolution,[status(thm)],[229,7]) ).
tff(231,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = inverse(divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(symmetry,[status(thm)],[230]) ).
tff(232,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(monotonicity,[status(thm)],[43]) ).
tff(233,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(transitivity,[status(thm)],[232,231,114,228]) ).
tff(234,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(monotonicity,[status(thm)],[233]) ).
tff(235,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(transitivity,[status(thm)],[234,45]) ).
tff(236,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(monotonicity,[status(thm)],[235]) ).
tff(237,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(transitivity,[status(thm)],[236,47]) ).
tff(238,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(monotonicity,[status(thm)],[237]) ).
tff(239,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[238]) ).
tff(240,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(transitivity,[status(thm)],[200,136,60,135,132,239,227]) ).
tff(241,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(b1,divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(monotonicity,[status(thm)],[240,225]) ).
tff(242,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(b1,divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(transitivity,[status(thm)],[241,148,145]) ).
tff(243,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(b1,divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(monotonicity,[status(thm)],[242,143]) ).
tff(244,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(b1,divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),
inference(symmetry,[status(thm)],[243]) ).
tff(245,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(monotonicity,[status(thm)],[143]) ).
tff(246,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = b1,
inference(transitivity,[status(thm)],[245,244,142]) ).
tff(247,plain,
divide(divide(inverse(a1),inverse(a1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))) = divide(divide(inverse(a1),inverse(a1)),b1),
inference(monotonicity,[status(thm)],[246]) ).
tff(248,plain,
divide(divide(inverse(a1),inverse(a1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))) = inverse(b1),
inference(transitivity,[status(thm)],[247,140]) ).
tff(249,plain,
divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))))) = divide(inverse(b1),inverse(b1)),
inference(monotonicity,[status(thm)],[140,248]) ).
tff(250,plain,
divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[249,139,138,105,131,134,61,58,71,68,52]) ).
tff(251,plain,
divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[138,105,131,134,61,58,71,68,52]) ).
tff(252,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[251,250]) ).
tff(253,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[252,71,68,52]) ).
tff(254,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[253,137]) ).
tff(255,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(inverse(a1),inverse(a1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(256,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(inverse(a1),inverse(a1)),
inference(unit_resolution,[status(thm)],[255,28]) ).
tff(257,plain,
divide(inverse(a1),inverse(a1)) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),
inference(symmetry,[status(thm)],[256]) ).
tff(258,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(a1) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),a1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(259,plain,
inverse(a1) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),a1),
inference(unit_resolution,[status(thm)],[258,7]) ).
tff(260,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),a1) = inverse(a1),
inference(symmetry,[status(thm)],[259]) ).
tff(261,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(a1) = divide(divide(inverse(a1),inverse(a1)),a1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(262,plain,
inverse(a1) = divide(divide(inverse(a1),inverse(a1)),a1),
inference(unit_resolution,[status(thm)],[261,7]) ).
tff(263,plain,
divide(divide(inverse(a1),inverse(a1)),a1) = inverse(a1),
inference(symmetry,[status(thm)],[262]) ).
tff(264,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = inverse(a1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(265,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = inverse(a1),
inference(unit_resolution,[status(thm)],[264,28]) ).
tff(266,plain,
divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(inverse(a1),inverse(a1)),
inference(monotonicity,[status(thm)],[265]) ).
tff(267,plain,
divide(inverse(a1),inverse(a1)) = divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(symmetry,[status(thm)],[266]) ).
tff(268,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)) = inverse(a1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(269,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)) = inverse(a1),
inference(unit_resolution,[status(thm)],[268,28]) ).
tff(270,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(271,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),
inference(unit_resolution,[status(thm)],[270,28]) ).
tff(272,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(273,plain,
inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(unit_resolution,[status(thm)],[272,7]) ).
tff(274,plain,
divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(monotonicity,[status(thm)],[42]) ).
tff(275,plain,
divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(symmetry,[status(thm)],[274]) ).
tff(276,plain,
inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(monotonicity,[status(thm)],[275]) ).
tff(277,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(278,plain,
inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(unit_resolution,[status(thm)],[277,7]) ).
tff(279,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = inverse(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(symmetry,[status(thm)],[278]) ).
tff(280,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(transitivity,[status(thm)],[202,136,60,135,132,239,227]) ).
tff(281,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(monotonicity,[status(thm)],[280]) ).
tff(282,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(transitivity,[status(thm)],[281,279,276,273]) ).
tff(283,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(monotonicity,[status(thm)],[282]) ).
tff(284,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),
inference(transitivity,[status(thm)],[283,271]) ).
tff(285,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(monotonicity,[status(thm)],[143,284]) ).
tff(286,plain,
divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),
inference(symmetry,[status(thm)],[285]) ).
tff(287,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))) = divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),
inference(transitivity,[status(thm)],[202,136,60,135,132,106,30]) ).
tff(288,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)),
inference(monotonicity,[status(thm)],[287]) ).
tff(289,plain,
divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))) = divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),
inference(monotonicity,[status(thm)],[288]) ).
tff(290,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(monotonicity,[status(thm)],[143,289]) ).
tff(291,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),
inference(transitivity,[status(thm)],[290,286]) ).
tff(292,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(monotonicity,[status(thm)],[291]) ).
tff(293,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(symmetry,[status(thm)],[292]) ).
tff(294,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)) = divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)),
inference(monotonicity,[status(thm)],[293]) ).
tff(295,plain,
divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)) = inverse(a1),
inference(transitivity,[status(thm)],[294,269]) ).
tff(296,plain,
divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))) = divide(inverse(a1),inverse(a1)),
inference(monotonicity,[status(thm)],[295]) ).
tff(297,plain,
divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))) = divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),
inference(transitivity,[status(thm)],[296,267]) ).
tff(298,plain,
divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(monotonicity,[status(thm)],[297]) ).
tff(299,plain,
divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[298]) ).
tff(300,plain,
divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[266,257,254,71,68,52]) ).
tff(301,plain,
divide(inverse(a1),inverse(a1)) = divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),
inference(transitivity,[status(thm)],[257,254,71,68,52]) ).
tff(302,plain,
divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))) = divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),
inference(monotonicity,[status(thm)],[301,300]) ).
tff(303,plain,
divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))) = divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),
inference(symmetry,[status(thm)],[302]) ).
tff(304,plain,
divide(inverse(a1),inverse(a1)) = divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(transitivity,[status(thm)],[257,254,303,299]) ).
tff(305,plain,
divide(divide(inverse(a1),inverse(a1)),a1) = divide(divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),a1),
inference(monotonicity,[status(thm)],[304]) ).
tff(306,plain,
divide(divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),a1) = divide(divide(inverse(a1),inverse(a1)),a1),
inference(symmetry,[status(thm)],[305]) ).
tff(307,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
| ( divide(divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),a1) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(308,plain,
divide(divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),a1) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(unit_resolution,[status(thm)],[307,28]) ).
tff(309,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(inverse(a1),inverse(a1)),divide(inverse(a1),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),a1),
inference(symmetry,[status(thm)],[308]) ).
tff(310,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(monotonicity,[status(thm)],[200,285]) ).
tff(311,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))))))),divide(divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))))),
inference(symmetry,[status(thm)],[310]) ).
tff(312,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(313,plain,
multiply(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(unit_resolution,[status(thm)],[312,18]) ).
tff(314,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(315,plain,
multiply(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(unit_resolution,[status(thm)],[314,18]) ).
tff(316,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = multiply(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[315]) ).
tff(317,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = inverse(a1),
inference(transitivity,[status(thm)],[316,313,311,309,306,263]) ).
tff(318,plain,
divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),a1)) = divide(inverse(a1),inverse(a1)),
inference(monotonicity,[status(thm)],[317,260]) ).
tff(319,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),a1) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),a1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(320,plain,
multiply(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),a1) = divide(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))))),a1)),
inference(unit_resolution,[status(thm)],[319,18]) ).
tff(321,plain,
divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))) = multiply(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))),
inference(symmetry,[status(thm)],[313]) ).
tff(322,plain,
inverse(a1) = divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),
inference(transitivity,[status(thm)],[262,305,308,310,321,315]) ).
tff(323,plain,
multiply(inverse(a1),a1) = multiply(divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)))),divide(divide(divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),divide(inverse(a1),divide(inverse(a1),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1)))))),divide(inverse(a1),divide(divide(divide(divide(inverse(a1),inverse(a1)),b1),divide(divide(inverse(a1),inverse(a1)),b1)),divide(divide(divide(inverse(a1),inverse(a1)),inverse(a1)),a1))))),a1),
inference(monotonicity,[status(thm)],[322]) ).
tff(324,plain,
multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
inference(transitivity,[status(thm)],[323,320,318,257,254,136,60,135,132,106,30,21,11]) ).
tff(325,plain,
( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
<=> ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(326,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
tff(327,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(modus_ponens,[status(thm)],[326,325]) ).
tff(328,plain,
$false,
inference(unit_resolution,[status(thm)],[327,324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP451-1 : TPTP v9.0.0. Released v2.6.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 16:06:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 3.80/3.97 % SZS status Unsatisfiable
% 3.80/3.97 % SZS output start Proof
% See solution above
% 4.16/4.32 % E exiting
%------------------------------------------------------------------------------