0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n026.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1200 0.12/0.33 % DateTime : Tue Jul 13 15:10:14 EDT 2021 0.12/0.34 % CPUTime : 3.41/3.70 ============================== Prover9 =============================== 3.41/3.70 Prover9 (32) version 2009-11A, November 2009. 3.41/3.70 Process 29388 was started by sandbox2 on n026.cluster.edu, 3.41/3.70 Tue Jul 13 15:10:15 2021 3.41/3.70 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_29234_n026.cluster.edu". 3.41/3.70 ============================== end of head =========================== 3.41/3.70 3.41/3.70 ============================== INPUT ================================= 3.41/3.70 3.41/3.70 % Reading from file /tmp/Prover9_29234_n026.cluster.edu 3.41/3.70 3.41/3.70 set(prolog_style_variables). 3.41/3.70 set(auto2). 3.41/3.70 % set(auto2) -> set(auto). 3.41/3.70 % set(auto) -> set(auto_inference). 3.41/3.70 % set(auto) -> set(auto_setup). 3.41/3.70 % set(auto_setup) -> set(predicate_elim). 3.41/3.70 % set(auto_setup) -> assign(eq_defs, unfold). 3.41/3.70 % set(auto) -> set(auto_limits). 3.41/3.70 % set(auto_limits) -> assign(max_weight, "100.000"). 3.41/3.70 % set(auto_limits) -> assign(sos_limit, 20000). 3.41/3.70 % set(auto) -> set(auto_denials). 3.41/3.70 % set(auto) -> set(auto_process). 3.41/3.70 % set(auto2) -> assign(new_constants, 1). 3.41/3.70 % set(auto2) -> assign(fold_denial_max, 3). 3.41/3.70 % set(auto2) -> assign(max_weight, "200.000"). 3.41/3.70 % set(auto2) -> assign(max_hours, 1). 3.41/3.70 % assign(max_hours, 1) -> assign(max_seconds, 3600). 3.41/3.70 % set(auto2) -> assign(max_seconds, 0). 3.41/3.70 % set(auto2) -> assign(max_minutes, 5). 3.41/3.70 % assign(max_minutes, 5) -> assign(max_seconds, 300). 3.41/3.70 % set(auto2) -> set(sort_initial_sos). 3.41/3.70 % set(auto2) -> assign(sos_limit, -1). 3.41/3.70 % set(auto2) -> assign(lrs_ticks, 3000). 3.41/3.70 % set(auto2) -> assign(max_megs, 400). 3.41/3.70 % set(auto2) -> assign(stats, some). 3.41/3.70 % set(auto2) -> clear(echo_input). 3.41/3.70 % set(auto2) -> set(quiet). 3.41/3.70 % set(auto2) -> clear(print_initial_clauses). 3.41/3.70 % set(auto2) -> clear(print_given). 3.41/3.70 assign(lrs_ticks,-1). 3.41/3.70 assign(sos_limit,10000). 3.41/3.70 assign(order,kbo). 3.41/3.70 set(lex_order_vars). 3.41/3.70 clear(print_given). 3.41/3.70 3.41/3.70 % formulas(sos). % not echoed (9 formulas) 3.41/3.70 3.41/3.70 ============================== end of input ========================== 3.41/3.70 3.41/3.70 % From the command line: assign(max_seconds, 1200). 3.41/3.70 3.41/3.70 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 3.41/3.70 3.41/3.70 % Formulas that are not ordinary clauses: 3.41/3.70 1 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption]. 3.41/3.70 2 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 3.41/3.70 3 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 3.41/3.70 4 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 3.41/3.70 5 (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]. 3.41/3.70 6 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 3.41/3.70 7 (all A mult(unit,A) = A) # label(f06) # label(axiom) # label(non_clause). [assumption]. 3.41/3.70 8 (all X0 all X1 all X2 (mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2) & mult(mult(X0,X2),X1) = mult(X0,mult(X2,X1)) | mult(X0,mult(X1,X2)) = mult(X0,mult(X2,X1)) & mult(mult(X0,X1),X2) = mult(mult(X0,X2),X1))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 3.41/3.70 3.41/3.70 ============================== end of process non-clausal formulas === 3.41/3.70 3.41/3.70 ============================== PROCESS INITIAL CLAUSES =============== 3.41/3.70 3.41/3.70 ============================== PREDICATE ELIMINATION ================= 3.41/3.70 3.41/3.70 ============================== end predicate elimination ============= 3.41/3.70 3.41/3.70 Auto_denials: (non-Horn, no changes). 3.41/3.70 3.41/3.70 Term ordering decisions: 3.41/3.70 Function symbol KB weights: unit=1. a=1. b=1. c=1. mult=1. ld=1. rd=1. 3.41/3.70 3.41/3.70 ============================== end of process initial clauses ======== 3.41/3.70 3.41/3.70 ============================== CLAUSES FOR SEARCH ==================== 3.41/3.70 3.41/3.70 ============================== end of clauses for search ============= 3.41/3.70 3.41/3.70 ============================== SEARCH ================================ 3.41/3.70 3.41/3.70 % Starting search at 0.01 seconds. 3.41/3.70 3.41/3.70 Low Water (keep): wt=112.000, iters=3347 3.41/3.70 3.41/3.70 Low Water (keep): wt=77.000, iters=3445 3.41/3.70 3.41/3.70 Low Water (keep): wt=76.000, iters=3394 3.41/3.70 3.41/3.70 Low Water (keep): wt=72.000, iters=3373 3.41/3.70 3.41/3.70 Low Water (keep): wt=70.000, iters=3445 3.41/3.70 3.41/3.70 Low Water (keep): wt=69.000, iters=3478 10.11/10.41 10.11/10.41 Low Water (keep): wt=68.000, iters=3374 10.11/10.41 10.11/10.41 Low Water (keep): wt=67.000, iters=3444 10.11/10.41 10.11/10.41 Low Water (keep): wt=65.000, iters=3437 10.11/10.41 10.11/10.41 Low Water (keep): wt=64.000, iters=3355 10.11/10.41 10.11/10.41 Low Water (keep): wt=62.000, iters=3344 10.11/10.41 10.11/10.41 Low Water (keep): wt=59.000, iters=3382 10.11/10.41 10.11/10.41 Low Water (keep): wt=58.000, iters=3413 10.11/10.41 10.11/10.41 Low Water (keep): wt=57.000, iters=3363 10.11/10.41 10.11/10.41 Low Water (keep): wt=55.000, iters=3399 10.11/10.41 10.11/10.41 Low Water (keep): wt=54.000, iters=3422 10.11/10.41 10.11/10.41 Low Water (keep): wt=53.000, iters=3377 10.11/10.41 10.11/10.41 Low Water (keep): wt=52.000, iters=3338 10.11/10.41 10.11/10.41 Low Water (keep): wt=50.000, iters=3335 10.11/10.41 10.11/10.41 Low Water (keep): wt=49.000, iters=3337 10.11/10.41 10.11/10.41 Low Water (keep): wt=46.000, iters=3365 10.11/10.41 10.11/10.41 Low Water (displace): id=4788, wt=165.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5974, wt=156.000 10.11/10.41 10.11/10.41 Low Water (displace): id=4780, wt=153.000 10.11/10.41 10.11/10.41 Low Water (displace): id=4563, wt=142.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5737, wt=141.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5958, wt=140.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5973, wt=136.000 10.11/10.41 10.11/10.41 Low Water (displace): id=4787, wt=133.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5593, wt=132.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5677, wt=129.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5594, wt=128.000 10.11/10.41 10.11/10.41 Low Water (displace): id=4552, wt=126.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5286, wt=125.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5969, wt=124.000 10.11/10.41 10.11/10.41 Low Water (displace): id=4731, wt=121.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5957, wt=120.000 10.11/10.41 10.11/10.41 Low Water (displace): id=4215, wt=118.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5736, wt=117.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5972, wt=116.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6005, wt=115.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5349, wt=113.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5921, wt=112.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6000, wt=111.000 10.11/10.41 10.11/10.41 Low Water (keep): wt=44.000, iters=3346 10.11/10.41 10.11/10.41 Low Water (displace): id=4559, wt=110.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5763, wt=109.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6276, wt=108.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6004, wt=107.000 10.11/10.41 10.11/10.41 Low Water (displace): id=2846, wt=106.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5926, wt=105.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5971, wt=104.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5999, wt=103.000 10.11/10.41 10.11/10.41 Low Water (displace): id=4214, wt=102.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6246, wt=101.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6009, wt=100.000 10.11/10.41 10.11/10.41 Low Water (keep): wt=43.000, iters=3368 10.11/10.41 10.11/10.41 Low Water (displace): id=6003, wt=99.000 10.11/10.41 10.11/10.41 Low Water (displace): id=3791, wt=98.000 10.11/10.41 10.11/10.41 Low Water (keep): wt=42.000, iters=3363 10.11/10.41 10.11/10.41 Low Water (displace): id=6260, wt=97.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5897, wt=96.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5998, wt=95.000 10.11/10.41 10.11/10.41 Low Water (displace): id=4576, wt=94.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6006, wt=93.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6269, wt=92.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5981, wt=91.000 10.11/10.41 10.11/10.41 Low Water (displace): id=3416, wt=90.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6258, wt=89.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5955, wt=88.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6002, wt=87.000 10.11/10.41 10.11/10.41 Low Water (displace): id=4554, wt=86.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6547, wt=85.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6279, wt=84.000 10.11/10.41 10.11/10.41 Low Water (displace): id=5997, wt=83.000 10.11/10.41 10.11/10.41 Low Water (displace): id=4574, wt=82.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6251, wt=81.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6282, wt=80.000 10.11/10.41 10.11/10.41 Low Water (keep): wt=41.000, iters=3343 10.11/10.41 10.11/10.41 Low Water (displace): id=5564, wt=79.000 10.11/10.41 10.11/10.41 Low Water (displace): id=6927, wt=78.000 10.11/10.41 10.11/10.41 Low Water (displace): id=12705, wt=30.000 10.11/10.41 10.11/10.41 Low Water (keep): wt=40.000, iters=3347 10.11/10.41 10.11/10.41 Low Water (keep): wt=39.000, iters=3350 10.11/10.41 10.11/10.41 Low Water (displace): id=13280, wt=29.000 10.11/10.41 10.11/10.41 Low Water (displace): id=13282, wt=28.000 10.11/10.41 10.11/10.41 Low Water (keep): wt=38.000, iters=3390 10.11/10.41 10.11/10.41 Low Water (displace): id=13481, wt=27.000 10.11/10.41 10.11/10.41 Low Water (keep): wt=36.000, iters=3341 10.11/10.41 10.11/10.41 Low Water (keep): wt=35.000, iters=3340 10.11/10.41 10.11/10.41 Low Water (displace): id=16413, wt=26.000 10.11/10.41 10.11/10.41 Low Water (keep): wt=34.000, iters=3333 10.11/10.41 10.11/10.41 Low Water (displace): id=17113, wt=25.000 10.11/10.41 10.11/10.41 Low Water (displace): id=17118, wt=23.000 10.11/10.41 10.11/10.41 Low Water (displace): id=17483, wt=21.000 10.11/10.41 10.11/10.41 Low Water (displace): id=17495, wt=19.000 10.11/10.41 10.11/10.41 Low Water (displace): id=17594, wt=17.000 10.11/10.41 10.11/10.41 Low Water (displace): id=17694, wt=15.000 10.11/10.41 10.11/10.41 Low Water (keep): wt=33.000, iters=3365 10.11/10.41 10.11/10.41 Low Water (keep): wt=32.000, iters=3394 10.11/10.41 10.11/10.41 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 119 (0.00 of 9.30 sec). 10.11/10.41 10.11/10.41 Low Water (keep): wt=31.000, iters=3340 69.32/69.59 69.32/69.59 Low Water (keep): wt=30.000, iters=3372 69.32/69.59 69.32/69.59 Low Water (keep): wt=29.000, iters=3345 69.32/69.59 69.32/69.59 Low Water (keep): wt=28.000, iters=3345 69.32/69.59 69.32/69.59 Low Water (keep): wt=27.000, iters=3336 69.32/69.59 69.32/69.59 Low Water (keep): wt=26.000, iters=3360 69.32/69.59 69.32/69.59 Low Water (keep): wt=25.000, iters=3378 69.32/69.59 69.32/69.59 Low Water (keep): wt=24.000, iters=3407 69.32/69.59 69.32/69.59 Low Water (keep): wt=23.000, iters=3333 69.32/69.59 69.32/69.59 Low Water (keep): wt=22.000, iters=3343 69.32/69.59 69.32/69.59 Low Water (keep): wt=21.000, iters=3333 69.32/69.59 69.32/69.59 Low Water (keep): wt=19.000, iters=4573 69.32/69.59 69.32/69.59 ============================== PROOF ================================= 69.32/69.59 % SZS status Theorem 69.32/69.59 % SZS output start Refutation 69.32/69.59 69.32/69.59 % Proof 1 at 67.06 (+ 1.55) seconds. 69.32/69.59 % Length of proof is 571. 69.32/69.59 % Level of proof is 40. 69.32/69.59 % Maximum clause weight is 29.000. 69.32/69.59 % Given clauses 2808. 69.32/69.59 69.32/69.59 1 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption]. 69.32/69.59 2 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 69.32/69.59 3 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 69.32/69.60 4 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 69.32/69.60 5 (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]. 69.32/69.60 6 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 69.32/69.60 7 (all A mult(unit,A) = A) # label(f06) # label(axiom) # label(non_clause). [assumption]. 69.32/69.60 8 (all X0 all X1 all X2 (mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2) & mult(mult(X0,X2),X1) = mult(X0,mult(X2,X1)) | mult(X0,mult(X1,X2)) = mult(X0,mult(X2,X1)) & mult(mult(X0,X1),X2) = mult(mult(X0,X2),X1))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 69.32/69.60 9 mult(A,unit) = A # label(f05) # label(axiom). [clausify(4)]. 69.32/69.60 10 mult(unit,A) = A # label(f06) # label(axiom). [clausify(7)]. 69.32/69.60 11 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(1)]. 69.32/69.60 12 rd(mult(A,B),B) = A # label(f04) # label(axiom). [clausify(2)]. 69.32/69.60 13 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(3)]. 69.32/69.60 14 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(6)]. 69.32/69.60 15 mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)) # label(f07) # label(axiom). [clausify(5)]. 69.32/69.60 16 mult(mult(A,B),C) = mult(A,mult(B,C)) | mult(A,mult(C,B)) = mult(A,mult(B,C)) # label(f08) # label(axiom). [clausify(8)]. 69.32/69.60 17 mult(mult(A,B),C) = mult(A,mult(B,C)) | mult(mult(A,C),B) = mult(mult(A,B),C) # label(f08) # label(axiom). [clausify(8)]. 69.32/69.60 18 mult(mult(A,B),C) = mult(A,mult(B,C)) | mult(A,mult(B,C)) = mult(A,mult(C,B)) # label(f08) # label(axiom). [clausify(8)]. 69.32/69.60 20 mult(mult(a,b),c) != mult(a,mult(b,c)) # label(goals) # label(negated_conjecture). [assumption]. 69.32/69.60 21 ld(unit,A) = A. [para(11(a,1),10(a,1)),flip(a)]. 69.32/69.60 23 rd(A,A) = unit. [para(10(a,1),12(a,1,1))]. 69.32/69.60 24 rd(A,ld(B,A)) = B. [para(11(a,1),12(a,1,1))]. 69.32/69.60 26 ld(rd(A,B),A) = B. [para(13(a,1),14(a,1,2))]. 69.32/69.60 27 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(9(a,1),15(a,1,1)),rewrite([9(4)])]. 69.32/69.60 28 mult(A,mult(mult(ld(A,B),C),ld(A,B))) = mult(mult(B,C),ld(A,B)). [para(11(a,1),15(a,1,1,1)),flip(a)]. 69.32/69.60 29 mult(A,mult(mult(B,ld(mult(A,B),C)),B)) = mult(C,B). [para(11(a,1),15(a,1,1)),flip(a)]. 69.32/69.60 30 rd(mult(A,mult(mult(B,C),B)),B) = mult(mult(A,B),C). [para(15(a,1),12(a,1,1))]. 69.32/69.60 31 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)]. 69.32/69.60 32 ld(mult(mult(A,B),C),mult(A,mult(mult(B,C),B))) = B. [para(15(a,1),14(a,1,2))]. 69.32/69.60 33 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))]. 69.32/69.60 34 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))]. 69.32/69.60 37 mult(A,mult(ld(A,B),C)) = mult(B,C) | mult(A,mult(ld(A,B),C)) = mult(A,mult(C,ld(A,B))). [para(11(a,1),16(a,1,1)),flip(a),flip(b)]. 69.32/69.60 58 mult(A,mult(ld(A,B),C)) = mult(B,C) | mult(mult(A,C),ld(A,B)) = mult(B,C). [para(11(a,1),17(b,2,1)),rewrite([11(2)]),flip(a)]. 69.32/69.60 105 mult(a,mult(c,b)) = mult(a,mult(b,c)). [resolve(20,a,18,a),flip(a)]. 69.32/69.60 106 mult(mult(a,c),b) != mult(a,mult(b,c)). [para(17(b,2),20(a,1)),unit_del(a,20)]. 69.32/69.60 107 mult(A,mult(ld(A,B),ld(A,B))) = mult(B,ld(A,B)). [para(11(a,1),27(a,1,1)),flip(a)]. 69.32/69.60 108 rd(mult(A,mult(B,B)),B) = mult(A,B). [para(27(a,1),12(a,1,1))]. 69.32/69.60 109 mult(rd(A,B),mult(B,B)) = mult(A,B). [para(13(a,1),27(a,1,1)),flip(a)]. 69.32/69.60 110 ld(mult(A,B),mult(A,mult(B,B))) = B. [para(27(a,1),14(a,1,2))]. 69.32/69.60 111 mult(mult(mult(A,mult(B,B)),C),B) = mult(mult(A,B),mult(mult(B,C),B)). [para(27(a,1),15(a,1,1,1))]. 69.32/69.60 112 mult(mult(A,mult(B,B)),B) = mult(A,mult(B,mult(B,B))). [para(27(a,1),15(a,1,1)),rewrite([27(5)])]. 69.32/69.60 113 mult(mult(A,B),mult(B,B)) = mult(A,mult(B,mult(B,B))). [para(27(a,1),15(a,1)),rewrite([27(5)])]. 69.32/69.60 125 mult(c,b) = mult(b,c). [para(105(a,1),14(a,1,2)),rewrite([14(7)]),flip(a)]. 69.32/69.60 126 rd(mult(b,c),b) = c. [para(125(a,1),12(a,1,1))]. 69.32/69.60 127 ld(c,mult(b,c)) = b. [para(125(a,1),14(a,1,2))]. 69.32/69.60 128 mult(mult(mult(b,c),A),b) = mult(c,mult(mult(b,A),b)). [para(125(a,1),15(a,1,1,1))]. 69.32/69.60 135 ld(A,mult(mult(B,C),ld(A,B))) = mult(mult(ld(A,B),C),ld(A,B)). [para(28(a,1),14(a,1,2))]. 69.32/69.60 156 mult(rd(A,mult(B,B)),B) = rd(A,B). [para(13(a,1),108(a,1,1)),flip(a)]. 69.32/69.60 166 rd(mult(A,B),mult(B,B)) = rd(A,B). [para(109(a,1),12(a,1,1))]. 69.32/69.60 167 ld(rd(A,B),mult(A,B)) = mult(B,B). [para(109(a,1),14(a,1,2))]. 69.32/69.60 184 mult(mult(A,B),C) = mult(A,mult(B,C)) | ld(mult(mult(A,B),C),mult(mult(A,C),mult(B,B))) = B. [para(17(b,1),110(a,1,1))]. 69.32/69.60 196 mult(mult(A,ld(mult(B,A),C)),A) = ld(B,mult(C,A)). [para(29(a,1),14(a,1,2)),flip(a)]. 69.32/69.60 219 rd(rd(A,B),B) = rd(A,mult(B,B)). [para(156(a,1),12(a,1,1))]. 69.32/69.60 220 ld(rd(A,mult(B,B)),rd(A,B)) = B. [para(156(a,1),14(a,1,2))]. 69.32/69.60 232 rd(A,mult(A,A)) = rd(unit,A). [para(10(a,1),166(a,1,1))]. 69.32/69.60 233 rd(A,mult(ld(B,A),ld(B,A))) = rd(B,ld(B,A)). [para(11(a,1),166(a,1,1))]. 69.32/69.60 245 rd(rd(A,mult(B,B)),B) = rd(rd(A,B),mult(B,B)). [para(156(a,1),166(a,1,1)),flip(a)]. 69.32/69.60 251 ld(rd(unit,A),A) = mult(A,A). [para(232(a,1),26(a,1,1))]. 69.32/69.60 253 rd(mult(A,mult(B,C)),C) = mult(mult(A,C),ld(C,B)). [para(11(a,1),30(a,1,1,2,1))]. 69.32/69.60 279 mult(ld(A,unit),ld(A,unit)) = ld(A,ld(A,unit)). [para(24(a,1),251(a,1,1)),flip(a)]. 69.32/69.60 286 ld(A,mult(B,ld(A,B))) = mult(ld(A,B),ld(A,B)). [para(24(a,1),167(a,1,1))]. 69.32/69.60 296 mult(mult(A,ld(B,C)),B) = mult(rd(A,B),mult(C,B)). [para(11(a,1),31(a,1,2,1)),flip(a)]. 69.32/69.60 297 rd(mult(mult(A,B),C),mult(mult(C,B),C)) = rd(A,C). [para(31(a,1),12(a,1,1))]. 69.32/69.60 317 mult(rd(A,c),mult(b,mult(c,c))) = mult(mult(A,b),c). [para(125(a,1),31(a,1,2,1)),rewrite([27(7)])]. 69.32/69.60 436 mult(mult(mult(A,B),ld(B,C)),mult(mult(B,D),B)) = mult(mult(mult(A,mult(C,B)),D),B). [para(11(a,1),33(a,1,1,1,2,1)),flip(a)]. 69.32/69.60 702 mult(mult(ld(A,B),ld(B,C)),ld(A,B)) = ld(A,mult(C,ld(A,B))). [para(11(a,1),196(a,1,1,2,1))]. 69.32/69.60 703 rd(ld(A,mult(B,C)),C) = mult(C,ld(mult(A,C),B)). [para(196(a,1),12(a,1,1))]. 69.32/69.60 704 ld(rd(A,B),mult(C,B)) = mult(mult(B,ld(A,C)),B). [para(13(a,1),196(a,1,1,2,1)),flip(a)]. 69.32/69.60 740 mult(mult(A,ld(mult(B,C),D)),C) = mult(rd(A,C),ld(B,mult(D,C))). [para(196(a,1),31(a,1,2)),flip(a)]. 69.32/69.60 889 mult(mult(A,B),ld(B,unit)) = A. [para(10(a,1),253(a,1,1,2)),rewrite([12(2)]),flip(a)]. 69.32/69.60 891 mult(mult(A,B),ld(B,rd(C,B))) = rd(mult(A,C),B). [para(13(a,1),253(a,1,1,2)),flip(a)]. 69.32/69.60 935 mult(A,mult(ld(A,B),C)) = mult(B,C) | mult(ld(A,B),C) = mult(C,ld(A,B)). [para(37(b,1),14(a,1,2)),rewrite([14(9)]),flip(b)]. 69.32/69.60 1012 rd(A,ld(B,unit)) = mult(A,B). [para(889(a,1),12(a,1,1))]. 69.32/69.60 1013 mult(A,ld(B,unit)) = rd(A,B). [para(13(a,1),889(a,1,1))]. 69.32/69.60 1014 ld(mult(A,B),A) = ld(B,unit). [para(889(a,1),14(a,1,2))]. 69.32/69.60 1022 mult(mult(A,B),rd(ld(B,unit),B)) = rd(A,B). [para(889(a,1),27(a,1,1)),rewrite([1013(3),1013(7)]),flip(a)]. 69.32/69.60 1025 ld(A,rd(A,B)) = ld(B,unit). [para(889(a,1),110(a,1,1)),rewrite([1013(6),1022(5)])]. 69.32/69.60 1029 mult(ld(A,ld(A,unit)),A) = ld(A,unit). [para(279(a,1),889(a,1,1)),rewrite([1013(8),1012(6)])]. 69.32/69.60 1032 mult(A,rd(mult(ld(B,unit),C),B)) = rd(mult(rd(A,B),C),B). [para(889(a,1),33(a,1,1,1,2)),rewrite([1013(3),1013(5),1013(6),13(5),1013(9)]),flip(a)]. 69.32/69.60 1035 mult(c,mult(rd(b,c),b)) = mult(b,b). [para(889(a,1),128(a,1,1)),rewrite([1013(9)]),flip(a)]. 69.32/69.60 1037 mult(rd(mult(A,B),C),B) = mult(A,mult(rd(B,C),B)). [para(889(a,1),34(a,2,1)),rewrite([1013(7),1032(6),12(2),1013(6)])]. 69.32/69.60 1038 mult(mult(A,mult(mult(ld(B,unit),B),ld(B,C))),mult(C,B)) = mult(rd(A,B),mult(C,mult(C,B))). [para(889(a,1),34(a,2,2,1)),rewrite([1013(7),253(5),1013(11)])]. 69.32/69.60 1069 rd(ld(A,unit),A) = ld(A,ld(A,unit)). [back_rewrite(279),rewrite([1013(5)])]. 69.32/69.60 1088 mult(ld(A,unit),A) = unit. [para(1012(a,1),23(a,1))]. 69.32/69.60 1090 mult(rd(A,B),ld(ld(B,unit),C)) = mult(mult(A,rd(C,B)),B). [para(1012(a,1),253(a,1)),rewrite([1013(3),1013(6)]),flip(a)]. 69.32/69.60 1091 mult(mult(A,ld(B,C)),mult(C,B)) = mult(rd(A,B),mult(C,mult(C,B))). [back_rewrite(1038),rewrite([1088(3),10(3)])]. 69.32/69.60 1093 rd(unit,A) = ld(A,unit). [para(1088(a,1),12(a,1,1))]. 69.32/69.60 1095 mult(ld(A,unit),mult(mult(A,B),A)) = mult(B,A). [para(1088(a,1),15(a,1,1,1)),rewrite([10(2)]),flip(a)]. 69.32/69.60 1103 ld(mult(A,A),unit) = ld(A,ld(A,unit)). [para(1088(a,1),166(a,1,1)),rewrite([1093(3),1069(6)])]. 69.32/69.60 1105 mult(ld(A,ld(A,unit)),mult(A,mult(A,A))) = A. [para(1088(a,1),112(a,1,1)),rewrite([10(2),1103(3)]),flip(a)]. 69.32/69.60 1107 mult(ld(A,unit),mult(A,mult(A,A))) = mult(A,A). [para(1088(a,1),113(a,1,1)),rewrite([10(3)]),flip(a)]. 69.32/69.60 1116 ld(ld(A,unit),A) = mult(A,A). [back_rewrite(251),rewrite([1093(2)])]. 69.32/69.60 1232 mult(A,ld(B,ld(B,unit))) = rd(A,mult(B,B)). [para(1013(a,1),27(a,1,1)),rewrite([1013(4),219(2),1013(7),1069(5)]),flip(a)]. 69.32/69.60 1233 mult(A,mult(rd(ld(A,B),C),ld(A,B))) = mult(rd(B,C),ld(A,B)). [para(1013(a,1),28(a,1,2,1)),rewrite([1013(8)])]. 69.32/69.60 1234 ld(rd(A,B),rd(A,mult(B,B))) = ld(B,unit). [para(1013(a,1),110(a,1,1)),rewrite([1013(6),1069(4),1232(5)])]. 69.32/69.60 1235 mult(rd(A,B),mult(rd(B,C),B)) = mult(rd(A,C),B). [para(1013(a,1),31(a,1,2,1)),rewrite([1013(7)])]. 69.32/69.60 1237 mult(A,rd(ld(B,unit),mult(B,B))) = rd(rd(A,B),mult(B,B)). [para(1013(a,1),112(a,1,1,2)),rewrite([1069(3),1232(4),1013(5),245(3),1013(10),1069(8),1232(9)]),flip(a)]. 69.32/69.60 1250 ld(ld(A,B),unit) = ld(B,A). [para(11(a,1),1014(a,1,1)),flip(a)]. 69.32/69.60 1261 ld(mult(A,ld(B,A)),B) = ld(ld(B,A),ld(A,B)). [para(107(a,1),1014(a,1,1)),rewrite([1103(8),1250(7)])]. 69.32/69.60 1274 ld(ld(A,B),ld(B,A)) = ld(B,rd(A,ld(A,B))). [para(233(a,1),1025(a,1,2)),rewrite([1103(8),1250(7)]),flip(a)]. 69.32/69.60 1276 ld(mult(A,ld(B,A)),B) = ld(A,rd(B,ld(B,A))). [back_rewrite(1261),rewrite([1274(6)])]. 69.32/69.60 1405 mult(ld(A,B),ld(B,A)) = unit. [para(1250(a,1),11(a,1,2))]. 69.32/69.60 1410 mult(mult(A,ld(B,C)),ld(C,B)) = A. [para(1250(a,1),253(a,2,2)),rewrite([10(3),12(4)]),flip(a)]. 69.32/69.60 1412 rd(A,ld(B,C)) = mult(A,ld(C,B)). [para(1250(a,1),1012(a,1,2))]. 69.32/69.60 1416 ld(mult(A,ld(B,A)),B) = mult(ld(A,B),ld(A,B)). [back_rewrite(1276),rewrite([1412(5),286(6)])]. 69.32/69.60 1566 ld(c,mult(b,b)) = mult(rd(b,c),b). [para(1035(a,1),14(a,1,2))]. 69.32/69.60 1827 mult(ld(mult(b,b),c),mult(rd(b,c),b)) = unit. [para(1566(a,1),1405(a,1,2))]. 69.32/69.60 2086 mult(ld(A,unit),mult(B,A)) = mult(ld(A,B),A). [para(11(a,1),1095(a,1,2,1))]. 69.32/69.60 2087 rd(mult(A,B),mult(mult(B,A),B)) = ld(B,unit). [para(1095(a,1),12(a,1,1))]. 69.32/69.60 2088 ld(ld(A,unit),mult(B,A)) = mult(mult(A,B),A). [para(1095(a,1),14(a,1,2))]. 69.32/69.60 2123 ld(mult(mult(A,B),A),unit) = ld(mult(B,A),ld(A,unit)). [para(1095(a,1),1014(a,1,1)),flip(a)]. 69.32/69.60 2154 ld(ld(A,ld(A,unit)),A) = mult(A,mult(A,A)). [para(1105(a,1),14(a,1,2))]. 69.32/69.60 2173 ld(mult(A,mult(A,A)),unit) = ld(A,ld(A,ld(A,unit))). [para(1105(a,1),1014(a,1,1)),flip(a)]. 69.32/69.60 2202 ld(mult(A,A),ld(A,unit)) = ld(A,ld(A,ld(A,unit))). [para(1107(a,1),1014(a,1,1)),rewrite([2173(8)])]. 69.32/69.60 2729 rd(mult(ld(mult(b,b),c),b),c) = ld(b,unit). [para(1827(a,1),253(a,1,1)),rewrite([1093(3),1025(15),1013(14)]),flip(a)]. 69.32/69.60 3031 rd(mult(ld(A,B),A),mult(B,A)) = ld(A,unit). [para(2086(a,1),12(a,1,1))]. 69.32/69.60 3032 mult(ld(A,rd(B,A)),A) = mult(ld(A,unit),B). [para(13(a,1),2086(a,1,2)),flip(a)]. 69.32/69.60 3043 rd(ld(ld(A,unit),B),A) = mult(A,rd(B,A)). [para(26(a,1),2086(a,1,1)),rewrite([1093(2),1013(3),1093(4),1093(7),1013(8)]),flip(a)]. 69.32/69.60 3046 mult(ld(b,unit),mult(b,c)) = mult(ld(b,c),b). [para(125(a,1),2086(a,1,2))]. 69.32/69.60 3052 ld(mult(rd(A,B),mult(C,B)),mult(A,ld(B,C))) = ld(B,unit). [para(2086(a,1),32(a,1,2,2,1)),rewrite([1013(3),1013(8),12(6)])]. 69.32/69.60 3233 mult(mult(ld(A,B),A),ld(A,B)) = ld(ld(B,A),B). [para(11(a,1),2088(a,1,2)),rewrite([1250(3)]),flip(a)]. 69.32/69.60 3234 mult(mult(A,rd(B,A)),A) = ld(ld(A,unit),B). [para(13(a,1),2088(a,1,2)),flip(a)]. 69.32/69.60 3240 rd(mult(ld(A,unit),B),A) = ld(A,rd(B,A)). [para(26(a,1),2088(a,1,1)),rewrite([1093(2),1013(3),1093(4),1093(7),1013(8)]),flip(a)]. 69.32/69.60 3267 rd(ld(A,unit),mult(A,A)) = ld(A,ld(A,ld(A,unit))). [para(1029(a,1),2088(a,2,1)),rewrite([1250(5),1116(3),11(5),2202(4),1232(10)]),flip(a)]. 69.32/69.60 3283 ld(ld(mult(A,B),unit),mult(ld(B,A),B)) = mult(A,mult(A,B)). [para(2086(a,1),2088(a,1,2)),rewrite([1013(10),12(8)])]. 69.32/69.60 3294 rd(mult(rd(A,B),C),B) = mult(A,ld(B,rd(C,B))). [back_rewrite(1032),rewrite([3240(4)]),flip(a)]. 69.32/69.60 3312 mult(A,ld(B,ld(B,ld(B,unit)))) = rd(rd(A,B),mult(B,B)). [back_rewrite(1237),rewrite([3267(4)])]. 69.32/69.60 3562 rd(rd(A,B),mult(B,B)) = rd(A,mult(B,mult(B,B))). [para(2154(a,1),1412(a,1,2)),rewrite([3312(8)]),flip(a)]. 69.32/69.60 3585 rd(rd(A,mult(B,B)),B) = rd(A,mult(B,mult(B,B))). [back_rewrite(245),rewrite([3562(6)])]. 69.32/69.60 3609 mult(ld(mult(b,b),c),b) = mult(ld(b,unit),c). [para(2729(a,1),13(a,1,1)),flip(a)]. 69.32/69.60 3620 rd(mult(ld(b,c),b),mult(b,c)) = ld(b,unit). [para(125(a,1),3031(a,1,2))]. 69.32/69.60 3978 ld(ld(A,rd(B,A)),mult(ld(A,unit),B)) = A. [para(3032(a,1),14(a,1,2))]. 69.32/69.60 4000 mult(ld(A,mult(mult(B,A),ld(A,C))),A) = mult(ld(A,unit),mult(B,mult(C,A))). [para(253(a,1),3032(a,1,1,2))]. 69.32/69.60 4003 ld(mult(ld(A,unit),B),ld(A,rd(B,A))) = ld(A,unit). [para(3032(a,1),1014(a,1,1))]. 69.32/69.60 4042 ld(mult(A,rd(B,A)),ld(ld(A,unit),B)) = A. [para(3043(a,1),26(a,1,1))]. 69.32/69.60 4070 mult(mult(A,ld(b,c)),mult(b,c)) = mult(rd(A,b),mult(c,mult(b,c))). [para(3046(a,1),34(a,1,1,2,1)),rewrite([1013(9),12(7),1013(12),1013(17),126(15)])]. 69.32/69.60 4074 mult(mult(ld(b,unit),c),ld(c,b)) = rd(mult(ld(b,c),b),c). [para(3046(a,1),253(a,1,1)),flip(a)]. 69.32/69.60 4075 mult(b,mult(ld(b,c),b)) = mult(b,c). [para(3046(a,1),37(b,1,2)),rewrite([3046(8),10(12),1013(26),126(24)]),merge(b)]. 69.32/69.60 4091 ld(ld(mult(b,c),unit),mult(ld(b,c),b)) = mult(c,mult(b,c)). [para(3046(a,1),2088(a,1,2)),rewrite([1013(18),126(16)])]. 69.32/69.60 4096 mult(ld(b,c),b) = c. [para(4075(a,1),14(a,1,2)),rewrite([14(5)]),flip(a)]. 69.32/69.60 4100 ld(ld(mult(b,c),unit),c) = mult(c,mult(b,c)). [back_rewrite(4091),rewrite([4096(10)])]. 69.32/69.60 4109 mult(mult(ld(b,unit),c),ld(c,b)) = unit. [back_rewrite(4074),rewrite([4096(14),23(12)])]. 69.32/69.60 4120 rd(c,mult(b,c)) = ld(b,unit). [back_rewrite(3620),rewrite([4096(5)])]. 69.32/69.60 4423 rd(c,b) = ld(b,c). [para(4096(a,1),12(a,1,1))]. 69.32/69.60 4424 ld(ld(b,c),c) = b. [para(4096(a,1),14(a,1,2))]. 69.32/69.60 4430 mult(ld(b,c),mult(b,b)) = mult(b,c). [para(4096(a,1),27(a,1,1)),rewrite([125(3)]),flip(a)]. 69.32/69.60 4431 mult(mult(b,c),ld(b,c)) = mult(b,mult(c,ld(b,c))). [para(4096(a,1),28(a,1,2,1)),rewrite([125(10)]),flip(a)]. 69.32/69.60 4432 rd(ld(b,c),b) = rd(c,mult(b,b)). [para(4096(a,1),166(a,1,1)),flip(a)]. 69.32/69.60 4438 mult(mult(A,mult(c,ld(b,c))),b) = mult(rd(A,b),mult(c,mult(b,c))). [para(4096(a,1),34(a,1,1,2,1)),rewrite([11(17),125(15),4070(16)])]. 69.32/69.60 4441 mult(mult(A,b),ld(b,ld(b,c))) = rd(mult(A,c),b). [para(4096(a,1),253(a,1,1,2)),flip(a)]. 69.32/69.60 4444 ld(c,ld(b,c)) = ld(b,unit). [para(4096(a,1),1014(a,1,1))]. 69.32/69.60 4451 rd(c,mult(c,ld(b,c))) = ld(c,b). [para(4096(a,1),2087(a,1,2,1)),rewrite([11(5),1250(12)])]. 69.32/69.60 4453 ld(ld(c,b),c) = mult(c,ld(b,c)). [para(4096(a,1),2088(a,2,1)),rewrite([1250(5),11(8)])]. 69.32/69.60 4469 mult(ld(c,b),mult(c,ld(b,c))) = c. [para(4424(a,1),2086(a,2,1)),rewrite([1250(5),11(14)])]. 69.32/69.60 4470 ld(mult(b,c),unit) = ld(c,ld(b,unit)). [para(4120(a,1),1025(a,1,2)),flip(a)]. 69.32/69.60 4477 ld(ld(c,ld(b,unit)),c) = mult(c,mult(b,c)). [back_rewrite(4100),rewrite([4470(5)])]. 69.32/69.60 4793 rd(mult(ld(b,unit),c),mult(ld(b,c),c)) = ld(c,unit). [para(4444(a,1),3031(a,1,1,1))]. 69.32/69.60 4799 mult(ld(b,unit),c) = ld(b,c). [para(4109(a,1),12(a,1,1)),rewrite([1412(5),10(5)]),flip(a)]. 69.32/69.60 4801 rd(ld(b,c),mult(ld(b,c),c)) = ld(c,unit). [back_rewrite(4793),rewrite([4799(5)])]. 69.32/69.60 4807 mult(ld(mult(b,b),c),b) = ld(b,c). [back_rewrite(3609),rewrite([4799(12)])]. 69.32/69.60 5164 ld(ld(b,unit),ld(b,c)) = c. [para(4799(a,1),14(a,1,2))]. 69.32/69.60 5170 mult(ld(b,unit),mult(c,c)) = mult(ld(b,c),c). [para(4799(a,1),27(a,1,1)),flip(a)]. 69.32/69.60 5182 ld(ld(b,c),ld(b,unit)) = ld(c,unit). [para(4799(a,1),1014(a,1,1))]. 69.32/69.60 5189 mult(ld(c,ld(b,unit)),c) = mult(ld(c,unit),ld(b,c)). [para(4799(a,1),2086(a,1,2)),flip(a)]. 69.32/69.60 5191 ld(ld(c,unit),ld(b,c)) = mult(ld(b,c),c). [para(4799(a,1),2088(a,1,2)),rewrite([1013(12),4423(10)])]. 69.32/69.60 5192 rd(c,mult(b,b)) = ld(b,ld(b,c)). [para(4799(a,1),2088(a,2,1)),rewrite([1250(5),21(3),1013(6),4423(4),1013(12),4432(10)]),flip(a)]. 69.32/69.60 5199 rd(ld(b,c),b) = ld(b,ld(b,c)). [back_rewrite(4432),rewrite([5192(10)])]. 69.32/69.60 5207 mult(mult(A,ld(c,b)),mult(b,mult(c,ld(b,c)))) = mult(mult(A,mult(b,b)),ld(b,c)). [para(4430(a,1),31(a,1,2,1)),rewrite([1412(4),4431(11)])]. 69.32/69.60 5626 ld(mult(c,ld(b,c)),unit) = ld(c,ld(c,b)). [para(4451(a,1),1025(a,1,2)),flip(a)]. 69.32/69.60 5631 mult(mult(c,ld(b,c)),ld(c,ld(c,b))) = unit. [para(4453(a,1),1405(a,1,1))]. 69.32/69.60 6031 ld(ld(c,ld(c,b)),c) = mult(c,mult(c,ld(b,c))). [para(4469(a,1),2088(a,1,2)),rewrite([5626(7),1410(16)])]. 69.32/69.60 6288 ld(mult(b,b),c) = ld(b,ld(b,c)). [para(4807(a,1),12(a,1,1)),rewrite([5199(5)]),flip(a)]. 69.32/69.60 6351 mult(ld(b,c),ld(c,rd(A,c))) = rd(mult(ld(b,unit),A),c). [para(5182(a,1),28(a,1,2,1,1)),rewrite([5182(14),1013(11),3240(9),5182(19),1013(16)])]. 69.32/69.60 6368 mult(A,mult(ld(A,unit),B)) = B | rd(mult(A,B),A) = B. [para(10(a,1),58(b,2)),rewrite([10(6),1013(9)])]. 69.32/69.60 6624 ld(ld(b,c),b) = mult(rd(b,c),b). [para(6288(a,1),1250(a,1,1)),rewrite([1250(7),1566(10)])]. 69.32/69.60 7841 mult(mult(mult(A,B),rd(C,B)),mult(mult(B,D),B)) = mult(mult(mult(A,ld(ld(B,unit),C)),D),B). [para(3234(a,1),33(a,1,1,1,2)),flip(a)]. 69.32/69.60 7851 rd(mult(A,ld(ld(B,unit),C)),B) = mult(mult(A,B),rd(C,B)). [para(3234(a,1),253(a,1,1,2)),rewrite([14(9)])]. 69.32/69.60 7940 rd(rd(ld(A,unit),B),A) = ld(A,rd(ld(B,unit),A)). [para(1013(a,1),3240(a,1,1))]. 69.32/69.60 8130 ld(ld(A,rd(ld(B,unit),A)),rd(ld(A,unit),B)) = A. [para(1013(a,1),3978(a,1,2))]. 69.32/69.60 8344 mult(A,ld(c,ld(c,ld(b,unit)))) = rd(A,mult(c,mult(b,c))). [para(4477(a,1),1412(a,1,2)),flip(a)]. 69.32/69.60 8791 ld(mult(ld(b,c),c),unit) = ld(ld(b,c),ld(c,unit)). [para(4801(a,1),1025(a,1,2)),flip(a)]. 69.32/69.60 8800 ld(ld(b,unit),mult(ld(b,c),c)) = mult(c,c). [para(5170(a,1),14(a,1,2))]. 69.32/69.60 9100 mult(A,ld(ld(b,c),ld(c,unit))) = rd(A,mult(ld(b,c),c)). [para(5191(a,1),1412(a,1,2)),flip(a)]. 69.32/69.60 9112 ld(ld(c,ld(c,b)),mult(c,ld(b,c))) = mult(mult(c,ld(b,c)),mult(c,ld(b,c))). [para(5626(a,1),1116(a,1,1))]. 69.32/69.60 9290 mult(mult(A,ld(c,ld(c,b))),mult(mult(c,ld(b,c)),mult(c,ld(b,c)))) = mult(A,mult(c,ld(b,c))). [para(5631(a,1),253(a,1,1,2)),rewrite([9(2),1412(6),4453(5),9112(23)]),flip(a)]. 69.32/69.60 10313 mult(mult(A,mult(mult(B,A),rd(B,A))),A) = mult(ld(ld(A,unit),B),ld(ld(A,unit),B)). [para(286(a,1),3234(a,2)),rewrite([7851(5)])]. 69.32/69.60 10401 mult(mult(A,ld(ld(B,C),B)),C) = mult(rd(A,C),mult(B,mult(B,C))). [para(296(a,1),34(a,2,2)),rewrite([3233(4),23(7),10(9),1091(8)])]. 69.32/69.60 10409 mult(rd(ld(A,B),B),mult(A,B)) = B. [para(1088(a,1),296(a,1,1)),rewrite([10(2),1250(3)]),flip(a)]. 69.32/69.60 10654 rd(ld(A,B),B) = rd(B,mult(A,B)). [para(10409(a,1),12(a,1,1)),flip(a)]. 69.32/69.60 10736 mult(ld(A,ld(A,B)),ld(B,A)) = rd(B,mult(A,B)). [para(11(a,1),10654(a,2,2)),rewrite([1412(4),10654(6)])]. 69.32/69.60 10737 mult(rd(A,mult(B,A)),A) = ld(B,A). [para(10654(a,1),13(a,1,1))]. 69.32/69.60 10743 ld(rd(A,mult(B,A)),ld(B,A)) = A. [para(10654(a,1),26(a,1,1))]. 69.32/69.60 10744 rd(A,mult(rd(A,B),A)) = rd(B,A). [para(26(a,1),10654(a,1,1)),flip(a)]. 69.32/69.60 10745 rd(mult(b,c),mult(c,mult(b,c))) = rd(b,mult(b,c)). [para(127(a,1),10654(a,1,1)),flip(a)]. 69.32/69.60 10746 mult(rd(A,mult(B,A)),mult(A,A)) = mult(ld(B,A),A). [para(10654(a,1),109(a,1,1))]. 69.32/69.60 10750 rd(rd(A,mult(B,A)),A) = rd(ld(B,A),mult(A,A)). [para(10654(a,1),219(a,1,1))]. 69.32/69.60 10751 mult(rd(A,mult(B,A)),mult(mult(A,C),A)) = mult(mult(ld(B,A),C),A). [para(10654(a,1),31(a,1,1))]. 69.32/69.60 10754 ld(rd(ld(A,B),mult(B,B)),rd(B,mult(A,B))) = B. [para(10654(a,1),220(a,1,2))]. 69.32/69.60 10764 rd(ld(A,unit),rd(B,A)) = mult(ld(B,ld(A,unit)),A). [para(1013(a,1),10654(a,2,2)),rewrite([1412(6),21(5)]),flip(a)]. 69.32/69.60 10765 rd(A,mult(mult(A,B),A)) = rd(ld(B,unit),A). [para(1014(a,1),10654(a,1,1)),flip(a)]. 69.32/69.60 10766 ld(ld(A,B),rd(B,mult(A,B))) = ld(B,unit). [para(10654(a,1),1025(a,1,2))]. 69.32/69.60 10767 rd(rd(A,B),mult(A,rd(A,B))) = mult(ld(A,ld(B,unit)),B). [para(1025(a,1),10654(a,1,1)),rewrite([10764(4)]),flip(a)]. 69.32/69.60 10779 rd(ld(A,B),mult(C,ld(A,B))) = mult(ld(C,ld(A,B)),ld(B,A)). [para(10654(a,1),1412(a,1))]. 69.32/69.60 10785 ld(rd(A,mult(B,A)),rd(ld(B,A),mult(A,A))) = ld(A,unit). [para(10654(a,1),1234(a,1,1))]. 69.32/69.60 10795 mult(ld(mult(A,B),unit),B) = mult(ld(B,unit),ld(A,B)). [para(10654(a,1),3032(a,1,1,2)),rewrite([1025(3)])]. 69.32/69.60 10797 rd(c,mult(ld(b,c),c)) = rd(b,c). [para(4424(a,1),10654(a,1,1)),flip(a)]. 69.32/69.60 10824 ld(ld(mult(A,B),unit),mult(ld(B,unit),ld(A,B))) = B. [para(10654(a,1),3978(a,1,1,2)),rewrite([1025(3)])]. 69.32/69.60 10825 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(3978(a,1),10654(a,1,1)),flip(a)]. 69.32/69.60 10844 rd(mult(ld(b,c),c),mult(ld(b,unit),mult(ld(b,c),c))) = rd(mult(c,c),mult(ld(b,c),c)). [para(8800(a,1),10654(a,1,1)),flip(a)]. 69.32/69.60 10854 mult(rd(A,mult(B,A)),ld(B,A)) = ld(B,ld(B,A)). [para(11(a,1),10737(a,1,1,2)),rewrite([10654(2)])]. 69.32/69.60 10855 ld(rd(A,B),B) = mult(rd(B,A),B). [para(13(a,1),10737(a,1,1,2)),flip(a)]. 69.32/69.60 10880 rd(mult(A,ld(B,C)),C) = rd(mult(A,C),mult(B,C)). [para(10737(a,1),253(a,1,1,2)),rewrite([1025(7),1013(8)])]. 69.32/69.60 10917 mult(rd(A,mult(ld(A,unit),B)),A) = ld(ld(A,rd(B,A)),A). [para(3032(a,1),10737(a,1,1,2))]. 69.32/69.60 10942 mult(mult(A,ld(B,ld(A,unit))),A) = ld(rd(B,A),unit). [para(3234(a,1),10737(a,1,1,2)),rewrite([1412(4),1014(8)])]. 69.32/69.60 10966 mult(rd(A,mult(B,C)),C) = mult(rd(A,C),ld(B,C)). [para(10737(a,1),296(a,2,2)),rewrite([1025(3),1013(4)])]. 69.32/69.60 11152 rd(mult(A,mult(B,C)),mult(mult(mult(A,C),ld(C,B)),mult(A,mult(B,C)))) = rd(C,mult(A,mult(B,C))). [para(253(a,1),10744(a,1,2,1))]. 69.32/69.60 11153 ld(mult(rd(A,B),A),unit) = ld(A,rd(B,A)). [para(10744(a,1),1025(a,1,2)),flip(a)]. 69.32/69.60 11179 ld(ld(b,c),ld(c,unit)) = ld(c,rd(b,c)). [para(10797(a,1),1025(a,1,2)),rewrite([8791(12)]),flip(a)]. 69.32/69.60 11190 ld(mult(mult(ld(b,c),c),rd(b,c)),ld(ld(c,rd(b,c)),c)) = mult(ld(b,c),c). [para(10797(a,1),4042(a,1,1,2)),rewrite([8791(16),11179(16)])]. 69.32/69.60 11191 rd(A,mult(ld(b,c),c)) = mult(A,ld(c,rd(b,c))). [back_rewrite(9100),rewrite([11179(7)]),flip(a)]. 69.32/69.60 11195 ld(mult(ld(b,c),c),unit) = ld(c,rd(b,c)). [back_rewrite(8791),rewrite([11179(14)])]. 69.32/69.60 11197 rd(mult(ld(b,c),c),mult(ld(b,unit),mult(ld(b,c),c))) = b. [back_rewrite(10844),rewrite([11191(24),891(24),125(18),12(20)])]. 69.32/69.60 11203 ld(mult(A,B),ld(B,unit)) = ld(B,rd(ld(A,unit),B)). [para(1013(a,1),10855(a,2)),rewrite([1412(3),21(2),7940(8)])]. 69.32/69.60 11294 ld(mult(mult(A,B),A),unit) = ld(A,rd(ld(B,unit),A)). [back_rewrite(2123),rewrite([11203(8)])]. 69.32/69.60 11498 ld(ld(A,rd(ld(B,unit),A)),A) = mult(rd(A,rd(ld(A,unit),B)),A). [para(10765(a,1),3234(a,1,1,2)),rewrite([7841(9),15(8),10942(7),1013(6),11294(9)]),flip(a)]. 69.32/69.60 11587 ld(mult(c,c),b) = ld(c,rd(b,c)). [para(8800(a,1),10766(a,1,1)),rewrite([11197(18),11195(12)])]. 69.32/69.60 11593 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(10766(a,1),10654(a,1,1)),flip(a)]. 69.32/69.60 11622 ld(b,mult(c,c)) = mult(ld(b,c),c). [para(11587(a,1),1250(a,1,1)),rewrite([1250(7),10855(5),4423(3)]),flip(a)]. 69.32/69.60 11633 mult(b,mult(ld(b,c),c)) = mult(c,c). [para(11622(a,1),11(a,1,2))]. 69.32/69.60 11689 mult(mult(b,ld(c,rd(b,c))),mult(mult(ld(b,c),c),mult(ld(b,c),c))) = mult(c,c). [para(11633(a,1),109(a,2)),rewrite([11191(7)])]. 69.32/69.60 11879 ld(mult(A,B),rd(B,mult(A,B))) = ld(mult(A,mult(A,B)),unit). [para(12(a,1),11153(a,1,1,1)),flip(a)]. 69.32/69.60 12273 rd(mult(A,B),mult(mult(B,C),B)) = rd(rd(A,C),B). [para(13(a,1),297(a,1,1,1))]. 69.32/69.60 12777 mult(ld(A,unit),ld(rd(B,A),C)) = mult(ld(B,rd(C,A)),A). [para(1013(a,1),703(a,1,1,2)),rewrite([1412(5),21(4),1013(8)]),flip(a)]. 69.32/69.60 12837 mult(mult(A,mult(A,ld(mult(B,A),C))),A) = ld(ld(A,unit),ld(B,mult(C,A))). [para(703(a,1),3234(a,1,1,2))]. 69.32/69.60 12883 mult(mult(ld(A,B),ld(C,A)),ld(A,B)) = ld(mult(C,ld(B,A)),B). [para(11(a,1),704(a,1,2)),rewrite([1412(2)]),flip(a)]. 69.32/69.60 12884 mult(mult(A,ld(B,rd(C,A))),A) = ld(rd(B,A),C). [para(13(a,1),704(a,1,2)),flip(a)]. 69.32/69.60 12891 ld(rd(A,b),mult(b,c)) = mult(mult(b,ld(A,c)),b). [para(125(a,1),704(a,1,2))]. 69.32/69.60 12901 ld(mult(A,B),rd(C,B)) = ld(B,rd(ld(A,C),B)). [para(1013(a,1),704(a,1,2)),rewrite([1412(3),21(2),1013(10),3240(8)])]. 69.32/69.60 12905 mult(mult(ld(A,B),ld(C,ld(B,A))),ld(A,B)) = ld(mult(C,ld(B,A)),unit). [para(1405(a,1),704(a,1,2)),rewrite([1412(2)]),flip(a)]. 69.32/69.60 12923 mult(mult(A,ld(B,ld(A,rd(C,A)))),A) = ld(rd(B,A),mult(ld(A,unit),C)). [para(3032(a,1),704(a,1,2)),flip(a)]. 69.32/69.60 12973 ld(rd(A,mult(B,A)),mult(C,A)) = mult(mult(A,ld(ld(B,A),C)),A). [para(10654(a,1),704(a,1,1))]. 69.32/69.60 13516 mult(rd(A,mult(B,A)),mult(rd(A,C),A)) = mult(rd(ld(B,A),C),A). [para(10654(a,1),1235(a,1,1))]. 69.32/69.60 13518 rd(rd(A,B),mult(mult(rd(A,C),B),rd(A,B))) = rd(ld(B,rd(C,B)),rd(A,B)). [para(1235(a,1),10765(a,1,2,1)),rewrite([11153(10)])]. 69.32/69.60 13806 mult(ld(ld(A,B),A),B) = mult(ld(B,A),mult(A,B)). [para(3233(a,1),15(a,1,1)),rewrite([11(6)])]. 69.32/69.60 13810 mult(mult(A,B),ld(B,A)) = mult(B,ld(ld(A,B),A)). [para(3233(a,1),28(a,1,2)),flip(a)]. 69.32/69.60 13894 ld(mult(A,ld(B,rd(C,B))),mult(rd(A,B),C)) = B. [para(3294(a,1),26(a,1,1))]. 69.32/69.60 14018 rd(rd(A,mult(B,A)),mult(A,A)) = rd(ld(B,A),mult(A,mult(A,A))). [para(10654(a,1),3562(a,1,1))]. 69.32/69.60 14111 ld(rd(ld(A,unit),B),ld(A,rd(ld(B,unit),A))) = ld(A,unit). [para(1013(a,1),4003(a,1,1))]. 69.32/69.60 14133 ld(mult(ld(A,unit),ld(B,A)),ld(mult(B,A),unit)) = ld(A,unit). [para(10654(a,1),4003(a,1,2,2)),rewrite([1025(7)])]. 69.32/69.60 14355 rd(mult(A,mult(ld(c,unit),ld(b,c))),c) = rd(mult(A,c),mult(c,mult(b,c))). [para(5189(a,1),253(a,1,1,2)),rewrite([8344(20)])]. 69.32/69.60 14356 mult(c,mult(ld(c,unit),ld(b,c))) = ld(b,c). [para(5189(a,1),37(b,1,2)),rewrite([5189(8),4799(14),11(30),1013(27),4423(25)]),merge(b)]. 69.32/69.60 14406 mult(mult(ld(b,c),c),ld(c,b)) = c. [para(14356(a,1),12(a,1,1)),rewrite([10779(11),5191(7)])]. 69.32/69.60 14407 mult(ld(c,unit),ld(b,c)) = ld(b,unit). [para(14356(a,1),14(a,1,2)),rewrite([4444(5)]),flip(a)]. 69.32/69.60 14464 rd(mult(A,c),mult(c,mult(b,c))) = rd(rd(A,b),c). [back_rewrite(14355),rewrite([14407(7),1013(4)]),flip(a)]. 69.32/69.60 14500 rd(b,mult(b,c)) = ld(c,unit). [back_rewrite(10745),rewrite([14464(9),23(3),1093(3)]),flip(a)]. 69.32/69.60 14625 mult(ld(c,b),c) = b. [para(14500(a,1),13(a,1,1)),rewrite([2086(7)])]. 69.32/69.60 14637 mult(c,mult(b,c)) = mult(b,mult(c,c)). [para(14500(a,1),10855(a,1,1)),rewrite([2088(7),125(3),27(5),126(10)]),flip(a)]. 69.32/69.60 14638 mult(ld(c,unit),b) = ld(c,b). [para(14500(a,1),10855(a,2,1)),rewrite([126(5)]),flip(a)]. 69.32/69.60 14846 mult(mult(A,mult(c,ld(b,c))),b) = mult(rd(A,b),mult(b,mult(c,c))). [back_rewrite(4438),rewrite([14637(15)])]. 69.32/69.60 15049 rd(b,c) = ld(c,b). [para(14625(a,1),12(a,1,1))]. 69.32/69.60 15063 mult(mult(A,c),ld(c,ld(c,b))) = rd(mult(A,b),c). [para(14625(a,1),253(a,1,1,2)),flip(a)]. 69.32/69.60 15066 ld(b,ld(c,b)) = ld(c,unit). [para(14625(a,1),1014(a,1,1))]. 69.32/69.60 15072 mult(ld(c,b),b) = mult(b,ld(c,b)). [para(14625(a,1),2088(a,2,1)),rewrite([1250(5),11(8),6624(5),15049(3)])]. 69.32/69.60 15104 mult(mult(c,ld(A,ld(c,b))),c) = ld(rd(A,c),b). [para(14625(a,1),704(a,1,2)),flip(a)]. 69.32/69.60 15225 mult(mult(b,ld(c,ld(c,b))),mult(mult(ld(b,c),c),mult(ld(b,c),c))) = mult(c,c). [back_rewrite(11689),rewrite([15049(5)])]. 69.32/69.60 15244 mult(ld(b,c),c) = mult(c,ld(b,c)). [back_rewrite(11190),rewrite([15049(8),14406(9),15049(5),6031(8),14(9)]),flip(a)]. 69.32/69.60 15360 mult(b,mult(c,ld(b,c))) = mult(c,c). [back_rewrite(15225),rewrite([15244(12),15244(17),9290(19)])]. 69.32/69.60 15538 mult(mult(A,ld(c,b)),mult(c,c)) = mult(mult(A,mult(b,b)),ld(b,c)). [back_rewrite(5207),rewrite([15360(11)])]. 69.32/69.60 15640 mult(mult(b,ld(A,ld(c,unit))),b) = ld(rd(A,b),ld(c,b)). [para(14638(a,1),704(a,1,2)),flip(a)]. 69.32/69.60 15658 ld(ld(c,unit),ld(b,unit)) = ld(b,c). [para(15066(a,1),10766(a,1,1)),rewrite([10779(12),15066(8),14407(10),1250(12)])]. 69.32/69.60 17782 mult(mult(ld(ld(A,unit),B),C),ld(ld(A,unit),B)) = mult(mult(A,mult(mult(mult(B,C),A),rd(B,A))),A). [para(135(a,1),3234(a,2)),rewrite([7851(6)]),flip(a)]. 69.32/69.60 17856 ld(ld(c,unit),mult(mult(ld(b,unit),A),ld(b,c))) = mult(mult(ld(b,c),A),ld(b,c)). [para(15658(a,1),135(a,1,2,2)),rewrite([15658(19),15658(23)])]. 69.32/69.60 19079 rd(ld(A,unit),rd(A,mult(B,A))) = mult(ld(ld(B,A),ld(A,unit)),A). [para(10743(a,1),10736(a,1,2)),rewrite([10766(5),11593(12)]),flip(a)]. 69.32/69.60 19151 rd(rd(ld(A,unit),B),mult(ld(A,rd(ld(B,unit),A)),rd(ld(A,unit),B))) = rd(A,rd(ld(A,unit),B)). [para(8130(a,1),10736(a,1,1,2)),rewrite([11498(5),14111(13),1013(8),12(6)]),flip(a)]. 69.32/69.60 19159 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(11593),rewrite([19079(12)])]. 69.32/69.60 19502 ld(rd(ld(A,B),mult(B,mult(B,B))),rd(B,mult(A,B))) = mult(B,B). [para(10754(a,1),1416(a,2,1)),rewrite([10785(9),1013(6),3585(4),10754(13)])]. 69.32/69.60 19627 rd(mult(ld(A,unit),ld(B,A)),mult(B,A)) = ld(mult(B,mult(B,A)),unit). [para(10795(a,1),2088(a,2,1)),rewrite([1250(5),21(3),1013(5),11879(4),1013(12)]),flip(a)]. 69.32/69.60 19629 mult(ld(A,unit),ld(ld(A,rd(B,A)),A)) = mult(ld(mult(ld(A,unit),B),unit),A). [para(3032(a,1),10795(a,1,1,1)),flip(a)]. 69.32/69.60 20117 ld(rd(mult(A,B),mult(C,B)),B) = mult(rd(B,mult(A,ld(C,B))),B). [para(10880(a,1),10855(a,1,1))]. 69.32/69.60 20208 rd(ld(A,ld(A,B)),B) = rd(ld(A,B),mult(A,B)). [para(10854(a,1),10880(a,1,1)),rewrite([10966(6),23(4),10(6)])]. 69.32/69.60 20240 ld(mult(rd(A,B),ld(C,B)),rd(A,mult(C,B))) = ld(B,unit). [para(10966(a,1),1014(a,1,1))]. 69.32/69.60 20781 ld(rd(A,mult(B,A)),rd(ld(A,B),rd(A,mult(B,A)))) = ld(mult(ld(B,ld(B,A)),rd(A,mult(B,A))),unit). [para(10854(a,1),11294(a,1,1,1)),rewrite([1250(12)]),flip(a)]. 69.32/69.60 21125 rd(mult(c,ld(b,c)),mult(mult(c,A),c)) = rd(rd(ld(b,c),A),c). [para(15244(a,1),12273(a,1,1))]. 69.32/69.60 21339 rd(ld(rd(A,B),C),B) = mult(B,ld(A,rd(C,B))). [para(12884(a,1),12(a,1,1))]. 69.32/69.60 21362 mult(mult(ld(A,rd(B,C)),C),ld(B,rd(A,C))) = ld(C,unit). [para(12884(a,1),3031(a,1,2)),rewrite([14(4),1412(6)])]. 69.32/69.60 21367 mult(mult(A,ld(B,rd(A,mult(C,A)))),A) = ld(rd(B,A),ld(C,A)). [para(10654(a,1),12884(a,1,1,2,2))]. 69.32/69.60 22050 ld(ld(A,unit),mult(ld(A,B),mult(B,A))) = mult(B,mult(B,A)). [para(13806(a,1),2088(a,1,2)),rewrite([10401(10),23(7),10(10)])]. 69.32/69.60 22160 rd(ld(A,B),mult(A,B)) = rd(B,mult(A,mult(A,B))). [para(10824(a,1),13806(a,2,1)),rewrite([14133(8),14(7),1013(5),1013(11),19627(9),1013(8)])]. 69.32/69.60 22239 rd(ld(A,ld(A,B)),B) = rd(B,mult(A,mult(A,B))). [back_rewrite(20208),rewrite([22160(6)])]. 69.32/69.60 22319 mult(A,mult(mult(A,ld(ld(B,mult(A,A)),B)),A)) = mult(mult(B,A),ld(A,mult(B,A))). [para(13810(a,1),111(a,1,1)),rewrite([15(6),740(11),23(8),10(11)])]. 69.32/69.60 22534 rd(mult(rd(A,B),C),mult(mult(A,ld(B,rd(C,B))),mult(rd(A,B),C))) = rd(B,mult(rd(A,B),C)). [para(13894(a,1),10654(a,1,1)),flip(a)]. 69.32/69.60 22579 ld(mult(rd(A,mult(B,A)),ld(A,rd(C,A))),mult(rd(ld(B,A),mult(A,A)),C)) = A. [para(10750(a,1),13894(a,1,2,1))]. 69.32/69.60 23251 mult(ld(c,unit),ld(ld(c,b),A)) = mult(ld(b,rd(A,c)),c). [para(15104(a,1),10795(a,1,1,1)),rewrite([1250(6),1014(17),1250(15)]),flip(a)]. 69.32/69.60 29008 rd(mult(A,B),A) = B | mult(ld(A,unit),B) = ld(A,B). [para(6368(a,1),14(a,1,2)),flip(b)]. 69.32/69.60 29150 rd(mult(A,B),A) = B | rd(B,mult(A,B)) = ld(A,unit). [para(29008(b,1),12(a,1,1)),rewrite([10654(5)])]. 69.32/69.60 29556 rd(A,mult(B,A)) = ld(B,unit) | mult(A,B) = mult(B,A). [para(29150(a,1),13(a,1,1))]. 69.32/69.60 30515 rd(A,mult(B,A)) = ld(B,unit) | mult(ld(B,A),B) = A. [para(11(a,1),29556(a,1,2)),rewrite([10654(2),11(9)])]. 69.32/69.60 30516 ld(rd(A,B),unit) = rd(B,A) | mult(B,rd(A,B)) = A. [para(13(a,1),29556(a,1,2)),rewrite([13(9)]),flip(a)]. 69.32/69.60 31299 rd(A,mult(B,A)) = ld(B,unit) | rd(A,mult(A,B)) = ld(B,unit). [para(30515(b,1),3031(a,1,1))]. 69.32/69.60 37459 ld(rd(mult(ld(b,unit),A),c),ld(b,c)) = mult(rd(c,A),c). [para(6351(a,1),1014(a,1,1)),rewrite([1250(16),10855(14)])]. 69.32/69.60 39352 rd(rd(rd(A,mult(B,A)),C),A) = rd(ld(B,A),mult(mult(A,C),A)). [para(436(a,1),10765(a,1,2)),rewrite([15(6),12273(8),12273(5),1250(7)])]. 69.32/69.60 39468 ld(mult(b,ld(A,ld(c,unit))),ld(rd(A,b),ld(c,b))) = b. [para(15640(a,1),14(a,1,2))]. 69.32/69.60 41063 ld(rd(rd(ld(b,unit),A),c),ld(b,c)) = mult(mult(c,A),c). [para(1013(a,1),37459(a,1,1,1)),rewrite([1412(14),21(13)])]. 69.32/69.60 41064 ld(rd(mult(ld(b,A),b),c),ld(b,c)) = mult(rd(c,mult(A,b)),c). [para(2086(a,1),37459(a,1,1,1))]. 69.32/69.60 41116 ld(mult(b,A),ld(rd(rd(ld(c,unit),A),b),ld(c,b))) = b. [para(26(a,1),39468(a,1,1,2))]. 69.32/69.60 41150 ld(rd(mult(ld(A,ld(b,unit)),b),c),ld(b,c)) = mult(mult(c,rd(A,b)),c). [para(10764(a,1),41063(a,1,1,1))]. 69.32/69.60 41199 ld(rd(rd(ld(c,unit),A),b),ld(c,b)) = mult(mult(b,A),b). [para(41116(a,1),11(a,1,2)),flip(a)]. 69.32/69.60 41360 ld(rd(mult(ld(A,ld(c,unit)),c),b),ld(c,b)) = mult(mult(b,rd(A,c)),b). [para(10764(a,1),41199(a,1,1,1))]. 69.32/69.60 43911 mult(mult(c,ld(ld(b,c),A)),c) = ld(ld(b,unit),mult(A,c)). [para(5164(a,1),702(a,1,1,1)),rewrite([5164(13),5164(18)])]. 69.32/69.60 43950 ld(ld(b,unit),mult(rd(ld(b,c),A),c)) = mult(rd(c,A),c). [para(1025(a,1),43911(a,1,1,2)),rewrite([1013(4)]),flip(a)]. 69.32/69.60 43999 ld(mult(rd(ld(b,c),A),c),ld(b,unit)) = ld(c,rd(A,c)). [para(43950(a,1),1250(a,1,1)),rewrite([11153(6)]),flip(a)]. 69.32/69.60 48583 rd(A,mult(B,A)) = ld(B,unit). [para(30515(b,1),31299(b,1,2)),rewrite([11(8),10654(7),10654(12)]),merge(b),merge(c)]. 69.32/69.60 48584 ld(rd(A,B),unit) = rd(B,A). [para(30516(b,1),31299(b,1,2)),rewrite([13(7)]),flip(b),flip(c),merge(b),merge(c)]. 69.32/69.60 48600 rd(ld(A,B),mult(mult(B,C),B)) = rd(rd(ld(A,unit),C),B). [back_rewrite(39352),rewrite([48583(2)]),flip(a)]. 69.32/69.60 48624 ld(mult(ld(A,unit),ld(B,rd(C,B))),mult(rd(ld(A,B),mult(B,B)),C)) = B. [back_rewrite(22579),rewrite([48583(2)])]. 69.32/69.60 48627 ld(mult(A,ld(B,rd(C,B))),unit) = rd(B,mult(rd(A,B),C)). [back_rewrite(22534),rewrite([48583(9)])]. 69.32/69.60 48643 mult(mult(A,ld(B,ld(C,unit))),A) = ld(rd(B,A),ld(C,A)). [back_rewrite(21367),rewrite([48583(2)])]. 69.32/69.60 48651 mult(mult(A,ld(B,A)),A) = mult(A,ld(ld(A,B),A)). [back_rewrite(20781),rewrite([48583(2),48583(5),1412(6),21(5),2088(5),48583(7),1013(8),48584(8),1412(6)])]. 69.32/69.60 48659 ld(rd(ld(A,B),mult(B,mult(B,B))),ld(A,unit)) = mult(B,B). [back_rewrite(19502),rewrite([48583(6)])]. 69.32/69.60 48675 mult(ld(ld(A,B),ld(B,unit)),B) = mult(ld(ld(A,B),ld(A,unit)),A). [back_rewrite(19159),rewrite([48583(2),48583(5),1013(6),10764(5)]),flip(a)]. 69.32/69.60 48677 rd(A,rd(ld(A,unit),B)) = mult(mult(A,B),A). [back_rewrite(19151),rewrite([48583(12),1250(6),10855(4),1412(3),21(2)]),flip(a)]. 69.32/69.60 48691 rd(ld(A,B),mult(B,mult(B,B))) = rd(ld(A,unit),mult(B,B)). [back_rewrite(14018),rewrite([48583(2)]),flip(a)]. 69.32/69.60 48694 rd(ld(A,rd(B,A)),rd(C,A)) = ld(mult(rd(C,B),A),unit). [back_rewrite(13518),rewrite([48583(6)]),flip(a)]. 69.32/69.60 48695 mult(ld(A,unit),mult(rd(B,C),B)) = mult(rd(ld(A,B),C),B). [back_rewrite(13516),rewrite([48583(2)])]. 69.32/69.60 48700 mult(mult(A,ld(ld(B,A),C)),A) = ld(ld(B,unit),mult(C,A)). [back_rewrite(12973),rewrite([48583(2)]),flip(a)]. 69.32/69.60 48712 ld(mult(mult(A,B),ld(B,C)),unit) = rd(B,mult(A,mult(C,B))). [back_rewrite(11152),rewrite([48583(9)])]. 69.32/69.60 48722 rd(A,mult(ld(A,unit),B)) = mult(rd(A,B),A). [back_rewrite(10825),rewrite([48583(10),1250(4),10855(2)]),flip(a)]. 69.32/69.60 48727 mult(ld(A,ld(B,C)),ld(C,B)) = ld(A,unit). [back_rewrite(10779),rewrite([48583(4)]),flip(a)]. 69.32/69.60 48728 mult(ld(A,ld(B,unit)),B) = ld(A,unit). [back_rewrite(10767),rewrite([48583(4)]),flip(a)]. 69.32/69.60 48729 ld(ld(A,B),ld(A,unit)) = ld(B,unit). [back_rewrite(10766),rewrite([48583(3)])]. 69.32/69.60 48730 rd(ld(A,unit),B) = ld(mult(B,A),unit). [back_rewrite(10765),rewrite([48583(3)]),flip(a)]. 69.32/69.60 48732 mult(ld(A,unit),mult(mult(B,C),B)) = mult(mult(ld(A,B),C),B). [back_rewrite(10751),rewrite([48583(2)])]. 69.32/69.60 48733 rd(ld(A,B),mult(B,B)) = ld(mult(B,A),unit). [back_rewrite(10750),rewrite([48583(2),48730(3)]),flip(a)]. 69.32/69.60 48735 mult(ld(A,unit),mult(B,B)) = mult(ld(A,B),B). [back_rewrite(10746),rewrite([48583(2)])]. 69.32/69.60 48737 rd(ld(A,B),B) = ld(A,unit). [back_rewrite(10654),rewrite([48583(4)])]. 69.32/69.60 48853 mult(ld(A,unit),B) = ld(A,B). [back_rewrite(48675),rewrite([48728(5),1250(3),48729(5)]),flip(a)]. 69.32/69.60 48857 ld(ld(mult(mult(A,A),B),unit),ld(B,unit)) = mult(A,A). [back_rewrite(48659),rewrite([48691(4),48730(4)])]. 69.32/69.60 48909 ld(ld(A,rd(B,A)),A) = mult(A,ld(ld(A,B),A)). [back_rewrite(10917),rewrite([48853(3),1412(2),48651(3)]),flip(a)]. 69.32/69.60 48922 ld(ld(mult(b,A),unit),ld(c,b)) = mult(mult(b,rd(A,c)),b). [back_rewrite(41360),rewrite([48728(6),48730(4)])]. 69.32/69.60 48923 ld(ld(mult(c,A),unit),ld(b,c)) = mult(mult(c,rd(A,b)),c). [back_rewrite(41150),rewrite([48728(6),48730(4)])]. 69.32/69.60 48938 rd(ld(A,B),mult(B,mult(B,B))) = ld(mult(mult(B,B),A),unit). [back_rewrite(48691),rewrite([48730(8)])]. 69.32/69.60 48940 mult(mult(A,B),A) = mult(A,mult(B,A)). [back_rewrite(48677),rewrite([48730(3),1412(4),21(3)]),flip(a)]. 69.32/69.60 48945 rd(ld(A,B),mult(B,mult(C,B))) = ld(mult(B,mult(C,A)),unit). [back_rewrite(48600),rewrite([48940(3),48730(7),48730(8)])]. 69.32/69.60 49034 ld(mult(A,B),ld(B,unit)) = ld(B,ld(mult(B,A),unit)). [back_rewrite(11203),rewrite([48730(7)])]. 69.32/69.60 49069 ld(ld(A,ld(B,rd(C,B))),ld(mult(B,A),C)) = B. [back_rewrite(48624),rewrite([48853(5),48733(6),48853(7)])]. 69.32/69.60 49135 ld(A,mult(B,B)) = mult(ld(A,B),B). [back_rewrite(48735),rewrite([48853(4)])]. 69.32/69.60 49136 ld(A,mult(B,mult(C,B))) = mult(mult(ld(A,B),C),B). [back_rewrite(48732),rewrite([48940(4),48853(5)])]. 69.32/69.60 49137 mult(rd(A,B),A) = mult(A,ld(B,A)). [back_rewrite(48722),rewrite([48853(3),1412(2)]),flip(a)]. 69.32/69.60 49140 ld(A,mult(B,ld(C,B))) = mult(rd(ld(A,B),C),B). [back_rewrite(48695),rewrite([49137(4),48853(5)])]. 69.32/69.60 49263 ld(c,ld(ld(c,b),A)) = mult(ld(b,rd(A,c)),c). [back_rewrite(23251),rewrite([48853(8)])]. 69.32/69.60 49338 ld(ld(A,B),A) = mult(ld(B,A),A). [back_rewrite(19629),rewrite([48909(5),48853(6),14(4),48853(5),1250(5)])]. 69.32/69.60 49357 ld(ld(c,unit),mult(ld(b,A),ld(b,c))) = mult(ld(b,c),mult(A,ld(b,c))). [back_rewrite(17856),rewrite([48853(7),48940(18)])]. 69.32/69.60 49439 mult(A,mult(ld(B,ld(A,rd(C,A))),A)) = ld(rd(B,A),ld(A,C)). [back_rewrite(12923),rewrite([48940(5),48853(9)])]. 69.32/69.60 49443 ld(A,ld(rd(B,A),C)) = mult(ld(B,rd(C,A)),A). [back_rewrite(12777),rewrite([48853(5)])]. 69.32/69.60 49454 ld(mult(A,B),B) = ld(B,ld(A,B)). [back_rewrite(10795),rewrite([48853(4),48853(6)])]. 69.32/69.60 49500 mult(ld(A,mult(mult(B,A),ld(A,C))),A) = ld(A,mult(B,mult(C,A))). [back_rewrite(4000),rewrite([48853(10)])]. 69.32/69.60 49506 rd(ld(A,B),A) = ld(A,rd(B,A)). [back_rewrite(3240),rewrite([48853(3)])]. 69.32/69.60 49517 mult(ld(A,rd(B,A)),A) = ld(A,B). [back_rewrite(3032),rewrite([48853(6)])]. 69.32/69.60 49522 ld(A,mult(B,A)) = mult(ld(A,B),A). [back_rewrite(2086),rewrite([48853(4)])]. 69.32/69.60 49553 ld(ld(mult(c,A),unit),ld(b,c)) = mult(c,mult(rd(A,b),c)). [back_rewrite(48923),rewrite([48940(14)])]. 69.32/69.60 49554 ld(ld(mult(b,A),unit),ld(c,b)) = mult(b,mult(rd(A,c),b)). [back_rewrite(48922),rewrite([48940(14)])]. 69.32/69.60 49567 mult(A,mult(ld(ld(B,A),C),A)) = ld(ld(B,unit),mult(C,A)). [back_rewrite(48700),rewrite([48940(4)])]. 69.32/69.60 49571 mult(A,mult(ld(B,ld(C,unit)),A)) = ld(rd(B,A),ld(C,A)). [back_rewrite(48643),rewrite([48940(5)])]. 69.32/69.60 49718 mult(A,mult(A,mult(ld(mult(ld(B,A),A),B),A))) = mult(mult(B,A),mult(ld(A,B),A)). [back_rewrite(22319),rewrite([49135(2),48940(5),49522(9)])]. 69.32/69.60 49804 rd(mult(c,ld(b,c)),mult(c,mult(A,c))) = rd(rd(ld(b,c),A),c). [back_rewrite(21125),rewrite([48940(9)])]. 69.32/69.60 49873 mult(ld(ld(A,unit),B),mult(C,ld(ld(A,unit),B))) = mult(A,mult(mult(B,C),mult(A,B))). [back_rewrite(17782),rewrite([48940(8),48940(14),15(13),48940(12),13(11)])]. 69.32/69.60 50027 ld(mult(A,ld(B,C)),unit) = rd(ld(C,B),A). [back_rewrite(12905),rewrite([48940(6),48727(5),1013(4)]),flip(a)]. 69.32/69.60 50030 ld(rd(A,b),mult(b,c)) = mult(b,mult(ld(A,c),b)). [back_rewrite(12891),rewrite([48940(12)])]. 69.32/69.60 50032 mult(ld(A,B),mult(ld(C,A),ld(A,B))) = ld(mult(C,ld(B,A)),B). [back_rewrite(12883),rewrite([48940(5)])]. 69.32/69.60 50033 mult(A,mult(A,mult(ld(mult(B,A),C),A))) = ld(ld(A,unit),ld(B,mult(C,A))). [back_rewrite(12837),rewrite([48940(5),48940(4)])]. 69.32/69.60 50053 rd(mult(A,B),mult(B,mult(C,B))) = rd(rd(A,C),B). [back_rewrite(12273),rewrite([48940(3)])]. 69.32/69.60 50065 mult(ld(ld(A,unit),B),ld(ld(A,unit),B)) = mult(A,mult(B,mult(A,B))). [back_rewrite(10313),rewrite([48940(5),15(4),48940(3),13(2)]),flip(a)]. 69.32/69.60 50113 ld(ld(A,unit),B) = mult(A,B). [back_rewrite(3234),rewrite([48940(3),13(2)]),flip(a)]. 69.32/69.60 50149 ld(rd(A,B),mult(C,B)) = mult(B,mult(ld(A,C),B)). [back_rewrite(704),rewrite([48940(6)])]. 69.32/69.60 50216 ld(mult(mult(A,A),B),unit) = ld(mult(A,mult(A,B)),unit). [back_rewrite(48938),rewrite([48945(4)]),flip(a)]. 69.32/69.60 50226 mult(A,mult(ld(A,B),B)) = mult(B,B). [back_rewrite(48857),rewrite([50216(4),50113(7),1013(5),253(3),13810(3),49338(2)])]. 69.32/69.60 50316 ld(rd(mult(ld(b,A),b),c),ld(b,c)) = mult(c,ld(mult(A,b),c)). [back_rewrite(41064),rewrite([49137(16)])]. 69.32/69.60 50400 ld(rd(mult(A,B),mult(C,B)),B) = mult(B,ld(mult(A,ld(C,B)),B)). [back_rewrite(20117),rewrite([49137(8)])]. 69.32/69.60 50567 ld(rd(A,B),B) = mult(B,ld(A,B)). [back_rewrite(10855),rewrite([49137(4)])]. 69.32/69.60 50573 mult(A,mult(ld(A,B),ld(C,ld(A,B)))) = mult(rd(B,C),ld(A,B)). [back_rewrite(1233),rewrite([49137(4)])]. 69.32/69.60 50574 mult(rd(mult(A,B),C),B) = mult(A,mult(B,ld(C,B))). [back_rewrite(1037),rewrite([49137(5)])]. 69.32/69.60 50738 mult(mult(ld(A,B),B),A) = mult(ld(A,B),mult(B,A)). [back_rewrite(13806),rewrite([49338(2)])]. 69.32/69.60 50939 mult(ld(b,c),mult(A,ld(b,c))) = mult(c,mult(ld(b,A),ld(b,c))). [back_rewrite(49357),rewrite([50113(10)]),flip(a)]. 69.32/69.60 50993 rd(ld(A,B),mult(C,B)) = rd(B,mult(C,mult(A,B))). [back_rewrite(48712),rewrite([50027(5)])]. 69.32/69.60 50995 rd(mult(A,ld(B,A)),C) = rd(A,mult(rd(C,A),B)). [back_rewrite(48627),rewrite([50027(5),50567(2)])]. 69.32/69.60 51006 mult(mult(A,B),mult(ld(B,A),B)) = mult(B,ld(ld(A,B),mult(A,B))). [back_rewrite(49718),rewrite([50033(6),50113(6)]),flip(a)]. 69.32/69.60 51027 mult(A,mult(ld(A,B),mult(B,A))) = mult(B,mult(B,A)). [back_rewrite(22050),rewrite([50113(6)])]. 69.32/69.60 51046 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [back_rewrite(50065),rewrite([50113(3),50113(4)])]. 69.32/69.60 51062 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(mult(B,C),mult(A,B))). [back_rewrite(49873),rewrite([50113(3),50113(4)])]. 69.32/69.60 51077 mult(A,mult(ld(ld(B,A),C),A)) = mult(B,mult(C,A)). [back_rewrite(49567),rewrite([50113(8)])]. 69.32/69.60 51078 mult(mult(b,A),ld(c,b)) = mult(b,mult(rd(A,c),b)). [back_rewrite(49554),rewrite([50113(8)])]. 69.32/69.60 51079 mult(mult(c,A),ld(b,c)) = mult(c,mult(rd(A,b),c)). [back_rewrite(49553),rewrite([50113(8)])]. 69.32/69.60 51219 rd(mult(A,mult(B,C)),B) = mult(mult(A,B),rd(C,B)). [back_rewrite(7851),rewrite([50113(3)])]. 69.32/69.60 51230 ld(mult(A,rd(B,A)),mult(A,B)) = A. [back_rewrite(4042),rewrite([50113(5)])]. 69.32/69.60 51231 mult(A,ld(ld(B,A),mult(B,A))) = mult(B,mult(B,A)). [back_rewrite(3283),rewrite([50113(6),51006(4)])]. 69.32/69.60 51232 rd(mult(A,B),A) = mult(A,rd(B,A)). [back_rewrite(3043),rewrite([50113(3)])]. 69.32/69.60 51235 mult(mult(A,rd(B,C)),C) = mult(rd(A,C),mult(C,B)). [back_rewrite(1090),rewrite([50113(4)]),flip(a)]. 69.32/69.60 51311 rd(A,mult(A,mult(B,A))) = ld(mult(A,B),unit). [back_rewrite(48733),rewrite([50993(3)])]. 69.32/69.60 51330 rd(rd(ld(b,c),A),c) = rd(c,mult(mult(c,A),b)). [back_rewrite(49804),rewrite([50995(10),51232(7),12(6)]),flip(a)]. 69.32/69.60 51463 mult(mult(A,B),mult(ld(B,A),B)) = mult(A,mult(A,B)). [back_rewrite(51006),rewrite([51231(8)])]. 69.32/69.60 51621 ld(mult(A,B),unit) = ld(B,ld(A,unit)). [para(48583(a,1),1025(a,1,2)),flip(a)]. 69.32/69.60 51626 ld(ld(A,B),ld(C,unit)) = rd(ld(B,A),C). [para(1410(a,1),48583(a,1,2)),rewrite([51621(6)]),flip(a)]. 69.32/69.60 51834 rd(A,mult(A,mult(B,A))) = ld(B,ld(A,unit)). [back_rewrite(51311),rewrite([51621(6)])]. 69.32/69.60 51865 ld(mult(A,B),ld(A,unit)) = ld(B,ld(A,ld(A,unit))). [back_rewrite(50216),rewrite([51621(4),1103(3),51621(8)]),flip(a)]. 69.32/69.60 51886 ld(mult(A,B),ld(B,unit)) = ld(B,ld(A,ld(B,unit))). [back_rewrite(49034),rewrite([51621(7)])]. 69.32/69.60 51925 rd(ld(A,unit),B) = ld(A,ld(B,unit)). [back_rewrite(48730),rewrite([51621(6)])]. 69.32/69.60 51929 rd(ld(A,rd(B,A)),rd(C,A)) = ld(A,rd(B,C)). [back_rewrite(48694),rewrite([51621(8),48584(7)])]. 69.32/69.60 52144 rd(mult(A,A),B) = rd(A,rd(B,A)). [para(219(a,1),48584(a,1,1)),rewrite([48584(4)])]. 69.32/69.60 52147 ld(ld(A,B),ld(A,ld(C,unit))) = rd(A,mult(C,mult(B,A))). [para(253(a,1),48584(a,1,1)),rewrite([51621(5),51621(4)])]. 69.32/69.60 52149 rd(A,rd(B,C)) = mult(A,rd(C,B)). [para(48584(a,1),1013(a,1,2)),flip(a)]. 69.32/69.60 52159 rd(mult(A,B),mult(C,B)) = rd(B,mult(C,ld(A,B))). [para(10880(a,1),48584(a,1,1)),rewrite([48584(5)])]. 69.32/69.60 52173 rd(A,mult(B,mult(B,A))) = ld(B,ld(B,unit)). [para(22239(a,1),48584(a,2)),rewrite([1412(3),49338(2),50226(3),51621(3)]),flip(a)]. 69.32/69.60 52229 rd(mult(A,A),B) = mult(A,rd(A,B)). [back_rewrite(52144),rewrite([52149(4)])]. 69.32/69.60 52254 mult(ld(A,rd(B,A)),rd(A,C)) = ld(A,rd(B,C)). [back_rewrite(51929),rewrite([52149(4)])]. 69.32/69.60 52409 mult(A,ld(mult(B,ld(C,A)),A)) = mult(C,ld(B,A)). [back_rewrite(50400),rewrite([52159(3),26(4)]),flip(a)]. 69.32/69.60 52466 rd(mult(A,ld(B,C)),C) = rd(C,mult(B,ld(A,C))). [back_rewrite(10880),rewrite([52159(6)])]. 69.32/69.60 52531 mult(mult(A,B),ld(B,ld(C,unit))) = rd(B,mult(C,ld(A,B))). [para(48737(a,1),891(a,1,2,2)),rewrite([52466(8)])]. 69.32/69.60 52587 ld(mult(A,B),rd(B,C)) = ld(B,rd(ld(A,B),C)). [para(3052(a,1),48737(a,1,1)),rewrite([51925(5),51621(4),51626(4),51621(8),48584(7)]),flip(a)]. 69.32/69.60 52617 ld(ld(A,B),rd(B,C)) = ld(B,rd(mult(A,B),C)). [para(20240(a,1),48737(a,1,1)),rewrite([52149(5),48853(5),51621(8),48584(7)]),flip(a)]. 69.32/69.60 52641 ld(c,mult(A,ld(c,b))) = mult(ld(c,rd(A,c)),b). [para(43999(a,1),48737(a,1,1)),rewrite([1412(8),21(7),51621(14),48584(13),1412(11)]),flip(a)]. 69.32/69.60 52733 mult(ld(A,B),ld(B,C)) = mult(B,ld(mult(A,B),C)). [para(48853(a,1),253(a,1,1)),rewrite([703(3),48853(6)]),flip(a)]. 69.32/69.60 52735 ld(ld(A,B),C) = mult(ld(B,A),C). [para(1250(a,1),48853(a,1,1)),flip(a)]. 69.32/69.60 52769 mult(A,ld(mult(B,A),ld(C,unit))) = rd(ld(B,ld(C,A)),A). [para(48853(a,1),703(a,1,1,2)),flip(a)]. 69.32/69.60 52770 mult(mult(A,B),ld(B,C)) = mult(B,mult(ld(B,A),C)). [para(48853(a,1),703(a,2,2,1)),rewrite([52735(4),21(2),253(3),52735(5)])]. 69.32/69.60 52825 ld(A,rd(mult(B,C),A)) = mult(ld(A,B),rd(C,A)). [para(48853(a,1),12901(a,1,1)),rewrite([52735(3),52735(6),21(5)]),flip(a)]. 69.32/69.60 53105 ld(rd(A,B),C) = mult(rd(B,A),C). [para(48584(a,1),48853(a,1,1)),flip(a)]. 69.32/69.60 53111 mult(ld(A,B),mult(A,ld(mult(C,A),B))) = ld(mult(C,ld(B,A)),B). [back_rewrite(50032),rewrite([52733(4)])]. 69.32/69.60 53148 ld(A,rd(mult(B,A),C)) = mult(ld(A,B),rd(A,C)). [back_rewrite(52617),rewrite([52735(3)]),flip(a)]. 69.32/69.60 53173 rd(ld(A,ld(B,C)),C) = rd(C,mult(B,mult(A,C))). [back_rewrite(52147),rewrite([52735(5),52733(5),52769(5)])]. 69.32/69.60 53238 mult(A,mult(mult(ld(A,B),C),A)) = mult(B,mult(C,A)). [back_rewrite(51077),rewrite([52735(2)])]. 69.32/69.60 53330 ld(c,mult(ld(b,c),A)) = mult(ld(b,rd(A,c)),c). [back_rewrite(49263),rewrite([52735(5)])]. 69.32/69.60 53339 mult(mult(mult(A,ld(B,A)),C),ld(mult(A,C),B)) = A. [back_rewrite(49069),rewrite([52735(6),52735(3),50567(2)])]. 69.32/69.60 53434 rd(A,mult(B,ld(C,A))) = mult(A,rd(ld(A,C),B)). [back_rewrite(52531),rewrite([52770(5),1013(4)]),flip(a)]. 69.32/69.60 53496 ld(A,mult(B,mult(C,A))) = mult(mult(ld(A,B),C),A). [back_rewrite(49500),rewrite([52770(3),14(4)]),flip(a)]. 69.32/69.60 53547 mult(c,mult(ld(c,A),ld(c,b))) = rd(mult(A,b),c). [back_rewrite(15063),rewrite([52770(8)])]. 69.32/69.60 53585 mult(b,mult(ld(b,A),ld(b,c))) = rd(mult(A,c),b). [back_rewrite(4441),rewrite([52770(8)])]. 69.32/69.60 53611 rd(mult(A,mult(B,C)),C) = mult(C,mult(ld(C,A),B)). [back_rewrite(253),rewrite([52770(6)])]. 69.32/69.60 53854 mult(rd(c,mult(ld(b,A),b)),ld(b,c)) = mult(c,ld(mult(A,b),c)). [back_rewrite(50316),rewrite([53105(10)])]. 69.32/69.60 53866 mult(rd(A,B),mult(C,A)) = mult(A,mult(ld(B,C),A)). [back_rewrite(50149),rewrite([53105(3)])]. 69.32/69.60 53871 mult(rd(b,A),mult(b,c)) = mult(b,mult(ld(A,c),b)). [back_rewrite(50030),rewrite([53105(6)])]. 69.32/69.60 53922 mult(A,mult(ld(B,ld(C,unit)),A)) = mult(rd(A,B),ld(C,A)). [back_rewrite(49571),rewrite([53105(8)])]. 69.32/69.60 53925 ld(A,mult(rd(A,B),C)) = mult(ld(B,rd(C,A)),A). [back_rewrite(49443),rewrite([53105(2)])]. 69.32/69.60 53926 mult(A,mult(ld(B,ld(A,rd(C,A))),A)) = mult(rd(A,B),ld(A,C)). [back_rewrite(49439),rewrite([53105(8)])]. 69.32/69.60 54079 rd(mult(rd(A,B),C),A) = mult(A,ld(B,rd(C,A))). [back_rewrite(21339),rewrite([53105(2)])]. 69.32/69.60 54221 rd(mult(A,ld(B,C)),C) = mult(C,rd(ld(C,A),B)). [back_rewrite(52466),rewrite([53434(6)])]. 69.32/69.60 54985 mult(A,mult(ld(A,B),A)) = mult(B,A). [para(11(a,1),48940(a,1,1)),flip(a)]. 69.32/69.60 55022 ld(mult(A,mult(B,A)),mult(A,B)) = ld(A,unit). [para(48940(a,1),1014(a,1,1))]. 69.32/69.60 55067 mult(A,ld(mult(B,A),mult(A,C))) = mult(ld(B,A),C). [para(48940(a,1),703(a,1,1,2)),rewrite([49136(3),12(4)]),flip(a)]. 69.32/69.60 55592 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(49137(a,1),296(a,2)),rewrite([52770(3),50226(3),49522(5),51463(6)])]. 69.32/69.60 55878 rd(A,mult(ld(B,C),B)) = mult(A,ld(B,ld(C,B))). [para(49454(a,1),1412(a,2,2)),rewrite([49522(2)])]. 69.32/69.60 55962 mult(ld(b,c),ld(A,c)) = mult(c,ld(mult(A,b),c)). [back_rewrite(53854),rewrite([55878(6),51079(10),49506(7),48737(6),53922(8),4423(3)])]. 69.32/69.60 56371 rd(rd(A,B),A) = rd(A,mult(A,B)). [para(51230(a,1),48737(a,1,1)),rewrite([51621(6),53105(6),1013(6)]),flip(a)]. 69.32/69.60 56496 mult(A,ld(B,ld(C,unit))) = rd(A,mult(C,B)). [para(51621(a,1),1013(a,1,2))]. 69.32/69.60 56528 mult(ld(A,ld(B,unit)),C) = ld(mult(B,A),C). [para(51621(a,1),48853(a,1,1))]. 69.32/69.60 56617 mult(rd(A,B),ld(C,A)) = mult(A,ld(mult(C,B),A)). [back_rewrite(53922),rewrite([56528(4)]),flip(a)]. 69.32/69.60 56712 mult(A,mult(ld(A,B),ld(C,ld(A,B)))) = mult(B,ld(mult(A,C),B)). [back_rewrite(50573),rewrite([56617(8)])]. 69.32/69.60 56916 rd(A,mult(B,ld(C,D))) = mult(A,rd(ld(D,C),B)). [para(1412(a,1),52149(a,1,2))]. 69.32/69.60 56922 mult(ld(A,mult(B,rd(C,D))),rd(D,C)) = mult(rd(C,D),ld(mult(A,rd(C,D)),B)). [para(52149(a,1),703(a,1))]. 69.32/69.60 57069 rd(A,mult(ld(B,C),D)) = mult(A,ld(D,ld(C,B))). [para(52735(a,1),1412(a,1,2))]. 69.32/69.60 57107 ld(mult(ld(A,B),C),D) = mult(ld(C,ld(B,A)),D). [para(52735(a,1),52735(a,1,1))]. 69.32/69.60 57430 rd(A,mult(rd(B,C),D)) = mult(A,ld(D,rd(C,B))). [para(53105(a,1),1412(a,1,2))]. 69.32/69.60 57431 ld(mult(A,ld(B,C)),D) = mult(rd(ld(C,B),A),D). [para(1412(a,1),53105(a,1,1))]. 69.32/69.60 57460 ld(mult(A,rd(B,C)),D) = mult(rd(rd(C,B),A),D). [para(52149(a,1),53105(a,1,1))]. 69.32/69.60 57461 ld(mult(rd(A,B),C),D) = mult(ld(C,rd(B,A)),D). [para(53105(a,1),52735(a,1,1))]. 69.32/69.60 57494 rd(mult(A,ld(B,A)),C) = mult(A,ld(B,rd(A,C))). [back_rewrite(50995),rewrite([57430(6)])]. 69.32/69.60 57653 mult(ld(A,B),mult(A,ld(mult(C,A),B))) = mult(rd(ld(A,B),C),B). [back_rewrite(53111),rewrite([57431(8)])]. 69.32/69.60 57658 mult(A,mult(rd(ld(A,B),C),A)) = mult(B,ld(C,A)). [back_rewrite(52409),rewrite([57431(3)])]. 69.32/69.60 57855 mult(ld(A,mult(B,rd(C,D))),rd(D,C)) = mult(rd(C,D),mult(rd(rd(D,C),A),B)). [back_rewrite(56922),rewrite([57460(9)])]. 69.32/69.60 58628 mult(ld(A,rd(B,C)),mult(C,mult(ld(A,rd(B,C)),C))) = mult(ld(A,rd(B,C)),mult(rd(C,A),B)). [para(21362(a,1),52173(a,1,2,2)),rewrite([1013(8),12(6),1412(5),53105(4),51621(13),52735(12),53105(10),9(12),53925(11),57107(12),53105(7),53925(8),51046(12)]),flip(a)]. 69.32/69.60 58934 mult(mult(A,mult(B,A)),ld(A,C)) = mult(mult(A,B),C) | rd(C,A) = ld(A,C). [para(55022(a,1),935(a,1,2,1)),rewrite([48853(5),55022(11),48853(10),55022(12),1013(11)]),flip(b)]. 69.32/69.60 59104 mult(A,ld(B,ld(C,ld(D,unit)))) = rd(A,mult(mult(D,C),B)). [para(51621(a,1),56496(a,1,2,2))]. 69.32/69.60 59165 mult(ld(A,ld(B,ld(C,unit))),D) = ld(mult(mult(C,B),A),D). [para(51621(a,1),56528(a,1,1,2))]. 69.32/69.60 59518 mult(A,mult(mult(ld(A,B),C),B)) = mult(B,mult(C,B)). [para(49136(a,1),11(a,1,2))]. 69.32/69.60 59568 mult(A,mult(mult(mult(ld(A,B),C),B),A)) = mult(mult(B,mult(C,B)),A). [para(49136(a,1),54985(a,1,2,1))]. 69.32/69.60 60520 rd(rd(rd(A,B),C),A) = rd(A,mult(mult(A,C),B)). [para(49137(a,1),50053(a,1,1)),rewrite([57494(5),51834(3),59104(5)]),flip(a)]. 69.32/69.60 61670 rd(ld(A,mult(B,C)),B) = mult(ld(A,B),rd(C,B)). [para(48853(a,1),51219(a,1,1)),rewrite([48853(6)])]. 69.32/69.60 62169 mult(A,mult(ld(B,rd(C,A)),A)) = mult(rd(A,B),C). [para(21362(a,1),51865(a,1,1)),rewrite([51621(7),52735(6),53105(4),9(6),53925(5),52735(6),21(2),51621(14),52735(13),53105(11),9(13),53925(12),57107(13),53105(8),53925(9),51046(13),58628(13),14(12)])]. 69.32/69.60 62269 mult(ld(b,ld(b,c)),rd(b,A)) = ld(b,rd(c,A)). [para(4423(a,1),52254(a,1,1,2))]. 69.32/69.60 62277 mult(ld(c,ld(c,b)),rd(c,A)) = ld(c,rd(b,A)). [para(15049(a,1),52254(a,1,1,2))]. 69.32/69.60 62557 ld(mult(A,mult(B,A)),C) = ld(A,ld(B,ld(A,C))). [para(51834(a,1),52587(a,2,2)),rewrite([57069(6),57431(5),49137(5),56712(6),49140(5),1014(2),51925(4),51621(3),59165(5),48940(2),52735(6),9(6)])]. 69.32/69.60 62716 mult(ld(b,c),mult(b,ld(c,ld(b,A)))) = mult(ld(b,rd(A,c)),c). [para(49517(a,1),52641(a,1,2)),rewrite([52735(5),53330(6),1412(14),52735(15),50939(15),51232(17),54221(16),14(18),51235(16),4423(9)]),flip(a)]. 69.32/69.60 62886 mult(mult(A,mult(B,A)),ld(A,C)) = mult(A,mult(B,C)). [para(14(a,1),52770(a,2,2,1)),rewrite([48940(2)])]. 69.32/69.60 62888 mult(mult(A,mult(B,B)),ld(B,C)) = mult(B,mult(mult(ld(B,A),B),C)). [para(27(a,1),52770(a,1,1)),rewrite([49522(6)])]. 69.32/69.60 62924 mult(mult(A,mult(ld(A,B),C)),mult(B,A)) = mult(B,mult(C,mult(B,A))). [para(52770(a,1),48940(a,1,1)),rewrite([51062(10),11(7)])]. 69.32/69.60 62958 mult(mult(A,B),C) = mult(A,mult(B,C)) | rd(C,A) = ld(A,C). [back_rewrite(58934),rewrite([62886(4)]),flip(a)]. 69.32/69.60 62980 mult(mult(A,ld(c,b)),mult(c,c)) = mult(b,mult(mult(ld(b,A),b),c)). [back_rewrite(15538),rewrite([62888(16)])]. 69.32/69.60 63146 rd(ld(A,B),mult(A,C)) = ld(A,rd(rd(B,C),A)). [para(1013(a,1),52825(a,1,2,1)),rewrite([51925(7),56496(8)]),flip(a)]. 69.32/69.60 63198 mult(ld(A,rd(B,A)),mult(A,C)) = ld(A,mult(B,C)). [para(52825(a,1),49517(a,1,1)),rewrite([51235(4),49506(2)])]. 69.32/69.60 63694 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [para(14(a,1),53238(a,1,2,1,1)),flip(a)]. 69.32/69.60 63709 mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))). [back_rewrite(62924),rewrite([63694(5),59568(5)])]. 69.32/69.60 63957 mult(mult(A,ld(B,A)),C) = mult(A,ld(B,mult(A,C))). [para(53339(a,1),12(a,1,1)),rewrite([1412(3)]),flip(a)]. 69.32/69.60 64104 rd(mult(mult(A,B),C),A) = mult(A,mult(B,rd(C,A))). [para(1013(a,1),53496(a,1,2,2)),rewrite([52735(5),21(2),52735(6),21(5),1013(8)]),flip(a)]. 69.32/69.60 64115 ld(A,mult(B,ld(A,C))) = mult(ld(A,rd(B,A)),C). [para(49517(a,1),53496(a,1,2,2)),rewrite([296(8),49506(5),13(7)])]. 69.32/69.60 64171 mult(rd(mult(A,c),b),ld(c,b)) = mult(b,mult(ld(b,rd(A,c)),c)). [para(53585(a,1),51078(a,1,1)),rewrite([54221(17),51235(19),4423(12),62716(19)])]. 69.32/69.60 64209 mult(ld(b,c),mult(b,ld(c,A))) = mult(b,mult(ld(b,rd(A,c)),c)). [para(53585(a,1),53611(a,1,1)),rewrite([1412(8),64171(8),52735(16),15072(16),63957(19),11(17)]),flip(a)]. 69.32/69.60 64244 mult(b,mult(ld(A,ld(b,c)),b)) = mult(rd(b,A),c). [para(4096(a,1),53866(a,1,2)),flip(a)]. 69.32/69.60 64270 mult(ld(A,ld(B,rd(C,B))),B) = ld(mult(B,A),C). [para(49506(a,1),53925(a,2,1,2)),rewrite([64115(4),56371(2),1025(3),51621(3),56528(4)]),flip(a)]. 69.32/69.60 64282 mult(rd(A,B),ld(A,C)) = mult(A,ld(mult(A,B),C)). [back_rewrite(53926),rewrite([64270(4)]),flip(a)]. 69.32/69.60 64482 ld(mult(A,B),mult(B,C)) = ld(B,mult(ld(A,B),C)). [para(55067(a,1),14(a,1,2)),flip(a)]. 69.32/69.60 64488 mult(ld(b,c),mult(b,ld(mult(b,c),A))) = ld(b,A). [para(4444(a,1),55067(a,2,1)),rewrite([64482(13),4444(11),48853(10),52735(9),52733(9),125(7),48853(14)])]. 69.32/69.60 64899 rd(A,mult(B,mult(ld(C,D),E))) = mult(A,rd(ld(E,ld(D,C)),B)). [para(52735(a,1),56916(a,1,2,2))]. 69.32/69.60 65615 rd(mult(A,rd(ld(A,B),C)),B) = mult(B,rd(A,mult(B,mult(C,A)))). [para(52770(a,1),60520(a,2,2)),rewrite([1412(2),54221(3),64899(8),53173(7)])]. 69.32/69.60 65755 mult(mult(A,B),ld(A,C)) = mult(A,mult(rd(B,A),C)). [para(61670(a,1),57658(a,1,2,1)),rewrite([53238(5)]),flip(a)]. 69.32/69.60 65823 ld(mult(mult(A,B),C),mult(A,D)) = ld(A,mult(rd(rd(A,C),B),D)). [para(62169(a,1),53925(a,1,2)),rewrite([52149(6),57855(9),3294(10),52825(9),14(11),51235(10),49506(8),60520(7),1025(8),51621(8),51621(7),59165(10)]),flip(a)]. 69.32/69.60 66230 mult(ld(A,ld(B,ld(B,C))),ld(C,B)) = rd(C,mult(B,mult(A,C))). [para(63146(a,1),53173(a,2)),rewrite([1412(5),56916(8),65615(9),14(10)])]. 69.32/69.60 66433 mult(A,mult(rd(ld(A,B),C),mult(A,D))) = mult(mult(B,ld(C,A)),D). [para(57658(a,1),63709(a,1,1)),flip(a)]. 69.32/69.60 70047 rd(c,a) = ld(a,c). [resolve(62958,a,20,a)]. 69.32/69.60 70051 rd(b,a) = ld(a,b). [para(62958(a,1),106(a,1)),rewrite([125(11)]),xx(b)]. 69.32/69.60 70067 mult(ld(a,c),a) = c. [para(70047(a,1),13(a,1,1))]. 69.32/69.60 70070 ld(c,ld(a,c)) = ld(a,unit). [para(70047(a,1),1025(a,1,2))]. 69.32/69.60 70078 mult(ld(a,c),c) = mult(c,ld(a,c)). [para(70047(a,1),49137(a,1,1))]. 69.32/69.60 70098 ld(mult(A,c),ld(a,c)) = ld(c,rd(ld(A,c),a)). [para(70047(a,1),52587(a,1,2))]. 69.32/69.60 70137 mult(a,mult(ld(A,ld(a,c)),a)) = mult(rd(a,A),c). [para(70047(a,1),62169(a,1,2,1,2))]. 69.32/69.60 70140 mult(ld(b,ld(b,c)),ld(a,b)) = ld(b,ld(a,c)). [para(70047(a,1),62269(a,2,2)),rewrite([70051(8)])]. 69.32/69.60 70141 mult(ld(c,ld(c,b)),ld(a,c)) = ld(c,ld(a,b)). [para(70047(a,1),62277(a,1,2)),rewrite([70051(13)])]. 69.32/69.60 70261 mult(ld(a,b),a) = b. [para(70051(a,1),13(a,1,1))]. 69.32/69.60 70272 mult(ld(a,b),b) = mult(b,ld(a,b)). [para(70051(a,1),49137(a,1,1))]. 69.32/69.60 70297 mult(ld(a,b),mult(b,c)) = mult(b,mult(ld(a,c),b)). [para(70051(a,1),53871(a,1,1))]. 69.32/69.60 70453 mult(ld(c,a),c) = a. [para(70067(a,1),14(a,1,2)),rewrite([52735(5)])]. 69.32/69.60 70459 rd(a,c) = ld(c,a). [para(70067(a,1),48583(a,1,2)),rewrite([52735(8),9(8)])]. 69.32/69.60 70460 mult(c,a) = mult(a,c). [para(70067(a,1),48940(a,2,2)),rewrite([11(5)])]. 69.32/69.60 70472 ld(c,ld(a,unit)) = ld(a,ld(c,unit)). [para(70067(a,1),51886(a,1,1)),rewrite([52735(13),1013(13),48737(11)])]. 69.32/69.60 70546 mult(ld(b,a),b) = a. [para(70261(a,1),14(a,1,2)),rewrite([52735(5)])]. 69.32/69.60 70552 rd(a,b) = ld(b,a). [para(70261(a,1),48583(a,1,2)),rewrite([52735(8),9(8)])]. 69.32/69.60 70553 mult(b,a) = mult(a,b). [para(70261(a,1),48940(a,2,2)),rewrite([11(5)])]. 69.32/69.60 70565 ld(b,ld(a,unit)) = ld(a,ld(b,unit)). [para(70261(a,1),51886(a,1,1)),rewrite([52735(13),1013(13),48737(11)])]. 69.32/69.60 70574 mult(b,mult(a,b)) = mult(a,mult(b,b)). [para(70261(a,1),59518(a,1,2,1)),flip(a)]. 69.32/69.60 70662 mult(ld(c,a),mult(c,ld(A,c))) = mult(rd(a,A),c). [para(70453(a,1),50574(a,1,1,1)),flip(a)]. 69.32/69.60 70730 mult(ld(c,a),mult(b,mult(c,c))) = mult(mult(a,b),c). [para(70459(a,1),317(a,1,1))]. 69.32/69.60 71007 rd(mult(ld(b,a),A),a) = mult(a,ld(b,rd(A,a))). [para(70552(a,1),54079(a,1,1,1))]. 69.32/69.60 71087 ld(b,ld(a,ld(b,unit))) = ld(a,ld(b,ld(b,unit))). [para(70553(a,1),51865(a,1,1)),rewrite([51886(7)])]. 69.32/69.60 71106 rd(mult(mult(a,b),A),b) = mult(b,mult(a,rd(A,b))). [para(70553(a,1),64104(a,1,1,1))]. 69.32/69.60 71701 ld(mult(a,mult(b,b)),A) = ld(b,ld(a,ld(b,A))). [para(70574(a,1),62557(a,1,1))]. 69.32/69.60 72082 mult(b,mult(ld(b,rd(c,mult(mult(a,c),b))),c)) = ld(b,ld(a,c)). [para(70098(a,1),64488(a,1,2,2)),rewrite([64209(13),51330(9),70460(6)])]. 69.32/69.60 72305 mult(mult(ld(c,a),A),ld(a,B)) = mult(a,mult(ld(c,rd(A,a)),B)). [para(70137(a,1),64282(a,2,2,1)),rewrite([48583(8),52735(6),52735(4),9(6),57461(13)])]. 69.32/69.60 72333 mult(rd(ld(b,c),a),c) = mult(c,ld(a,ld(b,c))). [para(70140(a,1),59518(a,1,2,1)),rewrite([53585(11),70078(5),57494(7),4423(5),52733(17),57653(18)]),flip(a)]. 69.32/69.60 72342 mult(rd(ld(c,b),a),b) = mult(b,ld(a,ld(c,b))). [para(70141(a,1),59518(a,1,2,1)),rewrite([53547(11),70272(5),57494(7),15049(5),52733(17),57653(18)]),flip(a)]. 69.32/69.60 72560 mult(ld(a,b),mult(b,mult(ld(b,c),a))) = mult(b,c). [para(70297(a,1),51232(a,1,1)),rewrite([1412(11),65755(11),12(8),70067(6),1412(13),65755(13),4423(10)]),flip(a)]. 69.32/69.60 73099 mult(rd(ld(c,a),b),mult(b,mult(c,c))) = mult(mult(ld(b,a),c),b). [para(70662(a,1),14846(a,1,1)),rewrite([70552(3)]),flip(a)]. 69.32/69.60 73242 mult(mult(a,c),b) = mult(mult(a,b),c). [para(17(b,1),70730(a,2)),rewrite([125(9),70730(20)]),flip(b),unit_del(a,106)]. 69.32/69.60 73252 ld(b,ld(a,c)) = ld(a,ld(b,c)). [back_rewrite(72082),rewrite([73242(8),48583(9),51621(7),70565(7),71087(8),59165(10),55592(6),70553(5),70574(6),71701(8),11(9)]),flip(a)]. 69.32/69.60 73268 mult(b,mult(a,ld(b,c))) = mult(a,c). [para(73242(a,1),12(a,1,1)),rewrite([71106(7),4423(5)])]. 69.32/69.60 73273 mult(mult(a,b),mult(c,c)) = mult(a,mult(b,mult(c,c))). [para(73242(a,1),317(a,2,1)),rewrite([12(5),27(14)]),flip(a)]. 69.32/69.60 73278 ld(a,mult(mult(ld(b,a),c),b)) = c. [para(73242(a,1),184(b,1,1)),rewrite([73242(5),125(9),73273(23),65823(24),70459(15),73099(23)]),unit_del(a,20)]. 69.32/69.60 73280 rd(b,mult(mult(a,b),c)) = ld(a,ld(c,unit)). [para(73242(a,1),48583(a,1,2)),rewrite([51621(12),70472(12)])]. 69.32/69.60 73311 mult(c,mult(a,ld(c,b))) = mult(a,b). [para(73242(a,1),53547(a,2,1)),rewrite([49522(6),70453(6),12(14)])]. 69.32/69.60 73320 rd(ld(b,c),a) = ld(mult(a,b),c). [para(73242(a,1),55962(a,2,2,1)),rewrite([49454(8),70070(8),1013(7),49454(13),11(14)])]. 69.32/69.60 73360 mult(ld(mult(a,b),c),c) = mult(c,ld(a,ld(b,c))). [back_rewrite(72333),rewrite([73320(5)])]. 69.32/69.60 73364 mult(b,ld(a,ld(b,c))) = ld(a,c). [para(73252(a,1),11(a,1,2))]. 69.32/69.60 73365 mult(A,mult(ld(c,b),a)) = mult(A,mult(ld(c,a),b)). [para(73252(a,1),1412(a,1,2)),rewrite([1412(6),52735(5),52735(11)])]. 69.32/69.60 73371 mult(ld(a,c),b) = mult(ld(a,b),c). [para(73252(a,1),54985(a,1,2,1)),rewrite([64244(9),70051(3)]),flip(a)]. 69.32/69.60 73426 mult(ld(b,c),a) = mult(ld(b,a),c). [para(73252(a,1),70137(a,1,2,1)),rewrite([54985(9),70552(8)])]. 69.32/69.60 73439 mult(ld(a,b),mult(b,mult(ld(b,a),c))) = mult(b,c). [back_rewrite(72560),rewrite([73426(9)])]. 69.32/69.60 73445 mult(b,mult(ld(b,a),c)) = mult(a,c). [para(73268(a,1),16(a,2)),rewrite([70553(3),52770(7),73426(17),73268(25)]),merge(b)]. 69.32/69.60 73446 rd(ld(c,b),a) = ld(mult(a,c),b). [para(73268(a,1),1014(a,1,1)),rewrite([51621(12),52735(12),1013(12)]),flip(a)]. 69.32/69.60 73457 mult(ld(c,a),mult(b,c)) = mult(c,mult(ld(c,a),b)). [para(73268(a,1),53611(a,1,1)),rewrite([1412(7),52770(7),52735(15),15072(15),63957(17),70553(15),64209(18),53148(15),15049(14),296(17),66433(18),296(14),70459(10)]),flip(a)]. 69.32/69.60 73491 mult(ld(a,b),mult(a,c)) = mult(b,c). [back_rewrite(73439),rewrite([73445(10)])]. 69.32/69.60 73498 mult(ld(mult(a,c),b),b) = mult(b,ld(a,ld(c,b))). [back_rewrite(72342),rewrite([73446(5)])]. 69.32/69.60 73516 mult(ld(a,ld(b,c)),mult(a,b)) = c. [para(73278(a,1),63198(a,2)),rewrite([71007(8),70047(6),73252(7),11(8)])]. 69.32/69.60 73523 mult(c,mult(ld(c,a),b)) = mult(a,b). [para(73311(a,1),16(a,2)),rewrite([70460(3),52770(7),73365(18),73311(25)]),merge(b)]. 69.32/69.60 73526 mult(mult(a,b),c) = mult(c,mult(a,b)). [para(73311(a,1),48940(a,1,1)),rewrite([296(13),70459(9),73457(13),73523(13)])]. 69.32/69.60 73532 mult(mult(c,ld(a,ld(b,c))),mult(a,b)) = mult(c,c). [para(73311(a,1),50738(a,2,2)),rewrite([57431(7),73320(5),73360(7),48940(9),63709(15),73311(13),73516(10),57431(10),73320(8),73360(10)]),flip(a)]. 69.32/69.60 73534 mult(c,mult(a,b)) = mult(b,mult(a,c)). [para(73311(a,1),51027(a,1,2,2)),rewrite([57431(12),73320(10),73360(12),73532(16),62980(9),70546(6),73311(13)]),flip(a)]. 69.32/69.60 73539 rd(b,mult(b,mult(a,c))) = rd(b,mult(a,mult(b,c))). [para(73311(a,1),53173(a,2,2)),rewrite([1412(11),66230(11),73534(6),50993(14),125(12)])]. 69.32/69.60 73606 rd(b,mult(a,mult(b,c))) = ld(a,ld(c,unit)). [back_rewrite(73280),rewrite([73526(6),73534(6),73539(7)])]. 69.33/69.60 73615 mult(b,mult(a,c)) != mult(a,mult(b,c)). [back_rewrite(20),rewrite([73526(5),73534(5)])]. 69.33/69.60 73623 rd(b,mult(b,mult(a,c))) = ld(a,ld(c,unit)). [back_rewrite(73539),rewrite([73606(14)])]. 69.33/69.60 73729 mult(ld(c,b),a) = mult(ld(c,a),b). [para(73364(a,1),1014(a,1,1)),rewrite([52735(5),52735(12),52735(10),9(12)]),flip(a)]. 69.33/69.60 73731 mult(ld(a,ld(b,c)),b) = ld(a,c). [para(73364(a,1),54985(a,2)),rewrite([52735(12),52735(10),73729(10),27(12),72305(18),52229(12),70051(11),49140(13),73446(11),73498(13),65755(17),53173(14),73534(13),73623(14),56528(14),70460(10),49454(12),70070(12),1013(11),70051(9),11(10)])]. 69.33/69.60 73797 mult(ld(a,b),c) = mult(b,ld(a,c)). [para(73371(a,1),54985(a,2)),rewrite([73252(6),73731(8)]),flip(a)]. 69.33/69.60 73828 $F. [para(73371(a,1),53238(a,1,2,1)),rewrite([73797(6),296(8),70051(4),70460(7),73491(8),70553(9),73534(10)]),flip(a),unit_del(a,73615)]. 69.33/69.60 69.33/69.60 % SZS output end Refutation 69.33/69.60 ============================== end of proof ========================== 69.33/69.60 69.33/69.60 ============================== STATISTICS ============================ 69.33/69.60 69.33/69.60 Given=2808. Generated=2805067. Kept=73819. proofs=1. 69.33/69.60 Usable=1059. Sos=9999. Demods=9068. Limbo=45, Disabled=62728. Hints=0. 69.33/69.60 Megabytes=58.11. 69.33/69.60 User_CPU=67.07, System_CPU=1.55, Wall_clock=68. 69.33/69.60 69.33/69.60 ============================== end of statistics ===================== 69.33/69.60 69.33/69.60 ============================== end of search ========================= 69.33/69.60 69.33/69.60 THEOREM PROVED 69.33/69.60 % SZS status Theorem 69.33/69.60 69.33/69.60 Exiting with 1 proof. 69.33/69.60 69.33/69.60 Process 29388 exit (max_proofs) Tue Jul 13 15:11:23 2021 69.33/69.60 Prover9 interrupted 69.33/69.61 EOF