0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : tptp2X_and_run_prover9 %d %s 0.02/0.23 % Computer : n062.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:54:09 CDT 2018 0.02/0.24 % CPUTime : 2.96/3.17 ============================== Prover9 =============================== 2.96/3.17 Prover9 (32) version 2009-11A, November 2009. 2.96/3.17 Process 6673 was started by sandbox on n062.star.cs.uiowa.edu, 2.96/3.17 Sat Jul 14 04:54:10 2018 2.96/3.17 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_6641_n062.star.cs.uiowa.edu". 2.96/3.17 ============================== end of head =========================== 2.96/3.17 2.96/3.17 ============================== INPUT ================================= 2.96/3.17 2.96/3.17 % Reading from file /tmp/Prover9_6641_n062.star.cs.uiowa.edu 2.96/3.17 2.96/3.17 set(prolog_style_variables). 2.96/3.17 set(auto2). 2.96/3.17 % set(auto2) -> set(auto). 2.96/3.17 % set(auto) -> set(auto_inference). 2.96/3.17 % set(auto) -> set(auto_setup). 2.96/3.17 % set(auto_setup) -> set(predicate_elim). 2.96/3.17 % set(auto_setup) -> assign(eq_defs, unfold). 2.96/3.17 % set(auto) -> set(auto_limits). 2.96/3.17 % set(auto_limits) -> assign(max_weight, "100.000"). 2.96/3.17 % set(auto_limits) -> assign(sos_limit, 20000). 2.96/3.17 % set(auto) -> set(auto_denials). 2.96/3.17 % set(auto) -> set(auto_process). 2.96/3.17 % set(auto2) -> assign(new_constants, 1). 2.96/3.17 % set(auto2) -> assign(fold_denial_max, 3). 2.96/3.17 % set(auto2) -> assign(max_weight, "200.000"). 2.96/3.17 % set(auto2) -> assign(max_hours, 1). 2.96/3.17 % assign(max_hours, 1) -> assign(max_seconds, 3600). 2.96/3.17 % set(auto2) -> assign(max_seconds, 0). 2.96/3.17 % set(auto2) -> assign(max_minutes, 5). 2.96/3.17 % assign(max_minutes, 5) -> assign(max_seconds, 300). 2.96/3.17 % set(auto2) -> set(sort_initial_sos). 2.96/3.17 % set(auto2) -> assign(sos_limit, -1). 2.96/3.17 % set(auto2) -> assign(lrs_ticks, 3000). 2.96/3.17 % set(auto2) -> assign(max_megs, 400). 2.96/3.17 % set(auto2) -> assign(stats, some). 2.96/3.17 % set(auto2) -> clear(echo_input). 2.96/3.17 % set(auto2) -> set(quiet). 2.96/3.17 % set(auto2) -> clear(print_initial_clauses). 2.96/3.17 % set(auto2) -> clear(print_given). 2.96/3.17 assign(lrs_ticks,-1). 2.96/3.17 assign(sos_limit,10000). 2.96/3.17 assign(order,kbo). 2.96/3.17 set(lex_order_vars). 2.96/3.17 clear(print_given). 2.96/3.17 2.96/3.17 % formulas(sos). % not echoed (9 formulas) 2.96/3.17 2.96/3.17 ============================== end of input ========================== 2.96/3.17 2.96/3.17 % From the command line: assign(max_seconds, 300). 2.96/3.17 2.96/3.17 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 2.96/3.17 2.96/3.17 % Formulas that are not ordinary clauses: 2.96/3.17 1 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 2.96/3.17 2 (all B all A A = rd(mult(A,B),B)) # label(f04) # label(axiom) # label(non_clause). [assumption]. 2.96/3.17 3 (all X0 all X1 all X2 (mult(mult(X0,X1),X2) = mult(mult(X0,X2),X1) & mult(X0,mult(X1,X2)) = mult(X0,mult(X2,X1)) | mult(X0,mult(X2,X1)) = mult(mult(X0,X2),X1) & mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2)))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 2.96/3.17 4 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 2.96/3.17 5 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 2.96/3.17 6 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 2.96/3.17 7 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause). [assumption]. 2.96/3.17 8 (all C all B all A mult(A,mult(mult(B,C),B)) = mult(mult(mult(A,B),C),B)) # label(f07) # label(axiom) # label(non_clause). [assumption]. 2.96/3.17 2.96/3.17 ============================== end of process non-clausal formulas === 2.96/3.17 2.96/3.17 ============================== PROCESS INITIAL CLAUSES =============== 2.96/3.17 2.96/3.17 ============================== PREDICATE ELIMINATION ================= 2.96/3.17 2.96/3.17 ============================== end predicate elimination ============= 2.96/3.17 2.96/3.17 Auto_denials: (non-Horn, no changes). 2.96/3.17 2.96/3.17 Term ordering decisions: 2.96/3.17 Function symbol KB weights: unit=1. a=1. b=1. c=1. mult=1. ld=1. rd=1. 2.96/3.17 2.96/3.17 ============================== end of process initial clauses ======== 2.96/3.17 2.96/3.17 ============================== CLAUSES FOR SEARCH ==================== 2.96/3.17 2.96/3.17 ============================== end of clauses for search ============= 2.96/3.17 2.96/3.17 ============================== SEARCH ================================ 2.96/3.17 2.96/3.17 % Starting search at 0.01 seconds. 2.96/3.17 2.96/3.17 Low Water (keep): wt=90.000, iters=3490 2.96/3.17 2.96/3.17 Low Water (keep): wt=74.000, iters=3363 2.96/3.17 2.96/3.17 Low Water (keep): wt=62.000, iters=3345 2.96/3.17 2.96/3.17 Low Water (keep): wt=61.000, iters=3345 2.96/3.17 2.96/3.17 Low Water (keep): wt=58.000, iters=3361 87.96/88.17 87.96/88.17 Low Water (keep): wt=57.000, iters=3444 87.96/88.17 87.96/88.17 Low Water (keep): wt=54.000, iters=3359 87.96/88.17 87.96/88.17 Low Water (keep): wt=53.000, iters=3451 87.96/88.17 87.96/88.17 Low Water (keep): wt=52.000, iters=3353 87.96/88.17 87.96/88.17 Low Water (keep): wt=51.000, iters=3340 87.96/88.17 87.96/88.17 Low Water (keep): wt=50.000, iters=3388 87.96/88.17 87.96/88.17 Low Water (keep): wt=49.000, iters=3346 87.96/88.17 87.96/88.17 Low Water (keep): wt=46.000, iters=3425 87.96/88.17 87.96/88.17 Low Water (keep): wt=45.000, iters=3355 87.96/88.17 87.96/88.17 Low Water (keep): wt=44.000, iters=3385 87.96/88.17 87.96/88.17 Low Water (keep): wt=42.000, iters=3411 87.96/88.17 87.96/88.17 Low Water (keep): wt=41.000, iters=3567 87.96/88.17 87.96/88.17 Low Water (displace): id=6525, wt=105.000 87.96/88.17 87.96/88.17 Low Water (displace): id=6441, wt=101.000 87.96/88.17 87.96/88.17 Low Water (displace): id=4897, wt=98.000 87.96/88.17 87.96/88.17 Low Water (displace): id=5763, wt=94.000 87.96/88.17 87.96/88.17 Low Water (displace): id=6554, wt=93.000 87.96/88.17 87.96/88.17 Low Water (displace): id=6144, wt=90.000 87.96/88.17 87.96/88.17 Low Water (displace): id=6483, wt=89.000 87.96/88.17 87.96/88.17 Low Water (keep): wt=38.000, iters=3343 87.96/88.17 87.96/88.17 Low Water (displace): id=4896, wt=86.000 87.96/88.17 87.96/88.17 Low Water (displace): id=6503, wt=85.000 87.96/88.17 87.96/88.17 Low Water (displace): id=6193, wt=82.000 87.96/88.17 87.96/88.17 Low Water (displace): id=6555, wt=81.000 87.96/88.17 87.96/88.17 Low Water (displace): id=6173, wt=78.000 87.96/88.17 87.96/88.17 Low Water (displace): id=12659, wt=35.000 87.96/88.17 87.96/88.17 Low Water (displace): id=12660, wt=34.000 87.96/88.17 87.96/88.17 Low Water (displace): id=12933, wt=23.000 87.96/88.17 87.96/88.17 Low Water (keep): wt=37.000, iters=3390 87.96/88.17 87.96/88.17 Low Water (keep): wt=36.000, iters=3366 87.96/88.17 87.96/88.17 Low Water (keep): wt=35.000, iters=3373 87.96/88.17 87.96/88.17 Low Water (keep): wt=34.000, iters=3346 87.96/88.17 87.96/88.17 Low Water (displace): id=15648, wt=21.000 87.96/88.17 87.96/88.17 Low Water (displace): id=15653, wt=19.000 87.96/88.17 87.96/88.17 Low Water (keep): wt=33.000, iters=3359 87.96/88.17 87.96/88.17 Low Water (keep): wt=32.000, iters=3370 87.96/88.17 87.96/88.17 Low Water (displace): id=16752, wt=15.000 87.96/88.17 87.96/88.17 Low Water (keep): wt=31.000, iters=3368 87.96/88.17 87.96/88.17 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 76 (0.00 of 10.28 sec). 87.96/88.17 87.96/88.17 Low Water (keep): wt=30.000, iters=3334 87.96/88.17 87.96/88.17 Low Water (keep): wt=29.000, iters=3348 87.96/88.17 87.96/88.17 Low Water (keep): wt=27.000, iters=3341 87.96/88.17 87.96/88.17 Low Water (keep): wt=26.000, iters=3350 87.96/88.17 87.96/88.17 Low Water (keep): wt=25.000, iters=3348 87.96/88.17 87.96/88.17 Low Water (keep): wt=24.000, iters=3340 87.96/88.17 87.96/88.17 Low Water (keep): wt=23.000, iters=3333 87.96/88.17 87.96/88.17 Low Water (keep): wt=22.000, iters=3337 87.96/88.17 87.96/88.17 Low Water (keep): wt=21.000, iters=3336 87.96/88.17 87.96/88.17 ============================== PROOF ================================= 87.96/88.17 % SZS status Theorem 87.96/88.17 % SZS output start Refutation 87.96/88.17 87.96/88.17 % Proof 1 at 86.21 (+ 1.52) seconds. 87.96/88.17 % Length of proof is 637. 87.96/88.17 % Level of proof is 39. 87.96/88.17 % Maximum clause weight is 30.000. 87.96/88.17 % Given clauses 2765. 87.96/88.17 87.96/88.17 1 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 87.96/88.17 2 (all B all A A = rd(mult(A,B),B)) # label(f04) # label(axiom) # label(non_clause). [assumption]. 87.96/88.17 3 (all X0 all X1 all X2 (mult(mult(X0,X1),X2) = mult(mult(X0,X2),X1) & mult(X0,mult(X1,X2)) = mult(X0,mult(X2,X1)) | mult(X0,mult(X2,X1)) = mult(mult(X0,X2),X1) & mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2)))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 87.96/88.17 4 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 87.96/88.17 5 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 87.96/88.17 6 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 87.96/88.17 7 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause). [assumption]. 87.96/88.17 8 (all C all B all A mult(A,mult(mult(B,C),B)) = mult(mult(mult(A,B),C),B)) # label(f07) # label(axiom) # label(non_clause). [assumption]. 87.96/88.17 9 mult(A,unit) = A # label(f05) # label(axiom). [clausify(1)]. 87.96/88.17 10 mult(unit,A) = A # label(f06) # label(axiom). [clausify(6)]. 87.96/88.17 11 rd(mult(A,B),B) = A # label(f04) # label(axiom). [clausify(2)]. 87.96/88.17 12 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(4)]. 87.96/88.17 13 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(5)]. 87.96/88.17 14 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(7)]. 87.96/88.17 15 mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)) # label(f07) # label(axiom). [clausify(8)]. 87.96/88.17 16 mult(mult(A,B),C) = mult(mult(A,C),B) | mult(mult(A,B),C) = mult(A,mult(B,C)) # label(f08) # label(axiom). [clausify(3)]. 87.96/88.17 18 mult(A,mult(B,C)) = mult(A,mult(C,B)) | mult(mult(A,B),C) = mult(A,mult(B,C)) # label(f08) # label(axiom). [clausify(3)]. 87.96/88.17 19 mult(A,mult(B,C)) = mult(A,mult(C,B)) | mult(mult(A,C),B) = mult(A,mult(C,B)) # label(f08) # label(axiom). [clausify(3)]. 87.96/88.17 20 mult(a,mult(b,c)) != mult(mult(a,b),c) # label(goals) # label(negated_conjecture). [assumption]. 87.96/88.17 21 mult(mult(a,b),c) != mult(a,mult(b,c)). [copy(20),flip(a)]. 87.96/88.17 22 rd(A,unit) = A. [para(9(a,1),11(a,1,1))]. 87.96/88.17 23 rd(A,A) = unit. [para(10(a,1),11(a,1,1))]. 87.96/88.17 24 ld(unit,A) = A. [para(12(a,1),10(a,1)),flip(a)]. 87.96/88.17 25 rd(A,ld(B,A)) = B. [para(12(a,1),11(a,1,1))]. 87.96/88.17 26 ld(A,A) = unit. [para(9(a,1),14(a,1,2))]. 87.96/88.17 27 ld(rd(A,B),A) = B. [para(13(a,1),14(a,1,2))]. 87.96/88.17 28 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(9(a,1),15(a,1,1)),rewrite([9(4)])]. 87.96/88.17 29 rd(mult(A,mult(mult(B,C),B)),B) = mult(mult(A,B),C). [para(15(a,1),11(a,1,1))]. 87.96/88.17 30 mult(A,mult(mult(ld(A,B),C),ld(A,B))) = mult(mult(B,C),ld(A,B)). [para(12(a,1),15(a,1,1,1)),flip(a)]. 87.96/88.17 31 mult(A,mult(mult(B,ld(mult(A,B),C)),B)) = mult(C,B). [para(12(a,1),15(a,1,1)),flip(a)]. 87.96/88.17 32 mult(rd(A,B),mult(mult(B,C),B)) = mult(mult(A,C),B). [para(13(a,1),15(a,1,1,1)),flip(a)]. 87.96/88.17 33 ld(mult(mult(A,B),C),mult(A,mult(mult(B,C),B))) = B. [para(15(a,1),14(a,1,2))]. 87.96/88.17 34 mult(mult(mult(A,mult(mult(B,C),B)),D),B) = mult(mult(mult(A,B),C),mult(mult(B,D),B)). [para(15(a,1),15(a,1,1,1))]. 87.96/88.17 35 mult(mult(A,mult(mult(B,C),B)),C) = mult(mult(A,B),mult(mult(C,B),C)). [para(15(a,1),15(a,1,1))]. 87.96/88.17 41 mult(mult(A,B),ld(A,C)) = mult(C,B) | mult(A,mult(ld(A,C),B)) = mult(C,B). [para(12(a,1),16(a,1,1)),rewrite([12(7)]),flip(a),flip(b)]. 87.96/88.17 42 mult(mult(A,B),ld(A,C)) = mult(C,B) | mult(mult(A,B),ld(A,C)) = mult(A,mult(B,ld(A,C))). [para(12(a,1),16(a,2,1))]. 87.96/88.17 49 mult(mult(A,B),mult(C,B)) = mult(A,mult(mult(B,C),B)) | mult(mult(A,mult(B,B)),C) = mult(A,mult(mult(B,C),B)). [para(16(a,1),15(a,1)),rewrite([15(3),28(9)]),flip(a)]. 87.96/88.17 65 mult(A,mult(ld(A,B),C)) = mult(A,mult(C,ld(A,B))) | mult(A,mult(ld(A,B),C)) = mult(B,C). [para(12(a,1),18(b,1,1)),flip(b)]. 87.96/88.17 67 mult(rd(A,B),mult(C,B)) = mult(rd(A,B),mult(B,C)) | mult(rd(A,B),mult(B,C)) = mult(A,C). [para(13(a,1),18(b,1,1)),flip(a),flip(b)]. 87.96/88.17 106 mult(a,mult(c,b)) = mult(a,mult(b,c)). [resolve(21,a,19,b)]. 87.96/88.17 107 mult(mult(a,c),b) != mult(a,mult(b,c)). [para(16(a,1),21(a,1)),unit_del(a,21)]. 87.96/88.17 109 mult(A,mult(ld(A,B),ld(A,B))) = mult(B,ld(A,B)). [para(12(a,1),28(a,1,1)),flip(a)]. 87.96/88.17 110 mult(rd(A,B),mult(B,B)) = mult(A,B). [para(13(a,1),28(a,1,1)),flip(a)]. 87.96/88.17 111 ld(mult(A,B),mult(A,mult(B,B))) = B. [para(28(a,1),14(a,1,2))]. 87.96/88.17 113 mult(mult(A,mult(B,B)),B) = mult(A,mult(B,mult(B,B))). [para(28(a,1),15(a,1,1)),rewrite([28(5)])]. 87.96/88.17 114 mult(mult(A,B),mult(B,B)) = mult(A,mult(B,mult(B,B))). [para(28(a,1),15(a,1)),rewrite([28(5)])]. 87.96/88.17 119 mult(A,mult(B,mult(C,C))) = mult(A,mult(C,mult(B,C))) | mult(mult(A,mult(B,C)),C) = mult(A,mult(B,mult(C,C))). [para(28(a,1),18(b,2,2)),rewrite([28(2)])]. 87.96/88.17 126 mult(c,b) = mult(b,c). [para(106(a,1),14(a,1,2)),rewrite([14(7)]),flip(a)]. 87.96/88.17 127 rd(mult(b,c),b) = c. [para(126(a,1),11(a,1,1))]. 87.96/88.17 129 mult(mult(mult(b,c),A),b) = mult(c,mult(mult(b,A),b)). [para(126(a,1),15(a,1,1,1))]. 87.96/88.17 131 mult(mult(c,A),b) = mult(mult(b,c),A) | mult(mult(c,A),b) = mult(c,mult(A,b)). [para(126(a,1),16(a,2,1))]. 87.96/88.17 133 mult(mult(b,c),b) = mult(c,mult(b,b)). [para(126(a,1),28(a,1,1))]. 87.96/88.17 134 rd(mult(A,mult(B,C)),C) = mult(mult(A,C),ld(C,B)). [para(12(a,1),29(a,1,1,2,1))]. 87.96/88.17 156 rd(mult(A,B),mult(B,B)) = rd(A,B). [para(110(a,1),11(a,1,1))]. 87.96/88.17 157 ld(rd(A,B),mult(A,B)) = mult(B,B). [para(110(a,1),14(a,1,2))]. 87.96/88.17 166 mult(rd(A,B),mult(B,mult(B,mult(B,B)))) = mult(A,mult(B,mult(B,B))). [para(110(a,1),28(a,1,1)),rewrite([114(3),114(7)]),flip(a)]. 87.96/88.17 184 ld(mult(A,B),mult(A,mult(B,mult(B,B)))) = mult(B,B). [para(110(a,1),111(a,1,1)),rewrite([114(5),166(6)])]. 87.96/88.17 185 mult(mult(c,mult(b,b)),c) = mult(b,mult(b,mult(c,c))). [para(133(a,1),15(a,1,1)),rewrite([126(11),28(13)])]. 87.96/88.17 189 mult(mult(b,b),c) = mult(c,mult(b,b)) | mult(mult(b,b),c) = mult(b,mult(b,c)). [para(133(a,1),16(a,2))]. 87.96/88.17 212 rd(A,mult(A,A)) = rd(unit,A). [para(10(a,1),156(a,1,1))]. 87.96/88.17 214 rd(rd(A,B),B) = rd(A,mult(B,B)). [para(13(a,1),156(a,1,1)),flip(a)]. 87.96/88.17 223 rd(mult(b,c),mult(b,b)) = rd(c,b). [para(126(a,1),156(a,1,1))]. 87.96/88.17 230 ld(rd(unit,A),A) = mult(A,A). [para(212(a,1),27(a,1,1))]. 87.96/88.17 234 mult(ld(A,unit),ld(A,unit)) = ld(A,ld(A,unit)). [para(25(a,1),230(a,1,1)),flip(a)]. 87.96/88.17 241 ld(A,mult(B,ld(A,B))) = mult(ld(A,B),ld(A,B)). [para(25(a,1),157(a,1,1))]. 87.96/88.17 248 mult(mult(A,ld(mult(B,A),C)),A) = ld(B,mult(C,A)). [para(31(a,1),14(a,1,2)),flip(a)]. 87.96/88.17 271 ld(rd(A,mult(B,B)),rd(A,B)) = B. [para(214(a,1),27(a,1,1))]. 87.96/88.17 272 rd(A,mult(A,mult(A,mult(A,A)))) = rd(rd(unit,A),mult(A,A)). [para(212(a,1),214(a,1,1)),rewrite([114(7)]),flip(a)]. 87.96/88.17 273 rd(rd(A,mult(B,B)),B) = rd(rd(A,B),mult(B,B)). [para(214(a,1),214(a,1,1))]. 87.96/88.17 275 rd(mult(mult(A,B),C),mult(mult(C,B),C)) = rd(A,C). [para(32(a,1),11(a,1,1))]. 87.96/88.17 276 mult(mult(A,ld(B,C)),B) = mult(rd(A,B),mult(C,B)). [para(12(a,1),32(a,1,2,1)),flip(a)]. 87.96/88.17 296 mult(rd(A,c),mult(b,mult(c,c))) = mult(mult(A,b),c). [para(126(a,1),32(a,1,2,1)),rewrite([28(7)])]. 87.96/88.17 299 mult(rd(A,b),mult(c,mult(b,b))) = mult(mult(A,c),b). [para(133(a,1),32(a,1,2))]. 87.96/88.17 543 mult(mult(b,mult(c,c)),b) = mult(c,mult(c,mult(b,b))). [para(28(a,1),129(a,1,1)),rewrite([133(13)])]. 87.96/88.17 554 mult(mult(A,B),ld(B,unit)) = A. [para(10(a,1),134(a,1,1,2)),rewrite([11(2)]),flip(a)]. 87.96/88.17 556 mult(mult(A,B),ld(B,rd(C,B))) = rd(mult(A,C),B). [para(13(a,1),134(a,1,1,2)),flip(a)]. 87.96/88.17 572 rd(mult(A,mult(b,c)),b) = mult(mult(A,b),ld(b,c)). [para(126(a,1),134(a,1,1,2))]. 87.96/88.17 573 mult(mult(mult(A,B),ld(B,C)),mult(B,B)) = mult(mult(A,mult(C,B)),B). [para(134(a,1),110(a,1,1))]. 87.96/88.17 591 rd(A,ld(B,unit)) = mult(A,B). [para(554(a,1),11(a,1,1))]. 87.96/88.17 593 mult(A,ld(B,unit)) = rd(A,B). [para(13(a,1),554(a,1,1))]. 87.96/88.17 594 ld(mult(A,B),A) = ld(B,unit). [para(554(a,1),14(a,1,2))]. 87.96/88.17 602 mult(mult(A,B),rd(ld(B,unit),B)) = rd(A,B). [para(554(a,1),28(a,1,1)),rewrite([593(3),593(7)]),flip(a)]. 87.96/88.17 604 ld(A,rd(A,B)) = ld(B,unit). [para(554(a,1),111(a,1,1)),rewrite([593(6),602(5)])]. 87.96/88.17 607 rd(ld(A,unit),A) = ld(mult(A,A),unit). [para(554(a,1),157(a,1,2)),rewrite([591(4),28(2),594(3),593(8)]),flip(a)]. 87.96/88.17 613 mult(A,rd(mult(ld(B,unit),C),B)) = rd(mult(rd(A,B),C),B). [para(554(a,1),34(a,1,1,1,2)),rewrite([593(3),593(5),593(6),13(5),593(9)]),flip(a)]. 87.96/88.17 616 mult(c,mult(rd(b,c),b)) = mult(b,b). [para(554(a,1),129(a,1,1)),rewrite([593(9)]),flip(a)]. 87.96/88.17 635 ld(mult(A,A),unit) = ld(A,ld(A,unit)). [back_rewrite(234),rewrite([593(5),607(3)])]. 87.96/88.17 644 rd(ld(A,unit),A) = ld(A,ld(A,unit)). [back_rewrite(607),rewrite([635(6)])]. 87.96/88.17 716 mult(ld(A,unit),A) = unit. [para(591(a,1),23(a,1))]. 87.96/88.17 719 mult(rd(A,B),ld(ld(B,unit),C)) = mult(mult(A,rd(C,B)),B). [para(591(a,1),134(a,1)),rewrite([593(3),593(6)]),flip(a)]. 87.96/88.17 720 rd(unit,A) = ld(A,unit). [para(716(a,1),11(a,1,1))]. 87.96/88.17 722 mult(ld(A,unit),mult(mult(A,B),A)) = mult(B,A). [para(716(a,1),15(a,1,1,1)),rewrite([10(2)]),flip(a)]. 87.96/88.17 731 mult(ld(A,ld(A,unit)),mult(A,mult(A,A))) = A. [para(716(a,1),113(a,1,1)),rewrite([10(2),635(3)]),flip(a)]. 87.96/88.17 736 rd(A,mult(A,mult(A,mult(A,A)))) = rd(ld(A,unit),mult(A,A)). [back_rewrite(272),rewrite([720(6)])]. 87.96/88.17 738 ld(ld(A,unit),A) = mult(A,A). [back_rewrite(230),rewrite([720(2)])]. 87.96/88.17 798 mult(rd(mult(A,B),C),B) = mult(A,mult(rd(B,C),B)). [para(593(a,1),15(a,1,1)),rewrite([593(6)])]. 87.96/88.17 803 mult(A,ld(B,ld(B,unit))) = rd(A,mult(B,B)). [para(593(a,1),28(a,1,1)),rewrite([593(4),214(2),593(7),644(5)]),flip(a)]. 87.96/88.17 804 ld(rd(A,B),rd(A,mult(B,B))) = ld(B,unit). [para(593(a,1),111(a,1,1)),rewrite([593(6),644(4),803(5)])]. 87.96/88.17 805 mult(A,mult(rd(ld(A,B),C),ld(A,B))) = mult(rd(B,C),ld(A,B)). [para(593(a,1),30(a,1,2,1)),rewrite([593(8)])]. 87.96/88.17 806 mult(rd(A,B),mult(rd(B,C),B)) = mult(rd(A,C),B). [para(593(a,1),32(a,1,2,1)),rewrite([593(7)])]. 87.96/88.17 808 mult(A,rd(ld(B,unit),mult(B,B))) = rd(rd(A,B),mult(B,B)). [para(593(a,1),113(a,1,1,2)),rewrite([644(3),803(4),593(5),273(3),593(10),644(8),803(9)]),flip(a)]. 87.96/88.17 811 mult(rd(mult(b,c),A),b) = mult(c,mult(rd(b,A),b)). [para(593(a,1),129(a,1,1)),rewrite([593(11)])]. 87.96/88.17 816 ld(ld(A,B),unit) = ld(B,A). [para(12(a,1),594(a,1,1)),flip(a)]. 87.96/88.17 822 ld(mult(b,c),c) = ld(b,unit). [para(126(a,1),594(a,1,1))]. 87.96/88.17 826 ld(mult(A,ld(B,A)),B) = ld(ld(B,A),ld(A,B)). [para(109(a,1),594(a,1,1)),rewrite([635(8),816(7)])]. 87.96/88.17 832 ld(mult(b,c),rd(c,b)) = ld(b,ld(b,unit)). [para(223(a,1),604(a,1,2)),rewrite([635(12)])]. 87.96/88.17 906 mult(ld(A,B),ld(B,A)) = unit. [para(816(a,1),12(a,1,2))]. 87.96/88.17 910 mult(mult(A,ld(B,C)),ld(C,B)) = A. [para(816(a,1),134(a,2,2)),rewrite([10(3),11(4)]),flip(a)]. 87.96/88.17 911 rd(A,ld(B,C)) = mult(A,ld(C,B)). [para(816(a,1),591(a,1,2))]. 87.96/88.17 912 ld(ld(A,B),ld(B,A)) = mult(ld(B,A),ld(B,A)). [para(816(a,1),738(a,1,1))]. 87.96/88.17 917 ld(mult(A,ld(B,A)),B) = mult(ld(A,B),ld(A,B)). [back_rewrite(826),rewrite([912(6)])]. 87.96/88.17 1021 ld(c,mult(b,b)) = mult(rd(b,c),b). [para(616(a,1),14(a,1,2))]. 87.96/88.17 1186 rd(mult(A,B),A) = B | mult(A,mult(ld(A,unit),B)) = B. [para(10(a,1),41(a,2)),rewrite([593(4),10(9)])]. 87.96/88.17 1457 rd(mult(A,B),mult(mult(B,A),B)) = ld(B,unit). [para(722(a,1),11(a,1,1))]. 87.96/88.17 1458 mult(ld(A,unit),mult(B,A)) = mult(ld(A,B),A). [para(12(a,1),722(a,1,2,1))]. 87.96/88.17 1459 ld(ld(A,unit),mult(B,A)) = mult(mult(A,B),A). [para(722(a,1),14(a,1,2))]. 87.96/88.17 1487 ld(mult(mult(A,B),A),unit) = ld(mult(B,A),ld(A,unit)). [para(722(a,1),594(a,1,1)),flip(a)]. 87.96/88.17 1521 ld(ld(A,ld(A,unit)),A) = mult(A,mult(A,A)). [para(731(a,1),14(a,1,2))]. 87.96/88.17 1540 ld(mult(A,mult(A,A)),unit) = ld(A,ld(A,ld(A,unit))). [para(731(a,1),594(a,1,1)),flip(a)]. 87.96/88.17 1844 rd(mult(ld(A,B),A),mult(B,A)) = ld(A,unit). [para(12(a,1),1457(a,1,2,1))]. 87.96/88.17 1863 rd(mult(b,c),mult(c,mult(b,b))) = ld(b,unit). [para(126(a,1),1457(a,1,1)),rewrite([133(8)])]. 87.96/88.17 1864 rd(mult(b,c),mult(b,mult(c,c))) = ld(c,unit). [para(126(a,1),1457(a,1,2,1)),rewrite([28(8)])]. 87.96/88.17 1906 rd(ld(A,unit),mult(A,A)) = ld(A,ld(A,ld(A,unit))). [para(731(a,1),1457(a,1,1)),rewrite([803(6),11(4),736(4),1540(8)])]. 87.96/88.17 1934 mult(A,ld(B,ld(B,ld(B,unit)))) = rd(rd(A,B),mult(B,B)). [back_rewrite(808),rewrite([1906(4)])]. 87.96/88.17 2032 mult(ld(A,rd(B,A)),A) = mult(ld(A,unit),B). [para(13(a,1),1458(a,1,2)),flip(a)]. 87.96/88.17 2044 rd(ld(ld(A,unit),B),A) = mult(A,rd(B,A)). [para(27(a,1),1458(a,1,1)),rewrite([720(2),593(3),720(4),720(7),593(8)]),flip(a)]. 87.96/88.17 2047 mult(ld(b,unit),mult(b,c)) = mult(ld(b,c),b). [para(126(a,1),1458(a,1,2))]. 87.96/88.17 2054 ld(mult(rd(A,B),mult(C,B)),mult(A,ld(B,C))) = ld(B,unit). [para(1458(a,1),33(a,1,2,2,1)),rewrite([593(3),593(8),11(6)])]. 87.96/88.17 2125 mult(mult(ld(A,B),A),ld(A,B)) = ld(ld(B,A),B). [para(12(a,1),1459(a,1,2)),rewrite([816(3)]),flip(a)]. 87.96/88.17 2126 mult(mult(A,rd(B,A)),A) = ld(ld(A,unit),B). [para(13(a,1),1459(a,1,2)),flip(a)]. 87.96/88.17 2132 rd(mult(ld(A,unit),B),A) = ld(A,rd(B,A)). [para(27(a,1),1459(a,1,1)),rewrite([720(2),593(3),720(4),720(7),593(8)]),flip(a)]. 87.96/88.17 2157 mult(A,ld(mult(B,C),ld(C,unit))) = rd(A,mult(mult(C,B),C)). [para(1459(a,1),911(a,1,2)),flip(a)]. 87.96/88.17 2163 ld(ld(mult(A,B),unit),mult(ld(B,A),B)) = mult(A,mult(A,B)). [para(1458(a,1),1459(a,1,2)),rewrite([593(10),11(8)])]. 87.96/88.17 2171 rd(mult(rd(A,B),C),B) = mult(A,ld(B,rd(C,B))). [back_rewrite(613),rewrite([2132(4)]),flip(a)]. 87.96/88.17 2210 rd(rd(A,B),mult(B,B)) = rd(A,mult(B,mult(B,B))). [para(1521(a,1),911(a,1,2)),rewrite([1934(8)]),flip(a)]. 87.96/88.17 2213 mult(A,ld(B,ld(B,ld(B,unit)))) = rd(A,mult(B,mult(B,B))). [back_rewrite(1934),rewrite([2210(8)])]. 87.96/88.17 2221 rd(rd(A,mult(B,B)),B) = rd(A,mult(B,mult(B,B))). [back_rewrite(273),rewrite([2210(6)])]. 87.96/88.17 2597 ld(mult(b,mult(c,c)),unit) = ld(mult(b,c),ld(c,unit)). [para(1864(a,1),604(a,1,2)),flip(a)]. 87.96/88.17 2601 ld(ld(A,rd(B,A)),mult(ld(A,unit),B)) = A. [para(2032(a,1),14(a,1,2))]. 87.96/88.17 2620 mult(ld(A,mult(mult(B,A),ld(A,C))),A) = mult(ld(A,unit),mult(B,mult(C,A))). [para(134(a,1),2032(a,1,1,2))]. 87.96/88.17 2624 ld(mult(ld(A,unit),B),ld(A,rd(B,A))) = ld(A,unit). [para(2032(a,1),594(a,1,1))]. 87.96/88.17 2650 ld(mult(A,rd(B,A)),ld(ld(A,unit),B)) = A. [para(2044(a,1),27(a,1,1))]. 87.96/88.17 2915 rd(mult(A,ld(ld(B,unit),C)),B) = mult(mult(A,B),rd(C,B)). [para(2126(a,1),134(a,1,1,2)),rewrite([14(9)])]. 87.96/88.17 2967 rd(rd(ld(A,unit),B),A) = ld(A,rd(ld(B,unit),A)). [para(593(a,1),2132(a,1,1))]. 87.96/88.17 3242 mult(rd(A,B),C) = mult(A,ld(B,C)) | mult(rd(A,mult(B,B)),mult(C,B)) = mult(A,ld(B,C)). [para(1458(a,1),49(b,2,2,1)),rewrite([593(3),593(5),11(3),1458(6),593(7),11(5),593(10),644(8),803(9),593(14),11(12)])]. 87.96/88.17 4197 ld(rd(A,B),rd(A,mult(B,mult(B,B)))) = ld(B,ld(B,unit)). [para(593(a,1),184(a,1,1)),rewrite([593(8),644(6),803(7),1906(5),2213(6),593(10),644(8)])]. 87.96/88.17 4271 rd(mult(mult(b,b),c),mult(b,mult(b,mult(c,c)))) = ld(c,unit). [para(185(a,1),1457(a,1,2))]. 87.96/88.17 4672 mult(ld(ld(A,unit),B),ld(ld(A,unit),B)) = mult(mult(A,mult(mult(B,A),rd(B,A))),A). [para(241(a,1),2126(a,2)),rewrite([2915(5)]),flip(a)]. 87.96/88.17 4678 mult(rd(A,mult(B,A)),A) = ld(B,A). [para(10(a,1),248(a,2,2)),rewrite([593(4)])]. 87.96/88.17 4679 rd(ld(A,mult(B,C)),C) = mult(C,ld(mult(A,C),B)). [para(248(a,1),11(a,1,1))]. 87.96/88.17 4681 ld(rd(A,B),mult(C,B)) = mult(mult(B,ld(A,C)),B). [para(13(a,1),248(a,1,1,2,1)),flip(a)]. 87.96/88.17 4714 mult(mult(A,ld(mult(B,C),D)),C) = mult(rd(A,C),ld(B,mult(D,C))). [para(248(a,1),32(a,1,2)),flip(a)]. 87.96/88.17 4733 ld(A,rd(ld(rd(B,A),C),A)) = ld(B,rd(C,A)). [para(248(a,1),593(a,1)),rewrite([593(3),593(7),2132(8)]),flip(a)]. 87.96/88.17 4738 ld(b,mult(c,c)) = mult(rd(c,b),c). [para(822(a,1),248(a,1,1,2)),rewrite([593(5)]),flip(a)]. 87.96/88.17 4763 ld(b,mult(rd(c,b),c)) = mult(rd(c,mult(b,b)),c). [para(832(a,1),248(a,1,1,2)),rewrite([803(7)]),flip(a)]. 87.96/88.17 4769 mult(mult(ld(mult(A,B),C),B),ld(mult(C,B),A)) = ld(B,unit). [para(248(a,1),1457(a,1,2)),rewrite([911(6)])]. 87.96/88.17 4774 mult(ld(A,unit),ld(B,mult(C,A))) = mult(ld(mult(B,A),C),A). [para(248(a,1),1458(a,1,2)),rewrite([14(9)])]. 87.96/88.17 5064 rd(ld(A,B),B) = rd(B,mult(A,B)). [para(4678(a,1),11(a,1,1))]. 87.96/88.17 5065 mult(rd(A,mult(B,A)),ld(B,A)) = ld(B,ld(B,A)). [para(12(a,1),4678(a,1,1,2)),rewrite([5064(2)])]. 87.96/88.17 5066 ld(rd(A,B),B) = mult(rd(B,A),B). [para(13(a,1),4678(a,1,1,2)),flip(a)]. 87.96/88.17 5067 ld(rd(A,mult(B,A)),ld(B,A)) = A. [para(4678(a,1),14(a,1,2))]. 87.96/88.17 5068 mult(rd(A,mult(B,A)),mult(mult(A,C),A)) = mult(mult(ld(B,A),C),A). [para(4678(a,1),15(a,1,1,1)),flip(a)]. 87.96/88.17 5083 mult(rd(b,mult(b,c)),b) = ld(c,b). [para(126(a,1),4678(a,1,1,2))]. 87.96/88.17 5086 rd(rd(A,mult(B,A)),A) = rd(ld(B,A),mult(A,A)). [para(4678(a,1),156(a,1,1)),flip(a)]. 87.96/88.17 5097 rd(mult(A,ld(B,C)),C) = rd(mult(A,C),mult(B,C)). [para(4678(a,1),134(a,1,1,2)),rewrite([604(7),593(8)])]. 87.96/88.17 5102 ld(ld(A,B),rd(B,mult(A,B))) = ld(B,unit). [para(4678(a,1),594(a,1,1))]. 87.96/88.17 5105 ld(c,mult(rd(b,c),b)) = mult(rd(b,mult(c,c)),b). [para(616(a,1),4678(a,1,1,2)),rewrite([156(9),806(11),214(5)]),flip(a)]. 87.96/88.17 5124 mult(ld(mult(A,B),unit),B) = mult(ld(B,unit),ld(A,B)). [para(4678(a,1),1458(a,1,2)),rewrite([604(7)]),flip(a)]. 87.96/88.17 5184 ld(mult(rd(c,b),c),unit) = ld(mult(c,c),b). [para(4738(a,1),816(a,1,1))]. 87.96/88.17 5435 mult(ld(A,ld(A,B)),ld(B,A)) = rd(B,mult(A,B)). [para(12(a,1),5064(a,2,2)),rewrite([911(4),5064(6)])]. 87.96/88.17 5436 rd(mult(A,B),mult(A,mult(A,B))) = rd(B,mult(A,B)). [para(14(a,1),5064(a,1,1)),flip(a)]. 87.96/88.17 5444 rd(b,mult(c,mult(b,b))) = rd(ld(c,unit),b). [para(133(a,1),5064(a,2,2)),rewrite([594(5)]),flip(a)]. 87.96/88.17 5449 ld(rd(ld(A,B),mult(B,B)),rd(B,mult(A,B))) = B. [para(5064(a,1),271(a,1,2))]. 87.96/88.17 5453 rd(ld(A,unit),rd(B,A)) = mult(ld(B,ld(A,unit)),A). [para(593(a,1),5064(a,2,2)),rewrite([911(6),24(5)]),flip(a)]. 87.96/88.17 5454 rd(A,mult(mult(A,B),A)) = rd(ld(B,unit),A). [para(594(a,1),5064(a,1,1)),flip(a)]. 87.96/88.17 5455 rd(rd(A,B),mult(A,rd(A,B))) = mult(ld(A,ld(B,unit)),B). [para(604(a,1),5064(a,1,1)),rewrite([5453(4)]),flip(a)]. 87.96/88.17 5456 rd(c,mult(b,mult(c,c))) = rd(ld(b,unit),c). [para(822(a,1),5064(a,1,1)),rewrite([28(11)]),flip(a)]. 87.96/88.17 5458 rd(mult(b,b),mult(c,mult(b,b))) = rd(rd(b,c),b). [para(1021(a,1),5064(a,1,1)),rewrite([156(9)]),flip(a)]. 87.96/88.17 5472 rd(mult(mult(A,B),A),mult(B,A)) = rd(mult(B,A),mult(ld(A,B),A)). [para(1458(a,1),5064(a,2,2)),rewrite([1459(4)])]. 87.96/88.17 5480 ld(ld(mult(A,B),unit),mult(ld(B,unit),ld(A,B))) = B. [para(5064(a,1),2601(a,1,1,2)),rewrite([604(3)])]. 87.96/88.17 5481 rd(mult(ld(A,unit),B),mult(ld(A,rd(B,A)),mult(ld(A,unit),B))) = rd(A,mult(ld(A,unit),B)). [para(2601(a,1),5064(a,1,1)),flip(a)]. 87.96/88.17 5501 ld(mult(A,B),ld(B,unit)) = ld(B,rd(ld(A,unit),B)). [para(593(a,1),5066(a,2)),rewrite([911(3),24(2),2967(8)])]. 87.96/88.17 5503 ld(mult(rd(A,B),A),unit) = ld(A,rd(B,A)). [para(5066(a,1),816(a,1,1))]. 87.96/88.17 5579 ld(mult(b,mult(c,c)),unit) = ld(c,rd(ld(b,unit),c)). [back_rewrite(2597),rewrite([5501(14)])]. 87.96/88.17 5580 mult(A,ld(B,rd(ld(C,unit),B))) = rd(A,mult(mult(B,C),B)). [back_rewrite(2157),rewrite([5501(4)])]. 87.96/88.17 5587 ld(mult(mult(A,B),A),unit) = ld(A,rd(ld(B,unit),A)). [back_rewrite(1487),rewrite([5501(8)])]. 87.96/88.17 5588 ld(mult(c,c),b) = ld(c,rd(b,c)). [back_rewrite(5184),rewrite([5503(7)]),flip(a)]. 87.96/88.17 5658 mult(ld(mult(b,c),unit),b) = mult(ld(b,unit),ld(c,b)). [para(5083(a,1),1458(a,1,2)),rewrite([604(14)]),flip(a)]. 87.96/88.17 6055 rd(rd(A,mult(B,A)),mult(ld(B,A),rd(A,mult(B,A)))) = rd(ld(A,unit),rd(A,mult(B,A))). [para(5102(a,1),5064(a,1,1)),flip(a)]. 87.96/88.17 6644 ld(mult(A,B),rd(B,mult(A,B))) = ld(mult(A,mult(A,B)),unit). [para(11(a,1),5503(a,1,1,1)),flip(a)]. 87.96/88.17 7130 rd(mult(A,B),mult(mult(B,C),B)) = rd(rd(A,C),B). [para(13(a,1),275(a,1,1,1))]. 87.96/88.17 7386 mult(rd(A,mult(B,C)),C) = mult(rd(A,C),ld(B,C)). [para(4678(a,1),276(a,2,2)),rewrite([604(3),593(4)])]. 87.96/88.17 7394 mult(rd(A,mult(b,c)),b) = mult(rd(A,b),ld(c,b)). [para(5083(a,1),276(a,2,2)),rewrite([604(7),593(6)])]. 87.96/88.17 7687 mult(mult(A,c),b) = mult(A,mult(b,c)) | mult(mult(A,c),b) = mult(mult(A,b),c). [para(16(a,2),296(a,2)),rewrite([126(7),296(17)]),flip(b)]. 87.96/88.17 8381 mult(mult(b,b),mult(c,c)) = mult(c,mult(c,mult(b,b))) | mult(c,mult(c,mult(b,b))) = mult(b,mult(mult(c,c),b)). [para(543(a,1),16(a,1)),rewrite([543(22)]),flip(a)]. 87.96/88.17 8653 mult(mult(b,b),ld(b,c)) = mult(b,c). [para(42(b,1),572(a,2)),rewrite([126(10),572(18),12(24)]),merge(b)]. 87.96/88.17 8684 mult(c,mult(b,b)) = mult(b,mult(b,c)). [para(8653(a,1),15(a,1,1)),rewrite([133(5),12(11),126(9)])]. 87.96/88.17 8823 mult(mult(b,b),mult(c,c)) = mult(c,mult(b,mult(b,c))) | mult(c,mult(b,mult(b,c))) = mult(b,mult(mult(c,c),b)). [back_rewrite(8381),rewrite([8684(13),8684(21)])]. 87.96/88.17 8999 rd(mult(b,b),mult(b,mult(b,c))) = rd(rd(b,c),b). [back_rewrite(5458),rewrite([8684(8)])]. 87.96/88.17 9001 rd(b,mult(b,mult(b,c))) = rd(ld(c,unit),b). [back_rewrite(5444),rewrite([8684(6)])]. 87.96/88.17 9097 rd(c,mult(b,c)) = ld(b,unit). [back_rewrite(1863),rewrite([8684(8),5436(9)])]. 87.96/88.17 9120 mult(rd(A,b),mult(b,mult(b,c))) = mult(mult(A,c),b). [back_rewrite(299),rewrite([8684(7)])]. 87.96/88.17 9123 mult(mult(b,b),c) = mult(b,mult(b,c)). [back_rewrite(189),rewrite([8684(10)]),merge(b)]. 87.96/88.17 9124 mult(mult(b,mult(b,c)),c) = mult(b,mult(b,mult(c,c))). [back_rewrite(185),rewrite([8684(5)])]. 87.96/88.17 9154 rd(mult(b,mult(b,c)),mult(b,mult(b,mult(c,c)))) = ld(c,unit). [back_rewrite(4271),rewrite([9123(5)])]. 87.96/88.17 9256 mult(ld(b,c),b) = c. [para(9097(a,1),13(a,1,1)),rewrite([2047(7)])]. 87.96/88.17 9257 ld(ld(b,unit),c) = mult(b,c). [para(9097(a,1),27(a,1,1))]. 87.96/88.17 9259 ld(mult(b,c),unit) = ld(c,ld(b,unit)). [para(9097(a,1),604(a,1,2)),flip(a)]. 87.96/88.17 9267 mult(ld(b,unit),c) = ld(b,c). [para(9097(a,1),5066(a,2,1)),rewrite([11(5)]),flip(a)]. 87.96/88.17 9315 mult(ld(b,unit),mult(b,c)) = c. [back_rewrite(2047),rewrite([9256(12)])]. 87.96/88.17 9324 mult(ld(c,ld(b,unit)),b) = mult(ld(b,unit),ld(c,b)). [back_rewrite(5658),rewrite([9259(5)])]. 87.96/88.17 9337 rd(c,b) = ld(b,c). [para(9256(a,1),11(a,1,1))]. 87.96/88.17 9346 rd(ld(b,c),b) = rd(c,mult(b,b)). [para(9256(a,1),156(a,1,1)),flip(a)]. 87.96/88.17 9350 mult(ld(b,c),mult(b,mult(b,b))) = mult(b,mult(b,c)). [para(9256(a,1),114(a,1,1)),rewrite([8684(5)]),flip(a)]. 87.96/88.17 9351 mult(mult(A,b),ld(b,ld(b,c))) = rd(mult(A,c),b). [para(9256(a,1),134(a,1,1,2)),flip(a)]. 87.96/88.17 9365 mult(ld(b,ld(b,c)),b) = ld(b,c). [para(9256(a,1),1458(a,1,2)),rewrite([9267(5)]),flip(a)]. 87.96/88.17 9366 ld(ld(c,b),c) = mult(c,ld(b,c)). [para(9256(a,1),1459(a,2,1)),rewrite([816(5),12(8)])]. 87.96/88.17 9378 ld(c,mult(b,mult(b,c))) = mult(b,b). [para(9256(a,1),184(a,1,1)),rewrite([9350(10)])]. 87.96/88.17 9391 mult(ld(b,unit),mult(b,mult(c,c))) = mult(c,c). [para(9256(a,1),296(a,2,1)),rewrite([5064(5),9097(5)])]. 87.96/88.17 9396 rd(mult(ld(b,c),A),b) = mult(c,ld(b,rd(A,b))). [para(9256(a,1),556(a,1,1)),flip(a)]. 87.96/88.17 9471 ld(b,mult(ld(b,c),c)) = mult(rd(c,mult(b,b)),c). [back_rewrite(4763),rewrite([9337(4)])]. 87.96/88.17 9472 ld(b,mult(c,c)) = mult(ld(b,c),c). [back_rewrite(4738),rewrite([9337(8)])]. 87.96/88.17 9521 rd(c,mult(b,b)) = ld(b,ld(b,c)). [para(9337(a,1),2132(a,2,2)),rewrite([9267(5),9346(5)])]. 87.96/88.17 9523 ld(ld(b,c),b) = mult(rd(b,c),b). [para(9337(a,1),5066(a,1,1))]. 87.96/88.17 9529 ld(b,mult(ld(b,c),c)) = mult(ld(b,ld(b,c)),c). [back_rewrite(9471),rewrite([9521(12)])]. 87.96/88.17 9659 mult(ld(c,ld(b,unit)),mult(b,c)) = unit. [para(9257(a,1),906(a,1,2))]. 87.96/88.17 9667 mult(ld(b,unit),mult(c,c)) = mult(ld(b,c),c). [para(9267(a,1),28(a,1,1)),flip(a)]. 87.96/88.17 9688 ld(ld(c,unit),ld(b,c)) = mult(ld(b,c),c). [para(9267(a,1),1459(a,1,2)),rewrite([593(12),9337(10)])]. 87.96/88.17 10045 mult(mult(b,b),mult(c,c)) = mult(b,mult(b,mult(c,c))). [para(9123(a,1),28(a,1,1)),rewrite([9124(7)]),flip(a)]. 87.96/88.17 10065 mult(ld(c,unit),mult(b,mult(b,c))) = mult(mult(rd(b,c),b),c). [para(9123(a,1),1458(a,1,2)),rewrite([1021(14)])]. 87.96/88.17 10097 mult(c,mult(b,mult(b,c))) = mult(b,mult(b,mult(c,c))) | mult(c,mult(b,mult(b,c))) = mult(b,mult(mult(c,c),b)). [back_rewrite(8823),rewrite([10045(7)]),flip(a)]. 87.96/88.17 10222 mult(ld(c,ld(b,unit)),mult(A,mult(b,c))) = mult(ld(mult(b,c),A),mult(b,c)). [para(9259(a,1),1458(a,1,1))]. 87.96/88.17 10289 mult(ld(b,ld(b,c)),mult(b,b)) = c. [para(9365(a,1),28(a,1,1)),rewrite([9256(5)]),flip(a)]. 87.96/88.17 10525 rd(mult(b,mult(b,c)),mult(c,mult(b,mult(b,c)))) = rd(rd(b,c),b). [para(9378(a,1),5064(a,1,1)),rewrite([8999(9)]),flip(a)]. 87.96/88.17 10543 rd(A,mult(ld(b,c),c)) = mult(A,ld(c,rd(b,c))). [para(9472(a,1),911(a,1,2)),rewrite([5588(11)])]. 87.96/88.17 10553 mult(rd(A,B),mult(B,C)) = mult(A,C) | mult(B,C) = mult(C,B). [para(67(a,1),14(a,1,2)),rewrite([14(10)])]. 87.96/88.17 10704 ld(mult(ld(b,ld(b,c)),c),unit) = ld(c,rd(mult(b,b),c)). [para(9521(a,1),5503(a,1,1,1))]. 87.96/88.17 11184 ld(mult(rd(b,c),b),c) = mult(c,ld(b,ld(b,c))). [para(10289(a,1),1459(a,2,1)),rewrite([816(7),9523(5),9351(14),127(10)])]. 87.96/88.17 11355 ld(ld(b,unit),mult(c,c)) = mult(b,mult(c,c)). [para(9391(a,1),14(a,1,2))]. 87.96/88.17 11706 ld(b,rd(mult(c,c),b)) = mult(c,ld(b,ld(b,c))). [para(9667(a,1),1459(a,2,1)),rewrite([816(5),24(3),593(8),593(16),9396(14),9337(12)])]. 87.96/88.17 12053 mult(mult(A,rd(mult(c,c),b)),b) = mult(rd(A,b),mult(b,mult(c,c))). [para(11355(a,1),134(a,2,2)),rewrite([593(7),911(10),24(9),593(12)])]. 87.96/88.17 12137 rd(rd(rd(A,B),C),B) = rd(A,mult(mult(B,C),B)). [para(798(a,1),593(a,1)),rewrite([593(6),2967(4),5580(5),593(6)]),flip(a)]. 87.96/88.17 12296 mult(rd(A,mult(B,A)),mult(rd(A,C),A)) = mult(rd(ld(B,A),C),A). [para(5064(a,1),806(a,1,1))]. 87.96/88.17 12313 mult(rd(A,mult(b,mult(b,c))),b) = rd(rd(A,b),c). [para(9001(a,1),806(a,1,2,1)),rewrite([13(9),593(6)]),flip(a)]. 87.96/88.17 12403 mult(c,mult(rd(b,mult(c,c)),b)) = mult(rd(b,c),b). [para(156(a,1),811(a,1,1)),flip(a)]. 87.96/88.17 12426 mult(c,mult(rd(b,mult(b,mult(c,c))),b)) = mult(ld(c,unit),b). [para(1864(a,1),811(a,1,1)),flip(a)]. 87.96/88.17 12478 ld(rd(A,mult(B,mult(B,B))),rd(A,B)) = mult(B,B). [para(271(a,1),917(a,2,1)),rewrite([804(6),593(5),2221(3),271(9)])]. 87.96/88.17 12667 mult(ld(ld(A,B),A),B) = mult(ld(B,A),mult(A,B)). [para(2125(a,1),15(a,1,1)),rewrite([12(6)])]. 87.96/88.17 12671 mult(mult(A,B),ld(B,A)) = mult(B,ld(ld(A,B),A)). [para(2125(a,1),30(a,1,2)),flip(a)]. 87.96/88.17 12905 ld(mult(ld(A,unit),ld(B,A)),ld(mult(B,A),unit)) = ld(A,unit). [para(5064(a,1),2624(a,1,2,2)),rewrite([604(7)])]. 87.96/88.17 13023 mult(ld(A,unit),ld(rd(B,A),C)) = mult(ld(B,rd(C,A)),A). [para(593(a,1),4679(a,1,1,2)),rewrite([911(5),24(4),593(8)]),flip(a)]. 87.96/88.17 13114 mult(mult(A,ld(B,rd(C,A))),A) = ld(rd(B,A),C). [para(13(a,1),4681(a,1,2)),flip(a)]. 87.96/88.17 13127 ld(mult(A,B),rd(C,B)) = ld(B,rd(ld(A,C),B)). [para(593(a,1),4681(a,1,2)),rewrite([911(3),24(2),593(10),2132(8)])]. 87.96/88.17 13143 mult(mult(A,ld(B,ld(A,rd(C,A)))),A) = ld(rd(B,A),mult(ld(A,unit),C)). [para(2032(a,1),4681(a,1,2)),flip(a)]. 87.96/88.17 13147 ld(rd(A,mult(B,A)),mult(C,A)) = mult(mult(A,ld(ld(B,A),C)),A). [para(5064(a,1),4681(a,1,1))]. 87.96/88.17 13158 mult(mult(b,ld(A,ld(b,c))),b) = ld(rd(A,b),c). [para(9256(a,1),4681(a,1,2)),flip(a)]. 87.96/88.17 13159 ld(ld(b,c),mult(A,b)) = mult(mult(b,ld(c,A)),b). [para(9337(a,1),4681(a,1,1))]. 87.96/88.17 13386 rd(ld(rd(A,B),C),B) = mult(B,ld(A,rd(C,B))). [para(4733(a,1),12(a,1,2)),flip(a)]. 87.96/88.17 13387 ld(mult(b,c),rd(A,b)) = ld(b,rd(ld(c,A),b)). [para(127(a,1),4733(a,1,2,1,1)),flip(a)]. 87.96/88.17 13410 mult(mult(A,ld(B,rd(C,D))),D) = mult(rd(A,D),ld(rd(B,D),C)). [para(4733(a,1),276(a,1,1,2)),rewrite([13386(8),13114(9)])]. 87.96/88.17 13437 mult(rd(A,mult(B,A)),ld(B,ld(B,A))) = ld(B,ld(B,ld(B,A))). [para(12(a,1),5065(a,1,1,2)),rewrite([5064(2)])]. 87.96/88.17 13917 rd(mult(ld(A,unit),ld(B,A)),mult(B,A)) = ld(mult(B,mult(B,A)),unit). [para(2132(a,1),5097(a,2)),rewrite([5097(6),5124(4),6644(10)])]. 87.96/88.17 14021 ld(mult(c,ld(b,ld(b,c))),unit) = mult(rd(b,mult(c,c)),b). [para(5105(a,1),816(a,2)),rewrite([11184(7)])]. 87.96/88.17 14039 mult(ld(mult(A,mult(mult(B,C),B)),unit),B) = mult(ld(B,unit),ld(mult(mult(A,B),C),B)). [para(15(a,1),5124(a,1,1,1))]. 87.96/88.17 14064 rd(mult(A,ld(B,C)),mult(B,C)) = rd(mult(A,C),mult(B,mult(B,C))). [para(5124(a,1),35(a,2,2,1)),rewrite([593(4),7386(3),23(1),10(3),593(6),593(13),13917(11),593(10)])]. 87.96/88.17 14153 rd(ld(A,unit),rd(A,mult(B,A))) = mult(ld(ld(B,A),ld(A,unit)),A). [para(5067(a,1),5435(a,1,2)),rewrite([5102(5),6055(12)]),flip(a)]. 87.96/88.17 14187 ld(mult(A,ld(ld(B,A),B)),ld(B,A)) = ld(B,ld(B,ld(B,A))). [para(5435(a,1),4681(a,2,1)),rewrite([911(3),12(6),13437(10)])]. 87.96/88.17 14205 rd(rd(A,mult(B,A)),mult(ld(B,A),rd(A,mult(B,A)))) = mult(ld(ld(B,A),ld(A,unit)),A). [back_rewrite(6055),rewrite([14153(12)])]. 87.96/88.17 14216 rd(mult(A,B),mult(rd(A,B),mult(A,B))) = rd(mult(B,B),mult(A,B)). [para(110(a,1),5436(a,1,1)),rewrite([110(5),110(9)])]. 87.96/88.17 14314 ld(rd(mult(mult(A,B),A),mult(mult(B,A),mult(B,A))),rd(mult(B,A),mult(ld(A,B),A))) = mult(B,A). [para(1458(a,1),5449(a,1,2,2)),rewrite([1459(4)])]. 87.96/88.17 14383 ld(ld(c,ld(b,unit)),mult(ld(b,unit),ld(c,b))) = b. [para(126(a,1),5480(a,1,1,1)),rewrite([9259(5)])]. 87.96/88.17 14600 mult(rd(b,mult(b,mult(c,c))),b) = ld(rd(mult(c,c),b),unit). [para(9391(a,1),5587(a,1,1,1)),rewrite([593(7),5579(17),911(21),24(20),1459(20),5580(16),126(11),28(13)]),flip(a)]. 87.96/88.17 14617 rd(c,rd(mult(c,c),b)) = mult(ld(c,unit),b). [back_rewrite(12426),rewrite([14600(10),593(9)])]. 87.96/88.17 14631 mult(mult(ld(c,unit),b),rd(mult(c,c),b)) = c. [para(14617(a,1),13(a,1,1))]. 87.96/88.17 14657 mult(rd(ld(c,unit),b),mult(b,mult(c,c))) = c. [para(14631(a,1),16(a,2)),rewrite([12053(11),12053(24),13(34),1458(31),26(27),10(27)]),merge(b)]. 87.96/88.17 14658 mult(ld(c,unit),mult(b,rd(mult(c,c),b))) = c. [para(14631(a,1),18(b,1)),rewrite([13(21),1458(18),26(14),10(14)]),flip(b),merge(b)]. 87.96/88.17 14690 rd(ld(c,unit),b) = rd(ld(b,unit),c). [para(14657(a,1),11(a,1,1)),rewrite([5456(7)]),flip(a)]. 87.96/88.17 14759 rd(b,mult(b,mult(b,c))) = rd(ld(b,unit),c). [back_rewrite(9001),rewrite([14690(12)])]. 87.96/88.17 14780 mult(rd(ld(b,unit),c),b) = ld(c,unit). [para(14690(a,1),13(a,1,1))]. 87.96/88.17 14782 mult(rd(ld(b,unit),c),mult(b,b)) = mult(ld(c,unit),b). [para(14690(a,1),110(a,1,1))]. 87.96/88.17 14867 mult(b,rd(mult(c,c),b)) = mult(c,c). [para(14658(a,1),14(a,1,2)),rewrite([738(5)]),flip(a)]. 87.96/88.17 14887 rd(mult(c,c),b) = mult(ld(b,c),c). [para(14867(a,1),14(a,1,2)),rewrite([9472(5)]),flip(a)]. 87.96/88.17 14888 mult(mult(c,c),b) = mult(b,mult(c,c)). [para(14867(a,1),2126(a,1,1)),rewrite([11355(12)])]. 87.96/88.17 14945 mult(ld(c,unit),b) = rd(b,c). [back_rewrite(14617),rewrite([14887(6),10543(7),12(7)]),flip(a)]. 87.96/88.17 14947 mult(ld(b,ld(b,c)),c) = mult(c,ld(b,ld(b,c))). [back_rewrite(11706),rewrite([14887(6),9529(7)])]. 87.96/88.17 14963 mult(c,mult(b,mult(b,c))) = mult(b,mult(b,mult(c,c))). [back_rewrite(10097),rewrite([14888(28)]),merge(b)]. 87.96/88.17 15003 mult(rd(ld(b,unit),c),mult(b,b)) = rd(b,c). [back_rewrite(14782),rewrite([14945(14)])]. 87.96/88.17 15025 ld(c,rd(mult(b,b),c)) = mult(rd(b,mult(c,c)),b). [back_rewrite(10704),rewrite([14947(7),14021(9)]),flip(a)]. 87.96/88.17 15047 rd(rd(b,c),b) = ld(c,unit). [back_rewrite(10525),rewrite([14963(12),9154(13)]),flip(a)]. 87.96/88.17 15105 mult(ld(c,unit),mult(b,b)) = mult(rd(b,c),b). [para(14945(a,1),28(a,1,1)),flip(a)]. 87.96/88.17 15123 rd(b,mult(c,c)) = ld(c,rd(b,c)). [para(14945(a,1),1459(a,2,1)),rewrite([816(5),24(3),593(6),593(12),214(10)]),flip(a)]. 87.96/88.17 15160 ld(c,rd(mult(b,b),c)) = mult(ld(c,rd(b,c)),b). [back_rewrite(15025),rewrite([15123(12)])]. 87.96/88.17 15182 mult(c,mult(ld(c,rd(b,c)),b)) = mult(rd(b,c),b). [back_rewrite(12403),rewrite([15123(6)])]. 87.96/88.17 15191 mult(mult(b,ld(rd(b,c),A)),b) = ld(ld(c,unit),mult(A,b)). [para(15047(a,1),4681(a,1,1)),flip(a)]. 87.96/88.17 15381 mult(rd(ld(b,unit),c),mult(b,mult(b,c))) = b. [para(14759(a,1),13(a,1,1))]. 87.96/88.17 15450 mult(c,mult(b,ld(c,rd(b,c)))) = rd(mult(b,b),c). [para(15105(a,1),30(a,1,2,1)),rewrite([593(10),2171(8),10(14),593(16)])]. 87.96/88.17 15458 mult(ld(c,rd(b,c)),b) = mult(b,ld(c,rd(b,c))). [para(15105(a,1),1459(a,2,1)),rewrite([816(5),24(3),593(8),15160(7),593(16),2171(14)])]. 87.96/88.17 15479 rd(mult(b,b),c) = mult(rd(b,c),b). [back_rewrite(15182),rewrite([15458(8),15450(9)])]. 87.96/88.17 15546 mult(mult(rd(b,c),b),c) = mult(b,b). [para(15479(a,1),13(a,1,1))]. 87.96/88.17 15571 mult(ld(c,unit),mult(b,mult(b,c))) = mult(b,b). [back_rewrite(10065),rewrite([15546(16)])]. 87.96/88.17 15840 mult(ld(b,unit),ld(c,b)) = rd(b,mult(b,c)). [para(15381(a,1),134(a,1,1)),rewrite([594(19),593(18),134(16),13(12)]),flip(a)]. 87.96/88.17 15855 ld(ld(c,ld(b,unit)),rd(b,mult(b,c))) = b. [back_rewrite(14383),rewrite([15840(12)])]. 87.96/88.17 15865 mult(ld(c,ld(b,unit)),b) = rd(b,mult(b,c)). [back_rewrite(9324),rewrite([15840(14)])]. 87.96/88.17 15911 rd(mult(b,b),mult(b,c)) = ld(c,b). [para(15571(a,1),134(a,1,1)),rewrite([1458(14),594(17),593(16),11(14)])]. 87.96/88.17 15985 mult(ld(c,b),b) = mult(b,ld(c,b)). [para(15911(a,1),798(a,1,1)),rewrite([7394(13),23(9),10(11)])]. 87.96/88.17 16386 ld(rd(b,mult(b,c)),ld(b,c)) = mult(c,ld(b,c)). [para(15840(a,1),5501(a,1,1)),rewrite([816(10),816(17),24(15),911(17),12(17),9366(14)])]. 87.96/88.17 16398 mult(ld(c,ld(b,unit)),mult(b,b)) = ld(c,b). [para(15855(a,1),109(a,1,2,1)),rewrite([15855(17),15855(25),7394(16),23(12),10(14)])]. 87.96/88.17 16836 mult(ld(c,ld(b,unit)),mult(b,mult(c,c))) = c. [para(9659(a,1),119(b,1,1)),rewrite([10222(22),822(16),9315(18),10(16)]),flip(b),merge(b)]. 87.96/88.17 16837 rd(ld(b,unit),c) = ld(c,ld(b,unit)). [para(16836(a,1),11(a,1,1)),rewrite([5456(7)])]. 87.96/88.17 16971 mult(ld(c,b),c) = b. [back_rewrite(15381),rewrite([16837(5),10222(11),594(5),1458(7)])]. 87.96/88.18 16987 rd(b,c) = ld(c,b). [back_rewrite(15003),rewrite([16837(5),16398(9)]),flip(a)]. 87.96/88.18 17042 rd(b,mult(b,c)) = ld(c,unit). [back_rewrite(14780),rewrite([16837(5),15865(7)])]. 87.96/88.18 17606 mult(mult(b,ld(ld(c,b),A)),b) = ld(ld(c,unit),mult(A,b)). [back_rewrite(15191),rewrite([16987(4)])]. 87.96/88.18 17744 mult(ld(b,c),c) = mult(c,ld(b,c)). [back_rewrite(16386),rewrite([17042(5),9688(7)])]. 87.96/88.18 18167 rd(mult(ld(c,b),A),c) = mult(b,ld(c,rd(A,c))). [para(16971(a,1),556(a,1,1)),flip(a)]. 87.96/88.18 18175 mult(mult(c,ld(A,ld(c,b))),c) = ld(rd(A,c),b). [para(16971(a,1),4681(a,1,2)),flip(a)]. 87.96/88.18 18178 ld(c,ld(b,unit)) = ld(b,ld(c,unit)). [para(16971(a,1),5501(a,1,1)),rewrite([816(11),5064(11),9097(11)]),flip(a)]. 87.96/88.18 18420 rd(ld(b,unit),c) = ld(b,ld(c,unit)). [back_rewrite(16837),rewrite([18178(10)])]. 87.96/88.18 18517 mult(mult(mult(b,c),ld(b,A)),mult(b,c)) = ld(ld(c,unit),mult(A,mult(b,c))). [para(17042(a,1),4681(a,1,1)),flip(a)]. 87.96/88.18 19466 ld(ld(b,ld(c,unit)),mult(A,c)) = mult(mult(c,ld(ld(b,unit),A)),c). [para(18420(a,1),4681(a,1,1))]. 87.96/88.18 20293 ld(rd(A,mult(B,C)),mult(rd(A,C),ld(B,C))) = C. [para(7386(a,1),14(a,1,2))]. 87.96/88.18 20313 ld(mult(rd(A,B),ld(C,B)),rd(A,mult(C,B))) = ld(B,unit). [para(7386(a,1),594(a,1,1))]. 87.96/88.18 21434 ld(rd(A,mult(mult(B,C),B)),rd(rd(A,B),C)) = B. [para(12137(a,1),27(a,1,1))]. 87.96/88.18 21838 rd(ld(A,B),mult(A,B)) = rd(B,mult(A,mult(A,B))). [para(5480(a,1),12667(a,2,1)),rewrite([12905(8),14(7),593(5),593(11),14064(9),716(6),720(7),593(8)])]. 87.96/88.18 22005 rd(ld(A,ld(A,B)),B) = rd(B,mult(A,mult(A,B))). [para(5067(a,1),12671(a,2,2,1)),rewrite([5065(4),5102(6),593(5),604(7),593(8),21838(6)])]. 87.96/88.18 22488 ld(mult(A,b),ld(b,c)) = ld(b,rd(ld(A,c),b)). [para(9337(a,1),13127(a,1,2))]. 87.96/88.18 22656 mult(mult(ld(A,ld(b,c)),b),ld(c,rd(A,b))) = ld(b,unit). [para(13158(a,1),1844(a,1,2)),rewrite([14(8),911(11)])]. 87.96/88.18 22861 rd(ld(rd(A,mult(B,A)),C),A) = mult(A,ld(ld(B,A),rd(C,A))). [para(5064(a,1),13386(a,1,1,1))]. 87.96/88.18 22896 rd(ld(ld(c,b),A),c) = mult(c,ld(b,rd(A,c))). [para(16987(a,1),13386(a,1,1,1))]. 87.96/88.18 26176 ld(mult(c,ld(b,rd(A,c))),ld(ld(c,b),A)) = c. [para(18175(a,1),5067(a,1,1,2)),rewrite([911(6),594(14),816(12)])]. 87.96/88.18 27840 ld(rd(rd(A,mult(B,A)),mult(C,A)),mult(rd(ld(B,A),mult(A,A)),ld(C,A))) = A. [para(5086(a,1),20293(a,1,2,1))]. 87.96/88.18 28105 rd(rd(rd(A,B),C),mult(rd(A,mult(mult(B,C),B)),rd(rd(A,B),C))) = rd(B,rd(rd(A,B),C)). [para(21434(a,1),5064(a,1,1)),flip(a)]. 87.96/88.18 28129 ld(rd(rd(A,mult(B,A)),mult(mult(A,C),A)),rd(rd(ld(B,A),mult(A,A)),C)) = A. [para(5086(a,1),21434(a,1,2,1))]. 87.96/88.18 28331 ld(rd(A,mult(B,mult(B,A))),ld(B,A)) = mult(B,A). [para(21838(a,1),27(a,1,1))]. 87.96/88.18 28332 mult(rd(A,mult(B,mult(B,A))),mult(mult(B,A),mult(B,A))) = mult(ld(B,A),mult(B,A)). [para(21838(a,1),110(a,1,1))]. 87.96/88.18 28338 ld(ld(A,B),rd(B,mult(A,mult(A,B)))) = ld(mult(A,B),unit). [para(21838(a,1),604(a,1,2))]. 87.96/88.18 28351 mult(rd(A,mult(B,mult(B,A))),ld(B,A)) = ld(B,ld(B,ld(B,A))). [para(21838(a,1),5066(a,2,1)),rewrite([911(3),12671(3),14187(5)]),flip(a)]. 87.96/88.18 28352 mult(ld(A,B),ld(ld(A,ld(A,B)),A)) = mult(B,ld(ld(A,B),A)). [para(5067(a,1),21838(a,1,1)),rewrite([5065(4),911(3),5065(10),13437(9),911(8)]),flip(a)]. 87.96/88.18 28366 rd(ld(A,B),mult(mult(ld(A,B),A),ld(ld(B,A),B))) = mult(ld(A,unit),ld(B,ld(B,A))). [para(2125(a,1),21838(a,1,2)),rewrite([594(4),911(5),2125(12)]),flip(a)]. 87.96/88.18 28467 mult(ld(mult(A,B),unit),ld(A,B)) = mult(ld(B,unit),ld(A,ld(A,B))). [para(2125(a,1),22005(a,2,2,2)),rewrite([594(6),5501(5),816(3),5064(2),604(3),911(5),28366(12)])]. 87.96/88.18 29396 ld(mult(A,ld(ld(B,A),B)),mult(B,A)) = ld(B,A). [para(28331(a,1),5067(a,1,2)),rewrite([28351(6),911(5),28352(5)])]. 87.96/88.18 29921 rd(mult(A,B),A) = B | mult(ld(A,unit),B) = ld(A,B). [para(1186(b,1),14(a,1,2)),flip(b)]. 87.96/88.18 30072 rd(mult(A,B),A) = B | rd(B,mult(A,B)) = ld(A,unit). [para(29921(b,1),11(a,1,1)),rewrite([5064(5)])]. 87.96/88.18 30468 rd(A,mult(B,A)) = ld(B,unit) | mult(A,B) = mult(B,A). [para(30072(a,1),13(a,1,1))]. 87.96/88.18 31423 rd(A,mult(B,A)) = ld(B,unit) | mult(ld(B,A),B) = A. [para(12(a,1),30468(a,1,2)),rewrite([5064(2),12(9)])]. 87.96/88.18 31424 ld(rd(A,B),unit) = rd(B,A) | mult(B,rd(A,B)) = A. [para(13(a,1),30468(a,1,2)),rewrite([13(9)]),flip(a)]. 87.96/88.18 32224 rd(A,mult(B,A)) = ld(B,unit) | rd(A,mult(A,B)) = ld(B,unit). [para(31423(b,1),1844(a,1,1))]. 87.96/88.18 38318 ld(ld(A,unit),mult(B,ld(ld(A,unit),C))) = mult(mult(A,mult(mult(B,A),rd(C,A))),A). [para(2915(a,1),2126(a,1,1,2)),flip(a)]. 87.96/88.18 38485 mult(mult(c,ld(A,ld(c,b))),c) = ld(rd(A,c),b). [para(26176(a,1),4769(a,1,2)),rewrite([13410(18),5064(13),13410(12),22896(7),16987(10),16987(16),7386(18),911(6),26176(17),816(14)])]. 87.96/88.18 38495 ld(rd(mult(A,c),mult(b,c)),b) = mult(rd(rd(b,A),c),mult(b,c)). [para(5066(a,1),38485(a,1,1,2)),rewrite([805(10),276(8),911(12),5097(14)]),flip(a)]. 87.96/88.18 39208 mult(ld(A,unit),ld(rd(A,mult(B,A)),C)) = mult(ld(ld(B,A),rd(C,A)),A). [para(5064(a,1),13023(a,1,2,1))]. 87.96/88.18 39492 ld(ld(c,unit),mult(rd(ld(c,b),A),b)) = mult(rd(b,A),b). [para(604(a,1),17606(a,1,1,2)),rewrite([593(4)]),flip(a)]. 87.96/88.18 39841 ld(b,rd(ld(ld(b,c),A),b)) = ld(c,rd(A,b)). [para(22656(a,1),14(a,1,2)),rewrite([5501(10),816(7)])]. 87.96/88.18 39847 rd(ld(ld(b,c),A),b) = mult(b,ld(c,rd(A,b))). [para(39841(a,1),12(a,1,2)),flip(a)]. 87.96/88.18 40748 ld(mult(rd(ld(c,b),A),b),ld(c,unit)) = ld(b,rd(A,b)). [para(39492(a,1),816(a,1,1)),rewrite([5503(6)]),flip(a)]. 87.96/88.18 46930 rd(A,mult(B,A)) = ld(B,unit). [para(31423(b,1),32224(b,1,2)),rewrite([12(8),5064(7),5064(12)]),merge(b),merge(c)]. 87.96/88.18 46931 ld(rd(A,B),unit) = rd(B,A). [para(31424(b,1),32224(b,1,2)),rewrite([13(7)]),flip(b),flip(c),merge(b),merge(c)]. 87.96/88.18 46957 mult(ld(ld(A,B),rd(C,B)),B) = mult(ld(B,unit),ld(ld(A,unit),C)). [back_rewrite(39208),rewrite([46930(4)]),flip(a)]. 87.96/88.18 46981 ld(rd(ld(A,unit),mult(mult(B,C),B)),rd(rd(ld(A,B),mult(B,B)),C)) = B. [back_rewrite(28129),rewrite([46930(2)])]. 87.96/88.18 46984 rd(mult(mult(A,B),A),C) = rd(A,rd(rd(C,A),B)). [back_rewrite(28105),rewrite([46930(9),46931(5)])]. 87.96/88.18 46985 ld(rd(ld(A,unit),mult(B,C)),mult(rd(ld(A,C),mult(C,C)),ld(B,C))) = C. [back_rewrite(27840),rewrite([46930(2)])]. 87.96/88.18 46991 mult(A,ld(ld(B,A),rd(C,A))) = rd(ld(ld(B,unit),C),A). [back_rewrite(22861),rewrite([46930(2)]),flip(a)]. 87.96/88.18 47012 rd(mult(A,A),mult(B,A)) = rd(A,B). [back_rewrite(14216),rewrite([46930(5),46931(3)]),flip(a)]. 87.96/88.18 47013 mult(ld(ld(A,B),ld(B,unit)),B) = mult(ld(ld(A,B),ld(A,unit)),A). [back_rewrite(14205),rewrite([46930(2),46930(5),593(6),5453(5)]),flip(a)]. 87.96/88.18 47039 mult(mult(A,ld(ld(B,A),C)),A) = ld(ld(B,unit),mult(C,A)). [back_rewrite(13147),rewrite([46930(2)]),flip(a)]. 87.96/88.18 47046 mult(ld(A,unit),mult(rd(B,C),B)) = mult(rd(ld(A,B),C),B). [back_rewrite(12296),rewrite([46930(2)])]. 87.96/88.18 47057 rd(A,mult(ld(A,unit),B)) = mult(rd(A,B),A). [back_rewrite(5481),rewrite([46930(10),816(4),5066(2)]),flip(a)]. 87.96/88.18 47061 mult(ld(A,ld(B,unit)),B) = ld(A,unit). [back_rewrite(5455),rewrite([46930(4)]),flip(a)]. 87.96/88.18 47062 rd(ld(A,unit),B) = ld(mult(B,A),unit). [back_rewrite(5454),rewrite([46930(3)]),flip(a)]. 87.96/88.18 47068 ld(ld(A,B),ld(A,unit)) = ld(B,unit). [back_rewrite(5102),rewrite([46930(3)])]. 87.96/88.18 47073 rd(ld(A,B),mult(B,B)) = ld(mult(B,A),unit). [back_rewrite(5086),rewrite([46930(2),47062(3)]),flip(a)]. 87.96/88.18 47075 mult(ld(A,unit),mult(mult(B,C),B)) = mult(mult(ld(A,B),C),B). [back_rewrite(5068),rewrite([46930(2)])]. 87.96/88.18 47077 rd(ld(A,B),B) = ld(A,unit). [back_rewrite(5064),rewrite([46930(4)])]. 87.96/88.18 47176 ld(ld(A,unit),rd(mult(A,B),mult(ld(B,A),B))) = mult(A,B). [back_rewrite(14314),rewrite([46984(6),134(4),28(2),5097(5),46984(5),11(2),46930(2),911(3),24(2),46930(2)])]. 87.96/88.18 47178 rd(mult(A,B),mult(ld(B,A),B)) = B. [back_rewrite(5472),rewrite([46984(4),11(2),23(1),22(2)]),flip(a)]. 87.96/88.18 47186 mult(ld(A,unit),B) = ld(A,B). [back_rewrite(47013),rewrite([47061(5),816(3),47068(5)]),flip(a)]. 87.96/88.18 47249 ld(ld(mult(mult(A,B),C),unit),ld(mult(B,C),ld(A,B))) = B. [back_rewrite(46985),rewrite([47062(4),47073(7),47186(9)])]. 87.96/88.18 47250 ld(ld(mult(mult(mult(A,B),A),C),unit),ld(mult(B,mult(A,C)),unit)) = A. [back_rewrite(46981),rewrite([47062(5),47073(8),47062(9)])]. 87.96/88.18 47336 ld(mult(A,B),ld(B,unit)) = ld(B,ld(mult(B,A),unit)). [back_rewrite(5501),rewrite([47062(7)])]. 87.96/88.18 47418 ld(ld(A,unit),B) = mult(A,B). [back_rewrite(47176),rewrite([47178(6)])]. 87.96/88.18 47422 ld(A,mult(mult(B,C),B)) = mult(mult(ld(A,B),C),B). [back_rewrite(47075),rewrite([47186(5)])]. 87.96/88.18 47425 mult(rd(A,B),A) = mult(A,ld(B,A)). [back_rewrite(47057),rewrite([47186(3),911(2)]),flip(a)]. 87.96/88.18 47429 ld(A,mult(B,ld(C,B))) = mult(rd(ld(A,B),C),B). [back_rewrite(47046),rewrite([47425(4),47186(5)])]. 87.96/88.18 47436 mult(ld(ld(A,B),rd(C,B)),B) = ld(B,mult(A,C)). [back_rewrite(46957),rewrite([47418(9),47186(8)])]. 87.96/88.18 47569 ld(mult(A,B),ld(A,B)) = ld(B,ld(A,ld(A,B))). [back_rewrite(28467),rewrite([47186(5),47186(8)])]. 87.96/88.18 47677 ld(mult(A,mult(mult(B,C),B)),B) = ld(B,ld(mult(mult(A,B),C),B)). [back_rewrite(14039),rewrite([47186(6),47186(10)])]. 87.96/88.18 47688 mult(mult(A,ld(B,ld(A,rd(C,A)))),A) = ld(rd(B,A),ld(A,C)). [back_rewrite(13143),rewrite([47186(9)])]. 87.96/88.18 47690 ld(A,ld(rd(B,A),C)) = mult(ld(B,rd(C,A)),A). [back_rewrite(13023),rewrite([47186(5)])]. 87.96/88.18 47749 ld(mult(A,B),B) = ld(B,ld(A,B)). [back_rewrite(5124),rewrite([47186(4),47186(6)])]. 87.96/88.18 47751 ld(A,ld(B,mult(C,A))) = mult(ld(mult(B,A),C),A). [back_rewrite(4774),rewrite([47186(5)])]. 87.96/88.18 47759 mult(ld(A,mult(mult(B,A),ld(A,C))),A) = ld(A,mult(B,mult(C,A))). [back_rewrite(2620),rewrite([47186(10)])]. 87.96/88.18 47769 rd(ld(A,B),A) = ld(A,rd(B,A)). [back_rewrite(2132),rewrite([47186(3)])]. 87.96/88.18 47774 mult(ld(A,rd(B,A)),A) = ld(A,B). [back_rewrite(2032),rewrite([47186(6)])]. 87.96/88.18 47780 ld(A,mult(B,A)) = mult(ld(A,B),A). [back_rewrite(1458),rewrite([47186(4)])]. 87.96/88.18 47823 rd(mult(mult(mult(A,B),A),C),mult(B,mult(A,C))) = A. [back_rewrite(47250),rewrite([47418(10),593(8)])]. 87.96/88.18 47824 mult(mult(mult(A,B),C),ld(mult(B,C),ld(A,B))) = B. [back_rewrite(47249),rewrite([47418(8)])]. 87.96/88.18 47838 mult(mult(A,ld(ld(B,A),C)),A) = mult(B,mult(C,A)). [back_rewrite(47039),rewrite([47418(8)])]. 87.96/88.18 47840 mult(A,ld(ld(B,A),rd(C,A))) = rd(mult(B,C),A). [back_rewrite(46991),rewrite([47418(7)])]. 87.96/88.18 47930 mult(mult(A,mult(mult(B,A),rd(C,A))),A) = mult(A,mult(B,mult(A,C))). [back_rewrite(38318),rewrite([47418(5),47418(5)]),flip(a)]. 87.96/88.18 48005 ld(ld(b,ld(c,unit)),mult(A,c)) = mult(mult(c,mult(b,A)),c). [back_rewrite(19466),rewrite([47418(13)])]. 87.96/88.18 48007 mult(mult(mult(b,c),ld(b,A)),mult(b,c)) = mult(c,mult(A,mult(b,c))). [back_rewrite(18517),rewrite([47418(18)])]. 87.96/88.18 48064 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [back_rewrite(4672),rewrite([47418(3),47418(4),47930(8)])]. 87.96/88.18 48073 rd(mult(A,mult(B,C)),B) = mult(mult(A,B),rd(C,B)). [back_rewrite(2915),rewrite([47418(3)])]. 87.96/88.18 48086 ld(mult(A,rd(B,A)),mult(A,B)) = A. [back_rewrite(2650),rewrite([47418(5)])]. 87.96/88.18 48088 mult(mult(A,B),mult(ld(B,A),B)) = mult(A,mult(A,B)). [back_rewrite(2163),rewrite([47418(6)])]. 87.96/88.18 48094 rd(mult(A,B),A) = mult(A,rd(B,A)). [back_rewrite(2044),rewrite([47418(3)])]. 87.96/88.18 48095 mult(mult(A,B),A) = mult(A,mult(B,A)). [back_rewrite(1459),rewrite([47418(4)]),flip(a)]. 87.96/88.18 48096 mult(mult(A,rd(B,C)),C) = mult(rd(A,C),mult(C,B)). [back_rewrite(719),rewrite([47418(4)]),flip(a)]. 87.96/88.18 48386 ld(rd(A,B),B) = mult(B,ld(A,B)). [back_rewrite(5066),rewrite([47425(4)])]. 87.96/88.18 48388 mult(rd(mult(b,c),A),b) = mult(c,mult(b,ld(A,b))). [back_rewrite(811),rewrite([47425(11)])]. 87.96/88.18 48392 mult(rd(A,B),mult(B,ld(C,B))) = mult(rd(A,C),B). [back_rewrite(806),rewrite([47425(3)])]. 87.96/88.18 48393 mult(A,mult(ld(A,B),ld(C,ld(A,B)))) = mult(rd(B,C),ld(A,B)). [back_rewrite(805),rewrite([47425(4)])]. 87.96/88.18 48660 mult(rd(A,mult(B,mult(B,A))),mult(B,mult(A,mult(B,A)))) = mult(ld(B,A),mult(B,A)). [back_rewrite(28332),rewrite([48064(6)])]. 87.96/88.18 48762 mult(mult(b,c),mult(ld(b,A),mult(b,c))) = mult(c,mult(A,mult(b,c))). [back_rewrite(48007),rewrite([48095(10)])]. 87.96/88.18 48763 ld(ld(b,ld(c,unit)),mult(A,c)) = mult(c,mult(mult(b,A),c)). [back_rewrite(48005),rewrite([48095(14)])]. 87.96/88.18 48784 mult(A,mult(ld(ld(B,A),C),A)) = mult(B,mult(C,A)). [back_rewrite(47838),rewrite([48095(4)])]. 87.96/88.18 48785 rd(mult(mult(A,mult(B,A)),C),mult(B,mult(A,C))) = A. [back_rewrite(47823),rewrite([48095(2)])]. 87.96/88.18 48798 mult(A,mult(ld(B,ld(A,rd(C,A))),A)) = ld(rd(B,A),ld(A,C)). [back_rewrite(47688),rewrite([48095(5)])]. 87.96/88.18 48799 ld(mult(A,mult(B,mult(C,B))),B) = ld(B,ld(mult(mult(A,B),C),B)). [back_rewrite(47677),rewrite([48095(2)])]. 87.96/88.18 48814 ld(A,mult(B,mult(C,B))) = mult(mult(ld(A,B),C),B). [back_rewrite(47422),rewrite([48095(2)])]. 87.96/88.18 48835 rd(mult(A,mult(B,A)),C) = rd(A,rd(rd(C,A),B)). [back_rewrite(46984),rewrite([48095(2)])]. 87.96/88.18 49264 ld(ld(b,c),mult(A,b)) = mult(b,mult(ld(c,A),b)). [back_rewrite(13159),rewrite([48095(12)])]. 87.96/88.18 49295 rd(rd(rd(A,B),C),B) = rd(A,mult(B,mult(C,B))). [back_rewrite(12137),rewrite([48095(5)])]. 87.96/88.18 49358 rd(mult(A,B),mult(B,mult(C,B))) = rd(rd(A,C),B). [back_rewrite(7130),rewrite([48095(3)])]. 87.96/88.18 49388 ld(rd(A,B),mult(C,B)) = mult(B,mult(ld(A,C),B)). [back_rewrite(4681),rewrite([48095(6)])]. 87.96/88.18 49403 ld(ld(A,B),A) = mult(ld(B,A),A). [back_rewrite(2125),rewrite([48095(4),12(3)]),flip(a)]. 87.96/88.18 49507 mult(mult(mult(b,c),A),b) = mult(c,mult(b,mult(A,b))). [back_rewrite(129),rewrite([48095(11)])]. 87.96/88.18 49536 mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))). [back_rewrite(15),rewrite([48095(5)])]. 87.96/88.18 49765 ld(mult(A,mult(ld(A,B),B)),mult(B,A)) = ld(B,A). [back_rewrite(29396),rewrite([49403(2)])]. 87.96/88.18 49803 mult(mult(A,B),ld(B,A)) = mult(B,mult(ld(B,A),A)). [back_rewrite(12671),rewrite([49403(5)])]. 87.96/88.18 49871 ld(mult(A,B),unit) = ld(B,ld(A,unit)). [para(46930(a,1),604(a,1,2)),flip(a)]. 87.96/88.18 49872 ld(ld(A,B),ld(C,unit)) = rd(ld(B,A),C). [para(910(a,1),46930(a,1,2)),rewrite([49871(6)]),flip(a)]. 87.96/88.18 49907 rd(mult(b,mult(b,c)),A) = rd(b,rd(rd(A,b),c)). [para(12313(a,1),46930(a,1,2)),rewrite([46931(14)]),flip(a)]. 87.96/88.18 49943 ld(ld(A,B),ld(A,ld(C,unit))) = rd(A,mult(C,mult(B,A))). [para(573(a,1),46930(a,1,2)),rewrite([47012(5),49871(8),49871(7)]),flip(a)]. 87.96/88.18 50049 ld(mult(A,B),ld(B,unit)) = ld(B,ld(A,ld(B,unit))). [back_rewrite(47336),rewrite([49871(7)])]. 87.96/88.18 50075 rd(ld(A,unit),B) = ld(A,ld(B,unit)). [back_rewrite(47062),rewrite([49871(6)])]. 87.96/88.18 50091 ld(ld(A,B),rd(B,mult(A,mult(A,B)))) = ld(B,ld(A,unit)). [back_rewrite(28338),rewrite([49871(8)])]. 87.96/88.18 50162 rd(A,rd(B,C)) = mult(A,rd(C,B)). [para(46931(a,1),593(a,1,2)),flip(a)]. 87.96/88.18 50167 rd(mult(A,ld(B,A)),C) = rd(A,mult(rd(C,A),B)). [para(2171(a,1),46931(a,1,1)),rewrite([49871(5),49872(5),48386(2)])]. 87.96/88.18 50170 rd(mult(A,B),mult(C,B)) = rd(B,mult(C,ld(A,B))). [para(5097(a,1),46931(a,1,1)),rewrite([46931(5)])]. 87.96/88.18 50180 ld(mult(ld(A,B),B),ld(A,unit)) = rd(A,mult(B,mult(B,A))). [para(21838(a,1),46931(a,2)),rewrite([911(3),49803(3),49871(5)])]. 87.96/88.18 50263 rd(mult(b,mult(b,c)),A) = mult(b,mult(c,rd(b,A))). [back_rewrite(49907),rewrite([50162(12),50162(11)])]. 87.96/88.18 50276 rd(mult(A,mult(B,A)),C) = mult(A,mult(B,rd(A,C))). [back_rewrite(48835),rewrite([50162(6),50162(5)])]. 87.96/88.18 50449 ld(rd(c,mult(b,ld(A,c))),b) = mult(rd(rd(b,A),c),mult(b,c)). [back_rewrite(38495),rewrite([50170(6)])]. 87.96/88.18 50484 rd(mult(A,ld(B,C)),C) = rd(C,mult(B,ld(A,C))). [back_rewrite(5097),rewrite([50170(6)])]. 87.96/88.18 51204 mult(mult(A,B),ld(B,ld(C,unit))) = rd(B,mult(C,ld(A,B))). [para(47077(a,1),556(a,1,2,2)),rewrite([50484(8)])]. 87.96/88.18 51210 mult(mult(A,ld(mult(B,A),C)),ld(C,A)) = ld(B,A). [para(47077(a,1),7386(a,1,1)),rewrite([47186(3),4679(4)]),flip(a)]. 87.96/88.18 51217 mult(A,mult(ld(A,B),B)) = mult(B,B). [para(47077(a,1),12478(a,1,1)),rewrite([48814(5),28(5),48073(6),23(5),9(6),47418(5)])]. 87.96/88.18 51256 ld(mult(A,B),rd(B,C)) = ld(B,rd(ld(A,B),C)). [para(2054(a,1),47077(a,1,1)),rewrite([50075(5),49871(4),49872(4),49871(8),46931(7)]),flip(a)]. 87.96/88.18 51261 rd(A,mult(B,mult(B,A))) = ld(B,ld(B,unit)). [para(47077(a,1),4197(a,1,2)),rewrite([48814(3),28(3),48073(4),23(3),9(4),50180(5)])]. 87.96/88.18 51280 ld(ld(A,B),rd(B,C)) = ld(B,rd(mult(A,B),C)). [para(20313(a,1),47077(a,1,1)),rewrite([50162(5),47186(5),49871(8),46931(7)]),flip(a)]. 87.96/88.18 51296 ld(b,mult(A,ld(b,c))) = mult(ld(b,rd(A,b)),c). [para(40748(a,1),47077(a,1,1)),rewrite([911(8),24(7),49871(14),46931(13),911(11)]),flip(a)]. 87.96/88.18 51337 ld(mult(A,A),mult(A,B)) = ld(A,B). [back_rewrite(49765),rewrite([51217(3)])]. 87.96/88.18 51371 rd(A,mult(A,mult(B,A))) = ld(B,ld(A,unit)). [back_rewrite(50091),rewrite([51261(4),49943(5)])]. 87.96/88.18 51380 mult(ld(A,ld(A,unit)),mult(A,mult(B,mult(A,B)))) = mult(ld(A,B),mult(A,B)). [back_rewrite(48660),rewrite([51261(3)])]. 87.96/88.18 51410 rd(ld(A,B),mult(A,B)) = ld(A,ld(A,unit)). [back_rewrite(21838),rewrite([51261(6)])]. 87.96/88.18 51438 mult(ld(A,B),ld(B,C)) = mult(B,ld(mult(A,B),C)). [para(47186(a,1),134(a,1,1)),rewrite([4679(3),47186(6)]),flip(a)]. 87.96/88.18 51439 ld(ld(A,B),C) = mult(ld(B,A),C). [para(816(a,1),47186(a,1,1)),flip(a)]. 87.96/88.18 51450 mult(ld(A,ld(B,unit)),mult(C,B)) = mult(ld(A,ld(B,C)),B). [para(47186(a,1),276(a,1,1)),rewrite([50075(6)]),flip(a)]. 87.96/88.18 51462 mult(ld(A,ld(A,unit)),B) = ld(mult(A,A),B). [para(917(a,1),47186(a,1,1)),rewrite([593(5),47769(3),720(2),24(6)])]. 87.96/88.18 51463 rd(mult(ld(A,ld(B,unit)),C),B) = ld(A,ld(B,rd(C,B))). [para(47186(a,1),2171(a,2)),rewrite([50075(3)])]. 87.96/88.18 51465 mult(A,ld(mult(B,A),ld(C,unit))) = rd(ld(B,ld(C,A)),A). [para(47186(a,1),4679(a,1,1,2)),flip(a)]. 87.96/88.18 51466 mult(mult(A,B),ld(B,C)) = mult(B,mult(ld(B,A),C)). [para(47186(a,1),4679(a,2,2,1)),rewrite([51439(4),24(2),134(3),51439(5)])]. 87.96/88.18 51513 ld(A,rd(mult(B,C),A)) = mult(ld(A,B),rd(C,A)). [para(47186(a,1),13127(a,1,1)),rewrite([51439(3),51439(6),24(5)]),flip(a)]. 87.96/88.18 51737 ld(rd(A,B),C) = mult(rd(B,A),C). [para(46931(a,1),47186(a,1,1)),flip(a)]. 87.96/88.18 51777 ld(A,rd(mult(B,A),C)) = mult(ld(A,B),rd(A,C)). [back_rewrite(51280),rewrite([51439(3)]),flip(a)]. 87.96/88.18 51816 rd(ld(A,ld(B,C)),C) = rd(C,mult(B,mult(A,C))). [back_rewrite(49943),rewrite([51439(5),51438(5),51465(5)])]. 87.96/88.18 51847 mult(ld(c,b),mult(A,b)) = mult(b,mult(ld(c,A),b)). [back_rewrite(49264),rewrite([51439(6)])]. 87.96/88.18 51874 mult(A,mult(mult(ld(A,B),C),A)) = mult(B,mult(C,A)). [back_rewrite(48784),rewrite([51439(2)])]. 87.96/88.18 51878 mult(mult(b,c),mult(A,c)) = mult(c,mult(mult(b,A),c)). [back_rewrite(48763),rewrite([51439(8),51439(5),24(3),126(3)])]. 87.96/88.18 51927 mult(A,mult(ld(A,B),rd(C,A))) = rd(mult(B,C),A). [back_rewrite(47840),rewrite([51439(3)])]. 87.96/88.18 51955 mult(ld(A,rd(B,A)),mult(A,C)) = ld(A,mult(B,C)). [back_rewrite(47436),rewrite([51439(3),48096(4),47769(2)])]. 87.96/88.18 51985 rd(mult(ld(c,b),A),b) = mult(b,ld(c,rd(A,b))). [back_rewrite(39847),rewrite([51439(4)])]. 87.96/88.18 52074 mult(mult(ld(A,B),A),B) = mult(ld(A,B),mult(A,B)). [back_rewrite(51380),rewrite([51462(7),51337(5),48814(3)])]. 87.96/88.18 52115 rd(A,mult(B,ld(C,A))) = mult(A,rd(ld(A,C),B)). [back_rewrite(51204),rewrite([51466(5),593(4)]),flip(a)]. 87.96/88.18 52185 ld(A,mult(B,mult(C,A))) = mult(mult(ld(A,B),C),A). [back_rewrite(47759),rewrite([51466(3),14(4)]),flip(a)]. 87.96/88.18 52301 rd(mult(A,mult(B,C)),C) = mult(C,mult(ld(C,A),B)). [back_rewrite(134),rewrite([51466(6)])]. 87.96/88.18 52322 ld(mult(c,rd(ld(c,A),b)),b) = mult(rd(rd(b,A),c),mult(b,c)). [back_rewrite(50449),rewrite([52115(6)])]. 87.96/88.18 52489 mult(rd(A,B),mult(C,A)) = mult(A,mult(ld(B,C),A)). [back_rewrite(49388),rewrite([51737(3)])]. 87.96/88.18 52571 mult(A,mult(ld(B,ld(A,rd(C,A))),A)) = mult(rd(A,B),ld(A,C)). [back_rewrite(48798),rewrite([51737(8)])]. 87.96/88.18 52637 ld(A,mult(rd(A,B),C)) = mult(ld(B,rd(C,A)),A). [back_rewrite(47690),rewrite([51737(2)])]. 87.96/88.18 52841 rd(mult(rd(A,B),C),A) = mult(A,ld(B,rd(C,A))). [back_rewrite(13386),rewrite([51737(2)])]. 87.96/88.18 52957 rd(mult(A,ld(B,C)),C) = mult(C,rd(ld(C,A),B)). [back_rewrite(50484),rewrite([52115(6)])]. 87.96/88.18 52993 rd(mult(A,B),mult(C,B)) = mult(B,rd(ld(B,A),C)). [back_rewrite(50170),rewrite([52115(6)])]. 87.96/88.18 53644 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(47425(a,1),276(a,2)),rewrite([51466(3),51217(3),47780(5),48088(6)])]. 87.96/88.18 53660 ld(mult(A,A),B) = ld(A,ld(A,B)). [para(47425(a,1),7386(a,2)),rewrite([51410(3),51462(4),51438(6),47569(5),12(6)])]. 87.96/88.18 54414 mult(A,mult(ld(A,B),A)) = mult(B,A). [para(47780(a,1),12(a,1,2))]. 87.96/88.18 54415 mult(A,mult(ld(A,ld(B,A)),B)) = mult(ld(B,A),B). [para(12(a,1),47780(a,1,2)),rewrite([51439(2),51439(4),51466(6)]),flip(a)]. 87.96/88.18 54518 rd(rd(A,B),A) = rd(A,mult(A,B)). [para(48086(a,1),47077(a,1,1)),rewrite([49871(6),51737(6),593(6)]),flip(a)]. 87.96/88.18 54765 mult(A,ld(B,ld(C,unit))) = rd(A,mult(C,B)). [para(49871(a,1),593(a,1,2))]. 87.96/88.18 54781 ld(A,rd(ld(B,ld(C,unit)),A)) = ld(A,ld(mult(C,B),ld(A,unit))). [para(49871(a,1),13127(a,2,2,1)),rewrite([720(4),50049(5)]),flip(a)]. 87.96/88.18 54800 mult(ld(A,ld(B,unit)),C) = ld(mult(B,A),C). [para(49871(a,1),47186(a,1,1))]. 87.96/88.18 54927 rd(ld(mult(A,B),C),A) = ld(B,ld(A,rd(C,A))). [back_rewrite(51463),rewrite([54800(4)])]. 87.96/88.18 54928 ld(mult(A,B),mult(C,A)) = mult(ld(B,ld(A,C)),A). [back_rewrite(51450),rewrite([54800(5)])]. 87.96/88.18 55020 mult(ld(A,ld(B,ld(C,unit))),B) = ld(mult(B,A),ld(C,B)). [para(50075(a,1),7386(a,1,1)),rewrite([49871(3),50075(8),54800(10)])]. 87.96/88.18 55021 ld(mult(A,B),ld(C,ld(B,unit))) = ld(B,ld(mult(C,A),ld(B,unit))). [para(50075(a,1),13127(a,1,2)),rewrite([54781(10)])]. 87.96/88.18 55034 rd(ld(A,ld(B,unit)),C) = ld(mult(B,A),ld(C,unit)). [para(49871(a,1),50075(a,1,1))]. 87.96/88.18 55182 rd(A,mult(B,rd(C,D))) = mult(A,rd(rd(D,C),B)). [para(50162(a,1),50162(a,1,2))]. 87.96/88.18 55352 rd(A,mult(ld(B,C),D)) = mult(A,ld(D,ld(C,B))). [para(51439(a,1),911(a,1,2))]. 87.96/88.18 55385 ld(mult(ld(A,B),C),D) = mult(ld(C,ld(B,A)),D). [para(51439(a,1),51439(a,1,1))]. 87.96/88.18 55628 rd(A,mult(rd(B,C),D)) = mult(A,ld(D,rd(C,B))). [para(51737(a,1),911(a,1,2))]. 87.96/88.18 55629 ld(mult(A,ld(B,C)),D) = mult(rd(ld(C,B),A),D). [para(911(a,1),51737(a,1,1))]. 87.96/88.18 55661 ld(mult(A,rd(B,C)),D) = mult(rd(rd(C,B),A),D). [para(50162(a,1),51737(a,1,1))]. 87.96/88.18 55696 rd(mult(A,ld(B,A)),C) = mult(A,ld(B,rd(A,C))). [back_rewrite(50167),rewrite([55628(6)])]. 87.96/88.18 56022 mult(mult(c,rd(ld(c,b),A)),b) = mult(rd(rd(b,A),c),mult(b,c)). [back_rewrite(52322),rewrite([55661(8),911(4),52957(6)])]. 87.96/88.18 56684 rd(A,mult(A,mult(B,mult(B,A)))) = ld(B,ld(B,ld(A,unit))). [para(51261(a,1),54518(a,1,1)),rewrite([55034(4),53660(4)]),flip(a)]. 87.96/88.18 57159 mult(A,ld(B,ld(C,ld(D,unit)))) = rd(A,mult(mult(D,C),B)). [para(49871(a,1),54765(a,1,2,2))]. 87.96/88.18 57209 mult(ld(A,ld(B,ld(C,unit))),D) = ld(mult(mult(C,B),A),D). [para(49871(a,1),54800(a,1,1,2))]. 87.96/88.18 57228 ld(mult(mult(A,B),C),B) = ld(mult(B,C),ld(A,B)). [back_rewrite(55020),rewrite([57209(5)])]. 87.96/88.18 57239 ld(mult(A,mult(B,mult(C,B))),B) = ld(B,ld(mult(B,C),ld(A,B))). [back_rewrite(48799),rewrite([57228(7)])]. 87.96/88.18 57566 mult(A,mult(rd(ld(A,B),C),B)) = mult(B,ld(C,B)). [para(47429(a,1),12(a,1,2))]. 87.96/88.18 57606 mult(A,mult(mult(rd(ld(A,B),C),B),A)) = mult(mult(B,ld(C,B)),A). [para(47429(a,1),54414(a,1,2,1))]. 87.96/88.18 57754 mult(A,mult(ld(mult(B,A),C),A)) = ld(B,mult(C,A)). [para(47751(a,1),12(a,1,2))]. 87.96/88.18 57876 mult(A,mult(ld(A,B),mult(A,C))) = mult(mult(B,A),C). [para(47824(a,1),11(a,1,1)),rewrite([911(4),51439(3)])]. 87.96/88.18 57960 rd(A,mult(B,mult(A,mult(C,A)))) = ld(C,ld(A,ld(B,unit))). [para(47824(a,1),46930(a,1,2)),rewrite([51816(4),48095(2),49871(8),49871(7)])]. 87.96/88.18 58299 ld(mult(A,B),mult(A,C)) = mult(ld(B,rd(C,A)),A). [para(47186(a,1),48096(a,1,1)),rewrite([50075(6),54800(8)]),flip(a)]. 87.96/88.18 58815 mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))). [para(48785(a,1),13(a,1,1)),flip(a)]. 87.96/88.18 59026 mult(A,mult(mult(ld(A,B),C),B)) = mult(B,mult(C,B)). [para(48814(a,1),12(a,1,2))]. 87.96/88.18 59068 mult(A,mult(mult(mult(ld(A,B),C),B),A)) = mult(B,mult(C,mult(B,A))). [para(48814(a,1),54414(a,1,2,1)),rewrite([58815(8)])]. 87.96/88.18 59311 rd(b,mult(mult(b,c),mult(A,mult(b,c)))) = ld(c,ld(mult(b,A),ld(c,unit))). [para(17042(a,1),49295(a,1,1,1)),rewrite([50075(4),55034(8),49871(7),18178(7),55021(8)]),flip(a)]. 87.96/88.18 59434 mult(mult(A,B),mult(ld(mult(C,B),ld(B,A)),B)) = mult(rd(rd(A,C),B),mult(A,B)). [para(49358(a,1),47425(a,1,1)),rewrite([54928(9)]),flip(a)]. 87.96/88.18 59435 rd(rd(rd(A,B),C),A) = rd(A,mult(mult(A,C),B)). [para(47425(a,1),49358(a,1,1)),rewrite([55696(5),51371(3),57159(5)]),flip(a)]. 87.96/88.18 59959 rd(rd(b,A),mult(b,c)) = rd(b,mult(c,mult(b,A))). [para(50263(a,1),49358(a,1)),rewrite([59311(12),12(11),54765(8)]),flip(a)]. 87.96/88.18 60008 mult(mult(A,B),ld(A,C)) = mult(A,mult(rd(B,A),C)). [para(47774(a,1),50276(a,2,2)),rewrite([50162(3),51737(4),58815(5),13(3),52489(3),48073(5),11(4),51737(5)])]. 87.96/88.18 60021 mult(mult(A,B),rd(A,B)) = mult(A,mult(B,rd(A,B))). [para(50276(a,1),48073(a,1)),flip(a)]. 87.96/88.18 60243 mult(mult(A,ld(B,C)),ld(C,A)) = mult(A,ld(B,A)). [para(13(a,1),51210(a,1,1,2,1)),rewrite([51737(6),47425(6)])]. 87.96/88.18 60248 mult(ld(A,B),mult(A,ld(mult(B,A),C))) = ld(A,C). [para(51210(a,1),594(a,1,1)),rewrite([51439(5),51439(8),9(8)])]. 87.96/88.18 60313 ld(mult(mult(b,c),A),b) = ld(mult(b,A),ld(c,b)). [para(49507(a,1),51210(a,1,1,2,1)),rewrite([60243(12),57239(9),12(10)]),flip(a)]. 87.96/88.18 60414 ld(mult(A,B),mult(rd(A,C),ld(B,A))) = ld(B,ld(C,ld(B,A))). [para(51371(a,1),51256(a,2,2)),rewrite([55352(6),55629(5),47425(5),48393(6),51439(8),9(8)])]. 87.96/88.18 60530 mult(ld(A,ld(b,ld(b,c))),b) = ld(mult(b,A),c). [para(54518(a,1),51296(a,2,1,2)),rewrite([52637(8),47769(5),9337(4),604(14),49871(12),54800(14)])]. 87.96/88.18 60592 mult(ld(A,ld(B,C)),mult(ld(C,B),D)) = mult(ld(B,C),mult(rd(ld(C,B),A),D)). [para(51439(a,1),51438(a,1,2)),rewrite([55629(9)])]. 87.96/88.18 60730 mult(mult(A,B),mult(ld(mult(C,B),D),B)) = mult(B,mult(ld(B,A),ld(C,mult(D,B)))). [para(47751(a,1),51466(a,1,2))]. 87.96/88.18 60855 mult(A,mult(ld(A,B),ld(C,mult(ld(A,B),A)))) = mult(rd(rd(B,C),A),mult(B,A)). [back_rewrite(59434),rewrite([60730(6)])]. 87.96/88.18 60956 rd(ld(A,B),mult(A,C)) = ld(A,rd(rd(B,C),A)). [para(593(a,1),51513(a,1,2,1)),rewrite([50075(7),54765(8)]),flip(a)]. 87.96/88.18 61291 rd(mult(A,B),mult(C,A)) = mult(A,rd(rd(B,A),C)). [para(593(a,1),51777(a,1,2,1)),rewrite([51439(5),24(2),51439(6),24(5),50075(7),54765(8)]),flip(a)]. 87.96/88.18 61383 ld(mult(mult(A,B),C),A) = ld(A,rd(rd(A,C),B)). [para(593(a,1),51816(a,2,2,2)),rewrite([911(7),24(6),57209(5),55182(8),47186(8)])]. 87.96/88.18 61456 ld(mult(b,A),ld(c,b)) = ld(b,rd(rd(b,A),c)). [back_rewrite(60313),rewrite([61383(6)]),flip(a)]. 87.96/88.18 61485 mult(ld(c,b),ld(A,b)) = mult(b,ld(mult(A,c),b)). [para(47186(a,1),51847(a,1,2)),rewrite([54800(13)])]. 87.96/88.18 61530 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [para(14(a,1),51874(a,1,2,1,1)),flip(a)]. 87.96/88.18 61535 mult(c,mult(ld(c,A),mult(b,c))) = mult(mult(A,c),b). [para(9120(a,1),51874(a,2)),rewrite([13387(9),47774(11),48762(12)])]. 87.96/88.18 61544 mult(mult(A,B),ld(C,mult(A,B))) = mult(A,mult(B,mult(ld(C,A),B))). [para(47425(a,1),51874(a,2)),rewrite([51777(3),59068(6),52489(3)]),flip(a)]. 87.96/88.18 61645 mult(mult(b,c),mult(A,mult(A,c))) = mult(c,mult(mult(b,mult(A,A)),c)). [para(53644(a,1),51878(a,1,2))]. 87.96/88.18 61728 rd(mult(mult(A,B),C),A) = mult(A,mult(B,rd(C,A))). [para(14(a,1),51927(a,1,2,1)),flip(a)]. 87.96/88.18 61730 mult(rd(A,B),ld(C,A)) = mult(A,ld(mult(C,B),A)). [para(51927(a,1),594(a,1,1)),rewrite([51737(3),47425(3),49871(8),51439(7),9(7),51737(6)]),flip(a)]. 87.96/88.18 61763 ld(mult(A,mult(B,A)),C) = ld(A,ld(B,ld(A,C))). [back_rewrite(60414),rewrite([61730(4),47429(5),594(2),60956(4),720(2),50075(3),57209(5),48095(2)])]. 87.96/88.18 61900 ld(A,mult(B,ld(A,C))) = mult(ld(A,rd(B,A)),C). [para(12(a,1),51955(a,1,2)),flip(a)]. 87.96/88.18 61917 mult(ld(c,ld(c,b)),mult(c,A)) = ld(c,mult(b,A)). [para(16987(a,1),51955(a,1,1,2))]. 87.96/88.18 61936 ld(mult(A,B),mult(B,C)) = ld(B,mult(ld(A,B),C)). [para(47077(a,1),51955(a,1,1,2)),rewrite([54800(5)])]. 87.96/88.18 62171 mult(ld(A,mult(B,C)),ld(B,A)) = mult(ld(A,B),mult(rd(C,B),A)). [para(48392(a,1),52185(a,1,2)),rewrite([51439(4),51439(7),48096(8),47769(6),51955(8)]),flip(a)]. 87.96/88.18 62210 mult(mult(A,B),ld(C,A)) = mult(A,mult(rd(B,C),A)). [para(47425(a,1),52301(a,1,1)),rewrite([61544(4),48073(5),11(4),51777(6),59026(8)])]. 87.96/88.18 62257 mult(c,mult(ld(A,ld(c,b)),c)) = mult(rd(c,A),b). [para(16971(a,1),52489(a,1,2)),flip(a)]. 87.96/88.18 62258 mult(b,mult(ld(mult(b,c),A),b)) = ld(c,mult(A,b)). [para(17042(a,1),52489(a,1,1)),rewrite([47186(6)]),flip(a)]. 87.96/88.18 62309 mult(ld(A,ld(B,rd(C,B))),B) = ld(mult(B,A),C). [para(47769(a,1),52637(a,2,1,2)),rewrite([61900(4),54518(2),604(3),49871(3),54800(4)]),flip(a)]. 87.96/88.18 62325 mult(rd(A,B),ld(A,C)) = mult(A,ld(mult(A,B),C)). [back_rewrite(52571),rewrite([62309(4)]),flip(a)]. 87.96/88.18 62437 mult(mult(A,ld(B,A)),C) = mult(A,ld(B,mult(A,C))). [para(52993(a,1),47425(a,1,1)),rewrite([61530(5),57606(5),61544(8),57754(7)])]. 87.96/88.18 62439 mult(rd(rd(b,A),c),mult(b,c)) = mult(c,mult(b,ld(mult(A,c),b))). [para(52993(a,1),48388(a,1,1)),rewrite([56022(8)])]. 87.96/88.18 62554 mult(rd(A,B),mult(B,ld(A,ld(B,A)))) = ld(B,A). [para(604(a,1),54415(a,1,2,1,2)),rewrite([51737(5),593(5),54518(3),7386(4),62325(4),47749(3),604(7),47186(8)])]. 87.96/88.18 63432 mult(rd(rd(A,B),C),mult(A,C)) = mult(A,mult(ld(B,ld(C,A)),C)). [para(51371(a,1),57566(a,1,2,1)),rewrite([51439(3),9(3),61763(9),51439(7),51439(9),60855(10)]),flip(a)]. 87.96/88.18 63436 mult(c,mult(b,ld(mult(A,c),b))) = mult(b,mult(ld(A,ld(c,b)),c)). [back_rewrite(62439),rewrite([63432(8)]),flip(a)]. 87.96/88.18 63712 mult(A,B) = mult(B,A) | mult(mult(A,C),B) = mult(A,mult(C,B)). [para(10553(a,1),58815(a,2,2)),rewrite([13(5)])]. 87.96/88.18 63721 rd(A,mult(A,mult(B,mult(C,mult(B,A))))) = ld(B,ld(C,ld(B,ld(A,unit)))). [para(58815(a,1),51371(a,1,2,2)),rewrite([61763(10)])]. 87.96/88.18 63924 mult(mult(A,rd(B,C)),rd(C,mult(mult(C,A),B))) = ld(C,unit). [para(59435(a,1),604(a,1,2)),rewrite([51737(6),50162(2)])]. 87.96/88.18 64084 mult(ld(A,mult(B,C)),ld(C,D)) = mult(C,mult(ld(mult(A,C),B),D)). [para(57754(a,1),60008(a,1,1)),rewrite([11(8)])]. 87.96/88.18 64149 mult(ld(A,ld(B,C)),ld(C,D)) = mult(C,ld(mult(B,mult(A,C)),D)). [para(60248(a,1),58299(a,1,2)),rewrite([55385(4),911(9),62210(9),54927(7),54414(9),64084(10),62309(9)])]. 87.96/88.18 64167 ld(c,mult(b,mult(A,ld(b,c)))) = mult(ld(c,b),mult(rd(A,b),c)). [para(60530(a,1),22488(a,1,1)),rewrite([51439(8),62171(8),51439(17),51439(15),51439(14),15985(14),62437(15),276(17),16987(12),51985(19),61728(17),9337(15),14(20)]),flip(a)]. 87.96/88.18 64372 rd(mult(A,mult(B,C)),mult(D,C)) = mult(C,rd(mult(ld(C,A),B),D)). [para(51874(a,1),61291(a,1,1)),rewrite([11(8)])]. 87.96/88.18 64454 mult(ld(A,B),mult(A,mult(ld(A,C),B))) = mult(mult(ld(A,B),C),B). [para(12(a,1),61530(a,1,2)),rewrite([51466(7)]),flip(a)]. 87.96/88.18 64683 mult(mult(A,ld(B,ld(B,A))),C) = mult(A,ld(B,ld(B,mult(A,C)))). [para(53660(a,1),62437(a,1,1,2)),rewrite([53660(7)])]. 87.96/88.18 64697 mult(rd(A,mult(A,B)),mult(A,rd(B,mult(B,A)))) = ld(B,unit). [para(594(a,1),62554(a,1,2,2,2)),rewrite([54765(7),61291(5),54518(4),594(8)])]. 87.96/88.18 65989 mult(A,ld(B,ld(C,ld(D,ld(E,unit))))) = rd(A,mult(mult(mult(E,D),C),B)). [para(49871(a,1),57159(a,1,2,2,2))]. 87.96/88.18 67271 mult(mult(b,rd(A,c)),rd(c,mult(mult(b,c),A))) = ld(c,unit). [para(126(a,1),63924(a,1,2,2,1))]. 87.96/88.18 67820 mult(c,a) = mult(a,c). [resolve(63712,b,21,a),flip(a)]. 87.96/88.18 67822 mult(b,a) = mult(a,b). [para(63712(b,1),107(a,1)),rewrite([126(11)]),flip(a),xx(b)]. 87.96/88.18 67830 mult(a,rd(c,a)) = c. [para(67820(a,1),11(a,1,1)),rewrite([48094(5)])]. 87.96/88.18 67831 mult(ld(c,a),c) = a. [para(67820(a,1),14(a,1,2)),rewrite([47780(5)])]. 87.96/88.18 67845 mult(ld(a,c),a) = c. [para(67820(a,1),47780(a,1,2)),rewrite([14(5)]),flip(a)]. 87.96/88.18 67847 mult(c,mult(a,c)) = mult(a,mult(c,c)). [para(67820(a,1),48095(a,1,1)),rewrite([28(5)]),flip(a)]. 87.96/88.18 67848 ld(c,ld(a,unit)) = ld(a,ld(c,unit)). [para(67820(a,1),49871(a,1,1)),rewrite([49871(5)])]. 87.96/88.18 67863 mult(mult(mult(a,c),A),a) = mult(c,mult(a,mult(A,a))). [para(67820(a,1),49536(a,1,1,1))]. 87.96/88.18 67866 rd(mult(a,mult(a,c)),A) = mult(a,mult(c,rd(a,A))). [para(67820(a,1),50276(a,1,1,2))]. 87.96/88.18 67921 ld(mult(A,c),mult(a,c)) = ld(c,mult(ld(A,c),a)). [para(67820(a,1),61936(a,1,2))]. 87.96/88.18 67938 rd(a,mult(A,mult(a,mult(a,c)))) = ld(c,ld(a,ld(A,unit))). [para(67820(a,1),57960(a,1,2,2,2))]. 87.96/88.18 67982 mult(a,rd(b,a)) = b. [para(67822(a,1),11(a,1,1)),rewrite([48094(5)])]. 87.96/88.18 67983 mult(ld(b,a),b) = a. [para(67822(a,1),14(a,1,2)),rewrite([47780(5)])]. 87.96/88.18 67984 mult(b,mult(a,a)) = mult(a,mult(a,b)). [para(67822(a,1),28(a,1,1)),rewrite([48095(5),67822(4)]),flip(a)]. 87.96/88.18 67997 mult(ld(a,b),a) = b. [para(67822(a,1),47780(a,1,2)),rewrite([14(5)]),flip(a)]. 87.96/88.18 68016 mult(mult(mult(a,b),A),a) = mult(b,mult(a,mult(A,a))). [para(67822(a,1),49536(a,1,1,1))]. 87.96/88.18 68019 rd(mult(a,mult(a,b)),A) = mult(a,mult(b,rd(a,A))). [para(67822(a,1),50276(a,1,1,2))]. 87.96/88.18 68027 mult(ld(b,a),mult(a,b)) = mult(a,a). [para(67822(a,1),52074(a,2,2)),rewrite([67983(5)]),flip(a)]. 87.96/88.18 68051 mult(mult(a,mult(a,b)),A) = mult(a,mult(b,mult(a,A))). [para(67822(a,1),58815(a,1,1,2))]. 87.96/88.18 68069 rd(mult(mult(a,b),A),b) = mult(b,mult(a,rd(A,b))). [para(67822(a,1),61728(a,1,1,1))]. 87.96/88.18 68132 rd(c,a) = ld(a,c). [para(67830(a,1),14(a,1,2)),flip(a)]. 87.96/88.18 68155 mult(c,mult(a,ld(c,a))) = mult(a,a). [para(67830(a,1),60021(a,1,1)),rewrite([68132(5),911(6),68132(11),68132(15),911(16),57876(18),67820(10),51466(14),51217(14)])]. 87.96/88.18 68174 rd(a,c) = ld(c,a). [para(67830(a,1),64697(a,1,1,2)),rewrite([68132(7),68132(10),67845(12),47077(9),12(8),9(5),68132(6),51439(8),9(8)])]. 87.96/88.18 68186 mult(ld(c,a),a) = mult(a,ld(c,a)). [para(67831(a,1),48095(a,1,1)),rewrite([12(13)]),flip(a)]. 87.96/88.18 68245 rd(c,mult(a,a)) = ld(a,ld(a,c)). [para(67831(a,1),56684(a,1,2,2,2)),rewrite([68186(7),68155(8),51439(15),593(15),47077(13),51439(12),593(12),47769(10),68132(9)])]. 87.96/88.18 68327 rd(b,a) = ld(a,b). [para(67982(a,1),14(a,1,2)),flip(a)]. 87.96/88.18 68330 mult(ld(a,b),b) = mult(b,ld(a,b)). [para(67982(a,1),48095(a,2,2)),rewrite([68327(3),67997(5),68327(4),68327(8)]),flip(a)]. 87.96/88.18 68334 mult(a,mult(b,ld(a,b))) = mult(b,b). [para(67982(a,1),48064(a,1,1)),rewrite([68327(5),12(6),68327(7),68327(11),12(12),68330(9)]),flip(a)]. 87.96/88.18 68369 rd(a,b) = ld(b,a). [para(67982(a,1),64697(a,1,1,2)),rewrite([68327(7),68327(10),67997(12),47077(9),12(8),9(5),68327(6),51439(8),9(8)])]. 87.96/88.18 68682 rd(mult(ld(a,b),A),b) = mult(b,ld(a,rd(A,b))). [para(68327(a,1),52841(a,1,1,1))]. 87.96/88.18 68740 mult(ld(b,a),mult(b,mult(b,c))) = mult(mult(a,c),b). [para(68369(a,1),9120(a,1,1))]. 87.96/88.18 68960 mult(mult(a,mult(c,c)),A) = mult(c,mult(a,mult(c,A))). [para(67847(a,1),58815(a,1,1))]. 87.96/88.18 69142 mult(ld(b,a),mult(b,mult(b,A))) = mult(a,mult(a,mult(ld(a,b),A))). [para(68027(a,1),60008(a,1,1)),rewrite([51439(7),53644(8),911(18),60008(18),68327(15),68330(17),68334(18),53644(15)]),flip(a)]. 87.96/88.18 69154 mult(a,mult(a,mult(ld(a,b),c))) = mult(mult(a,c),b). [back_rewrite(68740),rewrite([69142(9)])]. 87.96/88.18 69827 mult(c,mult(a,mult(a,b))) = mult(b,mult(a,mult(a,c))). [para(7687(b,1),67863(a,1,1)),rewrite([68016(18),67820(16),67822(23)]),flip(b),unit_del(a,107)]. 87.96/88.18 69866 mult(a,rd(b,mult(mult(a,b),c))) = ld(c,unit). [para(67866(a,1),67271(a,1,1,2)),rewrite([68174(6),12(7),67984(5),61645(15),67984(12),68051(14),63721(16),65989(15),67820(8),67863(12),67822(10),69827(12),68019(13),67938(11),57159(10),67822(5)])]. 87.96/88.18 69867 mult(ld(c,b),mult(ld(b,a),c)) = a. [para(69866(a,1),11(a,1,1)),rewrite([50162(11),68069(10),9337(8),47186(11),64167(9),68369(6)])]. 87.96/88.18 69913 mult(ld(b,c),a) = mult(ld(b,a),c). [para(69867(a,1),14(a,1,2)),rewrite([51439(5)])]. 87.96/88.18 69914 ld(c,ld(a,b)) = ld(a,ld(c,b)). [para(69867(a,1),594(a,1,1)),rewrite([49871(12),51439(11),9(11)]),flip(a)]. 87.96/88.18 69916 mult(b,ld(c,ld(b,a))) = ld(c,a). [para(69867(a,1),18167(a,1,1)),rewrite([68174(3),11(12)]),flip(a)]. 87.96/88.18 69919 ld(c,mult(a,b)) = mult(a,ld(c,b)). [para(69867(a,1),48095(a,1,1)),rewrite([51466(17),64454(18),51438(12),126(9),48095(14),62258(14)]),flip(a)]. 87.96/88.18 69922 mult(b,mult(ld(c,ld(c,b)),mult(ld(b,a),c))) = mult(ld(c,b),a). [para(69867(a,1),53644(a,2,2)),rewrite([61485(7),53660(6),64683(13),52185(11),51438(9),126(6),4714(11),16987(5),51438(11),126(6),67921(10),69913(9),47780(10),52185(12),276(12),47769(6),16987(5)])]. 87.96/88.18 69930 mult(b,ld(a,ld(b,c))) = ld(a,c). [para(69867(a,1),51816(a,2,2)),rewrite([51439(8),17744(8),47429(9),51439(5),68682(7),9337(5),11(11),68132(10)])]. 87.96/88.18 69938 mult(c,mult(a,b)) = mult(a,mult(b,c)). [para(69867(a,1),59026(a,1,2,1)),rewrite([51874(14),126(9)])]. 87.96/88.18 70014 mult(c,ld(a,ld(c,b))) = ld(a,b). [para(69914(a,1),12(a,1,2))]. 87.96/88.18 70019 mult(ld(a,c),b) = mult(ld(a,b),c). [para(69914(a,1),54414(a,1,2,1)),rewrite([62257(9),68132(3)])]. 87.96/88.18 70061 ld(c,ld(b,a)) = ld(b,ld(c,a)). [para(69916(a,1),14(a,1,2)),flip(a)]. 87.96/88.18 70062 mult(c,mult(ld(b,ld(c,a)),b)) = a. [para(69916(a,1),65(a,2,2)),rewrite([70061(6),12(14),70061(17),67983(25)]),merge(b)]. 87.96/88.18 70074 mult(c,rd(b,mult(a,c))) = ld(a,b). [para(69916(a,1),59959(a,2,2,2)),rewrite([70061(6),911(7),51439(6),70019(6),64372(11),61485(8),48094(10),47077(9),49871(7),67848(7),54765(8),67820(5),12(13),68327(10)])]. 87.96/88.18 70075 mult(ld(a,ld(c,b)),c) = mult(c,ld(mult(a,c),b)). [para(69916(a,1),61456(a,1,1)),rewrite([51439(7),51438(7),70061(14),911(15),51439(14),70019(14),52301(17),61485(16),63436(17),14(18)]),flip(a)]. 87.96/88.18 70118 mult(mult(a,c),b) = mult(mult(a,b),c). [para(69919(a,1),54414(a,1,2,1)),rewrite([276(8),68174(4),61535(9)])]. 87.96/88.18 70166 mult(a,mult(a,mult(ld(a,b),c))) = mult(mult(a,b),c). [back_rewrite(69154),rewrite([70118(14)])]. 87.96/88.19 70243 mult(ld(c,b),a) = mult(ld(c,a),b). [para(69930(a,1),594(a,1,1)),rewrite([51439(5),51439(12),51439(10),9(12)]),flip(a)]. 87.96/88.19 70272 mult(b,mult(ld(c,ld(c,b)),mult(ld(b,a),c))) = mult(ld(c,a),b). [back_rewrite(69922),rewrite([70243(18)])]. 87.96/88.19 70436 mult(c,mult(c,ld(mult(a,c),b))) = mult(ld(a,b),c). [para(70014(a,1),48095(a,1,1)),rewrite([70075(13)]),flip(a)]. 87.96/88.19 70447 mult(c,ld(mult(a,c),b)) = ld(a,b). [para(70014(a,1),3242(b,2)),rewrite([68132(3),51438(7),70014(14),68245(16),70243(21),60592(22),47077(19),47186(19),51438(18)]),merge(b)]. 87.96/88.19 70455 mult(ld(b,a),c) = mult(c,ld(b,a)). [para(70014(a,1),64697(a,1,1,2)),rewrite([911(5),70075(18),70447(18),911(15),64149(15),69938(12),594(14),49871(12),18178(12),12(13),12(10),9(7),51439(12),51439(10),69913(10),9(12)]),flip(a)]. 87.96/88.19 70461 mult(ld(a,b),c) = mult(c,ld(a,b)). [back_rewrite(70436),rewrite([70447(8)]),flip(a)]. 87.96/88.19 70466 mult(ld(c,a),b) = mult(b,ld(c,a)). [back_rewrite(70272),rewrite([70455(11),61917(12),12(7)]),flip(a)]. 87.96/88.19 70491 mult(a,mult(a,mult(c,ld(a,b)))) = mult(mult(a,b),c). [back_rewrite(70166),rewrite([70461(7)])]. 87.96/88.19 70498 mult(ld(a,c),b) = mult(c,ld(a,b)). [back_rewrite(70019),rewrite([70461(10)])]. 87.96/88.19 70499 mult(ld(c,b),a) = mult(b,ld(c,a)). [back_rewrite(70243),rewrite([70466(10)])]. 87.96/88.19 70605 mult(ld(b,ld(c,a)),b) = ld(c,a). [para(70062(a,1),14(a,1,2)),flip(a)]. 87.96/88.19 70606 mult(c,mult(b,ld(c,a))) = mult(a,b). [para(70062(a,1),131(a,1,1)),rewrite([70605(13),51466(10),70499(9),70605(19),12(16),70605(22),70466(20)]),flip(a),flip(b),merge(b)]. 87.96/88.19 70719 mult(a,mult(c,ld(a,b))) = mult(b,c). [para(70074(a,1),61728(a,2,2)),rewrite([28(5),68960(7),126(5),61291(11),52301(8),70466(7),70606(8),48094(6),68327(5),12(6),126(3),60008(10),68132(7),70498(9)]),flip(a)]. 87.96/88.19 70737 $F. [back_rewrite(70491),rewrite([70719(8)]),flip(a),unit_del(a,21)]. 87.96/88.19 87.96/88.19 % SZS output end Refutation 87.96/88.19 ============================== end of proof ========================== 87.96/88.19 87.96/88.19 ============================== STATISTICS ============================ 87.96/88.19 87.96/88.19 Given=2765. Generated=2673960. Kept=70727. proofs=1. 87.96/88.19 Usable=961. Sos=9997. Demods=9068. Limbo=18, Disabled=59763. Hints=0. 87.96/88.19 Megabytes=55.23. 87.96/88.19 User_CPU=86.22, System_CPU=1.52, Wall_clock=87. 87.96/88.19 87.96/88.19 ============================== end of statistics ===================== 87.96/88.19 87.96/88.19 ============================== end of search ========================= 87.96/88.19 87.96/88.19 THEOREM PROVED 87.96/88.19 % SZS status Theorem 87.96/88.19 87.96/88.19 Exiting with 1 proof. 87.96/88.19 87.96/88.19 Process 6673 exit (max_proofs) Sat Jul 14 04:55:37 2018 87.96/88.19 Prover9 interrupted 87.96/88.20 EOF