TSTP Solution File: GRP660-13 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP660-13 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.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 22:29:17 EDT 2022
% Result : Unsatisfiable 0.21s 0.43s
% Output : Proof 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 102
% Syntax : Number of formulae : 450 ( 354 unt; 5 typ; 0 def)
% Number of atoms : 546 ( 540 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 180 ( 84 ~; 80 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of FOOLs : 5 ( 5 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 291 ( 280 !; 0 ?; 291 :)
% Comments :
%------------------------------------------------------------------------------
tff(x0_type,type,
x0: $i ).
tff(mult_type,type,
mult: ( $i * $i ) > $i ).
tff(ld_type,type,
ld: ( $i * $i ) > $i ).
tff(x1_type,type,
x1: $i ).
tff(rd_type,type,
rd: ( $i * $i ) > $i ).
tff(1,plain,
^ [B: $i,A: $i] :
refl(
( ( ld(A,mult(A,B)) = B )
<=> ( ld(A,mult(A,B)) = B ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
<=> ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
<=> ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
tff(5,plain,
! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),x1),x0)) = x0 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
ld(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),x1),x0)) = x0,
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
^ [B: $i,A: $i] :
refl(
( ( mult(rd(A,B),B) = A )
<=> ( mult(rd(A,B),B) = A ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [B: $i,A: $i] : ( mult(rd(A,B),B) = A )
<=> ! [B: $i,A: $i] : ( mult(rd(A,B),B) = A ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [B: $i,A: $i] : ( mult(rd(A,B),B) = A )
<=> ! [B: $i,A: $i] : ( mult(rd(A,B),B) = A ) ),
inference(rewrite,[status(thm)],]) ).
tff(13,axiom,
! [B: $i,A: $i] : ( mult(rd(A,B),B) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
tff(14,plain,
! [B: $i,A: $i] : ( mult(rd(A,B),B) = A ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
! [B: $i,A: $i] : ( mult(rd(A,B),B) = A ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [B: $i,A: $i] : ( mult(rd(A,B),B) = A ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
( ~ ! [B: $i,A: $i] : ( mult(rd(A,B),B) = A )
| ( mult(rd(mult(x0,ld(x1,x1)),x1),x1) = mult(x0,ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(18,plain,
mult(rd(mult(x0,ld(x1,x1)),x1),x1) = mult(x0,ld(x1,x1)),
inference(unit_resolution,[status(thm)],[17,16]) ).
tff(19,plain,
^ [B: $i,A: $i] :
refl(
( ( rd(mult(A,B),B) = A )
<=> ( rd(mult(A,B),B) = A ) )),
inference(bind,[status(th)],]) ).
tff(20,plain,
( ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
<=> ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A ) ),
inference(quant_intro,[status(thm)],[19]) ).
tff(21,plain,
( ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
<=> ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A ) ),
inference(rewrite,[status(thm)],]) ).
tff(22,axiom,
! [B: $i,A: $i] : ( rd(mult(A,B),B) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
tff(23,plain,
! [B: $i,A: $i] : ( rd(mult(A,B),B) = A ),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
! [B: $i,A: $i] : ( rd(mult(A,B),B) = A ),
inference(skolemize,[status(sab)],[23]) ).
tff(25,plain,
! [B: $i,A: $i] : ( rd(mult(A,B),B) = A ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(x1,ld(x1,x1)),ld(x1,x1)) = x1 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(27,plain,
rd(mult(x1,ld(x1,x1)),ld(x1,x1)) = x1,
inference(unit_resolution,[status(thm)],[26,25]) ).
tff(28,plain,
^ [B: $i,A: $i] :
refl(
( ( mult(A,ld(A,B)) = B )
<=> ( mult(A,ld(A,B)) = B ) )),
inference(bind,[status(th)],]) ).
tff(29,plain,
( ! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B )
<=> ! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,plain,
( ! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B )
<=> ! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B ) ),
inference(rewrite,[status(thm)],]) ).
tff(31,axiom,
! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
tff(32,plain,
! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B ),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B ),
inference(skolemize,[status(sab)],[32]) ).
tff(34,plain,
! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B ),
inference(modus_ponens,[status(thm)],[33,29]) ).
tff(35,plain,
( ~ ! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B )
| ( mult(x1,ld(x1,x1)) = x1 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(36,plain,
mult(x1,ld(x1,x1)) = x1,
inference(unit_resolution,[status(thm)],[35,34]) ).
tff(37,plain,
x1 = mult(x1,ld(x1,x1)),
inference(symmetry,[status(thm)],[36]) ).
tff(38,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(x1,mult(x1,x1)) = x1 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(39,plain,
ld(x1,mult(x1,x1)) = x1,
inference(unit_resolution,[status(thm)],[38,7]) ).
tff(40,plain,
mult(mult(x1,ld(x1,x1)),ld(x1,x1)) = mult(x1,ld(x1,x1)),
inference(monotonicity,[status(thm)],[36]) ).
tff(41,plain,
mult(x1,ld(x1,x1)) = mult(mult(x1,ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[40]) ).
tff(42,plain,
x1 = mult(mult(x1,ld(x1,x1)),ld(x1,x1)),
inference(transitivity,[status(thm)],[37,41]) ).
tff(43,plain,
mult(x1,x1) = mult(mult(mult(x1,ld(x1,x1)),ld(x1,x1)),x1),
inference(monotonicity,[status(thm)],[42]) ).
tff(44,plain,
mult(mult(mult(x1,ld(x1,x1)),ld(x1,x1)),x1) = mult(x1,x1),
inference(symmetry,[status(thm)],[43]) ).
tff(45,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
<=> ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) ) )),
inference(bind,[status(th)],]) ).
tff(46,plain,
( ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
<=> ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) ) ),
inference(quant_intro,[status(thm)],[45]) ).
tff(47,plain,
( ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
<=> ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(48,axiom,
! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
tff(49,plain,
! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) ),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) ),
inference(skolemize,[status(sab)],[49]) ).
tff(51,plain,
! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) ),
inference(modus_ponens,[status(thm)],[50,46]) ).
tff(52,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(x1,ld(x1,x1)),ld(x1,x1)),x1) = mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(53,plain,
mult(mult(mult(x1,ld(x1,x1)),ld(x1,x1)),x1) = mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1))),
inference(unit_resolution,[status(thm)],[52,51]) ).
tff(54,plain,
mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1))) = mult(mult(mult(x1,ld(x1,x1)),ld(x1,x1)),x1),
inference(symmetry,[status(thm)],[53]) ).
tff(55,plain,
mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1))) = mult(x1,x1),
inference(transitivity,[status(thm)],[54,44]) ).
tff(56,plain,
ld(x1,mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1)))) = ld(x1,mult(x1,x1)),
inference(monotonicity,[status(thm)],[55]) ).
tff(57,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(x1,mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1)))) = mult(ld(x1,x1),mult(ld(x1,x1),x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(58,plain,
ld(x1,mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1)))) = mult(ld(x1,x1),mult(ld(x1,x1),x1)),
inference(unit_resolution,[status(thm)],[57,7]) ).
tff(59,plain,
mult(ld(x1,x1),mult(ld(x1,x1),x1)) = ld(x1,mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1)))),
inference(symmetry,[status(thm)],[58]) ).
tff(60,plain,
mult(ld(x1,x1),mult(x1,ld(x1,x1))) = mult(ld(x1,x1),x1),
inference(monotonicity,[status(thm)],[36]) ).
tff(61,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(x1,ld(x1,x1)))) = mult(ld(x1,x1),mult(ld(x1,x1),x1)),
inference(monotonicity,[status(thm)],[60]) ).
tff(62,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(x1,ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(63,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(x1,ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[62,51]) ).
tff(64,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)) = mult(x1,ld(x1,x1)),
inference(transitivity,[status(thm)],[63,61,59,56,39,37]) ).
tff(65,plain,
rd(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)),ld(x1,x1)) = rd(mult(x1,ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[64]) ).
tff(66,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),ld(x1,x1)),x1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(67,plain,
rd(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),ld(x1,x1)),x1),
inference(unit_resolution,[status(thm)],[66,25]) ).
tff(68,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),x1) = rd(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[67]) ).
tff(69,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),x1) = x1,
inference(transitivity,[status(thm)],[68,65,27]) ).
tff(70,plain,
mult(rd(mult(x0,ld(x1,x1)),x1),mult(mult(ld(x1,x1),ld(x1,x1)),x1)) = mult(rd(mult(x0,ld(x1,x1)),x1),x1),
inference(monotonicity,[status(thm)],[69]) ).
tff(71,plain,
mult(rd(mult(x0,ld(x1,x1)),x1),mult(mult(ld(x1,x1),ld(x1,x1)),x1)) = mult(x0,ld(x1,x1)),
inference(transitivity,[status(thm)],[70,18]) ).
tff(72,plain,
mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(mult(ld(x1,x1),ld(x1,x1)),x1))) = mult(x1,mult(x0,ld(x1,x1))),
inference(monotonicity,[status(thm)],[71]) ).
tff(73,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),x1) = mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(mult(ld(x1,x1),ld(x1,x1)),x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(74,plain,
mult(mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),x1) = mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(mult(ld(x1,x1),ld(x1,x1)),x1))),
inference(unit_resolution,[status(thm)],[73,51]) ).
tff(75,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),rd(mult(x0,ld(x1,x1)),x1)) = mult(x1,rd(mult(x0,ld(x1,x1)),x1)),
inference(monotonicity,[status(thm)],[69]) ).
tff(76,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[75]) ).
tff(77,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(78,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[77,51]) ).
tff(79,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[78]) ).
tff(80,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1)))))) = mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(81,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1)))))) = mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[80,7]) ).
tff(82,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))) = mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(83,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))) = mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[82,7]) ).
tff(84,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(85,plain,
mult(mult(mult(ld(x1,x1),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[84,51]) ).
tff(86,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))) = ld(x1,x1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(87,plain,
ld(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))) = ld(x1,x1),
inference(unit_resolution,[status(thm)],[86,7]) ).
tff(88,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(89,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[88,7]) ).
tff(90,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(91,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[90,51]) ).
tff(92,plain,
ld(x1,mult(x1,x1)) = ld(x1,mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1)))),
inference(symmetry,[status(thm)],[56]) ).
tff(93,plain,
x1 = ld(x1,mult(x1,x1)),
inference(symmetry,[status(thm)],[39]) ).
tff(94,plain,
x1 = mult(ld(x1,x1),mult(ld(x1,x1),x1)),
inference(transitivity,[status(thm)],[93,92,58]) ).
tff(95,plain,
ld(ld(x1,x1),x1) = ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),x1))),
inference(monotonicity,[status(thm)],[94]) ).
tff(96,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),x1))) = ld(ld(x1,x1),x1),
inference(symmetry,[status(thm)],[95]) ).
tff(97,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),x1))) = mult(ld(x1,x1),x1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(98,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),x1))) = mult(ld(x1,x1),x1),
inference(unit_resolution,[status(thm)],[97,7]) ).
tff(99,plain,
mult(ld(x1,x1),x1) = ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),x1))),
inference(symmetry,[status(thm)],[98]) ).
tff(100,plain,
( ~ ! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B )
| ( mult(ld(x1,x1),ld(ld(x1,x1),x1)) = x1 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(101,plain,
mult(ld(x1,x1),ld(ld(x1,x1),x1)) = x1,
inference(unit_resolution,[status(thm)],[100,34]) ).
tff(102,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(103,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[102,51]) ).
tff(104,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[103]) ).
tff(105,plain,
mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),ld(x1,x1)) = mult(x1,ld(x1,x1)),
inference(monotonicity,[status(thm)],[101]) ).
tff(106,plain,
mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),ld(x1,x1)) = x1,
inference(transitivity,[status(thm)],[105,36]) ).
tff(107,plain,
mult(mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),ld(x1,x1)),ld(x1,x1)) = mult(x1,ld(x1,x1)),
inference(monotonicity,[status(thm)],[106]) ).
tff(108,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(109,plain,
mult(mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[108,51]) ).
tff(110,plain,
mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[109]) ).
tff(111,plain,
mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1)))) = x1,
inference(transitivity,[status(thm)],[110,107,36]) ).
tff(112,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),ld(x1,x1)),x1),
inference(monotonicity,[status(thm)],[111]) ).
tff(113,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),x1) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(symmetry,[status(thm)],[112]) ).
tff(114,plain,
rd(mult(x1,ld(x1,x1)),ld(x1,x1)) = rd(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[65]) ).
tff(115,plain,
x1 = rd(mult(x1,ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[27]) ).
tff(116,plain,
x1 = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[115,114,67,113,104]) ).
tff(117,plain,
mult(ld(x1,x1),x1) = mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[116]) ).
tff(118,plain,
mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),x1),
inference(symmetry,[status(thm)],[117]) ).
tff(119,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(120,plain,
mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[119,51]) ).
tff(121,plain,
mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)) = ld(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[120,118,99,96]) ).
tff(122,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1))) = mult(ld(x1,x1),ld(ld(x1,x1),x1)),
inference(monotonicity,[status(thm)],[121]) ).
tff(123,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1))) = x1,
inference(transitivity,[status(thm)],[122,101]) ).
tff(124,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)))) = mult(ld(x1,x1),x1),
inference(monotonicity,[status(thm)],[123]) ).
tff(125,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(126,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[125,51]) ).
tff(127,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)) = ld(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[126,124,99,96]) ).
tff(128,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[127]) ).
tff(129,plain,
mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[128]) ).
tff(130,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) = ld(ld(x1,x1),x1),
inference(monotonicity,[status(thm)],[111]) ).
tff(131,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(132,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[131,7]) ).
tff(133,plain,
mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(symmetry,[status(thm)],[132]) ).
tff(134,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[91]) ).
tff(135,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) = ld(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[134,128,133,130]) ).
tff(136,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),mult(ld(x1,x1),ld(x1,x1))) = mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[135]) ).
tff(137,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),mult(ld(x1,x1),ld(x1,x1))) = ld(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[136,133,130]) ).
tff(138,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[137]) ).
tff(139,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(140,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[139,51]) ).
tff(141,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[140]) ).
tff(142,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),x1)) = x1 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(143,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),x1)) = x1,
inference(unit_resolution,[status(thm)],[142,7]) ).
tff(144,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(x1,x1),x1) = x1 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(145,plain,
rd(mult(x1,x1),x1) = x1,
inference(unit_resolution,[status(thm)],[144,25]) ).
tff(146,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),x1)) = mult(mult(ld(x1,x1),ld(x1,x1)),x1),
inference(monotonicity,[status(thm)],[69]) ).
tff(147,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),x1)) = x1,
inference(transitivity,[status(thm)],[146,68,65,27]) ).
tff(148,plain,
mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),x1))) = mult(x1,x1),
inference(monotonicity,[status(thm)],[147]) ).
tff(149,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),x1) = mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(150,plain,
mult(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),x1) = mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),x1))),
inference(unit_resolution,[status(thm)],[149,51]) ).
tff(151,plain,
mult(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),x1) = mult(x1,x1),
inference(transitivity,[status(thm)],[150,148]) ).
tff(152,plain,
rd(mult(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),x1),x1) = rd(mult(x1,x1),x1),
inference(monotonicity,[status(thm)],[151]) ).
tff(153,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),x1),x1) = mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(154,plain,
rd(mult(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),x1),x1) = mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[153,25]) ).
tff(155,plain,
mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = rd(mult(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),x1),x1),
inference(symmetry,[status(thm)],[154]) ).
tff(156,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1))) = mult(x1,mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[69]) ).
tff(157,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[156]) ).
tff(158,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(159,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[158,51]) ).
tff(160,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[159]) ).
tff(161,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),ld(x1,x1)),x1),
inference(transitivity,[status(thm)],[160,157,155,152,145,115,114,67]) ).
tff(162,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))))) = ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),x1)),
inference(monotonicity,[status(thm)],[161]) ).
tff(163,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))))) = mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(164,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))))) = mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[163,7]) ).
tff(165,plain,
mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))) = ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))))),
inference(symmetry,[status(thm)],[164]) ).
tff(166,plain,
mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))) = x1,
inference(transitivity,[status(thm)],[165,162,143]) ).
tff(167,plain,
ld(x1,mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))) = ld(x1,x1),
inference(monotonicity,[status(thm)],[166]) ).
tff(168,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(x1,mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(169,plain,
ld(x1,mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[168,7]) ).
tff(170,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = ld(x1,mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(symmetry,[status(thm)],[169]) ).
tff(171,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = ld(x1,x1),
inference(transitivity,[status(thm)],[170,167]) ).
tff(172,plain,
mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[171]) ).
tff(173,plain,
mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)) = mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[172]) ).
tff(174,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(monotonicity,[status(thm)],[173]) ).
tff(175,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(transitivity,[status(thm)],[174,141,138,129,91]) ).
tff(176,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))),
inference(monotonicity,[status(thm)],[175]) ).
tff(177,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))) = ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(symmetry,[status(thm)],[176]) ).
tff(178,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),x1) = mult(ld(x1,x1),x1),
inference(monotonicity,[status(thm)],[171]) ).
tff(179,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),x1) = ld(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[178,99,96]) ).
tff(180,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),ld(x1,x1))) = mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[179]) ).
tff(181,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(182,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[181,51]) ).
tff(183,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[182]) ).
tff(184,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(transitivity,[status(thm)],[183,180,129,91]) ).
tff(185,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))))) = ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))),
inference(monotonicity,[status(thm)],[184]) ).
tff(186,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(187,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[186,7]) ).
tff(188,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))) = ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))))),
inference(symmetry,[status(thm)],[187]) ).
tff(189,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(x1,mult(ld(x1,x1),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(190,plain,
rd(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(x1,mult(ld(x1,x1),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[189,25]) ).
tff(191,plain,
mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[155,152,145,115,114,67,113,104]) ).
tff(192,plain,
rd(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[191]) ).
tff(193,plain,
rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = rd(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[192]) ).
tff(194,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(195,plain,
rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),
inference(unit_resolution,[status(thm)],[194,25]) ).
tff(196,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)) = rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[195]) ).
tff(197,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)) = mult(x1,mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[196,193,190]) ).
tff(198,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(199,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[198,7]) ).
tff(200,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),ld(x1,x1)),
inference(monotonicity,[status(thm)],[171]) ).
tff(201,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[200]) ).
tff(202,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(203,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[202,51]) ).
tff(204,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[203]) ).
tff(205,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[204,201]) ).
tff(206,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))) = ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[205]) ).
tff(207,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(208,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[207,7]) ).
tff(209,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))) = ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))),
inference(symmetry,[status(thm)],[208]) ).
tff(210,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),ld(x1,x1)),
inference(transitivity,[status(thm)],[209,206,199]) ).
tff(211,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[210,197]) ).
tff(212,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(213,plain,
rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),
inference(unit_resolution,[status(thm)],[212,25]) ).
tff(214,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(215,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[214,51]) ).
tff(216,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[215]) ).
tff(217,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))) = x1,
inference(transitivity,[status(thm)],[103,112,68,65,27]) ).
tff(218,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),
inference(monotonicity,[status(thm)],[217]) ).
tff(219,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1) = mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[218]) ).
tff(220,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(221,plain,
rd(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),
inference(unit_resolution,[status(thm)],[220,25]) ).
tff(222,plain,
mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[120]) ).
tff(223,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),x1),
inference(monotonicity,[status(thm)],[36]) ).
tff(224,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,ld(x1,x1))) = x1,
inference(transitivity,[status(thm)],[223,68,65,27]) ).
tff(225,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,ld(x1,x1)))) = mult(ld(x1,x1),x1),
inference(monotonicity,[status(thm)],[224]) ).
tff(226,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(227,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[226,51]) ).
tff(228,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)),
inference(transitivity,[status(thm)],[227,225,117,222]) ).
tff(229,plain,
rd(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)),ld(x1,x1)) = rd(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[228]) ).
tff(230,plain,
rd(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)) = rd(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[229]) ).
tff(231,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(232,plain,
rd(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[231,25]) ).
tff(233,plain,
mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)) = rd(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[232]) ).
tff(234,plain,
mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(transitivity,[status(thm)],[233,230,221,219]) ).
tff(235,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(monotonicity,[status(thm)],[234]) ).
tff(236,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),
inference(monotonicity,[status(thm)],[171]) ).
tff(237,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(238,plain,
rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),
inference(unit_resolution,[status(thm)],[237,25]) ).
tff(239,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(240,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[239,51]) ).
tff(241,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[240]) ).
tff(242,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(ld(x1,x1),ld(x1,x1)),x1),
inference(monotonicity,[status(thm)],[217]) ).
tff(243,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))) = x1,
inference(transitivity,[status(thm)],[242,68,65,27]) ).
tff(244,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),ld(x1,x1)),x1),
inference(monotonicity,[status(thm)],[243]) ).
tff(245,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),x1) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(symmetry,[status(thm)],[244]) ).
tff(246,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[103,112,245,241]) ).
tff(247,plain,
rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[246]) ).
tff(248,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),
inference(transitivity,[status(thm)],[196,247,238,236]) ).
tff(249,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[248,171]) ).
tff(250,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),
inference(monotonicity,[status(thm)],[249]) ).
tff(251,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(252,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[251,51]) ).
tff(253,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[252,250,235,216]) ).
tff(254,plain,
rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[253]) ).
tff(255,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(256,plain,
rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[255,25]) ).
tff(257,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))) = rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[256]) ).
tff(258,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[197]) ).
tff(259,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),
inference(symmetry,[status(thm)],[258]) ).
tff(260,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[259]) ).
tff(261,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(transitivity,[status(thm)],[260,257,254,213,211,188,185,177,89]) ).
tff(262,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))) = mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(263,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))) = mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[262,7]) ).
tff(264,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(transitivity,[status(thm)],[188,185,263]) ).
tff(265,plain,
ld(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1)))) = ld(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))),
inference(monotonicity,[status(thm)],[264,261]) ).
tff(266,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(267,plain,
ld(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[266,7]) ).
tff(268,plain,
mult(ld(x1,x1),ld(x1,x1)) = ld(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[267]) ).
tff(269,plain,
mult(ld(x1,x1),ld(x1,x1)) = ld(x1,x1),
inference(transitivity,[status(thm)],[268,265,87]) ).
tff(270,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,rd(mult(x0,ld(x1,x1)),x1))) = mult(ld(x1,x1),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),
inference(monotonicity,[status(thm)],[269]) ).
tff(271,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[270]) ).
tff(272,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(273,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[272,51]) ).
tff(274,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)),
inference(symmetry,[status(thm)],[273]) ).
tff(275,plain,
ld(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))) = ld(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[265]) ).
tff(276,plain,
ld(x1,x1) = ld(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))),
inference(symmetry,[status(thm)],[87]) ).
tff(277,plain,
ld(x1,x1) = mult(ld(x1,x1),ld(x1,x1)),
inference(transitivity,[status(thm)],[276,275,267]) ).
tff(278,plain,
mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),ld(x1,x1)) = mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[277]) ).
tff(279,plain,
mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),ld(x1,x1))) = mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[278]) ).
tff(280,plain,
mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),ld(x1,x1))),
inference(symmetry,[status(thm)],[279]) ).
tff(281,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[269,280]) ).
tff(282,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)),
inference(transitivity,[status(thm)],[281,274,271]) ).
tff(283,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[282]) ).
tff(284,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(285,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[284,51]) ).
tff(286,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),
inference(symmetry,[status(thm)],[285]) ).
tff(287,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(transitivity,[status(thm)],[286,283,85]) ).
tff(288,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(monotonicity,[status(thm)],[287]) ).
tff(289,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))),
inference(symmetry,[status(thm)],[288]) ).
tff(290,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(291,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[290,7]) ).
tff(292,plain,
mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(symmetry,[status(thm)],[291]) ).
tff(293,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))),
inference(transitivity,[status(thm)],[79,76,292,289,83]) ).
tff(294,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1)))))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[269,293]) ).
tff(295,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1)))))),
inference(symmetry,[status(thm)],[294]) ).
tff(296,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(297,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[296,7]) ).
tff(298,plain,
mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)) = ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(symmetry,[status(thm)],[297]) ).
tff(299,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[280]) ).
tff(300,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)),
inference(transitivity,[status(thm)],[299,274,271]) ).
tff(301,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[300]) ).
tff(302,plain,
mult(mult(mult(ld(x1,x1),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),
inference(symmetry,[status(thm)],[301]) ).
tff(303,plain,
mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),mult(x1,rd(mult(x0,ld(x1,x1)),x1))),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[85]) ).
tff(304,plain,
mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),
inference(transitivity,[status(thm)],[303,302]) ).
tff(305,plain,
mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[304]) ).
tff(306,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(symmetry,[status(thm)],[305]) ).
tff(307,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(308,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[307,51]) ).
tff(309,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[308]) ).
tff(310,plain,
mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[269]) ).
tff(311,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))),
inference(monotonicity,[status(thm)],[310]) ).
tff(312,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))) = mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[311]) ).
tff(313,plain,
mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(transitivity,[status(thm)],[292,289,83,312,309,306,298,295,81]) ).
tff(314,plain,
mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(rd(mult(x0,ld(x1,x1)),x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(monotonicity,[status(thm)],[277,313]) ).
tff(315,plain,
mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[314,79,76]) ).
tff(316,plain,
mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),x1) = mult(mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),x1),
inference(monotonicity,[status(thm)],[315]) ).
tff(317,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),x1),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),x1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(318,plain,
rd(mult(mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),x1),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),x1),
inference(unit_resolution,[status(thm)],[317,25]) ).
tff(319,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),x1),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(x1,ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(320,plain,
mult(mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),x1),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(x1,ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[319,51]) ).
tff(321,plain,
mult(ld(x1,x1),mult(mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(x1,ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),x1),ld(x1,x1)),
inference(symmetry,[status(thm)],[320]) ).
tff(322,plain,
mult(mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(x1,ld(x1,x1))) = mult(mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),x1),
inference(monotonicity,[status(thm)],[36]) ).
tff(323,plain,
mult(mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(x1,ld(x1,x1))) = mult(x1,mult(x0,ld(x1,x1))),
inference(transitivity,[status(thm)],[322,74,72]) ).
tff(324,plain,
mult(ld(x1,x1),mult(mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(x1,ld(x1,x1)))) = mult(ld(x1,x1),mult(x1,mult(x0,ld(x1,x1)))),
inference(monotonicity,[status(thm)],[323]) ).
tff(325,plain,
mult(ld(x1,x1),mult(x1,mult(x0,ld(x1,x1)))) = mult(ld(x1,x1),mult(mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(x1,ld(x1,x1)))),
inference(symmetry,[status(thm)],[324]) ).
tff(326,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),x1),x0),ld(x1,x1)) = mult(ld(x1,x1),mult(x1,mult(x0,ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(327,plain,
mult(mult(mult(ld(x1,x1),x1),x0),ld(x1,x1)) = mult(ld(x1,x1),mult(x1,mult(x0,ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[326,51]) ).
tff(328,plain,
mult(mult(mult(ld(x1,x1),x1),x0),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),x1),ld(x1,x1)),
inference(transitivity,[status(thm)],[327,325,321]) ).
tff(329,plain,
rd(mult(mult(mult(ld(x1,x1),x1),x0),ld(x1,x1)),ld(x1,x1)) = rd(mult(mult(mult(ld(x1,x1),mult(mult(x1,rd(mult(x0,ld(x1,x1)),x1)),mult(ld(x1,x1),ld(x1,x1)))),x1),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[328]) ).
tff(330,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(ld(x1,x1),x1),x0),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),x1),x0) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(331,plain,
rd(mult(mult(mult(ld(x1,x1),x1),x0),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),x1),x0),
inference(unit_resolution,[status(thm)],[330,25]) ).
tff(332,plain,
mult(mult(ld(x1,x1),x1),x0) = rd(mult(mult(mult(ld(x1,x1),x1),x0),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[331]) ).
tff(333,plain,
mult(mult(ld(x1,x1),x1),x0) = mult(x1,mult(x0,ld(x1,x1))),
inference(transitivity,[status(thm)],[332,329,318,316,74,72]) ).
tff(334,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) = x1 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(335,plain,
rd(mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) = x1,
inference(unit_resolution,[status(thm)],[334,25]) ).
tff(336,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(337,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[336,7]) ).
tff(338,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(339,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[338,51]) ).
tff(340,plain,
mult(x1,mult(ld(x1,x1),ld(x1,x1))) = rd(mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[190]) ).
tff(341,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)) = x1,
inference(transitivity,[status(thm)],[63,61,59,56,39]) ).
tff(342,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(x1,mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[341]) ).
tff(343,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(344,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[343,51]) ).
tff(345,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[344]) ).
tff(346,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),
inference(transitivity,[status(thm)],[345,342,340,192,247,238,236]) ).
tff(347,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[346]) ).
tff(348,plain,
mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),
inference(symmetry,[status(thm)],[347]) ).
tff(349,plain,
mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(x1,mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[101]) ).
tff(350,plain,
mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),
inference(transitivity,[status(thm)],[349,340,192,247,238,236]) ).
tff(351,plain,
mult(mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[350]) ).
tff(352,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(353,plain,
mult(mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[352,51]) ).
tff(354,plain,
mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),ld(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)),
inference(symmetry,[status(thm)],[353]) ).
tff(355,plain,
mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(transitivity,[status(thm)],[354,351,348,339]) ).
tff(356,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))),
inference(monotonicity,[status(thm)],[355]) ).
tff(357,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))),
inference(symmetry,[status(thm)],[356]) ).
tff(358,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))) = mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(359,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))) = mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[358,7]) ).
tff(360,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(361,plain,
mult(mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[360,51]) ).
tff(362,plain,
mult(ld(x1,x1),x1) = ld(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[99,96]) ).
tff(363,plain,
mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))) = mult(ld(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[362]) ).
tff(364,plain,
mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))) = mult(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[363,133,130,95,98]) ).
tff(365,plain,
mult(mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)) = mult(mult(ld(x1,x1),x1),ld(x1,x1)),
inference(monotonicity,[status(thm)],[364]) ).
tff(366,plain,
mult(mult(ld(x1,x1),x1),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)),
inference(symmetry,[status(thm)],[365]) ).
tff(367,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[134,128,133,130,95,98]) ).
tff(368,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)) = mult(mult(ld(x1,x1),x1),ld(x1,x1)),
inference(monotonicity,[status(thm)],[367]) ).
tff(369,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(370,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[369,51]) ).
tff(371,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),
inference(symmetry,[status(thm)],[370]) ).
tff(372,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))),
inference(transitivity,[status(thm)],[371,368,366,361]) ).
tff(373,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))),
inference(monotonicity,[status(thm)],[372]) ).
tff(374,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))),
inference(symmetry,[status(thm)],[373]) ).
tff(375,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(376,plain,
rd(mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[375,25]) ).
tff(377,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(378,plain,
mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[377,51]) ).
tff(379,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),
inference(symmetry,[status(thm)],[378]) ).
tff(380,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),
inference(monotonicity,[status(thm)],[121]) ).
tff(381,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)))) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),
inference(monotonicity,[status(thm)],[380]) ).
tff(382,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)))),
inference(symmetry,[status(thm)],[381]) ).
tff(383,plain,
mult(x1,mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1)),
inference(transitivity,[status(thm)],[340,192,195]) ).
tff(384,plain,
mult(ld(x1,x1),mult(x1,mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),
inference(monotonicity,[status(thm)],[383]) ).
tff(385,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),x1),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(x1,mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(386,plain,
mult(mult(mult(ld(x1,x1),x1),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[385,51]) ).
tff(387,plain,
mult(mult(mult(ld(x1,x1),x1),ld(x1,x1)),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),
inference(transitivity,[status(thm)],[386,384,382,379]) ).
tff(388,plain,
rd(mult(mult(mult(ld(x1,x1),x1),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)) = rd(mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[387]) ).
tff(389,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(ld(x1,x1),x1),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),x1),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(390,plain,
rd(mult(mult(mult(ld(x1,x1),x1),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),x1),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[389,25]) ).
tff(391,plain,
mult(mult(ld(x1,x1),x1),ld(x1,x1)) = rd(mult(mult(mult(ld(x1,x1),x1),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[390]) ).
tff(392,plain,
mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)),
inference(symmetry,[status(thm)],[361]) ).
tff(393,plain,
mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))) = mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),
inference(transitivity,[status(thm)],[392,365,391,388,376]) ).
tff(394,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(395,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[394,7]) ).
tff(396,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) )
| ( mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(397,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[396,51]) ).
tff(398,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)),
inference(symmetry,[status(thm)],[397]) ).
tff(399,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))) = mult(ld(x1,x1),ld(x1,x1)),
inference(transitivity,[status(thm)],[398,200]) ).
tff(400,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = ld(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[399]) ).
tff(401,plain,
ld(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))),
inference(symmetry,[status(thm)],[400]) ).
tff(402,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))) = ld(x1,x1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(403,plain,
ld(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))) = ld(x1,x1),
inference(unit_resolution,[status(thm)],[402,7]) ).
tff(404,plain,
ld(x1,x1) = ld(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[403]) ).
tff(405,plain,
ld(x1,x1) = mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),
inference(transitivity,[status(thm)],[404,401,395]) ).
tff(406,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = ld(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[405,393]) ).
tff(407,plain,
ld(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))),
inference(symmetry,[status(thm)],[406]) ).
tff(408,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)))) = mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(409,plain,
ld(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)))) = mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[408,7]) ).
tff(410,plain,
mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)) = ld(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)))),
inference(symmetry,[status(thm)],[409]) ).
tff(411,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),
inference(symmetry,[status(thm)],[339]) ).
tff(412,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))),
inference(transitivity,[status(thm)],[411,347,410,407,374,359]) ).
tff(413,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[412]) ).
tff(414,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))),
inference(symmetry,[status(thm)],[413]) ).
tff(415,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(416,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[415,7]) ).
tff(417,plain,
mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)) = ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(symmetry,[status(thm)],[416]) ).
tff(418,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),
inference(transitivity,[status(thm)],[211,259]) ).
tff(419,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[418]) ).
tff(420,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(421,plain,
rd(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[420,25]) ).
tff(422,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),
inference(symmetry,[status(thm)],[126]) ).
tff(423,plain,
mult(ld(x1,x1),x1) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)))),
inference(symmetry,[status(thm)],[124]) ).
tff(424,plain,
mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),
inference(transitivity,[status(thm)],[120,118,423,422]) ).
tff(425,plain,
rd(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)) = rd(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),ld(ld(x1,x1),x1))),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[424]) ).
tff(426,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(427,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[426,7]) ).
tff(428,plain,
mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))),
inference(symmetry,[status(thm)],[427]) ).
tff(429,plain,
mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) = mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),
inference(transitivity,[status(thm)],[428,406,409,233,425,421,235,216,419,257,254,213,211,188,185,177,89,417,414,357,337]) ).
tff(430,plain,
rd(mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) = rd(mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),
inference(monotonicity,[status(thm)],[429]) ).
tff(431,plain,
rd(mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) = rd(mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),
inference(symmetry,[status(thm)],[430]) ).
tff(432,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) = ld(ld(x1,x1),x1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(433,plain,
rd(mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) = ld(ld(x1,x1),x1),
inference(unit_resolution,[status(thm)],[432,25]) ).
tff(434,plain,
ld(ld(x1,x1),x1) = rd(mult(ld(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),
inference(symmetry,[status(thm)],[433]) ).
tff(435,plain,
mult(ld(x1,x1),x1) = x1,
inference(transitivity,[status(thm)],[99,96,434,431,335]) ).
tff(436,plain,
ld(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),x1),x0)) = ld(x1,mult(x1,mult(x0,ld(x1,x1)))),
inference(monotonicity,[status(thm)],[435,333]) ).
tff(437,plain,
ld(x1,mult(x1,mult(x0,ld(x1,x1)))) = ld(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),x1),x0)),
inference(symmetry,[status(thm)],[436]) ).
tff(438,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(x1,mult(x1,mult(x0,ld(x1,x1)))) = mult(x0,ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(439,plain,
ld(x1,mult(x1,mult(x0,ld(x1,x1)))) = mult(x0,ld(x1,x1)),
inference(unit_resolution,[status(thm)],[438,7]) ).
tff(440,plain,
mult(x0,ld(x1,x1)) = ld(x1,mult(x1,mult(x0,ld(x1,x1)))),
inference(symmetry,[status(thm)],[439]) ).
tff(441,plain,
mult(x0,ld(x1,x1)) = x0,
inference(transitivity,[status(thm)],[440,437,9]) ).
tff(442,plain,
( ( mult(x0,ld(x1,x1)) != x0 )
<=> ( mult(x0,ld(x1,x1)) != x0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(443,axiom,
mult(x0,ld(x1,x1)) != x0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(444,plain,
mult(x0,ld(x1,x1)) != x0,
inference(modus_ponens,[status(thm)],[443,442]) ).
tff(445,plain,
$false,
inference(unit_resolution,[status(thm)],[444,441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP660-13 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 31 19:38:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.21/0.43 % SZS status Unsatisfiable
% 0.21/0.43 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------