TSTP Solution File: BOO037-3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : BOO037-3 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 2.51s 2.65s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : BOO037-3 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Jul 27 02:33:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 2.51/2.65 ----- Otter 3.3f, August 2004 -----
% 2.51/2.65 The process was started by sandbox on n022.cluster.edu,
% 2.51/2.65 Wed Jul 27 02:33:20 2022
% 2.51/2.65 The command was "./otter". The process ID is 28489.
% 2.51/2.65
% 2.51/2.65 set(prolog_style_variables).
% 2.51/2.65 set(auto).
% 2.51/2.65 dependent: set(auto1).
% 2.51/2.65 dependent: set(process_input).
% 2.51/2.65 dependent: clear(print_kept).
% 2.51/2.65 dependent: clear(print_new_demod).
% 2.51/2.65 dependent: clear(print_back_demod).
% 2.51/2.65 dependent: clear(print_back_sub).
% 2.51/2.65 dependent: set(control_memory).
% 2.51/2.65 dependent: assign(max_mem, 12000).
% 2.51/2.65 dependent: assign(pick_given_ratio, 4).
% 2.51/2.65 dependent: assign(stats_level, 1).
% 2.51/2.65 dependent: assign(max_seconds, 10800).
% 2.51/2.65 clear(print_given).
% 2.51/2.65
% 2.51/2.65 list(usable).
% 2.51/2.65 0 [] A=A.
% 2.51/2.65 0 [] add(X,Y)=add(Y,X).
% 2.51/2.65 0 [] multiply(X,Y)=multiply(Y,X).
% 2.51/2.65 0 [] add(X,multiply(Y,Z))=multiply(add(X,Y),add(X,Z)).
% 2.51/2.65 0 [] multiply(X,add(Y,Z))=add(multiply(X,Y),multiply(X,Z)).
% 2.51/2.65 0 [] add(X,additive_identity)=X.
% 2.51/2.65 0 [] multiply(X,multiplicative_identity)=X.
% 2.51/2.65 0 [] add(X,inverse(X))=multiplicative_identity.
% 2.51/2.65 0 [] multiply(X,inverse(X))=additive_identity.
% 2.51/2.65 end_of_list.
% 2.51/2.65
% 2.51/2.65 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 2.51/2.65
% 2.51/2.65 All clauses are units, and equality is present; the
% 2.51/2.65 strategy will be Knuth-Bendix with positive clauses in sos.
% 2.51/2.65
% 2.51/2.65 dependent: set(knuth_bendix).
% 2.51/2.65 dependent: set(anl_eq).
% 2.51/2.65 dependent: set(para_from).
% 2.51/2.65 dependent: set(para_into).
% 2.51/2.65 dependent: clear(para_from_right).
% 2.51/2.65 dependent: clear(para_into_right).
% 2.51/2.65 dependent: set(para_from_vars).
% 2.51/2.65 dependent: set(eq_units_both_ways).
% 2.51/2.65 dependent: set(dynamic_demod_all).
% 2.51/2.65 dependent: set(dynamic_demod).
% 2.51/2.65 dependent: set(order_eq).
% 2.51/2.65 dependent: set(back_demod).
% 2.51/2.65 dependent: set(lrpo).
% 2.51/2.65
% 2.51/2.65 There is no negative clause, so all clause lists will
% 2.51/2.65 be printed at the end of the search.
% 2.51/2.65
% 2.51/2.65 dependent: set(print_lists_at_end).
% 2.51/2.65
% 2.51/2.65 ------------> process usable:
% 2.51/2.65
% 2.51/2.65 ------------> process sos:
% 2.51/2.65 ** KEPT (pick-wt=3): 1 [] A=A.
% 2.51/2.65 ** KEPT (pick-wt=7): 2 [] add(A,B)=add(B,A).
% 2.51/2.65 ** KEPT (pick-wt=7): 3 [] multiply(A,B)=multiply(B,A).
% 2.51/2.65 ** KEPT (pick-wt=13): 5 [copy,4,flip.1] multiply(add(A,B),add(A,C))=add(A,multiply(B,C)).
% 2.51/2.65 ---> New Demodulator: 6 [new_demod,5] multiply(add(A,B),add(A,C))=add(A,multiply(B,C)).
% 2.51/2.65 ** KEPT (pick-wt=13): 7 [] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 ---> New Demodulator: 8 [new_demod,7] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 ** KEPT (pick-wt=5): 9 [] add(A,additive_identity)=A.
% 2.51/2.65 ---> New Demodulator: 10 [new_demod,9] add(A,additive_identity)=A.
% 2.51/2.65 ** KEPT (pick-wt=5): 11 [] multiply(A,multiplicative_identity)=A.
% 2.51/2.65 ---> New Demodulator: 12 [new_demod,11] multiply(A,multiplicative_identity)=A.
% 2.51/2.65 ** KEPT (pick-wt=6): 13 [] add(A,inverse(A))=multiplicative_identity.
% 2.51/2.65 ---> New Demodulator: 14 [new_demod,13] add(A,inverse(A))=multiplicative_identity.
% 2.51/2.65 ** KEPT (pick-wt=6): 15 [] multiply(A,inverse(A))=additive_identity.
% 2.51/2.65 ---> New Demodulator: 16 [new_demod,15] multiply(A,inverse(A))=additive_identity.
% 2.51/2.65 Following clause subsumed by 1 during input processing: 0 [copy,1,flip.1] A=A.
% 2.51/2.65 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] add(A,B)=add(B,A).
% 2.51/2.65 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] multiply(A,B)=multiply(B,A).
% 2.51/2.65 >>>> Starting back demodulation with 6.
% 2.51/2.65 >>>> Starting back demodulation with 8.
% 2.51/2.65 >> back demodulating 5 with 8.
% 2.51/2.65 >>>> Starting back demodulation with 10.
% 2.51/2.65 >>>> Starting back demodulation with 12.
% 2.51/2.65 >>>> Starting back demodulation with 14.
% 2.51/2.65 >>>> Starting back demodulation with 16.
% 2.51/2.65 >>>> Starting back demodulation with 18.
% 2.51/2.65
% 2.51/2.65 ======= end of input processing =======
% 2.51/2.65
% 2.51/2.65 =========== start of search ===========
% 2.51/2.65
% 2.51/2.65
% 2.51/2.65 Resetting weight limit to 10.
% 2.51/2.65
% 2.51/2.65
% 2.51/2.65 Resetting weight limit to 10.
% 2.51/2.65
% 2.51/2.65 sos_size=375
% 2.51/2.65
% 2.51/2.65 Search stopped because sos empty.
% 2.51/2.65
% 2.51/2.65
% 2.51/2.65 Search stopped because sos empty.
% 2.51/2.65
% 2.51/2.65 ============ end of search ============
% 2.51/2.65
% 2.51/2.65 list(usable).
% 2.51/2.65 1 [] A=A.
% 2.51/2.65 9 [] add(A,additive_identity)=A.
% 2.51/2.65 11 [] multiply(A,multiplicative_identity)=A.
% 2.51/2.65 13 [] add(A,inverse(A))=multiplicative_identity.
% 2.51/2.65 15 [] multiply(A,inverse(A))=additive_identity.
% 2.51/2.65 2 [] add(A,B)=add(B,A).
% 2.51/2.65 21 [para_into,2.1.1,9.1.1,flip.1] add(additive_identity,A)=A.
% 2.51/2.65 23 [para_into,21.1.1,13.1.1,flip.1] inverse(additive_identity)=multiplicative_identity.
% 2.51/2.65 19 [para_into,2.1.1,13.1.1,flip.1] add(inverse(A),A)=multiplicative_identity.
% 2.51/2.65 3 [] multiply(A,B)=multiply(B,A).
% 2.51/2.65 7 [] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 27 [para_into,3.1.1,11.1.1,flip.1] multiply(multiplicative_identity,A)=A.
% 2.51/2.65 39 [para_into,27.1.1,15.1.1,flip.1] inverse(multiplicative_identity)=additive_identity.
% 2.51/2.65 25 [para_into,3.1.1,15.1.1,flip.1] multiply(inverse(A),A)=additive_identity.
% 2.51/2.65 31 [para_into,7.1.1.2,19.1.1,demod,12,flip.1] add(multiply(A,inverse(B)),multiply(A,B))=A.
% 2.51/2.65 49 [para_into,31.1.1.1,15.1.1,demod,22] multiply(A,A)=A.
% 2.51/2.65 109 [para_into,53.1.1,3.1.1,demod,48] inverse(inverse(A))=A.
% 2.51/2.65 115 [para_into,29.1.1.2,15.1.1,demod,10,16] multiply(A,additive_identity)=additive_identity.
% 2.51/2.65 117 [para_into,115.1.1,3.1.1] multiply(additive_identity,A)=additive_identity.
% 2.51/2.65 119 [back_demod,91,demod,118,10,flip.1] add(A,multiply(A,B))=A.
% 2.51/2.65 33 [para_into,7.1.1.2,13.1.1,demod,12,flip.1] add(multiply(A,B),multiply(A,inverse(B)))=A.
% 2.51/2.65 143 [para_into,119.1.1.2,49.1.1] add(A,A)=A.
% 2.51/2.65 145 [para_into,119.1.1.2,27.1.1] add(multiplicative_identity,A)=multiplicative_identity.
% 2.51/2.65 163 [para_into,145.1.1,2.1.1] add(A,multiplicative_identity)=multiplicative_identity.
% 2.51/2.65 125 [para_from,115.1.1,17.1.1.2,demod,10,116,10] multiply(add(A,B),A)=A.
% 2.51/2.65 37 [para_into,7.1.1,3.1.1] multiply(add(A,B),C)=add(multiply(C,A),multiply(C,B)).
% 2.51/2.65 149 [para_into,119.1.1.2,3.1.1] add(A,multiply(B,A))=A.
% 2.51/2.65 151 [para_into,119.1.1,2.1.1] add(multiply(A,B),A)=A.
% 2.51/2.65 167 [para_into,125.1.1.1,2.1.1] multiply(add(A,B),B)=B.
% 2.51/2.65 190 [para_into,149.1.1,2.1.1] add(multiply(A,B),B)=B.
% 2.51/2.65 38 [copy,37,flip.1] add(multiply(A,B),multiply(A,C))=multiply(add(B,C),A).
% 2.51/2.65 135 [back_demod,81,demod,126] add(A,add(A,B))=add(A,B).
% 2.51/2.65 165 [para_into,125.1.1.1,33.1.1] multiply(A,multiply(A,B))=multiply(A,B).
% 2.51/2.65 173 [para_from,125.1.1,119.1.1.2] add(add(A,B),A)=add(A,B).
% 2.51/2.65 200 [para_into,167.1.1.1,149.1.1] multiply(A,multiply(B,A))=multiply(B,A).
% 2.51/2.65 274 [para_into,41.1.1.1.1.1,190.1.1,demod,191,26,10] multiply(inverse(A),multiply(B,A))=additive_identity.
% 2.51/2.65 278 [para_into,41.1.1.1.1.1,151.1.1,demod,152,26,10] multiply(inverse(A),multiply(A,B))=additive_identity.
% 2.51/2.65 51 [para_into,31.1.1.1,3.1.1] add(multiply(inverse(A),B),multiply(B,A))=B.
% 2.51/2.65 294 [para_into,274.1.1.1,109.1.1] multiply(A,multiply(B,inverse(A)))=additive_identity.
% 2.51/2.65 298 [para_into,274.1.1,3.1.1] multiply(multiply(A,B),inverse(B))=additive_identity.
% 2.51/2.65 314 [para_into,278.1.1.1,109.1.1] multiply(A,multiply(inverse(A),B))=additive_identity.
% 2.51/2.65 316 [para_into,278.1.1,3.1.1] multiply(multiply(A,B),inverse(A))=additive_identity.
% 2.51/2.65 366 [para_into,294.1.1,3.1.1] multiply(multiply(A,inverse(B)),B)=additive_identity.
% 2.51/2.65 471 [para_into,314.1.1,3.1.1] multiply(multiply(inverse(A),B),A)=additive_identity.
% 2.51/2.65 57 [para_into,31.1.1.2,3.1.1] add(multiply(A,inverse(B)),multiply(B,A))=A.
% 2.51/2.65 206 [para_from,167.1.1,151.1.1.1] add(A,add(B,A))=add(B,A).
% 2.51/2.65 208 [para_from,167.1.1,119.1.1.2] add(add(A,B),B)=add(A,B).
% 2.51/2.65 252 [para_into,165.1.1,3.1.1] multiply(multiply(A,B),A)=multiply(A,B).
% 2.51/2.65 264 [para_into,200.1.1,3.1.1] multiply(multiply(A,B),B)=multiply(A,B).
% 2.51/2.65 59 [para_from,31.1.1,7.1.1.2,flip.1] add(multiply(A,multiply(B,inverse(C))),multiply(A,multiply(B,C)))=multiply(A,B).
% 2.51/2.65 62 [para_into,17.1.1.1.1,19.1.1,demod,28,20,28,flip.1] add(inverse(A),multiply(A,B))=add(inverse(A),B).
% 2.51/2.65 712 [para_into,688.1.1.1.1,167.1.1] add(inverse(A),add(B,A))=multiplicative_identity.
% 2.51/2.65 66 [para_into,17.1.1.1.1,13.1.1,demod,28,14,28,flip.1] add(A,multiply(inverse(A),B))=add(A,B).
% 2.51/2.65 714 [para_into,688.1.1.1.1,125.1.1] add(inverse(A),add(A,B))=multiplicative_identity.
% 2.51/2.65 726 [para_into,712.1.1.1,109.1.1] add(A,add(B,inverse(A)))=multiplicative_identity.
% 2.51/2.65 734 [para_into,712.1.1,2.1.1] add(add(A,B),inverse(B))=multiplicative_identity.
% 2.51/2.65 86 [para_into,17.1.1,31.1.1,flip.1] add(inverse(A),multiply(B,A))=add(inverse(A),B).
% 2.51/2.65 758 [para_into,714.1.1.1,109.1.1] add(A,add(inverse(A),B))=multiplicative_identity.
% 2.51/2.65 762 [para_into,714.1.1,2.1.1] add(add(A,B),inverse(A))=multiplicative_identity.
% 2.51/2.65 768 [para_into,726.1.1,2.1.1] add(add(A,inverse(B)),B)=multiplicative_identity.
% 2.51/2.65 804 [para_into,758.1.1,2.1.1] add(add(inverse(A),B),A)=multiplicative_identity.
% 2.51/2.65 121 [back_demod,75,demod,120] add(A,multiply(add(A,B),C))=add(A,multiply(B,C)).
% 2.51/2.65 844 [para_into,121.1.1.2.1,149.1.1,demod,120,flip.1] add(A,multiply(multiply(B,A),C))=A.
% 2.51/2.65 846 [para_into,121.1.1.2.1,119.1.1,demod,120,flip.1] add(A,multiply(multiply(A,B),C))=A.
% 2.51/2.65 127 [back_demod,93,demod,126] add(multiply(A,B),multiply(A,multiply(add(B,C),D)))=add(multiply(A,B),multiply(A,multiply(C,D))).
% 2.51/2.65 918 [para_into,844.1.1.2,200.1.1] add(A,multiply(B,multiply(C,A)))=A.
% 2.51/2.65 922 [para_into,844.1.1,2.1.1] add(multiply(multiply(A,B),C),B)=B.
% 2.51/2.65 129 [back_demod,92,demod,126] add(A,multiply(B,C))=add(A,add(multiply(C,A),multiply(C,B))).
% 2.51/2.65 938 [para_into,846.1.1.2,200.1.1] add(A,multiply(B,multiply(A,C)))=A.
% 2.51/2.65 940 [para_into,846.1.1,2.1.1] add(multiply(multiply(A,B),C),A)=A.
% 2.51/2.65 956 [para_into,918.1.1,2.1.1] add(multiply(A,multiply(B,C)),C)=C.
% 2.51/2.65 966 [para_into,938.1.1,2.1.1] add(multiply(A,multiply(B,C)),B)=B.
% 2.51/2.65 130 [back_demod,88,demod,126] add(multiply(add(A,B),C),A)=add(A,multiply(B,C)).
% 2.51/2.65 157 [para_into,33.1.1.1,3.1.1] add(multiply(A,B),multiply(B,inverse(A)))=B.
% 2.51/2.65 159 [para_into,33.1.1.2,3.1.1] add(multiply(A,B),multiply(inverse(B),A))=A.
% 2.51/2.65 175 [para_from,125.1.1,33.1.1.1,demod,122] add(A,multiply(B,inverse(A)))=add(A,B).
% 2.51/2.65 217 [para_into,38.1.1.1,15.1.1,demod,22,flip.1] multiply(add(inverse(A),B),A)=multiply(A,B).
% 2.51/2.65 132 [back_demod,85,demod,126] add(A,add(multiply(B,A),multiply(B,C)))=add(A,multiply(C,B)).
% 2.51/2.65 224 [para_into,38.1.1.2,15.1.1,demod,10,flip.1] multiply(add(A,inverse(B)),B)=multiply(B,A).
% 2.51/2.65 133 [back_demod,83,demod,126] add(A,add(multiply(add(A,B),C),multiply(add(A,B),D)))=add(A,add(multiply(B,C),multiply(B,D))).
% 2.51/2.65 342 [para_into,51.1.1.2,167.1.1,demod,8,26,10] add(multiply(inverse(A),B),A)=add(B,A).
% 2.51/2.65 348 [para_into,51.1.1.2,3.1.1] add(multiply(inverse(A),B),multiply(A,B))=B.
% 2.51/2.65 139 [back_demod,77,demod,126] add(A,multiply(add(B,A),C))=add(A,multiply(B,C)).
% 2.51/2.65 926 [para_from,844.1.1,292.1.1.2.1] multiply(multiply(multiply(A,B),C),inverse(B))=additive_identity.
% 2.51/2.65 141 [back_demod,64,demod,126,126,126,122] add(A,multiply(multiply(add(A,B),C),D))=add(A,multiply(multiply(B,C),D)).
% 2.51/2.65 934 [para_from,844.1.1,280.1.1.1.1] multiply(inverse(A),multiply(multiply(B,A),C))=additive_identity.
% 2.51/2.65 944 [para_from,846.1.1,292.1.1.2.1] multiply(multiply(multiply(A,B),C),inverse(A))=additive_identity.
% 2.51/2.65 147 [para_into,119.1.1.2,7.1.1] add(A,add(multiply(A,B),multiply(A,C)))=A.
% 2.51/2.65 948 [para_from,846.1.1,280.1.1.1.1] multiply(inverse(A),multiply(multiply(A,B),C))=additive_identity.
% 2.51/2.65 153 [para_from,119.1.1,7.1.1.2,flip.1] add(multiply(A,B),multiply(A,multiply(B,C)))=multiply(A,B).
% 2.51/2.65 960 [para_from,918.1.1,292.1.1.2.1] multiply(multiply(A,multiply(B,C)),inverse(C))=additive_identity.
% 2.51/2.65 964 [para_from,918.1.1,280.1.1.1.1] multiply(inverse(A),multiply(B,multiply(C,A)))=additive_identity.
% 2.51/2.65 968 [para_from,938.1.1,292.1.1.2.1] multiply(multiply(A,multiply(B,C)),inverse(B))=additive_identity.
% 2.51/2.65 972 [para_from,938.1.1,280.1.1.1.1] multiply(inverse(A),multiply(B,multiply(A,C)))=additive_identity.
% 2.51/2.65 161 [para_from,33.1.1,7.1.1.2,flip.1] add(multiply(A,multiply(B,C)),multiply(A,multiply(B,inverse(C))))=multiply(A,B).
% 2.51/2.65 974 [para_into,157.1.1.2,3.1.1] add(multiply(A,B),multiply(inverse(A),B))=B.
% 2.51/2.65 976 [para_into,175.1.1,2.1.1] add(multiply(A,inverse(B)),B)=add(B,A).
% 2.51/2.65 978 [para_into,217.1.1.1,938.1.1,demod,26,flip.1] multiply(A,multiply(B,multiply(inverse(A),C)))=additive_identity.
% 2.51/2.65 980 [para_into,217.1.1.1,918.1.1,demod,26,flip.1] multiply(A,multiply(B,multiply(C,inverse(A))))=additive_identity.
% 2.51/2.65 982 [para_into,217.1.1.1,846.1.1,demod,26,flip.1] multiply(A,multiply(multiply(inverse(A),B),C))=additive_identity.
% 2.51/2.65 984 [para_into,217.1.1.1,844.1.1,demod,26,flip.1] multiply(A,multiply(multiply(B,inverse(A)),C))=additive_identity.
% 2.51/2.65 171 [back_demod,90,demod,166] add(multiply(A,inverse(B)),multiply(multiply(A,B),C))=add(multiply(A,inverse(B)),multiply(A,C)).
% 2.51/2.65 990 [para_into,926.1.1.1.1,483.1.1,demod,110] multiply(multiply(A,B),multiply(inverse(A),C))=additive_identity.
% 2.51/2.65 992 [para_into,926.1.1.1.1,374.1.1,demod,110] multiply(multiply(A,B),multiply(C,inverse(A)))=additive_identity.
% 2.51/2.65 994 [para_into,926.1.1.1.1,320.1.1,demod,110] multiply(multiply(inverse(A),B),multiply(A,C))=additive_identity.
% 2.51/2.65 996 [para_into,926.1.1.1.1,302.1.1,demod,110] multiply(multiply(inverse(A),B),multiply(C,A))=additive_identity.
% 2.51/2.65 177 [para_into,37.1.1.1,2.1.1] multiply(add(A,B),C)=add(multiply(C,B),multiply(C,A)).
% 2.51/2.65 998 [para_into,926.1.1.2,109.1.1] multiply(multiply(multiply(A,inverse(B)),C),B)=additive_identity.
% 2.51/2.65 1000 [para_into,934.1.1.2.1,374.1.1,demod,110] multiply(multiply(A,inverse(B)),multiply(B,C))=additive_identity.
% 2.51/2.65 1002 [para_into,934.1.1.2.1,302.1.1,demod,110] multiply(multiply(A,B),multiply(inverse(B),C))=additive_identity.
% 2.51/2.65 178 [para_into,37.1.1,7.1.1] add(multiply(add(A,B),C),multiply(add(A,B),D))=add(multiply(add(C,D),A),multiply(add(C,D),B)).
% 2.51/2.65 1012 [para_into,944.1.1.2,109.1.1] multiply(multiply(multiply(inverse(A),B),C),A)=additive_identity.
% 2.51/2.65 179 [copy,177,flip.1] add(multiply(A,B),multiply(A,C))=multiply(add(C,B),A).
% 2.51/2.65 180 [para_from,37.1.1,33.1.1.2] add(multiply(add(A,B),C),add(multiply(inverse(C),A),multiply(inverse(C),B)))=add(A,B).
% 2.51/2.65 1104 [para_from,1026.1.1,974.1.1.2,demod,10] multiply(add(A,add(B,C)),C)=C.
% 2.51/2.65 182 [para_from,37.1.1,31.1.1.1] add(add(multiply(inverse(A),B),multiply(inverse(A),C)),multiply(add(B,C),A))=add(B,C).
% 2.51/2.65 1106 [para_into,1104.1.1.1.2,976.1.1] multiply(add(A,add(B,C)),B)=B.
% 2.51/2.65 1108 [para_into,1104.1.1.1,976.1.1] multiply(add(add(A,B),C),B)=B.
% 2.51/2.65 1112 [para_into,1106.1.1.1,976.1.1] multiply(add(add(A,B),C),A)=A.
% 2.51/2.65 184 [para_from,37.1.1,119.1.1.2] add(add(A,B),add(multiply(C,A),multiply(C,B)))=add(A,B).
% 2.51/2.65 1032 [para_into,960.1.1.1.2,374.1.1,demod,110] multiply(multiply(A,B),multiply(C,inverse(B)))=additive_identity.
% 2.51/2.65 1034 [para_into,960.1.1.1.2,302.1.1,demod,110] multiply(multiply(A,inverse(B)),multiply(C,B))=additive_identity.
% 2.51/2.65 1036 [para_into,960.1.1.2,109.1.1] multiply(multiply(A,multiply(B,inverse(C))),C)=additive_identity.
% 2.51/2.65 186 [para_from,37.1.1,33.1.1.1] add(add(multiply(A,B),multiply(A,C)),multiply(add(B,C),inverse(A)))=add(B,C).
% 2.51/2.65 1042 [para_into,968.1.1.2,109.1.1] multiply(multiply(A,multiply(inverse(B),C)),B)=additive_identity.
% 2.51/2.65 188 [para_from,37.1.1,31.1.1.2] add(multiply(add(A,B),inverse(C)),add(multiply(C,A),multiply(C,B)))=add(A,B).
% 2.51/2.65 192 [para_from,149.1.1,7.1.1.2,flip.1] add(multiply(A,B),multiply(A,multiply(C,B)))=multiply(A,B).
% 2.51/2.65 194 [para_into,151.1.1.1,37.1.1] add(add(multiply(A,B),multiply(A,C)),add(B,C))=add(B,C).
% 2.51/2.65 1068 [para_into,1004.1.1.1.1,167.1.1] add(inverse(A),add(B,add(C,A)))=multiplicative_identity.
% 2.51/2.65 196 [para_into,151.1.1.1,7.1.1] add(add(multiply(A,B),multiply(A,C)),A)=A.
% 2.51/2.65 1070 [para_into,1004.1.1.1.1,125.1.1] add(inverse(A),add(B,add(A,C)))=multiplicative_identity.
% 2.51/2.65 1072 [para_into,1006.1.1.1.1,167.1.1] add(inverse(A),add(add(B,A),C))=multiplicative_identity.
% 2.51/2.65 1074 [para_into,1006.1.1.1.1,125.1.1] add(inverse(A),add(add(A,B),C))=multiplicative_identity.
% 2.51/2.65 198 [para_from,151.1.1,7.1.1.2,flip.1] add(multiply(A,multiply(B,C)),multiply(A,B))=multiply(A,B).
% 2.51/2.65 212 [para_from,190.1.1,7.1.1.2,flip.1] add(multiply(A,multiply(B,C)),multiply(A,C))=multiply(A,C).
% 2.51/2.65 1088 [para_into,1014.1.1.2.1,167.1.1] add(add(A,add(B,C)),inverse(C))=multiplicative_identity.
% 2.51/2.65 1090 [para_into,1014.1.1.2.1,125.1.1] add(add(A,add(B,C)),inverse(B))=multiplicative_identity.
% 2.51/2.65 214 [para_into,38.1.1.1,167.1.1,demod,140,8,126,131] add(A,multiply(B,C))=add(A,multiply(C,B)).
% 2.51/2.65 1096 [para_into,1016.1.1.2.1,167.1.1] add(add(add(A,B),C),inverse(B))=multiplicative_identity.
% 2.51/2.65 1098 [para_into,1016.1.1.2.1,125.1.1] add(add(add(A,B),C),inverse(A))=multiplicative_identity.
% 2.51/2.65 215 [para_into,38.1.1.1,37.1.1,demod,8] add(add(multiply(A,B),multiply(A,C)),multiply(add(B,C),D))=add(multiply(add(A,D),B),multiply(add(A,D),C)).
% 2.51/2.65 1110 [para_from,1104.1.1,175.1.1.2,demod,14,flip.1] add(A,add(B,add(C,inverse(A))))=multiplicative_identity.
% 2.51/2.65 1114 [para_from,1106.1.1,175.1.1.2,demod,14,flip.1] add(A,add(B,add(inverse(A),C)))=multiplicative_identity.
% 2.51/2.65 1116 [para_from,1108.1.1,175.1.1.2,demod,14,flip.1] add(A,add(add(B,inverse(A)),C))=multiplicative_identity.
% 2.51/2.65 216 [para_into,38.1.1.1,25.1.1,demod,22] multiply(inverse(A),B)=multiply(add(A,B),inverse(A)).
% 2.51/2.65 1118 [para_from,1112.1.1,175.1.1.2,demod,14,flip.1] add(A,add(add(inverse(A),B),C))=multiplicative_identity.
% 2.51/2.65 1120 [para_into,1048.1.1.2.2.1,167.1.1] add(add(A,B),add(C,inverse(B)))=multiplicative_identity.
% 2.51/2.65 1122 [para_into,1048.1.1.2.2.1,125.1.1] add(add(A,B),add(C,inverse(A)))=multiplicative_identity.
% 2.51/2.65 1124 [para_into,1052.1.1.2.1.1,167.1.1] add(add(A,B),add(inverse(B),C))=multiplicative_identity.
% 2.51/2.65 219 [para_into,38.1.1.1,7.1.1] add(add(multiply(A,B),multiply(A,C)),multiply(A,D))=multiply(add(add(B,C),D),A).
% 2.51/2.65 1126 [para_into,1052.1.1.2.1.1,125.1.1] add(add(A,B),add(inverse(A),C))=multiplicative_identity.
% 2.51/2.65 1128 [para_into,1068.1.1.2.2,740.1.1,demod,110] add(add(inverse(A),B),add(C,A))=multiplicative_identity.
% 2.51/2.65 1130 [para_into,1068.1.1.2.2,738.1.1,demod,110] add(add(A,inverse(B)),add(C,B))=multiplicative_identity.
% 2.51/2.65 1132 [para_into,1072.1.1.2.1,740.1.1,demod,110] add(add(inverse(A),B),add(A,C))=multiplicative_identity.
% 2.51/2.65 220 [para_into,38.1.1.1,3.1.1] add(multiply(A,B),multiply(B,C))=multiply(add(A,C),B).
% 2.51/2.65 1134 [para_into,1072.1.1.2.1,738.1.1,demod,110] add(add(A,inverse(B)),add(B,C))=multiplicative_identity.
% 2.51/2.65 1136 [para_into,1088.1.1.2,109.1.1] add(add(A,add(B,inverse(C))),C)=multiplicative_identity.
% 2.51/2.65 1138 [para_into,1090.1.1.1.2,86.1.1,demod,110] add(add(A,add(inverse(B),C)),B)=multiplicative_identity.
% 2.51/2.65 1140 [para_into,1096.1.1.2,109.1.1] add(add(add(A,inverse(B)),C),B)=multiplicative_identity.
% 2.51/2.65 221 [para_into,38.1.1.2,167.1.1,demod,8,168] add(multiply(add(A,B),C),B)=add(multiply(add(C,B),A),B).
% 2.51/2.65 1142 [para_into,1098.1.1.1.1,86.1.1,demod,110] add(add(add(inverse(A),B),C),A)=multiplicative_identity.
% 2.51/2.65 1144 [para_from,216.1.1,190.1.1.1] add(multiply(add(A,B),inverse(A)),B)=B.
% 2.51/2.65 223 [para_into,38.1.1.2,25.1.1,demod,10] multiply(inverse(A),B)=multiply(add(B,A),inverse(A)).
% 2.51/2.65 229 [copy,216,flip.1] multiply(add(A,B),inverse(A))=multiply(inverse(A),B).
% 2.51/2.65 222 [para_into,38.1.1.2,37.1.1,demod,8] add(multiply(add(A,B),C),add(multiply(D,A),multiply(D,B)))=add(multiply(add(C,D),A),multiply(add(C,D),B)).
% 2.51/2.65 233 [copy,223,flip.1] multiply(add(A,B),inverse(B))=multiply(inverse(B),A).
% 2.51/2.65 234 [back_demod,204,demod,225] add(multiply(A,B),inverse(A))=add(B,inverse(A)).
% 2.51/2.65 226 [para_into,38.1.1.2,7.1.1] add(multiply(A,B),add(multiply(A,C),multiply(A,D)))=multiply(add(B,add(C,D)),A).
% 2.51/2.65 525 [para_from,252.1.1,38.1.1.2,demod,152,flip.1] multiply(add(A,B),multiply(B,C))=multiply(B,C).
% 2.51/2.65 527 [para_from,252.1.1,38.1.1.1,demod,120,flip.1] multiply(add(A,B),multiply(A,C))=multiply(A,C).
% 2.51/2.65 529 [para_from,264.1.1,38.1.1.2,demod,152,flip.1] multiply(add(A,B),multiply(C,B))=multiply(C,B).
% 2.51/2.65 531 [para_from,264.1.1,38.1.1.1,demod,120,flip.1] multiply(add(A,B),multiply(C,A))=multiply(C,A).
% 2.51/2.65 227 [para_into,38.1.1.2,3.1.1] add(multiply(A,B),multiply(C,A))=multiply(add(B,C),A).
% 2.51/2.65 228 [copy,215,flip.1] add(multiply(add(A,B),C),multiply(add(A,B),D))=add(add(multiply(A,C),multiply(A,D)),multiply(add(C,D),B)).
% 2.51/2.65 782 [para_into,86.1.1,2.1.1] add(multiply(A,B),inverse(B))=add(inverse(B),A).
% 2.51/2.65 783 [copy,782,flip.1] add(inverse(A),B)=add(multiply(B,A),inverse(A)).
% 2.51/2.65 840 [para_into,121.1.1.2.1,208.1.1,demod,120,flip.1] add(add(A,B),multiply(B,C))=add(A,B).
% 2.51/2.65 842 [para_into,121.1.1.2.1,173.1.1,demod,120,flip.1] add(add(A,B),multiply(A,C))=add(A,B).
% 2.51/2.65 230 [copy,219,flip.1] multiply(add(add(A,B),C),D)=add(add(multiply(D,A),multiply(D,B)),multiply(D,C)).
% 2.51/2.65 936 [para_from,844.1.1,121.1.1.2.1,demod,120,flip.1] add(A,multiply(multiply(multiply(B,A),C),D))=A.
% 2.51/2.65 231 [copy,220,flip.1] multiply(add(A,B),C)=add(multiply(A,C),multiply(C,B)).
% 2.51/2.65 232 [copy,222,flip.1] add(multiply(add(A,B),C),multiply(add(A,B),D))=add(multiply(add(C,D),A),add(multiply(B,C),multiply(B,D))).
% 2.51/2.65 236 [copy,226,flip.1] multiply(add(A,add(B,C)),D)=add(multiply(D,A),add(multiply(D,B),multiply(D,C))).
% 2.51/2.65 237 [copy,227,flip.1] multiply(add(A,B),C)=add(multiply(C,A),multiply(B,C)).
% 2.51/2.65 238 [para_from,38.1.1,7.1.1.2] multiply(A,multiply(add(B,C),D))=add(multiply(A,multiply(D,B)),multiply(A,multiply(D,C))).
% 2.51/2.65 370 [para_from,294.1.1,38.1.1.2,demod,10,flip.1] multiply(add(A,multiply(B,inverse(C))),C)=multiply(C,A).
% 2.51/2.65 239 [para_from,38.1.1,167.1.1.1] multiply(multiply(add(A,B),C),multiply(C,B))=multiply(C,B).
% 2.51/2.65 1163 [para_into,1159.1.1.1.2,109.1.1] inverse(add(A,B))=multiply(inverse(A),inverse(B)).
% 2.51/2.65 1171 [para_into,1167.1.1.1.2,109.1.1] inverse(multiply(A,B))=add(inverse(A),inverse(B)).
% 2.51/2.65 241 [para_from,38.1.1,125.1.1.1] multiply(multiply(add(A,B),C),multiply(C,A))=multiply(C,A).
% 2.51/2.65 372 [para_from,294.1.1,38.1.1.1,demod,22,flip.1] multiply(add(multiply(A,inverse(B)),C),B)=multiply(B,C).
% 2.51/2.65 376 [para_into,298.1.1.1,37.1.1] multiply(add(multiply(A,B),multiply(A,C)),inverse(A))=additive_identity.
% 2.51/2.65 477 [para_from,314.1.1,38.1.1.2,demod,10,flip.1] multiply(add(A,multiply(inverse(B),C)),B)=multiply(B,A).
% 2.51/2.65 481 [para_from,314.1.1,38.1.1.1,demod,22,flip.1] multiply(add(multiply(inverse(A),B),C),A)=multiply(A,C).
% 2.51/2.65 243 [para_from,38.1.1,37.1.1.1] multiply(multiply(add(A,B),C),D)=add(multiply(D,multiply(C,A)),multiply(D,multiply(C,B))).
% 2.51/2.65 748 [para_from,66.1.1,206.1.1.2,demod,67] add(multiply(inverse(A),B),add(A,B))=add(A,B).
% 2.51/2.65 822 [para_into,121.1.1.2.1,758.1.1,demod,28,flip.1] add(A,multiply(add(inverse(A),B),C))=add(A,C).
% 2.51/2.65 826 [para_into,121.1.1.2.1,726.1.1,demod,28,flip.1] add(A,multiply(add(B,inverse(A)),C))=add(A,C).
% 2.51/2.65 300 [para_from,274.1.1,38.1.1.2,demod,10] multiply(inverse(A),B)=multiply(add(B,multiply(C,A)),inverse(A)).
% 2.51/2.65 244 [copy,238,flip.1] add(multiply(A,multiply(B,C)),multiply(A,multiply(B,D)))=multiply(A,multiply(add(C,D),B)).
% 2.51/2.65 301 [para_from,274.1.1,38.1.1.1,demod,22] multiply(inverse(A),B)=multiply(add(multiply(C,A),B),inverse(A)).
% 2.51/2.65 304 [copy,300,flip.1] multiply(add(A,multiply(B,C)),inverse(C))=multiply(inverse(C),A).
% 2.51/2.65 305 [copy,301,flip.1] multiply(add(multiply(A,B),C),inverse(B))=multiply(inverse(B),C).
% 2.51/2.65 318 [para_from,278.1.1,38.1.1.2,demod,10] multiply(inverse(A),B)=multiply(add(B,multiply(A,C)),inverse(A)).
% 2.51/2.65 245 [copy,243,flip.1] add(multiply(A,multiply(B,C)),multiply(A,multiply(B,D)))=multiply(multiply(add(C,D),B),A).
% 2.51/2.65 319 [para_from,278.1.1,38.1.1.1,demod,22] multiply(inverse(A),B)=multiply(add(multiply(A,C),B),inverse(A)).
% 2.51/2.65 322 [copy,318,flip.1] multiply(add(A,multiply(B,C)),inverse(B))=multiply(inverse(B),A).
% 2.51/2.65 323 [copy,319,flip.1] multiply(add(multiply(A,B),C),inverse(A))=multiply(inverse(A),C).
% 2.51/2.65 576 [para_into,59.1.1.2,264.1.1,demod,152,flip.1] multiply(multiply(A,multiply(B,C)),B)=multiply(A,multiply(B,C)).
% 2.51/2.65 246 [para_into,135.1.1.2,38.1.1] add(multiply(A,B),multiply(add(B,C),A))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 578 [para_into,59.1.1.2,252.1.1,demod,152,flip.1] multiply(multiply(multiply(A,B),C),A)=multiply(multiply(A,B),C).
% 2.51/2.65 698 [para_from,62.1.1,206.1.1.2,demod,63] add(multiply(A,B),add(inverse(A),B))=add(inverse(A),B).
% 2.51/2.65 788 [para_from,86.1.1,206.1.1.2,demod,87] add(multiply(A,B),add(inverse(B),A))=add(inverse(B),A).
% 2.51/2.65 830 [para_into,121.1.1.2.1,714.1.1,demod,28,flip.1] add(inverse(A),multiply(add(A,B),C))=add(inverse(A),C).
% 2.51/2.65 247 [copy,246,flip.1] add(multiply(A,B),multiply(A,C))=add(multiply(A,B),multiply(add(B,C),A)).
% 2.51/2.65 832 [para_into,121.1.1.2.1,712.1.1,demod,28,flip.1] add(inverse(A),multiply(add(B,A),C))=add(inverse(A),C).
% 2.51/2.65 914 [para_into,844.1.1.2.1,37.1.1] add(A,multiply(add(multiply(A,B),multiply(A,C)),D))=A.
% 2.51/2.65 932 [para_from,844.1.1,167.1.1.1] multiply(A,multiply(multiply(B,A),C))=multiply(multiply(B,A),C).
% 2.51/2.65 380 [para_from,298.1.1,38.1.1.2,demod,10] multiply(multiply(A,B),C)=multiply(add(C,inverse(B)),multiply(A,B)).
% 2.51/2.65 250 [para_into,165.1.1,37.1.1] add(multiply(multiply(add(A,B),C),A),multiply(multiply(add(A,B),C),B))=multiply(add(A,B),C).
% 2.51/2.65 381 [para_from,298.1.1,38.1.1.1,demod,22] multiply(multiply(A,B),C)=multiply(add(inverse(B),C),multiply(A,B)).
% 2.51/2.65 382 [copy,380,flip.1] multiply(add(A,inverse(B)),multiply(C,B))=multiply(multiply(C,B),A).
% 2.51/2.65 383 [copy,381,flip.1] multiply(add(inverse(A),B),multiply(C,A))=multiply(multiply(C,A),B).
% 2.51/2.65 487 [para_from,316.1.1,38.1.1.2,demod,10] multiply(multiply(A,B),C)=multiply(add(C,inverse(A)),multiply(A,B)).
% 2.51/2.65 254 [para_from,165.1.1,38.1.1.2,flip.1] multiply(add(A,multiply(B,C)),B)=add(multiply(B,A),multiply(B,C)).
% 2.51/2.65 490 [para_from,316.1.1,38.1.1.1,demod,22] multiply(multiply(A,B),C)=multiply(add(inverse(A),C),multiply(A,B)).
% 2.51/2.65 491 [copy,487,flip.1] multiply(add(A,inverse(B)),multiply(B,C))=multiply(multiply(B,C),A).
% 2.51/2.65 492 [copy,490,flip.1] multiply(add(inverse(A),B),multiply(A,C))=multiply(multiply(A,C),B).
% 2.51/2.65 736 [para_from,712.1.1,55.1.1.1.2.1,demod,40,116,8,22] add(multiply(A,inverse(B)),add(multiply(A,C),multiply(A,B)))=A.
% 2.51/2.65 256 [para_from,165.1.1,38.1.1.1,flip.1] multiply(add(multiply(A,B),C),A)=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 764 [para_from,714.1.1,55.1.1.1.2.1,demod,40,116,8,22] add(multiply(A,inverse(B)),add(multiply(A,B),multiply(A,C)))=A.
% 2.51/2.65 770 [para_from,726.1.1,55.1.1.1.2.1,demod,40,116,8,22] add(multiply(A,B),add(multiply(A,C),multiply(A,inverse(B))))=A.
% 2.51/2.65 780 [para_from,734.1.1,55.1.1.1.2.1,demod,40,116,8,22] add(add(multiply(A,B),multiply(A,C)),multiply(A,inverse(C)))=A.
% 2.51/2.65 806 [para_from,758.1.1,55.1.1.1.2.1,demod,40,116,8,22] add(multiply(A,B),add(multiply(A,inverse(B)),multiply(A,C)))=A.
% 2.51/2.65 260 [para_into,173.1.1.1,38.1.1] add(multiply(add(A,B),C),multiply(C,A))=add(multiply(C,A),multiply(C,B)).
% 2.51/2.65 810 [para_from,762.1.1,55.1.1.1.2.1,demod,40,116,8,22] add(add(multiply(A,B),multiply(A,C)),multiply(A,inverse(B)))=A.
% 2.51/2.65 812 [para_from,768.1.1,55.1.1.1.2.1,demod,40,116,8,22] add(add(multiply(A,B),multiply(A,inverse(C))),multiply(A,C))=A.
% 2.51/2.65 814 [para_from,804.1.1,55.1.1.1.2.1,demod,40,116,8,22] add(add(multiply(A,inverse(B)),multiply(A,C)),multiply(A,B))=A.
% 2.51/2.65 820 [para_into,121.1.1.2.1,762.1.1,demod,28,flip.1] add(add(A,B),multiply(inverse(A),C))=add(add(A,B),C).
% 2.51/2.65 261 [copy,260,flip.1] add(multiply(A,B),multiply(A,C))=add(multiply(add(B,C),A),multiply(A,B)).
% 2.51/2.65 824 [para_into,121.1.1.2.1,734.1.1,demod,28,flip.1] add(add(A,B),multiply(inverse(B),C))=add(add(A,B),C).
% 2.51/2.65 850 [para_into,121.1.1.2.1,66.1.1,demod,122,flip.1] add(A,multiply(multiply(inverse(A),B),C))=add(A,multiply(B,C)).
% 2.51/2.65 266 [para_from,200.1.1,38.1.1.2,flip.1] multiply(add(A,multiply(B,C)),C)=add(multiply(C,A),multiply(B,C)).
% 2.51/2.65 268 [para_from,200.1.1,38.1.1.1,flip.1] multiply(add(multiply(A,B),C),B)=add(multiply(A,B),multiply(B,C)).
% 2.51/2.65 272 [back_demod,262,demod,269,267] 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)).
% 2.51/2.65 495 [para_from,366.1.1,38.1.1.2,demod,10] multiply(multiply(A,inverse(B)),C)=multiply(add(C,B),multiply(A,inverse(B))).
% 2.51/2.65 498 [para_from,366.1.1,38.1.1.1,demod,22] multiply(multiply(A,inverse(B)),C)=multiply(add(B,C),multiply(A,inverse(B))).
% 2.51/2.65 499 [copy,495,flip.1] multiply(add(A,B),multiply(C,inverse(B)))=multiply(multiply(C,inverse(B)),A).
% 2.51/2.65 500 [copy,498,flip.1] multiply(add(A,B),multiply(C,inverse(A)))=multiply(multiply(C,inverse(A)),B).
% 2.51/2.65 344 [para_into,51.1.1.2,37.1.1,demod,8] add(add(multiply(inverse(A),B),multiply(inverse(A),C)),add(multiply(A,B),multiply(A,C)))=add(B,C).
% 2.51/2.65 503 [para_from,471.1.1,38.1.1.2,demod,10] multiply(multiply(inverse(A),B),C)=multiply(add(C,A),multiply(inverse(A),B)).
% 2.51/2.65 506 [para_from,471.1.1,38.1.1.1,demod,22] multiply(multiply(inverse(A),B),C)=multiply(add(A,C),multiply(inverse(A),B)).
% 2.51/2.65 507 [copy,503,flip.1] multiply(add(A,B),multiply(inverse(B),C))=multiply(multiply(inverse(B),C),A).
% 2.51/2.65 508 [copy,506,flip.1] multiply(add(A,B),multiply(inverse(A),C))=multiply(multiply(inverse(A),C),B).
% 2.51/2.65 350 [para_from,51.1.1,7.1.1.2,flip.1] add(multiply(A,multiply(inverse(B),C)),multiply(A,multiply(C,B)))=multiply(A,C).
% 2.51/2.65 598 [para_from,59.1.1,167.1.1.1] multiply(multiply(A,B),multiply(A,multiply(B,C)))=multiply(A,multiply(B,C)).
% 2.51/2.65 816 [para_into,121.1.1.2.1,804.1.1,demod,28,flip.1] add(add(inverse(A),B),multiply(A,C))=add(add(inverse(A),B),C).
% 2.51/2.65 818 [para_into,121.1.1.2.1,768.1.1,demod,28,flip.1] add(add(A,inverse(B)),multiply(B,C))=add(add(A,inverse(B)),C).
% 2.51/2.65 848 [para_into,121.1.1.2.1,86.1.1,demod,122,flip.1] add(inverse(A),multiply(multiply(B,A),C))=add(inverse(A),multiply(B,C)).
% 2.51/2.65 519 [para_from,57.1.1,7.1.1.2,flip.1] add(multiply(A,multiply(B,inverse(C))),multiply(A,multiply(C,B)))=multiply(A,B).
% 2.51/2.65 852 [para_into,121.1.1.2.1,62.1.1,demod,122,flip.1] add(inverse(A),multiply(multiply(A,B),C))=add(inverse(A),multiply(B,C)).
% 2.51/2.65 879 [para_into,121.1.1.2,165.1.1,demod,122,flip.1] add(A,multiply(B,multiply(add(A,B),C)))=add(A,multiply(B,C)).
% 2.51/2.65 920 [para_into,844.1.1.2,7.1.1] add(A,add(multiply(multiply(B,A),C),multiply(multiply(B,A),D)))=A.
% 2.51/2.65 928 [para_from,844.1.1,7.1.1.2,flip.1] add(multiply(A,B),multiply(A,multiply(multiply(C,B),D)))=multiply(A,B).
% 2.51/2.65 521 [para_into,206.1.1.2,38.1.1] add(multiply(A,B),multiply(add(C,B),A))=add(multiply(A,C),multiply(A,B)).
% 2.51/2.65 556 [para_into,59.1.1.1,3.1.1] add(multiply(multiply(A,inverse(B)),C),multiply(C,multiply(A,B)))=multiply(C,A).
% 2.51/2.65 587 [para_into,59.1.1.2,3.1.1] add(multiply(A,multiply(B,inverse(C))),multiply(multiply(B,C),A))=multiply(A,B).
% 2.51/2.65 522 [copy,521,flip.1] add(multiply(A,B),multiply(A,C))=add(multiply(A,C),multiply(add(B,C),A)).
% 2.51/2.65 523 [para_into,208.1.1.1,38.1.1] add(multiply(add(A,B),C),multiply(C,B))=add(multiply(C,A),multiply(C,B)).
% 2.51/2.65 524 [copy,523,flip.1] add(multiply(A,B),multiply(A,C))=add(multiply(add(B,C),A),multiply(A,C)).
% 2.51/2.65 692 [para_into,62.1.1.2,7.1.1] add(inverse(A),add(multiply(A,B),multiply(A,C)))=add(inverse(A),add(B,C)).
% 2.51/2.65 742 [para_into,66.1.1.2,7.1.1] add(A,add(multiply(inverse(A),B),multiply(inverse(A),C)))=add(A,add(B,C)).
% 2.51/2.65 888 [para_from,121.1.1,206.1.1.2,demod,122] add(multiply(add(A,B),C),add(A,multiply(B,C)))=add(A,multiply(B,C)).
% 2.51/2.65 892 [para_from,121.1.1,208.1.1.1,demod,122] add(add(A,multiply(B,C)),multiply(add(A,B),C))=add(A,multiply(B,C)).
% 2.51/2.65 534 [para_into,59.1.1.1.2,125.1.1,demod,218,8] add(multiply(A,inverse(B)),multiply(A,multiply(B,C)))=add(multiply(A,inverse(B)),multiply(A,C)).
% 2.51/2.65 894 [para_from,121.1.1,167.1.1.1] multiply(add(A,multiply(B,C)),multiply(add(A,B),C))=multiply(add(A,B),C).
% 2.51/2.65 916 [para_into,844.1.1.2.1,7.1.1] add(add(A,B),multiply(add(multiply(C,A),multiply(C,B)),D))=add(A,B).
% 2.51/2.65 582 [para_into,59.1.1.2,125.1.1,demod,131,257] add(multiply(A,B),multiply(C,multiply(A,inverse(B))))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 591 [copy,582,flip.1] add(multiply(A,B),multiply(A,C))=add(multiply(A,B),multiply(C,multiply(A,inverse(B)))).
% 2.51/2.65 536 [para_into,59.1.1.1.2,37.1.1,demod,8,8] add(add(multiply(A,multiply(inverse(B),C)),multiply(A,multiply(inverse(B),D))),multiply(A,multiply(add(C,D),B)))=add(multiply(A,C),multiply(A,D)).
% 2.51/2.65 752 [para_from,66.1.1,7.1.1.2,demod,8,flip.1] add(multiply(A,B),multiply(A,multiply(inverse(B),C)))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 863 [para_into,121.1.1.2.1,33.1.1,flip.1] add(multiply(A,B),multiply(multiply(A,inverse(B)),C))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 550 [para_into,59.1.1.1,167.1.1,demod,140,255] add(multiply(A,inverse(B)),multiply(C,multiply(A,B)))=add(multiply(A,C),multiply(A,inverse(B))).
% 2.51/2.65 551 [para_into,59.1.1.1,125.1.1,demod,122,257] add(multiply(A,inverse(B)),multiply(C,multiply(A,B)))=add(multiply(A,inverse(B)),multiply(A,C)).
% 2.51/2.65 552 [para_into,59.1.1.1,37.1.1] add(add(multiply(multiply(A,inverse(B)),C),multiply(multiply(A,inverse(B)),D)),multiply(add(C,D),multiply(A,B)))=multiply(add(C,D),A).
% 2.51/2.65 589 [copy,550,flip.1] add(multiply(A,B),multiply(A,inverse(C)))=add(multiply(A,inverse(C)),multiply(B,multiply(A,C))).
% 2.51/2.65 590 [copy,551,flip.1] add(multiply(A,inverse(B)),multiply(A,C))=add(multiply(A,inverse(B)),multiply(C,multiply(A,B))).
% 2.51/2.65 792 [para_from,86.1.1,7.1.1.2,demod,8,flip.1] add(multiply(A,inverse(B)),multiply(A,multiply(C,B)))=add(multiply(A,inverse(B)),multiply(A,C)).
% 2.51/2.65 856 [para_into,121.1.1.2.1,57.1.1,flip.1] add(multiply(A,inverse(B)),multiply(multiply(B,A),C))=add(multiply(A,inverse(B)),multiply(A,C)).
% 2.51/2.65 560 [para_into,59.1.1.2.2,167.1.1,demod,8] add(multiply(A,multiply(add(B,C),inverse(C))),multiply(A,C))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 860 [para_into,121.1.1.2.1,51.1.1,flip.1] add(multiply(inverse(A),B),multiply(multiply(B,A),C))=add(multiply(inverse(A),B),multiply(B,C)).
% 2.51/2.65 564 [para_into,59.1.1.2.2,125.1.1,demod,8] add(multiply(A,multiply(add(B,C),inverse(B))),multiply(A,B))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 862 [para_into,121.1.1.2.1,38.1.1] add(multiply(A,B),multiply(multiply(add(B,C),A),D))=add(multiply(A,B),multiply(multiply(A,C),D)).
% 2.51/2.65 877 [para_into,121.1.1.2,200.1.1,demod,8,8,8,201,flip.1] add(A,add(multiply(B,multiply(C,A)),multiply(C,B)))=add(A,add(multiply(C,A),multiply(C,B))).
% 2.51/2.65 566 [para_into,59.1.1.2.2,37.1.1,demod,8,8] add(multiply(A,multiply(add(B,C),inverse(D))),add(multiply(A,multiply(D,B)),multiply(A,multiply(D,C))))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 883 [copy,862,flip.1] add(multiply(A,B),multiply(multiply(A,C),D))=add(multiply(A,B),multiply(multiply(add(B,C),A),D)).
% 2.51/2.65 580 [para_into,59.1.1.2,167.1.1,demod,255] add(multiply(add(A,multiply(B,C)),multiply(B,inverse(C))),multiply(B,C))=add(multiply(B,A),multiply(B,C)).
% 2.51/2.65 596 [para_from,59.1.1,7.1.1.2,flip.1] add(multiply(A,multiply(B,multiply(C,inverse(D)))),multiply(A,multiply(B,multiply(C,D))))=multiply(A,multiply(B,C)).
% 2.51/2.65 583 [para_into,59.1.1.2,37.1.1] add(multiply(add(A,B),multiply(C,inverse(D))),add(multiply(multiply(C,D),A),multiply(multiply(C,D),B)))=multiply(add(A,B),C).
% 2.51/2.65 854 [para_into,121.1.1.2.1,59.1.1,flip.1] add(multiply(A,multiply(B,inverse(C))),multiply(multiply(A,multiply(B,C)),D))=add(multiply(A,multiply(B,inverse(C))),multiply(multiply(A,B),D)).
% 2.51/2.65 end_of_list.
% 2.51/2.65
% 2.51/2.65 list(sos).
% 2.51/2.65 end_of_list.
% 2.51/2.65
% 2.51/2.65 list(demodulators).
% 2.51/2.65 8 [new_demod,7] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 10 [new_demod,9] add(A,additive_identity)=A.
% 2.51/2.65 12 [new_demod,11] multiply(A,multiplicative_identity)=A.
% 2.51/2.65 14 [new_demod,13] add(A,inverse(A))=multiplicative_identity.
% 2.51/2.65 16 [new_demod,15] multiply(A,inverse(A))=additive_identity.
% 2.51/2.65 20 [new_demod,19] add(inverse(A),A)=multiplicative_identity.
% 2.51/2.65 22 [new_demod,21] add(additive_identity,A)=A.
% 2.51/2.65 24 [new_demod,23] inverse(additive_identity)=multiplicative_identity.
% 2.51/2.65 26 [new_demod,25] multiply(inverse(A),A)=additive_identity.
% 2.51/2.65 28 [new_demod,27] multiply(multiplicative_identity,A)=A.
% 2.51/2.65 32 [new_demod,31] add(multiply(A,inverse(B)),multiply(A,B))=A.
% 2.51/2.65 34 [new_demod,33] add(multiply(A,B),multiply(A,inverse(B)))=A.
% 2.51/2.65 40 [new_demod,39] inverse(multiplicative_identity)=additive_identity.
% 2.51/2.65 50 [new_demod,49] multiply(A,A)=A.
% 2.51/2.65 52 [new_demod,51] add(multiply(inverse(A),B),multiply(B,A))=B.
% 2.51/2.65 58 [new_demod,57] add(multiply(A,inverse(B)),multiply(B,A))=A.
% 2.51/2.65 60 [new_demod,59] add(multiply(A,multiply(B,inverse(C))),multiply(A,multiply(B,C)))=multiply(A,B).
% 2.51/2.65 63 [new_demod,62] add(inverse(A),multiply(A,B))=add(inverse(A),B).
% 2.51/2.65 67 [new_demod,66] add(A,multiply(inverse(A),B))=add(A,B).
% 2.51/2.65 87 [new_demod,86] add(inverse(A),multiply(B,A))=add(inverse(A),B).
% 2.51/2.65 110 [new_demod,109] inverse(inverse(A))=A.
% 2.51/2.65 116 [new_demod,115] multiply(A,additive_identity)=additive_identity.
% 2.51/2.65 118 [new_demod,117] multiply(additive_identity,A)=additive_identity.
% 2.51/2.65 120 [new_demod,119] add(A,multiply(A,B))=A.
% 2.51/2.65 122 [new_demod,121] add(A,multiply(add(A,B),C))=add(A,multiply(B,C)).
% 2.51/2.65 126 [new_demod,125] multiply(add(A,B),A)=A.
% 2.51/2.65 128 [new_demod,127] add(multiply(A,B),multiply(A,multiply(add(B,C),D)))=add(multiply(A,B),multiply(A,multiply(C,D))).
% 2.51/2.65 131 [new_demod,130] add(multiply(add(A,B),C),A)=add(A,multiply(B,C)).
% 2.51/2.65 134 [new_demod,133] add(A,add(multiply(add(A,B),C),multiply(add(A,B),D)))=add(A,add(multiply(B,C),multiply(B,D))).
% 2.51/2.65 136 [new_demod,135] add(A,add(A,B))=add(A,B).
% 2.51/2.65 140 [new_demod,139] add(A,multiply(add(B,A),C))=add(A,multiply(B,C)).
% 2.51/2.65 142 [new_demod,141] add(A,multiply(multiply(add(A,B),C),D))=add(A,multiply(multiply(B,C),D)).
% 2.51/2.65 144 [new_demod,143] add(A,A)=A.
% 2.51/2.65 146 [new_demod,145] add(multiplicative_identity,A)=multiplicative_identity.
% 2.51/2.65 148 [new_demod,147] add(A,add(multiply(A,B),multiply(A,C)))=A.
% 2.51/2.65 150 [new_demod,149] add(A,multiply(B,A))=A.
% 2.51/2.65 152 [new_demod,151] add(multiply(A,B),A)=A.
% 2.51/2.65 154 [new_demod,153] add(multiply(A,B),multiply(A,multiply(B,C)))=multiply(A,B).
% 2.51/2.65 158 [new_demod,157] add(multiply(A,B),multiply(B,inverse(A)))=B.
% 2.51/2.65 160 [new_demod,159] add(multiply(A,B),multiply(inverse(B),A))=A.
% 2.51/2.65 162 [new_demod,161] add(multiply(A,multiply(B,C)),multiply(A,multiply(B,inverse(C))))=multiply(A,B).
% 2.51/2.65 164 [new_demod,163] add(A,multiplicative_identity)=multiplicative_identity.
% 2.51/2.65 166 [new_demod,165] multiply(A,multiply(A,B))=multiply(A,B).
% 2.51/2.65 168 [new_demod,167] multiply(add(A,B),B)=B.
% 2.51/2.65 172 [new_demod,171] add(multiply(A,inverse(B)),multiply(multiply(A,B),C))=add(multiply(A,inverse(B)),multiply(A,C)).
% 2.51/2.65 174 [new_demod,173] add(add(A,B),A)=add(A,B).
% 2.51/2.65 176 [new_demod,175] add(A,multiply(B,inverse(A)))=add(A,B).
% 2.51/2.65 181 [new_demod,180] add(multiply(add(A,B),C),add(multiply(inverse(C),A),multiply(inverse(C),B)))=add(A,B).
% 2.51/2.65 183 [new_demod,182] add(add(multiply(inverse(A),B),multiply(inverse(A),C)),multiply(add(B,C),A))=add(B,C).
% 2.51/2.65 185 [new_demod,184] add(add(A,B),add(multiply(C,A),multiply(C,B)))=add(A,B).
% 2.51/2.65 187 [new_demod,186] add(add(multiply(A,B),multiply(A,C)),multiply(add(B,C),inverse(A)))=add(B,C).
% 2.51/2.65 189 [new_demod,188] add(multiply(add(A,B),inverse(C)),add(multiply(C,A),multiply(C,B)))=add(A,B).
% 2.51/2.65 191 [new_demod,190] add(multiply(A,B),B)=B.
% 2.51/2.65 193 [new_demod,192] add(multiply(A,B),multiply(A,multiply(C,B)))=multiply(A,B).
% 2.51/2.65 195 [new_demod,194] add(add(multiply(A,B),multiply(A,C)),add(B,C))=add(B,C).
% 2.51/2.65 197 [new_demod,196] add(add(multiply(A,B),multiply(A,C)),A)=A.
% 2.51/2.65 199 [new_demod,198] add(multiply(A,multiply(B,C)),multiply(A,B))=multiply(A,B).
% 2.51/2.65 201 [new_demod,200] multiply(A,multiply(B,A))=multiply(B,A).
% 2.51/2.65 207 [new_demod,206] add(A,add(B,A))=add(B,A).
% 2.51/2.65 209 [new_demod,208] add(add(A,B),B)=add(A,B).
% 2.51/2.65 213 [new_demod,212] add(multiply(A,multiply(B,C)),multiply(A,C))=multiply(A,C).
% 2.51/2.65 218 [new_demod,217] multiply(add(inverse(A),B),A)=multiply(A,B).
% 2.51/2.65 225 [new_demod,224] multiply(add(A,inverse(B)),B)=multiply(B,A).
% 2.51/2.65 235 [new_demod,234] add(multiply(A,B),inverse(A))=add(B,inverse(A)).
% 2.51/2.65 240 [new_demod,239] multiply(multiply(add(A,B),C),multiply(C,B))=multiply(C,B).
% 2.51/2.65 242 [new_demod,241] multiply(multiply(add(A,B),C),multiply(C,A))=multiply(C,A).
% 2.51/2.65 251 [new_demod,250] add(multiply(multiply(add(A,B),C),A),multiply(multiply(add(A,B),C),B))=multiply(add(A,B),C).
% 2.51/2.65 253 [new_demod,252] multiply(multiply(A,B),A)=multiply(A,B).
% 2.51/2.65 255 [new_demod,254] multiply(add(A,multiply(B,C)),B)=add(multiply(B,A),multiply(B,C)).
% 2.51/2.65 257 [new_demod,256] multiply(add(multiply(A,B),C),A)=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 265 [new_demod,264] multiply(multiply(A,B),B)=multiply(A,B).
% 2.51/2.65 267 [new_demod,266] multiply(add(A,multiply(B,C)),C)=add(multiply(C,A),multiply(B,C)).
% 2.51/2.65 269 [new_demod,268] multiply(add(multiply(A,B),C),B)=add(multiply(A,B),multiply(B,C)).
% 2.51/2.65 273 [new_demod,272] 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)).
% 2.51/2.65 275 [new_demod,274] multiply(inverse(A),multiply(B,A))=additive_identity.
% 2.51/2.65 279 [new_demod,278] multiply(inverse(A),multiply(A,B))=additive_identity.
% 2.51/2.65 295 [new_demod,294] multiply(A,multiply(B,inverse(A)))=additive_identity.
% 2.51/2.65 299 [new_demod,298] multiply(multiply(A,B),inverse(B))=additive_identity.
% 2.51/2.65 315 [new_demod,314] multiply(A,multiply(inverse(A),B))=additive_identity.
% 2.51/2.65 317 [new_demod,316] multiply(multiply(A,B),inverse(A))=additive_identity.
% 2.51/2.65 343 [new_demod,342] add(multiply(inverse(A),B),A)=add(B,A).
% 2.51/2.65 345 [new_demod,344] add(add(multiply(inverse(A),B),multiply(inverse(A),C)),add(multiply(A,B),multiply(A,C)))=add(B,C).
% 2.51/2.65 349 [new_demod,348] add(multiply(inverse(A),B),multiply(A,B))=B.
% 2.51/2.65 351 [new_demod,350] add(multiply(A,multiply(inverse(B),C)),multiply(A,multiply(C,B)))=multiply(A,C).
% 2.51/2.65 367 [new_demod,366] multiply(multiply(A,inverse(B)),B)=additive_identity.
% 2.51/2.65 371 [new_demod,370] multiply(add(A,multiply(B,inverse(C))),C)=multiply(C,A).
% 2.51/2.65 373 [new_demod,372] multiply(add(multiply(A,inverse(B)),C),B)=multiply(B,C).
% 2.51/2.65 377 [new_demod,376] multiply(add(multiply(A,B),multiply(A,C)),inverse(A))=additive_identity.
% 2.51/2.65 472 [new_demod,471] multiply(multiply(inverse(A),B),A)=additive_identity.
% 2.51/2.65 478 [new_demod,477] multiply(add(A,multiply(inverse(B),C)),B)=multiply(B,A).
% 2.51/2.65 482 [new_demod,481] multiply(add(multiply(inverse(A),B),C),A)=multiply(A,C).
% 2.51/2.65 520 [new_demod,519] add(multiply(A,multiply(B,inverse(C))),multiply(A,multiply(C,B)))=multiply(A,B).
% 2.51/2.65 526 [new_demod,525] multiply(add(A,B),multiply(B,C))=multiply(B,C).
% 2.51/2.65 528 [new_demod,527] multiply(add(A,B),multiply(A,C))=multiply(A,C).
% 2.51/2.65 530 [new_demod,529] multiply(add(A,B),multiply(C,B))=multiply(C,B).
% 2.51/2.65 532 [new_demod,531] multiply(add(A,B),multiply(C,A))=multiply(C,A).
% 2.51/2.65 535 [new_demod,534] add(multiply(A,inverse(B)),multiply(A,multiply(B,C)))=add(multiply(A,inverse(B)),multiply(A,C)).
% 2.51/2.65 537 [new_demod,536] add(add(multiply(A,multiply(inverse(B),C)),multiply(A,multiply(inverse(B),D))),multiply(A,multiply(add(C,D),B)))=add(multiply(A,C),multiply(A,D)).
% 2.51/2.65 553 [new_demod,552] add(add(multiply(multiply(A,inverse(B)),C),multiply(multiply(A,inverse(B)),D)),multiply(add(C,D),multiply(A,B)))=multiply(add(C,D),A).
% 2.51/2.65 557 [new_demod,556] add(multiply(multiply(A,inverse(B)),C),multiply(C,multiply(A,B)))=multiply(C,A).
% 2.51/2.65 561 [new_demod,560] add(multiply(A,multiply(add(B,C),inverse(C))),multiply(A,C))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 565 [new_demod,564] add(multiply(A,multiply(add(B,C),inverse(B))),multiply(A,B))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 567 [new_demod,566] add(multiply(A,multiply(add(B,C),inverse(D))),add(multiply(A,multiply(D,B)),multiply(A,multiply(D,C))))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 577 [new_demod,576] multiply(multiply(A,multiply(B,C)),B)=multiply(A,multiply(B,C)).
% 2.51/2.65 579 [new_demod,578] multiply(multiply(multiply(A,B),C),A)=multiply(multiply(A,B),C).
% 2.51/2.65 581 [new_demod,580] add(multiply(add(A,multiply(B,C)),multiply(B,inverse(C))),multiply(B,C))=add(multiply(B,A),multiply(B,C)).
% 2.51/2.65 584 [new_demod,583] add(multiply(add(A,B),multiply(C,inverse(D))),add(multiply(multiply(C,D),A),multiply(multiply(C,D),B)))=multiply(add(A,B),C).
% 2.51/2.65 588 [new_demod,587] add(multiply(A,multiply(B,inverse(C))),multiply(multiply(B,C),A))=multiply(A,B).
% 2.51/2.65 597 [new_demod,596] add(multiply(A,multiply(B,multiply(C,inverse(D)))),multiply(A,multiply(B,multiply(C,D))))=multiply(A,multiply(B,C)).
% 2.51/2.65 599 [new_demod,598] multiply(multiply(A,B),multiply(A,multiply(B,C)))=multiply(A,multiply(B,C)).
% 2.51/2.65 693 [new_demod,692] add(inverse(A),add(multiply(A,B),multiply(A,C)))=add(inverse(A),add(B,C)).
% 2.51/2.65 699 [new_demod,698] add(multiply(A,B),add(inverse(A),B))=add(inverse(A),B).
% 2.51/2.65 713 [new_demod,712] add(inverse(A),add(B,A))=multiplicative_identity.
% 2.51/2.65 715 [new_demod,714] add(inverse(A),add(A,B))=multiplicative_identity.
% 2.51/2.65 727 [new_demod,726] add(A,add(B,inverse(A)))=multiplicative_identity.
% 2.51/2.65 735 [new_demod,734] add(add(A,B),inverse(B))=multiplicative_identity.
% 2.51/2.65 737 [new_demod,736] add(multiply(A,inverse(B)),add(multiply(A,C),multiply(A,B)))=A.
% 2.51/2.65 743 [new_demod,742] add(A,add(multiply(inverse(A),B),multiply(inverse(A),C)))=add(A,add(B,C)).
% 2.51/2.65 749 [new_demod,748] add(multiply(inverse(A),B),add(A,B))=add(A,B).
% 2.51/2.65 753 [new_demod,752] add(multiply(A,B),multiply(A,multiply(inverse(B),C)))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 759 [new_demod,758] add(A,add(inverse(A),B))=multiplicative_identity.
% 2.51/2.65 763 [new_demod,762] add(add(A,B),inverse(A))=multiplicative_identity.
% 2.51/2.65 765 [new_demod,764] add(multiply(A,inverse(B)),add(multiply(A,B),multiply(A,C)))=A.
% 2.51/2.65 769 [new_demod,768] add(add(A,inverse(B)),B)=multiplicative_identity.
% 2.51/2.65 771 [new_demod,770] add(multiply(A,B),add(multiply(A,C),multiply(A,inverse(B))))=A.
% 2.51/2.65 781 [new_demod,780] add(add(multiply(A,B),multiply(A,C)),multiply(A,inverse(C)))=A.
% 2.51/2.65 789 [new_demod,788] add(multiply(A,B),add(inverse(B),A))=add(inverse(B),A).
% 2.51/2.65 793 [new_demod,792] add(multiply(A,inverse(B)),multiply(A,multiply(C,B)))=add(multiply(A,inverse(B)),multiply(A,C)).
% 2.51/2.65 805 [new_demod,804] add(add(inverse(A),B),A)=multiplicative_identity.
% 2.51/2.65 807 [new_demod,806] add(multiply(A,B),add(multiply(A,inverse(B)),multiply(A,C)))=A.
% 2.51/2.65 811 [new_demod,810] add(add(multiply(A,B),multiply(A,C)),multiply(A,inverse(B)))=A.
% 2.51/2.65 813 [new_demod,812] add(add(multiply(A,B),multiply(A,inverse(C))),multiply(A,C))=A.
% 2.51/2.65 815 [new_demod,814] add(add(multiply(A,inverse(B)),multiply(A,C)),multiply(A,B))=A.
% 2.51/2.65 817 [new_demod,816] add(add(inverse(A),B),multiply(A,C))=add(add(inverse(A),B),C).
% 2.51/2.65 819 [new_demod,818] add(add(A,inverse(B)),multiply(B,C))=add(add(A,inverse(B)),C).
% 2.51/2.65 821 [new_demod,820] add(add(A,B),multiply(inverse(A),C))=add(add(A,B),C).
% 2.51/2.65 823 [new_demod,822] add(A,multiply(add(inverse(A),B),C))=add(A,C).
% 2.51/2.65 825 [new_demod,824] add(add(A,B),multiply(inverse(B),C))=add(add(A,B),C).
% 2.51/2.65 827 [new_demod,826] add(A,multiply(add(B,inverse(A)),C))=add(A,C).
% 2.51/2.65 831 [new_demod,830] add(inverse(A),multiply(add(A,B),C))=add(inverse(A),C).
% 2.51/2.65 833 [new_demod,832] add(inverse(A),multiply(add(B,A),C))=add(inverse(A),C).
% 2.51/2.65 841 [new_demod,840] add(add(A,B),multiply(B,C))=add(A,B).
% 2.51/2.65 843 [new_demod,842] add(add(A,B),multiply(A,C))=add(A,B).
% 2.51/2.65 845 [new_demod,844] add(A,multiply(multiply(B,A),C))=A.
% 2.51/2.65 847 [new_demod,846] add(A,multiply(multiply(A,B),C))=A.
% 2.51/2.65 849 [new_demod,848] add(inverse(A),multiply(multiply(B,A),C))=add(inverse(A),multiply(B,C)).
% 2.51/2.65 851 [new_demod,850] add(A,multiply(multiply(inverse(A),B),C))=add(A,multiply(B,C)).
% 2.51/2.65 853 [new_demod,852] add(inverse(A),multiply(multiply(A,B),C))=add(inverse(A),multiply(B,C)).
% 2.51/2.65 855 [new_demod,854] add(multiply(A,multiply(B,inverse(C))),multiply(multiply(A,multiply(B,C)),D))=add(multiply(A,multiply(B,inverse(C))),multiply(multiply(A,B),D)).
% 2.51/2.65 857 [new_demod,856] add(multiply(A,inverse(B)),multiply(multiply(B,A),C))=add(multiply(A,inverse(B)),multiply(A,C)).
% 2.51/2.65 861 [new_demod,860] add(multiply(inverse(A),B),multiply(multiply(B,A),C))=add(multiply(inverse(A),B),multiply(B,C)).
% 2.51/2.65 864 [new_demod,863] add(multiply(A,B),multiply(multiply(A,inverse(B)),C))=add(multiply(A,B),multiply(A,C)).
% 2.51/2.65 878 [new_demod,877] add(A,add(multiply(B,multiply(C,A)),multiply(C,B)))=add(A,add(multiply(C,A),multiply(C,B))).
% 2.51/2.65 880 [new_demod,879] add(A,multiply(B,multiply(add(A,B),C)))=add(A,multiply(B,C)).
% 2.51/2.65 889 [new_demod,888] add(multiply(add(A,B),C),add(A,multiply(B,C)))=add(A,multiply(B,C)).
% 2.51/2.65 893 [new_demod,892] add(add(A,multiply(B,C)),multiply(add(A,B),C))=add(A,multiply(B,C)).
% 2.51/2.65 895 [new_demod,894] multiply(add(A,multiply(B,C)),multiply(add(A,B),C))=multiply(add(A,B),C).
% 2.51/2.65 915 [new_demod,914] add(A,multiply(add(multiply(A,B),multiply(A,C)),D))=A.
% 2.51/2.65 917 [new_demod,916] add(add(A,B),multiply(add(multiply(C,A),multiply(C,B)),D))=add(A,B).
% 2.51/2.65 919 [new_demod,918] add(A,multiply(B,multiply(C,A)))=A.
% 2.51/2.65 921 [new_demod,920] add(A,add(multiply(multiply(B,A),C),multiply(multiply(B,A),D)))=A.
% 2.51/2.65 923 [new_demod,922] add(multiply(multiply(A,B),C),B)=B.
% 2.51/2.65 927 [new_demod,926] multiply(multiply(multiply(A,B),C),inverse(B))=additive_identity.
% 2.51/2.65 929 [new_demod,928] add(multiply(A,B),multiply(A,multiply(multiply(C,B),D)))=multiply(A,B).
% 2.51/2.65 933 [new_demod,932] multiply(A,multiply(multiply(B,A),C))=multiply(multiply(B,A),C).
% 2.51/2.65 935 [new_demod,934] multiply(inverse(A),multiply(multiply(B,A),C))=additive_identity.
% 2.51/2.65 937 [new_demod,936] add(A,multiply(multiply(multiply(B,A),C),D))=A.
% 2.51/2.65 939 [new_demod,938] add(A,multiply(B,multiply(A,C)))=A.
% 2.51/2.65 941 [new_demod,940] add(multiply(multiply(A,B),C),A)=A.
% 2.51/2.65 945 [new_demod,944] multiply(multiply(multiply(A,B),C),inverse(A))=additive_identity.
% 2.51/2.65 949 [new_demod,948] multiply(inverse(A),multiply(multiply(A,B),C))=additive_identity.
% 2.51/2.65 957 [new_demod,956] add(multiply(A,multiply(B,C)),C)=C.
% 2.51/2.65 961 [new_demod,960] multiply(multiply(A,multiply(B,C)),inverse(C))=additive_identity.
% 2.51/2.65 965 [new_demod,964] multiply(inverse(A),multiply(B,multiply(C,A)))=additive_identity.
% 2.51/2.65 967 [new_demod,966] add(multiply(A,multiply(B,C)),B)=B.
% 2.51/2.65 969 [new_demod,968] multiply(multiply(A,multiply(B,C)),inverse(B))=additive_identity.
% 2.51/2.65 973 [new_demod,972] multiply(inverse(A),multiply(B,multiply(A,C)))=additive_identity.
% 2.51/2.65 975 [new_demod,974] add(multiply(A,B),multiply(inverse(A),B))=B.
% 2.51/2.65 977 [new_demod,976] add(multiply(A,inverse(B)),B)=add(B,A).
% 2.51/2.65 979 [new_demod,978] multiply(A,multiply(B,multiply(inverse(A),C)))=additive_identity.
% 2.51/2.65 981 [new_demod,980] multiply(A,multiply(B,multiply(C,inverse(A))))=additive_identity.
% 2.51/2.65 983 [new_demod,982] multiply(A,multiply(multiply(inverse(A),B),C))=additive_identity.
% 2.51/2.65 985 [new_demod,984] multiply(A,multiply(multiply(B,inverse(A)),C))=additive_identity.
% 2.51/2.65 991 [new_demod,990] multiply(multiply(A,B),multiply(inverse(A),C))=additive_identity.
% 2.51/2.65 993 [new_demod,992] multiply(multiply(A,B),multiply(C,inverse(A)))=additive_identity.
% 2.51/2.65 995 [new_demod,994] multiply(multiply(inverse(A),B),multiply(A,C))=additive_identity.
% 2.51/2.65 997 [new_demod,996] multiply(multiply(inverse(A),B),multiply(C,A))=additive_identity.
% 2.51/2.65 999 [new_demod,998] multiply(multiply(multiply(A,inverse(B)),C),B)=additive_identity.
% 2.51/2.65 1001 [new_demod,1000] multiply(multiply(A,inverse(B)),multiply(B,C))=additive_identity.
% 2.51/2.65 1003 [new_demod,1002] multiply(multiply(A,B),multiply(inverse(B),C))=additive_identity.
% 2.51/2.65 1013 [new_demod,1012] multiply(multiply(multiply(inverse(A),B),C),A)=additive_identity.
% 2.51/2.65 1033 [new_demod,1032] multiply(multiply(A,B),multiply(C,inverse(B)))=additive_identity.
% 2.51/2.65 1035 [new_demod,1034] multiply(multiply(A,inverse(B)),multiply(C,B))=additive_identity.
% 2.51/2.65 1037 [new_demod,1036] multiply(multiply(A,multiply(B,inverse(C))),C)=additive_identity.
% 2.51/2.65 1043 [new_demod,1042] multiply(multiply(A,multiply(inverse(B),C)),B)=additive_identity.
% 2.51/2.65 1069 [new_demod,1068] add(inverse(A),add(B,add(C,A)))=multiplicative_identity.
% 2.51/2.65 1071 [new_demod,1070] add(inverse(A),add(B,add(A,C)))=multiplicative_identity.
% 2.51/2.65 1073 [new_demod,1072] add(inverse(A),add(add(B,A),C))=multiplicative_identity.
% 2.51/2.65 1075 [new_demod,1074] add(inverse(A),add(add(A,B),C))=multiplicative_identity.
% 2.51/2.65 1089 [new_demod,1088] add(add(A,add(B,C)),inverse(C))=multiplicative_identity.
% 2.51/2.65 1091 [new_demod,1090] add(add(A,add(B,C)),inverse(B))=multiplicative_identity.
% 2.51/2.65 1097 [new_demod,1096] add(add(add(A,B),C),inverse(B))=multiplicative_identity.
% 2.51/2.65 1099 [new_demod,1098] add(add(add(A,B),C),inverse(A))=multiplicative_identity.
% 2.51/2.65 1105 [new_demod,1104] multiply(add(A,add(B,C)),C)=C.
% 2.51/2.65 1107 [new_demod,1106] multiply(add(A,add(B,C)),B)=B.
% 2.51/2.65 1109 [new_demod,1108] multiply(add(add(A,B),C),B)=B.
% 2.51/2.65 1111 [new_demod,1110] add(A,add(B,add(C,inverse(A))))=multiplicative_identity.
% 2.51/2.65 1113 [new_demod,1112] multiply(add(add(A,B),C),A)=A.
% 2.51/2.65 1115 [new_demod,1114] add(A,add(B,add(inverse(A),C)))=multiplicative_identity.
% 2.51/2.65 1117 [new_demod,1116] add(A,add(add(B,inverse(A)),C))=multiplicative_identity.
% 2.51/2.65 1119 [new_demod,1118] add(A,add(add(inverse(A),B),C))=multiplicative_identity.
% 2.51/2.65 1121 [new_demod,1120] add(add(A,B),add(C,inverse(B)))=multiplicative_identity.
% 2.51/2.65 1123 [new_demod,1122] add(add(A,B),add(C,inverse(A)))=multiplicative_identity.
% 2.51/2.65 1125 [new_demod,1124] add(add(A,B),add(inverse(B),C))=multiplicative_identity.
% 2.51/2.65 1127 [new_demod,1126] add(add(A,B),add(inverse(A),C))=multiplicative_identity.
% 2.51/2.65 1129 [new_demod,1128] add(add(inverse(A),B),add(C,A))=multiplicative_identity.
% 2.51/2.65 1131 [new_demod,1130] add(add(A,inverse(B)),add(C,B))=multiplicative_identity.
% 2.51/2.65 1133 [new_demod,1132] add(add(inverse(A),B),add(A,C))=multiplicative_identity.
% 2.51/2.65 1135 [new_demod,1134] add(add(A,inverse(B)),add(B,C))=multiplicative_identity.
% 2.51/2.65 1137 [new_demod,1136] add(add(A,add(B,inverse(C))),C)=multiplicative_identity.
% 2.51/2.65 1139 [new_demod,1138] add(add(A,add(inverse(B),C)),B)=multiplicative_identity.
% 2.51/2.65 1141 [new_demod,1140] add(add(add(A,inverse(B)),C),B)=multiplicative_identity.
% 2.51/2.65 1143 [new_demod,1142] add(add(add(inverse(A),B),C),A)=multiplicative_identity.
% 2.51/2.65 1145 [new_demod,1144] add(multiply(add(A,B),inverse(A)),B)=B.
% 2.51/2.65 1164 [new_demod,1163] inverse(add(A,B))=multiply(inverse(A),inverse(B)).
% 2.51/2.65 1172 [new_demod,1171] inverse(multiply(A,B))=add(inverse(A),inverse(B)).
% 2.51/2.65 end_of_list.
% 2.51/2.65
% 2.51/2.65
% 2.51/2.65 -------------- statistics -------------
% 2.51/2.65 clauses given 411
% 2.51/2.65 clauses generated 109228
% 2.51/2.65 clauses kept 635
% 2.51/2.65 clauses forward subsumed 52060
% 2.51/2.65 clauses back subsumed 0
% 2.51/2.65 Kbytes malloced 5859
% 2.51/2.65
% 2.51/2.65 ----------- times (seconds) -----------
% 2.51/2.65 user CPU time 0.64 (0 hr, 0 min, 0 sec)
% 2.51/2.65 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.51/2.65 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.51/2.65
% 2.51/2.65 Process 28489 finished Wed Jul 27 02:33:22 2022
% 2.51/2.65 Otter interrupted
% 2.51/2.65 PROOF NOT FOUND
%------------------------------------------------------------------------------