TSTP Solution File: BOO037-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : BOO037-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 : Wed Jul 27 12:47:39 EDT 2022
% Result : Unknown 2.74s 2.97s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO037-2 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 : Wed Jul 27 02:21:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.91 ----- Otter 3.3f, August 2004 -----
% 1.74/1.91 The process was started by sandbox2 on n007.cluster.edu,
% 1.74/1.91 Wed Jul 27 02:21:31 2022
% 1.74/1.91 The command was "./otter". The process ID is 14724.
% 1.74/1.91
% 1.74/1.91 set(prolog_style_variables).
% 1.74/1.91 set(auto).
% 1.74/1.91 dependent: set(auto1).
% 1.74/1.91 dependent: set(process_input).
% 1.74/1.91 dependent: clear(print_kept).
% 1.74/1.91 dependent: clear(print_new_demod).
% 1.74/1.91 dependent: clear(print_back_demod).
% 1.74/1.91 dependent: clear(print_back_sub).
% 1.74/1.91 dependent: set(control_memory).
% 1.74/1.91 dependent: assign(max_mem, 12000).
% 1.74/1.91 dependent: assign(pick_given_ratio, 4).
% 1.74/1.91 dependent: assign(stats_level, 1).
% 1.74/1.91 dependent: assign(max_seconds, 10800).
% 1.74/1.91 clear(print_given).
% 1.74/1.91
% 1.74/1.91 list(usable).
% 1.74/1.91 0 [] A=A.
% 1.74/1.91 0 [] add(X,Y)=add(Y,X).
% 1.74/1.91 0 [] multiply(X,Y)=multiply(Y,X).
% 1.74/1.91 0 [] add(multiply(X,Y),Z)=multiply(add(X,Z),add(Y,Z)).
% 1.74/1.91 0 [] add(X,multiply(Y,Z))=multiply(add(X,Y),add(X,Z)).
% 1.74/1.91 0 [] multiply(add(X,Y),Z)=add(multiply(X,Z),multiply(Y,Z)).
% 1.74/1.91 0 [] multiply(X,add(Y,Z))=add(multiply(X,Y),multiply(X,Z)).
% 1.74/1.91 0 [] add(X,inverse(X))=multiplicative_identity.
% 1.74/1.91 0 [] add(inverse(X),X)=multiplicative_identity.
% 1.74/1.91 0 [] multiply(X,inverse(X))=additive_identity.
% 1.74/1.91 0 [] multiply(inverse(X),X)=additive_identity.
% 1.74/1.91 0 [] multiply(X,multiplicative_identity)=X.
% 1.74/1.91 0 [] multiply(multiplicative_identity,X)=X.
% 1.74/1.91 0 [] add(X,additive_identity)=X.
% 1.74/1.91 0 [] add(additive_identity,X)=X.
% 1.74/1.91 end_of_list.
% 1.74/1.91
% 1.74/1.91 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.74/1.91
% 1.74/1.91 All clauses are units, and equality is present; the
% 1.74/1.91 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.74/1.91
% 1.74/1.91 dependent: set(knuth_bendix).
% 1.74/1.91 dependent: set(anl_eq).
% 1.74/1.91 dependent: set(para_from).
% 1.74/1.91 dependent: set(para_into).
% 1.74/1.91 dependent: clear(para_from_right).
% 1.74/1.91 dependent: clear(para_into_right).
% 1.74/1.91 dependent: set(para_from_vars).
% 1.74/1.91 dependent: set(eq_units_both_ways).
% 1.74/1.91 dependent: set(dynamic_demod_all).
% 1.74/1.91 dependent: set(dynamic_demod).
% 1.74/1.91 dependent: set(order_eq).
% 1.74/1.91 dependent: set(back_demod).
% 1.74/1.91 dependent: set(lrpo).
% 1.74/1.91
% 1.74/1.91 There is no negative clause, so all clause lists will
% 1.74/1.91 be printed at the end of the search.
% 1.74/1.91
% 1.74/1.91 dependent: set(print_lists_at_end).
% 1.74/1.91
% 1.74/1.91 ------------> process usable:
% 1.74/1.91
% 1.74/1.91 ------------> process sos:
% 1.74/1.91 ** KEPT (pick-wt=3): 1 [] A=A.
% 1.74/1.91 ** KEPT (pick-wt=7): 2 [] add(A,B)=add(B,A).
% 1.74/1.91 ** KEPT (pick-wt=7): 3 [] multiply(A,B)=multiply(B,A).
% 1.74/1.91 ** KEPT (pick-wt=13): 5 [copy,4,flip.1] multiply(add(A,B),add(C,B))=add(multiply(A,C),B).
% 1.74/1.91 ---> New Demodulator: 6 [new_demod,5] multiply(add(A,B),add(C,B))=add(multiply(A,C),B).
% 1.74/1.91 ** KEPT (pick-wt=13): 8 [copy,7,flip.1] multiply(add(A,B),add(A,C))=add(A,multiply(B,C)).
% 1.74/1.91 ---> New Demodulator: 9 [new_demod,8] multiply(add(A,B),add(A,C))=add(A,multiply(B,C)).
% 1.74/1.91 ** KEPT (pick-wt=13): 10 [] multiply(add(A,B),C)=add(multiply(A,C),multiply(B,C)).
% 1.74/1.91 ---> New Demodulator: 11 [new_demod,10] multiply(add(A,B),C)=add(multiply(A,C),multiply(B,C)).
% 1.74/1.91 ** KEPT (pick-wt=13): 12 [] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 1.74/1.91 ---> New Demodulator: 13 [new_demod,12] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 1.74/1.91 ** KEPT (pick-wt=6): 14 [] add(A,inverse(A))=multiplicative_identity.
% 1.74/1.91 ---> New Demodulator: 15 [new_demod,14] add(A,inverse(A))=multiplicative_identity.
% 1.74/1.91 ** KEPT (pick-wt=6): 16 [] add(inverse(A),A)=multiplicative_identity.
% 1.74/1.91 ---> New Demodulator: 17 [new_demod,16] add(inverse(A),A)=multiplicative_identity.
% 1.74/1.91 ** KEPT (pick-wt=6): 18 [] multiply(A,inverse(A))=additive_identity.
% 1.74/1.91 ---> New Demodulator: 19 [new_demod,18] multiply(A,inverse(A))=additive_identity.
% 1.74/1.91 ** KEPT (pick-wt=6): 20 [] multiply(inverse(A),A)=additive_identity.
% 1.74/1.91 ---> New Demodulator: 21 [new_demod,20] multiply(inverse(A),A)=additive_identity.
% 1.74/1.91 ** KEPT (pick-wt=5): 22 [] multiply(A,multiplicative_identity)=A.
% 1.74/1.91 ---> New Demodulator: 23 [new_demod,22] multiply(A,multiplicative_identity)=A.
% 1.74/1.91 ** KEPT (pick-wt=5): 24 [] multiply(multiplicative_identity,A)=A.
% 1.74/1.91 ---> New Demodulator: 25 [new_demod,24] multiply(multiplicative_identity,A)=A.
% 1.74/1.91 ** KEPT (pick-wt=5): 26 [] add(A,additive_identity)=A.
% 1.74/1.91 ---> New Demodulator: 27 [new_demod,26] add(A,additive_identity)=A.
% 1.74/1.91 ** KEPT (pick-wt=5): 28 [] add(additive_identity,A)=A.
% 1.74/1.91 ---> New Demodulator: 29 [new_demod,28] add(additive_identity,A)=A.
% 1.74/1.91 Following clause subsumed by 1 during input processing: 0 [copy,1,flip.1] A=A.
% 2.74/2.97 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] add(A,B)=add(B,A).
% 2.74/2.97 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] multiply(A,B)=multiply(B,A).
% 2.74/2.97 >>>> Starting back demodulation with 6.
% 2.74/2.97 >>>> Starting back demodulation with 9.
% 2.74/2.97 >>>> Starting back demodulation with 11.
% 2.74/2.97 >> back demodulating 8 with 11.
% 2.74/2.97 >> back demodulating 5 with 11.
% 2.74/2.97 >>>> Starting back demodulation with 13.
% 2.74/2.97 >>>> Starting back demodulation with 15.
% 2.74/2.97 >>>> Starting back demodulation with 17.
% 2.74/2.97 >>>> Starting back demodulation with 19.
% 2.74/2.97 >>>> Starting back demodulation with 21.
% 2.74/2.97 >>>> Starting back demodulation with 23.
% 2.74/2.97 >>>> Starting back demodulation with 25.
% 2.74/2.97 >>>> Starting back demodulation with 27.
% 2.74/2.97 >>>> Starting back demodulation with 29.
% 2.74/2.97 >>>> Starting back demodulation with 31.
% 2.74/2.97 >>>> Starting back demodulation with 33.
% 2.74/2.97
% 2.74/2.97 ======= end of input processing =======
% 2.74/2.97
% 2.74/2.97 =========== start of search ===========
% 2.74/2.97
% 2.74/2.97
% 2.74/2.97 Resetting weight limit to 11.
% 2.74/2.97
% 2.74/2.97
% 2.74/2.97 Resetting weight limit to 11.
% 2.74/2.97
% 2.74/2.97 sos_size=375
% 2.74/2.97
% 2.74/2.97
% 2.74/2.97 Resetting weight limit to 10.
% 2.74/2.97
% 2.74/2.97
% 2.74/2.97 Resetting weight limit to 10.
% 2.74/2.97
% 2.74/2.97 sos_size=337
% 2.74/2.97
% 2.74/2.97 Search stopped because sos empty.
% 2.74/2.97
% 2.74/2.97
% 2.74/2.97 Search stopped because sos empty.
% 2.74/2.97
% 2.74/2.97 ============ end of search ============
% 2.74/2.97
% 2.74/2.97 list(usable).
% 2.74/2.97 1 [] A=A.
% 2.74/2.97 22 [] multiply(A,multiplicative_identity)=A.
% 2.74/2.97 24 [] multiply(multiplicative_identity,A)=A.
% 2.74/2.97 26 [] add(A,additive_identity)=A.
% 2.74/2.97 28 [] add(additive_identity,A)=A.
% 2.74/2.97 2 [] add(A,B)=add(B,A).
% 2.74/2.97 14 [] add(A,inverse(A))=multiplicative_identity.
% 2.74/2.97 34 [para_into,14.1.1,28.1.1] inverse(additive_identity)=multiplicative_identity.
% 2.74/2.97 16 [] add(inverse(A),A)=multiplicative_identity.
% 2.74/2.97 18 [] multiply(A,inverse(A))=additive_identity.
% 2.74/2.97 3 [] multiply(A,B)=multiply(B,A).
% 2.74/2.97 36 [para_into,18.1.1,24.1.1] inverse(multiplicative_identity)=additive_identity.
% 2.74/2.97 20 [] multiply(inverse(A),A)=additive_identity.
% 2.74/2.97 10 [] multiply(add(A,B),C)=add(multiply(A,C),multiply(B,C)).
% 2.74/2.97 42 [para_into,10.1.1.1,16.1.1,demod,25,flip.1] add(multiply(inverse(A),B),multiply(A,B))=B.
% 2.74/2.97 12 [] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 2.74/2.97 54 [para_into,42.1.1.1,20.1.1,demod,29] multiply(A,A)=A.
% 2.74/2.97 110 [para_into,60.1.1,3.1.1,demod,57] inverse(inverse(A))=A.
% 2.74/2.97 116 [para_into,38.1.1.2,20.1.1,demod,27,21] multiply(additive_identity,A)=additive_identity.
% 2.74/2.97 118 [para_into,116.1.1,3.1.1] multiply(A,additive_identity)=additive_identity.
% 2.74/2.97 44 [para_into,10.1.1.1,14.1.1,demod,25,flip.1] add(multiply(A,B),multiply(inverse(A),B))=B.
% 2.74/2.97 58 [para_into,42.1.1.1,3.1.1] add(multiply(A,inverse(B)),multiply(B,A))=A.
% 2.74/2.97 64 [para_into,42.1.1.2,3.1.1] add(multiply(inverse(A),B),multiply(B,A))=B.
% 2.74/2.97 78 [para_into,12.1.1.2,16.1.1,demod,23,flip.1] add(multiply(A,inverse(B)),multiply(A,B))=A.
% 2.74/2.97 80 [para_into,12.1.1.2,14.1.1,demod,23,flip.1] add(multiply(A,B),multiply(A,inverse(B)))=A.
% 2.74/2.97 48 [para_into,10.1.1,3.1.1,demod,13] add(multiply(A,B),multiply(A,C))=add(multiply(B,A),multiply(C,A)).
% 2.74/2.97 124 [para_into,44.1.1.1,3.1.1] add(multiply(A,B),multiply(inverse(B),A))=A.
% 2.74/2.97 126 [para_into,44.1.1.2,3.1.1] add(multiply(A,B),multiply(B,inverse(A)))=B.
% 2.74/2.97 49 [copy,48,flip.1] add(multiply(A,B),multiply(C,B))=add(multiply(B,A),multiply(B,C)).
% 2.74/2.97 421 [para_into,66.1.1.1.2,54.1.1,demod,407,407,407] add(A,A)=A.
% 2.74/2.97 500 [para_from,450.1.1,110.1.1.1,demod,35,flip.1] add(multiplicative_identity,A)=multiplicative_identity.
% 2.74/2.97 502 [para_into,500.1.1,2.1.1] add(A,multiplicative_identity)=multiplicative_identity.
% 2.74/2.97 70 [para_from,42.1.1,10.1.1.1,flip.1] add(multiply(multiply(inverse(A),B),C),multiply(multiply(A,B),C))=multiply(B,C).
% 2.74/2.97 406 [para_into,66.1.1.1.1,118.1.1,demod,119,27,29,119,29] add(multiply(A,B),B)=B.
% 2.74/2.97 408 [para_into,66.1.1.1.1,116.1.1,demod,29,117,29,117,29] add(multiply(A,B),A)=A.
% 2.74/2.97 470 [back_demod,257,demod,407,flip.1] add(A,multiply(A,B))=A.
% 2.74/2.97 488 [back_demod,243,demod,409] add(A,multiply(B,A))=A.
% 2.74/2.97 72 [para_into,12.1.1.2,42.1.1,flip.1] add(multiply(A,multiply(inverse(B),C)),multiply(A,multiply(B,C)))=multiply(A,C).
% 2.74/2.97 466 [back_demod,280,demod,409,407,19,27] multiply(multiply(A,B),inverse(B))=additive_identity.
% 2.74/2.97 468 [back_demod,260,demod,407,409,19,27] multiply(multiply(A,B),inverse(A))=additive_identity.
% 2.74/2.97 588 [para_into,466.1.1.2,110.1.1] multiply(multiply(A,inverse(B)),B)=additive_identity.
% 2.74/2.97 590 [para_into,466.1.1,3.1.1] multiply(inverse(A),multiply(B,A))=additive_identity.
% 2.74/2.97 606 [para_into,468.1.1.2,110.1.1] multiply(multiply(inverse(A),B),A)=additive_identity.
% 2.74/2.97 608 [para_into,468.1.1,3.1.1] multiply(inverse(A),multiply(A,B))=additive_identity.
% 2.74/2.97 630 [para_into,588.1.1,3.1.1] multiply(A,multiply(B,inverse(A)))=additive_identity.
% 2.74/2.97 680 [para_into,606.1.1,3.1.1] multiply(A,multiply(inverse(A),B))=additive_identity.
% 2.74/2.97 84 [para_into,12.1.1,10.1.1,demod,13,13,11,11] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 414 [para_into,66.1.1.1.1,22.1.1,demod,23,407,23] add(add(A,B),B)=add(A,B).
% 2.74/2.97 85 [copy,84,flip.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 514 [para_into,70.1.1.2,54.1.1,demod,407,flip.1] multiply(A,multiply(B,A))=multiply(B,A).
% 2.74/2.97 574 [para_into,72.1.1.2,54.1.1,demod,409,flip.1] multiply(multiply(A,B),B)=multiply(A,B).
% 2.74/2.97 610 [para_from,468.1.1,126.1.1.2,demod,27] multiply(A,multiply(A,B))=multiply(A,B).
% 2.74/2.97 86 [para_from,12.1.1,42.1.1.1,demod,13] add(add(multiply(inverse(A),B),multiply(inverse(A),C)),add(multiply(A,B),multiply(A,C)))=add(B,C).
% 2.74/2.97 614 [para_from,468.1.1,70.1.1.1,demod,111,29,111] multiply(multiply(A,B),A)=multiply(B,A).
% 2.74/2.97 120 [para_into,44.1.1.1,12.1.1,demod,13] add(add(multiply(A,B),multiply(A,C)),add(multiply(inverse(A),B),multiply(inverse(A),C)))=add(B,C).
% 2.74/2.97 880 [para_into,414.1.1.1,2.1.1] add(add(A,B),A)=add(B,A).
% 2.74/2.97 882 [para_into,414.1.1,2.1.1] add(A,add(B,A))=add(B,A).
% 2.74/2.97 1123 [para_into,1115.1.1,2.1.1,flip.1] add(A,add(A,B))=add(A,B).
% 2.74/2.97 438 [para_into,66.1.1.1,42.1.1,demod,21,29,flip.1] add(multiply(inverse(A),B),A)=add(B,A).
% 2.74/2.97 128 [para_from,44.1.1,10.1.1.1,flip.1] add(multiply(multiply(A,B),C),multiply(multiply(inverse(A),B),C))=multiply(B,C).
% 2.74/2.97 130 [para_from,44.1.1,12.1.1.2,flip.1] add(multiply(A,multiply(B,C)),multiply(A,multiply(inverse(B),C)))=multiply(A,C).
% 2.74/2.97 154 [para_into,58.1.1.1,10.1.1,demod,13] add(add(multiply(A,inverse(B)),multiply(C,inverse(B))),add(multiply(B,A),multiply(B,C)))=add(A,C).
% 2.74/2.97 767 [para_into,84.1.1.1,126.1.1,demod,81,55,489,19,29,flip.1] add(A,multiply(B,inverse(A)))=add(A,B).
% 2.74/2.97 774 [para_into,84.1.1.1,58.1.1,demod,79,19,29,55,489,flip.1] add(multiply(A,inverse(B)),B)=add(B,A).
% 2.74/2.97 1016 [para_into,85.1.1.1,124.1.1,demod,45,55,471,21,29,flip.1] add(A,multiply(inverse(A),B))=add(A,B).
% 2.74/2.97 160 [para_from,58.1.1,10.1.1.1,flip.1] add(multiply(multiply(A,inverse(B)),C),multiply(multiply(B,A),C))=multiply(A,C).
% 2.74/2.97 162 [para_from,58.1.1,12.1.1.2,flip.1] add(multiply(A,multiply(B,inverse(C))),multiply(A,multiply(C,B)))=multiply(A,B).
% 2.74/2.97 436 [para_into,66.1.1.1,44.1.1,demod,19,29,flip.1] add(multiply(A,B),inverse(A))=add(B,inverse(A)).
% 2.74/2.97 520 [back_demod,496,demod,515] add(multiply(A,B),multiply(B,A))=multiply(A,B).
% 2.74/2.97 164 [para_into,64.1.1.1,12.1.1,demod,11] add(add(multiply(inverse(A),B),multiply(inverse(A),C)),add(multiply(B,A),multiply(C,A)))=add(B,C).
% 2.74/2.97 532 [para_into,406.1.1.1,10.1.1] add(add(multiply(A,B),multiply(C,B)),B)=B.
% 2.74/2.97 542 [back_demod,360,demod,533,flip.1] add(A,add(multiply(A,B),multiply(A,C)))=A.
% 2.74/2.97 544 [back_demod,255,demod,533,flip.1] add(add(multiply(A,B),multiply(A,C)),A)=A.
% 2.74/2.97 548 [back_demod,241,demod,543] add(A,add(multiply(B,A),multiply(C,A)))=A.
% 2.74/2.97 772 [para_into,84.1.1.1,64.1.1,demod,79,55,489,21,29,flip.1] add(inverse(A),multiply(B,A))=add(inverse(A),B).
% 2.74/2.97 817 [para_into,84.1.1.2,124.1.1,demod,81,21,27,55,407,flip.1] add(multiply(A,B),inverse(B))=add(A,inverse(B)).
% 2.74/2.97 851 [back_demod,493,demod,811] add(multiply(A,B),C)=add(multiply(B,A),C).
% 2.74/2.97 170 [para_from,64.1.1,10.1.1.1,flip.1] add(multiply(multiply(inverse(A),B),C),multiply(multiply(B,A),C))=multiply(B,C).
% 2.74/2.97 172 [para_from,64.1.1,12.1.1.2,flip.1] add(multiply(A,multiply(inverse(B),C)),multiply(A,multiply(C,B)))=multiply(A,C).
% 2.74/2.97 1018 [para_into,85.1.1.1,58.1.1,demod,43,55,471,19,29,flip.1] add(inverse(A),multiply(A,B))=add(inverse(A),B).
% 2.74/2.97 1108 [para_into,614.1.1.1,614.1.1,demod,611] multiply(multiply(A,B),multiply(B,A))=multiply(B,A).
% 2.74/2.97 174 [para_into,78.1.1.1,10.1.1,demod,11] add(add(multiply(A,inverse(B)),multiply(C,inverse(B))),add(multiply(A,B),multiply(C,B)))=add(A,C).
% 2.74/2.97 1120 [para_into,1115.1.1,1114.1.1,demod,881,flip.1] add(add(A,B),add(B,A))=add(B,A).
% 2.74/2.97 180 [para_from,78.1.1,10.1.1.1,flip.1] add(multiply(multiply(A,inverse(B)),C),multiply(multiply(A,B),C))=multiply(A,C).
% 2.74/2.97 182 [para_from,78.1.1,12.1.1.2,flip.1] add(multiply(A,multiply(B,inverse(C))),multiply(A,multiply(B,C)))=multiply(A,B).
% 2.74/2.97 1169 [para_from,1110.1.1,120.1.1.2.2,demod,1109,1102,27,1017] add(multiply(A,B),C)=add(C,multiply(B,A)).
% 2.74/2.97 1170 [para_from,1110.1.1,86.1.1.1.2,demod,27,1109,1102,439] add(A,multiply(B,C))=add(A,multiply(C,B)).
% 2.74/2.97 1171 [para_from,1110.1.1,86.1.1.1.1,demod,29,1109,1107,439] add(A,multiply(B,C))=add(multiply(C,B),A).
% 2.74/2.97 1172 [para_into,160.1.1.2.1,1110.1.1,demod,111,1109,117,27] multiply(multiply(A,B),C)=multiply(multiply(B,A),C).
% 2.74/2.97 1173 [para_into,162.1.1.2.2,1110.1.1,demod,111,1109,119,27] multiply(A,multiply(B,C))=multiply(A,multiply(C,B)).
% 2.74/2.97 1178 [para_into,532.1.1.1.1,3.1.1] add(add(multiply(A,B),multiply(C,A)),A)=A.
% 2.74/2.97 186 [para_into,80.1.1.1,10.1.1,demod,11] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,inverse(B)),multiply(C,inverse(B))))=add(A,C).
% 2.74/2.97 1180 [para_into,532.1.1.1.2,3.1.1] add(add(multiply(A,B),multiply(B,C)),B)=B.
% 2.74/2.97 1182 [para_into,542.1.1.2.1,514.1.1] add(A,add(multiply(B,A),multiply(A,C)))=A.
% 2.74/2.97 1184 [para_into,542.1.1.2.2,514.1.1] add(A,add(multiply(A,B),multiply(C,A)))=A.
% 2.74/2.97 190 [para_from,80.1.1,10.1.1.1,flip.1] add(multiply(multiply(A,B),C),multiply(multiply(A,inverse(B)),C))=multiply(A,C).
% 2.74/2.97 192 [para_from,80.1.1,12.1.1.2,flip.1] add(multiply(A,multiply(B,C)),multiply(A,multiply(B,inverse(C))))=multiply(A,B).
% 2.74/2.97 195 [para_into,48.1.1.1,12.1.1,demod,11] add(add(multiply(A,B),multiply(A,C)),multiply(A,D))=add(add(multiply(B,A),multiply(C,A)),multiply(D,A)).
% 2.74/2.97 1220 [para_from,1214.1.1,767.1.1.2,demod,27,flip.1] add(add(A,B),multiply(A,B))=add(A,B).
% 2.74/2.97 1222 [para_from,1214.1.1,817.1.1.1,demod,111,29,111,flip.1] add(multiply(A,B),add(A,B))=add(A,B).
% 2.74/2.97 196 [para_into,48.1.1.1,10.1.1,demod,11,13,13] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(B,A),multiply(B,C)),add(multiply(D,A),multiply(D,C))).
% 2.74/2.97 1232 [para_into,1172.1.1,3.1.1] multiply(A,multiply(B,C))=multiply(multiply(C,B),A).
% 2.74/2.97 199 [para_into,48.1.1.2,12.1.1,demod,11] add(multiply(A,B),add(multiply(A,C),multiply(A,D)))=add(multiply(B,A),add(multiply(C,A),multiply(D,A))).
% 2.74/2.97 1233 [copy,1232,flip.1] multiply(multiply(A,B),C)=multiply(C,multiply(B,A)).
% 2.74/2.97 201 [para_into,48.1.1,2.1.1] add(multiply(A,B),multiply(A,C))=add(multiply(C,A),multiply(B,A)).
% 2.74/2.97 1242 [para_into,930.1.1.1.1,680.1.1,demod,35,25] multiply(A,multiply(B,multiply(inverse(A),C)))=additive_identity.
% 2.74/2.97 1302 [para_from,1242.1.1,1016.1.1.2,demod,27,111,flip.1] add(A,multiply(B,multiply(A,C)))=A.
% 2.74/2.97 203 [copy,195,flip.1] add(add(multiply(A,B),multiply(C,B)),multiply(D,B))=add(add(multiply(B,A),multiply(B,C)),multiply(B,D)).
% 2.74/2.97 1304 [para_from,1242.1.1,438.1.1.1,demod,29,111,flip.1] add(multiply(A,multiply(B,C)),B)=B.
% 2.74/2.97 1306 [para_into,1302.1.1.2.2,514.1.1] add(A,multiply(B,multiply(C,A)))=A.
% 2.74/2.97 1308 [para_into,1302.1.1.2,1232.1.1] add(A,multiply(multiply(B,A),C))=A.
% 2.74/2.97 1310 [para_into,1302.1.1.2,3.1.1] add(A,multiply(multiply(A,B),C))=A.
% 2.74/2.97 204 [copy,196,flip.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(B,A),multiply(C,A)),add(multiply(B,D),multiply(C,D))).
% 2.74/2.97 1312 [para_into,1302.1.1,1171.1.1] add(multiply(multiply(A,B),C),A)=A.
% 2.74/2.97 1316 [para_into,1304.1.1.1.2,514.1.1] add(multiply(A,multiply(B,C)),C)=C.
% 2.74/2.97 1318 [para_into,1304.1.1.1,1232.1.1] add(multiply(multiply(A,B),C),B)=B.
% 2.74/2.97 1244 [para_into,930.1.1.1.1,630.1.1,demod,35,25] multiply(A,multiply(B,multiply(C,inverse(A))))=additive_identity.
% 2.74/2.97 207 [copy,199,flip.1] add(multiply(A,B),add(multiply(C,B),multiply(D,B)))=add(multiply(B,A),add(multiply(B,C),multiply(B,D))).
% 2.74/2.97 1246 [para_into,930.1.1.1.1,608.1.1,demod,35,25] multiply(inverse(A),multiply(B,multiply(A,C)))=additive_identity.
% 2.74/2.97 1248 [para_into,930.1.1.1.1,606.1.1,demod,35,25] multiply(multiply(inverse(A),B),multiply(C,A))=additive_identity.
% 2.74/2.97 1250 [para_into,930.1.1.1.1,590.1.1,demod,35,25] multiply(inverse(A),multiply(B,multiply(C,A)))=additive_identity.
% 2.74/2.97 1252 [para_into,930.1.1.1.1,588.1.1,demod,35,25] multiply(multiply(A,inverse(B)),multiply(C,B))=additive_identity.
% 2.74/2.97 209 [copy,201,flip.1] add(multiply(A,B),multiply(C,B))=add(multiply(B,C),multiply(B,A)).
% 2.74/2.97 1254 [para_into,930.1.1.1.1,468.1.1,demod,35,25] multiply(multiply(A,B),multiply(C,inverse(A)))=additive_identity.
% 2.74/2.97 1256 [para_into,930.1.1.1.1,466.1.1,demod,35,25] multiply(multiply(A,B),multiply(C,inverse(B)))=additive_identity.
% 2.74/2.97 214 [para_from,48.1.1,10.1.1.1,demod,11] add(multiply(multiply(A,B),C),multiply(multiply(D,B),C))=add(multiply(multiply(B,A),C),multiply(multiply(B,D),C)).
% 2.74/2.97 215 [para_from,48.1.1,12.1.1.2,demod,13] add(multiply(A,multiply(B,C)),multiply(A,multiply(D,C)))=add(multiply(A,multiply(C,B)),multiply(A,multiply(C,D))).
% 2.74/2.97 216 [copy,214,flip.1] add(multiply(multiply(A,B),C),multiply(multiply(A,D),C))=add(multiply(multiply(B,A),C),multiply(multiply(D,A),C)).
% 2.74/2.97 1294 [para_into,1242.1.1.2,1232.1.1] multiply(A,multiply(multiply(B,inverse(A)),C))=additive_identity.
% 2.74/2.97 1296 [para_into,1242.1.1.2,3.1.1] multiply(A,multiply(multiply(inverse(A),B),C))=additive_identity.
% 2.74/2.97 217 [copy,215,flip.1] add(multiply(A,multiply(B,C)),multiply(A,multiply(B,D)))=add(multiply(A,multiply(C,B)),multiply(A,multiply(D,B))).
% 2.74/2.97 1298 [para_into,1242.1.1,1232.1.1] multiply(multiply(multiply(inverse(A),B),C),A)=additive_identity.
% 2.74/2.97 1300 [para_into,1242.1.1,3.1.1] multiply(multiply(A,multiply(inverse(B),C)),B)=additive_identity.
% 2.74/2.97 1314 [para_from,1302.1.1,878.1.1.2.1] multiply(multiply(A,multiply(B,C)),inverse(B))=additive_identity.
% 2.74/2.97 1320 [para_from,1306.1.1,878.1.1.2.1] multiply(multiply(A,multiply(B,C)),inverse(C))=additive_identity.
% 2.74/2.97 1322 [para_from,1308.1.1,878.1.1.2.1] multiply(multiply(multiply(A,B),C),inverse(B))=additive_identity.
% 2.74/2.97 1324 [para_from,1308.1.1,874.1.1.1.1] multiply(inverse(A),multiply(multiply(B,A),C))=additive_identity.
% 2.74/2.97 1326 [para_from,1310.1.1,878.1.1.2.1] multiply(multiply(multiply(A,B),C),inverse(A))=additive_identity.
% 2.74/2.97 1328 [para_from,1310.1.1,874.1.1.1.1] multiply(inverse(A),multiply(multiply(A,B),C))=additive_identity.
% 2.74/2.97 220 [para_into,124.1.1.1,10.1.1,demod,13] add(add(multiply(A,B),multiply(C,B)),add(multiply(inverse(B),A),multiply(inverse(B),C)))=add(A,C).
% 2.74/2.97 1330 [para_into,1244.1.1,1232.1.1] multiply(multiply(multiply(A,inverse(B)),C),B)=additive_identity.
% 2.74/2.97 1332 [para_into,1244.1.1,3.1.1] multiply(multiply(A,multiply(B,inverse(C))),C)=additive_identity.
% 2.74/2.97 1334 [para_into,1248.1.1.2,3.1.1] multiply(multiply(inverse(A),B),multiply(A,C))=additive_identity.
% 2.74/2.97 1336 [para_into,1248.1.1,1232.1.1] multiply(multiply(A,B),multiply(inverse(A),C))=additive_identity.
% 2.74/2.97 224 [para_from,124.1.1,10.1.1.1,flip.1] add(multiply(multiply(A,B),C),multiply(multiply(inverse(B),A),C))=multiply(A,C).
% 2.74/2.97 1338 [para_into,1248.1.1,3.1.1] multiply(multiply(A,B),multiply(inverse(B),C))=additive_identity.
% 2.74/2.97 1340 [para_into,1252.1.1.2,3.1.1] multiply(multiply(A,inverse(B)),multiply(B,C))=additive_identity.
% 2.74/2.97 226 [para_from,124.1.1,12.1.1.2,flip.1] add(multiply(A,multiply(B,C)),multiply(A,multiply(inverse(C),B)))=multiply(A,B).
% 2.74/2.97 1290 [para_from,1236.1.1,1016.1.1.2,demod,27,flip.1] add(add(A,B),multiply(C,A))=add(A,B).
% 2.74/2.97 1292 [para_from,1236.1.1,438.1.1.1,demod,29,flip.1] add(multiply(A,B),add(B,C))=add(B,C).
% 2.74/2.97 228 [para_into,126.1.1.1,12.1.1,demod,11] add(add(multiply(A,B),multiply(A,C)),add(multiply(B,inverse(A)),multiply(C,inverse(A))))=add(B,C).
% 2.74/2.97 1344 [para_from,945.1.1,767.1.1.2,demod,15,flip.1] add(add(A,B),inverse(B))=multiplicative_identity.
% 2.74/2.97 1352 [para_from,945.1.1,817.1.1.1,demod,111,17,111,flip.1] add(inverse(A),add(B,A))=multiplicative_identity.
% 2.74/2.97 1366 [para_into,1344.1.1.1,1210.1.1,demod,111] add(A,add(B,inverse(A)))=multiplicative_identity.
% 2.74/2.97 1368 [para_into,1344.1.1.1,1208.1.1,demod,111] add(A,add(inverse(A),B))=multiplicative_identity.
% 2.74/2.97 1372 [para_into,1344.1.1.1,1157.1.1,demod,111] add(inverse(A),add(A,B))=multiplicative_identity.
% 2.74/2.97 1374 [para_into,1344.1.1.1,817.1.1,demod,111] add(add(A,inverse(B)),B)=multiplicative_identity.
% 2.74/2.97 234 [para_from,126.1.1,10.1.1.1,flip.1] add(multiply(multiply(A,B),C),multiply(multiply(B,inverse(A)),C))=multiply(B,C).
% 2.74/2.97 1376 [para_into,1344.1.1.1,774.1.1] add(add(A,B),inverse(A))=multiplicative_identity.
% 2.74/2.97 1390 [para_into,1352.1.1.2,1208.1.1,demod,111] add(add(inverse(A),B),A)=multiplicative_identity.
% 2.74/2.97 236 [para_from,126.1.1,12.1.1.2,flip.1] add(multiply(A,multiply(B,C)),multiply(A,multiply(C,inverse(B))))=multiply(A,C).
% 2.74/2.97 1422 [para_into,1402.1.1.1.1.1,945.1.1,demod,111] add(add(add(A,B),C),inverse(B))=multiplicative_identity.
% 2.74/2.97 1424 [para_into,1406.1.1.2.1,945.1.1,demod,111] add(add(inverse(A),B),add(C,A))=multiplicative_identity.
% 2.74/2.97 1426 [para_into,1408.1.1.2.1.1,945.1.1,demod,111] add(inverse(A),add(add(B,A),C))=multiplicative_identity.
% 2.74/2.97 1432 [para_into,1412.1.1.1.1,945.1.1,demod,111] add(add(A,B),add(inverse(B),C))=multiplicative_identity.
% 2.74/2.97 1436 [para_into,1416.1.1.1.2.1,945.1.1,demod,111] add(add(A,add(B,C)),inverse(C))=multiplicative_identity.
% 2.74/2.97 1438 [para_into,1420.1.1.2.1,945.1.1,demod,111] add(add(A,inverse(B)),add(C,B))=multiplicative_identity.
% 2.74/2.97 1440 [para_into,1422.1.1.1.1,1210.1.1,demod,111] add(add(A,B),add(C,inverse(A)))=multiplicative_identity.
% 2.74/2.97 1442 [para_into,1422.1.1.1.1,1208.1.1,demod,111] add(add(A,B),add(inverse(A),C))=multiplicative_identity.
% 2.74/2.97 1444 [para_into,1422.1.1.1.1,1157.1.1,demod,111] add(add(inverse(A),B),add(A,C))=multiplicative_identity.
% 2.74/2.97 1446 [para_into,1422.1.1.1.1,817.1.1,demod,111] add(add(add(A,inverse(B)),C),B)=multiplicative_identity.
% 2.74/2.97 1448 [para_into,1422.1.1.1.1,774.1.1] add(add(add(A,B),C),inverse(A))=multiplicative_identity.
% 2.74/2.97 1450 [para_into,1424.1.1.1,1188.1.1] add(A,add(B,add(C,inverse(A))))=multiplicative_identity.
% 2.74/2.97 1452 [para_into,1424.1.1.1,1186.1.1] add(A,add(B,add(inverse(A),C)))=multiplicative_identity.
% 2.74/2.97 1454 [para_into,1424.1.1.1,1153.1.1] add(inverse(A),add(B,add(C,A)))=multiplicative_identity.
% 2.74/2.97 416 [para_into,66.1.1.1.1,12.1.1,demod,13,407,13] add(add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C))),D)=add(add(multiply(A,B),multiply(A,C)),D).
% 2.74/2.97 1456 [para_into,1424.1.1.1,1149.1.1] add(inverse(A),add(B,add(A,C)))=multiplicative_identity.
% 2.74/2.97 1458 [para_into,1424.1.1.2,1208.1.1,demod,111] add(add(add(inverse(A),B),C),A)=multiplicative_identity.
% 2.74/2.97 1460 [para_into,1426.1.1.1,110.1.1] add(A,add(add(B,inverse(A)),C))=multiplicative_identity.
% 2.74/2.97 1462 [para_into,1426.1.1.2.1,1210.1.1,demod,111] add(add(A,inverse(B)),add(B,C))=multiplicative_identity.
% 2.74/2.97 420 [para_into,66.1.1.1.1,3.1.1,demod,407] add(add(multiply(A,B),multiply(C,A)),C)=add(multiply(B,A),C).
% 2.74/2.97 1464 [para_into,1426.1.1.2.1,774.1.1] add(inverse(A),add(add(A,B),C))=multiplicative_identity.
% 2.74/2.97 1466 [para_into,1432.1.1.1,1208.1.1,demod,111] add(A,add(add(inverse(A),B),C))=multiplicative_identity.
% 2.74/2.97 1468 [para_into,1432.1.1.2,1188.1.1] add(add(A,add(B,inverse(C))),C)=multiplicative_identity.
% 2.74/2.97 1470 [para_into,1432.1.1.2,1186.1.1] add(add(A,add(inverse(B),C)),B)=multiplicative_identity.
% 2.74/2.97 427 [para_into,66.1.1.1.2,3.1.1,demod,407] add(add(multiply(A,B),multiply(B,C)),C)=add(multiply(A,B),C).
% 2.74/2.97 1472 [para_into,1432.1.1.2,1149.1.1] add(add(A,add(B,C)),inverse(B))=multiplicative_identity.
% 2.74/2.97 1474 [para_into,1432.1.1.2,882.1.1] add(add(A,B),add(C,inverse(B)))=multiplicative_identity.
% 2.74/2.97 440 [para_into,66.1.1.1,2.1.1,demod,407] add(add(multiply(A,B),multiply(C,B)),A)=add(multiply(C,B),A).
% 2.74/2.97 442 [para_into,66.1.1.2.1,3.1.1,demod,409] add(add(multiply(A,B),multiply(C,B)),C)=add(multiply(A,B),C).
% 2.74/2.97 550 [para_from,406.1.1,10.1.1.1,flip.1] add(multiply(multiply(A,B),C),multiply(B,C))=multiply(B,C).
% 2.74/2.97 552 [para_from,406.1.1,12.1.1.2,flip.1] add(multiply(A,multiply(B,C)),multiply(A,C))=multiply(A,C).
% 2.74/2.97 554 [back_demod,370,demod,551] add(multiply(A,B),multiply(multiply(A,C),B))=multiply(A,B).
% 2.74/2.97 448 [para_into,66.1.1,2.1.1,demod,407] add(A,add(multiply(B,C),multiply(A,C)))=add(multiply(B,C),A).
% 2.74/2.97 556 [back_demod,264,demod,551] add(multiply(multiply(A,B),C),multiply(A,C))=multiply(A,C).
% 2.74/2.97 558 [back_demod,371,demod,553] add(multiply(A,B),multiply(A,multiply(B,C)))=multiply(A,B).
% 2.74/2.97 560 [back_demod,265,demod,553] add(multiply(A,multiply(B,C)),multiply(A,B))=multiply(A,B).
% 2.74/2.97 562 [back_demod,250,demod,555,flip.1] add(multiply(A,B),multiply(multiply(C,A),B))=multiply(A,B).
% 2.74/2.97 490 [copy,420,flip.1] add(multiply(A,B),C)=add(add(multiply(B,A),multiply(C,B)),C).
% 2.74/2.97 564 [back_demod,251,demod,559,flip.1] add(multiply(A,B),multiply(A,multiply(C,B)))=multiply(A,B).
% 2.74/2.97 498 [back_demod,68,demod,489] add(A,add(multiply(A,B),multiply(C,B)))=add(A,multiply(C,B)).
% 2.74/2.97 1071 [para_from,514.1.1,70.1.1.2,demod,407,flip.1] multiply(A,multiply(B,multiply(C,A)))=multiply(B,multiply(C,A)).
% 2.74/2.97 1081 [para_from,574.1.1,72.1.1.2,demod,409,flip.1] multiply(multiply(A,multiply(B,C)),C)=multiply(A,multiply(B,C)).
% 2.74/2.97 1099 [para_from,610.1.1,70.1.1.2,demod,407,flip.1] multiply(A,multiply(multiply(B,A),C))=multiply(multiply(B,A),C).
% 2.74/2.97 504 [para_into,70.1.1.1.1,12.1.1,demod,11,13,11,11] add(add(multiply(multiply(inverse(A),B),C),multiply(multiply(inverse(A),D),C)),add(multiply(multiply(A,B),C),multiply(multiply(A,D),C)))=add(multiply(B,C),multiply(D,C)).
% 2.74/2.97 1101 [para_from,610.1.1,49.1.1.2,demod,407,615,flip.1] add(multiply(multiply(A,B),C),multiply(B,A))=multiply(A,B).
% 2.74/2.97 1106 [para_from,610.1.1,49.1.1.1,demod,489,615,flip.1] add(multiply(A,B),multiply(multiply(B,A),C))=multiply(B,A).
% 2.74/2.97 510 [para_into,70.1.1.1,12.1.1,demod,13,13] add(add(multiply(multiply(inverse(A),B),C),multiply(multiply(inverse(A),B),D)),add(multiply(multiply(A,B),C),multiply(multiply(A,B),D)))=add(multiply(B,C),multiply(B,D)).
% 2.74/2.97 512 [para_into,70.1.1.1,3.1.1] add(multiply(A,multiply(inverse(B),C)),multiply(multiply(B,C),A))=multiply(C,A).
% 2.74/2.97 530 [para_into,406.1.1.1,12.1.1] add(add(multiply(A,B),multiply(A,C)),add(B,C))=add(B,C).
% 2.74/2.97 536 [back_demod,361,demod,531,flip.1] add(add(A,B),add(multiply(A,C),multiply(B,C)))=add(A,B).
% 2.74/2.97 518 [para_into,70.1.1.2,3.1.1] add(multiply(multiply(inverse(A),B),C),multiply(C,multiply(A,B)))=multiply(B,C).
% 2.74/2.97 538 [back_demod,256,demod,531,flip.1] add(add(multiply(A,B),multiply(C,B)),add(A,C))=add(A,C).
% 2.74/2.97 546 [back_demod,242,demod,537] add(add(A,B),add(multiply(C,A),multiply(C,B)))=add(A,B).
% 2.74/2.97 526 [para_from,70.1.1,10.1.1.1,flip.1] add(multiply(multiply(multiply(inverse(A),B),C),D),multiply(multiply(multiply(A,B),C),D))=multiply(multiply(B,C),D).
% 2.74/2.97 732 [para_into,84.1.1.1.1,54.1.1,demod,471,55,489,499] add(A,add(multiply(B,A),multiply(B,C)))=add(A,multiply(B,C)).
% 2.74/2.97 755 [para_into,84.1.1.1.2,54.1.1,demod,409,55,489,441] add(A,add(multiply(B,C),multiply(B,A)))=add(multiply(B,C),A).
% 2.74/2.97 528 [para_from,70.1.1,12.1.1.2,flip.1] add(multiply(A,multiply(multiply(inverse(B),C),D)),multiply(A,multiply(multiply(B,C),D)))=multiply(A,multiply(C,D)).
% 2.74/2.97 794 [para_into,84.1.1.2.1,54.1.1,demod,471,55,407,449] add(add(multiply(A,B),multiply(A,C)),B)=add(multiply(A,C),B).
% 2.74/2.97 810 [para_into,84.1.1.2.2,54.1.1,demod,409,55,407,443] add(add(multiply(A,B),multiply(A,C)),C)=add(multiply(A,B),C).
% 2.74/2.97 534 [back_demod,425,demod,531] add(add(multiply(A,B),add(multiply(C,B),multiply(D,B))),add(C,D))=add(multiply(A,B),add(C,D)).
% 2.74/2.97 540 [back_demod,418,demod,533] add(add(add(multiply(A,B),multiply(C,B)),multiply(D,B)),D)=add(add(multiply(A,B),multiply(C,B)),D).
% 2.74/2.97 566 [para_into,72.1.1.1.2,12.1.1,demod,13,13,13,13] add(add(multiply(A,multiply(inverse(B),C)),multiply(A,multiply(inverse(B),D))),add(multiply(A,multiply(B,C)),multiply(A,multiply(B,D))))=add(multiply(A,C),multiply(A,D)).
% 2.74/2.97 572 [para_into,72.1.1.1,10.1.1,demod,11,11] add(add(multiply(A,multiply(inverse(B),C)),multiply(D,multiply(inverse(B),C))),add(multiply(A,multiply(B,C)),multiply(D,multiply(B,C))))=add(multiply(A,C),multiply(D,C)).
% 2.74/2.97 582 [para_from,72.1.1,10.1.1.1,flip.1] add(multiply(multiply(A,multiply(inverse(B),C)),D),multiply(multiply(A,multiply(B,C)),D))=multiply(multiply(A,C),D).
% 2.74/2.97 876 [para_into,414.1.1.1,49.1.1] add(add(multiply(A,B),multiply(A,C)),multiply(C,A))=add(multiply(B,A),multiply(C,A)).
% 2.74/2.97 877 [para_into,414.1.1.1,48.1.1] add(add(multiply(A,B),multiply(C,B)),multiply(B,C))=add(multiply(B,A),multiply(B,C)).
% 2.74/2.97 902 [copy,876,flip.1] add(multiply(A,B),multiply(C,B))=add(add(multiply(B,A),multiply(B,C)),multiply(C,B)).
% 2.74/2.97 903 [copy,877,flip.1] add(multiply(A,B),multiply(A,C))=add(add(multiply(B,A),multiply(C,A)),multiply(A,C)).
% 2.74/2.97 584 [para_from,72.1.1,12.1.1.2,flip.1] add(multiply(A,multiply(B,multiply(inverse(C),D))),multiply(A,multiply(B,multiply(C,D))))=multiply(A,multiply(B,D)).
% 2.74/2.97 1494 [para_into,1492.1.1.1.1,110.1.1] inverse(add(A,B))=multiply(inverse(B),inverse(A)).
% 2.74/2.97 650 [para_from,590.1.1,62.1.1.1,demod,13,13,515,13,13,515,29,13] add(add(multiply(A,B),multiply(B,multiply(A,C))),add(multiply(C,multiply(A,B)),multiply(A,C)))=add(multiply(A,B),multiply(A,C)).
% 2.74/2.97 1502 [para_into,1498.1.1.1.2,110.1.1] inverse(multiply(A,B))=add(inverse(B),inverse(A)).
% 2.74/2.97 734 [para_into,84.1.1.1.1,20.1.1,demod,29,21,29] add(multiply(inverse(A),B),add(multiply(C,A),multiply(C,B)))=add(multiply(C,A),add(multiply(inverse(A),B),multiply(C,B))).
% 2.74/2.97 735 [para_into,84.1.1.1.1,18.1.1,demod,29,19,29] add(multiply(A,B),add(multiply(C,inverse(A)),multiply(C,B)))=add(multiply(C,inverse(A)),add(multiply(A,B),multiply(C,B))).
% 2.74/2.97 724 [para_into,84.1.1.1.1,680.1.1,demod,29,681,29] add(multiply(A,B),add(multiply(C,multiply(inverse(A),D)),multiply(C,B)))=add(multiply(C,multiply(inverse(A),D)),add(multiply(A,B),multiply(C,B))).
% 2.74/2.97 757 [para_into,84.1.1.1.2,20.1.1,demod,27,21,29,flip.1] add(add(multiply(inverse(A),B),multiply(C,B)),multiply(C,A))=add(multiply(inverse(A),B),add(multiply(C,B),multiply(C,A))).
% 2.74/2.97 759 [para_into,84.1.1.1.2,18.1.1,demod,27,19,29,flip.1] add(add(multiply(A,B),multiply(C,B)),multiply(C,inverse(A)))=add(multiply(A,B),add(multiply(C,B),multiply(C,inverse(A)))).
% 2.74/2.97 796 [para_into,84.1.1.2.1,20.1.1,demod,29,21,27] add(add(multiply(A,B),multiply(A,C)),multiply(inverse(B),C))=add(multiply(A,B),add(multiply(A,C),multiply(inverse(B),C))).
% 2.74/2.97 798 [para_into,84.1.1.2.1,18.1.1,demod,29,19,27] add(add(multiply(A,inverse(B)),multiply(A,C)),multiply(B,C))=add(multiply(A,inverse(B)),add(multiply(A,C),multiply(B,C))).
% 2.74/2.97 725 [para_into,84.1.1.1.1,630.1.1,demod,29,631,29] add(multiply(A,B),add(multiply(C,multiply(D,inverse(A))),multiply(C,B)))=add(multiply(C,multiply(D,inverse(A))),add(multiply(A,B),multiply(C,B))).
% 2.74/2.97 812 [para_into,84.1.1.2.2,20.1.1,demod,27,21,27] add(add(multiply(A,B),multiply(A,C)),multiply(inverse(C),B))=add(add(multiply(A,B),multiply(inverse(C),B)),multiply(A,C)).
% 2.74/2.97 813 [para_into,84.1.1.2.2,18.1.1,demod,27,19,27] add(add(multiply(A,B),multiply(A,inverse(C))),multiply(C,B))=add(add(multiply(A,B),multiply(C,B)),multiply(A,inverse(C))).
% 2.74/2.97 832 [copy,734,flip.1] add(multiply(A,B),add(multiply(inverse(B),C),multiply(A,C)))=add(multiply(inverse(B),C),add(multiply(A,B),multiply(A,C))).
% 2.74/2.97 833 [copy,735,flip.1] add(multiply(A,inverse(B)),add(multiply(B,C),multiply(A,C)))=add(multiply(B,C),add(multiply(A,inverse(B)),multiply(A,C))).
% 2.74/2.97 726 [para_into,84.1.1.1.1,608.1.1,demod,29,609,29] add(multiply(inverse(A),B),add(multiply(C,multiply(A,D)),multiply(C,B)))=add(multiply(C,multiply(A,D)),add(multiply(inverse(A),B),multiply(C,B))).
% 2.74/2.97 852 [copy,812,flip.1] add(add(multiply(A,B),multiply(inverse(C),B)),multiply(A,C))=add(add(multiply(A,B),multiply(A,C)),multiply(inverse(C),B)).
% 2.74/2.97 853 [copy,813,flip.1] add(add(multiply(A,B),multiply(C,B)),multiply(A,inverse(C)))=add(add(multiply(A,B),multiply(A,inverse(C))),multiply(C,B)).
% 2.74/2.97 727 [para_into,84.1.1.1.1,606.1.1,demod,29,607,29] add(multiply(multiply(inverse(A),B),C),add(multiply(D,A),multiply(D,C)))=add(multiply(D,A),add(multiply(multiply(inverse(A),B),C),multiply(D,C))).
% 2.74/2.97 728 [para_into,84.1.1.1.1,590.1.1,demod,29,591,29] add(multiply(inverse(A),B),add(multiply(C,multiply(D,A)),multiply(C,B)))=add(multiply(C,multiply(D,A)),add(multiply(inverse(A),B),multiply(C,B))).
% 2.74/2.97 729 [para_into,84.1.1.1.1,588.1.1,demod,29,589,29] add(multiply(multiply(A,inverse(B)),C),add(multiply(D,B),multiply(D,C)))=add(multiply(D,B),add(multiply(multiply(A,inverse(B)),C),multiply(D,C))).
% 2.74/2.97 730 [para_into,84.1.1.1.1,468.1.1,demod,29,469,29] add(multiply(multiply(A,B),C),add(multiply(D,inverse(A)),multiply(D,C)))=add(multiply(D,inverse(A)),add(multiply(multiply(A,B),C),multiply(D,C))).
% 2.74/2.97 731 [para_into,84.1.1.1.1,466.1.1,demod,29,467,29] add(multiply(multiply(A,B),C),add(multiply(D,inverse(B)),multiply(D,C)))=add(multiply(D,inverse(B)),add(multiply(multiply(A,B),C),multiply(D,C))).
% 2.74/2.97 739 [para_into,84.1.1.1.2,680.1.1,demod,27,681,29,flip.1] add(add(multiply(A,B),multiply(C,B)),multiply(C,multiply(inverse(A),D)))=add(multiply(A,B),add(multiply(C,B),multiply(C,multiply(inverse(A),D)))).
% 2.74/2.97 741 [para_into,84.1.1.1.2,630.1.1,demod,27,631,29,flip.1] add(add(multiply(A,B),multiply(C,B)),multiply(C,multiply(D,inverse(A))))=add(multiply(A,B),add(multiply(C,B),multiply(C,multiply(D,inverse(A))))).
% 2.74/2.97 736 [para_into,84.1.1.1.1,12.1.1,demod,13,13,13] add(add(add(multiply(A,B),multiply(A,C)),multiply(A,D)),add(add(multiply(E,B),multiply(E,C)),multiply(E,D)))=add(add(add(multiply(A,B),multiply(A,C)),add(multiply(E,B),multiply(E,C))),add(multiply(A,D),multiply(E,D))).
% 2.74/2.97 743 [para_into,84.1.1.1.2,608.1.1,demod,27,609,29,flip.1] add(add(multiply(inverse(A),B),multiply(C,B)),multiply(C,multiply(A,D)))=add(multiply(inverse(A),B),add(multiply(C,B),multiply(C,multiply(A,D)))).
% 2.74/2.97 745 [para_into,84.1.1.1.2,606.1.1,demod,27,607,29,flip.1] add(add(multiply(multiply(inverse(A),B),C),multiply(D,C)),multiply(D,A))=add(multiply(multiply(inverse(A),B),C),add(multiply(D,C),multiply(D,A))).
% 2.74/2.97 747 [para_into,84.1.1.1.2,590.1.1,demod,27,591,29,flip.1] add(add(multiply(inverse(A),B),multiply(C,B)),multiply(C,multiply(D,A)))=add(multiply(inverse(A),B),add(multiply(C,B),multiply(C,multiply(D,A)))).
% 2.74/2.97 749 [para_into,84.1.1.1.2,588.1.1,demod,27,589,29,flip.1] add(add(multiply(multiply(A,inverse(B)),C),multiply(D,C)),multiply(D,B))=add(multiply(multiply(A,inverse(B)),C),add(multiply(D,C),multiply(D,B))).
% 2.74/2.97 737 [para_into,84.1.1.1.1,10.1.1,demod,11,11,11] add(add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D))),add(multiply(E,B),multiply(E,D)))=add(add(add(multiply(A,B),multiply(C,B)),multiply(E,B)),add(add(multiply(A,D),multiply(C,D)),multiply(E,D))).
% 2.74/2.97 751 [para_into,84.1.1.1.2,468.1.1,demod,27,469,29,flip.1] add(add(multiply(multiply(A,B),C),multiply(D,C)),multiply(D,inverse(A)))=add(multiply(multiply(A,B),C),add(multiply(D,C),multiply(D,inverse(A)))).
% 2.74/2.97 753 [para_into,84.1.1.1.2,466.1.1,demod,27,467,29,flip.1] add(add(multiply(multiply(A,B),C),multiply(D,C)),multiply(D,inverse(B)))=add(multiply(multiply(A,B),C),add(multiply(D,C),multiply(D,inverse(B)))).
% 2.74/2.97 778 [para_into,84.1.1.2.1,680.1.1,demod,29,681,27] add(add(multiply(A,multiply(inverse(B),C)),multiply(A,D)),multiply(B,D))=add(multiply(A,multiply(inverse(B),C)),add(multiply(A,D),multiply(B,D))).
% 2.74/2.97 780 [para_into,84.1.1.2.1,630.1.1,demod,29,631,27] add(add(multiply(A,multiply(B,inverse(C))),multiply(A,D)),multiply(C,D))=add(multiply(A,multiply(B,inverse(C))),add(multiply(A,D),multiply(C,D))).
% 2.74/2.97 738 [para_into,84.1.1.1.1,3.1.1] add(add(multiply(A,B),multiply(B,C)),add(multiply(D,A),multiply(D,C)))=add(add(multiply(B,A),multiply(D,A)),add(multiply(B,C),multiply(D,C))).
% 2.74/2.97 782 [para_into,84.1.1.2.1,608.1.1,demod,29,609,27] add(add(multiply(A,multiply(B,C)),multiply(A,D)),multiply(inverse(B),D))=add(multiply(A,multiply(B,C)),add(multiply(A,D),multiply(inverse(B),D))).
% 2.74/2.97 784 [para_into,84.1.1.2.1,606.1.1,demod,29,607,27] add(add(multiply(A,B),multiply(A,C)),multiply(multiply(inverse(B),D),C))=add(multiply(A,B),add(multiply(A,C),multiply(multiply(inverse(B),D),C))).
% 2.74/2.97 786 [para_into,84.1.1.2.1,590.1.1,demod,29,591,27] add(add(multiply(A,multiply(B,C)),multiply(A,D)),multiply(inverse(C),D))=add(multiply(A,multiply(B,C)),add(multiply(A,D),multiply(inverse(C),D))).
% 2.74/2.97 788 [para_into,84.1.1.2.1,588.1.1,demod,29,589,27] add(add(multiply(A,B),multiply(A,C)),multiply(multiply(D,inverse(B)),C))=add(multiply(A,B),add(multiply(A,C),multiply(multiply(D,inverse(B)),C))).
% 2.74/2.97 761 [para_into,84.1.1.1.2,12.1.1,demod,13,13,13] add(add(multiply(A,B),add(multiply(A,C),multiply(A,D))),add(multiply(E,B),add(multiply(E,C),multiply(E,D))))=add(add(multiply(A,B),multiply(E,B)),add(add(multiply(A,C),multiply(A,D)),add(multiply(E,C),multiply(E,D)))).
% 2.74/2.97 790 [para_into,84.1.1.2.1,468.1.1,demod,29,469,27] add(add(multiply(A,inverse(B)),multiply(A,C)),multiply(multiply(B,D),C))=add(multiply(A,inverse(B)),add(multiply(A,C),multiply(multiply(B,D),C))).
% 2.74/2.97 792 [para_into,84.1.1.2.1,466.1.1,demod,29,467,27] add(add(multiply(A,inverse(B)),multiply(A,C)),multiply(multiply(D,B),C))=add(multiply(A,inverse(B)),add(multiply(A,C),multiply(multiply(D,B),C))).
% 2.74/2.97 802 [para_into,84.1.1.2.2,680.1.1,demod,27,681,27] add(add(multiply(A,B),multiply(A,multiply(inverse(C),D))),multiply(C,B))=add(add(multiply(A,B),multiply(C,B)),multiply(A,multiply(inverse(C),D))).
% 2.74/2.97 803 [para_into,84.1.1.2.2,630.1.1,demod,27,631,27] add(add(multiply(A,B),multiply(A,multiply(C,inverse(D)))),multiply(D,B))=add(add(multiply(A,B),multiply(D,B)),multiply(A,multiply(C,inverse(D)))).
% 2.74/2.97 762 [para_into,84.1.1.1.2,3.1.1] add(add(multiply(A,B),multiply(C,A)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 804 [para_into,84.1.1.2.2,608.1.1,demod,27,609,27] add(add(multiply(A,B),multiply(A,multiply(C,D))),multiply(inverse(C),B))=add(add(multiply(A,B),multiply(inverse(C),B)),multiply(A,multiply(C,D))).
% 2.74/2.97 805 [para_into,84.1.1.2.2,606.1.1,demod,27,607,27] add(add(multiply(A,B),multiply(A,C)),multiply(multiply(inverse(C),D),B))=add(add(multiply(A,B),multiply(multiply(inverse(C),D),B)),multiply(A,C)).
% 2.74/2.97 806 [para_into,84.1.1.2.2,590.1.1,demod,27,591,27] add(add(multiply(A,B),multiply(A,multiply(C,D))),multiply(inverse(D),B))=add(add(multiply(A,B),multiply(inverse(D),B)),multiply(A,multiply(C,D))).
% 2.74/2.97 807 [para_into,84.1.1.2.2,588.1.1,demod,27,589,27] add(add(multiply(A,B),multiply(A,C)),multiply(multiply(D,inverse(C)),B))=add(add(multiply(A,B),multiply(multiply(D,inverse(C)),B)),multiply(A,C)).
% 2.74/2.97 776 [para_into,84.1.1.1,48.1.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(D,A),multiply(D,C)))=add(add(multiply(B,A),multiply(D,A)),add(multiply(B,C),multiply(D,C))).
% 2.74/2.97 808 [para_into,84.1.1.2.2,468.1.1,demod,27,469,27] add(add(multiply(A,B),multiply(A,inverse(C))),multiply(multiply(C,D),B))=add(add(multiply(A,B),multiply(multiply(C,D),B)),multiply(A,inverse(C))).
% 2.74/2.97 809 [para_into,84.1.1.2.2,466.1.1,demod,27,467,27] add(add(multiply(A,B),multiply(A,inverse(C))),multiply(multiply(D,C),B))=add(add(multiply(A,B),multiply(multiply(D,C),B)),multiply(A,inverse(C))).
% 2.74/2.97 824 [copy,724,flip.1] add(multiply(A,multiply(inverse(B),C)),add(multiply(B,D),multiply(A,D)))=add(multiply(B,D),add(multiply(A,multiply(inverse(B),C)),multiply(A,D))).
% 2.74/2.97 825 [copy,725,flip.1] add(multiply(A,multiply(B,inverse(C))),add(multiply(C,D),multiply(A,D)))=add(multiply(C,D),add(multiply(A,multiply(B,inverse(C))),multiply(A,D))).
% 2.74/2.97 777 [para_into,84.1.1.1,2.1.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,C),multiply(D,B)))=add(add(multiply(A,C),multiply(D,C)),add(multiply(A,B),multiply(D,B))).
% 2.74/2.97 826 [copy,726,flip.1] add(multiply(A,multiply(B,C)),add(multiply(inverse(B),D),multiply(A,D)))=add(multiply(inverse(B),D),add(multiply(A,multiply(B,C)),multiply(A,D))).
% 2.74/2.97 827 [copy,727,flip.1] add(multiply(A,B),add(multiply(multiply(inverse(B),C),D),multiply(A,D)))=add(multiply(multiply(inverse(B),C),D),add(multiply(A,B),multiply(A,D))).
% 2.74/2.97 828 [copy,728,flip.1] add(multiply(A,multiply(B,C)),add(multiply(inverse(C),D),multiply(A,D)))=add(multiply(inverse(C),D),add(multiply(A,multiply(B,C)),multiply(A,D))).
% 2.74/2.97 829 [copy,729,flip.1] add(multiply(A,B),add(multiply(multiply(C,inverse(B)),D),multiply(A,D)))=add(multiply(multiply(C,inverse(B)),D),add(multiply(A,B),multiply(A,D))).
% 2.74/2.97 800 [para_into,84.1.1.2.1,10.1.1,demod,11,11,11] add(add(multiply(A,B),multiply(A,C)),add(add(multiply(D,B),multiply(E,B)),add(multiply(D,C),multiply(E,C))))=add(add(multiply(A,B),add(multiply(D,B),multiply(E,B))),add(multiply(A,C),add(multiply(D,C),multiply(E,C)))).
% 2.74/2.97 830 [copy,730,flip.1] add(multiply(A,inverse(B)),add(multiply(multiply(B,C),D),multiply(A,D)))=add(multiply(multiply(B,C),D),add(multiply(A,inverse(B)),multiply(A,D))).
% 2.74/2.97 831 [copy,731,flip.1] add(multiply(A,inverse(B)),add(multiply(multiply(C,B),D),multiply(A,D)))=add(multiply(multiply(C,B),D),add(multiply(A,inverse(B)),multiply(A,D))).
% 2.74/2.97 843 [copy,802,flip.1] add(add(multiply(A,B),multiply(C,B)),multiply(A,multiply(inverse(C),D)))=add(add(multiply(A,B),multiply(A,multiply(inverse(C),D))),multiply(C,B)).
% 2.74/2.97 844 [copy,803,flip.1] add(add(multiply(A,B),multiply(C,B)),multiply(A,multiply(D,inverse(C))))=add(add(multiply(A,B),multiply(A,multiply(D,inverse(C)))),multiply(C,B)).
% 2.74/2.97 801 [para_into,84.1.1.2.1,3.1.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(B,D),multiply(D,C)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 845 [copy,804,flip.1] add(add(multiply(A,B),multiply(inverse(C),B)),multiply(A,multiply(C,D)))=add(add(multiply(A,B),multiply(A,multiply(C,D))),multiply(inverse(C),B)).
% 2.74/2.97 846 [copy,805,flip.1] add(add(multiply(A,B),multiply(multiply(inverse(C),D),B)),multiply(A,C))=add(add(multiply(A,B),multiply(A,C)),multiply(multiply(inverse(C),D),B)).
% 2.74/2.97 847 [copy,806,flip.1] add(add(multiply(A,B),multiply(inverse(C),B)),multiply(A,multiply(D,C)))=add(add(multiply(A,B),multiply(A,multiply(D,C))),multiply(inverse(C),B)).
% 2.74/2.97 848 [copy,807,flip.1] add(add(multiply(A,B),multiply(multiply(C,inverse(D)),B)),multiply(A,D))=add(add(multiply(A,B),multiply(A,D)),multiply(multiply(C,inverse(D)),B)).
% 2.74/2.97 814 [para_into,84.1.1.2.2,3.1.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(C,D)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 849 [copy,808,flip.1] add(add(multiply(A,B),multiply(multiply(C,D),B)),multiply(A,inverse(C)))=add(add(multiply(A,B),multiply(A,inverse(C))),multiply(multiply(C,D),B)).
% 2.74/2.97 850 [copy,809,flip.1] add(add(multiply(A,B),multiply(multiply(C,D),B)),multiply(A,inverse(D)))=add(add(multiply(A,B),multiply(A,inverse(D))),multiply(multiply(C,D),B)).
% 2.74/2.97 1066 [para_from,514.1.1,85.1.1.2.2,demod,407,515] add(add(multiply(A,B),multiply(C,B)),multiply(D,C))=add(add(multiply(A,B),multiply(A,multiply(D,C))),add(multiply(C,B),multiply(D,C))).
% 2.74/2.97 1067 [para_from,514.1.1,85.1.1.2.1,demod,489,515] add(add(multiply(A,B),multiply(C,B)),multiply(D,A))=add(add(multiply(A,B),multiply(D,A)),add(multiply(C,B),multiply(C,multiply(D,A)))).
% 2.74/2.97 821 [para_into,84.1.1.2,48.1.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(B,D),multiply(C,D)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 1068 [para_from,514.1.1,84.1.1.2.2,demod,515,407] add(add(multiply(A,B),multiply(A,multiply(C,D))),add(multiply(D,B),multiply(C,D)))=add(add(multiply(A,B),multiply(D,B)),multiply(C,D)).
% 2.74/2.97 1069 [para_from,514.1.1,84.1.1.2.1,demod,515,407] add(add(multiply(A,multiply(B,C)),multiply(A,D)),add(multiply(B,C),multiply(C,D)))=add(multiply(B,C),add(multiply(A,D),multiply(C,D))).
% 2.74/2.97 1073 [para_from,514.1.1,84.1.1.1.2,demod,515,489] add(add(multiply(A,B),multiply(C,A)),add(multiply(D,B),multiply(D,multiply(C,A))))=add(add(multiply(A,B),multiply(D,B)),multiply(C,A)).
% 2.74/2.97 1074 [para_from,514.1.1,84.1.1.1.1,demod,515,489] add(add(multiply(A,B),multiply(B,C)),add(multiply(D,multiply(A,B)),multiply(D,C)))=add(multiply(A,B),add(multiply(B,C),multiply(D,C))).
% 2.74/2.97 822 [para_into,84.1.1.2,2.1.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,C),multiply(D,B)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 1076 [para_from,574.1.1,85.1.1.2.2,demod,575,409] add(add(multiply(A,B),multiply(multiply(C,D),B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(A,B),multiply(A,D)),multiply(C,D)).
% 2.74/2.97 1077 [para_from,574.1.1,85.1.1.2.1,demod,575,409] add(add(multiply(multiply(A,B),C),multiply(D,C)),add(multiply(A,B),multiply(D,B)))=add(multiply(A,B),add(multiply(D,C),multiply(D,B))).
% 2.74/2.97 1079 [para_from,574.1.1,84.1.1.2.2,demod,409,575] add(add(multiply(A,B),multiply(A,C)),multiply(D,C))=add(add(multiply(A,B),multiply(multiply(D,C),B)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 1080 [para_from,574.1.1,84.1.1.2.1,demod,471,575] add(add(multiply(A,B),multiply(A,C)),multiply(D,B))=add(add(multiply(A,B),multiply(D,B)),add(multiply(A,C),multiply(multiply(D,B),C))).
% 2.74/2.97 823 [para_into,84.1.1,2.1.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(D,B),multiply(A,B)),add(multiply(D,C),multiply(A,C))).
% 2.74/2.97 1083 [para_from,574.1.1,85.1.1.1.2,demod,575,471] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(multiply(C,B),D)))=add(add(multiply(A,B),multiply(A,D)),multiply(C,B)).
% 2.74/2.97 1090 [para_from,574.1.1,84.1.1.1.1,demod,471,575,flip.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(multiply(A,B),D),multiply(C,D)))=add(multiply(A,B),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 1094 [para_from,610.1.1,85.1.1.2.2,demod,407,611] add(add(multiply(A,B),multiply(C,B)),multiply(C,D))=add(add(multiply(A,B),multiply(A,multiply(C,D))),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 1095 [para_from,610.1.1,85.1.1.2.1,demod,489,611] add(add(multiply(A,B),multiply(C,B)),multiply(A,D))=add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,multiply(A,D)))).
% 2.74/2.97 834 [copy,736,flip.1] add(add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C))),add(multiply(A,E),multiply(D,E)))=add(add(add(multiply(A,B),multiply(A,C)),multiply(A,E)),add(add(multiply(D,B),multiply(D,C)),multiply(D,E))).
% 2.74/2.97 1096 [para_from,610.1.1,84.1.1.2.2,demod,611,407] add(add(multiply(A,B),multiply(A,multiply(C,D))),add(multiply(C,B),multiply(C,D)))=add(add(multiply(A,B),multiply(C,B)),multiply(C,D)).
% 2.74/2.97 1097 [para_from,610.1.1,84.1.1.2.1,demod,611,407] add(add(multiply(A,multiply(B,C)),multiply(A,D)),add(multiply(B,C),multiply(B,D)))=add(multiply(B,C),add(multiply(A,D),multiply(B,D))).
% 2.74/2.97 1103 [para_from,610.1.1,84.1.1.1.2,demod,611,489] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,multiply(A,C))))=add(add(multiply(A,B),multiply(D,B)),multiply(A,C)).
% 2.74/2.97 1104 [para_from,610.1.1,84.1.1.1.1,demod,611,489] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,multiply(A,B)),multiply(D,C)))=add(multiply(A,B),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 835 [copy,737,flip.1] add(add(add(multiply(A,B),multiply(C,B)),multiply(D,B)),add(add(multiply(A,E),multiply(C,E)),multiply(D,E)))=add(add(add(multiply(A,B),multiply(C,B)),add(multiply(A,E),multiply(C,E))),add(multiply(D,B),multiply(D,E))).
% 2.74/2.97 836 [copy,738,flip.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(B,A),multiply(A,D)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 838 [copy,762,flip.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(A,B),multiply(D,A)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 839 [copy,776,flip.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(B,A),multiply(D,A)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 840 [copy,777,flip.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(A,D),multiply(A,B)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 837 [copy,761,flip.1] add(add(multiply(A,B),multiply(C,B)),add(add(multiply(A,D),multiply(A,E)),add(multiply(C,D),multiply(C,E))))=add(add(multiply(A,B),add(multiply(A,D),multiply(A,E))),add(multiply(C,B),add(multiply(C,D),multiply(C,E)))).
% 2.74/2.97 842 [copy,801,flip.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(B,C),multiply(C,D))).
% 2.74/2.97 854 [copy,814,flip.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(D,C))).
% 2.74/2.97 855 [copy,821,flip.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(B,C),multiply(D,C))).
% 2.74/2.97 856 [copy,822,flip.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(C,D),multiply(C,B))).
% 2.74/2.97 841 [copy,800,flip.1] add(add(multiply(A,B),add(multiply(C,B),multiply(D,B))),add(multiply(A,E),add(multiply(C,E),multiply(D,E))))=add(add(multiply(A,B),multiply(A,E)),add(add(multiply(C,B),multiply(D,B)),add(multiply(C,E),multiply(D,E)))).
% 2.74/2.97 857 [copy,823,flip.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(C,B),multiply(C,D)),add(multiply(A,B),multiply(A,D))).
% 2.74/2.97 1012 [para_into,85.1.1.1.1,3.1.1] add(add(multiply(A,B),multiply(C,A)),add(multiply(B,D),multiply(C,D)))=add(add(multiply(B,A),multiply(B,D)),add(multiply(C,A),multiply(C,D))).
% 2.74/2.97 1013 [para_into,85.1.1.1.2,3.1.1] add(add(multiply(A,B),multiply(B,C)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 1020 [para_into,85.1.1.1,49.1.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(B,D),multiply(C,D)))=add(add(multiply(B,A),multiply(B,D)),add(multiply(C,A),multiply(C,D))).
% 2.74/2.97 868 [para_from,84.1.1,10.1.1.1,demod,11,11,11,11,11] add(add(multiply(multiply(A,B),C),multiply(multiply(D,B),C)),add(multiply(multiply(A,E),C),multiply(multiply(D,E),C)))=add(add(multiply(multiply(A,B),C),multiply(multiply(A,E),C)),add(multiply(multiply(D,B),C),multiply(multiply(D,E),C))).
% 2.74/2.97 1021 [para_into,85.1.1.1,2.1.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(C,D),multiply(A,D)))=add(add(multiply(C,B),multiply(C,D)),add(multiply(A,B),multiply(A,D))).
% 2.74/2.97 1022 [para_into,85.1.1.2.1,3.1.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(D,A),multiply(C,D)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 1023 [para_into,85.1.1.2.2,3.1.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(D,C)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 1024 [para_into,85.1.1.2,49.1.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(D,A),multiply(D,C)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 869 [para_from,84.1.1,12.1.1.2,demod,13,13,13,13,13] add(add(multiply(A,multiply(B,C)),multiply(A,multiply(D,C))),add(multiply(A,multiply(B,E)),multiply(A,multiply(D,E))))=add(add(multiply(A,multiply(B,C)),multiply(A,multiply(B,E))),add(multiply(A,multiply(D,C)),multiply(A,multiply(D,E)))).
% 2.74/2.97 1025 [para_into,85.1.1.2,2.1.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(C,D),multiply(A,D)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 1026 [para_into,85.1.1,2.1.1] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D)))=add(add(multiply(A,D),multiply(A,B)),add(multiply(C,D),multiply(C,B))).
% 2.74/2.97 1027 [copy,1012,flip.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(B,A),multiply(D,B)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 1028 [copy,1013,flip.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(A,B),multiply(B,D)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 870 [copy,868,flip.1] add(add(multiply(multiply(A,B),C),multiply(multiply(A,D),C)),add(multiply(multiply(E,B),C),multiply(multiply(E,D),C)))=add(add(multiply(multiply(A,B),C),multiply(multiply(E,B),C)),add(multiply(multiply(A,D),C),multiply(multiply(E,D),C))).
% 2.74/2.97 1029 [copy,1020,flip.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(B,A),multiply(B,D)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 1030 [copy,1021,flip.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(D,B),multiply(A,B)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 1031 [copy,1022,flip.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(C,A),multiply(D,C))).
% 2.74/2.97 1032 [copy,1023,flip.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(A,C),multiply(C,D))).
% 2.74/2.97 871 [copy,869,flip.1] add(add(multiply(A,multiply(B,C)),multiply(A,multiply(B,D))),add(multiply(A,multiply(E,C)),multiply(A,multiply(E,D))))=add(add(multiply(A,multiply(B,C)),multiply(A,multiply(E,C))),add(multiply(A,multiply(B,D)),multiply(A,multiply(E,D)))).
% 2.74/2.97 1033 [copy,1024,flip.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(C,A),multiply(C,D))).
% 2.74/2.97 1034 [copy,1025,flip.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(D,C),multiply(A,C))).
% 2.74/2.97 1035 [copy,1026,flip.1] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C)))=add(add(multiply(A,C),multiply(D,C)),add(multiply(A,B),multiply(D,B))).
% 2.74/2.97 872 [para_into,414.1.1.1,84.1.1] add(add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D))),add(multiply(C,B),multiply(C,D)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 1038 [para_from,85.1.1,414.1.1.1] add(add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C))),add(multiply(A,C),multiply(D,C)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 end_of_list.
% 2.74/2.97
% 2.74/2.97 list(sos).
% 2.74/2.97 end_of_list.
% 2.74/2.97
% 2.74/2.97 list(demodulators).
% 2.74/2.97 11 [new_demod,10] multiply(add(A,B),C)=add(multiply(A,C),multiply(B,C)).
% 2.74/2.97 13 [new_demod,12] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 2.74/2.97 15 [new_demod,14] add(A,inverse(A))=multiplicative_identity.
% 2.74/2.97 17 [new_demod,16] add(inverse(A),A)=multiplicative_identity.
% 2.74/2.97 19 [new_demod,18] multiply(A,inverse(A))=additive_identity.
% 2.74/2.97 21 [new_demod,20] multiply(inverse(A),A)=additive_identity.
% 2.74/2.97 23 [new_demod,22] multiply(A,multiplicative_identity)=A.
% 2.74/2.97 25 [new_demod,24] multiply(multiplicative_identity,A)=A.
% 2.74/2.97 27 [new_demod,26] add(A,additive_identity)=A.
% 2.74/2.97 29 [new_demod,28] add(additive_identity,A)=A.
% 2.74/2.97 35 [new_demod,34] inverse(additive_identity)=multiplicative_identity.
% 2.74/2.97 37 [new_demod,36] inverse(multiplicative_identity)=additive_identity.
% 2.74/2.97 43 [new_demod,42] add(multiply(inverse(A),B),multiply(A,B))=B.
% 2.74/2.97 45 [new_demod,44] add(multiply(A,B),multiply(inverse(A),B))=B.
% 2.74/2.97 55 [new_demod,54] multiply(A,A)=A.
% 2.74/2.97 59 [new_demod,58] add(multiply(A,inverse(B)),multiply(B,A))=A.
% 2.74/2.97 65 [new_demod,64] add(multiply(inverse(A),B),multiply(B,A))=B.
% 2.74/2.97 71 [new_demod,70] add(multiply(multiply(inverse(A),B),C),multiply(multiply(A,B),C))=multiply(B,C).
% 2.74/2.97 73 [new_demod,72] add(multiply(A,multiply(inverse(B),C)),multiply(A,multiply(B,C)))=multiply(A,C).
% 2.74/2.97 79 [new_demod,78] add(multiply(A,inverse(B)),multiply(A,B))=A.
% 2.74/2.97 81 [new_demod,80] add(multiply(A,B),multiply(A,inverse(B)))=A.
% 2.74/2.97 87 [new_demod,86] add(add(multiply(inverse(A),B),multiply(inverse(A),C)),add(multiply(A,B),multiply(A,C)))=add(B,C).
% 2.74/2.97 111 [new_demod,110] inverse(inverse(A))=A.
% 2.74/2.97 117 [new_demod,116] multiply(additive_identity,A)=additive_identity.
% 2.74/2.97 119 [new_demod,118] multiply(A,additive_identity)=additive_identity.
% 2.74/2.97 121 [new_demod,120] add(add(multiply(A,B),multiply(A,C)),add(multiply(inverse(A),B),multiply(inverse(A),C)))=add(B,C).
% 2.74/2.97 125 [new_demod,124] add(multiply(A,B),multiply(inverse(B),A))=A.
% 2.74/2.97 127 [new_demod,126] add(multiply(A,B),multiply(B,inverse(A)))=B.
% 2.74/2.97 129 [new_demod,128] add(multiply(multiply(A,B),C),multiply(multiply(inverse(A),B),C))=multiply(B,C).
% 2.74/2.97 131 [new_demod,130] add(multiply(A,multiply(B,C)),multiply(A,multiply(inverse(B),C)))=multiply(A,C).
% 2.74/2.97 155 [new_demod,154] add(add(multiply(A,inverse(B)),multiply(C,inverse(B))),add(multiply(B,A),multiply(B,C)))=add(A,C).
% 2.74/2.97 161 [new_demod,160] add(multiply(multiply(A,inverse(B)),C),multiply(multiply(B,A),C))=multiply(A,C).
% 2.74/2.97 163 [new_demod,162] add(multiply(A,multiply(B,inverse(C))),multiply(A,multiply(C,B)))=multiply(A,B).
% 2.74/2.97 165 [new_demod,164] add(add(multiply(inverse(A),B),multiply(inverse(A),C)),add(multiply(B,A),multiply(C,A)))=add(B,C).
% 2.74/2.97 171 [new_demod,170] add(multiply(multiply(inverse(A),B),C),multiply(multiply(B,A),C))=multiply(B,C).
% 2.74/2.97 173 [new_demod,172] add(multiply(A,multiply(inverse(B),C)),multiply(A,multiply(C,B)))=multiply(A,C).
% 2.74/2.97 175 [new_demod,174] add(add(multiply(A,inverse(B)),multiply(C,inverse(B))),add(multiply(A,B),multiply(C,B)))=add(A,C).
% 2.74/2.97 181 [new_demod,180] add(multiply(multiply(A,inverse(B)),C),multiply(multiply(A,B),C))=multiply(A,C).
% 2.74/2.97 183 [new_demod,182] add(multiply(A,multiply(B,inverse(C))),multiply(A,multiply(B,C)))=multiply(A,B).
% 2.74/2.97 187 [new_demod,186] add(add(multiply(A,B),multiply(C,B)),add(multiply(A,inverse(B)),multiply(C,inverse(B))))=add(A,C).
% 2.74/2.97 191 [new_demod,190] add(multiply(multiply(A,B),C),multiply(multiply(A,inverse(B)),C))=multiply(A,C).
% 2.74/2.97 193 [new_demod,192] add(multiply(A,multiply(B,C)),multiply(A,multiply(B,inverse(C))))=multiply(A,B).
% 2.74/2.97 221 [new_demod,220] add(add(multiply(A,B),multiply(C,B)),add(multiply(inverse(B),A),multiply(inverse(B),C)))=add(A,C).
% 2.74/2.97 225 [new_demod,224] add(multiply(multiply(A,B),C),multiply(multiply(inverse(B),A),C))=multiply(A,C).
% 2.74/2.97 227 [new_demod,226] add(multiply(A,multiply(B,C)),multiply(A,multiply(inverse(C),B)))=multiply(A,B).
% 2.74/2.97 229 [new_demod,228] add(add(multiply(A,B),multiply(A,C)),add(multiply(B,inverse(A)),multiply(C,inverse(A))))=add(B,C).
% 2.74/2.97 235 [new_demod,234] add(multiply(multiply(A,B),C),multiply(multiply(B,inverse(A)),C))=multiply(B,C).
% 2.74/2.97 237 [new_demod,236] add(multiply(A,multiply(B,C)),multiply(A,multiply(C,inverse(B))))=multiply(A,C).
% 2.74/2.97 407 [new_demod,406] add(multiply(A,B),B)=B.
% 2.74/2.97 409 [new_demod,408] add(multiply(A,B),A)=A.
% 2.74/2.97 415 [new_demod,414] add(add(A,B),B)=add(A,B).
% 2.74/2.97 417 [new_demod,416] add(add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C))),D)=add(add(multiply(A,B),multiply(A,C)),D).
% 2.74/2.97 422 [new_demod,421] add(A,A)=A.
% 2.74/2.97 428 [new_demod,427] add(add(multiply(A,B),multiply(B,C)),C)=add(multiply(A,B),C).
% 2.74/2.97 437 [new_demod,436] add(multiply(A,B),inverse(A))=add(B,inverse(A)).
% 2.74/2.97 439 [new_demod,438] add(multiply(inverse(A),B),A)=add(B,A).
% 2.74/2.97 441 [new_demod,440] add(add(multiply(A,B),multiply(C,B)),A)=add(multiply(C,B),A).
% 2.74/2.97 443 [new_demod,442] add(add(multiply(A,B),multiply(C,B)),C)=add(multiply(A,B),C).
% 2.74/2.97 449 [new_demod,448] add(A,add(multiply(B,C),multiply(A,C)))=add(multiply(B,C),A).
% 2.74/2.97 467 [new_demod,466] multiply(multiply(A,B),inverse(B))=additive_identity.
% 2.74/2.97 469 [new_demod,468] multiply(multiply(A,B),inverse(A))=additive_identity.
% 2.74/2.97 471 [new_demod,470] add(A,multiply(A,B))=A.
% 2.74/2.97 489 [new_demod,488] add(A,multiply(B,A))=A.
% 2.74/2.97 499 [new_demod,498] add(A,add(multiply(A,B),multiply(C,B)))=add(A,multiply(C,B)).
% 2.74/2.97 501 [new_demod,500] add(multiplicative_identity,A)=multiplicative_identity.
% 2.74/2.97 503 [new_demod,502] add(A,multiplicative_identity)=multiplicative_identity.
% 2.74/2.97 505 [new_demod,504] add(add(multiply(multiply(inverse(A),B),C),multiply(multiply(inverse(A),D),C)),add(multiply(multiply(A,B),C),multiply(multiply(A,D),C)))=add(multiply(B,C),multiply(D,C)).
% 2.74/2.97 511 [new_demod,510] add(add(multiply(multiply(inverse(A),B),C),multiply(multiply(inverse(A),B),D)),add(multiply(multiply(A,B),C),multiply(multiply(A,B),D)))=add(multiply(B,C),multiply(B,D)).
% 2.74/2.97 513 [new_demod,512] add(multiply(A,multiply(inverse(B),C)),multiply(multiply(B,C),A))=multiply(C,A).
% 2.74/2.97 515 [new_demod,514] multiply(A,multiply(B,A))=multiply(B,A).
% 2.74/2.97 519 [new_demod,518] add(multiply(multiply(inverse(A),B),C),multiply(C,multiply(A,B)))=multiply(B,C).
% 2.74/2.97 521 [new_demod,520] add(multiply(A,B),multiply(B,A))=multiply(A,B).
% 2.74/2.97 527 [new_demod,526] add(multiply(multiply(multiply(inverse(A),B),C),D),multiply(multiply(multiply(A,B),C),D))=multiply(multiply(B,C),D).
% 2.74/2.97 529 [new_demod,528] add(multiply(A,multiply(multiply(inverse(B),C),D)),multiply(A,multiply(multiply(B,C),D)))=multiply(A,multiply(C,D)).
% 2.74/2.97 531 [new_demod,530] add(add(multiply(A,B),multiply(A,C)),add(B,C))=add(B,C).
% 2.74/2.97 533 [new_demod,532] add(add(multiply(A,B),multiply(C,B)),B)=B.
% 2.74/2.97 535 [new_demod,534] add(add(multiply(A,B),add(multiply(C,B),multiply(D,B))),add(C,D))=add(multiply(A,B),add(C,D)).
% 2.74/2.97 537 [new_demod,536] add(add(A,B),add(multiply(A,C),multiply(B,C)))=add(A,B).
% 2.74/2.97 539 [new_demod,538] add(add(multiply(A,B),multiply(C,B)),add(A,C))=add(A,C).
% 2.74/2.97 541 [new_demod,540] add(add(add(multiply(A,B),multiply(C,B)),multiply(D,B)),D)=add(add(multiply(A,B),multiply(C,B)),D).
% 2.74/2.97 543 [new_demod,542] add(A,add(multiply(A,B),multiply(A,C)))=A.
% 2.74/2.97 545 [new_demod,544] add(add(multiply(A,B),multiply(A,C)),A)=A.
% 2.74/2.97 547 [new_demod,546] add(add(A,B),add(multiply(C,A),multiply(C,B)))=add(A,B).
% 2.74/2.97 549 [new_demod,548] add(A,add(multiply(B,A),multiply(C,A)))=A.
% 2.74/2.97 551 [new_demod,550] add(multiply(multiply(A,B),C),multiply(B,C))=multiply(B,C).
% 2.74/2.97 553 [new_demod,552] add(multiply(A,multiply(B,C)),multiply(A,C))=multiply(A,C).
% 2.74/2.97 555 [new_demod,554] add(multiply(A,B),multiply(multiply(A,C),B))=multiply(A,B).
% 2.74/2.97 557 [new_demod,556] add(multiply(multiply(A,B),C),multiply(A,C))=multiply(A,C).
% 2.74/2.97 559 [new_demod,558] add(multiply(A,B),multiply(A,multiply(B,C)))=multiply(A,B).
% 2.74/2.97 561 [new_demod,560] add(multiply(A,multiply(B,C)),multiply(A,B))=multiply(A,B).
% 2.74/2.97 563 [new_demod,562] add(multiply(A,B),multiply(multiply(C,A),B))=multiply(A,B).
% 2.74/2.97 565 [new_demod,564] add(multiply(A,B),multiply(A,multiply(C,B)))=multiply(A,B).
% 2.74/2.97 567 [new_demod,566] add(add(multiply(A,multiply(inverse(B),C)),multiply(A,multiply(inverse(B),D))),add(multiply(A,multiply(B,C)),multiply(A,multiply(B,D))))=add(multiply(A,C),multiply(A,D)).
% 2.74/2.97 573 [new_demod,572] add(add(multiply(A,multiply(inverse(B),C)),multiply(D,multiply(inverse(B),C))),add(multiply(A,multiply(B,C)),multiply(D,multiply(B,C))))=add(multiply(A,C),multiply(D,C)).
% 2.74/2.97 575 [new_demod,574] multiply(multiply(A,B),B)=multiply(A,B).
% 2.74/2.97 583 [new_demod,582] add(multiply(multiply(A,multiply(inverse(B),C)),D),multiply(multiply(A,multiply(B,C)),D))=multiply(multiply(A,C),D).
% 2.74/2.97 585 [new_demod,584] add(multiply(A,multiply(B,multiply(inverse(C),D))),multiply(A,multiply(B,multiply(C,D))))=multiply(A,multiply(B,D)).
% 2.74/2.97 589 [new_demod,588] multiply(multiply(A,inverse(B)),B)=additive_identity.
% 2.74/2.97 591 [new_demod,590] multiply(inverse(A),multiply(B,A))=additive_identity.
% 2.74/2.97 607 [new_demod,606] multiply(multiply(inverse(A),B),A)=additive_identity.
% 2.74/2.97 609 [new_demod,608] multiply(inverse(A),multiply(A,B))=additive_identity.
% 2.74/2.97 611 [new_demod,610] multiply(A,multiply(A,B))=multiply(A,B).
% 2.74/2.97 615 [new_demod,614] multiply(multiply(A,B),A)=multiply(B,A).
% 2.74/2.97 631 [new_demod,630] multiply(A,multiply(B,inverse(A)))=additive_identity.
% 2.74/2.97 651 [new_demod,650] add(add(multiply(A,B),multiply(B,multiply(A,C))),add(multiply(C,multiply(A,B)),multiply(A,C)))=add(multiply(A,B),multiply(A,C)).
% 2.74/2.97 681 [new_demod,680] multiply(A,multiply(inverse(A),B))=additive_identity.
% 2.74/2.97 733 [new_demod,732] add(A,add(multiply(B,A),multiply(B,C)))=add(A,multiply(B,C)).
% 2.74/2.97 740 [new_demod,739] add(add(multiply(A,B),multiply(C,B)),multiply(C,multiply(inverse(A),D)))=add(multiply(A,B),add(multiply(C,B),multiply(C,multiply(inverse(A),D)))).
% 2.74/2.97 742 [new_demod,741] add(add(multiply(A,B),multiply(C,B)),multiply(C,multiply(D,inverse(A))))=add(multiply(A,B),add(multiply(C,B),multiply(C,multiply(D,inverse(A))))).
% 2.74/2.97 744 [new_demod,743] add(add(multiply(inverse(A),B),multiply(C,B)),multiply(C,multiply(A,D)))=add(multiply(inverse(A),B),add(multiply(C,B),multiply(C,multiply(A,D)))).
% 2.74/2.97 746 [new_demod,745] add(add(multiply(multiply(inverse(A),B),C),multiply(D,C)),multiply(D,A))=add(multiply(multiply(inverse(A),B),C),add(multiply(D,C),multiply(D,A))).
% 2.74/2.97 748 [new_demod,747] add(add(multiply(inverse(A),B),multiply(C,B)),multiply(C,multiply(D,A)))=add(multiply(inverse(A),B),add(multiply(C,B),multiply(C,multiply(D,A)))).
% 2.74/2.97 750 [new_demod,749] add(add(multiply(multiply(A,inverse(B)),C),multiply(D,C)),multiply(D,B))=add(multiply(multiply(A,inverse(B)),C),add(multiply(D,C),multiply(D,B))).
% 2.74/2.97 752 [new_demod,751] add(add(multiply(multiply(A,B),C),multiply(D,C)),multiply(D,inverse(A)))=add(multiply(multiply(A,B),C),add(multiply(D,C),multiply(D,inverse(A)))).
% 2.74/2.97 754 [new_demod,753] add(add(multiply(multiply(A,B),C),multiply(D,C)),multiply(D,inverse(B)))=add(multiply(multiply(A,B),C),add(multiply(D,C),multiply(D,inverse(B)))).
% 2.74/2.97 756 [new_demod,755] add(A,add(multiply(B,C),multiply(B,A)))=add(multiply(B,C),A).
% 2.74/2.97 758 [new_demod,757] add(add(multiply(inverse(A),B),multiply(C,B)),multiply(C,A))=add(multiply(inverse(A),B),add(multiply(C,B),multiply(C,A))).
% 2.74/2.97 760 [new_demod,759] add(add(multiply(A,B),multiply(C,B)),multiply(C,inverse(A)))=add(multiply(A,B),add(multiply(C,B),multiply(C,inverse(A)))).
% 2.74/2.97 768 [new_demod,767] add(A,multiply(B,inverse(A)))=add(A,B).
% 2.74/2.97 773 [new_demod,772] add(inverse(A),multiply(B,A))=add(inverse(A),B).
% 2.74/2.97 775 [new_demod,774] add(multiply(A,inverse(B)),B)=add(B,A).
% 2.74/2.97 779 [new_demod,778] add(add(multiply(A,multiply(inverse(B),C)),multiply(A,D)),multiply(B,D))=add(multiply(A,multiply(inverse(B),C)),add(multiply(A,D),multiply(B,D))).
% 2.74/2.97 781 [new_demod,780] add(add(multiply(A,multiply(B,inverse(C))),multiply(A,D)),multiply(C,D))=add(multiply(A,multiply(B,inverse(C))),add(multiply(A,D),multiply(C,D))).
% 2.74/2.97 783 [new_demod,782] add(add(multiply(A,multiply(B,C)),multiply(A,D)),multiply(inverse(B),D))=add(multiply(A,multiply(B,C)),add(multiply(A,D),multiply(inverse(B),D))).
% 2.74/2.97 785 [new_demod,784] add(add(multiply(A,B),multiply(A,C)),multiply(multiply(inverse(B),D),C))=add(multiply(A,B),add(multiply(A,C),multiply(multiply(inverse(B),D),C))).
% 2.74/2.97 787 [new_demod,786] add(add(multiply(A,multiply(B,C)),multiply(A,D)),multiply(inverse(C),D))=add(multiply(A,multiply(B,C)),add(multiply(A,D),multiply(inverse(C),D))).
% 2.74/2.97 789 [new_demod,788] add(add(multiply(A,B),multiply(A,C)),multiply(multiply(D,inverse(B)),C))=add(multiply(A,B),add(multiply(A,C),multiply(multiply(D,inverse(B)),C))).
% 2.74/2.97 791 [new_demod,790] add(add(multiply(A,inverse(B)),multiply(A,C)),multiply(multiply(B,D),C))=add(multiply(A,inverse(B)),add(multiply(A,C),multiply(multiply(B,D),C))).
% 2.74/2.97 793 [new_demod,792] add(add(multiply(A,inverse(B)),multiply(A,C)),multiply(multiply(D,B),C))=add(multiply(A,inverse(B)),add(multiply(A,C),multiply(multiply(D,B),C))).
% 2.74/2.97 795 [new_demod,794] add(add(multiply(A,B),multiply(A,C)),B)=add(multiply(A,C),B).
% 2.74/2.97 797 [new_demod,796] add(add(multiply(A,B),multiply(A,C)),multiply(inverse(B),C))=add(multiply(A,B),add(multiply(A,C),multiply(inverse(B),C))).
% 2.74/2.97 799 [new_demod,798] add(add(multiply(A,inverse(B)),multiply(A,C)),multiply(B,C))=add(multiply(A,inverse(B)),add(multiply(A,C),multiply(B,C))).
% 2.74/2.97 811 [new_demod,810] add(add(multiply(A,B),multiply(A,C)),C)=add(multiply(A,B),C).
% 2.74/2.97 818 [new_demod,817] add(multiply(A,B),inverse(B))=add(A,inverse(B)).
% 2.74/2.97 873 [new_demod,872] add(add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D))),add(multiply(C,B),multiply(C,D)))=add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 881 [new_demod,880] add(add(A,B),A)=add(B,A).
% 2.74/2.97 883 [new_demod,882] add(A,add(B,A))=add(B,A).
% 2.74/2.97 1017 [new_demod,1016] add(A,multiply(inverse(A),B))=add(A,B).
% 2.74/2.97 1019 [new_demod,1018] add(inverse(A),multiply(A,B))=add(inverse(A),B).
% 2.74/2.97 1039 [new_demod,1038] add(add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C))),add(multiply(A,C),multiply(D,C)))=add(add(multiply(A,B),multiply(D,B)),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 1070 [new_demod,1069] add(add(multiply(A,multiply(B,C)),multiply(A,D)),add(multiply(B,C),multiply(C,D)))=add(multiply(B,C),add(multiply(A,D),multiply(C,D))).
% 2.74/2.97 1072 [new_demod,1071] multiply(A,multiply(B,multiply(C,A)))=multiply(B,multiply(C,A)).
% 2.74/2.97 1075 [new_demod,1074] add(add(multiply(A,B),multiply(B,C)),add(multiply(D,multiply(A,B)),multiply(D,C)))=add(multiply(A,B),add(multiply(B,C),multiply(D,C))).
% 2.74/2.97 1078 [new_demod,1077] add(add(multiply(multiply(A,B),C),multiply(D,C)),add(multiply(A,B),multiply(D,B)))=add(multiply(A,B),add(multiply(D,C),multiply(D,B))).
% 2.74/2.97 1082 [new_demod,1081] multiply(multiply(A,multiply(B,C)),C)=multiply(A,multiply(B,C)).
% 2.74/2.97 1091 [new_demod,1090] add(add(multiply(A,B),multiply(C,B)),add(multiply(multiply(A,B),D),multiply(C,D)))=add(multiply(A,B),add(multiply(C,B),multiply(C,D))).
% 2.74/2.97 1098 [new_demod,1097] add(add(multiply(A,multiply(B,C)),multiply(A,D)),add(multiply(B,C),multiply(B,D)))=add(multiply(B,C),add(multiply(A,D),multiply(B,D))).
% 2.74/2.97 1100 [new_demod,1099] multiply(A,multiply(multiply(B,A),C))=multiply(multiply(B,A),C).
% 2.74/2.97 1102 [new_demod,1101] add(multiply(multiply(A,B),C),multiply(B,A))=multiply(A,B).
% 2.74/2.97 1105 [new_demod,1104] add(add(multiply(A,B),multiply(A,C)),add(multiply(D,multiply(A,B)),multiply(D,C)))=add(multiply(A,B),add(multiply(A,C),multiply(D,C))).
% 2.74/2.97 1107 [new_demod,1106] add(multiply(A,B),multiply(multiply(B,A),C))=multiply(B,A).
% 2.74/2.97 1109 [new_demod,1108] multiply(multiply(A,B),multiply(B,A))=multiply(B,A).
% 2.74/2.97 1121 [new_demod,1120] add(add(A,B),add(B,A))=add(B,A).
% 2.74/2.97 1124 [new_demod,1123] add(A,add(A,B))=add(A,B).
% 2.74/2.97 1179 [new_demod,1178] add(add(multiply(A,B),multiply(C,A)),A)=A.
% 2.74/2.97 1181 [new_demod,1180] add(add(multiply(A,B),multiply(B,C)),B)=B.
% 2.74/2.97 1183 [new_demod,1182] add(A,add(multiply(B,A),multiply(A,C)))=A.
% 2.74/2.97 1185 [new_demod,1184] add(A,add(multiply(A,B),multiply(C,A)))=A.
% 2.74/2.97 1221 [new_demod,1220] add(add(A,B),multiply(A,B))=add(A,B).
% 2.74/2.97 1223 [new_demod,1222] add(multiply(A,B),add(A,B))=add(A,B).
% 2.74/2.97 1243 [new_demod,1242] multiply(A,multiply(B,multiply(inverse(A),C)))=additive_identity.
% 2.74/2.97 1245 [new_demod,1244] multiply(A,multiply(B,multiply(C,inverse(A))))=additive_identity.
% 2.74/2.97 1247 [new_demod,1246] multiply(inverse(A),multiply(B,multiply(A,C)))=additive_identity.
% 2.74/2.97 1249 [new_demod,1248] multiply(multiply(inverse(A),B),multiply(C,A))=additive_identity.
% 2.74/2.97 1251 [new_demod,1250] multiply(inverse(A),multiply(B,multiply(C,A)))=additive_identity.
% 2.74/2.97 1253 [new_demod,1252] multiply(multiply(A,inverse(B)),multiply(C,B))=additive_identity.
% 2.74/2.97 1255 [new_demod,1254] multiply(multiply(A,B),multiply(C,inverse(A)))=additive_identity.
% 2.74/2.97 1257 [new_demod,1256] multiply(multiply(A,B),multiply(C,inverse(B)))=additive_identity.
% 2.74/2.97 1291 [new_demod,1290] add(add(A,B),multiply(C,A))=add(A,B).
% 2.74/2.97 1293 [new_demod,1292] add(multiply(A,B),add(B,C))=add(B,C).
% 2.74/2.97 1295 [new_demod,1294] multiply(A,multiply(multiply(B,inverse(A)),C))=additive_identity.
% 2.74/2.97 1297 [new_demod,1296] multiply(A,multiply(multiply(inverse(A),B),C))=additive_identity.
% 2.74/2.97 1299 [new_demod,1298] multiply(multiply(multiply(inverse(A),B),C),A)=additive_identity.
% 2.74/2.97 1301 [new_demod,1300] multiply(multiply(A,multiply(inverse(B),C)),B)=additive_identity.
% 2.74/2.97 1303 [new_demod,1302] add(A,multiply(B,multiply(A,C)))=A.
% 2.74/2.97 1305 [new_demod,1304] add(multiply(A,multiply(B,C)),B)=B.
% 2.74/2.97 1307 [new_demod,1306] add(A,multiply(B,multiply(C,A)))=A.
% 2.74/2.97 1309 [new_demod,1308] add(A,multiply(multiply(B,A),C))=A.
% 2.74/2.97 1311 [new_demod,1310] add(A,multiply(multiply(A,B),C))=A.
% 2.74/2.97 1313 [new_demod,1312] add(multiply(multiply(A,B),C),A)=A.
% 2.74/2.97 1315 [new_demod,1314] multiply(multiply(A,multiply(B,C)),inverse(B))=additive_identity.
% 2.74/2.97 1317 [new_demod,1316] add(multiply(A,multiply(B,C)),C)=C.
% 2.74/2.97 1319 [new_demod,1318] add(multiply(multiply(A,B),C),B)=B.
% 2.74/2.97 1321 [new_demod,1320] multiply(multiply(A,multiply(B,C)),inverse(C))=additive_identity.
% 2.74/2.97 1323 [new_demod,1322] multiply(multiply(multiply(A,B),C),inverse(B))=additive_identity.
% 2.74/2.97 1325 [new_demod,1324] multiply(inverse(A),multiply(multiply(B,A),C))=additive_identity.
% 2.74/2.97 1327 [new_demod,1326] multiply(multiply(multiply(A,B),C),inverse(A))=additive_identity.
% 2.74/2.97 1329 [new_demod,1328] multiply(inverse(A),multiply(multiply(A,B),C))=additive_identity.
% 2.74/2.97 1331 [new_demod,1330] multiply(multiply(multiply(A,inverse(B)),C),B)=additive_identity.
% 2.74/2.97 1333 [new_demod,1332] multiply(multiply(A,multiply(B,inverse(C))),C)=additive_identity.
% 2.74/2.97 1335 [new_demod,1334] multiply(multiply(inverse(A),B),multiply(A,C))=additive_identity.
% 2.74/2.97 1337 [new_demod,1336] multiply(multiply(A,B),multiply(inverse(A),C))=additive_identity.
% 2.74/2.97 1339 [new_demod,1338] multiply(multiply(A,B),multiply(inverse(B),C))=additive_identity.
% 2.74/2.97 1341 [new_demod,1340] multiply(multiply(A,inverse(B)),multiply(B,C))=additive_identity.
% 2.74/2.97 1345 [new_demod,1344] add(add(A,B),inverse(B))=multiplicative_identity.
% 2.74/2.97 1353 [new_demod,1352] add(inverse(A),add(B,A))=multiplicative_identity.
% 2.74/2.97 1367 [new_demod,1366] add(A,add(B,inverse(A)))=multiplicative_identity.
% 2.74/2.97 1369 [new_demod,1368] add(A,add(inverse(A),B))=multiplicative_identity.
% 2.74/2.97 1373 [new_demod,1372] add(inverse(A),add(A,B))=multiplicative_identity.
% 2.74/2.97 1375 [new_demod,1374] add(add(A,inverse(B)),B)=multiplicative_identity.
% 2.74/2.97 1377 [new_demod,1376] add(add(A,B),inverse(A))=multiplicative_identity.
% 2.74/2.97 1391 [new_demod,1390] add(add(inverse(A),B),A)=multiplicative_identity.
% 2.74/2.97 1423 [new_demod,1422] add(add(add(A,B),C),inverse(B))=multiplicative_identity.
% 2.74/2.97 1425 [new_demod,1424] add(add(inverse(A),B),add(C,A))=multiplicative_identity.
% 2.74/2.97 1427 [new_demod,1426] add(inverse(A),add(add(B,A),C))=multiplicative_identity.
% 2.74/2.97 1433 [new_demod,1432] add(add(A,B),add(inverse(B),C))=multiplicative_identity.
% 2.74/2.97 1437 [new_demod,1436] add(add(A,add(B,C)),inverse(C))=multiplicative_identity.
% 2.74/2.97 1439 [new_demod,1438] add(add(A,inverse(B)),add(C,B))=multiplicative_identity.
% 2.74/2.97 1441 [new_demod,1440] add(add(A,B),add(C,inverse(A)))=multiplicative_identity.
% 2.74/2.97 1443 [new_demod,1442] add(add(A,B),add(inverse(A),C))=multiplicative_identity.
% 2.74/2.97 1445 [new_demod,1444] add(add(inverse(A),B),add(A,C))=multiplicative_identity.
% 2.74/2.97 1447 [new_demod,1446] add(add(add(A,inverse(B)),C),B)=multiplicative_identity.
% 2.74/2.97 1449 [new_demod,1448] add(add(add(A,B),C),inverse(A))=multiplicative_identity.
% 2.74/2.97 1451 [new_demod,1450] add(A,add(B,add(C,inverse(A))))=multiplicative_identity.
% 2.74/2.97 1453 [new_demod,1452] add(A,add(B,add(inverse(A),C)))=multiplicative_identity.
% 2.74/2.97 1455 [new_demod,1454] add(inverse(A),add(B,add(C,A)))=multiplicative_identity.
% 2.74/2.97 1457 [new_demod,1456] add(inverse(A),add(B,add(A,C)))=multiplicative_identity.
% 2.74/2.97 1459 [new_demod,1458] add(add(add(inverse(A),B),C),A)=multiplicative_identity.
% 2.74/2.97 1461 [new_demod,1460] add(A,add(add(B,inverse(A)),C))=multiplicative_identity.
% 2.74/2.97 1463 [new_demod,1462] add(add(A,inverse(B)),add(B,C))=multiplicative_identity.
% 2.74/2.97 1465 [new_demod,1464] add(inverse(A),add(add(A,B),C))=multiplicative_identity.
% 2.74/2.97 1467 [new_demod,1466] add(A,add(add(inverse(A),B),C))=multiplicative_identity.
% 2.74/2.97 1469 [new_demod,1468] add(add(A,add(B,inverse(C))),C)=multiplicative_identity.
% 2.74/2.97 1471 [new_demod,1470] add(add(A,add(inverse(B),C)),B)=multiplicative_identity.
% 2.74/2.97 1473 [new_demod,1472] add(add(A,add(B,C)),inverse(B))=multiplicative_identity.
% 2.74/2.97 1475 [new_demod,1474] add(add(A,B),add(C,inverse(B)))=multiplicative_identity.
% 2.74/2.97 1495 [new_demod,1494] inverse(add(A,B))=multiply(inverse(B),inverse(A)).
% 2.74/2.97 1503 [new_demod,1502] inverse(multiply(A,B))=add(inverse(B),inverse(A)).
% 2.74/2.97 end_of_list.
% 2.74/2.97
% 2.74/2.97
% 2.74/2.97 -------------- statistics -------------
% 2.74/2.97 clauses given 576
% 2.74/2.97 clauses generated 189868
% 2.74/2.97 clauses kept 853
% 2.74/2.97 clauses forward subsumed 80677
% 2.74/2.97 clauses back subsumed 8
% 2.74/2.97 Kbytes malloced 6835
% 2.74/2.97
% 2.74/2.97 ----------- times (seconds) -----------
% 2.74/2.97 user CPU time 1.06 (0 hr, 0 min, 1 sec)
% 2.74/2.97 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.74/2.97 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.74/2.97
% 2.74/2.97 Process 14724 finished Wed Jul 27 02:21:33 2022
% 2.74/2.97 Otter interrupted
% 2.74/2.97 PROOF NOT FOUND
%------------------------------------------------------------------------------