TSTP Solution File: GRP453-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP453-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 16 22:27:34 EDT 2022
% Result : Unsatisfiable 88.48s 55.77s
% Output : Proof 88.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 79
% Number of leaves : 102
% Syntax : Number of formulae : 709 ( 611 unt; 6 typ; 0 def)
% Number of atoms : 801 ( 797 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 184 ( 89 ~; 85 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 20 ( 2 avg)
% Number of FOOLs : 3 ( 3 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 310 ( 302 !; 0 ?; 310 :)
% Comments :
%------------------------------------------------------------------------------
tff(multiply_type,type,
multiply: ( $i * $i ) > $i ).
tff(c3_type,type,
c3: $i ).
tff(b3_type,type,
b3: $i ).
tff(a3_type,type,
a3: $i ).
tff(divide_type,type,
divide: ( $i * $i ) > $i ).
tff(inverse_type,type,
inverse: $i > $i ).
tff(1,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
<=> ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
<=> ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
<=> ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
tff(5,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(b3,c3) = divide(b3,divide(divide(b3,b3),c3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
multiply(b3,c3) = divide(b3,divide(divide(b3,b3),c3)),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,divide(b3,divide(divide(b3,b3),c3))),
inference(monotonicity,[status(thm)],[9]) ).
tff(11,plain,
multiply(a3,divide(b3,divide(divide(b3,b3),c3))) = multiply(a3,multiply(b3,c3)),
inference(symmetry,[status(thm)],[10]) ).
tff(12,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(a3,divide(b3,divide(divide(b3,b3),c3))) = divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(13,plain,
multiply(a3,divide(b3,divide(divide(b3,b3),c3))) = divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),
inference(unit_resolution,[status(thm)],[12,7]) ).
tff(14,plain,
divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = multiply(a3,divide(b3,divide(divide(b3,b3),c3))),
inference(symmetry,[status(thm)],[13]) ).
tff(15,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(16,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)],[15]) ).
tff(17,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(18,axiom,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
tff(19,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(skolemize,[status(sab)],[19]) ).
tff(21,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(modus_ponens,[status(thm)],[20,16]) ).
tff(22,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(c3) = divide(divide(b3,b3),c3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(23,plain,
inverse(c3) = divide(divide(b3,b3),c3),
inference(unit_resolution,[status(thm)],[22,21]) ).
tff(24,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(c3) = divide(divide(a3,a3),c3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(25,plain,
inverse(c3) = divide(divide(a3,a3),c3),
inference(unit_resolution,[status(thm)],[24,21]) ).
tff(26,plain,
divide(divide(a3,a3),c3) = inverse(c3),
inference(symmetry,[status(thm)],[25]) ).
tff(27,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(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 )
<=> ! [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)],[27]) ).
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 )
<=> ! [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(30,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(31,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)],[30,29]) ).
tff(32,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)],[31]) ).
tff(33,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)],[32,28]) ).
tff(34,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(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(35,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[34,33]) ).
tff(36,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(37,plain,
inverse(divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))),
inference(unit_resolution,[status(thm)],[36,21]) ).
tff(38,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(39,plain,
inverse(divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))),
inference(unit_resolution,[status(thm)],[38,21]) ).
tff(40,plain,
divide(divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = inverse(divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))),
inference(symmetry,[status(thm)],[39]) ).
tff(41,plain,
divide(divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))),
inference(transitivity,[status(thm)],[40,37]) ).
tff(42,plain,
divide(c3,divide(divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) = divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(monotonicity,[status(thm)],[41]) ).
tff(43,plain,
divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),
inference(monotonicity,[status(thm)],[42]) ).
tff(44,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(monotonicity,[status(thm)],[43]) ).
tff(45,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(c3,c3),divide(c3,divide(divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(46,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),
inference(unit_resolution,[status(thm)],[45,33]) ).
tff(47,plain,
divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(symmetry,[status(thm)],[46]) ).
tff(48,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(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(49,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),
inference(unit_resolution,[status(thm)],[48,33]) ).
tff(50,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(51,plain,
multiply(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(unit_resolution,[status(thm)],[50,7]) ).
tff(52,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(c3,divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(53,plain,
multiply(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(c3,divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(unit_resolution,[status(thm)],[52,7]) ).
tff(54,plain,
divide(c3,divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) = multiply(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))),
inference(symmetry,[status(thm)],[53]) ).
tff(55,plain,
divide(c3,divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) = divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(transitivity,[status(thm)],[54,51]) ).
tff(56,plain,
divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),
inference(monotonicity,[status(thm)],[55]) ).
tff(57,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(monotonicity,[status(thm)],[56]) ).
tff(58,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(symmetry,[status(thm)],[57]) ).
tff(59,plain,
divide(a3,a3) = divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(symmetry,[status(thm)],[35]) ).
tff(60,plain,
divide(a3,a3) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),
inference(transitivity,[status(thm)],[59,58,49]) ).
tff(61,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),
inference(monotonicity,[status(thm)],[60,60]) ).
tff(62,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(a3,a3),
inference(transitivity,[status(thm)],[61,47,44,35]) ).
tff(63,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[62]) ).
tff(64,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)) = divide(a3,a3),
inference(transitivity,[status(thm)],[63,61,47,44,35]) ).
tff(65,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3) = divide(divide(a3,a3),c3),
inference(monotonicity,[status(thm)],[64]) ).
tff(66,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3) = divide(divide(b3,b3),c3),
inference(transitivity,[status(thm)],[65,26,23]) ).
tff(67,plain,
divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)) = divide(b3,divide(divide(b3,b3),c3)),
inference(monotonicity,[status(thm)],[66]) ).
tff(68,plain,
divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))) = divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))),
inference(monotonicity,[status(thm)],[67]) ).
tff(69,plain,
divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))) = divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))),
inference(symmetry,[status(thm)],[68]) ).
tff(70,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3))) = divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))),
inference(monotonicity,[status(thm)],[64]) ).
tff(71,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3))) = divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))),
inference(transitivity,[status(thm)],[70,69]) ).
tff(72,plain,
divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))) = divide(divide(a3,a3),divide(a3,a3)),
inference(symmetry,[status(thm)],[61]) ).
tff(73,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(symmetry,[status(thm)],[44]) ).
tff(74,plain,
divide(a3,a3) = divide(divide(a3,a3),divide(a3,a3)),
inference(transitivity,[status(thm)],[59,73,46,72]) ).
tff(75,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),
inference(monotonicity,[status(thm)],[74,71]) ).
tff(76,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))),
inference(symmetry,[status(thm)],[75]) ).
tff(77,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),
inference(monotonicity,[status(thm)],[74,69]) ).
tff(78,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))),
inference(transitivity,[status(thm)],[77,76]) ).
tff(79,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3))))),
inference(monotonicity,[status(thm)],[78]) ).
tff(80,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))),
inference(symmetry,[status(thm)],[79]) ).
tff(81,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3))))),
inference(monotonicity,[status(thm)],[64,78]) ).
tff(82,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))),
inference(transitivity,[status(thm)],[81,80]) ).
tff(83,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),
inference(monotonicity,[status(thm)],[82]) ).
tff(84,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),
inference(monotonicity,[status(thm)],[83]) ).
tff(85,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))),divide(b3,divide(divide(b3,b3),c3))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(86,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))),divide(b3,divide(divide(b3,b3),c3))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),
inference(unit_resolution,[status(thm)],[85,33]) ).
tff(87,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(88,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[87,33]) ).
tff(89,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),
inference(symmetry,[status(thm)],[83]) ).
tff(90,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),
inference(monotonicity,[status(thm)],[63,69]) ).
tff(91,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))),
inference(transitivity,[status(thm)],[90,76]) ).
tff(92,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3))))),
inference(monotonicity,[status(thm)],[91]) ).
tff(93,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))),
inference(transitivity,[status(thm)],[92,80]) ).
tff(94,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),
inference(monotonicity,[status(thm)],[93]) ).
tff(95,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),
inference(transitivity,[status(thm)],[94,89]) ).
tff(96,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),
inference(monotonicity,[status(thm)],[62,95]) ).
tff(97,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),
inference(symmetry,[status(thm)],[96]) ).
tff(98,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),
inference(monotonicity,[status(thm)],[97,70]) ).
tff(99,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))) = divide(a3,a3),
inference(transitivity,[status(thm)],[98,88]) ).
tff(100,plain,
divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[99]) ).
tff(101,plain,
divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[100,61,47,44,35]) ).
tff(102,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[62,101]) ).
tff(103,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))),
inference(symmetry,[status(thm)],[102]) ).
tff(104,plain,
divide(a3,a3) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))),
inference(transitivity,[status(thm)],[59,73,46,72,103]) ).
tff(105,plain,
divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))),divide(b3,divide(divide(b3,b3),c3))),
inference(monotonicity,[status(thm)],[104]) ).
tff(106,plain,
divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),
inference(transitivity,[status(thm)],[105,86,84]) ).
tff(107,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[64]) ).
tff(108,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)) = divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(transitivity,[status(thm)],[107,61,47,44]) ).
tff(109,plain,
divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))) = divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))),
inference(monotonicity,[status(thm)],[108]) ).
tff(110,plain,
divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))) = divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(monotonicity,[status(thm)],[109]) ).
tff(111,plain,
divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) = divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))),
inference(symmetry,[status(thm)],[110]) ).
tff(112,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(transitivity,[status(thm)],[61,47,44]) ).
tff(113,plain,
divide(a3,divide(divide(a3,a3),divide(a3,a3))) = divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))),
inference(monotonicity,[status(thm)],[112]) ).
tff(114,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3)))) = divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(monotonicity,[status(thm)],[64,113]) ).
tff(115,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3)))) = divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))),
inference(transitivity,[status(thm)],[114,111]) ).
tff(116,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[74,115]) ).
tff(117,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3))))),
inference(symmetry,[status(thm)],[116]) ).
tff(118,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),
inference(monotonicity,[status(thm)],[110]) ).
tff(119,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(symmetry,[status(thm)],[118]) ).
tff(120,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3))))),
inference(transitivity,[status(thm)],[119,117]) ).
tff(121,plain,
divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3)))))),
inference(monotonicity,[status(thm)],[120]) ).
tff(122,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3)))))) = divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),
inference(symmetry,[status(thm)],[121]) ).
tff(123,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3)))))),
inference(monotonicity,[status(thm)],[64,120]) ).
tff(124,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))) = divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),
inference(transitivity,[status(thm)],[123,122]) ).
tff(125,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),
inference(monotonicity,[status(thm)],[124]) ).
tff(126,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))))),
inference(monotonicity,[status(thm)],[125]) ).
tff(127,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),
inference(symmetry,[status(thm)],[125]) ).
tff(128,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(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(129,plain,
divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),
inference(unit_resolution,[status(thm)],[128,33]) ).
tff(130,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(a3,a3),divide(divide(a3,a3),a3)) = divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(131,plain,
multiply(divide(a3,a3),divide(divide(a3,a3),a3)) = divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))),
inference(unit_resolution,[status(thm)],[130,7]) ).
tff(132,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(a3,a3),divide(divide(a3,a3),a3)) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(133,plain,
multiply(divide(a3,a3),divide(divide(a3,a3),a3)) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3))),
inference(unit_resolution,[status(thm)],[132,7]) ).
tff(134,plain,
divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3))) = multiply(divide(a3,a3),divide(divide(a3,a3),a3)),
inference(symmetry,[status(thm)],[133]) ).
tff(135,plain,
divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3))) = divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))),
inference(transitivity,[status(thm)],[134,131]) ).
tff(136,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(b3,b3),divide(divide(a3,a3),a3))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(137,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(b3,b3),divide(divide(a3,a3),a3))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[136,33]) ).
tff(138,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(b3,b3),divide(divide(a3,a3),a3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(139,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(b3,b3),divide(divide(a3,a3),a3)),
inference(unit_resolution,[status(thm)],[138,33]) ).
tff(140,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(141,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[140,33]) ).
tff(142,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3) = divide(divide(a3,a3),a3),
inference(monotonicity,[status(thm)],[64]) ).
tff(143,plain,
divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)) = divide(divide(b3,b3),divide(divide(a3,a3),a3)),
inference(monotonicity,[status(thm)],[142]) ).
tff(144,plain,
divide(divide(b3,b3),divide(divide(a3,a3),a3)) = divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)),
inference(symmetry,[status(thm)],[143]) ).
tff(145,plain,
divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3))) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))),
inference(monotonicity,[status(thm)],[144]) ).
tff(146,plain,
divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3))),
inference(symmetry,[status(thm)],[145]) ).
tff(147,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))),
inference(monotonicity,[status(thm)],[64,144]) ).
tff(148,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3))),
inference(transitivity,[status(thm)],[147,146]) ).
tff(149,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3)))),
inference(monotonicity,[status(thm)],[148]) ).
tff(150,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))),
inference(symmetry,[status(thm)],[149]) ).
tff(151,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3)))),
inference(monotonicity,[status(thm)],[62,146]) ).
tff(152,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))),
inference(transitivity,[status(thm)],[151,150]) ).
tff(153,plain,
divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))))),
inference(monotonicity,[status(thm)],[152]) ).
tff(154,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))))) = divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),
inference(symmetry,[status(thm)],[153]) ).
tff(155,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))))),
inference(monotonicity,[status(thm)],[64,152]) ).
tff(156,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))) = divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),
inference(transitivity,[status(thm)],[155,154]) ).
tff(157,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))),
inference(monotonicity,[status(thm)],[156]) ).
tff(158,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))),
inference(symmetry,[status(thm)],[157]) ).
tff(159,plain,
divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))) = multiply(divide(a3,a3),divide(divide(a3,a3),a3)),
inference(symmetry,[status(thm)],[131]) ).
tff(160,plain,
divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3))),
inference(transitivity,[status(thm)],[159,133]) ).
tff(161,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3)))),
inference(monotonicity,[status(thm)],[64,160]) ).
tff(162,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))),
inference(transitivity,[status(thm)],[161,150]) ).
tff(163,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))))),
inference(monotonicity,[status(thm)],[162]) ).
tff(164,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))) = divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),
inference(transitivity,[status(thm)],[163,154]) ).
tff(165,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))),
inference(monotonicity,[status(thm)],[164]) ).
tff(166,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))),
inference(transitivity,[status(thm)],[165,158]) ).
tff(167,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))))),
inference(monotonicity,[status(thm)],[62,166]) ).
tff(168,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))),
inference(symmetry,[status(thm)],[167]) ).
tff(169,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(a3,a3),a3)) = divide(divide(b3,b3),divide(divide(a3,a3),a3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(170,plain,
inverse(divide(divide(a3,a3),a3)) = divide(divide(b3,b3),divide(divide(a3,a3),a3)),
inference(unit_resolution,[status(thm)],[169,21]) ).
tff(171,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(a3,a3),a3)) = divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(172,plain,
inverse(divide(divide(a3,a3),a3)) = divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)),
inference(unit_resolution,[status(thm)],[171,21]) ).
tff(173,plain,
divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)) = inverse(divide(divide(a3,a3),a3)),
inference(symmetry,[status(thm)],[172]) ).
tff(174,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = a3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(175,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = a3,
inference(unit_resolution,[status(thm)],[174,33]) ).
tff(176,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)) = divide(a3,a3),
inference(transitivity,[status(thm)],[107,61,47,44,35]) ).
tff(177,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(monotonicity,[status(thm)],[176]) ).
tff(178,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))) = a3,
inference(transitivity,[status(thm)],[177,175]) ).
tff(179,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))) = divide(divide(a3,a3),a3),
inference(monotonicity,[status(thm)],[178]) ).
tff(180,plain,
divide(divide(a3,a3),a3) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))),
inference(symmetry,[status(thm)],[179]) ).
tff(181,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))))),divide(b3,divide(divide(a3,a3),divide(a3,a3)))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(182,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))))),divide(b3,divide(divide(a3,a3),divide(a3,a3)))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[181,33]) ).
tff(183,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),
inference(transitivity,[status(thm)],[61,47,44,58,49]) ).
tff(184,plain,
divide(b3,divide(divide(a3,a3),divide(a3,a3))) = divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),
inference(monotonicity,[status(thm)],[183]) ).
tff(185,plain,
divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))) = divide(b3,divide(divide(a3,a3),divide(a3,a3))),
inference(symmetry,[status(thm)],[184]) ).
tff(186,plain,
divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(symmetry,[status(thm)],[49]) ).
tff(187,plain,
divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))) = divide(a3,a3),
inference(transitivity,[status(thm)],[186,57,35]) ).
tff(188,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(189,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(unit_resolution,[status(thm)],[188,33]) ).
tff(190,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(b3,divide(divide(a3,a3),divide(a3,a3)))) = divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(191,plain,
inverse(divide(b3,divide(divide(a3,a3),divide(a3,a3)))) = divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3)))),
inference(unit_resolution,[status(thm)],[190,21]) ).
tff(192,plain,
inverse(divide(b3,divide(divide(a3,a3),divide(a3,a3)))) = inverse(divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),
inference(monotonicity,[status(thm)],[184]) ).
tff(193,plain,
inverse(divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))) = inverse(divide(b3,divide(divide(a3,a3),divide(a3,a3)))),
inference(symmetry,[status(thm)],[192]) ).
tff(194,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))) = divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(195,plain,
inverse(divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))) = divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),
inference(unit_resolution,[status(thm)],[194,21]) ).
tff(196,plain,
divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))) = inverse(divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),
inference(symmetry,[status(thm)],[195]) ).
tff(197,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(198,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),
inference(unit_resolution,[status(thm)],[197,33]) ).
tff(199,plain,
divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)) = divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),
inference(monotonicity,[status(thm)],[66]) ).
tff(200,plain,
divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)) = divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)),
inference(symmetry,[status(thm)],[199]) ).
tff(201,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(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)) = divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(202,plain,
divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)) = divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),
inference(unit_resolution,[status(thm)],[201,33]) ).
tff(203,plain,
divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)) = divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)),
inference(monotonicity,[status(thm)],[66]) ).
tff(204,plain,
divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)) = divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)),
inference(transitivity,[status(thm)],[203,202,200]) ).
tff(205,plain,
divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))) = divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))),
inference(monotonicity,[status(thm)],[204]) ).
tff(206,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),
inference(monotonicity,[status(thm)],[205]) ).
tff(207,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3),
inference(monotonicity,[status(thm)],[206]) ).
tff(208,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3),
inference(symmetry,[status(thm)],[207]) ).
tff(209,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = divide(divide(b3,b3),b3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(210,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = divide(divide(b3,b3),b3),
inference(unit_resolution,[status(thm)],[209,33]) ).
tff(211,plain,
divide(divide(b3,b3),b3) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3),
inference(symmetry,[status(thm)],[210]) ).
tff(212,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(b3) = divide(divide(b3,b3),b3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(213,plain,
inverse(b3) = divide(divide(b3,b3),b3),
inference(unit_resolution,[status(thm)],[212,21]) ).
tff(214,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(b3) = divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(215,plain,
inverse(b3) = divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3),
inference(unit_resolution,[status(thm)],[214,21]) ).
tff(216,plain,
divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3) = inverse(b3),
inference(symmetry,[status(thm)],[215]) ).
tff(217,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = b3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(218,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = b3,
inference(unit_resolution,[status(thm)],[217,33]) ).
tff(219,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(monotonicity,[status(thm)],[176]) ).
tff(220,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))) = b3,
inference(transitivity,[status(thm)],[219,218]) ).
tff(221,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(c3,c3),divide(c3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(222,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),
inference(unit_resolution,[status(thm)],[221,33]) ).
tff(223,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(c3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(224,plain,
multiply(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(c3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(unit_resolution,[status(thm)],[223,7]) ).
tff(225,plain,
divide(c3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) = multiply(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))),
inference(symmetry,[status(thm)],[224]) ).
tff(226,plain,
divide(c3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) = divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(transitivity,[status(thm)],[225,51]) ).
tff(227,plain,
divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),
inference(monotonicity,[status(thm)],[226]) ).
tff(228,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(monotonicity,[status(thm)],[227]) ).
tff(229,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(symmetry,[status(thm)],[228]) ).
tff(230,plain,
divide(a3,a3) = divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),
inference(transitivity,[status(thm)],[59,229,222]) ).
tff(231,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))) = divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3),
inference(monotonicity,[status(thm)],[230,220]) ).
tff(232,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))) = divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3)))),
inference(transitivity,[status(thm)],[231,216,213,211,208,198,196,193,191]) ).
tff(233,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[62,232]) ).
tff(234,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(symmetry,[status(thm)],[233]) ).
tff(235,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),
inference(transitivity,[status(thm)],[107,61,47,44,58,49]) ).
tff(236,plain,
divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))) = divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),
inference(monotonicity,[status(thm)],[235]) ).
tff(237,plain,
divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))) = divide(b3,divide(divide(a3,a3),divide(a3,a3))),
inference(transitivity,[status(thm)],[236,185]) ).
tff(238,plain,
divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))) = divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3)))),
inference(monotonicity,[status(thm)],[237]) ).
tff(239,plain,
divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3)))) = divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))),
inference(symmetry,[status(thm)],[238]) ).
tff(240,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[74,239]) ).
tff(241,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(symmetry,[status(thm)],[240]) ).
tff(242,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(transitivity,[status(thm)],[241,234]) ).
tff(243,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(monotonicity,[status(thm)],[242]) ).
tff(244,plain,
b3 = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(symmetry,[status(thm)],[218]) ).
tff(245,plain,
b3 = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(transitivity,[status(thm)],[244,243,189]) ).
tff(246,plain,
divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(monotonicity,[status(thm)],[245,187]) ).
tff(247,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),
inference(symmetry,[status(thm)],[246]) ).
tff(248,plain,
b3 = divide(b3,divide(divide(a3,a3),divide(a3,a3))),
inference(transitivity,[status(thm)],[244,247,185]) ).
tff(249,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(symmetry,[status(thm)],[243]) ).
tff(250,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(symmetry,[status(thm)],[189]) ).
tff(251,plain,
divide(b3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))) = divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))),
inference(symmetry,[status(thm)],[236]) ).
tff(252,plain,
divide(b3,divide(divide(a3,a3),divide(a3,a3))) = divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))),
inference(transitivity,[status(thm)],[184,251]) ).
tff(253,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))) = divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))),
inference(monotonicity,[status(thm)],[64,252]) ).
tff(254,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))) = divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3)))),
inference(transitivity,[status(thm)],[253,238]) ).
tff(255,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[254]) ).
tff(256,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))) = b3,
inference(transitivity,[status(thm)],[255,240,250,249,218]) ).
tff(257,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))))) = divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3),
inference(monotonicity,[status(thm)],[230,256]) ).
tff(258,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))))) = divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3)))),
inference(transitivity,[status(thm)],[257,216,213,211,208,198,196,193,191]) ).
tff(259,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[62,258]) ).
tff(260,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))))),
inference(symmetry,[status(thm)],[259]) ).
tff(261,plain,
b3 = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))))),
inference(transitivity,[status(thm)],[244,243,189,241,260]) ).
tff(262,plain,
divide(b3,b3) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))))),divide(b3,divide(divide(a3,a3),divide(a3,a3)))),
inference(monotonicity,[status(thm)],[261,248]) ).
tff(263,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),a3) = divide(b3,b3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(264,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),a3) = divide(b3,b3),
inference(unit_resolution,[status(thm)],[263,33]) ).
tff(265,plain,
divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)) = divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)),
inference(monotonicity,[status(thm)],[142]) ).
tff(266,plain,
divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)) = divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)),
inference(transitivity,[status(thm)],[265,173,170,144]) ).
tff(267,plain,
divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))),
inference(monotonicity,[status(thm)],[266]) ).
tff(268,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),
inference(monotonicity,[status(thm)],[267]) ).
tff(269,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),a3) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),a3),
inference(monotonicity,[status(thm)],[268]) ).
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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),a3) = divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(271,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),a3) = divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),
inference(unit_resolution,[status(thm)],[270,33]) ).
tff(272,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),a3),
inference(symmetry,[status(thm)],[271]) ).
tff(273,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(transitivity,[status(thm)],[272,269,264,262,182,59,73,46,72]) ).
tff(274,plain,
divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[273,180]) ).
tff(275,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)),
inference(symmetry,[status(thm)],[274]) ).
tff(276,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[63,180]) ).
tff(277,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3)) = divide(divide(b3,b3),divide(divide(a3,a3),a3)),
inference(transitivity,[status(thm)],[276,275,173,170]) ).
tff(278,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),
inference(monotonicity,[status(thm)],[277]) ).
tff(279,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))) = divide(a3,a3),
inference(transitivity,[status(thm)],[278,137]) ).
tff(280,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3)))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[279]) ).
tff(281,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3)))) = divide(a3,a3),
inference(transitivity,[status(thm)],[280,61,47,44,35]) ).
tff(282,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[62,281]) ).
tff(283,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[282,180]) ).
tff(284,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(285,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),
inference(unit_resolution,[status(thm)],[284,33]) ).
tff(286,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)),
inference(symmetry,[status(thm)],[285]) ).
tff(287,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),
inference(monotonicity,[status(thm)],[74,153]) ).
tff(288,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))) = divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)),
inference(transitivity,[status(thm)],[157,287,286,283,275,173,170,144]) ).
tff(289,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))))) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))),
inference(monotonicity,[status(thm)],[288]) ).
tff(290,plain,
divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))))),
inference(symmetry,[status(thm)],[289]) ).
tff(291,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)),
inference(symmetry,[status(thm)],[283]) ).
tff(292,plain,
divide(divide(b3,b3),divide(divide(a3,a3),a3)) = inverse(divide(divide(a3,a3),a3)),
inference(symmetry,[status(thm)],[170]) ).
tff(293,plain,
divide(divide(b3,b3),divide(divide(a3,a3),a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),
inference(transitivity,[status(thm)],[292,172,274,291,285]) ).
tff(294,plain,
divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),
inference(monotonicity,[status(thm)],[293]) ).
tff(295,plain,
divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))) = divide(a3,a3),
inference(transitivity,[status(thm)],[294,137]) ).
tff(296,plain,
divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))),
inference(monotonicity,[status(thm)],[295,144]) ).
tff(297,plain,
divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))),
inference(transitivity,[status(thm)],[296,290,168]) ).
tff(298,plain,
divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))),
inference(monotonicity,[status(thm)],[297]) ).
tff(299,plain,
divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))) = divide(a3,a3),
inference(transitivity,[status(thm)],[298,141]) ).
tff(300,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(301,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(unit_resolution,[status(thm)],[300,33]) ).
tff(302,plain,
divide(divide(b3,b3),divide(divide(a3,a3),a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(transitivity,[status(thm)],[292,172,274]) ).
tff(303,plain,
divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(monotonicity,[status(thm)],[302,176]) ).
tff(304,plain,
divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3))))),
inference(transitivity,[status(thm)],[303,301,117]) ).
tff(305,plain,
divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3)))))),
inference(monotonicity,[status(thm)],[304]) ).
tff(306,plain,
divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))) = divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),
inference(transitivity,[status(thm)],[305,122]) ).
tff(307,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),
inference(monotonicity,[status(thm)],[62,306]) ).
tff(308,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(symmetry,[status(thm)],[307]) ).
tff(309,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(monotonicity,[status(thm)],[308,299]) ).
tff(310,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))) = divide(divide(b3,b3),divide(divide(a3,a3),a3)),
inference(transitivity,[status(thm)],[309,139]) ).
tff(311,plain,
divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),
inference(monotonicity,[status(thm)],[293,310]) ).
tff(312,plain,
divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[311,137]) ).
tff(313,plain,
divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[295,312]) ).
tff(314,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))),
inference(symmetry,[status(thm)],[313]) ).
tff(315,plain,
divide(a3,a3) = divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))),
inference(transitivity,[status(thm)],[59,73,46,72,314]) ).
tff(316,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3)))) = divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),divide(divide(divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(b3,b3),divide(divide(a3,a3),a3))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3))))))),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(a3,a3),a3)))),
inference(monotonicity,[status(thm)],[315,135]) ).
tff(317,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))),
inference(transitivity,[status(thm)],[149,316,129,127]) ).
tff(318,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))))),
inference(monotonicity,[status(thm)],[317]) ).
tff(319,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),a3) = divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(320,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),a3) = divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),
inference(unit_resolution,[status(thm)],[319,33]) ).
tff(321,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(322,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[321,33]) ).
tff(323,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3)) = divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)),
inference(transitivity,[status(thm)],[276,275,173,170,144]) ).
tff(324,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))),
inference(monotonicity,[status(thm)],[323]) ).
tff(325,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3))),
inference(transitivity,[status(thm)],[324,146]) ).
tff(326,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3)))),
inference(monotonicity,[status(thm)],[325]) ).
tff(327,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3)))),
inference(transitivity,[status(thm)],[326,150]) ).
tff(328,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))))),
inference(monotonicity,[status(thm)],[62,327]) ).
tff(329,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),
inference(symmetry,[status(thm)],[328]) ).
tff(330,plain,
divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),
inference(transitivity,[status(thm)],[153,329]) ).
tff(331,plain,
divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)),
inference(monotonicity,[status(thm)],[330,142]) ).
tff(332,plain,
divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)) = divide(a3,a3),
inference(transitivity,[status(thm)],[331,322]) ).
tff(333,plain,
divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[332]) ).
tff(334,plain,
divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))) = divide(a3,a3),
inference(transitivity,[status(thm)],[333,61,47,44,35]) ).
tff(335,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[62,334]) ).
tff(336,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),
inference(symmetry,[status(thm)],[335]) ).
tff(337,plain,
divide(a3,a3) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),
inference(transitivity,[status(thm)],[59,73,46,72,336]) ).
tff(338,plain,
divide(divide(a3,a3),a3) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),a3),
inference(monotonicity,[status(thm)],[337]) ).
tff(339,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(340,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[339,33]) ).
tff(341,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))))) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3))),
inference(transitivity,[status(thm)],[289,146]) ).
tff(342,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3)))),
inference(monotonicity,[status(thm)],[62,341]) ).
tff(343,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(a3,a3),a3)))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))))),
inference(symmetry,[status(thm)],[342]) ).
tff(344,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))))),
inference(transitivity,[status(thm)],[151,343]) ).
tff(345,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),
inference(monotonicity,[status(thm)],[344]) ).
tff(346,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[345,340]) ).
tff(347,plain,
divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),divide(divide(a3,a3),a3))))),
inference(monotonicity,[status(thm)],[346,152]) ).
tff(348,plain,
divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),
inference(transitivity,[status(thm)],[347,329]) ).
tff(349,plain,
divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3)) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)),
inference(monotonicity,[status(thm)],[348]) ).
tff(350,plain,
divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3)) = divide(a3,a3),
inference(transitivity,[status(thm)],[349,322]) ).
tff(351,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(monotonicity,[status(thm)],[119,350]) ).
tff(352,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3))) = a3,
inference(transitivity,[status(thm)],[351,175]) ).
tff(353,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3)))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),a3),
inference(monotonicity,[status(thm)],[352]) ).
tff(354,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3)))) = divide(a3,a3),
inference(transitivity,[status(thm)],[353,264,262,182]) ).
tff(355,plain,
divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[346,354]) ).
tff(356,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3))))),
inference(symmetry,[status(thm)],[355]) ).
tff(357,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)),
inference(monotonicity,[status(thm)],[356,179]) ).
tff(358,plain,
divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(symmetry,[status(thm)],[357]) ).
tff(359,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(360,plain,
divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),
inference(unit_resolution,[status(thm)],[359,33]) ).
tff(361,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),a3))))),divide(divide(a3,a3),a3))))),divide(divide(a3,a3),a3)),
inference(symmetry,[status(thm)],[360]) ).
tff(362,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(transitivity,[status(thm)],[118,361,358]) ).
tff(363,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(monotonicity,[status(thm)],[362]) ).
tff(364,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(symmetry,[status(thm)],[363]) ).
tff(365,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(symmetry,[status(thm)],[301]) ).
tff(366,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3))))) = a3,
inference(transitivity,[status(thm)],[116,365,364,175]) ).
tff(367,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3)))))) = divide(divide(a3,a3),a3),
inference(monotonicity,[status(thm)],[366]) ).
tff(368,plain,
a3 = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(symmetry,[status(thm)],[175]) ).
tff(369,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))),divide(b3,divide(divide(b3,b3),c3))) = a3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(370,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))),divide(b3,divide(divide(b3,b3),c3))) = a3,
inference(unit_resolution,[status(thm)],[369,33]) ).
tff(371,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(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(372,plain,
divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[371,33]) ).
tff(373,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = c3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(374,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = c3,
inference(unit_resolution,[status(thm)],[373,33]) ).
tff(375,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(a3,a3),divide(a3,divide(divide(a3,a3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(376,plain,
divide(divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[375,33]) ).
tff(377,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(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = c3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(378,plain,
divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = c3,
inference(unit_resolution,[status(thm)],[377,33]) ).
tff(379,plain,
divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) = divide(c3,c3),
inference(monotonicity,[status(thm)],[378]) ).
tff(380,plain,
divide(c3,c3) = divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(symmetry,[status(thm)],[379]) ).
tff(381,plain,
divide(divide(c3,c3),divide(c3,c3)) = divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),
inference(monotonicity,[status(thm)],[380]) ).
tff(382,plain,
divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(monotonicity,[status(thm)],[381]) ).
tff(383,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(384,plain,
inverse(divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(unit_resolution,[status(thm)],[383,21]) ).
tff(385,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(a3,a3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(386,plain,
inverse(divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(a3,a3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(unit_resolution,[status(thm)],[385,21]) ).
tff(387,plain,
divide(divide(a3,a3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = inverse(divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(symmetry,[status(thm)],[386]) ).
tff(388,plain,
divide(divide(a3,a3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(transitivity,[status(thm)],[387,384,382]) ).
tff(389,plain,
divide(a3,divide(divide(a3,a3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))),
inference(monotonicity,[status(thm)],[388]) ).
tff(390,plain,
divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) = divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(monotonicity,[status(thm)],[389]) ).
tff(391,plain,
divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) = divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(symmetry,[status(thm)],[390]) ).
tff(392,plain,
divide(divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)) = divide(divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)),
inference(monotonicity,[status(thm)],[391]) ).
tff(393,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(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)) = divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(394,plain,
divide(divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)) = divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),
inference(unit_resolution,[status(thm)],[393,33]) ).
tff(395,plain,
divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)),
inference(symmetry,[status(thm)],[394]) ).
tff(396,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(c3,c3)) = divide(divide(c3,c3),divide(c3,c3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(397,plain,
inverse(divide(c3,c3)) = divide(divide(c3,c3),divide(c3,c3)),
inference(unit_resolution,[status(thm)],[396,21]) ).
tff(398,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(c3,c3)) = divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(399,plain,
inverse(divide(c3,c3)) = divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),
inference(unit_resolution,[status(thm)],[398,21]) ).
tff(400,plain,
divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)) = inverse(divide(c3,c3)),
inference(symmetry,[status(thm)],[399]) ).
tff(401,plain,
divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(c3,c3),divide(c3,c3)),
inference(symmetry,[status(thm)],[381]) ).
tff(402,plain,
divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3)))) = divide(c3,c3),
inference(monotonicity,[status(thm)],[374]) ).
tff(403,plain,
divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3)))) = divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(transitivity,[status(thm)],[402,380]) ).
tff(404,plain,
divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(c3,c3),divide(c3,divide(c3,divide(divide(divide(c3,c3),c3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),
inference(monotonicity,[status(thm)],[403]) ).
tff(405,plain,
divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))))) = divide(divide(c3,c3),divide(c3,c3)),
inference(transitivity,[status(thm)],[404,401]) ).
tff(406,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))))),divide(c3,c3)) = divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),
inference(monotonicity,[status(thm)],[405]) ).
tff(407,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(c3,c3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))))),divide(c3,c3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(408,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))))),divide(c3,c3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),
inference(unit_resolution,[status(thm)],[407,33]) ).
tff(409,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))))),divide(c3,c3)),
inference(symmetry,[status(thm)],[408]) ).
tff(410,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[409,406,400,397,381,395,392,376]) ).
tff(411,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(monotonicity,[status(thm)],[410]) ).
tff(412,plain,
divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(c3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(symmetry,[status(thm)],[411]) ).
tff(413,plain,
divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)) = divide(a3,a3),
inference(transitivity,[status(thm)],[400,397,381,395,392,376]) ).
tff(414,plain,
divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(monotonicity,[status(thm)],[413]) ).
tff(415,plain,
divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = c3,
inference(transitivity,[status(thm)],[414,412,374]) ).
tff(416,plain,
divide(divide(c3,c3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))) = divide(divide(c3,c3),c3),
inference(monotonicity,[status(thm)],[415]) ).
tff(417,plain,
divide(divide(c3,c3),c3) = divide(divide(c3,c3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))),
inference(symmetry,[status(thm)],[416]) ).
tff(418,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(c3) = divide(divide(c3,c3),c3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(419,plain,
inverse(c3) = divide(divide(c3,c3),c3),
inference(unit_resolution,[status(thm)],[418,21]) ).
tff(420,plain,
divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))) = divide(divide(a3,a3),c3),
inference(monotonicity,[status(thm)],[415]) ).
tff(421,plain,
divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))) = divide(divide(c3,c3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))),
inference(transitivity,[status(thm)],[420,26,419,417]) ).
tff(422,plain,
divide(divide(c3,c3),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3))))) = divide(divide(c3,c3),divide(divide(c3,c3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3))))),
inference(monotonicity,[status(thm)],[421]) ).
tff(423,plain,
divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))) = divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(c3,c3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),
inference(monotonicity,[status(thm)],[422]) ).
tff(424,plain,
divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(c3,c3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))) = divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),
inference(symmetry,[status(thm)],[423]) ).
tff(425,plain,
divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(c3,c3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(monotonicity,[status(thm)],[424]) ).
tff(426,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(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(c3,c3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(c3,c3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(427,plain,
divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(c3,c3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(c3,c3),
inference(unit_resolution,[status(thm)],[426,33]) ).
tff(428,plain,
divide(c3,c3) = divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(c3,c3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(symmetry,[status(thm)],[427]) ).
tff(429,plain,
divide(c3,c3) = divide(a3,a3),
inference(transitivity,[status(thm)],[428,425,372]) ).
tff(430,plain,
divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(c3,c3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(symmetry,[status(thm)],[425]) ).
tff(431,plain,
divide(a3,a3) = divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(a3,a3),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(symmetry,[status(thm)],[372]) ).
tff(432,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)) = divide(c3,c3),
inference(transitivity,[status(thm)],[107,61,47,44,35,431,430,427]) ).
tff(433,plain,
divide(divide(b3,b3),c3) = inverse(c3),
inference(symmetry,[status(thm)],[23]) ).
tff(434,plain,
divide(divide(b3,b3),c3) = divide(divide(c3,c3),c3),
inference(transitivity,[status(thm)],[433,419]) ).
tff(435,plain,
divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))) = divide(divide(divide(c3,c3),c3),divide(c3,c3)),
inference(monotonicity,[status(thm)],[434,432]) ).
tff(436,plain,
divide(divide(a3,a3),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))) = divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(monotonicity,[status(thm)],[435]) ).
tff(437,plain,
divide(divide(a3,a3),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))) = c3,
inference(transitivity,[status(thm)],[436,412,374]) ).
tff(438,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(a3,a3),c3),
inference(monotonicity,[status(thm)],[62,437]) ).
tff(439,plain,
divide(divide(a3,a3),c3) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(symmetry,[status(thm)],[438]) ).
tff(440,plain,
divide(divide(c3,c3),c3) = inverse(c3),
inference(symmetry,[status(thm)],[419]) ).
tff(441,plain,
divide(divide(c3,c3),c3) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(transitivity,[status(thm)],[440,25,439]) ).
tff(442,plain,
divide(divide(divide(c3,c3),c3),divide(c3,c3)) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(monotonicity,[status(thm)],[441,429]) ).
tff(443,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(divide(c3,c3),c3),divide(c3,c3)),
inference(symmetry,[status(thm)],[442]) ).
tff(444,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(b3,b3),c3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(445,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(b3,b3),c3),
inference(unit_resolution,[status(thm)],[444,33]) ).
tff(446,plain,
divide(divide(b3,b3),c3) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(symmetry,[status(thm)],[445]) ).
tff(447,plain,
divide(divide(b3,b3),c3) = divide(divide(divide(c3,c3),c3),divide(c3,c3)),
inference(transitivity,[status(thm)],[446,443]) ).
tff(448,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(symmetry,[status(thm)],[255]) ).
tff(449,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = b3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(450,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = b3,
inference(unit_resolution,[status(thm)],[449,33]) ).
tff(451,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3),
inference(monotonicity,[status(thm)],[77,415]) ).
tff(452,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(transitivity,[status(thm)],[451,450,244,243,189,241,448]) ).
tff(453,plain,
divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))))),
inference(monotonicity,[status(thm)],[429,452]) ).
tff(454,plain,
divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3))))) = divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3)))),
inference(transitivity,[status(thm)],[453,257,216,213,211,208,198,196,193,191]) ).
tff(455,plain,
divide(divide(c3,c3),divide(c3,c3)) = divide(a3,a3),
inference(transitivity,[status(thm)],[381,395,392,376]) ).
tff(456,plain,
divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[455,454]) ).
tff(457,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))) = divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),
inference(symmetry,[status(thm)],[456]) ).
tff(458,plain,
b3 = divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),
inference(transitivity,[status(thm)],[244,243,189,241,457]) ).
tff(459,plain,
divide(b3,divide(divide(b3,b3),c3)) = divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(monotonicity,[status(thm)],[458,447]) ).
tff(460,plain,
divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(b3,divide(divide(b3,b3),c3)),
inference(symmetry,[status(thm)],[459]) ).
tff(461,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(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(462,plain,
divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),
inference(unit_resolution,[status(thm)],[461,33]) ).
tff(463,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(symmetry,[status(thm)],[462]) ).
tff(464,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),
inference(symmetry,[status(thm)],[77]) ).
tff(465,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(466,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[465,33]) ).
tff(467,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),
inference(transitivity,[status(thm)],[90,464]) ).
tff(468,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))),
inference(monotonicity,[status(thm)],[467]) ).
tff(469,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[468,466]) ).
tff(470,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[469]) ).
tff(471,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[470,61,47,44,35]) ).
tff(472,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[62,471]) ).
tff(473,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),
inference(symmetry,[status(thm)],[472]) ).
tff(474,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),
inference(monotonicity,[status(thm)],[473,68]) ).
tff(475,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),
inference(symmetry,[status(thm)],[474]) ).
tff(476,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(477,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),
inference(unit_resolution,[status(thm)],[476,33]) ).
tff(478,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),
inference(symmetry,[status(thm)],[477]) ).
tff(479,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),
inference(symmetry,[status(thm)],[84]) ).
tff(480,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),
inference(monotonicity,[status(thm)],[74,479]) ).
tff(481,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),
inference(monotonicity,[status(thm)],[64]) ).
tff(482,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))) = divide(b3,divide(divide(b3,b3),c3)),
inference(transitivity,[status(thm)],[481,480,478,475,464,463,460]) ).
tff(483,plain,
divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))) = divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),
inference(monotonicity,[status(thm)],[70]) ).
tff(484,plain,
divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))),
inference(symmetry,[status(thm)],[483]) ).
tff(485,plain,
divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))) = divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3))))),
inference(monotonicity,[status(thm)],[484]) ).
tff(486,plain,
divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3))))) = divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))),
inference(symmetry,[status(thm)],[485]) ).
tff(487,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),
inference(monotonicity,[status(thm)],[62,486]) ).
tff(488,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))),
inference(symmetry,[status(thm)],[487]) ).
tff(489,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(490,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[489,33]) ).
tff(491,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),
inference(monotonicity,[status(thm)],[64]) ).
tff(492,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))),
inference(monotonicity,[status(thm)],[491]) ).
tff(493,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[492,490]) ).
tff(494,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[493]) ).
tff(495,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[494,61,47,44,35]) ).
tff(496,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[62,495]) ).
tff(497,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[496,61,47,44,35]) ).
tff(498,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),
inference(monotonicity,[status(thm)],[497]) ).
tff(499,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(500,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),
inference(unit_resolution,[status(thm)],[499,33]) ).
tff(501,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),
inference(symmetry,[status(thm)],[500]) ).
tff(502,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))),
inference(transitivity,[status(thm)],[501,498,488]) ).
tff(503,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))),divide(b3,divide(divide(b3,b3),c3))),
inference(monotonicity,[status(thm)],[502,482]) ).
tff(504,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3))))),
inference(transitivity,[status(thm)],[503,370,368,363,301,117]) ).
tff(505,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,divide(divide(a3,a3),divide(a3,a3)))))),
inference(monotonicity,[status(thm)],[504]) ).
tff(506,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))))),
inference(transitivity,[status(thm)],[505,367,338,320,153,318,126]) ).
tff(507,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),
inference(monotonicity,[status(thm)],[62,506]) ).
tff(508,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))))),
inference(symmetry,[status(thm)],[507]) ).
tff(509,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))))),
inference(symmetry,[status(thm)],[126]) ).
tff(510,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),
inference(monotonicity,[status(thm)],[74,509]) ).
tff(511,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),
inference(symmetry,[status(thm)],[510]) ).
tff(512,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))))),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(513,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))))),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),
inference(unit_resolution,[status(thm)],[512,33]) ).
tff(514,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(515,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[514,33]) ).
tff(516,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[63,111]) ).
tff(517,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),
inference(transitivity,[status(thm)],[516,118]) ).
tff(518,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))),
inference(monotonicity,[status(thm)],[517]) ).
tff(519,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[518,515]) ).
tff(520,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[519]) ).
tff(521,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[520,61,47,44,35]) ).
tff(522,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[62,521]) ).
tff(523,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))))),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[522,111]) ).
tff(524,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))))))),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),
inference(symmetry,[status(thm)],[523]) ).
tff(525,plain,
a3 = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))))),
inference(transitivity,[status(thm)],[368,363,301,524,513,511,508]) ).
tff(526,plain,
divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),
inference(monotonicity,[status(thm)],[525,106]) ).
tff(527,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))) = divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))),
inference(symmetry,[status(thm)],[526]) ).
tff(528,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(529,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),
inference(unit_resolution,[status(thm)],[528,33]) ).
tff(530,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))),
inference(symmetry,[status(thm)],[529]) ).
tff(531,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3))))))))),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),
inference(symmetry,[status(thm)],[498]) ).
tff(532,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(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)) = divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(533,plain,
divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)) = divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),
inference(unit_resolution,[status(thm)],[532,33]) ).
tff(534,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(a3,b3) = divide(a3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(535,plain,
multiply(a3,b3) = divide(a3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3)),
inference(unit_resolution,[status(thm)],[534,7]) ).
tff(536,plain,
divide(a3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3)) = multiply(a3,b3),
inference(symmetry,[status(thm)],[535]) ).
tff(537,plain,
divide(divide(b3,b3),b3) = inverse(b3),
inference(symmetry,[status(thm)],[213]) ).
tff(538,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(c3,c3),divide(c3,divide(divide(divide(b3,b3),b3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(b3,b3),b3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(539,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(b3,b3),b3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(b3,b3),b3),
inference(unit_resolution,[status(thm)],[538,33]) ).
tff(540,plain,
divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(b3,b3),b3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3),
inference(transitivity,[status(thm)],[539,537,215]) ).
tff(541,plain,
divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(b3,b3),b3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(a3,divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3)),
inference(monotonicity,[status(thm)],[540]) ).
tff(542,plain,
divide(divide(b3,b3),b3) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(b3,b3),b3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(symmetry,[status(thm)],[539]) ).
tff(543,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)) = divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),
inference(transitivity,[status(thm)],[63,61,47,44,229,222]) ).
tff(544,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3) = divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3),
inference(monotonicity,[status(thm)],[543]) ).
tff(545,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(b3,b3),b3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),
inference(transitivity,[status(thm)],[544,216,213,542]) ).
tff(546,plain,
divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)) = divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(b3,b3),b3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))),
inference(monotonicity,[status(thm)],[545]) ).
tff(547,plain,
divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)) = multiply(a3,b3),
inference(transitivity,[status(thm)],[546,541,536]) ).
tff(548,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(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = a3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(549,plain,
divide(divide(divide(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))) = a3,
inference(unit_resolution,[status(thm)],[548,33]) ).
tff(550,plain,
divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))) = divide(a3,a3),
inference(monotonicity,[status(thm)],[549]) ).
tff(551,plain,
divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[550]) ).
tff(552,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(symmetry,[status(thm)],[551]) ).
tff(553,plain,
divide(a3,a3) = divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(transitivity,[status(thm)],[59,73,46,72,552]) ).
tff(554,plain,
divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3))) = divide(divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)),
inference(monotonicity,[status(thm)],[553,547]) ).
tff(555,plain,
divide(divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)) = divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3))),
inference(symmetry,[status(thm)],[554]) ).
tff(556,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = multiply(a3,b3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(557,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = multiply(a3,b3),
inference(unit_resolution,[status(thm)],[556,33]) ).
tff(558,plain,
divide(multiply(a3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)) = divide(multiply(a3,b3),divide(divide(b3,b3),c3)),
inference(monotonicity,[status(thm)],[66]) ).
tff(559,plain,
divide(multiply(a3,b3),divide(divide(b3,b3),c3)) = divide(multiply(a3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)),
inference(symmetry,[status(thm)],[558]) ).
tff(560,plain,
divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3))) = divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))),
inference(monotonicity,[status(thm)],[559]) ).
tff(561,plain,
divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))) = divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3))),
inference(symmetry,[status(thm)],[560]) ).
tff(562,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),
inference(monotonicity,[status(thm)],[62,561]) ).
tff(563,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),
inference(symmetry,[status(thm)],[562]) ).
tff(564,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3),
inference(monotonicity,[status(thm)],[563,415]) ).
tff(565,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))) = multiply(a3,b3),
inference(transitivity,[status(thm)],[564,557]) ).
tff(566,plain,
divide(c3,c3) = divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),
inference(transitivity,[status(thm)],[428,425,372,59,73,46,72,552]) ).
tff(567,plain,
divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3))))) = divide(divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)),
inference(monotonicity,[status(thm)],[566,565]) ).
tff(568,plain,
divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3))))) = divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3))),
inference(transitivity,[status(thm)],[567,555]) ).
tff(569,plain,
divide(divide(c3,c3),divide(c3,c3)) = divide(divide(a3,a3),divide(a3,a3)),
inference(transitivity,[status(thm)],[381,395,392,376,59,73,46,72]) ).
tff(570,plain,
divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),
inference(monotonicity,[status(thm)],[569,568]) ).
tff(571,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))) = divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),
inference(symmetry,[status(thm)],[570]) ).
tff(572,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3)) = divide(divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)),
inference(monotonicity,[status(thm)],[552]) ).
tff(573,plain,
divide(divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(a3,divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3))))),multiply(a3,b3)) = divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3)),
inference(symmetry,[status(thm)],[572]) ).
tff(574,plain,
divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3))) = divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3)),
inference(transitivity,[status(thm)],[554,573]) ).
tff(575,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))) = divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))),
inference(monotonicity,[status(thm)],[62,574]) ).
tff(576,plain,
divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),
inference(symmetry,[status(thm)],[575]) ).
tff(577,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(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),c3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))) = divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(578,plain,
divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),c3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))) = divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))),
inference(unit_resolution,[status(thm)],[577,33]) ).
tff(579,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(580,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(unit_resolution,[status(thm)],[579,33]) ).
tff(581,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(582,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[581,33]) ).
tff(583,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(transitivity,[status(thm)],[241,448]) ).
tff(584,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = b3,
inference(transitivity,[status(thm)],[250,249,218]) ).
tff(585,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))) = divide(b3,b3),
inference(monotonicity,[status(thm)],[584,584]) ).
tff(586,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[585,262,182]) ).
tff(587,plain,
divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))))),
inference(monotonicity,[status(thm)],[586,583]) ).
tff(588,plain,
divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))) = divide(divide(b3,b3),b3),
inference(transitivity,[status(thm)],[587,257,216,213]) ).
tff(589,plain,
divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3)) = divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),
inference(monotonicity,[status(thm)],[588]) ).
tff(590,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),
inference(monotonicity,[status(thm)],[589]) ).
tff(591,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3))) = divide(a3,a3),
inference(transitivity,[status(thm)],[590,582]) ).
tff(592,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3)))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(monotonicity,[status(thm)],[591]) ).
tff(593,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(transitivity,[status(thm)],[592,243,189,241,448]) ).
tff(594,plain,
divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))))),
inference(monotonicity,[status(thm)],[586,593]) ).
tff(595,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))))) = divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3))))),
inference(symmetry,[status(thm)],[594]) ).
tff(596,plain,
divide(divide(divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),divide(b3,divide(divide(multiply(a3,b3),divide(divide(divide(a3,a3),a3),multiply(a3,b3))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),b3) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))))),
inference(symmetry,[status(thm)],[257]) ).
tff(597,plain,
divide(divide(b3,b3),b3) = divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3))))),
inference(transitivity,[status(thm)],[537,215,596,595]) ).
tff(598,plain,
divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)) = divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)),
inference(monotonicity,[status(thm)],[597]) ).
tff(599,plain,
divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)) = divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),
inference(symmetry,[status(thm)],[598]) ).
tff(600,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(601,plain,
divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),
inference(unit_resolution,[status(thm)],[600,33]) ).
tff(602,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))) = divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)),
inference(symmetry,[status(thm)],[601]) ).
tff(603,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))) = divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)),
inference(transitivity,[status(thm)],[602,599]) ).
tff(604,plain,
divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))) = divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))),
inference(monotonicity,[status(thm)],[200]) ).
tff(605,plain,
divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))) = divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),
inference(symmetry,[status(thm)],[604]) ).
tff(606,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))) = divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))),
inference(monotonicity,[status(thm)],[64,200]) ).
tff(607,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))) = divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),
inference(transitivity,[status(thm)],[606,605]) ).
tff(608,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))) = divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))),
inference(monotonicity,[status(thm)],[584,607]) ).
tff(609,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))))),divide(b3,divide(divide(a3,a3),divide(a3,a3)))) = divide(b3,b3),
inference(symmetry,[status(thm)],[262]) ).
tff(610,plain,
divide(a3,a3) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))))),divide(b3,divide(divide(a3,a3),divide(a3,a3)))),
inference(symmetry,[status(thm)],[182]) ).
tff(611,plain,
divide(a3,a3) = divide(b3,b3),
inference(transitivity,[status(thm)],[610,609]) ).
tff(612,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))) = divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),
inference(monotonicity,[status(thm)],[611,608]) ).
tff(613,plain,
divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),
inference(symmetry,[status(thm)],[612]) ).
tff(614,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(615,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),
inference(unit_resolution,[status(thm)],[614,33]) ).
tff(616,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(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(617,plain,
divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[616,33]) ).
tff(618,plain,
divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)) = divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)),
inference(monotonicity,[status(thm)],[66]) ).
tff(619,plain,
divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)) = divide(a3,a3),
inference(transitivity,[status(thm)],[618,617]) ).
tff(620,plain,
divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[619]) ).
tff(621,plain,
divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3))) = divide(a3,a3),
inference(transitivity,[status(thm)],[620,61,47,44,35]) ).
tff(622,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))) = divide(divide(a3,a3),divide(a3,a3)),
inference(monotonicity,[status(thm)],[62,621]) ).
tff(623,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))) = divide(a3,a3),
inference(transitivity,[status(thm)],[622,61,47,44,35]) ).
tff(624,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3) = divide(divide(a3,a3),c3),
inference(monotonicity,[status(thm)],[623]) ).
tff(625,plain,
divide(divide(a3,a3),c3) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(b3,b3),divide(b3,divide(divide(a3,a3),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),c3)))),c3),
inference(symmetry,[status(thm)],[624]) ).
tff(626,plain,
divide(divide(b3,b3),c3) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))),
inference(transitivity,[status(thm)],[433,25,625,615,613]) ).
tff(627,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,b3),c3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),
inference(monotonicity,[status(thm)],[626]) ).
tff(628,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(b3,b3),c3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,b3),c3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(629,plain,
inverse(divide(divide(b3,b3),c3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,b3),c3)),
inference(unit_resolution,[status(thm)],[628,21]) ).
tff(630,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(b3,b3),c3)) = divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(631,plain,
inverse(divide(divide(b3,b3),c3)) = divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),
inference(unit_resolution,[status(thm)],[630,21]) ).
tff(632,plain,
divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)) = inverse(divide(divide(b3,b3),c3)),
inference(symmetry,[status(thm)],[631]) ).
tff(633,plain,
divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),
inference(transitivity,[status(thm)],[632,629,627]) ).
tff(634,plain,
divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))),
inference(monotonicity,[status(thm)],[633,603]) ).
tff(635,plain,
divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))) = b3,
inference(transitivity,[status(thm)],[634,580,250,249,218]) ).
tff(636,plain,
divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),b3),
inference(monotonicity,[status(thm)],[576,635]) ).
tff(637,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),b3) = divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))),
inference(symmetry,[status(thm)],[636]) ).
tff(638,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),b3) = a3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(639,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),b3) = a3,
inference(unit_resolution,[status(thm)],[638,33]) ).
tff(640,plain,
a3 = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),b3),
inference(symmetry,[status(thm)],[639]) ).
tff(641,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(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(642,plain,
divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),
inference(unit_resolution,[status(thm)],[641,33]) ).
tff(643,plain,
divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(transitivity,[status(thm)],[634,580]) ).
tff(644,plain,
divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))) = divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),
inference(monotonicity,[status(thm)],[643]) ).
tff(645,plain,
divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))) = divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))),
inference(transitivity,[status(thm)],[644,642,119,365,364,175,640,637]) ).
tff(646,plain,
divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))))) = divide(divide(divide(b3,b3),c3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))))),
inference(monotonicity,[status(thm)],[645]) ).
tff(647,plain,
divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))))) = divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),c3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))))),
inference(monotonicity,[status(thm)],[646]) ).
tff(648,plain,
divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))) = divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),c3),divide(divide(divide(a3,a3),divide(divide(divide(a3,a3),divide(a3,a3)),multiply(a3,b3))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))),
inference(monotonicity,[status(thm)],[647]) ).
tff(649,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(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(650,plain,
divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),
inference(unit_resolution,[status(thm)],[649,33]) ).
tff(651,plain,
divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))) = divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(divide(b3,b3),c3),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),divide(divide(divide(divide(divide(b3,b3),c3),divide(divide(b3,b3),c3)),divide(divide(b3,b3),c3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3)))))))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),c3))))))),
inference(symmetry,[status(thm)],[650]) ).
tff(652,plain,
divide(divide(b3,b3),b3) = divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3)))),
inference(transitivity,[status(thm)],[211,208,198,196,193,191]) ).
tff(653,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))),divide(divide(b3,b3),b3)) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(654,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))),divide(divide(b3,b3),b3)) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[653,33]) ).
tff(655,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3)) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[64,652]) ).
tff(656,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3)) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(transitivity,[status(thm)],[655,448]) ).
tff(657,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))))),
inference(monotonicity,[status(thm)],[656]) ).
tff(658,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))) = divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3)))),
inference(transitivity,[status(thm)],[657,257,216,213,211,208,198,196,193,191]) ).
tff(659,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[658]) ).
tff(660,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(transitivity,[status(thm)],[659,448]) ).
tff(661,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))))),
inference(monotonicity,[status(thm)],[62,660]) ).
tff(662,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(a3,a3),divide(a3,a3)))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))),
inference(symmetry,[status(thm)],[661]) ).
tff(663,plain,
divide(divide(b3,b3),b3) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))),
inference(transitivity,[status(thm)],[537,215,596,662]) ).
tff(664,plain,
divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))),divide(divide(b3,b3),b3)),
inference(monotonicity,[status(thm)],[663]) ).
tff(665,plain,
divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)) = divide(a3,a3),
inference(transitivity,[status(thm)],[664,654]) ).
tff(666,plain,
divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)) = divide(divide(a3,a3),divide(divide(a3,a3),divide(b3,divide(divide(a3,a3),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[665,652]) ).
tff(667,plain,
divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)) = b3,
inference(transitivity,[status(thm)],[666,240,250,249,218]) ).
tff(668,plain,
divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))) = divide(b3,b3),
inference(monotonicity,[status(thm)],[667,584]) ).
tff(669,plain,
divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))) = divide(a3,a3),
inference(transitivity,[status(thm)],[668,262,182]) ).
tff(670,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)),
inference(monotonicity,[status(thm)],[119,669]) ).
tff(671,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(a3,a3)) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))),
inference(symmetry,[status(thm)],[670]) ).
tff(672,plain,
divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(b3,b3),c3)) = divide(b3,divide(divide(b3,b3),c3)),
inference(monotonicity,[status(thm)],[667]) ).
tff(673,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(b3,b3),c3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(b3,divide(divide(b3,b3),c3)))))),divide(b3,divide(divide(b3,b3),c3))),
inference(monotonicity,[status(thm)],[488,672]) ).
tff(674,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(b3,b3),c3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))),
inference(transitivity,[status(thm)],[673,370,368,671]) ).
tff(675,plain,
divide(divide(divide(b3,b3),b3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(b3,b3),c3)))) = divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))))),
inference(monotonicity,[status(thm)],[674]) ).
tff(676,plain,
divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(b3,b3),c3))))) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(c3,c3),divide(c3,divide(divide(a3,a3),divide(divide(divide(c3,c3),c3),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(a3,a3),a3),multiply(a3,b3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))))),
inference(monotonicity,[status(thm)],[675]) ).
tff(677,plain,
divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(b3,b3),c3))))) = divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),
inference(transitivity,[status(thm)],[676,651,648,578,576,571]) ).
tff(678,plain,
divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)) = divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(monotonicity,[status(thm)],[677,447]) ).
tff(679,plain,
divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))) = divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(b3,b3),b3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(a3,divide(divide(a3,a3),divide(b3,divide(divide(b3,b3),c3)))))),divide(divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),divide(divide(b3,b3),c3))))),divide(divide(b3,b3),c3)),
inference(symmetry,[status(thm)],[678]) ).
tff(680,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(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))),divide(divide(b3,b3),b3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(681,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))),divide(divide(b3,b3),b3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),
inference(unit_resolution,[status(thm)],[680,33]) ).
tff(682,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3)) = b3,
inference(transitivity,[status(thm)],[655,240,250,249,218]) ).
tff(683,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),b3),
inference(monotonicity,[status(thm)],[682]) ).
tff(684,plain,
divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))) = a3,
inference(transitivity,[status(thm)],[683,639]) ).
tff(685,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3)))) = divide(divide(a3,a3),a3),
inference(monotonicity,[status(thm)],[684]) ).
tff(686,plain,
divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3)))) = divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))),
inference(transitivity,[status(thm)],[685,180]) ).
tff(687,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),
inference(monotonicity,[status(thm)],[686]) ).
tff(688,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))),
inference(symmetry,[status(thm)],[687]) ).
tff(689,plain,
divide(divide(b3,b3),divide(divide(a3,a3),a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))),
inference(transitivity,[status(thm)],[292,172,274,688]) ).
tff(690,plain,
divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))) = divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(a3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),b3)))),divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(divide(b3,b3),b3))))),divide(divide(b3,b3),b3)),
inference(monotonicity,[status(thm)],[689,588]) ).
tff(691,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))) = divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(692,plain,
multiply(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))) = divide(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3))))))),
inference(unit_resolution,[status(thm)],[691,7]) ).
tff(693,plain,
a3 = divide(divide(b3,b3),divide(divide(a3,a3),a3)),
inference(transitivity,[status(thm)],[368,363,301,118,361,358,275,173,170]) ).
tff(694,plain,
multiply(a3,b3) = multiply(divide(divide(b3,b3),divide(divide(a3,a3),a3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(a3,a3),divide(b3,divide(divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),divide(a3,a3)))))),
inference(monotonicity,[status(thm)],[693,245]) ).
tff(695,plain,
multiply(a3,b3) = divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),
inference(transitivity,[status(thm)],[694,692,690,681,571]) ).
tff(696,plain,
divide(multiply(a3,b3),divide(divide(b3,b3),c3)) = divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(divide(c3,c3),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(multiply(a3,b3),divide(divide(b3,b3),c3)))),divide(divide(divide(divide(c3,c3),divide(c3,c3)),divide(c3,c3)),divide(divide(divide(c3,c3),c3),divide(c3,c3)))))),divide(divide(divide(c3,c3),c3),divide(c3,c3))),
inference(monotonicity,[status(thm)],[695,447]) ).
tff(697,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(multiply(a3,b3),c3) = divide(multiply(a3,b3),divide(divide(b3,b3),c3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(698,plain,
multiply(multiply(a3,b3),c3) = divide(multiply(a3,b3),divide(divide(b3,b3),c3)),
inference(unit_resolution,[status(thm)],[697,7]) ).
tff(699,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(transitivity,[status(thm)],[698,696,679,533,531,500,530,527,14,11]) ).
tff(700,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
<=> ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(701,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
tff(702,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(modus_ponens,[status(thm)],[701,700]) ).
tff(703,plain,
$false,
inference(unit_resolution,[status(thm)],[702,699]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP453-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 16:59:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 88.48/55.77 % SZS status Unsatisfiable
% 88.48/55.77 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------