0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n005.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 : 180 0.12/0.33 % DateTime : Thu Aug 29 13:22:03 EDT 2019 0.12/0.33 % CPUTime : 3.04/3.35 ============================== Prover9 =============================== 3.04/3.35 Prover9 (32) version 2009-11A, November 2009. 3.04/3.35 Process 7605 was started by sandbox on n005.cluster.edu, 3.04/3.35 Thu Aug 29 13:22:04 2019 3.04/3.35 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_7452_n005.cluster.edu". 3.04/3.35 ============================== end of head =========================== 3.04/3.35 3.04/3.35 ============================== INPUT ================================= 3.04/3.35 3.04/3.35 % Reading from file /tmp/Prover9_7452_n005.cluster.edu 3.04/3.35 3.04/3.35 set(prolog_style_variables). 3.04/3.35 set(auto2). 3.04/3.35 % set(auto2) -> set(auto). 3.04/3.35 % set(auto) -> set(auto_inference). 3.04/3.35 % set(auto) -> set(auto_setup). 3.04/3.35 % set(auto_setup) -> set(predicate_elim). 3.04/3.35 % set(auto_setup) -> assign(eq_defs, unfold). 3.04/3.35 % set(auto) -> set(auto_limits). 3.04/3.35 % set(auto_limits) -> assign(max_weight, "100.000"). 3.04/3.35 % set(auto_limits) -> assign(sos_limit, 20000). 3.04/3.35 % set(auto) -> set(auto_denials). 3.04/3.35 % set(auto) -> set(auto_process). 3.04/3.35 % set(auto2) -> assign(new_constants, 1). 3.04/3.35 % set(auto2) -> assign(fold_denial_max, 3). 3.04/3.35 % set(auto2) -> assign(max_weight, "200.000"). 3.04/3.35 % set(auto2) -> assign(max_hours, 1). 3.04/3.35 % assign(max_hours, 1) -> assign(max_seconds, 3600). 3.04/3.35 % set(auto2) -> assign(max_seconds, 0). 3.04/3.35 % set(auto2) -> assign(max_minutes, 5). 3.04/3.35 % assign(max_minutes, 5) -> assign(max_seconds, 300). 3.04/3.35 % set(auto2) -> set(sort_initial_sos). 3.04/3.35 % set(auto2) -> assign(sos_limit, -1). 3.04/3.35 % set(auto2) -> assign(lrs_ticks, 3000). 3.04/3.35 % set(auto2) -> assign(max_megs, 400). 3.04/3.35 % set(auto2) -> assign(stats, some). 3.04/3.35 % set(auto2) -> clear(echo_input). 3.04/3.35 % set(auto2) -> set(quiet). 3.04/3.35 % set(auto2) -> clear(print_initial_clauses). 3.04/3.35 % set(auto2) -> clear(print_given). 3.04/3.35 assign(lrs_ticks,-1). 3.04/3.35 assign(sos_limit,10000). 3.04/3.35 assign(order,kbo). 3.04/3.35 set(lex_order_vars). 3.04/3.35 clear(print_given). 3.04/3.35 3.04/3.35 % formulas(sos). % not echoed (9 formulas) 3.04/3.35 3.04/3.35 ============================== end of input ========================== 3.04/3.35 3.04/3.35 % From the command line: assign(max_seconds, 180). 3.04/3.35 3.04/3.35 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 3.04/3.35 3.04/3.35 % Formulas that are not ordinary clauses: 3.04/3.35 1 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 3.04/3.35 2 (all X0 all X1 all X2 (mult(X0,mult(X2,X1)) = mult(mult(X0,X2),X1) & mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2)) | mult(X0,mult(X1,X2)) = mult(X0,mult(X2,X1)) & mult(mult(X0,X2),X1) = mult(mult(X0,X1),X2))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 3.04/3.35 3 (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]. 3.04/3.35 4 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption]. 3.04/3.35 5 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause). [assumption]. 3.04/3.35 6 (all A mult(unit,A) = A) # label(f06) # label(axiom) # label(non_clause). [assumption]. 3.04/3.35 7 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 3.04/3.35 8 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 3.04/3.35 3.04/3.35 ============================== end of process non-clausal formulas === 3.04/3.35 3.04/3.35 ============================== PROCESS INITIAL CLAUSES =============== 3.04/3.35 3.04/3.35 ============================== PREDICATE ELIMINATION ================= 3.04/3.35 3.04/3.35 ============================== end predicate elimination ============= 3.04/3.35 3.04/3.35 Auto_denials: (non-Horn, no changes). 3.04/3.35 3.04/3.35 Term ordering decisions: 3.04/3.35 Function symbol KB weights: unit=1. a=1. b=1. c=1. mult=1. ld=1. rd=1. 3.04/3.35 3.04/3.35 ============================== end of process initial clauses ======== 3.04/3.35 3.04/3.35 ============================== CLAUSES FOR SEARCH ==================== 3.04/3.35 3.04/3.35 ============================== end of clauses for search ============= 3.04/3.35 3.04/3.35 ============================== SEARCH ================================ 3.04/3.35 3.04/3.35 % Starting search at 0.01 seconds. 3.04/3.35 3.04/3.35 Low Water (keep): wt=101.000, iters=3426 3.04/3.35 3.04/3.35 Low Water (keep): wt=100.000, iters=3418 3.04/3.35 3.04/3.35 Low Water (keep): wt=85.000, iters=3403 3.04/3.35 3.04/3.35 Low Water (keep): wt=81.000, iters=3334 3.04/3.35 3.04/3.35 Low Water (keep): wt=77.000, iters=3361 3.04/3.35 3.04/3.35 Low Water (keep): wt=74.000, iters=3485 8.83/9.13 8.83/9.13 Low Water (keep): wt=69.000, iters=3343 8.83/9.13 8.83/9.13 Low Water (keep): wt=66.000, iters=3350 8.83/9.13 8.83/9.13 Low Water (keep): wt=65.000, iters=3478 8.83/9.13 8.83/9.13 Low Water (keep): wt=62.000, iters=3380 8.83/9.13 8.83/9.13 Low Water (keep): wt=61.000, iters=3475 8.83/9.13 8.83/9.13 Low Water (keep): wt=60.000, iters=3348 8.83/9.13 8.83/9.13 Low Water (keep): wt=58.000, iters=3526 8.83/9.13 8.83/9.13 Low Water (keep): wt=57.000, iters=3476 8.83/9.13 8.83/9.13 Low Water (keep): wt=56.000, iters=3391 8.83/9.13 8.83/9.13 Low Water (keep): wt=54.000, iters=3383 8.83/9.13 8.83/9.13 Low Water (keep): wt=53.000, iters=3390 8.83/9.13 8.83/9.13 Low Water (keep): wt=52.000, iters=3418 8.83/9.13 8.83/9.13 Low Water (keep): wt=50.000, iters=3433 8.83/9.13 8.83/9.13 Low Water (keep): wt=49.000, iters=3366 8.83/9.13 8.83/9.13 Low Water (keep): wt=46.000, iters=3336 8.83/9.13 8.83/9.13 Low Water (keep): wt=45.000, iters=3373 8.83/9.13 8.83/9.13 Low Water (displace): id=4567, wt=165.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5788, wt=156.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4559, wt=153.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4345, wt=142.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5562, wt=141.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5772, wt=140.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5787, wt=136.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4566, wt=133.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5379, wt=132.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5527, wt=129.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5380, wt=128.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4334, wt=126.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5102, wt=125.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5783, wt=124.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4512, wt=121.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5771, wt=120.000 8.83/9.13 8.83/9.13 Low Water (keep): wt=44.000, iters=3398 8.83/9.13 8.83/9.13 Low Water (displace): id=4037, wt=118.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5561, wt=117.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5786, wt=116.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5819, wt=115.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5139, wt=113.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5739, wt=112.000 8.83/9.13 8.83/9.13 Low Water (keep): wt=42.000, iters=3355 8.83/9.13 8.83/9.13 Low Water (displace): id=5813, wt=111.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4341, wt=110.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5545, wt=109.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5781, wt=108.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5818, wt=107.000 8.83/9.13 8.83/9.13 Low Water (displace): id=2925, wt=106.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5708, wt=105.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5785, wt=104.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5812, wt=103.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4036, wt=102.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5295, wt=101.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5775, wt=100.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5817, wt=99.000 8.83/9.13 8.83/9.13 Low Water (displace): id=3642, wt=98.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5746, wt=97.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5719, wt=96.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5811, wt=95.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4358, wt=94.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5612, wt=93.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5780, wt=92.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5795, wt=91.000 8.83/9.13 8.83/9.13 Low Water (displace): id=3310, wt=90.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5161, wt=89.000 8.83/9.13 8.83/9.13 Low Water (displace): id=6656, wt=88.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5816, wt=87.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4336, wt=86.000 8.83/9.13 8.83/9.13 Low Water (displace): id=6634, wt=85.000 8.83/9.13 8.83/9.13 Low Water (displace): id=6648, wt=84.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5810, wt=83.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4356, wt=82.000 8.83/9.13 8.83/9.13 Low Water (keep): wt=41.000, iters=3342 8.83/9.13 8.83/9.13 Low Water (displace): id=5733, wt=81.000 8.83/9.13 8.83/9.13 Low Water (keep): wt=40.000, iters=3355 8.83/9.13 8.83/9.13 Low Water (displace): id=6942, wt=80.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5335, wt=79.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4362, wt=78.000 8.83/9.13 8.83/9.13 Low Water (displace): id=6886, wt=77.000 8.83/9.13 8.83/9.13 Low Water (keep): wt=38.000, iters=3349 8.83/9.13 8.83/9.13 Low Water (displace): id=6937, wt=76.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5657, wt=75.000 8.83/9.13 8.83/9.13 Low Water (displace): id=4441, wt=74.000 8.83/9.13 8.83/9.13 Low Water (displace): id=6926, wt=73.000 8.83/9.13 8.83/9.13 Low Water (displace): id=7205, wt=72.000 8.83/9.13 8.83/9.13 Low Water (displace): id=5604, wt=71.000 8.83/9.13 8.83/9.13 Low Water (displace): id=13118, wt=30.000 8.83/9.13 8.83/9.13 Low Water (displace): id=13119, wt=27.000 8.83/9.13 8.83/9.13 Low Water (displace): id=13120, wt=25.000 8.83/9.13 8.83/9.13 Low Water (displace): id=13187, wt=23.000 8.83/9.13 8.83/9.13 Low Water (keep): wt=37.000, iters=3469 8.83/9.13 8.83/9.13 Low Water (keep): wt=36.000, iters=3444 8.83/9.13 8.83/9.13 Low Water (keep): wt=35.000, iters=3378 8.83/9.13 8.83/9.13 Low Water (keep): wt=34.000, iters=3333 8.83/9.13 8.83/9.13 Low Water (displace): id=16478, wt=21.000 8.83/9.13 8.83/9.13 Low Water (displace): id=17845, wt=19.000 8.83/9.13 8.83/9.13 Low Water (displace): id=17961, wt=17.000 8.83/9.13 8.83/9.13 Low Water (keep): wt=33.000, iters=3334 8.83/9.13 8.83/9.13 Low Water (keep): wt=31.000, iters=3353 62.57/62.88 62.57/62.88 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 113 (0.00 of 8.50 sec). 62.57/62.88 62.57/62.88 Low Water (keep): wt=30.000, iters=3415 62.57/62.88 62.57/62.88 Low Water (keep): wt=29.000, iters=3345 62.57/62.88 62.57/62.88 Low Water (keep): wt=28.000, iters=3398 62.57/62.88 62.57/62.88 Low Water (keep): wt=27.000, iters=3333 62.57/62.88 62.57/62.88 Low Water (keep): wt=26.000, iters=3337 62.57/62.88 62.57/62.88 Low Water (displace): id=31348, wt=16.000 62.57/62.88 62.57/62.88 Low Water (keep): wt=25.000, iters=3355 62.57/62.88 62.57/62.88 Low Water (keep): wt=24.000, iters=3361 62.57/62.88 62.57/62.88 Low Water (keep): wt=23.000, iters=3333 62.57/62.88 62.57/62.88 Low Water (keep): wt=22.000, iters=3355 62.57/62.88 62.57/62.88 Low Water (keep): wt=21.000, iters=3334 62.57/62.88 62.57/62.88 Low Water (keep): wt=19.000, iters=4341 62.57/62.88 62.57/62.88 ============================== PROOF ================================= 62.57/62.88 % SZS status Theorem 62.57/62.88 % SZS output start Refutation 62.57/62.88 62.57/62.88 % Proof 1 at 60.50 (+ 1.41) seconds. 62.57/62.88 % Length of proof is 443. 62.57/62.88 % Level of proof is 34. 62.57/62.88 % Maximum clause weight is 29.000. 62.57/62.88 % Given clauses 2693. 62.57/62.88 62.57/62.88 1 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 62.57/62.88 2 (all X0 all X1 all X2 (mult(X0,mult(X2,X1)) = mult(mult(X0,X2),X1) & mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2)) | mult(X0,mult(X1,X2)) = mult(X0,mult(X2,X1)) & mult(mult(X0,X2),X1) = mult(mult(X0,X1),X2))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 62.57/62.88 3 (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]. 62.57/62.88 4 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption]. 62.57/62.88 5 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause). [assumption]. 62.57/62.88 6 (all A mult(unit,A) = A) # label(f06) # label(axiom) # label(non_clause). [assumption]. 62.57/62.88 7 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 62.57/62.88 8 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 62.57/62.88 9 mult(unit,A) = A # label(f06) # label(axiom). [clausify(6)]. 62.57/62.88 10 mult(A,unit) = A # label(f05) # label(axiom). [clausify(8)]. 62.57/62.88 11 rd(mult(A,B),B) = A # label(f04) # label(axiom). [clausify(1)]. 62.57/62.88 12 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(4)]. 62.57/62.88 13 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(5)]. 62.57/62.88 14 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(7)]. 62.57/62.88 15 mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)) # label(f07) # label(axiom). [clausify(3)]. 62.57/62.88 16 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(2)]. 62.57/62.88 17 mult(mult(A,B),C) = mult(A,mult(B,C)) | mult(mult(A,B),C) = mult(mult(A,C),B) # label(f08) # label(axiom). [clausify(2)]. 62.57/62.88 18 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(2)]. 62.57/62.88 20 mult(mult(a,b),c) != mult(a,mult(b,c)) # label(goals) # label(negated_conjecture). [assumption]. 62.57/62.88 21 rd(A,A) = unit. [para(9(a,1),11(a,1,1))]. 62.57/62.88 23 ld(unit,A) = A. [para(9(a,1),13(a,1,2))]. 62.57/62.88 25 ld(rd(A,B),A) = B. [para(12(a,1),13(a,1,2))]. 62.57/62.88 26 rd(A,ld(B,A)) = B. [para(14(a,1),11(a,1,1))]. 62.57/62.88 27 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(10(a,1),15(a,1,1)),rewrite([10(4)])]. 62.57/62.88 28 rd(mult(A,mult(mult(B,C),B)),B) = mult(mult(A,B),C). [para(15(a,1),11(a,1,1))]. 62.57/62.88 29 mult(rd(A,B),mult(mult(B,C),B)) = mult(mult(A,C),B). [para(12(a,1),15(a,1,1,1)),flip(a)]. 62.57/62.88 31 mult(A,mult(mult(ld(A,B),C),ld(A,B))) = mult(mult(B,C),ld(A,B)). [para(14(a,1),15(a,1,1,1)),flip(a)]. 62.57/62.88 32 mult(A,mult(mult(B,ld(mult(A,B),C)),B)) = mult(C,B). [para(14(a,1),15(a,1,1)),flip(a)]. 62.57/62.88 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))]. 62.57/62.88 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))]. 62.57/62.88 37 mult(rd(A,B),mult(B,C)) = mult(A,C) | mult(rd(A,B),mult(C,B)) = mult(rd(A,B),mult(B,C)). [para(12(a,1),16(a,1,1)),flip(a),flip(b)]. 62.57/62.88 42 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(14(a,1),16(a,1,1)),flip(a)]. 62.57/62.88 63 mult(A,mult(ld(A,B),C)) = mult(B,C) | mult(mult(A,C),ld(A,B)) = mult(B,C). [para(14(a,1),17(b,1,1)),rewrite([14(2)]),flip(a),flip(b)]. 62.57/62.88 105 mult(a,mult(c,b)) = mult(a,mult(b,c)). [resolve(20,a,18,a)]. 62.57/62.88 106 mult(mult(a,c),b) != mult(a,mult(b,c)). [para(17(b,1),20(a,1)),unit_del(a,20)]. 62.57/62.88 108 mult(rd(A,B),mult(B,B)) = mult(A,B). [para(12(a,1),27(a,1,1)),flip(a)]. 62.57/62.88 109 ld(mult(A,B),mult(A,mult(B,B))) = B. [para(27(a,1),13(a,1,2))]. 62.57/62.88 110 mult(A,mult(ld(A,B),ld(A,B))) = mult(B,ld(A,B)). [para(14(a,1),27(a,1,1)),flip(a)]. 62.57/62.88 112 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)])]. 62.57/62.88 113 mult(mult(A,B),mult(B,B)) = mult(A,mult(B,mult(B,B))). [para(27(a,1),15(a,1)),rewrite([27(5)])]. 62.57/62.88 125 mult(c,b) = mult(b,c). [para(105(a,1),13(a,1,2)),rewrite([13(7)]),flip(a)]. 62.57/62.88 126 rd(mult(b,c),b) = c. [para(125(a,1),11(a,1,1))]. 62.57/62.88 127 ld(c,mult(b,c)) = b. [para(125(a,1),13(a,1,2))]. 62.57/62.88 128 mult(mult(mult(b,c),A),b) = mult(c,mult(mult(b,A),b)). [para(125(a,1),15(a,1,1,1))]. 62.57/62.88 132 mult(mult(b,c),b) = mult(c,mult(b,b)). [para(125(a,1),27(a,1,1))]. 62.57/62.88 135 rd(mult(A,mult(B,C)),C) = mult(mult(A,C),ld(C,B)). [para(14(a,1),28(a,1,1,2,1))]. 62.57/62.88 156 rd(mult(A,B),mult(B,B)) = rd(A,B). [para(108(a,1),11(a,1,1))]. 62.57/62.88 157 ld(rd(A,B),mult(A,B)) = mult(B,B). [para(108(a,1),13(a,1,2))]. 62.57/62.88 166 mult(rd(A,B),mult(B,mult(B,mult(B,B)))) = mult(A,mult(B,mult(B,B))). [para(108(a,1),27(a,1,1)),rewrite([113(3),113(7)]),flip(a)]. 62.57/62.88 184 ld(mult(A,B),mult(A,mult(B,mult(B,B)))) = mult(B,B). [para(108(a,1),109(a,1,1)),rewrite([113(5),166(6)])]. 62.57/62.88 193 rd(mult(mult(A,B),C),mult(mult(C,B),C)) = rd(A,C). [para(29(a,1),11(a,1,1))]. 62.57/62.88 195 ld(rd(A,B),mult(mult(A,C),B)) = mult(mult(B,C),B). [para(29(a,1),13(a,1,2))]. 62.57/62.88 196 mult(mult(A,ld(B,C)),B) = mult(rd(A,B),mult(C,B)). [para(14(a,1),29(a,1,2,1)),flip(a)]. 62.57/62.88 214 mult(rd(A,c),mult(b,mult(c,c))) = mult(mult(A,b),c). [para(125(a,1),29(a,1,2,1)),rewrite([27(7)])]. 62.57/62.88 217 mult(rd(A,b),mult(c,mult(b,b))) = mult(mult(A,c),b). [para(132(a,1),29(a,1,2))]. 62.57/62.88 219 rd(A,mult(A,A)) = rd(unit,A). [para(9(a,1),156(a,1,1))]. 62.57/62.88 220 rd(rd(A,B),B) = rd(A,mult(B,B)). [para(12(a,1),156(a,1,1)),flip(a)]. 62.57/62.88 237 ld(rd(unit,A),A) = mult(A,A). [para(219(a,1),25(a,1,1))]. 62.57/62.88 241 mult(ld(A,unit),ld(A,unit)) = ld(A,ld(A,unit)). [para(26(a,1),237(a,1,1)),flip(a)]. 62.57/62.88 248 ld(A,mult(B,ld(A,B))) = mult(ld(A,B),ld(A,B)). [para(26(a,1),157(a,1,1))]. 62.57/62.88 296 ld(rd(A,mult(B,B)),rd(A,B)) = B. [para(220(a,1),25(a,1,1))]. 62.57/62.88 298 rd(A,mult(A,mult(A,mult(A,A)))) = rd(rd(unit,A),mult(A,A)). [para(219(a,1),220(a,1,1)),rewrite([113(7)]),flip(a)]. 62.57/62.88 299 rd(rd(A,mult(B,B)),B) = rd(rd(A,B),mult(B,B)). [para(220(a,1),220(a,1,1))]. 62.57/62.88 358 mult(mult(A,ld(mult(B,A),C)),A) = ld(B,mult(C,A)). [para(32(a,1),13(a,1,2)),flip(a)]. 62.57/62.88 580 mult(mult(A,B),ld(B,unit)) = A. [para(9(a,1),135(a,1,1,2)),rewrite([11(2)]),flip(a)]. 62.57/62.88 581 mult(mult(A,B),ld(B,rd(C,B))) = rd(mult(A,C),B). [para(12(a,1),135(a,1,1,2)),flip(a)]. 62.57/62.88 616 mult(mult(A,rd(B,C)),mult(mult(C,rd(B,C)),C)) = mult(mult(A,mult(B,rd(B,C))),C). [para(12(a,1),34(a,1,1,2,1)),flip(a)]. 62.57/62.88 654 mult(rd(A,B),mult(mult(B,C),mult(mult(B,C),B))) = mult(mult(A,C),mult(mult(B,C),B)). [para(34(a,1),29(a,1,2)),rewrite([34(10)])]. 62.57/62.88 684 rd(A,ld(B,unit)) = mult(A,B). [para(580(a,1),11(a,1,1))]. 62.57/62.88 685 mult(A,ld(B,unit)) = rd(A,B). [para(12(a,1),580(a,1,1))]. 62.57/62.88 686 ld(mult(A,B),A) = ld(B,unit). [para(580(a,1),13(a,1,2))]. 62.57/62.88 694 mult(mult(A,B),rd(ld(B,unit),B)) = rd(A,B). [para(580(a,1),27(a,1,1)),rewrite([685(3),685(7)]),flip(a)]. 62.57/62.88 696 ld(A,rd(A,B)) = ld(B,unit). [para(580(a,1),109(a,1,1)),rewrite([685(6),694(5)])]. 62.57/62.88 700 rd(ld(A,unit),A) = ld(mult(A,A),unit). [para(580(a,1),157(a,1,2)),rewrite([684(4),27(2),686(3),685(8)]),flip(a)]. 62.57/62.88 703 mult(ld(A,ld(A,unit)),A) = ld(A,unit). [para(241(a,1),580(a,1,1)),rewrite([685(8),684(6)])]. 62.57/62.88 705 mult(A,rd(mult(ld(B,unit),C),B)) = rd(mult(rd(A,B),C),B). [para(580(a,1),33(a,1,1,1,2)),rewrite([685(3),685(5),685(6),12(5),685(9)]),flip(a)]. 62.57/62.88 708 mult(c,mult(rd(b,c),b)) = mult(b,b). [para(580(a,1),128(a,1,1)),rewrite([685(9)]),flip(a)]. 62.57/62.88 710 mult(A,mult(mult(B,rd(C,B)),B)) = mult(A,ld(ld(B,unit),C)). [para(580(a,1),135(a,2,1)),rewrite([685(4),684(6),15(4)])]. 62.57/62.88 712 mult(rd(mult(A,B),C),B) = mult(A,mult(rd(B,C),B)). [para(580(a,1),34(a,2,1)),rewrite([685(7),705(6),11(2),685(6)])]. 62.57/62.88 732 ld(mult(A,A),unit) = ld(A,ld(A,unit)). [back_rewrite(241),rewrite([685(5),700(3)])]. 62.57/62.88 735 mult(mult(A,rd(B,C)),ld(ld(C,unit),B)) = mult(mult(A,mult(B,rd(B,C))),C). [back_rewrite(616),rewrite([710(6)])]. 62.57/62.88 744 rd(ld(A,unit),A) = ld(A,ld(A,unit)). [back_rewrite(700),rewrite([732(6)])]. 62.57/62.88 747 mult(ld(A,unit),A) = unit. [para(684(a,1),21(a,1))]. 62.57/62.88 750 mult(rd(A,B),ld(ld(B,unit),C)) = mult(mult(A,rd(C,B)),B). [para(684(a,1),135(a,1)),rewrite([685(3),685(6)]),flip(a)]. 62.57/62.88 753 rd(unit,A) = ld(A,unit). [para(747(a,1),11(a,1,1))]. 62.57/62.88 755 mult(ld(A,unit),mult(mult(A,B),A)) = mult(B,A). [para(747(a,1),15(a,1,1,1)),rewrite([9(2)]),flip(a)]. 62.57/62.88 764 mult(ld(A,ld(A,unit)),mult(A,mult(A,A))) = A. [para(747(a,1),112(a,1,1)),rewrite([9(2),732(3)]),flip(a)]. 62.57/62.88 769 rd(A,mult(A,mult(A,mult(A,A)))) = rd(ld(A,unit),mult(A,A)). [back_rewrite(298),rewrite([753(6)])]. 62.57/62.88 771 ld(ld(A,unit),A) = mult(A,A). [back_rewrite(237),rewrite([753(2)])]. 62.57/62.88 781 mult(rd(A,B),mult(B,C)) = mult(A,C) | mult(B,C) = mult(C,B). [para(37(b,1),13(a,1,2)),rewrite([13(10)])]. 62.57/62.88 873 mult(A,ld(B,ld(B,unit))) = rd(A,mult(B,B)). [para(685(a,1),27(a,1,1)),rewrite([685(4),220(2),685(7),744(5)]),flip(a)]. 62.57/62.88 874 ld(rd(A,B),rd(A,mult(B,B))) = ld(B,unit). [para(685(a,1),109(a,1,1)),rewrite([685(6),744(4),873(5)])]. 62.57/62.88 875 mult(rd(A,B),mult(rd(B,C),B)) = mult(rd(A,C),B). [para(685(a,1),29(a,1,2,1)),rewrite([685(7)])]. 62.57/62.88 878 mult(A,rd(ld(B,unit),mult(B,B))) = rd(rd(A,B),mult(B,B)). [para(685(a,1),112(a,1,1,2)),rewrite([744(3),873(4),685(5),299(3),685(10),744(8),873(9)]),flip(a)]. 62.57/62.88 888 ld(ld(A,B),unit) = ld(B,A). [para(14(a,1),686(a,1,1)),flip(a)]. 62.57/62.88 898 ld(mult(A,ld(B,A)),B) = ld(ld(B,A),ld(A,B)). [para(110(a,1),686(a,1,1)),rewrite([732(8),888(7)])]. 62.57/62.88 1006 mult(ld(A,B),ld(B,A)) = unit. [para(888(a,1),14(a,1,2))]. 62.57/62.88 1010 mult(mult(A,ld(B,C)),ld(C,B)) = A. [para(888(a,1),135(a,2,2)),rewrite([9(3),11(4)]),flip(a)]. 62.57/62.88 1011 rd(A,ld(B,C)) = mult(A,ld(C,B)). [para(888(a,1),684(a,1,2))]. 62.57/62.88 1012 ld(ld(A,B),ld(B,A)) = mult(ld(B,A),ld(B,A)). [para(888(a,1),771(a,1,1))]. 62.57/62.88 1018 ld(mult(A,ld(B,A)),B) = mult(ld(A,B),ld(A,B)). [back_rewrite(898),rewrite([1012(6)])]. 62.57/62.88 1108 ld(c,mult(b,b)) = mult(rd(b,c),b). [para(708(a,1),13(a,1,2))]. 62.57/62.88 1354 mult(ld(mult(b,b),c),mult(rd(b,c),b)) = unit. [para(1108(a,1),1006(a,1,2))]. 62.57/62.88 1528 rd(mult(A,B),mult(mult(B,A),B)) = ld(B,unit). [para(755(a,1),11(a,1,1))]. 62.57/62.88 1530 ld(ld(A,unit),mult(B,A)) = mult(mult(A,B),A). [para(755(a,1),13(a,1,2))]. 62.57/62.88 1531 mult(ld(A,unit),mult(B,A)) = mult(ld(A,B),A). [para(14(a,1),755(a,1,2,1))]. 62.57/62.88 1588 ld(ld(A,ld(A,unit)),A) = mult(A,mult(A,A)). [para(764(a,1),13(a,1,2))]. 62.57/62.88 1605 ld(mult(A,mult(A,A)),unit) = ld(A,ld(A,ld(A,unit))). [para(764(a,1),686(a,1,1)),flip(a)]. 62.57/62.88 2037 rd(mult(ld(mult(b,b),c),b),c) = ld(b,unit). [para(1354(a,1),135(a,1,1)),rewrite([753(3),696(15),685(14)]),flip(a)]. 62.57/62.88 2203 rd(mult(ld(A,B),A),mult(B,A)) = ld(A,unit). [para(14(a,1),1528(a,1,2,1))]. 62.57/62.88 2268 rd(ld(A,unit),mult(A,A)) = ld(A,ld(A,ld(A,unit))). [para(764(a,1),1528(a,1,1)),rewrite([873(6),11(4),769(4),1605(8)])]. 62.57/62.88 2300 mult(A,ld(B,ld(B,ld(B,unit)))) = rd(rd(A,B),mult(B,B)). [back_rewrite(878),rewrite([2268(4)])]. 62.57/62.88 2302 mult(mult(A,rd(B,A)),A) = ld(ld(A,unit),B). [para(12(a,1),1530(a,1,2)),flip(a)]. 62.57/62.88 2303 mult(mult(ld(A,B),A),ld(A,B)) = ld(ld(B,A),B). [para(14(a,1),1530(a,1,2)),rewrite([888(3)]),flip(a)]. 62.57/62.88 2309 rd(mult(ld(A,unit),B),A) = ld(A,rd(B,A)). [para(25(a,1),1530(a,1,1)),rewrite([753(2),685(3),753(4),753(7),685(8)]),flip(a)]. 62.57/62.88 2355 rd(mult(rd(A,B),C),B) = mult(A,ld(B,rd(C,B))). [back_rewrite(705),rewrite([2309(4)]),flip(a)]. 62.57/62.88 2372 mult(ld(A,rd(B,A)),A) = mult(ld(A,unit),B). [para(12(a,1),1531(a,1,2)),flip(a)]. 62.57/62.88 2385 rd(ld(ld(A,unit),B),A) = mult(A,rd(B,A)). [para(25(a,1),1531(a,1,1)),rewrite([753(2),685(3),753(4),753(7),685(8)]),flip(a)]. 62.57/62.88 2388 mult(ld(b,unit),mult(b,c)) = mult(ld(b,c),b). [para(125(a,1),1531(a,1,2))]. 62.57/62.88 2441 ld(ld(mult(A,B),unit),mult(ld(B,A),B)) = mult(A,mult(A,B)). [para(1531(a,1),1530(a,1,2)),rewrite([685(10),11(8)])]. 62.57/62.88 2748 rd(rd(A,B),mult(B,B)) = rd(A,mult(B,mult(B,B))). [para(1588(a,1),1011(a,1,2)),rewrite([2300(8)]),flip(a)]. 62.57/62.88 2751 mult(A,ld(B,ld(B,ld(B,unit)))) = rd(A,mult(B,mult(B,B))). [back_rewrite(2300),rewrite([2748(8)])]. 62.57/62.88 2760 rd(rd(A,mult(B,B)),B) = rd(A,mult(B,mult(B,B))). [back_rewrite(299),rewrite([2748(6)])]. 62.57/62.88 2780 mult(ld(mult(b,b),c),b) = mult(ld(b,unit),c). [para(2037(a,1),12(a,1,1)),flip(a)]. 62.57/62.88 2790 rd(mult(ld(b,c),b),mult(b,c)) = ld(b,unit). [para(125(a,1),2203(a,1,2))]. 62.57/62.88 3125 ld(mult(A,rd(B,A)),ld(ld(A,unit),B)) = A. [para(2302(a,1),13(a,1,2))]. 62.57/62.88 3154 rd(mult(A,ld(ld(B,unit),C)),B) = mult(mult(A,B),rd(C,B)). [para(2302(a,1),135(a,1,1,2)),rewrite([13(9)])]. 62.57/62.88 3161 ld(ld(ld(A,unit),B),mult(A,rd(B,A))) = ld(A,unit). [para(2302(a,1),686(a,1,1))]. 62.57/62.88 3202 ld(ld(A,rd(B,A)),mult(ld(A,unit),B)) = A. [para(2309(a,1),25(a,1,1))]. 62.57/62.88 3213 ld(mult(ld(A,unit),B),ld(A,rd(B,A))) = ld(A,unit). [para(2309(a,1),696(a,1,2))]. 62.57/62.88 3526 mult(mult(ld(b,unit),c),ld(c,b)) = rd(mult(ld(b,c),b),c). [para(2388(a,1),135(a,1,1)),flip(a)]. 62.57/62.88 3536 mult(b,mult(ld(b,c),b)) = mult(b,c). [para(2388(a,1),42(b,1,2)),rewrite([2388(8),9(12),685(26),126(24)]),merge(b)]. 62.57/62.88 3871 mult(ld(b,c),b) = c. [para(3536(a,1),13(a,1,2)),rewrite([13(5)]),flip(a)]. 62.57/62.88 3887 mult(mult(ld(b,unit),c),ld(c,b)) = unit. [back_rewrite(3526),rewrite([3871(14),21(12)])]. 62.57/62.88 3898 rd(c,mult(b,c)) = ld(b,unit). [back_rewrite(2790),rewrite([3871(5)])]. 62.57/62.88 3900 rd(c,b) = ld(b,c). [para(3871(a,1),11(a,1,1))]. 62.57/62.88 3901 ld(ld(b,c),c) = b. [para(3871(a,1),13(a,1,2))]. 62.57/62.88 3909 rd(ld(b,c),b) = rd(c,mult(b,b)). [para(3871(a,1),156(a,1,1)),flip(a)]. 62.57/62.88 3918 ld(c,ld(b,c)) = ld(b,unit). [para(3871(a,1),686(a,1,1))]. 62.57/62.88 3926 rd(c,mult(c,ld(b,c))) = ld(c,b). [para(3871(a,1),1528(a,1,2,1)),rewrite([14(5),888(12)])]. 62.57/62.88 4241 ld(mult(b,c),unit) = ld(c,ld(b,unit)). [para(3898(a,1),696(a,1,2)),flip(a)]. 62.57/62.88 4243 ld(ld(c,ld(b,unit)),c) = mult(c,mult(b,c)). [para(3898(a,1),2302(a,1,1,2)),rewrite([685(7),126(5),4241(10)]),flip(a)]. 62.57/62.88 4259 rd(mult(ld(b,unit),c),mult(ld(b,c),c)) = ld(c,unit). [para(3918(a,1),2203(a,1,1,1))]. 62.57/62.88 4568 mult(ld(b,unit),c) = ld(b,c). [para(3887(a,1),11(a,1,1)),rewrite([1011(5),9(5)]),flip(a)]. 62.57/62.88 4570 rd(ld(b,c),mult(ld(b,c),c)) = ld(c,unit). [back_rewrite(4259),rewrite([4568(5)])]. 62.57/62.88 4576 mult(ld(mult(b,b),c),b) = ld(b,c). [back_rewrite(2780),rewrite([4568(12)])]. 62.57/62.88 4577 rd(ld(b,c),c) = ld(b,unit). [para(4568(a,1),11(a,1,1))]. 62.57/62.88 4604 ld(ld(c,unit),ld(b,c)) = mult(ld(b,c),c). [para(4568(a,1),1530(a,1,2)),rewrite([685(12),3900(10)])]. 62.57/62.88 4605 rd(c,mult(b,b)) = ld(b,ld(b,c)). [para(4568(a,1),1530(a,2,1)),rewrite([888(5),23(3),685(6),3900(4),685(12),3909(10)]),flip(a)]. 62.57/62.88 4606 mult(ld(c,ld(b,unit)),c) = mult(ld(c,unit),ld(b,c)). [para(4568(a,1),1531(a,1,2)),flip(a)]. 62.57/62.88 4612 rd(ld(b,c),b) = ld(b,ld(b,c)). [back_rewrite(3909),rewrite([4605(10)])]. 62.57/62.88 5021 ld(mult(c,ld(b,c)),unit) = ld(c,ld(c,b)). [para(3926(a,1),696(a,1,2)),flip(a)]. 62.57/62.88 5023 ld(ld(c,ld(c,b)),c) = mult(c,mult(c,ld(b,c))). [para(3926(a,1),2302(a,1,1,2)),rewrite([1010(9),5021(14)]),flip(a)]. 62.57/62.88 5854 ld(mult(b,b),c) = ld(b,ld(b,c)). [para(4576(a,1),11(a,1,1)),rewrite([4612(5)]),flip(a)]. 62.57/62.88 6119 ld(ld(b,c),b) = mult(rd(b,c),b). [para(5854(a,1),888(a,1,1)),rewrite([888(7),1108(10)])]. 62.57/62.88 6277 mult(ld(b,c),mult(rd(b,c),b)) = b. [para(6119(a,1),14(a,1,2))]. 62.57/62.88 6288 mult(mult(b,b),ld(b,c)) = mult(b,c). [para(6277(a,1),31(a,1,2,1)),rewrite([14(6),708(10)]),flip(a)]. 62.57/62.88 6339 mult(c,mult(b,b)) = mult(b,mult(b,c)). [para(6288(a,1),15(a,1,1)),rewrite([132(5),14(11),125(9)])]. 62.57/62.88 6452 mult(rd(A,b),mult(b,mult(b,c))) = mult(mult(A,c),b). [back_rewrite(217),rewrite([6339(7)])]. 62.57/62.88 7401 mult(A,ld(c,ld(c,ld(b,unit)))) = rd(A,mult(c,mult(b,c))). [para(4243(a,1),1011(a,1,2)),flip(a)]. 62.57/62.88 7871 ld(mult(ld(b,c),c),unit) = ld(ld(b,c),ld(c,unit)). [para(4570(a,1),696(a,1,2)),flip(a)]. 62.57/62.88 7960 mult(A,mult(ld(A,unit),B)) = B | rd(mult(A,B),A) = B. [para(9(a,1),63(b,2)),rewrite([9(6),685(9)])]. 62.57/62.88 8178 mult(rd(A,c),mult(ld(b,c),c)) = mult(rd(A,b),c). [para(4604(a,1),135(a,2,2)),rewrite([685(7),4577(5),685(4),1011(6),23(5),685(8)]),flip(a)]. 62.57/62.88 9407 ld(rd(A,B),rd(A,mult(B,mult(B,B)))) = ld(B,ld(B,unit)). [para(685(a,1),184(a,1,1)),rewrite([685(8),744(6),873(7),2268(5),2751(6),685(10),744(8)])]. 62.57/62.88 9446 rd(mult(A,B),mult(mult(B,C),B)) = rd(rd(A,C),B). [para(12(a,1),193(a,1,1,1))]. 62.57/62.88 9479 rd(A,mult(mult(A,B),A)) = rd(ld(B,unit),A). [para(747(a,1),193(a,1,1,1)),rewrite([9(2)])]. 62.57/62.88 9602 rd(rd(A,B),mult(A,rd(A,B))) = rd(ld(B,unit),rd(A,B)). [para(12(a,1),9479(a,1,2,1))]. 62.57/62.88 9603 rd(ld(A,B),B) = rd(B,mult(A,B)). [para(14(a,1),9479(a,1,2,1)),rewrite([888(5)]),flip(a)]. 62.57/62.88 9613 rd(A,mult(rd(A,B),A)) = rd(B,A). [para(25(a,1),9479(a,2,1)),rewrite([753(2),685(3)])]. 62.57/62.88 9649 mult(ld(mult(A,B),unit),B) = mult(ld(B,unit),ld(A,B)). [para(1531(a,1),9479(a,1,2,1)),rewrite([685(7),11(5),1011(4),1011(10),23(9)]),flip(a)]. 62.57/62.88 9656 rd(mult(A,rd(B,A)),mult(ld(ld(A,unit),B),mult(A,rd(B,A)))) = rd(ld(A,unit),mult(A,rd(B,A))). [para(2302(a,1),9479(a,1,2,1))]. 62.57/62.88 9764 mult(rd(A,mult(B,A)),A) = ld(B,A). [para(9603(a,1),12(a,1,1))]. 62.57/62.88 9766 mult(ld(A,ld(A,B)),ld(B,A)) = rd(B,mult(A,B)). [para(14(a,1),9603(a,2,2)),rewrite([1011(4),9603(6)])]. 62.57/62.88 9771 ld(rd(A,mult(B,A)),ld(B,A)) = A. [para(9603(a,1),25(a,1,1))]. 62.57/62.88 9772 rd(mult(b,c),mult(c,mult(b,c))) = rd(b,mult(b,c)). [para(127(a,1),9603(a,1,1)),flip(a)]. 62.57/62.88 9773 mult(rd(A,mult(B,A)),mult(A,A)) = mult(ld(B,A),A). [para(9603(a,1),108(a,1,1))]. 62.57/62.88 9775 mult(rd(A,mult(B,A)),mult(mult(A,C),A)) = mult(mult(ld(B,A),C),A). [para(9603(a,1),29(a,1,1))]. 62.57/62.88 9779 rd(rd(A,mult(B,A)),A) = rd(ld(B,A),mult(A,A)). [para(9603(a,1),220(a,1,1))]. 62.57/62.88 9788 rd(ld(A,unit),rd(B,A)) = mult(ld(B,ld(A,unit)),A). [para(685(a,1),9603(a,2,2)),rewrite([1011(6),23(5)]),flip(a)]. 62.57/62.88 9789 ld(ld(A,B),rd(B,mult(A,B))) = ld(B,unit). [para(9603(a,1),696(a,1,2))]. 62.57/62.88 9798 rd(ld(A,B),mult(C,ld(A,B))) = mult(ld(C,ld(A,B)),ld(B,A)). [para(9603(a,1),1011(a,1))]. 62.57/62.88 9815 rd(c,mult(ld(b,c),c)) = rd(b,c). [para(3901(a,1),9603(a,1,1)),flip(a)]. 62.57/62.88 9838 ld(ld(mult(A,B),unit),mult(ld(B,unit),ld(A,B))) = B. [para(9603(a,1),3202(a,1,1,2)),rewrite([696(3)])]. 62.57/62.88 9839 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(3202(a,1),9603(a,1,1)),flip(a)]. 62.57/62.88 9855 rd(rd(A,B),mult(A,rd(A,B))) = mult(ld(A,ld(B,unit)),B). [back_rewrite(9602),rewrite([9788(8)])]. 62.57/62.88 9990 ld(rd(A,B),B) = mult(rd(B,A),B). [para(9613(a,1),25(a,1,1))]. 62.57/62.88 9999 ld(mult(rd(A,B),A),unit) = ld(A,rd(B,A)). [para(9613(a,1),696(a,1,2)),flip(a)]. 62.57/62.88 10033 mult(rd(A,mult(B,A)),ld(B,A)) = ld(B,ld(B,A)). [para(14(a,1),9764(a,1,1,2)),rewrite([9603(2)])]. 62.57/62.88 10055 rd(mult(A,ld(B,C)),C) = rd(mult(A,C),mult(B,C)). [para(9764(a,1),135(a,1,1,2)),rewrite([696(7),685(8)])]. 62.57/62.88 10149 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(9764(a,1),9479(a,1,2,1))]. 62.57/62.88 10255 ld(ld(b,c),ld(c,unit)) = ld(c,rd(b,c)). [para(9815(a,1),696(a,1,2)),rewrite([7871(12)]),flip(a)]. 62.57/62.88 10264 ld(mult(mult(ld(b,c),c),rd(b,c)),ld(ld(c,rd(b,c)),c)) = mult(ld(b,c),c). [para(9815(a,1),3125(a,1,1,2)),rewrite([7871(16),10255(16)])]. 62.57/62.88 10884 ld(mult(A,B),rd(B,mult(A,B))) = ld(mult(A,mult(A,B)),unit). [para(11(a,1),9999(a,1,1,1)),flip(a)]. 62.57/62.88 11366 ld(rd(A,B),mult(C,B)) = mult(mult(B,ld(A,C)),B). [para(14(a,1),195(a,1,2,1))]. 62.57/62.88 11367 mult(mult(ld(mult(A,B),C),B),ld(mult(A,B),C)) = ld(mult(A,ld(C,mult(A,B))),C). [para(14(a,1),195(a,1,2)),rewrite([1011(3)]),flip(a)]. 62.57/62.88 11409 ld(ld(b,unit),mult(mult(c,A),mult(b,c))) = mult(mult(mult(b,c),A),mult(b,c)). [para(3898(a,1),195(a,1,1))]. 62.57/62.88 11615 mult(rd(A,mult(B,C)),C) = mult(rd(A,C),ld(B,C)). [para(9764(a,1),196(a,2,2)),rewrite([696(3),685(4)])]. 62.57/62.88 11701 mult(mult(A,c),b) = mult(A,mult(b,c)) | mult(mult(A,c),b) = mult(mult(A,b),c). [para(17(b,2),214(a,2)),rewrite([125(7),214(17)]),flip(b)]. 62.57/62.88 11742 mult(ld(ld(A,unit),B),ld(ld(A,unit),B)) = mult(mult(A,mult(mult(B,A),rd(B,A))),A). [para(248(a,1),2302(a,2)),rewrite([3154(5)]),flip(a)]. 62.57/62.88 12030 rd(ld(A,mult(B,C)),C) = mult(C,ld(mult(A,C),B)). [para(358(a,1),11(a,1,1))]. 62.57/62.88 12032 mult(mult(ld(A,B),ld(B,C)),ld(A,B)) = ld(A,mult(C,ld(A,B))). [para(14(a,1),358(a,1,1,2,1))]. 62.57/62.88 12076 ld(A,rd(ld(rd(B,A),C),A)) = ld(B,rd(C,A)). [para(358(a,1),685(a,1)),rewrite([685(3),685(7),2309(8)]),flip(a)]. 62.57/62.88 12177 mult(mult(A,ld(mult(rd(B,A),ld(C,A)),C)),A) = mult(rd(mult(C,A),B),mult(C,A)). [para(9990(a,1),358(a,2)),rewrite([11615(3)])]. 62.57/62.88 12546 mult(ld(A,ld(A,unit)),mult(rd(A,B),A)) = mult(rd(ld(A,unit),B),A). [para(703(a,1),712(a,1,1,1)),flip(a)]. 62.57/62.88 12687 rd(rd(A,B),mult(mult(rd(A,C),B),rd(A,B))) = rd(ld(B,rd(C,B)),rd(A,B)). [para(875(a,1),9479(a,1,2,1)),rewrite([9999(10)])]. 62.57/62.88 12689 mult(rd(A,mult(B,A)),mult(rd(A,C),A)) = mult(rd(ld(B,A),C),A). [para(9603(a,1),875(a,1,1))]. 62.57/62.88 12816 ld(rd(A,mult(B,mult(B,B))),rd(A,B)) = mult(B,B). [para(296(a,1),1018(a,2,1)),rewrite([874(6),685(5),2760(3),296(9)])]. 62.57/62.88 12950 mult(ld(ld(A,B),A),B) = mult(ld(B,A),mult(A,B)). [para(2303(a,1),15(a,1,1)),rewrite([14(6)])]. 62.57/62.88 12958 mult(mult(A,B),ld(B,A)) = mult(B,ld(ld(A,B),A)). [para(2303(a,1),31(a,1,2)),flip(a)]. 62.57/62.88 12962 mult(mult(A,mult(B,rd(B,A))),A) = ld(ld(B,ld(A,unit)),B). [para(685(a,1),2303(a,1,1)),rewrite([2385(4),735(6)])]. 62.57/62.88 13290 ld(mult(ld(A,unit),ld(B,A)),ld(mult(B,A),unit)) = ld(A,unit). [para(9603(a,1),3213(a,1,2,2)),rewrite([696(7)])]. 62.57/62.88 13449 rd(mult(A,mult(ld(c,unit),ld(b,c))),c) = rd(mult(A,c),mult(c,mult(b,c))). [para(4606(a,1),135(a,1,1,2)),rewrite([7401(20)])]. 62.57/62.88 13456 mult(c,mult(ld(c,unit),ld(b,c))) = ld(b,c). [para(4606(a,1),42(b,1,2)),rewrite([4606(8),4568(14),14(30),685(27),3900(25)]),merge(b)]. 62.57/62.88 13526 mult(mult(ld(b,c),c),ld(c,b)) = c. [para(13456(a,1),11(a,1,1)),rewrite([9798(11),4604(7)])]. 62.57/62.88 13527 mult(ld(c,unit),ld(b,c)) = ld(b,unit). [para(13456(a,1),13(a,1,2)),rewrite([3918(5)]),flip(a)]. 62.57/62.88 13584 rd(mult(A,c),mult(c,mult(b,c))) = rd(rd(A,b),c). [back_rewrite(13449),rewrite([13527(7),685(4)]),flip(a)]. 62.57/62.88 13617 rd(b,mult(b,c)) = ld(c,unit). [back_rewrite(9772),rewrite([13584(9),21(3),753(3)]),flip(a)]. 62.57/62.88 13741 mult(ld(c,b),c) = b. [para(13617(a,1),12(a,1,1)),rewrite([1531(7)])]. 62.57/62.88 14256 rd(b,c) = ld(c,b). [para(13741(a,1),11(a,1,1))]. 62.57/62.88 14431 mult(ld(b,c),c) = mult(c,ld(b,c)). [back_rewrite(10264),rewrite([14256(8),13526(9),14256(5),5023(8),13(9)]),flip(a)]. 62.57/62.88 14613 mult(rd(A,c),mult(c,ld(b,c))) = mult(rd(A,b),c). [back_rewrite(8178),rewrite([14431(7)])]. 62.57/62.88 16918 rd(mult(mult(A,c),b),mult(b,c)) = mult(mult(rd(A,b),c),ld(c,b)). [para(6452(a,1),135(a,1,1)),rewrite([686(19),685(18),135(16)])]. 62.57/62.88 18137 rd(ld(A,unit),rd(A,mult(B,A))) = mult(ld(ld(B,A),ld(A,unit)),A). [para(9771(a,1),9766(a,1,2)),rewrite([9789(5),10149(12)]),flip(a)]. 62.57/62.88 18178 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(10149),rewrite([18137(12)])]. 62.57/62.88 18216 rd(rd(A,mult(B,A)),mult(mult(ld(B,A),A),rd(A,mult(B,A)))) = rd(ld(A,ld(A,unit)),rd(A,mult(B,A))). [para(9773(a,1),9479(a,1,2,1)),rewrite([732(11)])]. 62.57/62.88 18407 ld(mult(rd(ld(A,B),mult(B,B)),rd(B,mult(A,B))),unit) = ld(rd(B,mult(A,B)),rd(B,rd(B,mult(A,B)))). [para(9779(a,1),9999(a,1,1,1))]. 62.57/62.88 18671 mult(rd(rd(A,mult(B,A)),B),mult(A,B)) = mult(ld(B,ld(B,A)),B). [para(10033(a,1),196(a,1,1)),flip(a)]. 62.57/62.88 18918 ld(rd(mult(A,B),mult(C,B)),mult(A,ld(C,B))) = B. [para(10055(a,1),25(a,1,1))]. 62.57/62.88 18942 rd(mult(ld(A,unit),ld(B,A)),mult(B,A)) = ld(mult(B,mult(B,A)),unit). [para(2309(a,1),10055(a,2)),rewrite([10055(6),9649(4),10884(10)])]. 62.57/62.88 18963 ld(rd(mult(A,B),mult(C,B)),B) = mult(rd(B,mult(A,ld(C,B))),B). [para(10055(a,1),9990(a,1,1))]. 62.57/62.88 19358 mult(mult(A,ld(B,ld(A,rd(C,A)))),A) = ld(rd(B,A),mult(ld(A,unit),C)). [para(2372(a,1),11366(a,1,2)),flip(a)]. 62.57/62.88 19359 mult(mult(b,ld(A,ld(b,c))),b) = ld(rd(A,b),c). [para(3871(a,1),11366(a,1,2)),flip(a)]. 62.57/62.88 19375 ld(rd(A,mult(B,A)),mult(C,A)) = mult(mult(A,ld(ld(B,A),C)),A). [para(9603(a,1),11366(a,1,1))]. 62.57/62.88 19394 mult(mult(mult(b,c),ld(b,A)),mult(b,c)) = ld(ld(c,unit),mult(A,mult(b,c))). [para(13617(a,1),11366(a,1,1)),flip(a)]. 62.57/62.88 19818 ld(mult(rd(A,B),ld(C,B)),rd(A,mult(C,B))) = ld(B,unit). [para(11615(a,1),686(a,1,1))]. 62.57/62.88 19841 mult(mult(A,ld(mult(B,A),C)),ld(C,A)) = mult(C,mult(rd(A,mult(B,mult(C,A))),A)). [para(9603(a,1),11615(a,1,1)),rewrite([712(5),12030(8)]),flip(a)]. 62.57/62.88 20028 mult(ld(A,unit),ld(rd(B,A),C)) = mult(ld(B,rd(C,A)),A). [para(685(a,1),12030(a,1,1,2)),rewrite([1011(5),23(4),685(8)]),flip(a)]. 62.57/62.88 20378 rd(ld(rd(A,B),C),B) = mult(B,ld(A,rd(C,B))). [para(12076(a,1),14(a,1,2)),flip(a)]. 62.57/62.88 20379 ld(mult(b,c),rd(A,b)) = ld(b,rd(ld(c,A),b)). [para(126(a,1),12076(a,1,2,1,1)),flip(a)]. 62.57/62.88 20874 rd(ld(A,B),mult(A,B)) = rd(B,mult(A,mult(A,B))). [para(9838(a,1),12950(a,2,1)),rewrite([13290(8),13(7),685(5),685(11),18942(9),685(8)])]. 62.57/62.88 22603 mult(rd(rd(A,c),b),mult(b,c)) = mult(mult(rd(A,b),c),ld(c,b)). [para(14613(a,1),135(a,1,1)),rewrite([1011(8),3901(19),196(16),125(15)]),flip(a)]. 62.57/62.88 25064 ld(rd(b,mult(A,c)),mult(ld(c,b),ld(A,c))) = c. [para(13741(a,1),18918(a,1,1,1))]. 62.57/62.88 25379 mult(ld(b,unit),ld(ld(b,c),A)) = mult(ld(c,rd(A,b)),b). [para(19359(a,1),9649(a,1,1,1)),rewrite([888(6),686(17),888(15)]),flip(a)]. 62.57/62.88 27478 rd(mult(A,B),A) = B | mult(ld(A,unit),B) = ld(A,B). [para(7960(a,1),13(a,1,2)),flip(b)]. 62.57/62.88 27628 rd(mult(A,B),A) = B | rd(B,mult(A,B)) = ld(A,unit). [para(27478(b,1),11(a,1,1)),rewrite([9603(5)])]. 62.57/62.88 28021 rd(A,mult(B,A)) = ld(B,unit) | mult(A,B) = mult(B,A). [para(27628(a,1),12(a,1,1))]. 62.57/62.88 28928 ld(rd(A,B),unit) = rd(B,A) | mult(B,rd(A,B)) = A. [para(12(a,1),28021(a,1,2)),rewrite([12(9)]),flip(a)]. 62.57/62.88 28929 rd(A,mult(B,A)) = ld(B,unit) | mult(ld(B,A),B) = A. [para(14(a,1),28021(a,1,2)),rewrite([9603(2),14(9)])]. 62.57/62.88 29797 rd(A,mult(B,A)) = ld(B,unit) | rd(A,mult(A,B)) = ld(B,unit). [para(28929(b,1),2203(a,1,1))]. 62.57/62.88 41831 mult(rd(A,B),ld(ld(C,ld(B,unit)),C)) = mult(mult(A,mult(C,rd(C,B))),B). [para(2302(a,1),654(a,1,2,2)),rewrite([735(7),12962(5),2302(11),735(12)])]. 62.57/62.88 47586 ld(rd(A,B),unit) = rd(B,A). [para(28928(b,1),29797(b,1,2)),rewrite([12(7)]),flip(b),flip(c),merge(b),merge(c)]. 62.57/62.88 47587 rd(A,mult(B,A)) = ld(B,unit). [para(28929(b,1),29797(b,1,2)),rewrite([14(8),9603(7),9603(12)]),merge(b),merge(c)]. 62.57/62.88 47740 mult(mult(A,ld(ld(B,A),C)),A) = ld(ld(B,unit),mult(C,A)). [back_rewrite(19375),rewrite([47587(2)]),flip(a)]. 62.57/62.88 47747 mult(ld(A,ld(A,unit)),mult(B,A)) = mult(ld(A,ld(A,B)),A). [back_rewrite(18671),rewrite([47587(2),744(3)])]. 62.57/62.88 47755 rd(A,rd(ld(A,B),mult(B,B))) = mult(mult(A,B),A). [back_rewrite(18407),rewrite([47587(5),685(6),47586(6),47587(6),47587(8),1011(9),23(8),1530(8)])]. 62.57/62.88 47760 mult(ld(mult(ld(A,B),B),ld(A,unit)),A) = mult(ld(B,ld(B,unit)),A). [back_rewrite(18216),rewrite([47587(2),47587(6),685(7),9788(6),47587(11),1011(12),23(11)])]. 62.57/62.88 47764 mult(ld(ld(A,B),ld(B,unit)),B) = mult(ld(ld(A,B),ld(A,unit)),A). [back_rewrite(18178),rewrite([47587(2),47587(5),685(6),9788(5)]),flip(a)]. 62.57/62.88 47787 mult(ld(A,unit),mult(rd(B,C),B)) = mult(rd(ld(A,B),C),B). [back_rewrite(12689),rewrite([47587(2)])]. 62.57/62.88 47788 rd(ld(A,rd(B,A)),rd(C,A)) = ld(mult(rd(C,B),A),unit). [back_rewrite(12687),rewrite([47587(6)]),flip(a)]. 62.57/62.88 47806 mult(ld(A,ld(B,unit)),B) = ld(A,unit). [back_rewrite(9855),rewrite([47587(4)]),flip(a)]. 62.57/62.88 47807 rd(A,mult(ld(A,unit),B)) = mult(rd(A,B),A). [back_rewrite(9839),rewrite([47587(10),888(4),9990(2)]),flip(a)]. 62.57/62.88 47811 mult(ld(A,ld(B,C)),ld(C,B)) = ld(A,unit). [back_rewrite(9798),rewrite([47587(4)]),flip(a)]. 62.57/62.88 47812 ld(ld(A,B),ld(A,unit)) = ld(B,unit). [back_rewrite(9789),rewrite([47587(3)])]. 62.57/62.88 47814 rd(ld(A,B),mult(B,B)) = rd(ld(A,unit),B). [back_rewrite(9779),rewrite([47587(2)]),flip(a)]. 62.57/62.88 47816 mult(ld(A,unit),mult(mult(B,C),B)) = mult(mult(ld(A,B),C),B). [back_rewrite(9775),rewrite([47587(2)])]. 62.57/62.88 47820 rd(ld(A,unit),mult(A,rd(B,A))) = ld(B,ld(A,unit)). [back_rewrite(9656),rewrite([47587(9),888(5)]),flip(a)]. 62.57/62.88 47827 rd(ld(A,B),B) = ld(A,unit). [back_rewrite(9603),rewrite([47587(4)])]. 62.57/62.88 47828 rd(ld(A,unit),B) = ld(mult(B,A),unit). [back_rewrite(9479),rewrite([47587(3)]),flip(a)]. 62.57/62.88 47830 mult(ld(A,ld(B,unit)),A) = mult(ld(A,unit),ld(B,A)). [back_rewrite(12546),rewrite([47747(6),696(2),47828(7),9649(8)])]. 62.57/62.88 47834 mult(ld(A,unit),B) = ld(A,B). [back_rewrite(47764),rewrite([47806(5),888(3),47812(5)]),flip(a)]. 62.57/62.88 47867 ld(mult(ld(A,B),B),unit) = mult(ld(B,ld(B,unit)),A). [back_rewrite(47760),rewrite([47806(6)])]. 62.57/62.88 47908 mult(mult(A,B),A) = mult(A,mult(B,A)). [back_rewrite(47755),rewrite([47814(3),47828(3),1011(4),23(3)]),flip(a)]. 62.57/62.88 47998 ld(mult(A,B),unit) = ld(B,ld(A,unit)). [back_rewrite(47820),rewrite([47828(5),47908(3),12(2)])]. 62.57/62.88 48101 mult(ld(A,ld(B,unit)),A) = ld(A,ld(B,A)). [back_rewrite(47830),rewrite([47834(8)])]. 62.57/62.88 48104 ld(A,mult(B,mult(C,B))) = mult(mult(ld(A,B),C),B). [back_rewrite(47816),rewrite([47908(4),47834(5)])]. 62.57/62.88 48105 mult(rd(A,B),A) = mult(A,ld(B,A)). [back_rewrite(47807),rewrite([47834(3),1011(2)]),flip(a)]. 62.57/62.88 48108 ld(A,mult(B,ld(C,B))) = mult(rd(ld(A,B),C),B). [back_rewrite(47787),rewrite([48105(4),47834(5)])]. 62.57/62.88 48223 ld(b,ld(ld(b,c),A)) = mult(ld(c,rd(A,b)),b). [back_rewrite(25379),rewrite([47834(8)])]. 62.57/62.88 48285 ld(A,ld(rd(B,A),C)) = mult(ld(B,rd(C,A)),A). [back_rewrite(20028),rewrite([47834(5)])]. 62.57/62.88 48309 mult(A,mult(ld(B,ld(A,rd(C,A))),A)) = ld(rd(B,A),ld(A,C)). [back_rewrite(19358),rewrite([47908(5),47834(9)])]. 62.57/62.88 48465 mult(ld(A,rd(B,A)),A) = ld(A,B). [back_rewrite(2372),rewrite([47834(6)])]. 62.57/62.88 48466 rd(ld(A,B),A) = ld(A,rd(B,A)). [back_rewrite(2309),rewrite([47834(3)])]. 62.57/62.88 48468 ld(A,mult(B,A)) = mult(ld(A,B),A). [back_rewrite(1531),rewrite([47834(4)])]. 62.57/62.88 48491 mult(A,mult(ld(ld(B,A),C),A)) = ld(ld(B,unit),mult(C,A)). [back_rewrite(47740),rewrite([47908(4)])]. 62.57/62.88 48749 mult(mult(b,c),mult(ld(b,A),mult(b,c))) = ld(ld(c,unit),mult(A,mult(b,c))). [back_rewrite(19394),rewrite([47908(10)])]. 62.57/62.88 48906 mult(A,mult(ld(mult(rd(B,A),ld(C,A)),C),A)) = mult(mult(C,A),ld(B,mult(C,A))). [back_rewrite(12177),rewrite([47908(6),48105(10)])]. 62.57/62.88 48929 mult(ld(A,B),mult(ld(B,C),ld(A,B))) = ld(A,mult(C,ld(A,B))). [back_rewrite(12032),rewrite([47908(5)])]. 62.57/62.88 48941 mult(ld(ld(A,unit),B),ld(ld(A,unit),B)) = mult(A,mult(B,mult(A,B))). [back_rewrite(11742),rewrite([47908(12),15(11),47908(10),12(9)])]. 62.57/62.88 48947 ld(ld(b,unit),mult(mult(c,A),mult(b,c))) = mult(mult(b,c),mult(A,mult(b,c))). [back_rewrite(11409),rewrite([47908(18)])]. 62.57/62.88 48956 mult(ld(mult(A,B),C),mult(B,ld(mult(A,B),C))) = ld(mult(A,ld(C,mult(A,B))),C). [back_rewrite(11367),rewrite([47908(6)])]. 62.57/62.88 48957 ld(rd(A,B),mult(C,B)) = mult(B,mult(ld(A,C),B)). [back_rewrite(11366),rewrite([47908(6)])]. 62.57/62.88 48979 rd(mult(A,B),mult(B,mult(C,B))) = rd(rd(A,C),B). [back_rewrite(9446),rewrite([47908(3)])]. 62.57/62.88 49025 ld(ld(A,B),A) = mult(ld(B,A),A). [back_rewrite(2303),rewrite([47908(4),14(3)]),flip(a)]. 62.57/62.88 49026 ld(ld(A,unit),B) = mult(A,B). [back_rewrite(2302),rewrite([47908(3),12(2)]),flip(a)]. 62.57/62.88 49088 mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))). [back_rewrite(15),rewrite([47908(5)])]. 62.57/62.88 49110 mult(ld(A,ld(A,unit)),B) = ld(A,ld(A,B)). [back_rewrite(47867),rewrite([47998(4),888(3)]),flip(a)]. 62.57/62.88 49114 rd(ld(A,unit),B) = ld(A,ld(B,unit)). [back_rewrite(47828),rewrite([47998(6)])]. 62.57/62.88 49120 rd(ld(A,rd(B,A)),rd(C,A)) = ld(A,rd(B,C)). [back_rewrite(47788),rewrite([47998(8),47586(7)])]. 62.57/62.88 49194 ld(ld(A,ld(B,unit)),mult(ld(A,B),A)) = mult(B,mult(B,A)). [back_rewrite(2441),rewrite([47998(3)])]. 62.57/62.88 49335 mult(mult(A,ld(mult(B,A),C)),ld(C,A)) = mult(C,mult(A,ld(mult(B,mult(C,A)),A))). [back_rewrite(19841),rewrite([48105(9)])]. 62.57/62.88 49348 ld(rd(mult(A,B),mult(C,B)),B) = mult(B,ld(mult(A,ld(C,B)),B)). [back_rewrite(18963),rewrite([48105(8)])]. 62.57/62.88 49776 mult(mult(b,c),mult(ld(b,A),mult(b,c))) = mult(c,mult(A,mult(b,c))). [back_rewrite(48749),rewrite([49026(18)])]. 62.57/62.88 49821 mult(mult(A,mult(B,rd(B,C))),C) = mult(rd(A,C),mult(C,mult(B,B))). [back_rewrite(41831),rewrite([49025(5),49026(4),27(3)]),flip(a)]. 62.57/62.88 49912 mult(mult(A,B),ld(B,A)) = mult(B,mult(ld(B,A),A)). [back_rewrite(12958),rewrite([49025(5)])]. 62.57/62.88 49928 mult(mult(b,c),mult(A,mult(b,c))) = mult(b,mult(mult(c,A),mult(b,c))). [back_rewrite(48947),rewrite([49026(10)]),flip(a)]. 62.57/62.88 49930 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [back_rewrite(48941),rewrite([49026(3),49026(4)])]. 62.57/62.88 49946 mult(A,mult(ld(ld(B,A),C),A)) = mult(B,mult(C,A)). [back_rewrite(48491),rewrite([49026(8)])]. 62.57/62.88 50040 ld(mult(A,B),mult(A,rd(B,A))) = ld(A,unit). [back_rewrite(3161),rewrite([49026(3)])]. 62.57/62.88 50042 rd(mult(A,mult(B,C)),B) = mult(mult(A,B),rd(C,B)). [back_rewrite(3154),rewrite([49026(3)])]. 62.57/62.88 50052 rd(mult(A,B),A) = mult(A,rd(B,A)). [back_rewrite(2385),rewrite([49026(3)])]. 62.57/62.88 50055 mult(mult(A,rd(B,C)),C) = mult(rd(A,C),mult(C,B)). [back_rewrite(750),rewrite([49026(4)]),flip(a)]. 62.57/62.88 50056 mult(mult(A,rd(B,C)),mult(C,B)) = mult(rd(A,C),mult(C,mult(B,B))). [back_rewrite(735),rewrite([49026(5),49821(8)])]. 62.57/62.88 50139 mult(b,mult(mult(c,ld(b,A)),mult(b,c))) = mult(c,mult(A,mult(b,c))). [back_rewrite(49776),rewrite([49928(10)])]. 62.57/62.88 50318 rd(A,rd(B,C)) = mult(A,rd(C,B)). [para(47586(a,1),685(a,1,2)),flip(a)]. 62.57/62.88 50332 rd(mult(A,B),mult(C,B)) = rd(B,mult(C,ld(A,B))). [para(10055(a,1),47586(a,1,1)),rewrite([47586(5)])]. 62.57/62.88 50346 mult(A,ld(B,ld(A,unit))) = rd(rd(A,B),A). [para(47586(a,1),20378(a,1,1)),rewrite([753(4)]),flip(a)]. 62.57/62.88 50347 ld(mult(ld(A,B),B),ld(A,unit)) = rd(A,mult(B,mult(B,A))). [para(20874(a,1),47586(a,2)),rewrite([1011(3),49912(3),47998(5)])]. 62.57/62.88 50420 mult(ld(A,rd(B,A)),rd(A,C)) = ld(A,rd(B,C)). [back_rewrite(49120),rewrite([50318(4)])]. 62.57/62.88 50534 mult(A,ld(mult(B,ld(C,A)),A)) = mult(C,ld(B,A)). [back_rewrite(49348),rewrite([50332(3),25(4)]),flip(a)]. 62.57/62.88 50593 rd(mult(A,ld(B,C)),C) = rd(C,mult(B,ld(A,C))). [back_rewrite(10055),rewrite([50332(6)])]. 62.57/62.88 50896 mult(mult(A,B),ld(B,ld(C,unit))) = rd(B,mult(C,ld(A,B))). [para(47827(a,1),581(a,1,2,2)),rewrite([50593(8)])]. 62.57/62.88 50902 mult(A,mult(B,ld(mult(C,mult(A,B)),B))) = ld(C,B). [para(47827(a,1),11615(a,1,1)),rewrite([47834(3),12030(4),49335(6)]),flip(a)]. 62.57/62.88 50906 mult(A,mult(ld(A,B),B)) = mult(B,B). [para(47827(a,1),12816(a,1,1)),rewrite([48104(5),27(5),50042(6),21(5),10(6),49026(5)])]. 62.57/62.88 50939 mult(A,ld(ld(B,A),rd(C,A))) = rd(mult(B,C),A). [para(47827(a,1),20378(a,1,1,1)),rewrite([49026(3)]),flip(a)]. 62.57/62.88 50946 rd(c,mult(ld(c,b),ld(A,c))) = rd(mult(A,c),b). [para(25064(a,1),47827(a,1,1)),rewrite([47586(14)])]. 62.57/62.88 50982 rd(A,mult(B,mult(B,A))) = ld(B,ld(B,unit)). [para(47827(a,1),9407(a,1,2)),rewrite([48104(3),27(3),50042(4),21(3),10(4),50347(5)])]. 62.57/62.88 51002 ld(ld(A,B),rd(B,C)) = ld(B,rd(mult(A,B),C)). [para(19818(a,1),47827(a,1,1)),rewrite([50318(5),47834(5),47998(8),47586(7)]),flip(a)]. 62.57/62.88 51069 mult(mult(A,ld(mult(B,A),C)),ld(C,A)) = ld(B,A). [back_rewrite(49335),rewrite([50902(10)])]. 62.57/62.88 51125 rd(ld(A,B),mult(A,B)) = ld(A,ld(A,unit)). [back_rewrite(20874),rewrite([50982(6)])]. 62.57/62.88 51702 mult(ld(A,B),ld(B,C)) = mult(B,ld(mult(A,B),C)). [para(47834(a,1),135(a,1,1)),rewrite([12030(3),47834(6)]),flip(a)]. 62.57/62.88 51704 ld(ld(A,B),C) = mult(ld(B,A),C). [para(888(a,1),47834(a,1,1)),flip(a)]. 62.57/62.88 51723 mult(ld(A,ld(B,unit)),mult(C,B)) = mult(ld(A,ld(B,C)),B). [para(47834(a,1),196(a,1,1)),rewrite([49114(6)]),flip(a)]. 62.57/62.88 51726 ld(mult(A,A),B) = ld(A,ld(A,B)). [para(1018(a,1),47834(a,1,1)),rewrite([685(5),48466(3),753(2),49110(4),23(4)]),flip(a)]. 62.57/62.88 51727 rd(mult(ld(A,ld(B,unit)),C),B) = ld(A,ld(B,rd(C,B))). [para(47834(a,1),2355(a,2)),rewrite([49114(3)])]. 62.57/62.88 51754 mult(mult(A,B),ld(B,C)) = mult(B,mult(ld(B,A),C)). [para(47834(a,1),12030(a,2,2,1)),rewrite([51704(4),23(2),135(3),51704(5)])]. 62.57/62.88 52038 ld(rd(A,B),C) = mult(rd(B,A),C). [para(47586(a,1),47834(a,1,1)),flip(a)]. 62.57/62.88 52095 ld(A,rd(mult(B,A),C)) = mult(ld(A,B),rd(A,C)). [back_rewrite(51002),rewrite([51704(3)]),flip(a)]. 62.57/62.88 52101 mult(A,mult(ld(A,B),rd(C,A))) = rd(mult(B,C),A). [back_rewrite(50939),rewrite([51704(3)])]. 62.57/62.88 52140 mult(A,mult(mult(ld(A,B),C),A)) = mult(B,mult(C,A)). [back_rewrite(49946),rewrite([51704(2)])]. 62.57/62.88 52179 mult(mult(A,B),mult(ld(B,A),B)) = mult(A,mult(A,B)). [back_rewrite(49194),rewrite([51704(6),51704(3),23(2)])]. 62.57/62.88 52249 ld(b,mult(ld(c,b),A)) = mult(ld(c,rd(A,b)),b). [back_rewrite(48223),rewrite([51704(5)])]. 62.57/62.88 52438 rd(A,mult(B,ld(C,A))) = mult(A,rd(ld(A,C),B)). [back_rewrite(50896),rewrite([51754(5),685(4)]),flip(a)]. 62.57/62.88 52524 mult(rd(rd(A,c),b),mult(b,c)) = mult(c,mult(ld(c,rd(A,b)),b)). [back_rewrite(22603),rewrite([51754(16)])]. 62.57/62.88 52551 rd(mult(mult(A,c),b),mult(b,c)) = mult(c,mult(ld(c,rd(A,b)),b)). [back_rewrite(16918),rewrite([51754(16)])]. 62.57/62.88 52624 rd(mult(A,mult(B,C)),C) = mult(C,mult(ld(C,A),B)). [back_rewrite(135),rewrite([51754(6)])]. 62.57/62.88 52795 mult(rd(A,B),mult(C,A)) = mult(A,mult(ld(B,C),A)). [back_rewrite(48957),rewrite([52038(3)])]. 62.57/62.88 52860 mult(A,mult(ld(B,ld(A,rd(C,A))),A)) = mult(rd(A,B),ld(A,C)). [back_rewrite(48309),rewrite([52038(8)])]. 62.57/62.88 52861 ld(A,mult(rd(A,B),C)) = mult(ld(B,rd(C,A)),A). [back_rewrite(48285),rewrite([52038(2)])]. 62.57/62.88 53141 mult(c,mult(ld(c,A),ld(b,c))) = rd(mult(A,c),b). [back_rewrite(50946),rewrite([52438(8),1011(7)])]. 62.57/62.88 53155 rd(mult(A,ld(B,C)),C) = mult(C,rd(ld(C,A),B)). [back_rewrite(50593),rewrite([52438(6)])]. 62.57/62.88 53186 rd(mult(A,B),mult(C,B)) = mult(B,rd(ld(B,A),C)). [back_rewrite(50332),rewrite([52438(6)])]. 62.57/62.88 53618 mult(A,mult(ld(A,B),A)) = mult(B,A). [para(14(a,1),47908(a,1,1)),flip(a)]. 62.57/62.88 53731 mult(A,ld(mult(B,A),mult(A,C))) = mult(ld(B,A),C). [para(47908(a,1),12030(a,1,1,2)),rewrite([48104(3),11(4)]),flip(a)]. 62.57/62.88 53978 mult(A,ld(B,ld(C,unit))) = rd(A,mult(C,B)). [para(47998(a,1),685(a,1,2))]. 62.57/62.88 54042 mult(ld(A,ld(B,unit)),C) = ld(mult(B,A),C). [para(47998(a,1),47834(a,1,1))]. 62.57/62.88 54097 rd(rd(A,B),A) = rd(A,mult(A,B)). [back_rewrite(50346),rewrite([53978(4)]),flip(a)]. 62.57/62.88 54203 rd(ld(mult(A,B),C),A) = ld(B,ld(A,rd(C,A))). [back_rewrite(51727),rewrite([54042(4)])]. 62.57/62.88 54204 ld(mult(A,B),mult(C,A)) = mult(ld(B,ld(A,C)),A). [back_rewrite(51723),rewrite([54042(5)])]. 62.57/62.88 54219 ld(mult(A,B),B) = ld(B,ld(A,B)). [back_rewrite(48101),rewrite([54042(4)])]. 62.57/62.88 54507 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(48105(a,1),196(a,2)),rewrite([51754(3),50906(3),48468(5),52179(6)])]. 62.57/62.88 55961 ld(mult(A,ld(B,C)),D) = mult(rd(ld(C,B),A),D). [para(1011(a,1),52038(a,1,1))]. 62.57/62.88 55981 ld(mult(A,rd(B,C)),D) = mult(rd(rd(C,B),A),D). [para(50318(a,1),52038(a,1,1))]. 62.57/62.88 56161 mult(A,mult(rd(ld(A,B),C),A)) = mult(B,ld(C,A)). [back_rewrite(50534),rewrite([55961(3)])]. 62.57/62.88 56193 mult(ld(mult(A,B),C),mult(B,ld(mult(A,B),C))) = mult(ld(B,ld(A,rd(C,A))),C). [back_rewrite(48956),rewrite([55961(10),54203(9)])]. 62.57/62.88 56196 mult(A,mult(mult(mult(ld(A,B),rd(A,C)),B),A)) = mult(mult(B,A),ld(C,mult(B,A))). [back_rewrite(48906),rewrite([55961(4),50318(3)])]. 62.57/62.88 57162 mult(rd(A,mult(B,C)),mult(B,mult(C,C))) = mult(rd(A,B),mult(B,C)). [para(50040(a,1),196(a,1,1,2)),rewrite([685(3),50056(9),21(6),9(9)]),flip(a)]. 62.57/62.88 57336 mult(mult(ld(A,B),A),B) = mult(ld(A,B),mult(A,B)). [para(51125(a,1),108(a,1,1)),rewrite([49930(6),54042(7),51726(5),13(4),48104(3)])]. 62.57/62.88 58214 mult(A,mult(mult(mult(ld(A,B),C),B),A)) = mult(mult(B,mult(C,B)),A). [para(48104(a,1),53618(a,1,2,1))]. 62.57/62.88 58215 mult(A,mult(ld(mult(B,A),C),A)) = ld(B,mult(C,A)). [para(53618(a,1),48104(a,1,2)),rewrite([51702(5),47908(6)]),flip(a)]. 62.57/62.88 58262 mult(mult(A,mult(rd(B,C),A)),B) = mult(mult(A,B),ld(C,mult(A,B))). [back_rewrite(56196),rewrite([58214(6)])]. 62.57/62.88 58330 mult(A,mult(mult(rd(ld(A,B),C),B),A)) = mult(mult(B,ld(C,B)),A). [para(48108(a,1),53618(a,1,2,1))]. 62.57/62.88 58882 rd(mult(A,b),mult(b,c)) = mult(b,rd(ld(b,A),c)). [para(3871(a,1),48979(a,1,2,2)),rewrite([1011(10),53155(12)])]. 62.57/62.88 58936 mult(c,mult(ld(c,rd(A,b)),b)) = mult(b,mult(c,ld(mult(b,c),A))). [back_rewrite(52551),rewrite([58882(8),12030(7)]),flip(a)]. 62.57/62.88 58963 mult(rd(rd(A,c),b),mult(b,c)) = mult(b,mult(c,ld(mult(b,c),A))). [back_rewrite(52524),rewrite([58936(16)])]. 62.57/62.88 59687 rd(ld(A,mult(B,C)),B) = mult(ld(A,B),rd(C,B)). [para(47834(a,1),50042(a,1,1)),rewrite([47834(6)])]. 62.57/62.88 59816 mult(mult(A,mult(B,ld(mult(C,B),D))),B) = mult(rd(A,B),mult(B,ld(C,mult(D,B)))). [para(12030(a,1),50055(a,1,1,2))]. 62.57/62.88 60097 ld(A,rd(mult(A,B),C)) = mult(rd(B,A),rd(A,C)). [para(50052(a,1),50420(a,1,1,2)),rewrite([13(3)]),flip(a)]. 62.57/62.88 60785 mult(mult(A,mult(ld(A,B),C)),ld(C,A)) = mult(B,A). [para(47834(a,1),51069(a,1,1,2,1)),rewrite([51704(2),51704(8),23(7)])]. 62.57/62.88 60792 mult(mult(A,ld(mult(B,A),C)),ld(B,A)) = mult(ld(B,rd(C,B)),A). [para(51069(a,1),54507(a,2,2)),rewrite([49930(7),56193(6),60785(7)]),flip(a)]. 62.57/62.88 60794 mult(mult(ld(A,B),mult(C,D)),ld(D,ld(A,B))) = mult(ld(A,B),mult(C,ld(A,B))). [para(47811(a,1),51069(a,1,1,2,1)),rewrite([51704(4),23(3),51704(10),51704(8),47908(10)])]. 62.57/62.88 60817 ld(A,mult(B,ld(A,C))) = mult(ld(A,rd(B,A)),C). [para(51069(a,1),51069(a,1,1,2,1)),rewrite([51704(3),60794(7),48929(5),55961(8),12030(6),60792(8)])]. 62.57/62.88 60875 mult(A,mult(ld(A,rd(B,A)),C)) = mult(B,ld(A,C)). [para(48105(a,1),51702(a,2,2,1)),rewrite([52038(2),12(2),55961(5),48466(4)]),flip(a)]. 62.57/62.88 61194 ld(A,mult(mult(A,B),C)) = mult(rd(B,A),mult(A,C)). [para(685(a,1),51754(a,1,1)),rewrite([51704(4),23(3),51704(8),23(7),47834(8)]),flip(a)]. 62.57/62.88 61228 mult(mult(A,mult(ld(A,B),C)),mult(B,A)) = mult(mult(B,A),mult(ld(A,C),mult(B,A))). [para(51754(a,1),47908(a,1,1))]. 62.57/62.88 61668 rd(mult(A,B),mult(C,A)) = mult(A,rd(rd(B,A),C)). [para(685(a,1),52095(a,1,2,1)),rewrite([51704(5),23(2),51704(6),23(5),49114(7),53978(8)]),flip(a)]. 62.57/62.88 61734 rd(mult(mult(A,B),C),A) = mult(A,mult(B,rd(C,A))). [para(13(a,1),52101(a,1,2,1)),flip(a)]. 62.57/62.88 61863 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [para(13(a,1),52140(a,1,2,1,1)),flip(a)]. 62.57/62.88 61866 mult(mult(A,B),mult(ld(B,C),mult(A,B))) = mult(A,mult(C,mult(A,B))). [para(686(a,1),52140(a,1,2,1,1)),rewrite([47834(4)])]. 62.57/62.88 61870 mult(b,mult(c,mult(mult(ld(b,ld(c,A)),b),c))) = mult(mult(A,c),b). [para(6452(a,1),52140(a,2)),rewrite([20379(9),48465(11),49928(12),61863(11)])]. 62.57/62.88 61908 mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))). [back_rewrite(61228),rewrite([61863(5),58214(5),61866(8)])]. 62.57/62.88 61927 mult(b,mult(c,mult(mult(ld(b,A),b),c))) = mult(c,mult(A,mult(b,c))). [back_rewrite(50139),rewrite([61863(9)])]. 62.57/62.88 61956 mult(mult(A,B),ld(C,mult(A,B))) = mult(A,mult(B,mult(ld(C,A),B))). [back_rewrite(58262),rewrite([61908(4),52795(3)]),flip(a)]. 62.57/62.88 61979 mult(c,mult(ld(c,A),mult(b,c))) = mult(mult(A,c),b). [back_rewrite(61870),rewrite([61927(12)])]. 62.57/62.88 62511 mult(ld(A,ld(B,rd(C,B))),B) = ld(mult(B,A),C). [para(48466(a,1),52861(a,2,1,2)),rewrite([60817(4),54097(2),696(3),47998(3),54042(4)]),flip(a)]. 62.57/62.88 62537 mult(rd(A,B),ld(A,C)) = mult(A,ld(mult(A,B),C)). [back_rewrite(52860),rewrite([62511(4)]),flip(a)]. 62.57/62.88 62824 mult(mult(A,ld(B,A)),C) = mult(A,ld(B,mult(A,C))). [para(53186(a,1),48105(a,1,1)),rewrite([61863(5),58330(5),61956(8),58215(7)])]. 62.57/62.88 63025 mult(rd(A,B),mult(B,ld(A,ld(B,A)))) = ld(B,A). [para(48465(a,1),53731(a,2)),rewrite([12(5),55981(4),54097(3),11615(4),62537(4),54219(3)])]. 62.57/62.88 63269 ld(mult(b,c),mult(A,c)) = mult(ld(b,ld(c,A)),c). [para(125(a,1),54204(a,1,1))]. 62.57/62.88 64034 ld(A,mult(mult(B,A),C)) = mult(ld(A,B),mult(A,C)). [para(54204(a,1),58215(a,1,2,1)),rewrite([52140(5)]),flip(a)]. 62.57/62.88 64265 mult(mult(A,B),ld(A,C)) = mult(A,mult(rd(B,A),C)). [para(59687(a,1),56161(a,1,2,1)),rewrite([52140(5)]),flip(a)]. 62.57/62.88 64562 mult(mult(A,ld(B,C)),ld(C,D)) = mult(C,mult(rd(ld(C,A),B),D)). [para(53155(a,1),60875(a,1,2,1,2)),rewrite([13(4)]),flip(a)]. 62.57/62.88 65026 mult(A,B) = mult(B,A) | mult(mult(A,C),B) = mult(A,mult(C,B)). [para(781(a,1),61908(a,2,2)),rewrite([12(5)])]. 62.57/62.88 65303 mult(rd(A,mult(A,B)),mult(A,rd(B,mult(B,A)))) = ld(B,unit). [para(686(a,1),63025(a,1,2,2,2)),rewrite([53978(7),61668(5),54097(4),686(8)])]. 62.57/62.88 65430 mult(ld(c,b),mult(c,ld(b,mult(A,c)))) = mult(rd(A,b),mult(b,c)). [para(63269(a,1),61194(a,1)),rewrite([64034(7),52249(8),60097(6),3900(5),196(8),125(7),58963(8),59816(10),14256(3),27(19),57162(20)])]. 62.57/62.88 68688 mult(c,a) = mult(a,c). [resolve(65026,b,20,a),flip(a)]. 62.57/62.88 68690 mult(b,a) = mult(a,b). [para(65026(b,1),106(a,1)),rewrite([125(11)]),flip(a),xx(b)]. 62.57/62.88 68699 mult(a,rd(c,a)) = c. [para(68688(a,1),11(a,1,1)),rewrite([50052(5)])]. 62.57/62.88 68716 mult(ld(a,c),a) = c. [para(68688(a,1),48468(a,1,2)),rewrite([13(5)]),flip(a)]. 62.57/62.88 68776 rd(mult(mult(a,c),A),c) = mult(c,mult(a,rd(A,c))). [para(68688(a,1),61734(a,1,1,1))]. 62.57/62.88 68854 mult(a,rd(b,a)) = b. [para(68690(a,1),11(a,1,1)),rewrite([50052(5)])]. 62.57/62.88 68855 mult(ld(b,a),b) = a. [para(68690(a,1),13(a,1,2)),rewrite([48468(5)])]. 62.57/62.88 68871 mult(ld(a,b),a) = b. [para(68690(a,1),48468(a,1,2)),rewrite([13(5)]),flip(a)]. 62.57/62.88 68911 mult(ld(b,a),mult(a,b)) = mult(a,a). [para(68690(a,1),57336(a,2,2)),rewrite([68855(5)]),flip(a)]. 62.57/62.88 68932 rd(mult(mult(a,b),A),b) = mult(b,mult(a,rd(A,b))). [para(68690(a,1),61734(a,1,1,1))]. 62.57/62.88 69006 rd(c,a) = ld(a,c). [para(68699(a,1),13(a,1,2)),flip(a)]. 62.57/62.88 69047 rd(a,c) = ld(c,a). [para(68699(a,1),65303(a,1,1,2)),rewrite([69006(7),69006(10),68716(12),47827(9),14(8),10(5),69006(6),51704(8),10(8)])]. 62.57/62.88 69207 rd(b,a) = ld(a,b). [para(68854(a,1),13(a,1,2)),flip(a)]. 62.57/62.88 69210 mult(ld(a,b),b) = mult(b,ld(a,b)). [para(68854(a,1),47908(a,2,2)),rewrite([69207(3),68871(5),69207(4),69207(8)]),flip(a)]. 62.57/62.88 69216 mult(a,mult(b,ld(a,b))) = mult(b,b). [para(68854(a,1),49930(a,1,1)),rewrite([69207(5),14(6),69207(7),69207(11),14(12),69210(9)]),flip(a)]. 62.57/62.88 69248 rd(a,b) = ld(b,a). [para(68854(a,1),65303(a,1,1,2)),rewrite([69207(7),69207(10),68871(12),47827(9),14(8),10(5),69207(6),51704(8),10(8)])]. 62.57/62.89 69630 mult(ld(b,a),mult(b,mult(b,c))) = mult(mult(a,c),b). [para(69248(a,1),6452(a,1,1))]. 62.57/62.89 70052 mult(ld(b,a),mult(b,mult(b,A))) = mult(a,mult(a,mult(ld(a,b),A))). [para(68911(a,1),64265(a,1,1)),rewrite([51704(7),54507(8),1011(18),64265(18),69207(15),69210(17),69216(18),54507(15)]),flip(a)]. 62.57/62.89 70057 mult(a,mult(a,mult(ld(a,b),c))) = mult(mult(a,c),b). [back_rewrite(69630),rewrite([70052(9)])]. 62.57/62.89 71028 mult(c,mult(a,ld(c,b))) = mult(a,b). [para(11701(b,1),68776(a,1,1)),rewrite([11(18),14256(19)]),flip(b),unit_del(a,106)]. 62.57/62.89 71033 ld(c,mult(a,b)) = mult(a,ld(c,b)). [para(71028(a,1),13(a,1,2))]. 62.57/62.89 71034 rd(ld(b,c),a) = ld(mult(a,b),c). [para(71028(a,1),686(a,1,1)),rewrite([47998(12),51704(12),685(12)]),flip(a)]. 62.57/62.89 71035 mult(c,mult(ld(c,b),a)) = mult(a,b). [para(71028(a,1),42(b,2)),rewrite([68690(10)]),merge(b)]. 62.57/62.89 71039 mult(mult(a,c),b) = mult(mult(a,b),c). [para(71028(a,1),47908(a,1,1)),rewrite([196(13),69047(9),61979(14)]),flip(a)]. 62.57/62.89 71046 mult(mult(a,c),rd(ld(c,b),a)) = b. [para(71028(a,1),50042(a,1,1)),rewrite([50052(5),69207(4),14(5),68688(4)]),flip(a)]. 62.57/62.89 71051 mult(ld(b,a),mult(b,c)) = mult(b,mult(ld(b,a),c)). [para(71028(a,1),52624(a,1,1)),rewrite([1011(7),51754(7),51704(15),14431(15),62824(17),68688(15),65430(18),69248(10)]),flip(a)]. 62.57/62.89 71084 mult(a,mult(a,mult(ld(a,b),c))) = mult(mult(a,b),c). [back_rewrite(70057),rewrite([71039(14)])]. 62.57/62.89 71108 mult(b,mult(a,ld(b,c))) = mult(a,c). [para(71033(a,1),53141(a,1,2,1)),rewrite([64562(10),12(9),14(6),68688(3),68932(10),3900(8)]),flip(a)]. 62.57/62.89 71183 ld(a,mult(b,c)) = mult(c,ld(a,b)). [para(71034(a,1),56161(a,1,2,1)),rewrite([58215(9),125(4)])]. 62.57/62.89 71229 mult(b,mult(ld(b,a),c)) = mult(a,c). [para(71035(a,1),50042(a,1,1)),rewrite([1011(7),51754(7),14(12),1011(13),71108(14)])]. 62.57/62.89 71252 mult(ld(b,a),mult(b,c)) = mult(a,c). [back_rewrite(71051),rewrite([71229(14)])]. 62.57/62.89 71263 mult(ld(b,mult(a,c)),b) = mult(a,c). [para(71039(a,1),48468(a,1,2)),rewrite([64034(7),71252(7)]),flip(a)]. 62.57/62.89 71265 mult(mult(a,b),c) = mult(b,mult(a,c)). [para(71039(a,1),53618(a,2)),rewrite([71263(8)]),flip(a)]. 62.57/62.89 71319 mult(a,mult(ld(a,b),c)) = mult(a,mult(c,ld(a,b))). [para(71039(a,1),61734(a,1,1)),rewrite([71265(5),50042(7),68690(3),69006(6),64265(7),69207(4),69207(12)])]. 62.57/62.89 71351 mult(a,mult(a,mult(c,ld(a,b)))) = mult(b,mult(a,c)). [back_rewrite(71084),rewrite([71319(8),71265(14)])]. 62.57/62.89 71357 mult(b,mult(a,c)) != mult(a,mult(b,c)). [back_rewrite(20),rewrite([71265(5)])]. 62.57/62.89 71397 rd(ld(c,b),a) = ld(mult(a,c),b). [para(71046(a,1),13(a,1,2)),flip(a)]. 62.57/62.89 71399 mult(a,mult(c,ld(a,b))) = mult(b,c). [para(71046(a,1),49088(a,1,1)),rewrite([71397(10),58215(13),71183(9)]),flip(a)]. 62.57/62.89 71420 $F. [back_rewrite(71351),rewrite([71399(8)]),flip(a),unit_del(a,71357)]. 62.57/62.89 62.57/62.89 % SZS output end Refutation 62.57/62.89 ============================== end of proof ========================== 62.57/62.89 62.57/62.89 ============================== STATISTICS ============================ 62.57/62.89 62.57/62.89 Given=2693. Generated=2676756. Kept=71411. proofs=1. 62.57/62.89 Usable=968. Sos=9993. Demods=8967. Limbo=21, Disabled=60441. Hints=0. 62.57/62.89 Megabytes=56.13. 62.57/62.89 User_CPU=60.51, System_CPU=1.41, Wall_clock=62. 62.57/62.89 62.57/62.89 ============================== end of statistics ===================== 62.57/62.89 62.57/62.89 ============================== end of search ========================= 62.57/62.89 62.57/62.89 THEOREM PROVED 62.57/62.89 % SZS status Theorem 62.57/62.89 62.57/62.89 Exiting with 1 proof. 62.57/62.89 62.57/62.89 Process 7605 exit (max_proofs) Thu Aug 29 13:23:06 2019 62.57/62.89 Prover9 interrupted 62.57/62.89 EOF