TSTP Solution File: GRP701-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP701-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n005.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 : 600s
% DateTime : Sat Jul 16 11:20:40 EDT 2022
% Result : Unsatisfiable 4.72s 5.18s
% Output : Refutation 4.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.17 % Problem : GRP701-1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.18 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.40 % Computer : n005.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8042.1875MB
% 0.13/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 600
% 0.13/0.40 % DateTime : Mon Jun 13 19:27:24 EDT 2022
% 0.13/0.40 % CPUTime :
% 4.72/5.18 ============================== Prover9 ===============================
% 4.72/5.18 Prover9 (32) version 2009-11A, November 2009.
% 4.72/5.18 Process 32715 was started by sandbox on n005.cluster.edu,
% 4.72/5.18 Mon Jun 13 19:27:24 2022
% 4.72/5.18 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32561_n005.cluster.edu".
% 4.72/5.18 ============================== end of head ===========================
% 4.72/5.18
% 4.72/5.18 ============================== INPUT =================================
% 4.72/5.18
% 4.72/5.18 % Reading from file /tmp/Prover9_32561_n005.cluster.edu
% 4.72/5.18
% 4.72/5.18 set(prolog_style_variables).
% 4.72/5.18 set(auto2).
% 4.72/5.18 % set(auto2) -> set(auto).
% 4.72/5.18 % set(auto) -> set(auto_inference).
% 4.72/5.18 % set(auto) -> set(auto_setup).
% 4.72/5.18 % set(auto_setup) -> set(predicate_elim).
% 4.72/5.18 % set(auto_setup) -> assign(eq_defs, unfold).
% 4.72/5.18 % set(auto) -> set(auto_limits).
% 4.72/5.18 % set(auto_limits) -> assign(max_weight, "100.000").
% 4.72/5.18 % set(auto_limits) -> assign(sos_limit, 20000).
% 4.72/5.18 % set(auto) -> set(auto_denials).
% 4.72/5.18 % set(auto) -> set(auto_process).
% 4.72/5.18 % set(auto2) -> assign(new_constants, 1).
% 4.72/5.18 % set(auto2) -> assign(fold_denial_max, 3).
% 4.72/5.18 % set(auto2) -> assign(max_weight, "200.000").
% 4.72/5.18 % set(auto2) -> assign(max_hours, 1).
% 4.72/5.18 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 4.72/5.18 % set(auto2) -> assign(max_seconds, 0).
% 4.72/5.18 % set(auto2) -> assign(max_minutes, 5).
% 4.72/5.18 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 4.72/5.18 % set(auto2) -> set(sort_initial_sos).
% 4.72/5.18 % set(auto2) -> assign(sos_limit, -1).
% 4.72/5.18 % set(auto2) -> assign(lrs_ticks, 3000).
% 4.72/5.18 % set(auto2) -> assign(max_megs, 400).
% 4.72/5.18 % set(auto2) -> assign(stats, some).
% 4.72/5.18 % set(auto2) -> clear(echo_input).
% 4.72/5.18 % set(auto2) -> set(quiet).
% 4.72/5.18 % set(auto2) -> clear(print_initial_clauses).
% 4.72/5.18 % set(auto2) -> clear(print_given).
% 4.72/5.18 assign(lrs_ticks,-1).
% 4.72/5.18 assign(sos_limit,10000).
% 4.72/5.18 assign(order,kbo).
% 4.72/5.18 set(lex_order_vars).
% 4.72/5.18 clear(print_given).
% 4.72/5.18
% 4.72/5.18 % formulas(sos). % not echoed (11 formulas)
% 4.72/5.18
% 4.72/5.18 ============================== end of input ==========================
% 4.72/5.18
% 4.72/5.18 % From the command line: assign(max_seconds, 300).
% 4.72/5.18
% 4.72/5.18 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.72/5.18
% 4.72/5.18 % Formulas that are not ordinary clauses:
% 4.72/5.18
% 4.72/5.18 ============================== end of process non-clausal formulas ===
% 4.72/5.18
% 4.72/5.18 ============================== PROCESS INITIAL CLAUSES ===============
% 4.72/5.18
% 4.72/5.18 ============================== PREDICATE ELIMINATION =================
% 4.72/5.18
% 4.72/5.18 ============================== end predicate elimination =============
% 4.72/5.18
% 4.72/5.18 Auto_denials:
% 4.72/5.18 % copying label goals to answer in negative clause
% 4.72/5.18
% 4.72/5.18 Term ordering decisions:
% 4.72/5.18
% 4.72/5.18 % Assigning unary symbol i kb_weight 0 and highest precedence (8).
% 4.72/5.18 Function symbol KB weights: unit=1. a=1. b=1. mult=1. ld=1. rd=1. i=0.
% 4.72/5.18
% 4.72/5.18 ============================== end of process initial clauses ========
% 4.72/5.18
% 4.72/5.18 ============================== CLAUSES FOR SEARCH ====================
% 4.72/5.18
% 4.72/5.18 ============================== end of clauses for search =============
% 4.72/5.18
% 4.72/5.18 ============================== SEARCH ================================
% 4.72/5.18
% 4.72/5.18 % Starting search at 0.01 seconds.
% 4.72/5.18
% 4.72/5.18 Low Water (keep): wt=178.000, iters=3426
% 4.72/5.18
% 4.72/5.18 Low Water (keep): wt=149.000, iters=3391
% 4.72/5.18
% 4.72/5.18 Low Water (keep): wt=148.000, iters=3410
% 4.72/5.18
% 4.72/5.18 Low Water (keep): wt=132.000, iters=3491
% 4.72/5.18
% 4.72/5.18 Low Water (keep): wt=128.000, iters=3446
% 4.72/5.18
% 4.72/5.18 Low Water (keep): wt=104.000, iters=3383
% 4.72/5.18
% 4.72/5.18 Low Water (keep): wt=96.000, iters=3343
% 4.72/5.18
% 4.72/5.18 ============================== PROOF =================================
% 4.72/5.18 % SZS status Unsatisfiable
% 4.72/5.18 % SZS output start Refutation
% 4.72/5.18
% 4.72/5.18 % Proof 1 at 4.15 (+ 0.04) seconds: goals.
% 4.72/5.18 % Length of proof is 342.
% 4.72/5.18 % Level of proof is 58.
% 4.72/5.18 % Maximum clause weight is 37.000.
% 4.72/5.18 % Given clauses 285.
% 4.72/5.18
% 4.72/5.18 1 mult(A,unit) = A # label(c05) # label(axiom). [assumption].
% 4.72/5.18 2 mult(unit,A) = A # label(c06) # label(axiom). [assumption].
% 4.72/5.18 3 mult(A,i(A)) = unit # label(c09) # label(axiom). [assumption].
% 4.72/5.18 4 mult(i(A),A) = unit # label(c10) # label(axiom). [assumption].
% 4.72/5.18 5 mult(A,ld(A,B)) = B # label(c01) # label(axiom). [assumption].
% 4.72/5.18 6 ld(A,mult(A,B)) = B # label(c02) # label(axiom). [assumption].
% 4.72/5.18 7 mult(rd(A,B),B) = A # label(c03) # label(axiom). [assumption].
% 4.72/5.18 8 rd(mult(A,B),B) = A # label(c04) # label(axiom). [assumption].
% 4.72/5.18 9 mult(mult(mult(A,B),A),mult(A,C)) = mult(A,mult(mult(mult(B,A),A),C)) # label(c07) # label(axiom). [assumption].
% 4.72/5.18 10 mult(mult(A,B),mult(B,mult(C,B))) = mult(mult(A,mult(B,mult(B,C))),B) # label(c08) # label(axiom). [assumption].
% 4.72/5.18 11 mult(mult(A,mult(B,mult(B,C))),B) = mult(mult(A,B),mult(B,mult(C,B))). [copy(10),flip(a)].
% 4.72/5.18 12 mult(a,i(mult(b,a))) != i(b) # label(goals) # label(negated_conjecture) # answer(goals). [assumption].
% 4.72/5.18 15 ld(A,A) = unit. [para(1(a,1),6(a,1,2))].
% 4.72/5.18 16 ld(A,unit) = i(A). [para(3(a,1),6(a,1,2))].
% 4.72/5.18 17 i(i(A)) = A. [para(4(a,1),6(a,1,2)),rewrite([16(3)])].
% 4.72/5.18 19 ld(rd(A,B),A) = B. [para(7(a,1),6(a,1,2))].
% 4.72/5.18 22 rd(unit,A) = i(A). [para(4(a,1),8(a,1,1))].
% 4.72/5.18 23 rd(A,ld(B,A)) = B. [para(5(a,1),8(a,1,1))].
% 4.72/5.18 24 mult(mult(A,A),mult(A,B)) = mult(A,mult(mult(A,A),B)). [para(1(a,1),9(a,1,1,1)),rewrite([2(5)])].
% 4.72/5.18 25 mult(mult(mult(A,B),A),A) = mult(A,mult(mult(B,A),A)). [para(1(a,1),9(a,1,2)),rewrite([1(7)])].
% 4.72/5.18 26 mult(A,mult(mult(mult(B,A),A),i(A))) = mult(mult(A,B),A). [para(3(a,1),9(a,1,2)),rewrite([1(4)]),flip(a)].
% 4.72/5.18 27 mult(i(A),mult(mult(mult(B,i(A)),i(A)),A)) = mult(mult(i(A),B),i(A)). [para(4(a,1),9(a,1,2)),rewrite([1(6)]),flip(a)].
% 4.72/5.18 28 mult(A,mult(mult(mult(ld(A,B),A),A),C)) = mult(mult(B,A),mult(A,C)). [para(5(a,1),9(a,1,1,1)),flip(a)].
% 4.72/5.18 30 ld(mult(mult(A,B),A),mult(A,mult(mult(mult(B,A),A),C))) = mult(A,C). [para(9(a,1),6(a,1,2))].
% 4.72/5.18 37 mult(mult(A,mult(B,B)),B) = mult(mult(A,B),mult(B,B)). [para(1(a,1),11(a,1,1,2,2)),rewrite([2(6)])].
% 4.72/5.18 38 mult(mult(A,mult(A,B)),A) = mult(A,mult(A,mult(B,A))). [para(2(a,1),11(a,1,1)),rewrite([2(5)])].
% 4.72/5.18 39 mult(mult(i(mult(A,mult(A,B))),A),mult(A,mult(B,A))) = A. [para(4(a,1),11(a,1,1)),rewrite([2(2)]),flip(a)].
% 4.72/5.18 40 mult(mult(A,B),mult(B,mult(ld(B,C),B))) = mult(mult(A,mult(B,C)),B). [para(5(a,1),11(a,1,1,2,2)),flip(a)].
% 4.72/5.18 41 ld(mult(A,mult(B,mult(B,C))),mult(mult(A,B),mult(B,mult(C,B)))) = B. [para(11(a,1),6(a,1,2))].
% 4.72/5.18 44 rd(mult(mult(A,B),mult(B,mult(C,B))),B) = mult(A,mult(B,mult(B,C))). [para(11(a,1),8(a,1,1))].
% 4.72/5.18 54 mult(mult(A,A),A) = mult(A,mult(A,A)). [para(1(a,1),24(a,1,2)),rewrite([1(5)])].
% 4.72/5.18 55 mult(A,mult(mult(A,A),i(A))) = mult(A,A). [para(3(a,1),24(a,1,2)),rewrite([1(3)]),flip(a)].
% 4.72/5.18 57 mult(A,mult(mult(A,A),ld(A,B))) = mult(mult(A,A),B). [para(5(a,1),24(a,1,2)),flip(a)].
% 4.72/5.18 58 ld(mult(A,A),mult(A,mult(mult(A,A),B))) = mult(A,B). [para(24(a,1),6(a,1,2))].
% 4.72/5.18 60 rd(mult(A,mult(mult(A,A),B)),mult(A,B)) = mult(A,A). [para(24(a,1),8(a,1,1))].
% 4.72/5.18 84 mult(mult(A,A),i(A)) = A. [para(55(a,1),6(a,1,2)),rewrite([6(2)]),flip(a)].
% 4.72/5.18 87 mult(A,mult(mult(ld(A,B),A),A)) = mult(mult(B,A),A). [para(5(a,1),25(a,1,1,1)),flip(a)].
% 4.72/5.18 90 rd(mult(A,mult(mult(B,A),A)),A) = mult(mult(A,B),A). [para(25(a,1),8(a,1,1))].
% 4.72/5.18 105 rd(A,i(A)) = mult(A,A). [para(84(a,1),8(a,1,1))].
% 4.72/5.18 122 ld(A,mult(mult(A,B),A)) = mult(mult(mult(B,A),A),i(A)). [para(26(a,1),6(a,1,2))].
% 4.72/5.18 123 mult(mult(A,rd(B,A)),A) = mult(A,mult(mult(B,A),i(A))). [para(7(a,1),26(a,1,2,1,1)),flip(a)].
% 4.72/5.18 139 mult(mult(i(A),mult(A,A)),i(A)) = unit. [para(84(a,1),26(a,1,2,1,1)),rewrite([3(3),17(4),2(3),4(2)]),flip(a)].
% 4.72/5.18 143 mult(i(A),mult(A,A)) = A. [para(139(a,1),8(a,1,1)),rewrite([22(3),17(2)]),flip(a)].
% 4.72/5.18 149 ld(i(A),A) = mult(A,A). [para(143(a,1),6(a,1,2))].
% 4.72/5.18 152 mult(A,mult(i(A),i(A))) = i(A). [para(17(a,1),143(a,1,1))].
% 4.72/5.18 172 mult(A,mult(mult(A,A),mult(i(A),i(A)))) = A. [para(152(a,1),24(a,1,2)),rewrite([84(3)]),flip(a)].
% 4.72/5.18 173 mult(mult(A,A),mult(i(A),i(A))) = unit. [para(172(a,1),6(a,1,2)),rewrite([15(1)]),flip(a)].
% 4.72/5.18 193 i(mult(A,A)) = mult(i(A),i(A)). [para(173(a,1),6(a,1,2)),rewrite([16(3)])].
% 4.72/5.18 195 mult(mult(A,A),mult(mult(mult(B,mult(A,A)),mult(A,A)),mult(i(A),i(A)))) = mult(mult(mult(A,A),B),mult(A,A)). [para(173(a,1),9(a,1,2)),rewrite([1(6)]),flip(a)].
% 4.72/5.18 197 mult(mult(i(A),i(A)),mult(A,A)) = unit. [para(17(a,1),173(a,1,2,1)),rewrite([17(5)])].
% 4.72/5.18 210 ld(mult(i(A),i(A)),mult(A,A)) = mult(A,mult(A,mult(A,A))). [para(193(a,1),149(a,1,1)),rewrite([24(8),54(7)])].
% 4.72/5.18 211 mult(mult(i(A),i(A)),mult(mult(mult(B,mult(i(A),i(A))),mult(i(A),i(A))),mult(A,A))) = mult(mult(mult(i(A),i(A)),B),mult(i(A),i(A))). [para(193(a,1),27(a,1,1)),rewrite([193(5),193(9),193(16),193(20)])].
% 4.72/5.18 215 ld(mult(A,mult(B,B)),mult(mult(A,B),mult(B,B))) = B. [para(37(a,1),6(a,1,2))].
% 4.72/5.18 216 mult(mult(rd(A,mult(B,B)),B),mult(B,B)) = mult(A,B). [para(7(a,1),37(a,1,1)),flip(a)].
% 4.72/5.18 217 rd(mult(mult(A,B),mult(B,B)),B) = mult(A,mult(B,B)). [para(37(a,1),8(a,1,1))].
% 4.72/5.18 258 mult(A,mult(A,mult(ld(A,B),A))) = mult(mult(A,B),A). [para(5(a,1),38(a,1,1,2)),flip(a)].
% 4.72/5.18 259 ld(mult(A,mult(A,B)),mult(A,mult(A,mult(B,A)))) = A. [para(38(a,1),6(a,1,2))].
% 4.72/5.18 284 ld(A,mult(mult(A,A),B)) = mult(mult(A,A),ld(A,B)). [para(57(a,1),6(a,1,2))].
% 4.72/5.18 297 ld(mult(A,A),mult(A,B)) = mult(A,ld(mult(A,A),B)). [para(5(a,1),58(a,1,2,2))].
% 4.72/5.18 305 rd(mult(A,B),mult(A,ld(mult(A,A),B))) = mult(A,A). [para(5(a,1),60(a,1,1,2))].
% 4.72/5.18 321 ld(mult(mult(A,B),A),A) = mult(A,i(mult(mult(B,A),A))). [para(3(a,1),30(a,1,2,2)),rewrite([1(4)])].
% 4.72/5.18 342 ld(A,mult(mult(B,A),A)) = mult(mult(ld(A,B),A),A). [para(87(a,1),6(a,1,2))].
% 4.72/5.18 362 rd(mult(A,mult(B,A)),A) = mult(A,mult(mult(B,A),i(A))). [para(7(a,1),90(a,1,1,2,1)),rewrite([123(6)])].
% 4.72/5.18 366 rd(mult(A,mult(A,mult(A,mult(A,A)))),mult(A,A)) = mult(A,mult(A,A)). [para(84(a,1),90(a,2,1)),rewrite([143(4),24(4),24(3),54(2)])].
% 4.72/5.18 381 ld(mult(rd(A,B),mult(B,B)),mult(A,mult(B,B))) = B. [para(7(a,1),215(a,1,2,1))].
% 4.72/5.18 439 mult(mult(A,mult(B,A)),A) = mult(mult(A,B),mult(A,A)). [para(9(a,1),217(a,1,1)),rewrite([362(5),26(6)])].
% 4.72/5.18 442 mult(i(A),mult(A,mult(A,mult(A,A)))) = mult(A,mult(A,A)). [para(143(a,1),217(a,1,1,1)),rewrite([24(3),54(2),366(6),24(6),54(5)]),flip(a)].
% 4.72/5.18 451 mult(mult(mult(A,B),B),i(B)) = mult(B,mult(ld(B,A),B)). [para(258(a,1),6(a,1,2)),rewrite([122(3)])].
% 4.72/5.18 546 mult(mult(i(A),i(A)),ld(i(A),mult(A,A))) = A. [para(197(a,1),284(a,1,2)),rewrite([16(3),17(2)]),flip(a)].
% 4.72/5.18 620 ld(mult(i(A),i(A)),A) = ld(i(A),mult(A,A)). [para(546(a,1),6(a,1,2))].
% 4.72/5.18 725 ld(i(A),mult(A,A)) = mult(A,mult(A,A)). [para(143(a,1),297(a,1,2)),rewrite([620(4),210(9),442(8)])].
% 4.72/5.18 742 mult(i(A),mult(A,mult(A,A))) = mult(A,A). [para(620(a,1),297(a,2,2)),rewrite([4(5),16(5),193(4),17(2),17(2),725(5)]),flip(a)].
% 4.72/5.18 760 mult(i(A),mult(mult(mult(mult(A,mult(A,A)),i(A)),i(A)),B)) = mult(A,mult(i(A),B)). [para(725(a,1),28(a,1,2,1,1,1)),rewrite([84(12)])].
% 4.72/5.18 767 mult(mult(A,i(B)),mult(i(B),mult(mult(B,mult(B,B)),i(B)))) = mult(mult(A,B),i(B)). [para(742(a,1),11(a,1,1,2,2)),rewrite([143(3)]),flip(a)].
% 4.72/5.18 930 mult(mult(mult(A,mult(A,A)),i(A)),i(A)) = A. [para(84(a,1),342(a,1,2,1)),rewrite([3(3),16(3),17(2),725(3)]),flip(a)].
% 4.72/5.18 949 mult(i(A),mult(A,B)) = mult(A,mult(i(A),B)). [back_rewrite(760),rewrite([930(7)])].
% 4.72/5.18 954 mult(mult(A,mult(A,A)),i(A)) = mult(A,A). [para(930(a,1),8(a,1,1)),rewrite([105(2)]),flip(a)].
% 4.72/5.18 956 mult(mult(ld(i(A),mult(A,mult(A,A))),i(A)),i(A)) = mult(A,A). [para(930(a,1),342(a,1,2)),rewrite([149(2)]),flip(a)].
% 4.72/5.18 961 mult(mult(A,i(B)),B) = mult(mult(A,B),i(B)). [back_rewrite(767),rewrite([954(7),949(5),4(4),1(4)])].
% 4.72/5.18 985 rd(A,mult(A,mult(B,A))) = mult(i(mult(A,mult(A,B))),A). [para(39(a,1),8(a,1,1))].
% 4.72/5.18 1046 mult(mult(A,A),mult(i(A),B)) = mult(i(A),mult(mult(A,A),B)). [para(954(a,1),28(a,2,1)),rewrite([956(9)]),flip(a)].
% 4.72/5.18 1060 mult(A,mult(i(A),ld(A,B))) = mult(i(A),B). [para(5(a,1),949(a,1,2)),flip(a)].
% 4.72/5.18 1061 ld(i(A),mult(A,mult(i(A),B))) = mult(A,B). [para(949(a,1),6(a,1,2))].
% 4.72/5.18 1063 rd(mult(A,mult(i(A),B)),mult(A,B)) = i(A). [para(949(a,1),8(a,1,1))].
% 4.72/5.18 1068 mult(A,mult(A,mult(mult(i(A),B),A))) = mult(A,mult(B,A)). [para(949(a,1),11(a,1,1)),rewrite([949(3),38(5),4(7),2(9)])].
% 4.72/5.18 1072 mult(mult(mult(A,mult(i(A),B)),i(A)),i(A)) = mult(i(A),mult(mult(mult(A,B),i(A)),i(A))). [para(949(a,1),25(a,1,1,1))].
% 4.72/5.18 1075 mult(mult(i(A),i(A)),mult(mult(A,A),B)) = mult(mult(A,A),mult(mult(i(A),i(A)),B)). [para(193(a,1),949(a,1,1)),rewrite([193(9)])].
% 4.72/5.18 1086 mult(A,mult(A,mult(i(A),mult(ld(A,B),A)))) = mult(i(A),mult(mult(A,B),A)). [para(258(a,1),949(a,1,2)),rewrite([949(9)]),flip(a)].
% 4.72/5.18 1107 mult(mult(A,mult(i(A),B)),i(A)) = mult(i(A),mult(ld(i(A),B),i(A))). [para(3(a,1),40(a,1,1)),rewrite([2(8)]),flip(a)].
% 4.72/5.18 1108 mult(mult(A,mult(i(A),B)),A) = mult(A,mult(ld(A,B),A)). [para(4(a,1),40(a,1,1)),rewrite([2(5),949(6)]),flip(a)].
% 4.72/5.18 1141 mult(mult(mult(rd(A,mult(B,B)),B),mult(mult(B,B),C)),mult(B,B)) = mult(mult(A,B),mult(mult(B,B),mult(ld(mult(B,B),C),mult(B,B)))). [para(216(a,1),40(a,1,1)),flip(a)].
% 4.72/5.18 1169 mult(i(A),mult(mult(mult(A,B),i(A)),i(A))) = mult(B,mult(i(A),i(A))). [back_rewrite(1072),rewrite([1107(5),439(8),5(4)]),flip(a)].
% 4.72/5.18 1171 ld(mult(A,i(B)),mult(mult(A,B),i(B))) = B. [para(961(a,1),6(a,1,2))].
% 4.72/5.18 1172 mult(mult(rd(A,i(B)),B),i(B)) = mult(A,B). [para(7(a,1),961(a,1,1)),flip(a)].
% 4.72/5.18 1173 rd(mult(mult(A,B),i(B)),B) = mult(A,i(B)). [para(961(a,1),8(a,1,1))].
% 4.72/5.18 1182 mult(mult(A,mult(i(B),i(B))),mult(B,B)) = mult(mult(A,mult(B,B)),mult(i(B),i(B))). [para(193(a,1),961(a,1,1,2)),rewrite([193(10)])].
% 4.72/5.18 1206 mult(mult(ld(A,mult(B,i(A))),A),A) = mult(ld(A,B),A). [para(961(a,1),342(a,1,2,1)),rewrite([961(4),451(4),6(4)]),flip(a)].
% 4.72/5.18 1211 mult(mult(i(A),i(A)),mult(mult(mult(B,mult(A,A)),mult(i(A),i(A))),mult(i(A),i(A)))) = mult(mult(mult(i(A),i(A)),B),mult(i(A),i(A))). [back_rewrite(211),rewrite([1182(13),1182(9)])].
% 4.72/5.18 1212 ld(A,mult(i(A),B)) = mult(i(A),ld(A,B)). [para(1060(a,1),6(a,1,2))].
% 4.72/5.18 1224 mult(A,mult(ld(A,ld(A,B)),A)) = mult(mult(i(A),B),A). [para(1060(a,1),258(a,2,1)),rewrite([1212(4),1068(7)])].
% 4.72/5.18 1226 ld(mult(A,mult(i(A),B)),mult(A,mult(ld(A,B),A))) = A. [para(1060(a,1),259(a,1,1,2)),rewrite([1068(9)])].
% 4.72/5.18 1240 mult(i(A),mult(ld(i(A),ld(A,B)),i(A))) = mult(mult(i(A),B),i(A)). [para(1060(a,1),40(a,2,1)),rewrite([3(2),2(9)])].
% 4.72/5.18 1241 ld(i(A),mult(A,B)) = mult(A,ld(i(A),B)). [para(5(a,1),1061(a,1,2,2))].
% 4.72/5.18 1246 rd(mult(A,B),mult(A,ld(i(A),B))) = i(A). [para(5(a,1),1063(a,1,1,2))].
% 4.72/5.18 1252 rd(mult(mult(A,A),mult(mult(i(A),i(A)),B)),mult(mult(A,A),B)) = mult(i(A),i(A)). [para(193(a,1),1063(a,1,1,2,1)),rewrite([193(11)])].
% 4.72/5.18 1293 ld(mult(i(A),mult(i(A),mult(mult(A,A),B))),mult(A,mult(i(A),mult(B,i(A))))) = i(A). [para(84(a,1),41(a,1,2,1)),rewrite([1046(6),1046(5)])].
% 4.72/5.18 1355 ld(mult(rd(A,B),i(B)),mult(A,i(B))) = B. [para(7(a,1),1171(a,1,2,1))].
% 4.72/5.18 1386 rd(mult(A,B),i(B)) = mult(rd(A,i(B)),B). [para(1172(a,1),8(a,1,1))].
% 4.72/5.18 1407 mult(A,mult(ld(A,rd(B,i(A))),A)) = mult(mult(B,A),A). [para(1172(a,1),961(a,1,1)),rewrite([451(8)]),flip(a)].
% 4.72/5.18 1412 rd(mult(A,i(B)),B) = mult(rd(A,B),i(B)). [para(7(a,1),1173(a,1,1,1))].
% 4.72/5.18 1417 mult(A,mult(mult(ld(A,B),A),i(A))) = mult(mult(B,A),i(A)). [para(961(a,1),1173(a,2)),rewrite([17(2),451(4),362(4),17(9),961(8)])].
% 4.72/5.18 1418 mult(i(A),ld(A,ld(i(A),B))) = ld(A,B). [para(5(a,1),1212(a,1,2)),flip(a)].
% 4.72/5.18 1482 mult(rd(A,B),ld(i(rd(A,B)),B)) = ld(i(rd(A,B)),A). [para(7(a,1),1241(a,1,2)),flip(a)].
% 4.72/5.18 1496 mult(mult(mult(A,B),i(A)),i(A)) = mult(ld(i(A),B),mult(i(A),i(A))). [para(1241(a,1),87(a,1,2,1,1)),rewrite([1169(9)]),flip(a)].
% 4.72/5.18 1516 mult(i(A),mult(ld(i(A),B),mult(i(A),i(A)))) = mult(B,mult(i(A),i(A))). [back_rewrite(1169),rewrite([1496(6)])].
% 4.72/5.18 1656 mult(rd(A,i(ld(A,B))),ld(A,B)) = rd(B,i(ld(A,B))). [para(5(a,1),1386(a,1,1)),flip(a)].
% 4.72/5.18 1657 mult(rd(rd(A,B),i(B)),B) = rd(A,i(B)). [para(7(a,1),1386(a,1,1)),flip(a)].
% 4.72/5.18 1691 ld(i(A),ld(A,B)) = ld(A,ld(i(A),B)). [para(1418(a,1),6(a,1,2))].
% 4.72/5.18 1692 rd(ld(A,B),ld(A,ld(i(A),B))) = i(A). [para(1418(a,1),8(a,1,1))].
% 4.72/5.18 1713 mult(i(A),ld(A,ld(A,ld(i(A),B)))) = ld(A,ld(A,B)). [para(1418(a,1),1212(a,1,2)),flip(a)].
% 4.72/5.18 1717 mult(i(A),mult(ld(A,ld(i(A),B)),i(A))) = mult(mult(i(A),B),i(A)). [back_rewrite(1240),rewrite([1691(4)])].
% 4.72/5.18 1721 mult(A,mult(mult(B,A),i(A))) = mult(A,mult(A,mult(i(A),B))). [para(4(a,1),44(a,1,1,1)),rewrite([2(4),362(3),949(8),949(7)])].
% 4.72/5.18 1733 mult(mult(A,A),mult(mult(B,mult(A,A)),mult(i(A),i(A)))) = mult(mult(A,A),mult(mult(A,A),mult(mult(i(A),i(A)),B))). [para(197(a,1),44(a,1,1,1)),rewrite([2(6),362(6),193(5),1075(16),1075(15)])].
% 4.72/5.18 1750 mult(mult(A,B),i(B)) = mult(B,mult(i(B),A)). [back_rewrite(1417),rewrite([1721(5),1060(4)]),flip(a)].
% 4.72/5.18 1759 rd(mult(A,mult(B,A)),A) = mult(A,mult(A,mult(i(A),B))). [back_rewrite(362),rewrite([1750(6)])].
% 4.72/5.18 1769 mult(mult(A,rd(B,A)),A) = mult(A,mult(A,mult(i(A),B))). [back_rewrite(123),rewrite([1750(6)])].
% 4.72/5.18 1775 mult(mult(A,A),mult(mult(A,A),mult(mult(i(A),i(A)),mult(B,mult(A,A))))) = mult(mult(mult(A,A),B),mult(A,A)). [back_rewrite(195),rewrite([1733(10)])].
% 4.72/5.18 1815 mult(A,mult(i(A),rd(B,i(A)))) = mult(B,A). [back_rewrite(1172),rewrite([1750(5)])].
% 4.72/5.18 1819 mult(mult(A,i(B)),B) = mult(B,mult(i(B),A)). [back_rewrite(961),rewrite([1750(6)])].
% 4.72/5.18 1820 mult(A,mult(ld(A,B),A)) = mult(A,mult(i(A),mult(B,A))). [back_rewrite(451),rewrite([1750(4)]),flip(a)].
% 4.72/5.18 1841 mult(A,mult(i(A),mult(rd(B,i(A)),A))) = mult(mult(B,A),A). [back_rewrite(1407),rewrite([1820(5)])].
% 4.72/5.18 1851 ld(mult(A,mult(i(A),B)),mult(A,mult(i(A),mult(B,A)))) = A. [back_rewrite(1226),rewrite([1820(6)])].
% 4.72/5.18 1852 mult(A,mult(i(A),mult(ld(A,B),A))) = mult(mult(i(A),B),A). [back_rewrite(1224),rewrite([1820(4)])].
% 4.72/5.18 1877 mult(mult(mult(rd(A,mult(B,B)),B),mult(mult(B,B),C)),mult(B,B)) = mult(mult(A,B),mult(mult(B,B),mult(mult(i(B),i(B)),mult(C,mult(B,B))))). [back_rewrite(1141),rewrite([1820(15),193(12)])].
% 4.72/5.18 1900 mult(mult(A,mult(i(A),B)),A) = mult(A,mult(i(A),mult(B,A))). [back_rewrite(1108),rewrite([1820(7)])].
% 4.72/5.18 1901 mult(mult(A,mult(i(A),B)),i(A)) = mult(A,mult(i(A),mult(B,i(A)))). [back_rewrite(1107),rewrite([1820(11),17(8),949(10)])].
% 4.72/5.18 1921 mult(mult(A,B),mult(B,mult(i(B),mult(C,B)))) = mult(mult(A,mult(B,C)),B). [back_rewrite(40),rewrite([1820(4)])].
% 4.72/5.18 1922 mult(i(A),mult(mult(A,B),A)) = mult(A,mult(mult(i(A),B),A)). [back_rewrite(1086),rewrite([1852(5)]),flip(a)].
% 4.72/5.18 1923 ld(rd(rd(A,B),i(B)),rd(A,i(B))) = B. [para(1657(a,1),6(a,1,2))].
% 4.72/5.18 1924 rd(rd(A,i(B)),B) = rd(rd(A,B),i(B)). [para(1657(a,1),8(a,1,1))].
% 4.72/5.18 1958 ld(i(A),mult(mult(ld(A,B),A),A)) = ld(A,ld(i(A),mult(mult(B,A),A))). [para(342(a,1),1691(a,1,2))].
% 4.72/5.18 1969 ld(mult(A,B),mult(B,mult(i(B),A))) = i(B). [para(1750(a,1),6(a,1,2))].
% 4.72/5.18 1970 mult(A,mult(i(A),rd(B,A))) = mult(B,i(A)). [para(7(a,1),1750(a,1,1)),flip(a)].
% 4.72/5.18 1981 mult(A,mult(mult(i(A),B),A)) = mult(B,A). [para(1750(a,1),28(a,1,2)),rewrite([1852(5),3(7),1(7)])].
% 4.72/5.18 1983 mult(mult(A,mult(B,B)),mult(i(B),i(B))) = mult(mult(B,B),mult(mult(i(B),i(B)),A)). [para(193(a,1),1750(a,1,2)),rewrite([193(9)])].
% 4.72/5.18 2029 mult(i(A),mult(mult(A,B),A)) = mult(B,A). [back_rewrite(1922),rewrite([1981(8)])].
% 4.72/5.18 2033 mult(mult(i(A),i(A)),mult(mult(mult(A,A),mult(mult(i(A),i(A)),B)),mult(i(A),i(A)))) = mult(mult(mult(i(A),i(A)),B),mult(i(A),i(A))). [back_rewrite(1211),rewrite([1983(9)])].
% 4.72/5.18 2157 mult(ld(i(A),B),A) = mult(A,mult(B,A)). [para(5(a,1),1981(a,1,2,1)),flip(a)].
% 4.72/5.18 2158 ld(A,mult(B,A)) = mult(mult(i(A),B),A). [para(1981(a,1),6(a,1,2))].
% 4.72/5.18 2169 mult(mult(A,A),mult(mult(mult(i(A),i(A)),B),mult(A,A))) = mult(B,mult(A,A)). [para(193(a,1),1981(a,1,2,1,1))].
% 4.72/5.18 2178 mult(mult(A,A),ld(A,mult(mult(mult(i(A),i(A)),B),mult(A,A)))) = ld(A,mult(B,mult(A,A))). [para(1981(a,1),284(a,1,2)),rewrite([193(6)]),flip(a)].
% 4.72/5.18 2188 mult(mult(i(mult(A,mult(A,mult(i(A),B)))),A),mult(B,A)) = A. [para(1981(a,1),39(a,1,2))].
% 4.72/5.18 2189 mult(A,mult(i(A),mult(mult(i(A),B),A))) = mult(i(A),mult(B,A)). [para(1981(a,1),949(a,1,2)),flip(a)].
% 4.72/5.18 2229 mult(mult(ld(A,B),A),A) = mult(mult(i(A),mult(B,A)),A). [back_rewrite(342),rewrite([2158(3)]),flip(a)].
% 4.72/5.18 2256 ld(i(A),mult(mult(i(A),mult(B,A)),A)) = ld(A,ld(i(A),mult(mult(B,A),A))). [back_rewrite(1958),rewrite([2229(4)])].
% 4.72/5.18 2277 mult(ld(A,B),A) = mult(i(A),mult(B,A)). [back_rewrite(1206),rewrite([2229(5),1819(4),949(5),1900(6),2189(6)]),flip(a)].
% 4.72/5.18 2351 ld(i(A),mult(B,A)) = mult(mult(A,B),A). [para(2029(a,1),6(a,1,2))].
% 4.72/5.18 2353 mult(A,mult(A,mult(i(A),mult(i(A),B)))) = B. [para(7(a,1),2029(a,2)),rewrite([1769(4),949(6),949(5)])].
% 4.72/5.18 2376 mult(mult(i(A),mult(B,A)),i(A)) = mult(i(A),B). [para(2029(a,1),38(a,1,1,2)),rewrite([1750(11),949(10),949(12),949(11),2353(12)])].
% 4.72/5.18 2416 mult(ld(A,ld(i(A),B)),i(A)) = mult(A,mult(ld(A,B),i(A))). [para(1418(a,1),2029(a,1,2,1)),rewrite([17(2)]),flip(a)].
% 4.72/5.18 2418 mult(i(rd(rd(A,B),i(B))),mult(rd(A,i(B)),rd(rd(A,B),i(B)))) = mult(B,rd(rd(A,B),i(B))). [para(1657(a,1),2029(a,1,2,1))].
% 4.72/5.18 2428 ld(A,mult(mult(A,B),mult(A,A))) = mult(A,mult(i(A),mult(mult(B,A),A))). [back_rewrite(2256),rewrite([2351(6),1900(5),2351(9),439(8)]),flip(a)].
% 4.72/5.18 2474 mult(A,mult(i(A),mult(ld(A,B),i(A)))) = mult(mult(i(A),B),i(A)). [back_rewrite(1717),rewrite([2416(6),949(6)])].
% 4.72/5.18 2497 ld(ld(i(A),B),mult(A,mult(B,A))) = A. [para(2157(a,1),6(a,1,2))].
% 4.72/5.18 2498 mult(A,mult(A,mult(i(A),B))) = ld(i(A),B). [para(2157(a,1),8(a,1,1)),rewrite([1759(3)])].
% 4.72/5.18 2504 mult(ld(A,B),i(A)) = mult(i(A),mult(B,i(A))). [para(17(a,1),2157(a,1,1,1))].
% 4.72/5.18 2542 mult(mult(A,mult(B,A)),i(A)) = mult(A,B). [para(2157(a,1),1750(a,1,1)),rewrite([5(8)])].
% 4.72/5.18 2557 mult(mult(i(ld(i(A),B)),A),mult(B,A)) = A. [back_rewrite(2188),rewrite([2498(4)])].
% 4.72/5.18 2563 mult(mult(A,rd(B,A)),A) = ld(i(A),B). [back_rewrite(1769),rewrite([2498(7)])].
% 4.72/5.18 2569 rd(mult(A,mult(B,A)),A) = ld(i(A),B). [back_rewrite(1759),rewrite([2498(7)])].
% 4.72/5.18 2590 mult(A,mult(i(A),mult(i(A),mult(B,i(A))))) = mult(mult(i(A),B),i(A)). [back_rewrite(2474),rewrite([2504(4)])].
% 4.72/5.18 2642 ld(A,ld(i(A),B)) = mult(A,mult(i(A),B)). [para(1981(a,1),2158(a,2,1)),rewrite([17(2),1819(4),949(3),2498(4),1819(6)])].
% 4.72/5.18 2667 ld(A,ld(A,B)) = mult(i(A),mult(i(A),B)). [back_rewrite(1713),rewrite([2642(4),6(5)]),flip(a)].
% 4.72/5.18 2674 rd(ld(A,B),mult(A,mult(i(A),B))) = i(A). [back_rewrite(1692),rewrite([2642(4)])].
% 4.72/5.18 2675 ld(i(A),ld(A,B)) = mult(A,mult(i(A),B)). [back_rewrite(1691),rewrite([2642(6)])].
% 4.72/5.18 2676 mult(A,mult(i(A),mult(i(A),B))) = ld(A,B). [back_rewrite(1418),rewrite([2642(4),949(5)])].
% 4.72/5.18 2677 ld(A,mult(B,i(A))) = mult(mult(i(A),B),i(A)). [back_rewrite(2590),rewrite([2676(7)])].
% 4.72/5.18 2824 ld(ld(A,B),mult(i(A),mult(B,A))) = A. [para(2277(a,1),6(a,1,2))].
% 4.72/5.18 2825 rd(mult(i(A),mult(B,A)),A) = ld(A,B). [para(2277(a,1),8(a,1,1))].
% 4.72/5.18 2836 mult(mult(A,ld(mult(A,A),B)),mult(A,A)) = mult(mult(i(A),i(A)),mult(mult(A,B),mult(A,A))). [para(297(a,1),2277(a,1,1)),rewrite([193(7)])].
% 4.72/5.18 2850 rd(mult(i(A),mult(B,A)),i(A)) = mult(rd(ld(A,B),i(A)),A). [para(2277(a,1),1386(a,1,1))].
% 4.72/5.18 3028 ld(ld(i(A),rd(B,A)),mult(A,B)) = A. [para(7(a,1),2497(a,1,2,2))].
% 4.72/5.18 3061 mult(mult(A,B),i(A)) = mult(A,rd(B,A)). [para(7(a,1),2542(a,1,1,2))].
% 4.72/5.18 3062 rd(mult(A,B),i(A)) = mult(A,mult(B,A)). [para(2542(a,1),8(a,1,1))].
% 4.72/5.18 3091 ld(mult(A,mult(B,i(A))),mult(A,B)) = A. [para(2542(a,1),1355(a,1,2)),rewrite([2569(3),2277(4),17(2)])].
% 4.72/5.18 3093 rd(mult(A,B),A) = mult(A,mult(B,i(A))). [para(2542(a,1),1386(a,1,1)),rewrite([17(3),17(6),2569(5),2277(6),17(4)])].
% 4.72/5.18 3117 mult(A,rd(mult(i(A),B),A)) = mult(A,mult(i(A),mult(B,i(A)))). [back_rewrite(1901),rewrite([3061(5)])].
% 4.72/5.18 3119 mult(ld(i(A),B),mult(i(A),i(A))) = mult(A,rd(rd(B,A),A)). [back_rewrite(1496),rewrite([3061(3),3061(4)]),flip(a)].
% 4.72/5.18 3130 mult(rd(ld(A,B),i(A)),A) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(2850),rewrite([3093(5),17(4)]),flip(a)].
% 4.72/5.18 3139 mult(rd(A,B),i(B)) = mult(A,mult(i(B),i(B))). [back_rewrite(1516),rewrite([3119(7),949(5),1970(5)])].
% 4.72/5.18 3168 rd(mult(A,i(B)),B) = mult(A,mult(i(B),i(B))). [back_rewrite(1412),rewrite([3139(6)])].
% 4.72/5.18 3173 rd(ld(i(A),B),A) = mult(A,rd(B,A)). [para(2563(a,1),8(a,1,1))].
% 4.72/5.18 3209 mult(mult(i(A),B),A) = mult(i(A),rd(B,i(A))). [para(1386(a,1),2563(a,1,1,2)),rewrite([2376(7),17(6),2158(6)]),flip(a)].
% 4.72/5.18 3502 ld(A,mult(B,A)) = mult(i(A),rd(B,i(A))). [back_rewrite(2158),rewrite([3209(5)])].
% 4.72/5.18 3647 rd(mult(i(A),B),A) = ld(A,rd(B,A)). [para(7(a,1),2825(a,1,1,2))].
% 4.72/5.18 3648 rd(mult(mult(i(A),i(A)),mult(B,mult(A,A))),mult(A,A)) = ld(mult(A,A),B). [para(193(a,1),2825(a,1,1,1))].
% 4.72/5.18 3653 mult(A,mult(i(A),mult(B,i(A)))) = rd(B,A). [back_rewrite(3117),rewrite([3647(3),5(3)]),flip(a)].
% 4.72/5.18 3672 ld(mult(i(A),mult(i(A),mult(mult(A,A),B))),rd(B,A)) = i(A). [back_rewrite(1293),rewrite([3653(11)])].
% 4.72/5.18 3678 ld(i(A),rd(B,A)) = mult(A,mult(B,i(A))). [para(3028(a,1),23(a,1,2)),rewrite([3093(2)]),flip(a)].
% 4.72/5.18 3764 mult(A,rd(ld(A,B),A)) = mult(B,i(A)). [para(5(a,1),3061(a,1,1)),flip(a)].
% 4.72/5.18 3770 ld(A,rd(B,A)) = mult(i(A),mult(B,i(A))). [para(3061(a,1),11(a,1)),rewrite([3647(5),3647(3),2667(3),2676(6),3(4),2(8)])].
% 4.72/5.18 3777 mult(mult(mult(A,A),B),mult(i(A),i(A))) = mult(mult(A,A),rd(B,mult(A,A))). [para(193(a,1),3061(a,1,2))].
% 4.72/5.18 3818 rd(mult(i(A),B),A) = mult(i(A),mult(B,i(A))). [back_rewrite(3647),rewrite([3770(5)])].
% 4.72/5.18 3821 mult(mult(A,A),mult(mult(i(A),i(A)),rd(mult(mult(i(A),i(A)),B),mult(A,A)))) = mult(mult(mult(i(A),i(A)),B),mult(i(A),i(A))). [back_rewrite(2033),rewrite([3777(13),1075(12)])].
% 4.72/5.18 3941 mult(A,mult(i(A),mult(B,A))) = rd(B,i(A)). [para(5(a,1),3062(a,1,1)),rewrite([2277(4)]),flip(a)].
% 4.72/5.18 3990 ld(A,mult(mult(A,B),mult(A,A))) = mult(rd(B,i(A)),A). [back_rewrite(2428),rewrite([3941(9),1386(7)])].
% 4.72/5.18 3994 mult(mult(A,mult(B,C)),B) = mult(mult(A,B),rd(C,i(B))). [back_rewrite(1921),rewrite([3941(5)]),flip(a)].
% 4.72/5.18 4016 ld(mult(A,mult(i(A),B)),rd(B,i(A))) = A. [back_rewrite(1851),rewrite([3941(7)])].
% 4.72/5.18 4020 rd(rd(A,i(B)),i(B)) = mult(mult(A,B),B). [back_rewrite(1841),rewrite([3941(6)])].
% 4.72/5.18 4224 mult(mult(A,B),mult(mult(B,B),mult(mult(i(B),i(B)),mult(C,mult(B,B))))) = mult(mult(A,B),rd(C,mult(i(B),i(B)))). [back_rewrite(1877),rewrite([3994(8),216(5),193(3)]),flip(a)].
% 4.72/5.18 4378 mult(mult(mult(A,A),B),mult(A,A)) = mult(mult(A,A),rd(B,mult(i(A),i(A)))). [back_rewrite(1775),rewrite([4224(10)]),flip(a)].
% 4.72/5.18 4397 mult(mult(A,A),mult(mult(i(A),i(A)),rd(mult(mult(i(A),i(A)),B),mult(A,A)))) = mult(mult(i(A),i(A)),rd(B,mult(A,A))). [back_rewrite(3821),rewrite([4378(20),17(17),17(17)])].
% 4.72/5.18 4449 mult(mult(A,A),B) = mult(A,ld(i(A),B)). [para(3093(a,1),2563(a,1,1,2)),rewrite([3994(5),8(5),1241(5)])].
% 4.72/5.18 4475 rd(mult(i(A),ld(A,B)),mult(A,A)) = mult(i(A),ld(A,rd(B,mult(A,A)))). [back_rewrite(4397),rewrite([4449(8),17(7),4449(10),17(4),4449(10),6(10),5(7),4449(11),17(8)])].
% 4.72/5.18 4527 ld(mult(A,mult(i(A),B)),rd(B,A)) = i(A). [back_rewrite(3672),rewrite([4449(4),949(6),5(5),949(3)])].
% 4.72/5.18 4529 ld(mult(A,A),B) = mult(i(A),ld(A,B)). [back_rewrite(3648),rewrite([4449(6),17(3),4475(7),8(5)]),flip(a)].
% 4.72/5.18 4559 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(rd(B,i(A)),A)). [back_rewrite(2836),rewrite([4529(2),1060(4),4449(11),17(7),3990(9)])].
% 4.72/5.18 4574 ld(A,mult(B,mult(A,A))) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(2178),rewrite([4449(5),17(4),4559(6),3130(6),1212(8),1212(7),3502(6),1386(7),4449(11),6(11),2676(8),3502(4),4020(5)]),flip(a)].
% 4.72/5.18 4575 mult(rd(A,i(B)),B) = mult(A,mult(B,B)). [back_rewrite(2169),rewrite([4449(5),17(4),4559(6),3130(6),4449(8),6(8),3941(5),1386(3)])].
% 4.72/5.18 4608 rd(A,mult(B,ld(i(B),A))) = mult(i(B),i(B)). [back_rewrite(1252),rewrite([4449(5),17(4),4449(5),6(5),5(2),4449(2)])].
% 4.72/5.18 4698 rd(mult(A,B),mult(i(A),B)) = mult(A,A). [back_rewrite(305),rewrite([4529(3),1060(5)])].
% 4.72/5.18 4798 mult(rd(A,B),mult(B,B)) = rd(A,i(B)). [back_rewrite(1657),rewrite([4575(4)])].
% 4.72/5.18 4799 mult(A,mult(ld(A,B),ld(A,B))) = rd(B,i(ld(A,B))). [back_rewrite(1656),rewrite([4575(5)])].
% 4.72/5.18 4817 rd(mult(A,B),i(B)) = mult(A,mult(B,B)). [back_rewrite(1386),rewrite([4575(6)])].
% 4.72/5.18 4945 ld(rd(A,i(B)),mult(A,mult(B,B))) = B. [back_rewrite(381),rewrite([4798(3)])].
% 4.72/5.18 5069 rd(ld(A,B),A) = mult(mult(i(A),B),i(A)). [para(3764(a,1),6(a,1,2)),rewrite([2677(3)]),flip(a)].
% 4.72/5.18 5085 mult(mult(i(mult(A,mult(B,i(A)))),A),B) = A. [para(3764(a,1),39(a,1,1,1,1,2)),rewrite([5069(7),1819(10),2676(10),5(7)])].
% 4.72/5.18 5090 mult(mult(A,B),A) = mult(A,rd(B,i(A))). [para(1241(a,1),3764(a,1,2,1)),rewrite([3062(6),2157(4),949(5),949(4),3941(4),17(6)]),flip(a)].
% 4.72/5.18 5118 mult(A,mult(i(A),mult(B,mult(i(A),i(A))))) = mult(mult(B,i(A)),i(A)). [para(3764(a,1),3061(a,1,1)),rewrite([5069(6),5090(8),17(7),3818(8),3139(8)]),flip(a)].
% 4.72/5.18 5726 mult(A,rd(rd(B,A),i(A))) = ld(i(A),B). [back_rewrite(2563),rewrite([5090(3)])].
% 4.72/5.18 5918 ld(mult(A,rd(B,i(A))),A) = mult(A,i(mult(mult(B,A),A))). [back_rewrite(321),rewrite([5090(2)])].
% 4.72/5.18 5940 mult(i(rd(rd(A,B),i(B))),mult(rd(A,i(B)),rd(rd(A,B),i(B)))) = ld(i(B),A). [back_rewrite(2418),rewrite([5726(15)])].
% 4.72/5.18 6088 rd(A,mult(i(B),ld(B,A))) = mult(B,B). [para(4529(a,1),23(a,1,2))].
% 4.72/5.18 6105 ld(i(rd(A,i(B))),mult(A,mult(B,B))) = mult(rd(A,i(B)),ld(i(rd(A,i(B))),B)). [para(4575(a,1),1241(a,1,2))].
% 4.72/5.18 6145 rd(A,mult(i(rd(A,B)),B)) = mult(rd(A,B),rd(A,B)). [para(7(a,1),4698(a,1,1))].
% 4.72/5.18 6475 rd(mult(A,B),mult(i(mult(A,mult(B,i(A)))),A)) = mult(mult(A,mult(B,i(A))),mult(A,mult(B,i(A)))). [para(3091(a,1),6088(a,1,2,2))].
% 4.72/5.18 6835 mult(mult(i(mult(A,mult(B,A))),A),mult(B,mult(A,A))) = A. [para(1815(a,1),39(a,1,1,1,1,2)),rewrite([3209(9),4020(9),3941(9),4817(7)])].
% 4.72/5.18 6871 rd(rd(A,B),i(B)) = mult(B,mult(i(B),A)). [para(1923(a,1),2824(a,1,1)),rewrite([5940(11),2642(3)]),flip(a)].
% 4.72/5.18 6898 rd(rd(A,i(B)),B) = mult(B,mult(i(B),A)). [back_rewrite(1924),rewrite([6871(6)])].
% 4.72/5.18 7003 rd(A,mult(B,A)) = mult(i(ld(i(A),B)),A). [para(2557(a,1),8(a,1,1))].
% 4.72/5.18 7662 rd(rd(A,B),B) = mult(mult(A,i(B)),i(B)). [para(3653(a,1),3093(a,1,1)),rewrite([5090(8),17(7),3168(6),5118(9)])].
% 4.72/5.18 7953 mult(mult(i(mult(A,B)),A),rd(B,i(A))) = A. [para(7(a,1),5085(a,1,1,1,1,2))].
% 4.72/5.18 7954 mult(i(mult(A,mult(B,i(A)))),A) = rd(A,B). [para(5085(a,1),8(a,1,1)),flip(a)].
% 4.72/5.18 7958 mult(mult(i(rd(A,B)),B),ld(B,A)) = B. [para(2157(a,1),5085(a,1,1,1,1,2)),rewrite([3653(5),17(5)])].
% 4.72/5.18 7972 mult(mult(A,mult(B,i(A))),mult(A,mult(B,i(A)))) = rd(mult(A,B),rd(A,B)). [back_rewrite(6475),rewrite([7954(6)]),flip(a)].
% 4.72/5.18 8080 rd(A,ld(A,B)) = mult(i(rd(B,A)),A). [para(7958(a,1),8(a,1,1))].
% 4.72/5.18 8190 rd(A,mult(A,mult(i(A),B))) = mult(i(mult(A,rd(B,A))),A). [para(3173(a,1),8080(a,2,1,1)),rewrite([2642(3)])].
% 4.72/5.18 8394 rd(A,mult(B,mult(A,A))) = mult(i(mult(A,mult(B,A))),A). [para(4575(a,1),7003(a,1,2)),rewrite([3770(7),17(5),17(5)])].
% 4.72/5.18 8575 rd(mult(i(rd(A,B)),B),ld(B,A)) = mult(mult(B,i(ld(B,A))),i(ld(B,A))). [para(8080(a,1),7662(a,1,1))].
% 4.72/5.18 8635 rd(A,rd(B,i(A))) = mult(i(mult(A,B)),A). [para(7953(a,1),8(a,1,1))].
% 4.72/5.18 8780 i(mult(A,mult(B,i(A)))) = rd(rd(A,B),A). [para(7954(a,1),8(a,1,1)),flip(a)].
% 4.72/5.18 8794 rd(A,mult(i(A),B)) = mult(i(mult(B,i(A))),A). [para(5090(a,1),7954(a,1,1,1,2)),rewrite([17(3),1970(4)]),flip(a)].
% 4.72/5.18 8851 rd(i(A),rd(B,A)) = mult(i(mult(i(A),B)),i(A)). [para(17(a,1),8635(a,1,2,2))].
% 4.72/5.18 8873 i(rd(rd(A,B),A)) = mult(A,mult(B,i(A))). [para(8780(a,1),17(a,1,1))].
% 4.72/5.18 8874 i(mult(i(A),mult(B,A))) = rd(rd(i(A),B),i(A)). [para(17(a,1),8780(a,1,1,2,2))].
% 4.72/5.18 8901 mult(mult(A,mult(B,i(A))),ld(rd(rd(A,B),A),C)) = mult(rd(mult(A,B),rd(A,B)),C). [para(8780(a,1),4449(a,2,2,1)),rewrite([7972(7)]),flip(a)].
% 4.72/5.18 8999 mult(A,mult(ld(B,A),i(A))) = i(rd(B,A)). [para(23(a,1),8873(a,1,1,1)),flip(a)].
% 4.72/5.18 9051 mult(mult(A,B),ld(A,rd(A,B))) = A. [para(8873(a,1),7958(a,1,1,1)),rewrite([5090(4),8(4)])].
% 4.72/5.18 9142 ld(mult(A,B),A) = ld(A,rd(A,B)). [para(9051(a,1),6(a,1,2))].
% 4.72/5.18 9218 mult(A,ld(mult(i(rd(B,A)),A),mult(mult(A,i(ld(A,B))),i(ld(A,B))))) = mult(i(rd(B,A)),A). [para(7958(a,1),9051(a,1,1)),rewrite([8575(8)])].
% 4.72/5.18 9247 mult(i(A),rd(i(mult(A,B)),i(A))) = mult(A,i(mult(mult(B,A),A))). [back_rewrite(5918),rewrite([9142(4),8635(3),3502(4)])].
% 4.72/5.18 9254 mult(i(A),rd(i(rd(B,A)),i(A))) = ld(B,A). [para(5(a,1),9142(a,1,1)),rewrite([8080(3),3502(5)]),flip(a)].
% 4.72/5.18 9279 ld(mult(A,B),B) = mult(i(B),rd(i(A),i(B))). [para(1815(a,1),9142(a,1,1)),rewrite([8794(7),7(6),3502(5)])].
% 4.72/5.18 9282 ld(ld(i(A),B),A) = mult(A,i(mult(B,A))). [para(2498(a,1),9142(a,1,1)),rewrite([8190(7),3502(8),9247(10),7(5)])].
% 4.72/5.18 9291 mult(i(A),rd(i(mult(mult(B,i(A)),i(A))),i(A))) = ld(rd(B,A),A). [para(3653(a,1),9142(a,1,1)),rewrite([8794(7),3502(9)]),flip(a)].
% 4.72/5.18 9294 ld(mult(i(rd(A,B)),B),mult(mult(B,i(ld(B,A))),i(ld(B,A)))) = ld(A,B). [para(7958(a,1),9142(a,1,1)),rewrite([3502(4),9254(6),8575(9)]),flip(a)].
% 4.72/5.18 9322 mult(i(rd(A,B)),B) = mult(B,ld(A,B)). [back_rewrite(9218),rewrite([9294(10)]),flip(a)].
% 4.72/5.18 9393 rd(A,mult(B,ld(A,B))) = mult(rd(A,B),rd(A,B)). [back_rewrite(6145),rewrite([9322(3)])].
% 4.72/5.18 9582 mult(mult(A,mult(i(A),B)),ld(ld(A,B),mult(A,mult(i(A),B)))) = ld(i(A),B). [para(2674(a,1),9322(a,1,1,1)),rewrite([17(2),2498(4)]),flip(a)].
% 4.72/5.18 9590 rd(i(rd(A,i(B))),B) = ld(B,ld(A,i(B))). [para(9322(a,1),3653(a,1,2,2)),rewrite([2676(7)]),flip(a)].
% 4.72/5.18 9674 ld(A,i(rd(B,A))) = mult(ld(B,A),i(A)). [para(8999(a,1),6(a,1,2))].
% 4.72/5.18 9684 rd(ld(A,B),B) = mult(i(B),i(rd(A,B))). [para(8999(a,1),949(a,1,2)),rewrite([3653(10)]),flip(a)].
% 4.72/5.18 9740 ld(A,rd(A,mult(ld(B,A),i(A)))) = ld(i(rd(B,A)),A). [para(8999(a,1),9142(a,1,1)),flip(a)].
% 4.72/5.18 9746 ld(A,rd(A,mult(B,i(A)))) = mult(A,i(B)). [para(7(a,1),9282(a,2,2,1)),rewrite([3678(3),9142(4)])].
% 4.72/5.18 9747 ld(ld(A,B),i(A)) = mult(i(A),i(mult(B,i(A)))). [para(17(a,1),9282(a,1,1,1))].
% 4.72/5.18 9756 mult(i(A),rd(i(mult(B,i(A))),i(A))) = mult(A,rd(rd(i(A),B),i(A))). [para(2277(a,1),9282(a,2,2,1)),rewrite([2675(3),9142(4),8794(3),3502(5),8874(11)])].
% 4.72/5.18 9781 ld(i(rd(A,B)),B) = mult(B,i(ld(A,B))). [back_rewrite(9740),rewrite([9746(5)]),flip(a)].
% 4.72/5.18 9795 ld(rd(A,B),B) = mult(B,i(ld(B,A))). [back_rewrite(9291),rewrite([9756(9),7003(4),17(2),8(6)]),flip(a)].
% 4.72/5.18 9809 mult(rd(A,B),mult(B,i(ld(A,B)))) = ld(i(rd(A,B)),A). [back_rewrite(1482),rewrite([9781(4)])].
% 4.72/5.18 9944 mult(rd(A,B),mult(B,i(ld(B,A)))) = B. [para(9795(a,1),5(a,1,2))].
% 4.72/5.18 9945 rd(A,mult(A,i(ld(A,B)))) = rd(B,A). [para(9795(a,1),23(a,1,2))].
% 4.72/5.18 10002 mult(mult(A,mult(B,i(A))),mult(A,i(B))) = A. [para(6(a,1),9944(a,1,2,2,1)),rewrite([3093(2)])].
% 4.72/5.18 10083 rd(A,mult(A,i(B))) = mult(A,mult(B,i(A))). [para(6(a,1),9945(a,1,2,2,1)),rewrite([3093(5)])].
% 4.72/5.18 10109 rd(mult(A,mult(i(A),B)),rd(B,A)) = rd(rd(B,i(A)),mult(A,mult(i(A),B))). [para(4016(a,1),9945(a,1,2,2,1)),rewrite([3061(8),3818(6),3653(8)])].
% 4.72/5.18 10398 ld(mult(i(A),i(rd(B,A))),ld(B,A)) = A. [para(9684(a,1),19(a,1,1))].
% 4.72/5.18 10438 mult(i(A),i(mult(mult(B,i(A)),i(A)))) = mult(A,mult(i(ld(A,B)),i(A))). [para(7662(a,1),9684(a,2,2,1)),rewrite([9795(2),3093(4)]),flip(a)].
% 4.72/5.18 10446 mult(i(mult(i(A),i(rd(B,A)))),A) = mult(A,ld(ld(B,A),A)). [para(9684(a,1),9322(a,1,1,1))].
% 4.72/5.18 10466 ld(A,rd(A,B)) = mult(A,i(rd(B,i(A)))). [para(7(a,1),9746(a,1,2,2))].
% 4.72/5.18 10553 ld(mult(A,B),A) = mult(A,i(rd(B,i(A)))). [back_rewrite(9142),rewrite([10466(4)])].
% 4.72/5.18 10575 mult(ld(A,B),i(ld(B,ld(A,B)))) = mult(A,mult(i(A),B)). [para(23(a,1),9781(a,1,1,1)),rewrite([2675(3)]),flip(a)].
% 4.72/5.18 10597 rd(A,ld(i(rd(B,A)),B)) = mult(i(rd(B,A)),i(rd(B,A))). [para(9781(a,1),6088(a,1,2,2)),rewrite([17(3),9809(5)])].
% 4.72/5.18 10737 mult(rd(mult(A,B),rd(A,B)),mult(A,i(B))) = mult(A,i(mult(A,i(rd(B,i(A)))))). [para(10002(a,1),1241(a,1,2)),rewrite([8780(4),9795(3),10466(2),8780(13),8901(15)]),flip(a)].
% 4.72/5.18 10738 rd(rd(A,B),A) = mult(A,ld(B,i(A))). [para(10002(a,1),1246(a,1,1)),rewrite([8780(7),8901(9),10737(6),10083(7),3061(6),9590(4),5(4),8780(7)]),flip(a)].
% 4.72/5.18 10964 i(mult(A,ld(B,i(A)))) = mult(A,mult(B,i(A))). [back_rewrite(8873),rewrite([10738(2)])].
% 4.72/5.18 11012 mult(A,mult(A,i(rd(B,i(A))))) = rd(A,B). [para(10738(a,1),7(a,1,1)),rewrite([5090(4),9684(4),17(2)])].
% 4.72/5.18 11039 ld(A,ld(B,A)) = mult(rd(i(A),B),A). [para(10738(a,1),1815(a,1,2,2)),rewrite([17(4),2676(6)])].
% 4.72/5.18 11057 rd(rd(A,i(B)),mult(B,mult(i(B),A))) = mult(rd(A,B),ld(i(B),i(rd(A,B)))). [para(6871(a,1),10738(a,1,1)),rewrite([10109(5)])].
% 4.72/5.18 11078 mult(A,mult(i(A),i(ld(i(A),B)))) = i(mult(A,B)). [para(8635(a,1),10738(a,1,1)),rewrite([8(4),9795(6)]),flip(a)].
% 4.72/5.18 11102 mult(ld(A,B),i(mult(rd(i(B),A),B))) = mult(A,mult(i(A),B)). [back_rewrite(10575),rewrite([11039(3)])].
% 4.72/5.18 11121 rd(mult(A,mult(i(A),B)),rd(B,A)) = mult(rd(B,A),ld(i(A),i(rd(B,A)))). [back_rewrite(10109),rewrite([11057(11)])].
% 4.72/5.18 11296 mult(A,mult(rd(i(A),B),A)) = ld(B,A). [para(11039(a,1),5(a,1,2))].
% 4.72/5.18 11299 rd(ld(A,B),mult(rd(i(B),A),B)) = B. [para(11039(a,1),23(a,1,2))].
% 4.72/5.18 11333 ld(ld(A,B),mult(A,mult(i(A),B))) = mult(rd(i(ld(A,B)),i(A)),ld(A,B)). [para(2675(a,1),11039(a,1,2))].
% 4.72/5.18 11390 mult(mult(A,mult(i(A),B)),mult(rd(i(ld(A,B)),i(A)),ld(A,B))) = ld(i(A),B). [back_rewrite(9582),rewrite([11333(8)])].
% 4.72/5.18 11438 ld(ld(A,i(B)),B) = mult(B,mult(A,B)). [para(23(a,1),11296(a,1,2,1)),flip(a)].
% 4.72/5.18 11451 mult(mult(rd(i(A),B),A),mult(i(mult(rd(i(A),B),A)),A)) = mult(B,mult(i(B),A)). [para(11296(a,1),1750(a,1,1)),rewrite([11102(6)]),flip(a)].
% 4.72/5.18 11457 mult(ld(A,B),i(B)) = mult(B,rd(i(B),A)). [para(11296(a,1),3061(a,1,1)),rewrite([8(7)])].
% 4.72/5.18 11464 mult(rd(i(ld(A,B)),i(A)),ld(A,B)) = i(mult(rd(i(B),A),B)). [para(11296(a,1),1969(a,1,1)),rewrite([11451(10),11333(5)])].
% 4.72/5.18 11565 ld(A,i(rd(B,A))) = mult(A,rd(i(A),B)). [back_rewrite(9674),rewrite([11457(6)])].
% 4.72/5.18 11569 mult(mult(A,mult(i(A),B)),i(mult(rd(i(B),A),B))) = ld(i(A),B). [back_rewrite(11390),rewrite([11464(9)])].
% 4.72/5.18 11683 mult(A,ld(ld(B,A),A)) = ld(i(B),A). [para(11299(a,1),7662(a,1,1)),rewrite([7003(4),10466(4),17(3),10446(6),11102(9),11569(11)])].
% 4.72/5.18 11694 mult(i(mult(A,mult(A,B))),A) = ld(B,i(A)). [para(11438(a,1),23(a,1,2)),rewrite([985(3)])].
% 4.72/5.18 11818 rd(A,mult(A,mult(B,A))) = ld(B,i(A)). [back_rewrite(985),rewrite([11694(7)])].
% 4.72/5.18 11833 ld(i(rd(A,B)),A) = mult(A,ld(B,A)). [para(19(a,1),11683(a,1,2,1)),flip(a)].
% 4.72/5.18 11845 mult(mult(A,mult(B,B)),mult(i(B),mult(mult(A,B),B))) = mult(rd(A,i(B)),ld(i(rd(A,i(B))),B)). [para(4945(a,1),11683(a,1,2,1)),rewrite([4574(5),6105(13)])].
% 4.72/5.18 11875 rd(A,i(ld(B,A))) = mult(A,i(ld(A,B))). [para(9781(a,1),11683(a,1,2,1)),rewrite([10553(4),11012(7),17(6),9795(5)])].
% 4.72/5.18 11895 mult(i(rd(A,B)),i(rd(A,B))) = mult(rd(B,A),rd(B,A)). [back_rewrite(10597),rewrite([11833(3),9393(3)]),flip(a)].
% 4.72/5.19 11999 mult(A,mult(ld(A,B),ld(A,B))) = mult(B,i(ld(B,A))). [back_rewrite(4799),rewrite([11875(7)])].
% 4.72/5.19 12143 rd(i(A),ld(A,B)) = mult(i(A),rd(i(B),i(A))). [para(1750(a,1),11818(a,1,2,2)),rewrite([949(6),2676(6),17(6),9279(5)])].
% 4.72/5.19 12144 mult(i(mult(A,B)),A) = mult(i(A),i(mult(B,i(A)))). [para(2277(a,1),11818(a,1,2,2)),rewrite([3941(4),8635(3),9747(6)])].
% 4.72/5.19 12145 mult(i(ld(A,B)),i(A)) = mult(A,i(rd(B,i(A)))). [para(3061(a,1),11818(a,1,2,2)),rewrite([949(5),1970(5),7003(4),17(2),17(7),10553(6)])].
% 4.72/5.19 12359 rd(i(A),rd(B,A)) = mult(A,i(mult(B,A))). [back_rewrite(8851),rewrite([12144(8),17(5),17(5)])].
% 4.72/5.19 12378 rd(A,rd(B,i(A))) = mult(i(A),i(mult(B,i(A)))). [back_rewrite(8635),rewrite([12144(6)])].
% 4.72/5.19 12384 rd(A,mult(B,mult(A,A))) = mult(i(A),i(mult(A,mult(i(A),B)))). [back_rewrite(8394),rewrite([12144(7),1750(7)])].
% 4.72/5.19 12392 mult(mult(i(A),i(mult(A,mult(i(A),B)))),mult(B,mult(A,A))) = A. [back_rewrite(6835),rewrite([12144(4),1750(4)])].
% 4.72/5.19 12415 mult(i(A),i(mult(mult(B,i(A)),i(A)))) = rd(A,B). [back_rewrite(10438),rewrite([12145(11),11012(12)])].
% 4.72/5.19 13203 ld(mult(A,i(mult(B,A))),i(A)) = rd(B,A). [para(4527(a,1),10398(a,1,2)),rewrite([11121(7),10964(9),949(9),3653(9),12359(3)])].
% 4.72/5.19 13217 ld(rd(A,B),mult(A,i(ld(A,B)))) = A. [para(7662(a,1),10398(a,1,1,2,1)),rewrite([12415(7),9795(3)])].
% 4.72/5.19 13251 mult(rd(A,B),A) = mult(A,i(ld(A,B))). [para(13217(a,1),5(a,1,2))].
% 4.72/5.19 13445 mult(i(A),i(mult(A,mult(i(A),B)))) = ld(A,i(B)). [para(2675(a,1),13251(a,2,2,1)),rewrite([12143(3),5090(7),17(6),6898(5),949(6),2676(6)]),flip(a)].
% 4.72/5.19 13590 mult(ld(A,i(B)),mult(B,mult(A,A))) = A. [back_rewrite(12392),rewrite([13445(6)])].
% 4.72/5.19 13591 rd(A,mult(B,mult(A,A))) = ld(A,i(B)). [back_rewrite(12384),rewrite([13445(9)])].
% 4.72/5.19 14688 mult(A,mult(B,mult(rd(i(B),A),rd(i(B),A)))) = rd(i(B),A). [para(19(a,1),13590(a,1,1))].
% 4.72/5.19 14715 rd(A,mult(i(ld(A,i(B))),mult(B,mult(A,A)))) = mult(ld(A,i(B)),ld(A,i(B))). [para(13590(a,1),4698(a,1,1))].
% 4.72/5.19 14907 mult(i(A),i(mult(B,i(A)))) = mult(A,rd(i(A),B)). [para(4798(a,1),13591(a,1,2)),rewrite([12378(3),11565(8)])].
% 4.72/5.19 14925 mult(i(ld(A,i(B))),mult(B,mult(A,A))) = mult(rd(B,i(A)),ld(i(rd(B,i(A))),A)). [para(13591(a,1),9322(a,1,1,1)),rewrite([4574(11),11845(13)])].
% 4.72/5.19 15054 mult(i(mult(A,B)),A) = mult(A,rd(i(A),B)). [back_rewrite(12144),rewrite([14907(8)])].
% 4.72/5.19 15067 mult(rd(i(A),B),rd(i(A),B)) = mult(ld(A,i(B)),ld(A,i(B))). [back_rewrite(14715),rewrite([14925(6),4608(8),11895(7)])].
% 4.72/5.19 15078 i(mult(A,B)) = rd(i(B),A). [back_rewrite(14688),rewrite([15067(5),11999(6),11078(6)])].
% 4.72/5.19 15082 mult(A,rd(i(A),B)) = i(B). [back_rewrite(15054),rewrite([15078(2),7(3)]),flip(a)].
% 4.72/5.19 15572 rd(A,B) = ld(i(A),i(B)). [back_rewrite(13203),rewrite([15078(2),15082(3)]),flip(a)].
% 4.72/5.19 16735 $F # answer(goals). [back_rewrite(12),rewrite([15078(5),15572(5),17(4),5(6)]),xx(a)].
% 4.72/5.19
% 4.72/5.19 % SZS output end Refutation
% 4.72/5.19 ============================== end of proof ==========================
% 4.72/5.19
% 4.72/5.19 ============================== STATISTICS ============================
% 4.72/5.19
% 4.72/5.19 Given=285. Generated=41439. Kept=16733. proofs=1.
% 4.72/5.19 Usable=148. Sos=4045. Demods=5847. Limbo=1657, Disabled=10894. Hints=0.
% 4.72/5.19 Megabytes=28.76.
% 4.72/5.19 User_CPU=4.15, System_CPU=0.04, Wall_clock=4.
% 4.72/5.19
% 4.72/5.19 ============================== end of statistics =====================
% 4.72/5.19
% 4.72/5.19 ============================== end of search =========================
% 4.72/5.19
% 4.72/5.19 THEOREM PROVED
% 4.72/5.19 % SZS status Unsatisfiable
% 4.72/5.19
% 4.72/5.19 Exiting with 1 proof.
% 4.72/5.19
% 4.72/5.19 Process 32715 exit (max_proofs) Mon Jun 13 19:27:28 2022
% 4.72/5.19 Prover9 interrupted
%------------------------------------------------------------------------------