0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s 0.14/0.36 % Computer : n008.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % DateTime : Thu Jul 2 08:38:44 EDT 2020 0.14/0.36 % CPUTime : 3.82/4.11 ============================== Prover9 =============================== 3.82/4.11 Prover9 (32) version 2009-11A, November 2009. 3.82/4.11 Process 16683 was started by sandbox2 on n008.cluster.edu, 3.82/4.11 Thu Jul 2 08:38:44 2020 3.82/4.11 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_16518_n008.cluster.edu". 3.82/4.11 ============================== end of head =========================== 3.82/4.11 3.82/4.11 ============================== INPUT ================================= 3.82/4.11 3.82/4.11 % Reading from file /tmp/Prover9_16518_n008.cluster.edu 3.82/4.11 3.82/4.11 set(prolog_style_variables). 3.82/4.11 set(auto2). 3.82/4.11 % set(auto2) -> set(auto). 3.82/4.11 % set(auto) -> set(auto_inference). 3.82/4.11 % set(auto) -> set(auto_setup). 3.82/4.11 % set(auto_setup) -> set(predicate_elim). 3.82/4.11 % set(auto_setup) -> assign(eq_defs, unfold). 3.82/4.11 % set(auto) -> set(auto_limits). 3.82/4.11 % set(auto_limits) -> assign(max_weight, "100.000"). 3.82/4.11 % set(auto_limits) -> assign(sos_limit, 20000). 3.82/4.11 % set(auto) -> set(auto_denials). 3.82/4.11 % set(auto) -> set(auto_process). 3.82/4.11 % set(auto2) -> assign(new_constants, 1). 3.82/4.11 % set(auto2) -> assign(fold_denial_max, 3). 3.82/4.11 % set(auto2) -> assign(max_weight, "200.000"). 3.82/4.11 % set(auto2) -> assign(max_hours, 1). 3.82/4.11 % assign(max_hours, 1) -> assign(max_seconds, 3600). 3.82/4.11 % set(auto2) -> assign(max_seconds, 0). 3.82/4.11 % set(auto2) -> assign(max_minutes, 5). 3.82/4.11 % assign(max_minutes, 5) -> assign(max_seconds, 300). 3.82/4.11 % set(auto2) -> set(sort_initial_sos). 3.82/4.11 % set(auto2) -> assign(sos_limit, -1). 3.82/4.11 % set(auto2) -> assign(lrs_ticks, 3000). 3.82/4.11 % set(auto2) -> assign(max_megs, 400). 3.82/4.11 % set(auto2) -> assign(stats, some). 3.82/4.11 % set(auto2) -> clear(echo_input). 3.82/4.11 % set(auto2) -> set(quiet). 3.82/4.11 % set(auto2) -> clear(print_initial_clauses). 3.82/4.11 % set(auto2) -> clear(print_given). 3.82/4.11 assign(lrs_ticks,-1). 3.82/4.11 assign(sos_limit,10000). 3.82/4.11 assign(order,kbo). 3.82/4.11 set(lex_order_vars). 3.82/4.11 clear(print_given). 3.82/4.11 3.82/4.11 % formulas(sos). % not echoed (9 formulas) 3.82/4.11 3.82/4.11 ============================== end of input ========================== 3.82/4.11 3.82/4.11 % From the command line: assign(max_seconds, 960). 3.82/4.11 3.82/4.11 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 3.82/4.11 3.82/4.11 % Formulas that are not ordinary clauses: 3.82/4.11 1 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 3.82/4.11 2 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 3.82/4.11 3 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption]. 3.82/4.11 4 (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]. 3.82/4.11 5 (all X0 all X1 all X2 (mult(X0,mult(X2,X1)) = mult(X0,mult(X1,X2)) & mult(mult(X0,X2),X1) = mult(mult(X0,X1),X2) | mult(mult(X0,X2),X1) = mult(X0,mult(X2,X1)) & mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2)))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 3.82/4.11 6 (all A A = mult(A,unit)) # label(f05) # label(axiom) # label(non_clause). [assumption]. 3.82/4.11 7 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 3.82/4.11 8 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 3.82/4.11 3.82/4.11 ============================== end of process non-clausal formulas === 3.82/4.11 3.82/4.11 ============================== PROCESS INITIAL CLAUSES =============== 3.82/4.11 3.82/4.11 ============================== PREDICATE ELIMINATION ================= 3.82/4.11 3.82/4.11 ============================== end predicate elimination ============= 3.82/4.11 3.82/4.11 Auto_denials: (non-Horn, no changes). 3.82/4.11 3.82/4.11 Term ordering decisions: 3.82/4.11 Function symbol KB weights: unit=1. a=1. b=1. c=1. mult=1. ld=1. rd=1. 3.82/4.11 3.82/4.11 ============================== end of process initial clauses ======== 3.82/4.11 3.82/4.11 ============================== CLAUSES FOR SEARCH ==================== 3.82/4.11 3.82/4.11 ============================== end of clauses for search ============= 3.82/4.11 3.82/4.11 ============================== SEARCH ================================ 3.82/4.11 3.82/4.11 % Starting search at 0.01 seconds. 3.82/4.11 3.82/4.11 Low Water (keep): wt=129.000, iters=3347 3.82/4.11 3.82/4.11 Low Water (keep): wt=124.000, iters=3339 3.82/4.11 3.82/4.11 Low Water (keep): wt=101.000, iters=3343 3.82/4.11 3.82/4.11 Low Water (keep): wt=97.000, iters=3426 3.82/4.11 3.82/4.11 Low Water (keep): wt=93.000, iters=3375 3.82/4.11 3.82/4.11 Low Water (keep): wt=92.000, iters=3351 13.31/13.63 13.31/13.63 Low Water (keep): wt=85.000, iters=3347 13.31/13.63 13.31/13.63 Low Water (keep): wt=81.000, iters=3385 13.31/13.63 13.31/13.63 Low Water (keep): wt=77.000, iters=3381 13.31/13.63 13.31/13.63 Low Water (keep): wt=76.000, iters=3403 13.31/13.63 13.31/13.63 Low Water (keep): wt=75.000, iters=3335 13.31/13.63 13.31/13.63 Low Water (keep): wt=73.000, iters=3393 13.31/13.63 13.31/13.63 Low Water (keep): wt=69.000, iters=3384 13.31/13.63 13.31/13.63 Low Water (keep): wt=65.000, iters=3340 13.31/13.63 13.31/13.63 Low Water (keep): wt=64.000, iters=3358 13.31/13.63 13.31/13.63 Low Water (keep): wt=62.000, iters=3390 13.31/13.63 13.31/13.63 Low Water (keep): wt=61.000, iters=3341 13.31/13.63 13.31/13.63 Low Water (keep): wt=58.000, iters=3365 13.31/13.63 13.31/13.63 Low Water (keep): wt=57.000, iters=3403 13.31/13.63 13.31/13.63 Low Water (keep): wt=54.000, iters=3335 13.31/13.63 13.31/13.63 Low Water (keep): wt=53.000, iters=3356 13.31/13.63 13.31/13.63 Low Water (keep): wt=50.000, iters=3449 13.31/13.63 13.31/13.63 Low Water (keep): wt=49.000, iters=3363 13.31/13.63 13.31/13.63 Low Water (keep): wt=48.000, iters=3355 13.31/13.63 13.31/13.63 Low Water (keep): wt=46.000, iters=3365 13.31/13.63 13.31/13.63 Low Water (displace): id=4564, wt=165.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5856, wt=156.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4556, wt=153.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4340, wt=142.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5629, wt=141.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5840, wt=140.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5855, wt=136.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4563, wt=133.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5460, wt=132.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5599, wt=129.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5461, wt=128.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4329, wt=126.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5188, wt=125.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5851, wt=124.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4513, wt=121.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5839, wt=120.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4019, wt=118.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5628, wt=117.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5854, wt=116.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5886, wt=115.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5219, wt=113.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5808, wt=112.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5880, wt=111.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4336, wt=110.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5612, wt=109.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5849, wt=108.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5885, wt=107.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4399, wt=106.000 13.31/13.63 13.31/13.63 Low Water (displace): id=6158, wt=105.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5853, wt=104.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5879, wt=103.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4018, wt=102.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5344, wt=101.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5843, wt=100.000 13.31/13.63 13.31/13.63 Low Water (keep): wt=45.000, iters=3402 13.31/13.63 13.31/13.63 Low Water (displace): id=5884, wt=99.000 13.31/13.63 13.31/13.63 Low Water (displace): id=3640, wt=98.000 13.31/13.63 13.31/13.63 Low Water (displace): id=6152, wt=97.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5794, wt=96.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5878, wt=95.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4355, wt=94.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5686, wt=93.000 13.31/13.63 13.31/13.63 Low Water (displace): id=6176, wt=92.000 13.31/13.63 13.31/13.63 Low Water (keep): wt=44.000, iters=3333 13.31/13.63 13.31/13.63 Low Water (displace): id=5863, wt=91.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4499, wt=90.000 13.31/13.63 13.31/13.63 Low Water (displace): id=6556, wt=89.000 13.31/13.63 13.31/13.63 Low Water (keep): wt=42.000, iters=3343 13.31/13.63 13.31/13.63 Low Water (displace): id=6578, wt=88.000 13.31/13.63 13.31/13.63 Low Water (displace): id=5883, wt=87.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4331, wt=86.000 13.31/13.63 13.31/13.63 Low Water (displace): id=6523, wt=85.000 13.31/13.63 13.31/13.63 Low Water (displace): id=6763, wt=84.000 13.31/13.63 13.31/13.63 Low Water (displace): id=6748, wt=83.000 13.31/13.63 13.31/13.63 Low Water (displace): id=6454, wt=82.000 13.31/13.63 13.31/13.63 Low Water (displace): id=6554, wt=81.000 13.31/13.63 13.31/13.63 Low Water (displace): id=6919, wt=80.000 13.31/13.63 13.31/13.63 Low Water (displace): id=6911, wt=79.000 13.31/13.63 13.31/13.63 Low Water (displace): id=4359, wt=78.000 13.31/13.63 13.31/13.63 Low Water (displace): id=12580, wt=36.000 13.31/13.63 13.31/13.63 Low Water (keep): wt=41.000, iters=3371 13.31/13.63 13.31/13.63 Low Water (displace): id=12848, wt=34.000 13.31/13.63 13.31/13.63 Low Water (keep): wt=40.000, iters=3340 13.31/13.63 13.31/13.63 Low Water (displace): id=13274, wt=26.000 13.31/13.63 13.31/13.63 Low Water (keep): wt=38.000, iters=3335 13.31/13.63 13.31/13.63 Low Water (displace): id=15205, wt=23.000 13.31/13.63 13.31/13.63 Low Water (displace): id=15211, wt=19.000 13.31/13.63 13.31/13.63 Low Water (keep): wt=37.000, iters=3397 13.31/13.63 13.31/13.63 Low Water (keep): wt=36.000, iters=3376 13.31/13.63 13.31/13.63 Low Water (keep): wt=35.000, iters=3385 13.31/13.63 13.31/13.63 Low Water (keep): wt=34.000, iters=3333 13.31/13.63 13.31/13.63 Low Water (keep): wt=33.000, iters=3350 13.31/13.63 13.31/13.63 Low Water (keep): wt=32.000, iters=3351 13.31/13.63 13.31/13.63 Low Water (displace): id=18100, wt=17.000 13.31/13.63 13.31/13.63 Low Water (keep): wt=31.000, iters=3336 13.31/13.63 13.31/13.63 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 141 (0.00 of 12.32 sec). 13.31/13.63 13.31/13.63 Low Water (keep): wt=30.000, iters=3333 103.78/104.15 103.78/104.15 Low Water (keep): wt=29.000, iters=3394 103.78/104.15 103.78/104.15 Low Water (keep): wt=28.000, iters=3425 103.78/104.15 103.78/104.15 Low Water (keep): wt=27.000, iters=3333 103.78/104.15 103.78/104.15 Low Water (keep): wt=26.000, iters=3349 103.78/104.15 103.78/104.15 Low Water (keep): wt=25.000, iters=3333 103.78/104.15 103.78/104.15 Low Water (keep): wt=24.000, iters=3338 103.78/104.15 103.78/104.15 Low Water (keep): wt=23.000, iters=3335 103.78/104.15 103.78/104.15 Low Water (displace): id=34932, wt=16.000 103.78/104.15 103.78/104.15 Low Water (keep): wt=22.000, iters=3333 103.78/104.15 103.78/104.15 Low Water (keep): wt=21.000, iters=3334 103.78/104.15 103.78/104.15 Low Water (keep): wt=19.000, iters=4333 103.78/104.15 103.78/104.15 ============================== PROOF ================================= 103.78/104.15 % SZS status Theorem 103.78/104.15 % SZS output start Refutation 103.78/104.15 103.78/104.15 % Proof 1 at 100.58 (+ 2.56) seconds. 103.78/104.15 % Length of proof is 475. 103.78/104.15 % Level of proof is 42. 103.78/104.15 % Maximum clause weight is 32.000. 103.78/104.15 % Given clauses 3128. 103.78/104.15 103.78/104.15 1 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 103.78/104.15 2 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 103.78/104.15 3 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption]. 103.78/104.15 4 (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]. 103.78/104.15 5 (all X0 all X1 all X2 (mult(X0,mult(X2,X1)) = mult(X0,mult(X1,X2)) & mult(mult(X0,X2),X1) = mult(mult(X0,X1),X2) | mult(mult(X0,X2),X1) = mult(X0,mult(X2,X1)) & mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2)))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 103.78/104.15 6 (all A A = mult(A,unit)) # label(f05) # label(axiom) # label(non_clause). [assumption]. 103.78/104.15 7 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 103.78/104.15 8 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 103.78/104.15 9 mult(A,unit) = A # label(f05) # label(axiom). [clausify(6)]. 103.78/104.15 10 mult(unit,A) = A # label(f06) # label(axiom). [clausify(8)]. 103.78/104.15 11 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(1)]. 103.78/104.15 12 rd(mult(A,B),B) = A # label(f04) # label(axiom). [clausify(2)]. 103.78/104.15 13 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(3)]. 103.78/104.15 14 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(7)]. 103.78/104.15 15 mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)) # label(f07) # label(axiom). [clausify(4)]. 103.78/104.15 16 mult(A,mult(B,C)) = mult(A,mult(C,B)) | mult(mult(A,B),C) = mult(A,mult(B,C)) # label(f08) # label(axiom). [clausify(5)]. 103.78/104.15 17 mult(A,mult(B,C)) = mult(A,mult(C,B)) | mult(mult(A,C),B) = mult(A,mult(C,B)) # label(f08) # label(axiom). [clausify(5)]. 103.78/104.15 18 mult(mult(A,B),C) = mult(mult(A,C),B) | mult(mult(A,B),C) = mult(A,mult(B,C)) # label(f08) # label(axiom). [clausify(5)]. 103.78/104.15 20 mult(a,mult(b,c)) != mult(mult(a,b),c) # label(goals) # label(negated_conjecture). [assumption]. 103.78/104.15 21 mult(mult(a,b),c) != mult(a,mult(b,c)). [copy(20),flip(a)]. 103.78/104.15 22 ld(A,A) = unit. [para(9(a,1),11(a,1,2))]. 103.78/104.15 23 ld(unit,A) = A. [para(10(a,1),11(a,1,2))]. 103.78/104.15 25 rd(A,A) = unit. [para(10(a,1),12(a,1,1))]. 103.78/104.15 26 ld(rd(A,B),A) = B. [para(13(a,1),11(a,1,2))]. 103.78/104.15 27 rd(A,ld(B,A)) = B. [para(14(a,1),12(a,1,1))]. 103.78/104.15 28 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(9(a,1),15(a,1,1)),rewrite([9(4)])]. 103.78/104.15 29 ld(mult(mult(A,B),C),mult(A,mult(mult(B,C),B))) = B. [para(15(a,1),11(a,1,2))]. 103.78/104.15 30 rd(mult(A,mult(mult(B,C),B)),B) = mult(mult(A,B),C). [para(15(a,1),12(a,1,1))]. 103.78/104.15 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)]. 103.78/104.15 32 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)]. 103.78/104.15 33 mult(A,mult(mult(B,ld(mult(A,B),C)),B)) = mult(C,B). [para(14(a,1),15(a,1,1)),flip(a)]. 103.78/104.15 34 mult(mult(mult(A,mult(mult(B,C),B)),D),B) = mult(mult(mult(A,B),C),mult(mult(B,D),B)). [para(15(a,1),15(a,1,1,1))]. 103.78/104.15 42 mult(A,mult(ld(mult(A,B),C),B)) = mult(A,mult(B,ld(mult(A,B),C))) | mult(A,mult(B,ld(mult(A,B),C))) = C. [para(16(b,1),14(a,1)),flip(a)]. 103.78/104.15 43 mult(A,mult(ld(A,B),C)) = mult(A,mult(C,ld(A,B))) | mult(A,mult(ld(A,B),C)) = mult(B,C). [para(14(a,1),16(b,1,1)),flip(b)]. 103.78/104.15 74 mult(mult(A,B),ld(A,C)) = mult(C,B) | mult(A,mult(ld(A,C),B)) = mult(C,B). [para(14(a,1),18(a,1,1)),rewrite([14(7)]),flip(a),flip(b)]. 103.78/104.15 106 mult(a,mult(c,b)) = mult(a,mult(b,c)). [resolve(21,a,17,b)]. 103.78/104.15 107 mult(mult(a,c),b) != mult(a,mult(b,c)). [para(18(a,1),21(a,1)),unit_del(a,21)]. 103.78/104.15 108 ld(mult(A,B),mult(A,mult(B,B))) = B. [para(28(a,1),11(a,1,2))]. 103.78/104.15 109 rd(mult(A,mult(B,B)),B) = mult(A,B). [para(28(a,1),12(a,1,1))]. 103.78/104.15 110 mult(rd(A,B),mult(B,B)) = mult(A,B). [para(13(a,1),28(a,1,1)),flip(a)]. 103.78/104.15 111 mult(A,mult(ld(A,B),ld(A,B))) = mult(B,ld(A,B)). [para(14(a,1),28(a,1,1)),flip(a)]. 103.78/104.15 113 mult(mult(A,mult(B,B)),B) = mult(A,mult(B,mult(B,B))). [para(28(a,1),15(a,1,1)),rewrite([28(5)])]. 103.78/104.15 114 mult(mult(A,B),mult(B,B)) = mult(A,mult(B,mult(B,B))). [para(28(a,1),15(a,1)),rewrite([28(5)])]. 103.78/104.15 125 mult(c,b) = mult(b,c). [para(106(a,1),11(a,1,2)),rewrite([11(7)]),flip(a)]. 103.78/104.15 127 rd(mult(b,c),b) = c. [para(125(a,1),12(a,1,1))]. 103.78/104.15 128 mult(mult(mult(b,c),A),b) = mult(c,mult(mult(b,A),b)). [para(125(a,1),15(a,1,1,1))]. 103.78/104.15 132 mult(mult(b,c),b) = mult(c,mult(b,b)). [para(125(a,1),28(a,1,1))]. 103.78/104.15 135 ld(mult(mult(A,B),ld(B,C)),mult(A,mult(C,B))) = B. [para(14(a,1),29(a,1,2,2,1))]. 103.78/104.15 179 mult(rd(A,mult(B,B)),B) = rd(A,B). [para(13(a,1),109(a,1,1)),flip(a)]. 103.78/104.15 189 ld(rd(A,B),mult(A,B)) = mult(B,B). [para(110(a,1),11(a,1,2))]. 103.78/104.15 190 rd(mult(A,B),mult(B,B)) = rd(A,B). [para(110(a,1),12(a,1,1))]. 103.78/104.15 199 mult(rd(A,B),mult(B,mult(B,mult(B,B)))) = mult(A,mult(B,mult(B,B))). [para(110(a,1),28(a,1,1)),rewrite([114(3),114(7)]),flip(a)]. 103.78/104.15 201 ld(mult(A,B),mult(A,mult(B,mult(B,B)))) = mult(B,B). [para(110(a,1),108(a,1,1)),rewrite([114(5),199(6)])]. 103.78/104.15 206 rd(mult(A,mult(B,C)),C) = mult(mult(A,C),ld(C,B)). [para(14(a,1),30(a,1,1,2,1))]. 103.78/104.15 227 mult(mult(c,mult(b,b)),c) = mult(b,mult(b,mult(c,c))). [para(132(a,1),15(a,1,1)),rewrite([125(11),28(13)])]. 103.78/104.15 231 mult(mult(b,b),c) = mult(c,mult(b,b)) | mult(c,mult(b,b)) = mult(b,mult(b,c)). [para(132(a,1),18(a,1)),rewrite([132(16),125(20)]),flip(a)]. 103.78/104.15 239 ld(rd(A,mult(B,B)),rd(A,B)) = B. [para(179(a,1),11(a,1,2))]. 103.78/104.15 240 rd(rd(A,B),B) = rd(A,mult(B,B)). [para(179(a,1),12(a,1,1))]. 103.78/104.15 254 ld(rd(unit,A),A) = mult(A,A). [para(10(a,1),189(a,1,2))]. 103.78/104.15 263 ld(A,mult(B,ld(A,B))) = mult(ld(A,B),ld(A,B)). [para(27(a,1),189(a,1,1))]. 103.78/104.15 267 ld(rd(A,B),mult(mult(A,C),B)) = mult(mult(B,C),B). [para(31(a,1),11(a,1,2))]. 103.78/104.15 268 rd(mult(mult(A,B),C),mult(mult(C,B),C)) = rd(A,C). [para(31(a,1),12(a,1,1))]. 103.78/104.15 270 mult(mult(A,ld(B,C)),B) = mult(rd(A,B),mult(C,B)). [para(14(a,1),31(a,1,2,1)),flip(a)]. 103.78/104.15 288 mult(rd(A,c),mult(b,mult(c,c))) = mult(mult(A,b),c). [para(125(a,1),31(a,1,2,1)),rewrite([28(7)])]. 103.78/104.15 292 mult(rd(A,b),mult(c,mult(b,b))) = mult(mult(A,c),b). [para(132(a,1),31(a,1,2))]. 103.78/104.15 297 mult(ld(A,unit),ld(A,unit)) = ld(A,ld(A,unit)). [para(27(a,1),254(a,1,1)),flip(a)]. 103.78/104.15 313 rd(rd(A,mult(B,B)),B) = rd(rd(A,B),mult(B,B)). [para(179(a,1),190(a,1,1)),flip(a)]. 103.78/104.15 368 mult(mult(A,ld(mult(B,A),C)),A) = ld(B,mult(C,A)). [para(33(a,1),11(a,1,2)),flip(a)]. 103.78/104.15 546 mult(mult(b,mult(c,c)),b) = mult(c,mult(c,mult(b,b))). [para(28(a,1),128(a,1,1)),rewrite([132(13)])]. 103.78/104.15 557 ld(mult(mult(A,B),ld(B,unit)),mult(A,B)) = B. [para(10(a,1),135(a,1,2,2))]. 103.78/104.15 558 ld(mult(A,ld(B,C)),mult(rd(A,B),mult(C,B))) = B. [para(13(a,1),135(a,1,1,1))]. 103.78/104.15 614 ld(mult(A,ld(B,unit)),A) = B. [para(13(a,1),557(a,1,1,1)),rewrite([13(5)])]. 103.78/104.15 699 ld(ld(A,unit),unit) = A. [para(10(a,1),614(a,1,1))]. 103.78/104.15 705 ld(mult(A,B),A) = rd(unit,B). [para(26(a,1),614(a,1,1,2))]. 103.78/104.15 706 mult(A,ld(B,unit)) = rd(A,B). [para(614(a,1),27(a,1,2)),flip(a)]. 103.78/104.15 736 rd(ld(A,unit),A) = ld(A,ld(A,unit)). [back_rewrite(297),rewrite([706(5)])]. 103.78/104.15 749 mult(ld(A,unit),A) = unit. [para(699(a,1),14(a,1,2))]. 103.78/104.15 750 rd(unit,A) = ld(A,unit). [para(26(a,1),699(a,1,1)),flip(a)]. 103.78/104.15 751 mult(ld(A,unit),mult(mult(A,B),A)) = mult(B,A). [para(699(a,1),32(a,1,2,1,1)),rewrite([699(7),10(7),699(9)])]. 103.78/104.15 755 ld(A,rd(A,B)) = ld(B,unit). [para(699(a,1),135(a,1,1,2)),rewrite([706(3),13(2),706(4),750(2),706(3)])]. 103.78/104.15 756 ld(mult(A,B),A) = ld(B,unit). [back_rewrite(705),rewrite([750(4)])]. 103.78/104.15 763 ld(ld(A,unit),A) = mult(A,A). [back_rewrite(254),rewrite([750(2)])]. 103.78/104.15 773 ld(mult(A,A),unit) = ld(A,ld(A,unit)). [para(749(a,1),190(a,1,1)),rewrite([750(3),736(6)])]. 103.78/104.15 774 mult(ld(A,ld(A,unit)),mult(A,mult(A,A))) = A. [para(749(a,1),113(a,1,1)),rewrite([10(2),773(3)]),flip(a)]. 103.78/104.15 775 mult(A,rd(mult(ld(B,unit),C),B)) = rd(mult(rd(A,B),C),B). [para(749(a,1),34(a,1,1,1,2,1)),rewrite([706(4),750(2),706(3),706(5),706(6),13(5),706(9)]),flip(a)]. 103.78/104.15 777 mult(ld(A,unit),mult(A,mult(A,A))) = mult(A,A). [para(749(a,1),114(a,1,1)),rewrite([10(3)]),flip(a)]. 103.78/104.15 784 mult(ld(A,ld(A,unit)),A) = ld(A,unit). [para(750(a,1),179(a,1,1)),rewrite([773(3),750(6)])]. 103.78/104.15 844 mult(rd(mult(A,B),C),B) = mult(A,mult(rd(B,C),B)). [para(706(a,1),15(a,1,1)),rewrite([706(6)])]. 103.78/104.15 850 mult(A,ld(B,ld(B,unit))) = rd(A,mult(B,B)). [para(706(a,1),28(a,1,1)),rewrite([706(4),240(2),706(7),736(5)]),flip(a)]. 103.78/104.15 852 ld(rd(A,B),rd(A,mult(B,B))) = ld(B,unit). [para(706(a,1),108(a,1,1)),rewrite([706(6),736(4),850(5)])]. 103.78/104.15 858 mult(A,rd(ld(B,unit),mult(B,B))) = rd(rd(A,B),mult(B,B)). [para(706(a,1),113(a,1,1,2)),rewrite([736(3),850(4),706(5),313(3),706(10),736(8),850(9)]),flip(a)]. 103.78/104.15 884 ld(ld(A,B),unit) = ld(B,A). [para(27(a,1),755(a,1,2)),flip(a)]. 103.78/104.15 895 ld(mult(A,ld(B,A)),B) = ld(ld(B,A),ld(A,B)). [para(111(a,1),756(a,1,1)),rewrite([773(8),884(7)])]. 103.78/104.15 1005 mult(ld(A,B),ld(B,A)) = unit. [para(884(a,1),14(a,1,2))]. 103.78/104.15 1010 rd(A,ld(B,C)) = mult(A,ld(C,B)). [para(884(a,1),706(a,1,2)),flip(a)]. 103.78/104.15 1011 ld(ld(A,B),ld(B,A)) = mult(ld(B,A),ld(B,A)). [para(884(a,1),763(a,1,1))]. 103.78/104.15 1014 ld(mult(A,ld(B,A)),B) = mult(ld(A,B),ld(A,B)). [back_rewrite(895),rewrite([1011(6)])]. 103.78/104.15 1222 mult(mult(A,ld(B,C)),ld(C,B)) = A. [para(1010(a,1),12(a,1))]. 103.78/104.15 1227 rd(A,mult(ld(B,C),ld(B,C))) = mult(A,mult(ld(C,B),ld(C,B))). [para(1010(a,1),240(a,1,1)),rewrite([1010(4),28(4)]),flip(a)]. 103.78/104.15 1346 ld(ld(A,unit),mult(B,A)) = mult(mult(A,B),A). [para(751(a,1),11(a,1,2))]. 103.78/104.15 1347 rd(mult(A,B),mult(mult(B,A),B)) = ld(B,unit). [para(751(a,1),12(a,1,1))]. 103.78/104.15 1349 mult(ld(A,unit),mult(B,A)) = mult(ld(A,B),A). [para(14(a,1),751(a,1,2,1))]. 103.78/104.15 1402 ld(ld(A,ld(A,unit)),A) = mult(A,mult(A,A)). [para(774(a,1),11(a,1,2))]. 103.78/104.15 1423 ld(mult(A,mult(A,A)),unit) = ld(A,ld(A,ld(A,unit))). [para(774(a,1),756(a,1,1)),flip(a)]. 103.78/104.15 1447 ld(mult(A,A),ld(A,unit)) = ld(A,ld(A,ld(A,unit))). [para(777(a,1),756(a,1,1)),rewrite([1423(8)])]. 103.78/104.15 1451 mult(A,mult(ld(A,B),C)) = mult(B,C) | mult(ld(A,B),C) = mult(C,ld(A,B)). [para(43(a,1),11(a,1,2)),rewrite([11(9)]),flip(b)]. 103.78/104.15 1770 mult(mult(A,rd(B,A)),A) = ld(ld(A,unit),B). [para(13(a,1),1346(a,1,2)),flip(a)]. 103.78/104.15 1771 mult(mult(ld(A,B),A),ld(A,B)) = ld(ld(B,A),B). [para(14(a,1),1346(a,1,2)),rewrite([884(3)]),flip(a)]. 103.78/104.15 1777 rd(mult(ld(A,unit),B),A) = ld(A,rd(B,A)). [para(26(a,1),1346(a,1,1)),rewrite([750(2),706(3),750(4),750(7),706(8)]),flip(a)]. 103.78/104.15 1779 ld(ld(b,unit),mult(b,c)) = mult(c,mult(b,b)). [para(125(a,1),1346(a,1,2)),rewrite([132(12)])]. 103.78/104.15 1799 rd(ld(A,unit),mult(A,A)) = ld(A,ld(A,ld(A,unit))). [para(784(a,1),1346(a,2,1)),rewrite([884(5),763(3),14(5),1447(4),850(10)]),flip(a)]. 103.78/104.15 1821 rd(mult(rd(A,B),C),B) = mult(A,ld(B,rd(C,B))). [back_rewrite(775),rewrite([1777(4)]),flip(a)]. 103.78/104.15 1837 mult(A,ld(B,ld(B,ld(B,unit)))) = rd(rd(A,B),mult(B,B)). [back_rewrite(858),rewrite([1799(4)])]. 103.78/104.15 1844 rd(mult(ld(A,B),A),mult(B,A)) = ld(A,unit). [para(14(a,1),1347(a,1,2,1))]. 103.78/104.15 1861 rd(mult(b,c),mult(b,mult(c,c))) = ld(c,unit). [para(125(a,1),1347(a,1,2,1)),rewrite([28(8)])]. 103.78/104.15 2118 mult(ld(A,rd(B,A)),A) = mult(ld(A,unit),B). [para(13(a,1),1349(a,1,2)),flip(a)]. 103.78/104.15 2131 rd(ld(ld(A,unit),B),A) = mult(A,rd(B,A)). [para(26(a,1),1349(a,1,1)),rewrite([750(2),706(3),750(4),750(7),706(8)]),flip(a)]. 103.78/104.15 2134 mult(ld(b,unit),mult(b,c)) = mult(ld(b,c),b). [para(125(a,1),1349(a,1,2))]. 103.78/104.15 2144 mult(mult(rd(A,B),mult(C,B)),ld(B,rd(D,B))) = rd(mult(mult(A,ld(B,C)),D),B). [para(1349(a,1),34(a,1,1,1,2,1)),rewrite([706(5),12(3),706(6),706(7),706(13),1777(11)]),flip(a)]. 103.78/104.15 2163 mult(ld(A,ld(A,unit)),mult(B,mult(A,A))) = mult(ld(mult(A,A),B),mult(A,A)). [para(773(a,1),1349(a,1,1))]. 103.78/104.15 2177 ld(ld(mult(A,B),unit),mult(ld(B,A),B)) = mult(A,mult(A,B)). [para(1349(a,1),1346(a,1,2)),rewrite([706(10),12(8)])]. 103.78/104.15 2228 rd(rd(A,B),mult(B,B)) = rd(A,mult(B,mult(B,B))). [para(1402(a,1),1010(a,1,2)),rewrite([1837(8)]),flip(a)]. 103.78/104.15 2231 mult(A,ld(B,ld(B,ld(B,unit)))) = rd(A,mult(B,mult(B,B))). [back_rewrite(1837),rewrite([2228(8)])]. 103.78/104.15 2239 rd(rd(A,mult(B,B)),B) = rd(A,mult(B,mult(B,B))). [back_rewrite(313),rewrite([2228(6)])]. 103.78/104.15 2431 ld(mult(A,rd(B,A)),ld(ld(A,unit),B)) = A. [para(1770(a,1),11(a,1,2))]. 103.78/104.15 2453 mult(rd(A,B),ld(ld(B,unit),C)) = mult(mult(A,rd(C,B)),B). [para(1770(a,1),31(a,1,2))]. 103.78/104.15 2470 ld(ld(ld(A,unit),B),mult(A,rd(B,A))) = ld(A,unit). [para(1770(a,1),756(a,1,1))]. 103.78/104.15 2499 ld(ld(A,rd(B,A)),mult(ld(A,unit),B)) = A. [para(1777(a,1),26(a,1,1))]. 103.78/104.15 2530 ld(mult(c,mult(b,b)),unit) = ld(mult(b,c),ld(b,unit)). [para(1779(a,1),884(a,1,1))]. 103.78/104.15 2541 rd(mult(ld(b,c),b),mult(b,c)) = ld(b,unit). [para(125(a,1),1844(a,1,2))]. 103.78/104.15 2841 ld(mult(b,mult(c,c)),unit) = ld(mult(b,c),ld(c,unit)). [para(1861(a,1),755(a,1,2)),flip(a)]. 103.78/104.15 3198 rd(mult(A,mult(b,c)),b) = mult(mult(A,b),ld(b,c)). [para(2134(a,1),31(a,1,2,1)),rewrite([1010(4),23(3),706(11),12(9),706(14)]),flip(a)]. 103.78/104.15 3199 rd(mult(ld(b,c),b),mult(mult(b,c),mult(b,c))) = rd(ld(b,unit),mult(b,c)). [para(2134(a,1),190(a,1,1))]. 103.78/104.15 3204 ld(mult(mult(ld(b,unit),c),ld(c,b)),mult(ld(b,c),b)) = c. [para(2134(a,1),135(a,1,2))]. 103.78/104.15 3214 mult(b,mult(ld(b,c),b)) = mult(b,c). [para(2134(a,1),43(a,1,2)),rewrite([706(15),127(13),2134(19),10(23)]),merge(b)]. 103.78/104.15 3228 mult(ld(b,c),b) = c. [para(3214(a,1),11(a,1,2)),rewrite([11(5)]),flip(a)]. 103.78/104.15 3243 ld(mult(mult(ld(b,unit),c),ld(c,b)),c) = c. [back_rewrite(3204),rewrite([3228(14)])]. 103.78/104.15 3247 rd(c,mult(mult(b,c),mult(b,c))) = rd(ld(b,unit),mult(b,c)). [back_rewrite(3199),rewrite([3228(5)])]. 103.78/104.15 3255 rd(c,mult(b,c)) = ld(b,unit). [back_rewrite(2541),rewrite([3228(5)])]. 103.78/104.15 3257 ld(ld(b,c),c) = b. [para(3228(a,1),11(a,1,2))]. 103.78/104.15 3258 rd(c,b) = ld(b,c). [para(3228(a,1),12(a,1,1))]. 103.78/104.15 3264 mult(ld(b,c),mult(b,b)) = mult(b,c). [para(3228(a,1),28(a,1,1)),rewrite([125(3)]),flip(a)]. 103.78/104.15 3267 mult(mult(A,ld(c,b)),mult(c,ld(b,c))) = mult(mult(A,b),ld(b,c)). [para(3228(a,1),31(a,1,2,1)),rewrite([1010(4)])]. 103.78/104.15 3268 rd(ld(b,c),b) = rd(c,mult(b,b)). [para(3228(a,1),190(a,1,1)),flip(a)]. 103.78/104.15 3269 mult(mult(b,c),ld(b,c)) = mult(b,mult(c,ld(b,c))). [para(3228(a,1),32(a,1,2,1)),rewrite([125(10)]),flip(a)]. 103.78/104.15 3278 ld(c,ld(b,c)) = ld(b,unit). [para(3228(a,1),756(a,1,1))]. 103.78/104.15 3284 ld(ld(c,b),c) = mult(c,ld(b,c)). [para(3228(a,1),1346(a,2,1)),rewrite([884(5),14(8)])]. 103.78/104.15 3288 mult(ld(b,ld(b,c)),b) = mult(ld(b,unit),c). [para(3228(a,1),1349(a,1,2)),flip(a)]. 103.78/104.15 3527 ld(ld(b,unit),mult(c,mult(b,c))) = mult(mult(b,c),mult(b,c)). [para(3255(a,1),189(a,1,1))]. 103.78/104.15 3528 ld(mult(b,c),unit) = ld(c,ld(b,unit)). [para(3255(a,1),755(a,1,2)),flip(a)]. 103.78/104.15 3530 ld(ld(c,ld(b,unit)),c) = mult(c,mult(b,c)). [para(3255(a,1),1770(a,1,1,2)),rewrite([706(7),127(5),3528(10)]),flip(a)]. 103.78/104.15 3542 rd(mult(ld(b,c),A),b) = mult(c,ld(b,rd(A,b))). [para(3278(a,1),32(a,1,2,1,1)),rewrite([3278(10),706(9),1777(7),3278(15),706(14)]),flip(a)]. 103.78/104.15 3546 rd(mult(ld(b,unit),c),mult(ld(b,c),c)) = ld(c,unit). [para(3278(a,1),1844(a,1,1,1))]. 103.78/104.15 3920 ld(mult(c,ld(b,c)),unit) = ld(c,ld(c,b)). [para(3284(a,1),884(a,1,1))]. 103.78/104.15 3923 rd(A,mult(c,ld(b,c))) = mult(A,ld(c,ld(c,b))). [para(3284(a,1),1010(a,1,2))]. 103.78/104.15 4607 ld(ld(A,rd(ld(B,unit),A)),rd(ld(A,unit),B)) = A. [para(706(a,1),2499(a,1,2))]. 103.78/104.15 4982 mult(mult(ld(b,unit),c),mult(ld(c,b),c)) = mult(mult(ld(b,unit),c),b) | mult(mult(ld(b,unit),c),mult(ld(c,b),c)) = c. [para(3243(a,1),42(a,1,2,1)),rewrite([14(10),3243(26),3243(38)]),flip(a)]. 103.78/104.15 4992 mult(ld(b,ld(b,c)),mult(b,b)) = mult(mult(ld(b,unit),c),b). [para(3288(a,1),28(a,1,1)),flip(a)]. 103.78/104.15 5007 mult(b,mult(ld(b,unit),c)) = c. [para(3288(a,1),43(a,1,2)),rewrite([14(15),14(12),3288(17),3228(21)]),merge(b)]. 103.78/104.15 5032 mult(ld(b,unit),c) = ld(b,c). [para(5007(a,1),11(a,1,2)),flip(a)]. 103.78/104.15 5052 mult(ld(b,ld(b,c)),mult(b,b)) = c. [back_rewrite(4992),rewrite([5032(14),3228(14)])]. 103.78/104.15 5057 mult(ld(b,c),mult(ld(c,b),c)) = c. [back_rewrite(4982),rewrite([5032(5),5032(14),3228(14),5032(16)]),merge(b)]. 103.78/104.15 5059 rd(ld(b,c),mult(ld(b,c),c)) = ld(c,unit). [back_rewrite(3546),rewrite([5032(5)])]. 103.78/104.15 5068 rd(ld(b,c),c) = ld(b,unit). [para(5032(a,1),12(a,1,1))]. 103.78/104.15 5070 mult(A,rd(c,mult(b,b))) = mult(A,ld(b,ld(b,c))). [para(5032(a,1),15(a,2,2,1)),rewrite([706(4),706(8),1821(6),3258(4),706(13),3268(11)]),flip(a)]. 103.78/104.15 5074 mult(ld(b,unit),mult(c,c)) = mult(ld(b,c),c). [para(5032(a,1),28(a,1,1)),flip(a)]. 103.78/104.15 5077 mult(mult(A,b),ld(b,ld(b,c))) = rd(mult(A,c),b). [para(5032(a,1),31(a,1,2,1)),rewrite([1010(4),23(3),706(9),3268(7),5070(8),706(14)])]. 103.78/104.15 5094 rd(c,mult(b,b)) = ld(b,ld(b,c)). [para(5032(a,1),1346(a,2,1)),rewrite([884(5),23(3),706(6),3258(4),706(12),3268(10)]),flip(a)]. 103.78/104.15 5097 mult(ld(c,ld(b,unit)),c) = mult(ld(c,unit),ld(b,c)). [para(5032(a,1),1349(a,1,2)),flip(a)]. 103.78/104.15 5513 ld(ld(b,ld(b,unit)),c) = mult(c,mult(b,b)). [para(5052(a,1),1346(a,1,2)),rewrite([773(5),5077(16),127(12)])]. 103.78/104.15 5514 ld(ld(ld(b,c),b),c) = mult(c,ld(b,ld(b,c))). [para(5052(a,1),1346(a,2,1)),rewrite([884(7),5077(14),127(10)])]. 103.78/104.15 5526 mult(ld(c,b),c) = b. [para(5057(a,1),11(a,1,2)),rewrite([3257(5)]),flip(a)]. 103.78/104.15 5890 rd(b,c) = ld(c,b). [para(5526(a,1),12(a,1,1))]. 103.78/104.15 5901 mult(mult(b,c),ld(c,b)) = mult(c,mult(b,ld(c,b))). [para(5526(a,1),32(a,1,2,1)),flip(a)]. 103.78/104.15 5914 ld(ld(c,unit),b) = mult(b,c). [para(5526(a,1),1346(a,1,2)),rewrite([14(10)])]. 103.78/104.15 5915 ld(ld(b,c),b) = mult(b,ld(c,b)). [para(5526(a,1),1346(a,2,1)),rewrite([884(5),14(8)])]. 103.78/104.15 5916 rd(b,mult(b,c)) = ld(c,unit). [para(5526(a,1),1347(a,1,1)),rewrite([14(6)])]. 103.78/104.15 5920 mult(ld(c,ld(c,b)),c) = mult(ld(c,unit),b). [para(5526(a,1),1349(a,1,2)),flip(a)]. 103.78/104.15 5930 mult(ld(b,c),ld(b,c)) = mult(c,ld(b,ld(b,c))). [back_rewrite(5514),rewrite([5915(5),1014(7)])]. 103.78/104.15 5935 ld(ld(c,b),mult(b,c)) = mult(c,c). [para(5890(a,1),189(a,1,1))]. 103.78/104.15 5978 ld(c,ld(b,unit)) = ld(b,ld(c,unit)). [para(5914(a,1),884(a,1,1)),rewrite([3528(5)])]. 103.78/104.15 5981 mult(A,ld(b,ld(c,unit))) = rd(A,mult(b,c)). [para(5914(a,1),1010(a,1,2)),flip(a)]. 103.78/104.15 5988 mult(ld(b,ld(c,unit)),c) = mult(ld(c,unit),ld(b,c)). [back_rewrite(5097),rewrite([5978(5)])]. 103.78/104.15 6017 ld(ld(b,ld(c,unit)),c) = mult(c,mult(b,c)). [back_rewrite(3530),rewrite([5978(5)])]. 103.78/104.15 6018 ld(mult(b,c),unit) = ld(b,ld(c,unit)). [back_rewrite(3528),rewrite([5978(10)])]. 103.78/104.15 6019 ld(ld(c,unit),mult(b,mult(b,c))) = mult(mult(b,c),mult(b,c)). [para(5916(a,1),189(a,1,1))]. 103.78/104.15 6023 ld(ld(b,ld(c,unit)),b) = mult(b,mult(b,c)). [para(5916(a,1),1770(a,1,1,2)),rewrite([706(7),12(5),6018(10)]),flip(a)]. 103.78/104.15 6588 mult(ld(b,c),mult(c,mult(b,ld(c,b)))) = mult(mult(c,c),ld(c,b)). [para(5935(a,1),1349(a,2,1)),rewrite([884(5),5901(10)])]. 103.78/104.15 6982 mult(mult(A,b),mult(c,ld(b,ld(b,c)))) = rd(mult(A,mult(c,c)),b). [para(5074(a,1),31(a,1,2,1)),rewrite([1010(4),23(3),706(11),3542(9),3258(7),706(18)])]. 103.78/104.15 7243 mult(ld(mult(b,b),c),mult(b,b)) = c. [para(5513(a,1),14(a,1,2)),rewrite([2163(11)])]. 103.78/104.15 7247 ld(mult(b,c),ld(b,unit)) = ld(c,ld(b,ld(b,unit))). [para(5513(a,1),884(a,1,1)),rewrite([2530(7)])]. 103.78/104.15 7252 mult(c,mult(b,ld(c,b))) = mult(b,b). [para(5513(a,1),1844(a,1,1,1)),rewrite([850(11),12(9),850(8),5094(6),1010(7),5915(6),884(14),763(12)])]. 103.78/104.15 7258 ld(mult(c,mult(b,b)),unit) = ld(c,ld(b,ld(b,unit))). [back_rewrite(2530),rewrite([7247(14)])]. 103.78/104.15 7259 mult(mult(c,c),ld(c,b)) = mult(b,c). [back_rewrite(6588),rewrite([7252(10),3264(7)]),flip(a)]. 103.78/104.15 7269 mult(mult(b,c),ld(c,b)) = mult(b,b). [back_rewrite(5901),rewrite([7252(14)])]. 103.78/104.15 7281 ld(mult(b,b),c) = ld(b,ld(b,c)). [para(7243(a,1),12(a,1,1)),rewrite([5094(5)]),flip(a)]. 103.78/104.15 7283 ld(c,mult(b,b)) = mult(b,ld(c,b)). [para(7252(a,1),11(a,1,2))]. 103.78/104.15 7308 mult(c,mult(ld(c,b),b)) = mult(b,b). [para(7252(a,1),43(a,2)),merge(b)]. 103.78/104.15 7403 mult(b,mult(c,ld(b,c))) = mult(c,c). [para(7259(a,1),12(a,1,1)),rewrite([1010(7),3269(7)])]. 103.78/104.15 7405 mult(c,mult(b,c)) = mult(b,mult(c,c)). [para(7259(a,1),15(a,1,1)),rewrite([28(5),14(11)]),flip(a)]. 103.78/104.15 7447 mult(mult(b,c),ld(b,c)) = mult(c,c). [back_rewrite(3269),rewrite([7403(14)])]. 103.78/104.15 7449 ld(ld(b,ld(c,unit)),c) = mult(b,mult(c,c)). [back_rewrite(6017),rewrite([7405(12)])]. 103.78/104.15 7452 ld(ld(b,unit),mult(b,mult(c,c))) = mult(mult(b,c),mult(b,c)). [back_rewrite(3527),rewrite([7405(8)])]. 103.78/104.15 7462 mult(mult(b,b),c) = mult(b,mult(b,c)). [para(7269(a,1),15(a,1,1)),rewrite([14(11)])]. 103.78/104.15 7473 rd(mult(b,mult(c,c)),b) = mult(c,c). [para(7269(a,1),190(a,1,1)),rewrite([1227(11),5930(10),6982(11),1010(14),7447(14)])]. 103.78/104.15 7507 mult(c,mult(b,b)) = mult(b,mult(b,c)). [back_rewrite(231),rewrite([7462(5)]),flip(a),merge(b)]. 103.78/104.15 7513 ld(mult(b,mult(b,c)),unit) = ld(c,ld(b,ld(b,unit))). [back_rewrite(7258),rewrite([7507(5)])]. 103.78/104.15 7576 mult(mult(b,mult(c,c)),b) = mult(c,mult(b,mult(b,c))). [back_rewrite(546),rewrite([7507(13)])]. 103.78/104.15 7580 mult(rd(A,b),mult(b,mult(b,c))) = mult(mult(A,c),b). [back_rewrite(292),rewrite([7507(7)])]. 103.78/104.15 7589 mult(mult(b,mult(b,c)),c) = mult(b,mult(b,mult(c,c))). [back_rewrite(227),rewrite([7507(5)])]. 103.78/104.15 7598 mult(ld(b,ld(b,unit)),mult(b,mult(b,c))) = c. [para(7281(a,1),1349(a,2,1)),rewrite([773(5),7507(10),5052(20)])]. 103.78/104.15 7785 mult(ld(c,b),b) = mult(b,ld(c,b)). [para(7308(a,1),11(a,1,2)),rewrite([7283(5)]),flip(a)]. 103.78/104.15 7789 ld(b,mult(c,c)) = mult(c,ld(b,c)). [para(7403(a,1),11(a,1,2))]. 103.78/104.15 7790 mult(mult(c,c),ld(c,ld(c,b))) = b. [para(7403(a,1),12(a,1,1)),rewrite([3923(9)])]. 103.78/104.15 7816 mult(b,mult(ld(b,c),c)) = mult(c,c). [para(7403(a,1),43(a,2)),merge(b)]. 103.78/104.15 7826 mult(ld(c,ld(c,b)),mult(c,c)) = b. [para(7403(a,1),1349(a,1,2)),rewrite([3920(7),1014(16),3267(22),7785(14),1222(18)])]. 103.78/104.15 8394 mult(mult(b,c),mult(b,c)) = mult(b,mult(b,mult(c,c))). [para(7462(a,1),1346(a,1,2)),rewrite([6019(9),7507(12),7589(14)])]. 103.78/104.15 8457 ld(ld(b,unit),mult(b,mult(c,c))) = mult(b,mult(b,mult(c,c))). [back_rewrite(7452),rewrite([8394(16)])]. 103.78/104.15 8466 rd(c,mult(b,mult(b,mult(c,c)))) = rd(ld(b,unit),mult(b,c)). [back_rewrite(3247),rewrite([8394(8)])]. 103.78/104.15 8690 mult(c,mult(b,mult(b,c))) = mult(b,mult(b,mult(c,c))). [para(7473(a,1),1770(a,1,1,2)),rewrite([7576(7),8457(16)])]. 103.78/104.15 8702 rd(mult(b,mult(b,c)),mult(b,b)) = c. [para(7507(a,1),12(a,1,1))]. 103.78/104.15 9004 ld(ld(c,ld(c,unit)),b) = mult(b,mult(c,c)). [para(7790(a,1),1346(a,2,1)),rewrite([773(5),7826(14)])]. 103.78/104.15 9185 mult(ld(b,c),c) = mult(c,ld(b,c)). [para(7816(a,1),11(a,1,2)),rewrite([7789(5)]),flip(a)]. 103.78/104.15 9254 mult(ld(b,c),ld(c,ld(c,b))) = ld(c,unit). [back_rewrite(5059),rewrite([9185(8),3923(9)])]. 103.78/104.15 9265 mult(mult(ld(c,unit),b),c) = b. [para(7826(a,1),28(a,2)),rewrite([5920(7)])]. 103.78/104.15 9302 mult(ld(c,unit),b) = ld(c,b). [para(9265(a,1),12(a,1,1)),rewrite([5890(3)]),flip(a)]. 103.78/104.15 9303 rd(ld(c,b),b) = ld(c,unit). [para(9265(a,1),1844(a,1,2)),rewrite([9302(6),5920(7),9302(5)])]. 103.78/104.15 9325 ld(rd(mult(A,b),mult(b,c)),mult(A,ld(c,b))) = b. [para(9302(a,1),135(a,1,2,2)),rewrite([5981(8)])]. 103.78/104.15 9339 mult(ld(b,ld(c,unit)),b) = mult(ld(b,unit),ld(c,b)). [para(9302(a,1),1349(a,1,2)),flip(a)]. 103.78/104.15 9637 rd(mult(A,B),A) = B | mult(A,mult(ld(A,unit),B)) = B. [para(10(a,1),74(a,2)),rewrite([706(4),10(9)])]. 103.78/104.15 10704 ld(c,ld(b,ld(b,unit))) = ld(b,ld(b,ld(c,unit))). [para(6023(a,1),884(a,1,1)),rewrite([7513(7)])]. 103.78/104.15 10707 mult(A,ld(b,ld(b,ld(c,unit)))) = rd(A,mult(b,mult(b,c))). [para(6023(a,1),1010(a,1,2)),flip(a)]. 103.78/104.15 10714 ld(mult(b,mult(b,c)),unit) = ld(b,ld(b,ld(c,unit))). [back_rewrite(7513),rewrite([10704(14)])]. 103.78/104.15 10877 ld(mult(b,c),ld(c,unit)) = ld(c,ld(b,ld(c,unit))). [para(7449(a,1),884(a,1,1)),rewrite([2841(7)])]. 103.78/104.15 10886 ld(mult(b,mult(c,c)),unit) = ld(c,ld(b,ld(c,unit))). [back_rewrite(2841),rewrite([10877(14)])]. 103.78/104.15 11252 rd(ld(b,unit),mult(b,c)) = ld(b,ld(b,ld(c,unit))). [para(7598(a,1),1347(a,1,1)),rewrite([850(12),8702(10),8690(8),8466(9),10714(14)])]. 103.78/104.15 11984 ld(c,ld(b,ld(c,unit))) = ld(b,ld(c,ld(c,unit))). [para(9004(a,1),884(a,1,1)),rewrite([10886(7)])]. 103.78/104.15 11987 mult(A,ld(b,ld(c,ld(c,unit)))) = rd(A,mult(b,mult(c,c))). [para(9004(a,1),1010(a,1,2)),flip(a)]. 103.78/104.15 12057 mult(b,mult(ld(c,unit),ld(b,c))) = unit. [para(9254(a,1),32(a,1,2,1)),rewrite([14(16),1005(16)])]. 103.78/104.15 12088 mult(ld(c,unit),ld(b,c)) = ld(b,unit). [para(12057(a,1),11(a,1,2)),flip(a)]. 103.78/104.15 12128 mult(ld(b,ld(c,unit)),c) = ld(b,unit). [back_rewrite(5988),rewrite([12088(14)])]. 103.78/104.15 12156 mult(ld(b,unit),ld(c,b)) = ld(c,unit). [para(12088(a,1),12(a,1,1)),rewrite([1010(7)])]. 103.78/104.15 12174 ld(ld(b,unit),ld(c,unit)) = ld(c,b). [para(12088(a,1),756(a,1,1)),rewrite([884(12)])]. 103.78/104.15 12180 rd(ld(b,unit),c) = ld(b,ld(c,unit)). [para(12088(a,1),1346(a,2,1)),rewrite([884(5),23(3),706(8),5068(6),5978(5),706(12)]),flip(a)]. 103.78/104.15 12219 mult(ld(b,ld(c,unit)),b) = ld(c,unit). [back_rewrite(9339),rewrite([12156(14)])]. 103.78/104.15 12243 rd(mult(A,mult(b,c)),mult(b,mult(b,c))) = rd(mult(A,c),mult(b,c)). [para(12128(a,1),31(a,1,2,1)),rewrite([1010(6),5914(5),5981(13),11252(11),10707(12),5981(18)])]. 103.78/104.15 12252 ld(ld(b,unit),ld(b,ld(c,unit))) = ld(c,unit). [para(12128(a,1),756(a,1,1))]. 103.78/104.15 12334 rd(ld(c,unit),b) = ld(b,ld(c,unit)). [para(12156(a,1),1346(a,2,1)),rewrite([884(5),23(3),706(8),9303(6),706(12)]),flip(a)]. 103.78/104.15 12428 rd(ld(b,ld(c,unit)),b) = rd(ld(c,unit),mult(b,b)). [para(12219(a,1),190(a,1,1)),flip(a)]. 103.78/104.15 12480 rd(ld(c,unit),mult(b,b)) = ld(b,ld(b,ld(c,unit))). [para(12334(a,1),1777(a,2,2)),rewrite([706(7),12180(5),12428(7)])]. 103.78/104.15 12484 rd(ld(b,ld(c,unit)),b) = ld(b,ld(b,ld(c,unit))). [back_rewrite(12428),rewrite([12480(14)])]. 103.78/104.15 13368 ld(rd(A,B),rd(A,mult(B,mult(B,B)))) = ld(B,ld(B,unit)). [para(706(a,1),201(a,1,1)),rewrite([706(8),736(6),850(7),1799(5),2231(6),706(10),736(8)])]. 103.78/104.15 13506 mult(mult(A,B),ld(B,rd(C,B))) = rd(mult(A,C),B). [para(13(a,1),206(a,1,1,2)),flip(a)]. 103.78/104.15 13560 rd(mult(A,ld(ld(B,unit),C)),B) = mult(mult(A,B),rd(C,B)). [para(1770(a,1),206(a,1,1,2)),rewrite([11(9)])]. 103.78/104.15 13636 mult(rd(A,mult(b,c)),b) = mult(rd(A,b),ld(c,b)). [para(12174(a,1),206(a,2,2)),rewrite([706(7),12334(5),5981(6),1010(8),23(7),706(10)])]. 103.78/104.15 13652 mult(rd(A,mult(b,mult(b,c))),b) = rd(rd(A,b),c). [para(12252(a,1),206(a,2,2)),rewrite([706(9),12484(7),10707(8),1010(10),23(9),706(12),706(14)])]. 103.78/104.15 13726 mult(ld(ld(A,unit),B),ld(ld(A,unit),B)) = mult(mult(A,mult(mult(B,A),rd(B,A))),A). [para(263(a,1),1770(a,2)),rewrite([13560(5)]),flip(a)]. 103.78/104.15 13809 ld(rd(A,B),mult(C,B)) = mult(mult(B,ld(A,C)),B). [para(14(a,1),267(a,1,2,1))]. 103.78/104.15 13927 rd(mult(A,B),mult(mult(B,C),B)) = rd(rd(A,C),B). [para(13(a,1),268(a,1,1,1))]. 103.78/104.15 13955 rd(A,mult(mult(A,B),A)) = rd(ld(B,unit),A). [para(749(a,1),268(a,1,1,1)),rewrite([10(2)])]. 103.78/104.15 14073 rd(rd(A,B),mult(A,rd(A,B))) = rd(ld(B,unit),rd(A,B)). [para(13(a,1),13955(a,1,2,1))]. 103.78/104.15 14074 rd(ld(A,B),B) = rd(B,mult(A,B)). [para(14(a,1),13955(a,1,2,1)),rewrite([884(5)]),flip(a)]. 103.78/104.15 14083 rd(A,mult(rd(A,B),A)) = rd(B,A). [para(26(a,1),13955(a,2,1)),rewrite([750(2),706(3)])]. 103.78/104.15 14091 rd(mult(ld(A,B),ld(A,B)),B) = rd(B,mult(rd(A,B),mult(A,B))). [para(111(a,1),13955(a,1,2,1)),rewrite([270(3),773(9),884(8),1011(7)]),flip(a)]. 103.78/104.15 14111 mult(ld(mult(A,B),unit),B) = mult(ld(B,unit),ld(A,B)). [para(1349(a,1),13955(a,1,2,1)),rewrite([706(7),12(5),1010(4),1010(10),23(9)]),flip(a)]. 103.78/104.15 14239 rd(mult(A,B),mult(A,mult(A,B))) = rd(B,mult(A,B)). [para(11(a,1),14074(a,1,1)),flip(a)]. 103.78/104.15 14240 mult(rd(A,mult(B,A)),A) = ld(B,A). [para(14074(a,1),13(a,1,1))]. 103.78/104.15 14241 mult(ld(A,ld(A,B)),ld(B,A)) = rd(B,mult(A,B)). [para(14(a,1),14074(a,2,2)),rewrite([1010(4),14074(6)])]. 103.78/104.15 14249 mult(rd(A,mult(B,A)),mult(A,A)) = mult(ld(B,A),A). [para(14074(a,1),110(a,1,1))]. 103.78/104.15 14252 mult(rd(A,mult(B,A)),mult(mult(A,C),A)) = mult(mult(ld(B,A),C),A). [para(14074(a,1),31(a,1,1))]. 103.78/104.15 14257 rd(rd(A,mult(B,A)),A) = rd(ld(B,A),mult(A,A)). [para(14074(a,1),240(a,1,1))]. 103.78/104.15 14261 rd(ld(A,unit),rd(B,A)) = mult(ld(B,ld(A,unit)),A). [para(706(a,1),14074(a,2,2)),rewrite([1010(6),23(5)]),flip(a)]. 103.78/104.15 14262 ld(ld(A,B),rd(B,mult(A,B))) = ld(B,unit). [para(14074(a,1),755(a,1,2))]. 103.78/104.15 14269 rd(ld(A,B),mult(C,ld(A,B))) = mult(ld(C,ld(A,B)),ld(B,A)). [para(14074(a,1),1010(a,1))]. 103.78/104.15 14282 ld(mult(A,rd(A,mult(B,A))),ld(ld(A,unit),ld(B,A))) = A. [para(14074(a,1),2431(a,1,1,2))]. 103.78/104.15 14285 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(2499(a,1),14074(a,1,1)),flip(a)]. 103.78/104.15 14341 rd(rd(A,B),mult(A,rd(A,B))) = mult(ld(A,ld(B,unit)),B). [back_rewrite(14073),rewrite([14261(8)])]. 103.78/104.15 14347 ld(rd(A,B),B) = mult(rd(B,A),B). [para(14083(a,1),26(a,1,1))]. 103.78/104.15 14374 mult(rd(A,mult(B,A)),ld(B,A)) = ld(B,ld(B,A)). [para(14(a,1),14240(a,1,1,2)),rewrite([14074(2)])]. 103.78/104.15 14480 rd(mult(A,ld(B,C)),C) = rd(mult(A,C),mult(B,C)). [para(14240(a,1),206(a,1,1,2)),rewrite([755(7),706(8)])]. 103.78/104.15 14658 rd(mult(ld(A,B),B),mult(A,B)) = rd(B,mult(rd(A,B),mult(A,B))). [back_rewrite(14091),rewrite([14480(4)])]. 103.78/104.15 14915 mult(ld(A,B),ld(B,ld(B,A))) = mult(ld(A,unit),ld(B,A)). [para(14262(a,1),1349(a,2,1)),rewrite([884(3),14374(5)])]. 103.78/104.15 15281 mult(rd(A,mult(B,C)),C) = mult(rd(A,C),ld(B,C)). [para(14240(a,1),270(a,2,2)),rewrite([755(3),706(4)])]. 103.78/104.15 15470 rd(ld(A,mult(B,C)),C) = mult(C,ld(mult(A,C),B)). [para(368(a,1),12(a,1,1))]. 103.78/104.15 15509 ld(A,rd(ld(rd(B,A),C),A)) = ld(B,rd(C,A)). [para(368(a,1),706(a,1)),rewrite([706(3),706(7),1777(8)]),flip(a)]. 103.78/104.15 15544 ld(ld(c,b),mult(A,c)) = mult(mult(c,ld(b,A)),c). [para(5526(a,1),368(a,1,1,2,1)),flip(a)]. 103.78/104.15 15696 ld(mult(A,ld(B,rd(C,B))),mult(rd(A,B),C)) = B. [para(13(a,1),558(a,1,2,2))]. 103.78/104.15 15800 ld(rd(A,mult(b,mult(c,c))),rd(rd(A,c),b)) = c. [para(12128(a,1),558(a,1,2,2)),rewrite([11984(7),11987(8),706(12)])]. 103.78/104.15 16214 ld(rd(A,mult(B,mult(B,B))),rd(A,B)) = mult(B,B). [para(239(a,1),1014(a,2,1)),rewrite([852(6),706(5),2239(3),239(9)])]. 103.78/104.15 16322 mult(ld(ld(A,B),A),B) = mult(ld(B,A),mult(A,B)). [para(1771(a,1),15(a,1,1)),rewrite([14(6)])]. 103.78/104.15 16462 ld(mult(rd(A,B),C),mult(A,ld(B,rd(C,B)))) = ld(B,unit). [para(1821(a,1),755(a,1,2))]. 103.78/104.15 16727 ld(ld(ld(A,unit),ld(B,A)),mult(A,rd(A,mult(B,A)))) = ld(A,unit). [para(14074(a,1),2470(a,1,2,2))]. 103.78/104.15 17010 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(4607(a,1),14074(a,1,1)),flip(a)]. 103.78/104.15 18766 rd(mult(A,ld(c,b)),mult(rd(mult(A,b),mult(b,c)),mult(A,ld(c,b)))) = rd(b,mult(A,ld(c,b))). [para(9325(a,1),14074(a,1,1)),flip(a)]. 103.78/104.15 20704 rd(mult(mult(A,b),c),mult(b,c)) = mult(rd(mult(A,c),b),ld(c,b)). [para(3198(a,1),13652(a,2,1)),rewrite([12243(10),13636(8),14480(16)]),flip(a)]. 103.78/104.15 20762 ld(mult(A,B),rd(C,B)) = ld(B,rd(ld(A,C),B)). [para(706(a,1),13809(a,1,2)),rewrite([1010(3),23(2),706(10),1777(8)])]. 103.78/104.15 20763 mult(mult(ld(A,B),ld(C,ld(B,A))),ld(A,B)) = ld(mult(C,ld(B,A)),unit). [para(1005(a,1),13809(a,1,2)),rewrite([1010(2)]),flip(a)]. 103.78/104.15 20779 mult(mult(c,ld(A,ld(c,b))),c) = ld(rd(A,c),b). [para(5526(a,1),13809(a,1,2)),flip(a)]. 103.78/104.15 20798 mult(mult(b,ld(A,ld(c,unit))),b) = ld(rd(A,b),ld(c,b)). [para(9302(a,1),13809(a,1,2)),flip(a)]. 103.78/104.15 21714 mult(A,mult(rd(B,mult(A,mult(A,B))),B)) = ld(A,B). [para(14239(a,1),844(a,1,1)),rewrite([15281(3),25(1),10(3)]),flip(a)]. 103.78/104.15 22952 mult(ld(A,rd(mult(B,A),mult(C,A))),A) = mult(ld(A,unit),mult(B,ld(C,A))). [para(14480(a,1),2118(a,1,1,2))]. 103.78/104.15 23056 rd(ld(A,ld(A,B)),B) = rd(ld(A,B),mult(A,B)). [para(14374(a,1),14480(a,1,1)),rewrite([15281(6),25(4),10(6)])]. 103.78/104.15 24634 rd(ld(rd(A,B),C),B) = mult(B,ld(A,rd(C,B))). [para(15509(a,1),14(a,1,2)),flip(a)]. 103.78/104.15 24988 ld(rd(rd(c,mult(A,c)),mult(b,mult(c,c))),rd(rd(ld(A,c),mult(c,c)),b)) = c. [para(14257(a,1),15800(a,1,2,1))]. 103.78/104.15 27121 ld(mult(A,B),rd(mult(C,B),mult(D,B))) = ld(B,rd(ld(A,mult(C,ld(D,B))),B)). [para(14480(a,1),20762(a,1,2))]. 103.78/104.15 27305 mult(ld(c,unit),ld(ld(c,b),A)) = mult(ld(b,rd(A,c)),c). [para(20779(a,1),14111(a,1,1,1)),rewrite([884(6),756(17),884(15)]),flip(a)]. 103.78/104.15 27335 mult(rd(A,mult(B,mult(B,A))),A) = ld(B,ld(B,A)). [para(21714(a,1),11(a,1,2)),flip(a)]. 103.78/104.15 27379 ld(mult(A,ld(B,rd(C,A))),ld(rd(B,A),C)) = A. [para(21714(a,1),15696(a,1,2)),rewrite([27335(6),24634(5),24634(3),11(6),14(5)])]. 103.78/104.15 27698 rd(ld(A,B),mult(A,B)) = rd(B,mult(A,mult(A,B))). [para(11(a,1),23056(a,1,1,2)),rewrite([11(5)])]. 103.78/104.15 27807 rd(ld(A,ld(A,B)),B) = rd(B,mult(A,mult(A,B))). [back_rewrite(23056),rewrite([27698(6)])]. 103.78/104.15 27942 rd(ld(rd(A,mult(B,A)),C),A) = mult(A,ld(ld(B,A),rd(C,A))). [para(14074(a,1),24634(a,1,1,1))]. 103.78/104.15 28787 ld(mult(A,ld(rd(A,mult(B,A)),rd(C,A))),ld(rd(ld(B,A),mult(A,A)),C)) = A. [para(14257(a,1),27379(a,1,2,1))]. 103.78/104.15 28911 mult(rd(A,mult(B,mult(B,A))),mult(mult(B,A),mult(B,A))) = mult(ld(B,A),mult(B,A)). [para(27698(a,1),110(a,1,1))]. 103.78/104.15 29028 rd(mult(A,B),A) = B | mult(ld(A,unit),B) = ld(A,B). [para(9637(b,1),11(a,1,2)),flip(b)]. 103.78/104.15 29090 rd(mult(A,B),A) = B | rd(B,mult(A,B)) = ld(A,unit). [para(29028(b,1),12(a,1,1)),rewrite([14074(5)])]. 103.78/104.15 29506 rd(A,mult(B,A)) = ld(B,unit) | mult(A,B) = mult(B,A). [para(29090(a,1),13(a,1,1))]. 103.78/104.15 30163 ld(rd(A,B),unit) = rd(B,A) | mult(B,rd(A,B)) = A. [para(13(a,1),29506(a,1,2)),rewrite([13(9)]),flip(a)]. 103.78/104.15 30164 rd(A,mult(B,A)) = ld(B,unit) | mult(ld(B,A),B) = A. [para(14(a,1),29506(a,1,2)),rewrite([14074(2),14(9)])]. 103.78/104.15 31152 rd(A,mult(ld(B,unit),A)) = B | mult(B,rd(A,B)) = A. [para(26(a,1),30164(a,2)),rewrite([750(2),750(7),750(10),706(11),2131(9)])]. 103.78/104.15 33038 rd(A,mult(ld(B,unit),A)) = B | rd(A,rd(A,B)) = B. [para(31152(b,1),12(a,1,1))]. 103.78/104.15 34258 rd(A,mult(B,A)) = ld(B,unit) | rd(A,mult(A,B)) = ld(B,unit). [para(26(a,1),33038(a,1,2,1)),rewrite([750(4),750(7),1010(8),23(7),750(9)])]. 103.78/104.15 37168 mult(ld(A,ld(A,unit)),ld(ld(A,unit),B)) = mult(mult(ld(A,unit),rd(B,A)),A). [para(736(a,1),2453(a,1,1))]. 103.78/104.15 38240 rd(ld(A,unit),rd(A,mult(B,A))) = mult(ld(ld(B,A),ld(A,unit)),A). [para(14282(a,1),14915(a,1,2,2)),rewrite([16727(8),756(6),706(7),884(11),14282(17)])]. 103.78/104.15 38616 ld(mult(ld(A,B),B),rd(B,mult(rd(A,B),mult(A,B)))) = ld(mult(A,B),unit). [para(14249(a,1),16462(a,1,1)),rewrite([27121(7),263(5),14480(6),14658(6),755(7),706(8)])]. 103.78/104.15 38849 ld(mult(b,ld(A,ld(c,unit))),ld(rd(A,b),ld(c,b))) = b. [para(20798(a,1),11(a,1,2))]. 103.78/104.15 39941 ld(ld(rd(A,b),ld(c,b)),mult(b,ld(A,ld(c,unit)))) = ld(b,unit). [para(38849(a,1),884(a,1,1)),flip(a)]. 103.78/104.15 39946 mult(b,ld(ld(c,b),rd(A,b))) = rd(ld(ld(c,unit),A),b). [para(38849(a,1),14241(a,1,1,2)),rewrite([756(8),884(6),39941(17),706(8),14269(26),38849(19)]),flip(a)]. 103.78/104.15 40040 mult(b,ld(ld(c,b),rd(b,mult(A,b)))) = rd(ld(ld(c,unit),ld(A,b)),b). [para(14074(a,1),39946(a,1,2,2))]. 103.78/104.15 48917 ld(rd(A,B),unit) = rd(B,A). [para(30163(b,1),34258(b,1,2)),rewrite([13(7)]),flip(b),flip(c),merge(b),merge(c)]. 103.78/104.15 48918 rd(A,mult(B,A)) = ld(B,unit). [para(30164(b,1),34258(b,1,2)),rewrite([14(8),14074(7),14074(12)]),merge(b),merge(c)]. 103.78/104.15 49009 rd(ld(ld(c,unit),ld(A,b)),b) = mult(b,ld(ld(c,b),ld(A,unit))). [back_rewrite(40040),rewrite([48918(8)]),flip(a)]. 103.78/104.15 49019 mult(ld(ld(A,B),ld(B,unit)),B) = mult(ld(B,unit),A). [back_rewrite(38240),rewrite([48918(4),1010(5),23(4)]),flip(a)]. 103.78/104.15 49035 ld(mult(A,ld(ld(B,unit),rd(C,A))),ld(rd(ld(B,A),mult(A,A)),C)) = A. [back_rewrite(28787),rewrite([48918(2)])]. 103.78/104.15 49044 mult(A,ld(ld(B,A),rd(C,A))) = rd(ld(ld(B,unit),C),A). [back_rewrite(27942),rewrite([48918(2)]),flip(a)]. 103.78/104.15 49053 ld(rd(ld(A,unit),mult(b,mult(c,c))),rd(rd(ld(A,c),mult(c,c)),b)) = c. [back_rewrite(24988),rewrite([48918(4)])]. 103.78/104.15 49092 rd(mult(b,c),mult(A,b)) = rd(b,mult(A,ld(c,b))). [back_rewrite(18766),rewrite([48918(16),48917(8)])]. 103.78/104.15 49094 rd(A,rd(ld(A,unit),B)) = mult(mult(A,B),A). [back_rewrite(17010),rewrite([48918(12),884(6),14347(4),1010(3),23(2)]),flip(a)]. 103.78/104.15 49118 mult(ld(A,ld(B,unit)),B) = ld(A,unit). [back_rewrite(14341),rewrite([48918(4)]),flip(a)]. 103.78/104.15 49119 rd(A,mult(ld(A,unit),B)) = mult(rd(A,B),A). [back_rewrite(14285),rewrite([48918(10),884(4),14347(2)]),flip(a)]. 103.78/104.15 49123 mult(ld(A,ld(B,C)),ld(C,B)) = ld(A,unit). [back_rewrite(14269),rewrite([48918(4)]),flip(a)]. 103.78/104.15 49126 rd(ld(A,B),mult(B,B)) = rd(ld(A,unit),B). [back_rewrite(14257),rewrite([48918(2)]),flip(a)]. 103.78/104.15 49127 mult(ld(A,unit),mult(mult(B,C),B)) = mult(mult(ld(A,B),C),B). [back_rewrite(14252),rewrite([48918(2)])]. 103.78/104.15 49135 rd(ld(A,B),B) = ld(A,unit). [back_rewrite(14074),rewrite([48918(4)])]. 103.78/104.15 49136 rd(ld(A,unit),B) = ld(mult(B,A),unit). [back_rewrite(13955),rewrite([48918(3)]),flip(a)]. 103.78/104.15 49165 mult(ld(A,unit),B) = ld(A,B). [back_rewrite(49019),rewrite([49118(5),884(3)]),flip(a)]. 103.78/104.15 49194 ld(ld(mult(mult(b,mult(c,c)),A),unit),ld(mult(b,mult(c,A)),unit)) = c. [back_rewrite(49053),rewrite([49136(8),49126(14),49136(12),49136(14)])]. 103.78/104.15 49199 ld(mult(A,ld(ld(B,unit),rd(C,A))),ld(ld(mult(A,B),unit),C)) = A. [back_rewrite(49035),rewrite([49126(8),49136(8)])]. 103.78/104.15 49256 mult(mult(A,B),A) = mult(A,mult(B,A)). [back_rewrite(49094),rewrite([49136(3),1010(4),23(3)]),flip(a)]. 103.78/104.15 49345 ld(A,mult(B,mult(C,B))) = mult(mult(ld(A,B),C),B). [back_rewrite(49127),rewrite([49256(4),49165(5)])]. 103.78/104.15 49346 mult(rd(A,B),A) = mult(A,ld(B,A)). [back_rewrite(49119),rewrite([49165(3),1010(2)]),flip(a)]. 103.78/104.15 49427 mult(ld(A,ld(A,unit)),ld(ld(A,unit),B)) = ld(A,B). [back_rewrite(37168),rewrite([49165(11),2118(10),49165(10)])]. 103.78/104.15 49491 ld(c,ld(ld(c,b),A)) = mult(ld(b,rd(A,c)),c). [back_rewrite(27305),rewrite([49165(8)])]. 103.78/104.15 49520 mult(ld(A,rd(mult(B,A),mult(C,A))),A) = ld(A,mult(B,ld(C,A))). [back_rewrite(22952),rewrite([49165(10)])]. 103.78/104.15 49583 ld(mult(A,B),B) = ld(B,ld(A,B)). [back_rewrite(14111),rewrite([49165(4),49165(6)])]. 103.78/104.15 49672 rd(ld(A,B),A) = ld(A,rd(B,A)). [back_rewrite(1777),rewrite([49165(3)])]. 103.78/104.15 49674 ld(A,mult(B,A)) = mult(ld(A,B),A). [back_rewrite(1349),rewrite([49165(4)])]. 103.78/104.15 49986 ld(mult(A,ld(B,C)),unit) = rd(ld(C,B),A). [back_rewrite(20763),rewrite([49256(6),49123(5),706(4)]),flip(a)]. 103.78/104.15 50096 ld(ld(c,b),mult(A,c)) = mult(c,mult(ld(b,A),c)). [back_rewrite(15544),rewrite([49256(12)])]. 103.78/104.15 50140 rd(mult(A,B),mult(B,mult(C,B))) = rd(rd(A,C),B). [back_rewrite(13927),rewrite([49256(3)])]. 103.78/104.15 50164 mult(ld(ld(A,unit),B),ld(ld(A,unit),B)) = mult(A,mult(B,mult(A,B))). [back_rewrite(13726),rewrite([49256(12),15(11),49256(10),13(9)])]. 103.78/104.15 50250 ld(ld(A,B),A) = mult(ld(B,A),A). [back_rewrite(1771),rewrite([49256(4),14(3)]),flip(a)]. 103.78/104.15 50251 ld(ld(A,unit),B) = mult(A,B). [back_rewrite(1770),rewrite([49256(3),13(2)]),flip(a)]. 103.78/104.15 50622 mult(rd(mult(A,B),C),B) = mult(A,mult(B,ld(C,B))). [back_rewrite(844),rewrite([49346(5)])]. 103.78/104.15 50987 mult(mult(ld(A,B),B),A) = mult(ld(A,B),mult(B,A)). [back_rewrite(16322),rewrite([50250(2)])]. 103.78/104.15 51003 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [back_rewrite(50164),rewrite([50251(3),50251(4)])]. 103.78/104.15 51042 mult(ld(A,ld(A,unit)),mult(A,B)) = ld(A,B). [back_rewrite(49427),rewrite([50251(6)])]. 103.78/104.15 51064 ld(mult(A,mult(B,rd(C,A))),mult(mult(A,B),C)) = A. [back_rewrite(49199),rewrite([50251(4),50251(7)])]. 103.78/104.15 51067 rd(mult(mult(b,mult(c,c)),A),mult(b,mult(c,A))) = c. [back_rewrite(49194),rewrite([50251(15),706(13)])]. 103.78/104.15 51073 mult(A,ld(ld(B,A),rd(C,A))) = rd(mult(B,C),A). [back_rewrite(49044),rewrite([50251(7)])]. 103.78/104.15 51079 mult(b,ld(ld(c,b),ld(A,unit))) = rd(b,mult(A,ld(c,b))). [back_rewrite(49009),rewrite([50251(6),14480(6),125(3),49092(6)]),flip(a)]. 103.78/104.15 51194 rd(mult(A,mult(B,C)),B) = mult(mult(A,B),rd(C,B)). [back_rewrite(13560),rewrite([50251(3)])]. 103.78/104.15 51208 mult(mult(A,rd(B,C)),C) = mult(rd(A,C),mult(C,B)). [back_rewrite(2453),rewrite([50251(4)]),flip(a)]. 103.78/104.15 51214 mult(mult(A,B),mult(ld(B,A),B)) = mult(A,mult(A,B)). [back_rewrite(2177),rewrite([50251(6)])]. 103.78/104.15 51215 rd(mult(A,B),A) = mult(A,rd(B,A)). [back_rewrite(2131),rewrite([50251(3)])]. 103.78/104.15 51294 mult(rd(A,mult(B,mult(B,A))),mult(B,mult(A,mult(B,A)))) = mult(ld(B,A),mult(B,A)). [back_rewrite(28911),rewrite([51003(6)])]. 103.78/104.15 51476 rd(A,rd(B,C)) = mult(A,rd(C,B)). [para(48917(a,1),706(a,1,2)),flip(a)]. 103.78/104.15 51491 rd(mult(A,B),mult(C,B)) = rd(B,mult(C,ld(A,B))). [para(14480(a,1),48917(a,1,1)),rewrite([48917(5)])]. 103.78/104.15 51494 ld(mult(A,mult(ld(A,B),B)),unit) = rd(A,mult(B,mult(B,A))). [para(27807(a,1),48917(a,2)),rewrite([1010(3),50250(2)])]. 103.78/104.15 51704 ld(A,mult(B,ld(C,A))) = mult(rd(ld(A,B),C),A). [back_rewrite(49520),rewrite([51491(3),755(4),49986(4)]),flip(a)]. 103.78/104.15 51720 ld(mult(A,B),rd(B,mult(C,ld(D,B)))) = ld(B,rd(ld(A,mult(D,ld(C,B))),B)). [back_rewrite(27121),rewrite([51491(4)])]. 103.78/104.15 51742 rd(c,mult(b,ld(mult(A,b),c))) = mult(rd(mult(A,c),b),ld(c,b)). [back_rewrite(20704),rewrite([51491(8)])]. 103.78/104.15 51751 rd(A,mult(rd(B,A),mult(B,A))) = rd(A,mult(B,ld(ld(B,A),A))). [back_rewrite(14658),rewrite([51491(4)]),flip(a)]. 103.78/104.15 51753 rd(mult(A,ld(B,C)),C) = rd(C,mult(B,ld(A,C))). [back_rewrite(14480),rewrite([51491(6)])]. 103.78/104.15 51795 ld(mult(A,B),unit) = ld(B,ld(A,unit)). [back_rewrite(38616),rewrite([51751(6),51720(7),11(5),49135(2)]),flip(a)]. 103.78/104.15 51822 ld(mult(ld(A,B),B),ld(A,unit)) = rd(A,mult(B,mult(B,A))). [back_rewrite(51494),rewrite([51795(5)])]. 103.78/104.15 51860 ld(ld(A,B),ld(C,unit)) = rd(ld(B,A),C). [back_rewrite(49986),rewrite([51795(4)])]. 103.78/104.15 51902 rd(ld(A,unit),B) = ld(A,ld(B,unit)). [back_rewrite(49136),rewrite([51795(6)])]. 103.78/104.15 51944 rd(b,mult(A,ld(c,b))) = mult(b,rd(ld(b,c),A)). [back_rewrite(51079),rewrite([51860(7)]),flip(a)]. 103.78/104.15 51955 rd(mult(b,c),mult(A,b)) = mult(b,rd(ld(b,c),A)). [back_rewrite(49092),rewrite([51944(12)])]. 103.78/104.15 52041 rd(A,mult(rd(B,A),ld(C,A))) = rd(mult(C,A),B). [para(15281(a,1),48918(a,1,2)),rewrite([48917(8)])]. 103.78/104.15 52250 mult(mult(A,B),ld(B,ld(C,unit))) = rd(B,mult(C,ld(A,B))). [para(49135(a,1),13506(a,1,2,2)),rewrite([51753(8)])]. 103.78/104.15 52271 mult(A,mult(ld(A,B),B)) = mult(B,B). [para(49135(a,1),16214(a,1,1)),rewrite([49345(5),28(5),51194(6),25(5),9(6),50251(5)])]. 103.78/104.15 52319 rd(A,mult(B,mult(B,A))) = ld(B,ld(B,unit)). [para(49135(a,1),13368(a,1,2)),rewrite([49345(3),28(3),51194(4),25(3),9(4),51822(5)])]. 103.78/104.15 52495 mult(mult(ld(A,B),A),B) = mult(ld(A,B),mult(A,B)). [back_rewrite(51294),rewrite([52319(3),51042(7),49345(3)])]. 103.78/104.15 53936 ld(ld(A,B),C) = mult(ld(B,A),C). [para(884(a,1),49165(a,1,1)),flip(a)]. 103.78/104.15 53956 mult(ld(A,B),ld(B,C)) = mult(B,ld(mult(A,B),C)). [para(49165(a,1),206(a,1,1)),rewrite([15470(3),49165(6)]),flip(a)]. 103.78/104.15 54043 mult(mult(A,B),ld(B,C)) = mult(B,mult(ld(B,A),C)). [para(49165(a,1),15470(a,2,2,1)),rewrite([53936(4),23(2),206(3),53936(5)])]. 103.78/104.15 54387 ld(rd(A,B),C) = mult(rd(B,A),C). [para(48917(a,1),49165(a,1,1)),flip(a)]. 103.78/104.15 54499 mult(A,mult(ld(A,B),rd(C,A))) = rd(mult(B,C),A). [back_rewrite(51073),rewrite([53936(3)])]. 103.78/104.15 54554 mult(ld(b,c),mult(A,c)) = mult(c,mult(ld(b,A),c)). [back_rewrite(50096),rewrite([53936(6)])]. 103.78/104.15 54598 ld(c,mult(ld(b,c),A)) = mult(ld(b,rd(A,c)),c). [back_rewrite(49491),rewrite([53936(5)])]. 103.78/104.15 54832 rd(A,mult(B,ld(C,A))) = mult(A,rd(ld(A,C),B)). [back_rewrite(52250),rewrite([54043(5),706(4)]),flip(a)]. 103.78/104.15 54970 mult(b,mult(ld(b,A),ld(b,c))) = rd(mult(A,c),b). [back_rewrite(5077),rewrite([54043(8)])]. 103.78/104.15 54991 rd(mult(A,mult(B,C)),C) = mult(C,mult(ld(C,A),B)). [back_rewrite(206),rewrite([54043(6)])]. 103.78/104.15 55651 mult(A,mult(ld(A,B),rd(A,C))) = rd(mult(B,A),C). [back_rewrite(52041),rewrite([54832(4),51476(3)])]. 103.78/104.15 55655 rd(mult(A,ld(B,C)),C) = mult(C,rd(ld(C,A),B)). [back_rewrite(51753),rewrite([54832(6)])]. 103.78/104.15 55662 mult(rd(mult(A,c),b),ld(c,b)) = mult(c,mult(b,ld(mult(b,c),A))). [back_rewrite(51742),rewrite([54832(8),15470(7),125(5)]),flip(a)]. 103.78/104.15 55682 rd(mult(A,B),mult(C,B)) = mult(B,rd(ld(B,A),C)). [back_rewrite(51491),rewrite([54832(6)])]. 103.78/104.15 56096 ld(mult(A,mult(B,A)),mult(A,B)) = ld(A,unit). [para(49256(a,1),756(a,1,1))]. 103.78/104.15 56507 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(49346(a,1),270(a,2)),rewrite([54043(3),52271(3),49674(5),51214(6)])]. 103.78/104.15 57713 mult(ld(A,ld(B,unit)),C) = ld(mult(B,A),C). [para(51795(a,1),49165(a,1,1))]. 103.78/104.15 58017 mult(ld(A,ld(B,ld(C,unit))),B) = ld(mult(B,A),ld(C,B)). [para(51902(a,1),15281(a,1,1)),rewrite([51795(3),51902(8),57713(10)])]. 103.78/104.15 58403 ld(mult(A,ld(B,C)),D) = mult(rd(ld(C,B),A),D). [para(1010(a,1),54387(a,1,1))]. 103.78/104.15 58429 ld(mult(rd(A,B),C),D) = mult(ld(C,rd(B,A)),D). [para(54387(a,1),53936(a,1,1))]. 103.78/104.15 59716 mult(mult(A,mult(B,A)),ld(A,C)) = mult(mult(A,B),C) | rd(C,A) = ld(A,C). [para(56096(a,1),1451(a,1,2,1)),rewrite([49165(5),56096(11),49165(10),56096(12),706(11)]),flip(b)]. 103.78/104.15 59950 mult(ld(A,ld(B,ld(C,unit))),D) = ld(mult(mult(C,B),A),D). [para(51795(a,1),57713(a,1,1,2))]. 103.78/104.15 59960 ld(mult(mult(A,B),C),B) = ld(mult(B,C),ld(A,B)). [back_rewrite(58017),rewrite([59950(5)])]. 103.78/104.15 60813 rd(mult(A,b),mult(b,c)) = mult(b,rd(ld(b,A),c)). [para(3228(a,1),50140(a,1,2,2)),rewrite([1010(10),55655(12)])]. 103.78/104.15 61254 mult(mult(A,rd(B,A)),B) = mult(A,mult(B,ld(A,B))). [para(51215(a,1),50622(a,1,1))]. 103.78/104.15 61904 mult(A,mult(ld(A,rd(B,A)),C)) = mult(B,ld(A,C)). [para(12(a,1),2144(a,2)),rewrite([25(4),706(6),54991(4)])]. 103.78/104.15 61953 mult(A,mult(rd(B,A),mult(A,C))) = mult(mult(A,B),C). [para(51064(a,1),14(a,1,2)),rewrite([49256(4),51208(3)])]. 103.78/104.15 62118 mult(mult(b,mult(c,c)),A) = mult(c,mult(b,mult(c,A))). [para(51067(a,1),13(a,1,1)),flip(a)]. 103.78/104.15 62333 ld(mult(A,B),mult(A,C)) = mult(ld(B,rd(C,A)),A). [para(49165(a,1),51208(a,1,1)),rewrite([51902(6),57713(8)]),flip(a)]. 103.78/104.15 63057 mult(mult(b,c),ld(b,A)) = mult(b,mult(ld(b,c),A)). [para(49165(a,1),51955(a,1,2)),rewrite([1010(6),1010(13),23(12)])]. 103.78/104.15 63468 mult(mult(A,ld(B,A)),ld(A,C)) = mult(A,ld(B,C)). [para(13(a,1),53956(a,2,2,1)),rewrite([54387(2),49346(2)])]. 103.78/104.15 63493 mult(c,mult(ld(c,ld(c,b)),A)) = mult(b,ld(c,A)). [para(9185(a,1),53956(a,2,2,1)),rewrite([53936(5),5526(5),58403(11),49672(10),5890(9)]),flip(a)]. 103.78/104.15 63799 mult(mult(A,mult(B,A)),ld(A,C)) = mult(A,mult(B,C)). [para(11(a,1),54043(a,2,2,1)),rewrite([49256(2)])]. 103.78/104.15 63806 ld(A,mult(mult(A,B),C)) = mult(rd(B,A),mult(A,C)). [para(706(a,1),54043(a,1,1)),rewrite([53936(4),23(3),53936(8),23(7),49165(8)]),flip(a)]. 103.78/104.15 63816 mult(c,mult(b,mult(c,ld(mult(b,c),A)))) = mult(b,mult(ld(b,c),A)). [para(7405(a,1),54043(a,1,1)),rewrite([62118(10),49583(18),3278(18),49165(17),63057(16)])]. 103.78/104.15 63875 mult(mult(A,B),C) = mult(A,mult(B,C)) | rd(C,A) = ld(A,C). [back_rewrite(59716),rewrite([63799(4)]),flip(a)]. 103.78/104.15 64331 rd(mult(mult(A,B),C),A) = mult(A,mult(B,rd(C,A))). [para(11(a,1),54499(a,1,2,1)),flip(a)]. 103.78/104.15 64332 mult(rd(A,B),ld(C,A)) = mult(A,ld(mult(C,B),A)). [para(54499(a,1),756(a,1,1)),rewrite([54387(3),49346(3),51795(8),53936(7),9(7),54387(6)]),flip(a)]. 103.78/104.15 64557 mult(ld(b,c),ld(A,c)) = mult(c,ld(mult(A,b),c)). [para(49165(a,1),54554(a,1,2)),rewrite([57713(13)])]. 103.78/104.15 64795 mult(ld(b,c),mult(b,ld(c,A))) = mult(c,mult(b,ld(mult(b,c),A))). [para(54970(a,1),54991(a,1,1)),rewrite([1010(8),55662(8),53936(16),7785(16),63468(19)]),flip(a)]. 103.78/104.15 66327 mult(mult(A,B),ld(A,C)) = mult(A,mult(rd(B,A),C)). [para(51215(a,1),61904(a,1,2,1,2)),rewrite([11(3)]),flip(a)]. 103.78/104.15 66600 ld(mult(A,B),mult(mult(A,C),D)) = mult(ld(B,mult(C,rd(D,A))),A). [para(61953(a,1),62333(a,1,2)),rewrite([51194(8),13(6)])]. 103.78/104.15 66897 mult(c,mult(b,ld(mult(b,c),A))) = mult(b,mult(ld(b,rd(A,c)),c)). [para(53956(a,1),63493(a,1,2)),rewrite([14(9),53956(7),125(5),53936(14),54598(15)])]. 103.78/104.15 66903 mult(ld(b,c),mult(b,ld(c,A))) = mult(b,mult(ld(b,rd(A,c)),c)). [back_rewrite(64795),rewrite([66897(16)])]. 103.78/104.15 70831 rd(c,a) = ld(a,c). [resolve(63875,a,21,a)]. 103.78/104.15 70835 rd(b,a) = ld(a,b). [para(63875(a,1),107(a,1)),rewrite([125(11)]),xx(b)]. 103.78/104.15 70846 mult(ld(a,c),a) = c. [para(70831(a,1),13(a,1,1))]. 103.78/104.15 70849 ld(c,ld(a,c)) = ld(a,unit). [para(70831(a,1),755(a,1,2))]. 103.78/104.15 70922 mult(ld(a,c),ld(A,c)) = mult(c,ld(mult(A,a),c)). [para(70831(a,1),64332(a,1,1))]. 103.78/104.15 71037 mult(ld(a,b),a) = b. [para(70835(a,1),13(a,1,1))]. 103.78/104.15 71048 mult(ld(a,b),b) = mult(b,ld(a,b)). [para(70835(a,1),49346(a,1,1))]. 103.78/104.15 71074 mult(b,mult(ld(b,A),ld(a,b))) = rd(mult(A,b),a). [para(70835(a,1),55651(a,1,2,2))]. 103.78/104.15 71097 mult(a,mult(b,ld(a,b))) = mult(b,b). [para(70835(a,1),61254(a,1,1,2)),rewrite([14(5)]),flip(a)]. 103.78/104.15 71230 rd(a,c) = ld(c,a). [para(70846(a,1),48918(a,1,2)),rewrite([53936(8),9(8)])]. 103.78/104.15 71231 mult(c,a) = mult(a,c). [para(70846(a,1),49256(a,2,2)),rewrite([14(5)])]. 103.78/104.15 71322 rd(a,b) = ld(b,a). [para(71037(a,1),48918(a,1,2)),rewrite([53936(8),9(8)])]. 103.78/104.15 71323 mult(b,a) = mult(a,b). [para(71037(a,1),49256(a,2,2)),rewrite([14(5)])]. 103.78/104.15 71325 ld(a,ld(b,a)) = ld(b,unit). [para(71037(a,1),51795(a,1,1)),rewrite([53936(9),9(9)]),flip(a)]. 103.78/104.15 71336 mult(ld(b,a),mult(a,b)) = mult(a,a). [para(71037(a,1),52495(a,2,2)),rewrite([53936(5),54043(9),71325(6),49165(6),22(4),9(3),53936(8),50987(10)]),flip(a)]. 103.78/104.15 71490 mult(ld(c,a),mult(b,mult(c,c))) = mult(mult(a,b),c). [para(71230(a,1),288(a,1,1))]. 103.78/104.15 71748 mult(ld(b,a),mult(b,mult(b,c))) = mult(mult(a,c),b). [para(71322(a,1),7580(a,1,1))]. 103.78/104.15 71853 rd(mult(mult(a,b),A),b) = mult(b,mult(a,rd(A,b))). [para(71323(a,1),64331(a,1,1,1))]. 103.78/104.15 72464 mult(ld(b,a),mult(b,mult(b,A))) = mult(a,mult(a,mult(ld(a,b),A))). [para(71336(a,1),66327(a,1,1)),rewrite([53936(7),56507(8),1010(18),66327(18),70835(15),71048(17),71097(18),56507(15)]),flip(a)]. 103.78/104.15 72469 mult(a,mult(a,mult(ld(a,b),c))) = mult(mult(a,c),b). [back_rewrite(71748),rewrite([72464(9)])]. 103.78/104.15 74155 mult(mult(a,c),b) = mult(mult(a,b),c). [para(18(a,1),71490(a,2)),rewrite([71490(20)]),flip(b),unit_del(a,21)]. 103.78/104.15 74164 mult(a,mult(a,mult(ld(a,b),c))) = mult(mult(a,b),c). [back_rewrite(72469),rewrite([74155(14)])]. 103.78/104.15 74170 mult(mult(rd(ld(c,b),a),c),a) = b. [para(74155(a,1),11(a,1,2)),rewrite([66600(9),70831(5),51704(7)])]. 103.78/104.15 74171 mult(b,mult(a,ld(b,c))) = mult(a,c). [para(74155(a,1),12(a,1,1)),rewrite([71853(7),3258(5)])]. 103.78/104.15 74228 mult(b,mult(ld(b,ld(c,a)),c)) = mult(b,mult(c,ld(mult(b,c),a))). [para(74155(a,1),60813(a,1,1)),rewrite([55682(9),15470(8),125(5),66897(9),71230(5),15470(17)])]. 103.78/104.15 74239 rd(ld(b,c),a) = ld(mult(a,b),c). [para(74155(a,1),64557(a,2,2,1)),rewrite([49583(8),70849(8),706(7),49583(13),14(14)])]. 103.78/104.15 74268 mult(mult(rd(ld(c,a),b),c),b) = a. [para(74170(a,1),11(a,1,2)),rewrite([58429(9),1010(6),51704(7)])]. 103.78/104.15 74275 mult(ld(b,a),mult(b,c)) = mult(b,mult(ld(b,c),a)). [para(74170(a,1),63806(a,1,2)),rewrite([54387(7),1010(5),270(7),71322(3),125(6),51476(14),1010(13),13(21),66327(18),55655(15),51208(17),3258(11),66903(17),71230(13),74228(17),63816(18)])]. 103.86/104.16 74285 ld(b,mult(a,c)) = mult(a,ld(b,c)). [para(74171(a,1),11(a,1,2))]. 103.86/104.16 74288 mult(b,mult(ld(b,c),a)) = mult(a,c). [para(74171(a,1),43(a,2)),rewrite([71231(21)]),merge(b)]. 103.86/104.16 74289 mult(mult(a,b),c) = mult(b,mult(a,c)). [para(74171(a,1),49256(a,1,1)),rewrite([74155(5),270(13),71322(9),125(12),74275(13),74288(13)])]. 103.86/104.16 74387 mult(a,mult(a,mult(ld(a,b),c))) = mult(b,mult(a,c)). [back_rewrite(74164),rewrite([74289(14)])]. 103.86/104.16 74389 mult(mult(a,c),b) = mult(b,mult(a,c)). [back_rewrite(74155),rewrite([74289(10)])]. 103.86/104.16 74392 mult(b,mult(a,c)) != mult(a,mult(b,c)). [back_rewrite(21),rewrite([74289(5)])]. 103.86/104.16 74484 mult(ld(mult(a,b),c),b) = ld(a,c). [para(74268(a,1),59960(a,1,1)),rewrite([125(6),54387(13),1010(11),66600(14),3258(10),70922(11),71323(8),11(12)]),flip(a)]. 103.86/104.16 74600 mult(a,mult(ld(a,b),c)) = mult(b,c). [para(74285(a,1),71074(a,1,2,1)),rewrite([66327(10),74239(7),74484(9),14(6),74389(8),51194(10),71323(6),70831(9),66327(10),70835(7)]),flip(a)]. 103.86/104.16 74608 $F. [back_rewrite(74387),rewrite([74600(8)]),flip(a),unit_del(a,74392)]. 103.86/104.16 103.86/104.16 % SZS output end Refutation 103.86/104.16 ============================== end of proof ========================== 103.86/104.16 103.86/104.16 ============================== STATISTICS ============================ 103.86/104.16 103.86/104.16 Given=3128. Generated=3569286. Kept=74598. proofs=1. 103.86/104.16 Usable=1065. Sos=9999. Demods=8861. Limbo=8, Disabled=63538. Hints=0. 103.86/104.16 Megabytes=58.89. 103.86/104.16 User_CPU=100.59, System_CPU=2.56, Wall_clock=103. 103.86/104.16 103.86/104.16 ============================== end of statistics ===================== 103.86/104.16 103.86/104.16 ============================== end of search ========================= 103.86/104.16 103.86/104.16 THEOREM PROVED 103.86/104.16 % SZS status Theorem 103.86/104.16 103.86/104.16 Exiting with 1 proof. 103.86/104.16 103.86/104.16 Process 16683 exit (max_proofs) Thu Jul 2 08:40:27 2020 103.86/104.16 Prover9 interrupted 103.86/104.16 EOF