%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP660-13 : TPTP v9.0.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:08:24 AM UTC 2025
% Result : Unsatisfiable 0.49s 0.69s
% Output : Proof 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 102
% Syntax : Number of formulae : 482 ( 386 unt; 0 typ; 0 def)
% Number of atoms : 588 ( 582 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 190 ( 89 ~; 85 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of FOOLs : 5 ( 5 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 301 ( 290 !; 0 ?; 301 :)
% 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(rd(x1,x0),mult(rd(x1,x0),x0)) = x0 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
ld(rd(x1,x0),mult(rd(x1,x0),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(x1,x0),x0) = x1 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(18,plain,
mult(rd(x1,x0),x0) = x1,
inference(unit_resolution,[status(thm)],[17,16]) ).
tff(19,plain,
x1 = mult(rd(x1,x0),x0),
inference(symmetry,[status(thm)],[18]) ).
tff(20,plain,
^ [B: $i,A: $i] :
refl(( ( rd(mult(A,B),B) = A )
<=> ( rd(mult(A,B),B) = A ) )),
inference(bind,[status(th)],[]) ).
tff(21,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)],[20]) ).
tff(22,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(23,axiom,
! [B: $i,A: $i] : ( rd(mult(A,B),B) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
tff(24,plain,
! [B: $i,A: $i] : ( rd(mult(A,B),B) = A ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [B: $i,A: $i] : ( rd(mult(A,B),B) = A ),
inference(skolemize,[status(sab)],[24]) ).
tff(26,plain,
! [B: $i,A: $i] : ( rd(mult(A,B),B) = A ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,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(28,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)],[27,26]) ).
tff(29,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = mult(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(30,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))) = mult(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[29,7]) ).
tff(31,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(32,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)],[31]) ).
tff(33,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(34,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(35,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)],[34,33]) ).
tff(36,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)],[35]) ).
tff(37,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)],[36,32]) ).
tff(38,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(39,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)],[38,37]) ).
tff(40,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(41,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),x1)) = x1,
inference(unit_resolution,[status(thm)],[40,7]) ).
tff(42,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(43,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)],[42,26]) ).
tff(44,plain,
^ [B: $i,A: $i] :
refl(( ( mult(A,ld(A,B)) = B )
<=> ( mult(A,ld(A,B)) = B ) )),
inference(bind,[status(th)],[]) ).
tff(45,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)],[44]) ).
tff(46,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(47,axiom,
! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
tff(48,plain,
! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B ),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B ),
inference(skolemize,[status(sab)],[48]) ).
tff(50,plain,
! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B ),
inference(modus_ponens,[status(thm)],[49,45]) ).
tff(51,plain,
( ~ ! [B: $i,A: $i] : ( mult(A,ld(A,B)) = B )
| ( mult(x1,ld(x1,x1)) = x1 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(52,plain,
mult(x1,ld(x1,x1)) = x1,
inference(unit_resolution,[status(thm)],[51,50]) ).
tff(53,plain,
x1 = mult(x1,ld(x1,x1)),
inference(symmetry,[status(thm)],[52]) ).
tff(54,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(x1,mult(x1,x1)) = x1 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(55,plain,
ld(x1,mult(x1,x1)) = x1,
inference(unit_resolution,[status(thm)],[54,7]) ).
tff(56,plain,
mult(mult(x1,ld(x1,x1)),ld(x1,x1)) = mult(x1,ld(x1,x1)),
inference(monotonicity,[status(thm)],[52]) ).
tff(57,plain,
mult(mult(x1,ld(x1,x1)),ld(x1,x1)) = x1,
inference(transitivity,[status(thm)],[56,52]) ).
tff(58,plain,
mult(mult(mult(x1,ld(x1,x1)),ld(x1,x1)),x1) = mult(x1,x1),
inference(monotonicity,[status(thm)],[57]) ).
tff(59,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(60,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)],[59,37]) ).
tff(61,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)],[60]) ).
tff(62,plain,
mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1))) = mult(x1,x1),
inference(transitivity,[status(thm)],[61,58]) ).
tff(63,plain,
ld(x1,mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1)))) = ld(x1,mult(x1,x1)),
inference(monotonicity,[status(thm)],[62]) ).
tff(64,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(65,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)],[64,7]) ).
tff(66,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)],[65]) ).
tff(67,plain,
mult(ld(x1,x1),mult(x1,ld(x1,x1))) = mult(ld(x1,x1),x1),
inference(monotonicity,[status(thm)],[52]) ).
tff(68,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)],[67]) ).
tff(69,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(70,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)],[69,37]) ).
tff(71,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)) = mult(x1,ld(x1,x1)),
inference(transitivity,[status(thm)],[70,68,66,63,55,53]) ).
tff(72,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)],[71]) ).
tff(73,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)],[72]) ).
tff(74,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(75,plain,
rd(mult(x1,ld(x1,x1)),ld(x1,x1)) = x1,
inference(unit_resolution,[status(thm)],[74,26]) ).
tff(76,plain,
x1 = rd(mult(x1,ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[75]) ).
tff(77,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(x1,x1),x1) = x1 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(78,plain,
rd(mult(x1,x1),x1) = x1,
inference(unit_resolution,[status(thm)],[77,26]) ).
tff(79,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)],[43]) ).
tff(80,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),x1) = x1,
inference(transitivity,[status(thm)],[79,72,75]) ).
tff(81,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)],[80]) ).
tff(82,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),x1)) = x1,
inference(transitivity,[status(thm)],[81,79,72,75]) ).
tff(83,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)],[82]) ).
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(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(85,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)],[84,37]) ).
tff(86,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)],[85,83]) ).
tff(87,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)],[86]) ).
tff(88,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(89,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)],[88,26]) ).
tff(90,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)],[89]) ).
tff(91,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)],[80]) ).
tff(92,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)],[91]) ).
tff(93,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(94,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)],[93,37]) ).
tff(95,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)],[94]) ).
tff(96,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)],[95,92,90,87,78,76,73,43]) ).
tff(97,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)],[96]) ).
tff(98,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(99,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)],[98,7]) ).
tff(100,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)],[99]) ).
tff(101,plain,
mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))) = x1,
inference(transitivity,[status(thm)],[100,97,41]) ).
tff(102,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)],[101]) ).
tff(103,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(104,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)],[103,7]) ).
tff(105,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)],[104]) ).
tff(106,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = ld(x1,x1),
inference(transitivity,[status(thm)],[105,102]) ).
tff(107,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)),mult(ld(x1,x1),x1))) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1))),
inference(monotonicity,[status(thm)],[106]) ).
tff(108,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)),mult(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)),mult(ld(x1,x1),x1))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(109,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)),mult(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)),mult(ld(x1,x1),x1))),
inference(unit_resolution,[status(thm)],[108,26]) ).
tff(110,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)),mult(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)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(111,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)),mult(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)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[110,37]) ).
tff(112,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)),mult(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)),mult(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[111]) ).
tff(113,plain,
mult(ld(x1,x1),mult(ld(x1,x1),x1)) = x1,
inference(transitivity,[status(thm)],[66,63,55]) ).
tff(114,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),x1)),ld(x1,x1)) = mult(x1,ld(x1,x1)),
inference(monotonicity,[status(thm)],[113]) ).
tff(115,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),x1)),ld(x1,x1)) = x1,
inference(transitivity,[status(thm)],[114,52]) ).
tff(116,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),x1)),ld(x1,x1)),ld(x1,x1)) = mult(x1,ld(x1,x1)),
inference(monotonicity,[status(thm)],[115]) ).
tff(117,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),x1)),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(118,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),x1)),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[117,37]) ).
tff(119,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),x1)),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[118]) ).
tff(120,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1)))) = x1,
inference(transitivity,[status(thm)],[119,116,52]) ).
tff(121,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),ld(x1,x1)),x1),
inference(monotonicity,[status(thm)],[120]) ).
tff(122,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)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(123,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[122,37]) ).
tff(124,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))) = x1,
inference(transitivity,[status(thm)],[123,121,79,72,75]) ).
tff(125,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(ld(x1,x1),ld(x1,x1)),x1),
inference(monotonicity,[status(thm)],[124]) ).
tff(126,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))) = x1,
inference(transitivity,[status(thm)],[125,79,72,75]) ).
tff(127,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)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),ld(x1,x1)),x1),
inference(monotonicity,[status(thm)],[126]) ).
tff(128,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)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))))),
inference(symmetry,[status(thm)],[127]) ).
tff(129,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(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)),mult(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[123,121,128,112]) ).
tff(130,plain,
rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(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)),mult(ld(x1,x1),x1))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[129]) ).
tff(131,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[123]) ).
tff(132,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),x1) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(symmetry,[status(thm)],[121]) ).
tff(133,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)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[90,87,78,76,73,43,132,131]) ).
tff(134,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)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[133]) ).
tff(135,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(136,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)],[135,26]) ).
tff(137,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)],[136]) ).
tff(138,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),x1),ld(x1,x1)) = x1,
inference(transitivity,[status(thm)],[70,68,66,63,55]) ).
tff(139,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)],[138]) ).
tff(140,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(141,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)],[140,37]) ).
tff(142,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)],[141]) ).
tff(143,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)),mult(ld(x1,x1),x1))),
inference(transitivity,[status(thm)],[142,139,137,134,130,109,107]) ).
tff(144,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)),mult(ld(x1,x1),x1))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[143]) ).
tff(145,plain,
mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(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)],[144]) ).
tff(146,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(x1,mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[113]) ).
tff(147,plain,
mult(mult(ld(x1,x1),mult(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)),mult(ld(x1,x1),x1))),
inference(transitivity,[status(thm)],[146,137,134,130,109,107]) ).
tff(148,plain,
mult(mult(mult(ld(x1,x1),mult(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)),mult(ld(x1,x1),x1))),ld(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(ld(x1,x1),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(150,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[149,37]) ).
tff(151,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1))),ld(x1,x1)),
inference(symmetry,[status(thm)],[150]) ).
tff(152,plain,
mult(ld(x1,x1),mult(mult(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)],[151,148,145,39]) ).
tff(153,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(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)],[152]) ).
tff(154,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(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))))),
inference(symmetry,[status(thm)],[153]) ).
tff(155,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(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(156,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[155,7]) ).
tff(157,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(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(158,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(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1)),
inference(unit_resolution,[status(thm)],[157,26]) ).
tff(159,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(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(160,plain,
mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[159,37]) ).
tff(161,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),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(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[160]) ).
tff(162,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)],[52]) ).
tff(163,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),x1) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,ld(x1,x1))),
inference(symmetry,[status(thm)],[162]) ).
tff(164,plain,
x1 = mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,ld(x1,x1))),
inference(transitivity,[status(thm)],[76,73,43,163]) ).
tff(165,plain,
mult(ld(x1,x1),x1) = mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,ld(x1,x1)))),
inference(monotonicity,[status(thm)],[164]) ).
tff(166,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,ld(x1,x1)))) = mult(ld(x1,x1),x1),
inference(symmetry,[status(thm)],[165]) ).
tff(167,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(168,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)],[167,37]) ).
tff(169,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)) = mult(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[168,166]) ).
tff(170,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1)),
inference(monotonicity,[status(thm)],[169]) ).
tff(171,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)))) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1))),
inference(monotonicity,[status(thm)],[170]) ).
tff(172,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(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(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[171]) ).
tff(173,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)),mult(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)),mult(ld(x1,x1),x1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(174,plain,
rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(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)),mult(ld(x1,x1),x1)),
inference(unit_resolution,[status(thm)],[173,26]) ).
tff(175,plain,
mult(x1,mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1)),
inference(transitivity,[status(thm)],[137,134,174]) ).
tff(176,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)),mult(ld(x1,x1),x1))),
inference(monotonicity,[status(thm)],[175]) ).
tff(177,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(178,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)],[177,37]) ).
tff(179,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(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)),
inference(transitivity,[status(thm)],[178,176,172,161]) ).
tff(180,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(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[179]) ).
tff(181,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(182,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)],[181,26]) ).
tff(183,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)],[182]) ).
tff(184,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(185,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),x1))) = mult(ld(x1,x1),x1),
inference(unit_resolution,[status(thm)],[184,7]) ).
tff(186,plain,
ld(x1,mult(x1,x1)) = ld(x1,mult(x1,mult(ld(x1,x1),mult(ld(x1,x1),x1)))),
inference(symmetry,[status(thm)],[63]) ).
tff(187,plain,
x1 = ld(x1,mult(x1,x1)),
inference(symmetry,[status(thm)],[55]) ).
tff(188,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),mult(ld(x1,x1),x1)),
inference(transitivity,[status(thm)],[119,116,52,187,186,65]) ).
tff(189,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),x1))),
inference(monotonicity,[status(thm)],[188]) ).
tff(190,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(191,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[190,7]) ).
tff(192,plain,
mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(symmetry,[status(thm)],[191]) ).
tff(193,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1))) = mult(ld(x1,x1),mult(ld(x1,x1),x1)),
inference(monotonicity,[status(thm)],[169]) ).
tff(194,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1))) = x1,
inference(transitivity,[status(thm)],[193,66,63,55]) ).
tff(195,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)))) = mult(ld(x1,x1),x1),
inference(monotonicity,[status(thm)],[194]) ).
tff(196,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(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(197,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[196,37]) ).
tff(198,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)) = mult(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[197,195]) ).
tff(199,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[198]) ).
tff(200,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(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(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(201,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),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(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[200,37]) ).
tff(202,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[201]) ).
tff(203,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))) = mult(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[202,199,192,189,185]) ).
tff(204,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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)],[203]) ).
tff(205,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(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(206,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[205,37]) ).
tff(207,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),
inference(symmetry,[status(thm)],[206]) ).
tff(208,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),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(ld(x1,x1),ld(x1,x1))),x1)),
inference(transitivity,[status(thm)],[207,204,183,180,158]) ).
tff(209,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(210,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)],[209,7]) ).
tff(211,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)],[106]) ).
tff(212,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(213,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)],[212,37]) ).
tff(214,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)],[213]) ).
tff(215,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)],[214,211]) ).
tff(216,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)],[215]) ).
tff(217,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)],[216]) ).
tff(218,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(219,plain,
ld(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))) = ld(x1,x1),
inference(unit_resolution,[status(thm)],[218,7]) ).
tff(220,plain,
ld(x1,x1) = ld(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[219]) ).
tff(221,plain,
ld(x1,x1) = mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),
inference(transitivity,[status(thm)],[220,217,210]) ).
tff(222,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),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(ld(x1,x1),ld(x1,x1))),x1))),
inference(monotonicity,[status(thm)],[221,208]) ).
tff(223,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(ld(x1,x1),ld(x1,x1))),x1))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))),
inference(symmetry,[status(thm)],[222]) ).
tff(224,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(ld(x1,x1),ld(x1,x1))),x1))) = mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(225,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(ld(x1,x1),ld(x1,x1))),x1))) = mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),
inference(unit_resolution,[status(thm)],[224,7]) ).
tff(226,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1))),
inference(symmetry,[status(thm)],[225]) ).
tff(227,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(228,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)],[227,26]) ).
tff(229,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),ld(x1,x1)),mult(x1,ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)),
inference(symmetry,[status(thm)],[168]) ).
tff(230,plain,
mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),x1),
inference(monotonicity,[status(thm)],[124]) ).
tff(231,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)),mult(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)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(232,plain,
mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(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)),mult(ld(x1,x1),x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[231,37]) ).
tff(233,plain,
mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)),
inference(transitivity,[status(thm)],[232,230,165,229]) ).
tff(234,plain,
rd(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(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(monotonicity,[status(thm)],[233]) ).
tff(235,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)),mult(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)),mult(ld(x1,x1),x1))),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(236,plain,
rd(mult(mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(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)),mult(ld(x1,x1),x1))),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[235,26]) ).
tff(237,plain,
mult(mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(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)),mult(ld(x1,x1),x1))),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[236]) ).
tff(238,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)],[39]) ).
tff(239,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))),
inference(transitivity,[status(thm)],[238,144,237,234,228,226,223,156]) ).
tff(240,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[239]) ).
tff(241,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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)],[240]) ).
tff(242,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(243,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[242,7]) ).
tff(244,plain,
mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(symmetry,[status(thm)],[243]) ).
tff(245,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(246,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))) = mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[245,7]) ).
tff(247,plain,
mult(mult(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(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[199]) ).
tff(248,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[203]) ).
tff(249,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),mult(ld(x1,x1),ld(x1,x1))) = mult(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[248,192,189,185]) ).
tff(250,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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),x1),mult(ld(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),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,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(252,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,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)],[251,37]) ).
tff(253,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,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)],[252]) ).
tff(254,plain,
mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[106]) ).
tff(255,plain,
mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)) = mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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)],[254]) ).
tff(256,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,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)],[255]) ).
tff(257,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(transitivity,[status(thm)],[256,253,250,247,201]) ).
tff(258,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(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))),
inference(monotonicity,[status(thm)],[257]) ).
tff(259,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(symmetry,[status(thm)],[258]) ).
tff(260,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)],[106]) ).
tff(261,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),x1),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[260]) ).
tff(262,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(263,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)],[262,37]) ).
tff(264,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)],[263]) ).
tff(265,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),
inference(transitivity,[status(thm)],[264,261,247,201]) ).
tff(266,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))),
inference(monotonicity,[status(thm)],[265]) ).
tff(267,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(268,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)],[267,7]) ).
tff(269,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)],[268]) ).
tff(270,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(271,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)],[270,7]) ).
tff(272,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)],[211]) ).
tff(273,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(274,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)],[273,37]) ).
tff(275,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)],[274]) ).
tff(276,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)],[275,272]) ).
tff(277,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)],[276]) ).
tff(278,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(279,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)],[278,7]) ).
tff(280,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)],[279]) ).
tff(281,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)],[280,277,271]) ).
tff(282,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),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(monotonicity,[status(thm)],[281]) ).
tff(283,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(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(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(284,plain,
rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),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))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[283,26]) ).
tff(285,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(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(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(quant_inst,[status(thm)],[]) ).
tff(286,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),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(ld(x1,x1),ld(x1,x1)),mult(mult(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(unit_resolution,[status(thm)],[285,37]) ).
tff(287,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(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))))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),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)],[286]) ).
tff(288,plain,
mult(mult(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))) = x1,
inference(transitivity,[status(thm)],[90,87,78]) ).
tff(289,plain,
mult(mult(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)))) = mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),
inference(monotonicity,[status(thm)],[288]) ).
tff(290,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(x1,mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[289]) ).
tff(291,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(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)],[290]) ).
tff(292,plain,
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)),mult(ld(x1,x1),x1))),
inference(transitivity,[status(thm)],[137,134,130,109,107]) ).
tff(293,plain,
mult(mult(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(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1)),mult(ld(x1,x1),x1))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[292,106]) ).
tff(294,plain,
mult(mult(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(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),
inference(transitivity,[status(thm)],[293,237,234,228]) ).
tff(295,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(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(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),
inference(monotonicity,[status(thm)],[294]) ).
tff(296,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(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(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(297,plain,
mult(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))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(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)],[296,37]) ).
tff(298,plain,
mult(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))) = mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[297,295,291,287]) ).
tff(299,plain,
rd(mult(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))),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(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1))),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[298]) ).
tff(300,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(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))),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(quant_inst,[status(thm)],[]) ).
tff(301,plain,
rd(mult(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))),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(unit_resolution,[status(thm)],[300,26]) ).
tff(302,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))) = rd(mult(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))),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[301]) ).
tff(303,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),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(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[282]) ).
tff(304,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(ld(x1,x1),ld(x1,x1))),x1)),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))),x1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(305,plain,
rd(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),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))),x1)),
inference(unit_resolution,[status(thm)],[304,26]) ).
tff(306,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[197]) ).
tff(307,plain,
mult(ld(x1,x1),x1) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[195]) ).
tff(308,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)),
inference(transitivity,[status(thm)],[168,166,307,306]) ).
tff(309,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),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[308]) ).
tff(310,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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)],[228]) ).
tff(311,plain,
mult(mult(ld(x1,x1),x1),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))))),ld(x1,x1)),
inference(symmetry,[status(thm)],[204]) ).
tff(312,plain,
mult(mult(ld(x1,x1),x1),mult(ld(x1,x1),ld(x1,x1))) = mult(ld(x1,x1),x1),
inference(transitivity,[status(thm)],[192,189,185]) ).
tff(313,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)],[312]) ).
tff(314,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(315,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)],[314,37]) ).
tff(316,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)],[315]) ).
tff(317,plain,
mult(ld(x1,x1),mult(x1,mult(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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(transitivity,[status(thm)],[316,313,311,206]) ).
tff(318,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))))),
inference(monotonicity,[status(thm)],[317]) ).
tff(319,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(320,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)],[319,7]) ).
tff(321,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)],[320]) ).
tff(322,plain,
mult(x1,mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))) = mult(mult(ld(x1,x1),x1),mult(mult(ld(x1,x1),ld(x1,x1)),ld(x1,x1))),
inference(transitivity,[status(thm)],[321,318,222,225,310,309,305,291,287,303,302,299,284,282,269,266,259,246,244,241,154,30]) ).
tff(323,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(mult(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)],[322]) ).
tff(324,plain,
rd(mult(mult(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)],[323]) ).
tff(325,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(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))) = mult(ld(x1,x1),x1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(326,plain,
rd(mult(mult(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))) = mult(ld(x1,x1),x1),
inference(unit_resolution,[status(thm)],[325,26]) ).
tff(327,plain,
mult(ld(x1,x1),x1) = rd(mult(mult(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)],[326]) ).
tff(328,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(329,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))))) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[328,7]) ).
tff(330,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(transitivity,[status(thm)],[310,309,305,291,287,303,302,299,284,282,269,266,329]) ).
tff(331,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)) = mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[330]) ).
tff(332,plain,
mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)),
inference(symmetry,[status(thm)],[331]) ).
tff(333,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),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(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(334,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),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(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[333,7]) ).
tff(335,plain,
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)],[102]) ).
tff(336,plain,
ld(x1,x1) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[335,104]) ).
tff(337,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),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(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(x1,mult(ld(x1,x1),ld(x1,x1))))),
inference(monotonicity,[status(thm)],[336]) ).
tff(338,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)),mult(ld(x1,x1),mult(ld(x1,x1),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)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(x1,mult(ld(x1,x1),ld(x1,x1))))),
inference(symmetry,[status(thm)],[337]) ).
tff(339,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)),mult(ld(x1,x1),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))) = 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)),mult(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(340,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)),mult(ld(x1,x1),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))) = 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)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(x1,mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[339,26]) ).
tff(341,plain,
rd(mult(mult(mult(ld(x1,x1),ld(x1,x1)),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(ld(x1,x1),ld(x1,x1))),x1),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[309]) ).
tff(342,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)) = rd(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[305]) ).
tff(343,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(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))))) = mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),
inference(symmetry,[status(thm)],[291]) ).
tff(344,plain,
mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),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(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),
inference(transitivity,[status(thm)],[286,343,342,341,228]) ).
tff(345,plain,
mult(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(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(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),
inference(monotonicity,[status(thm)],[344]) ).
tff(346,plain,
mult(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(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),
inference(transitivity,[status(thm)],[345,342,341,228]) ).
tff(347,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)),mult(ld(x1,x1),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(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1)),
inference(monotonicity,[status(thm)],[346]) ).
tff(348,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)),mult(ld(x1,x1),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(ld(x1,x1),ld(x1,x1)),mult(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(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(349,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)),mult(ld(x1,x1),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(ld(x1,x1),ld(x1,x1)),mult(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(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1))))),
inference(unit_resolution,[status(thm)],[348,37]) ).
tff(350,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)),mult(ld(x1,x1),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),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[349,347,291,287]) ).
tff(351,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)),mult(ld(x1,x1),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))) = rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),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(monotonicity,[status(thm)],[350]) ).
tff(352,plain,
rd(mult(mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),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))) = 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)),mult(ld(x1,x1),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(symmetry,[status(thm)],[351]) ).
tff(353,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(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(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)],[284]) ).
tff(354,plain,
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(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(x1,mult(ld(x1,x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[282]) ).
tff(355,plain,
ld(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(x1,mult(ld(x1,x1),ld(x1,x1)))))),
inference(symmetry,[status(thm)],[266]) ).
tff(356,plain,
mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)))),
inference(symmetry,[status(thm)],[246]) ).
tff(357,plain,
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)],[28]) ).
tff(358,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(rd(x1,x0),x1),x1) = rd(x1,x0) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(359,plain,
rd(mult(rd(x1,x0),x1),x1) = rd(x1,x0),
inference(unit_resolution,[status(thm)],[358,26]) ).
tff(360,plain,
( ~ ! [B: $i,A: $i] : ( mult(rd(A,B),B) = A )
| ( mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)) = mult(rd(x1,x0),x1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(361,plain,
mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)) = mult(rd(x1,x0),x1),
inference(unit_resolution,[status(thm)],[360,16]) ).
tff(362,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,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(363,plain,
ld(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))) = ld(x1,x1),
inference(unit_resolution,[status(thm)],[362,7]) ).
tff(364,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(transitivity,[status(thm)],[302,299,284,282,269,266,259,246]) ).
tff(365,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(transitivity,[status(thm)],[269,266,329]) ).
tff(366,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(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1))),
inference(monotonicity,[status(thm)],[365,364]) ).
tff(367,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(368,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)],[367,7]) ).
tff(369,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)],[368]) ).
tff(370,plain,
mult(ld(x1,x1),ld(x1,x1)) = ld(x1,x1),
inference(transitivity,[status(thm)],[369,366,363]) ).
tff(371,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),rd(mult(rd(x1,x0),x1),ld(x1,x1))) = mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),
inference(monotonicity,[status(thm)],[370]) ).
tff(372,plain,
mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))) = mult(mult(ld(x1,x1),ld(x1,x1)),rd(mult(rd(x1,x0),x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[371]) ).
tff(373,plain,
mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[372]) ).
tff(374,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)) = mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),
inference(symmetry,[status(thm)],[373]) ).
tff(375,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)),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(376,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[375,37]) ).
tff(377,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),
inference(symmetry,[status(thm)],[376]) ).
tff(378,plain,
mult(ld(x1,x1),mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1))) = mult(ld(x1,x1),mult(rd(x1,x0),x1)),
inference(monotonicity,[status(thm)],[361]) ).
tff(379,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)))) = mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),
inference(monotonicity,[status(thm)],[378]) ).
tff(380,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))) = mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)))),
inference(symmetry,[status(thm)],[379]) ).
tff(381,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(382,plain,
rd(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),
inference(unit_resolution,[status(thm)],[381,26]) ).
tff(383,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))) = mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),
inference(transitivity,[status(thm)],[380,377,374]) ).
tff(384,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[383]) ).
tff(385,plain,
mult(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),ld(x1,x1)),
inference(symmetry,[status(thm)],[384]) ).
tff(386,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),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(387,plain,
mult(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[386,37]) ).
tff(388,plain,
mult(ld(x1,x1),mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[387]) ).
tff(389,plain,
mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))) = mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[370]) ).
tff(390,plain,
mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)) = mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[389]) ).
tff(391,plain,
mult(rd(x1,x0),x1) = mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[361]) ).
tff(392,plain,
mult(rd(x1,x0),x1) = mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[391,390]) ).
tff(393,plain,
mult(ld(x1,x1),mult(rd(x1,x0),x1)) = mult(ld(x1,x1),mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[392]) ).
tff(394,plain,
mult(rd(x1,x0),mult(x1,ld(x1,x1))) = mult(rd(x1,x0),x1),
inference(monotonicity,[status(thm)],[52]) ).
tff(395,plain,
mult(ld(x1,x1),mult(rd(x1,x0),mult(x1,ld(x1,x1)))) = mult(ld(x1,x1),mult(rd(x1,x0),x1)),
inference(monotonicity,[status(thm)],[394]) ).
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),rd(x1,x0)),x1),ld(x1,x1)) = mult(ld(x1,x1),mult(rd(x1,x0),mult(x1,ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(397,plain,
mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)) = mult(ld(x1,x1),mult(rd(x1,x0),mult(x1,ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[396,37]) ).
tff(398,plain,
mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),ld(x1,x1)),
inference(transitivity,[status(thm)],[397,395,393,388,385]) ).
tff(399,plain,
rd(mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)),ld(x1,x1)) = rd(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[398]) ).
tff(400,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),rd(x1,x0)),x1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(401,plain,
rd(mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),rd(x1,x0)),x1),
inference(unit_resolution,[status(thm)],[400,26]) ).
tff(402,plain,
mult(mult(ld(x1,x1),rd(x1,x0)),x1) = rd(mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[401]) ).
tff(403,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1))) = mult(mult(ld(x1,x1),rd(x1,x0)),x1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(404,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1))) = mult(mult(ld(x1,x1),rd(x1,x0)),x1),
inference(unit_resolution,[status(thm)],[403,7]) ).
tff(405,plain,
mult(mult(ld(x1,x1),rd(x1,x0)),x1) = mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),
inference(transitivity,[status(thm)],[402,399,382]) ).
tff(406,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1)))),
inference(monotonicity,[status(thm)],[405]) ).
tff(407,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1)))) = mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),
inference(symmetry,[status(thm)],[406]) ).
tff(408,plain,
mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)) = mult(ld(x1,x1),mult(rd(x1,x0),x1)),
inference(transitivity,[status(thm)],[397,395]) ).
tff(409,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1))) = mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),
inference(monotonicity,[status(thm)],[408]) ).
tff(410,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1))),
inference(symmetry,[status(thm)],[409]) ).
tff(411,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1)))) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)))),
inference(monotonicity,[status(thm)],[410]) ).
tff(412,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)))) = mult(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1)))),
inference(symmetry,[status(thm)],[411]) ).
tff(413,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),rd(x1,x0)),x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(414,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[413,37]) ).
tff(415,plain,
mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),rd(x1,x0)),x1)) = mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),
inference(monotonicity,[status(thm)],[370]) ).
tff(416,plain,
mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[415]) ).
tff(417,plain,
mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[416]) ).
tff(418,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(419,plain,
rd(mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[418,26]) ).
tff(420,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),rd(x1,x0)),x1)),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(421,plain,
mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[420,37]) ).
tff(422,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[421]) ).
tff(423,plain,
mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)),
inference(monotonicity,[status(thm)],[370]) ).
tff(424,plain,
mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),mult(ld(x1,x1),ld(x1,x1))) = mult(ld(x1,x1),mult(rd(x1,x0),x1)),
inference(transitivity,[status(thm)],[423,397,395]) ).
tff(425,plain,
mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),
inference(monotonicity,[status(thm)],[424]) ).
tff(426,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[425]) ).
tff(427,plain,
mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),ld(x1,x1)),
inference(transitivity,[status(thm)],[373,376,379,426,422]) ).
tff(428,plain,
rd(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = rd(mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[427]) ).
tff(429,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(430,plain,
rd(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),
inference(unit_resolution,[status(thm)],[429,26]) ).
tff(431,plain,
mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))) = rd(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[430]) ).
tff(432,plain,
mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))) = mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),
inference(transitivity,[status(thm)],[431,428,419,417,414,412,407]) ).
tff(433,plain,
ld(ld(x1,x1),mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1)))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1))),
inference(monotonicity,[status(thm)],[432]) ).
tff(434,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1)))) = rd(mult(rd(x1,x0),x1),ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(435,plain,
ld(ld(x1,x1),mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1)))) = rd(mult(rd(x1,x0),x1),ld(x1,x1)),
inference(unit_resolution,[status(thm)],[434,7]) ).
tff(436,plain,
rd(mult(rd(x1,x0),x1),ld(x1,x1)) = ld(ld(x1,x1),mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[435]) ).
tff(437,plain,
rd(mult(rd(x1,x0),x1),ld(x1,x1)) = mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),
inference(transitivity,[status(thm)],[436,433,404,402,399,382,380,377,374]) ).
tff(438,plain,
mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[437]) ).
tff(439,plain,
mult(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[438]) ).
tff(440,plain,
rd(mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)) = rd(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[428]) ).
tff(441,plain,
mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)) = rd(mult(mult(mult(ld(x1,x1),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[419]) ).
tff(442,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),rd(x1,x0)),x1),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(mult(ld(x1,x1),rd(x1,x0)),x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[414]) ).
tff(443,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1)))) = mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),
inference(transitivity,[status(thm)],[411,442,416,441,440,430]) ).
tff(444,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1)))),ld(x1,x1)) = mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[443]) ).
tff(445,plain,
mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)) = mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1)))),ld(x1,x1)),
inference(symmetry,[status(thm)],[444]) ).
tff(446,plain,
mult(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1)))),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[445]) ).
tff(447,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1)))),ld(x1,x1)),ld(x1,x1)) = mult(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[446]) ).
tff(448,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(ld(x1,x1),mult(rd(x1,x0),x1)))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),mult(ld(x1,x1),ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(449,plain,
mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1)))),ld(x1,x1)),ld(x1,x1)) = mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),mult(ld(x1,x1),ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[448,37]) ).
tff(450,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),mult(ld(x1,x1),ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1)))),ld(x1,x1)),ld(x1,x1)),
inference(symmetry,[status(thm)],[449]) ).
tff(451,plain,
mult(ld(x1,x1),mult(rd(mult(rd(x1,x0),x1),ld(x1,x1)),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),mult(rd(x1,x0),x1)),
inference(symmetry,[status(thm)],[393]) ).
tff(452,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(mult(mult(ld(x1,x1),rd(mult(rd(x1,x0),x1),ld(x1,x1))),ld(x1,x1)),ld(x1,x1)),
inference(monotonicity,[status(thm)],[383,370]) ).
tff(453,plain,
mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),mult(ld(x1,x1),ld(x1,x1))) = mult(ld(x1,x1),mult(rd(x1,x0),x1)),
inference(transitivity,[status(thm)],[452,387,451]) ).
tff(454,plain,
mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),mult(ld(x1,x1),ld(x1,x1)))) = mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),
inference(monotonicity,[status(thm)],[453]) ).
tff(455,plain,
mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))) = mult(ld(x1,x1),mult(mult(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),x1))),mult(ld(x1,x1),ld(x1,x1)))),
inference(symmetry,[status(thm)],[454]) ).
tff(456,plain,
mult(mult(ld(x1,x1),rd(x1,x0)),x1) = mult(rd(x1,x0),x1),
inference(transitivity,[status(thm)],[402,399,382,455,450,447,439,361]) ).
tff(457,plain,
rd(mult(mult(ld(x1,x1),rd(x1,x0)),x1),x1) = rd(mult(rd(x1,x0),x1),x1),
inference(monotonicity,[status(thm)],[456]) ).
tff(458,plain,
( ~ ! [B: $i,A: $i] : ( rd(mult(A,B),B) = A )
| ( rd(mult(mult(ld(x1,x1),rd(x1,x0)),x1),x1) = mult(ld(x1,x1),rd(x1,x0)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(459,plain,
rd(mult(mult(ld(x1,x1),rd(x1,x0)),x1),x1) = mult(ld(x1,x1),rd(x1,x0)),
inference(unit_resolution,[status(thm)],[458,26]) ).
tff(460,plain,
mult(ld(x1,x1),rd(x1,x0)) = rd(mult(mult(ld(x1,x1),rd(x1,x0)),x1),x1),
inference(symmetry,[status(thm)],[459]) ).
tff(461,plain,
mult(ld(x1,x1),rd(x1,x0)) = rd(x1,x0),
inference(transitivity,[status(thm)],[460,457,359]) ).
tff(462,plain,
mult(mult(ld(x1,x1),rd(x1,x0)),x0) = mult(rd(x1,x0),x0),
inference(monotonicity,[status(thm)],[461]) ).
tff(463,plain,
mult(mult(ld(x1,x1),rd(x1,x0)),x0) = mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),
inference(transitivity,[status(thm)],[462,18,357,323,326,165,229,331,356,258,329]) ).
tff(464,plain,
mult(mult(mult(ld(x1,x1),rd(x1,x0)),x0),ld(x1,x1)) = mult(mult(mult(mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1))),x1),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),ld(x1,x1)),
inference(monotonicity,[status(thm)],[463]) ).
tff(465,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),rd(x1,x0)),x0),ld(x1,x1)) = mult(ld(x1,x1),mult(rd(x1,x0),mult(x0,ld(x1,x1)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(466,plain,
mult(mult(mult(ld(x1,x1),rd(x1,x0)),x0),ld(x1,x1)) = mult(ld(x1,x1),mult(rd(x1,x0),mult(x0,ld(x1,x1)))),
inference(unit_resolution,[status(thm)],[465,37]) ).
tff(467,plain,
mult(ld(x1,x1),mult(rd(x1,x0),mult(x0,ld(x1,x1)))) = mult(mult(mult(ld(x1,x1),rd(x1,x0)),x0),ld(x1,x1)),
inference(symmetry,[status(thm)],[466]) ).
tff(468,plain,
mult(ld(x1,x1),mult(rd(x1,x0),mult(x0,ld(x1,x1)))) = mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(x1,mult(ld(x1,x1),ld(x1,x1))))),
inference(transitivity,[status(thm)],[467,464,356,258,355,268,354,353,352,340,338]) ).
tff(469,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),mult(x0,ld(x1,x1))))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(mult(mult(ld(x1,x1),ld(x1,x1)),mult(ld(x1,x1),mult(ld(x1,x1),ld(x1,x1)))),mult(x1,mult(ld(x1,x1),ld(x1,x1)))))),
inference(monotonicity,[status(thm)],[468]) ).
tff(470,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),mult(x0,ld(x1,x1))))) = mult(rd(x1,x0),mult(x0,ld(x1,x1))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(471,plain,
ld(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),mult(x0,ld(x1,x1))))) = mult(rd(x1,x0),mult(x0,ld(x1,x1))),
inference(unit_resolution,[status(thm)],[470,7]) ).
tff(472,plain,
mult(rd(x1,x0),mult(x0,ld(x1,x1))) = ld(ld(x1,x1),mult(ld(x1,x1),mult(rd(x1,x0),mult(x0,ld(x1,x1))))),
inference(symmetry,[status(thm)],[471]) ).
tff(473,plain,
mult(rd(x1,x0),mult(x0,ld(x1,x1))) = mult(rd(x1,x0),x0),
inference(transitivity,[status(thm)],[472,469,334,282,269,266,259,246,332,168,166,327,324,28,19]) ).
tff(474,plain,
ld(rd(x1,x0),mult(rd(x1,x0),mult(x0,ld(x1,x1)))) = ld(rd(x1,x0),mult(rd(x1,x0),x0)),
inference(monotonicity,[status(thm)],[473]) ).
tff(475,plain,
( ~ ! [B: $i,A: $i] : ( ld(A,mult(A,B)) = B )
| ( ld(rd(x1,x0),mult(rd(x1,x0),mult(x0,ld(x1,x1)))) = mult(x0,ld(x1,x1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(476,plain,
ld(rd(x1,x0),mult(rd(x1,x0),mult(x0,ld(x1,x1)))) = mult(x0,ld(x1,x1)),
inference(unit_resolution,[status(thm)],[475,7]) ).
tff(477,plain,
mult(x0,ld(x1,x1)) = ld(rd(x1,x0),mult(rd(x1,x0),mult(x0,ld(x1,x1)))),
inference(symmetry,[status(thm)],[476]) ).
tff(478,plain,
mult(x0,ld(x1,x1)) = x0,
inference(transitivity,[status(thm)],[477,474,9]) ).
tff(479,plain,
( ( mult(x0,ld(x1,x1)) != x0 )
<=> ( mult(x0,ld(x1,x1)) != x0 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(480,axiom,
mult(x0,ld(x1,x1)) != x0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(481,plain,
mult(x0,ld(x1,x1)) != x0,
inference(modus_ponens,[status(thm)],[480,479]) ).
tff(482,plain,
$false,
inference(unit_resolution,[status(thm)],[481,478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GRP660-13 : TPTP v9.0.0. Released v8.1.0.
% 0.02/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 16:47:56 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.49/0.69 % SZS status Unsatisfiable
% 0.49/0.69 % SZS output start Proof
% See solution above
% 0.61/0.79 % E exiting
%------------------------------------------------------------------------------