0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.14/0.34 % Computer : n010.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1440 0.14/0.34 % WCLimit : 180 0.14/0.34 % DateTime : Mon Jul 3 10:50:39 EDT 2023 0.14/0.34 % CPUTime : 0.74/1.01 ============================== Prover9 =============================== 0.74/1.01 Prover9 (32) version 2009-11A, November 2009. 0.74/1.01 Process 28272 was started by sandbox2 on n010.cluster.edu, 0.74/1.01 Mon Jul 3 10:50:40 2023 0.74/1.01 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_28115_n010.cluster.edu". 0.74/1.01 ============================== end of head =========================== 0.74/1.01 0.74/1.01 ============================== INPUT ================================= 0.74/1.01 0.74/1.01 % Reading from file /tmp/Prover9_28115_n010.cluster.edu 0.74/1.01 0.74/1.01 set(prolog_style_variables). 0.74/1.01 set(auto2). 0.74/1.01 % set(auto2) -> set(auto). 0.74/1.01 % set(auto) -> set(auto_inference). 0.74/1.01 % set(auto) -> set(auto_setup). 0.74/1.01 % set(auto_setup) -> set(predicate_elim). 0.74/1.01 % set(auto_setup) -> assign(eq_defs, unfold). 0.74/1.01 % set(auto) -> set(auto_limits). 0.74/1.01 % set(auto_limits) -> assign(max_weight, "100.000"). 0.74/1.01 % set(auto_limits) -> assign(sos_limit, 20000). 0.74/1.01 % set(auto) -> set(auto_denials). 0.74/1.01 % set(auto) -> set(auto_process). 0.74/1.01 % set(auto2) -> assign(new_constants, 1). 0.74/1.01 % set(auto2) -> assign(fold_denial_max, 3). 0.74/1.01 % set(auto2) -> assign(max_weight, "200.000"). 0.74/1.01 % set(auto2) -> assign(max_hours, 1). 0.74/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.74/1.01 % set(auto2) -> assign(max_seconds, 0). 0.74/1.01 % set(auto2) -> assign(max_minutes, 5). 0.74/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.74/1.01 % set(auto2) -> set(sort_initial_sos). 0.74/1.01 % set(auto2) -> assign(sos_limit, -1). 0.74/1.01 % set(auto2) -> assign(lrs_ticks, 3000). 0.74/1.01 % set(auto2) -> assign(max_megs, 400). 0.74/1.01 % set(auto2) -> assign(stats, some). 0.74/1.01 % set(auto2) -> clear(echo_input). 0.74/1.01 % set(auto2) -> set(quiet). 0.74/1.01 % set(auto2) -> clear(print_initial_clauses). 0.74/1.01 % set(auto2) -> clear(print_given). 0.74/1.01 assign(lrs_ticks,-1). 0.74/1.01 assign(sos_limit,10000). 0.74/1.01 assign(order,kbo). 0.74/1.01 set(lex_order_vars). 0.74/1.01 clear(print_given). 0.74/1.01 0.74/1.01 % formulas(sos). % not echoed (12 formulas) 0.74/1.01 0.74/1.01 ============================== end of input ========================== 0.74/1.01 0.74/1.01 % From the command line: assign(max_seconds, 1440). 0.74/1.01 0.74/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.74/1.01 0.74/1.01 % Formulas that are not ordinary clauses: 0.74/1.01 1 (all C all B all A mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A))) # label(f09) # label(axiom) # label(non_clause). [assumption]. 0.74/1.01 2 (all D all C all B all A mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D))))) # label(f07) # label(axiom) # label(non_clause). [assumption]. 0.74/1.01 3 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 0.74/1.01 4 (all B all A A = mult(mult(A,B),i(B))) # label(f11) # label(axiom) # label(non_clause). [assumption]. 0.74/1.01 5 (all B all A B = mult(i(A),mult(A,B))) # label(f10) # label(axiom) # label(non_clause). [assumption]. 0.74/1.01 6 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption]. 0.74/1.01 7 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 0.74/1.01 8 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 0.74/1.01 9 (all D all C all B all A mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) = rd(mult(mult(mult(A,B),C),D),mult(C,D))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 0.74/1.01 10 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption]. 0.74/1.01 11 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 0.74/1.01 12 -((all X6 all X7 all X8 mult(mult(X8,mult(X6,X7)),X8) = mult(mult(X8,X6),mult(X7,X8))) | (all X9 all X10 all X11 mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11))) | (all X3 all X4 all X5 mult(mult(mult(X3,X5),X4),X5) = mult(X3,mult(X5,mult(X4,X5)))) | (all X0 all X1 all X2 mult(mult(mult(X2,X0),X2),X1) = mult(X2,mult(X0,mult(X2,X1))))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption]. 0.74/1.01 0.74/1.01 ============================== end of process non-clausal formulas === 0.74/1.01 0.74/1.01 ============================== PROCESS INITIAL CLAUSES =============== 0.74/1.01 0.74/1.01 ============================== PREDICATE ELIMINATION ================= 14.05/14.35 14.05/14.35 ============================== end predicate elimination ============= 14.05/14.35 14.05/14.35 Auto_denials: 14.05/14.35 % copying label goals to answer in negative clause 14.05/14.35 % copying label goals to answer in negative clause 14.05/14.35 % copying label goals to answer in negative clause 14.05/14.35 % copying label goals to answer in negative clause 14.05/14.35 % assign(max_proofs, 4). % (Horn set with more than one neg. clause) 14.05/14.35 14.05/14.35 Term ordering decisions: 14.05/14.35 14.05/14.35 % Assigning unary symbol i kb_weight 0 and highest precedence (18). 14.05/14.35 Function symbol KB weights: unit=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. mult=1. ld=1. rd=1. i=0. 14.05/14.35 14.05/14.35 ============================== end of process initial clauses ======== 14.05/14.35 14.05/14.35 ============================== CLAUSES FOR SEARCH ==================== 14.05/14.35 14.05/14.35 ============================== end of clauses for search ============= 14.05/14.35 14.05/14.35 ============================== SEARCH ================================ 14.05/14.35 14.05/14.35 % Starting search at 0.01 seconds. 14.05/14.35 14.05/14.35 Low Water (keep): wt=117.000, iters=3341 14.05/14.35 14.05/14.35 Low Water (keep): wt=107.000, iters=3374 14.05/14.35 14.05/14.35 Low Water (keep): wt=106.000, iters=3449 14.05/14.35 14.05/14.35 Low Water (keep): wt=101.000, iters=3435 14.05/14.35 14.05/14.35 Low Water (keep): wt=97.000, iters=3463 14.05/14.35 14.05/14.35 Low Water (keep): wt=94.000, iters=3429 14.05/14.35 14.05/14.35 Low Water (keep): wt=92.000, iters=3421 14.05/14.35 14.05/14.35 Low Water (keep): wt=82.000, iters=3348 14.05/14.35 14.05/14.35 Low Water (keep): wt=78.000, iters=3340 14.05/14.35 14.05/14.35 Low Water (keep): wt=77.000, iters=3355 14.05/14.35 14.05/14.35 Low Water (keep): wt=72.000, iters=3366 14.05/14.35 14.05/14.35 Low Water (keep): wt=69.000, iters=3440 14.05/14.35 14.05/14.35 Low Water (keep): wt=66.000, iters=3396 14.05/14.35 14.05/14.35 Low Water (keep): wt=62.000, iters=3348 14.05/14.35 14.05/14.35 Low Water (keep): wt=61.000, iters=3341 14.05/14.35 14.05/14.35 Low Water (keep): wt=60.000, iters=3363 14.05/14.35 14.05/14.35 Low Water (keep): wt=58.000, iters=3333 14.05/14.35 14.05/14.35 Low Water (keep): wt=56.000, iters=3375 14.05/14.35 14.05/14.35 Low Water (keep): wt=54.000, iters=3342 14.05/14.35 14.05/14.35 Low Water (keep): wt=53.000, iters=3410 14.05/14.35 14.05/14.35 Low Water (keep): wt=52.000, iters=3353 14.05/14.35 14.05/14.35 Low Water (keep): wt=50.000, iters=3369 14.05/14.35 14.05/14.35 Low Water (keep): wt=49.000, iters=3388 14.05/14.35 14.05/14.35 Low Water (keep): wt=48.000, iters=3413 14.05/14.35 14.05/14.35 Low Water (keep): wt=47.000, iters=3392 14.05/14.35 14.05/14.35 Low Water (keep): wt=46.000, iters=3333 14.05/14.35 14.05/14.35 Low Water (keep): wt=45.000, iters=3383 14.05/14.35 14.05/14.35 Low Water (keep): wt=44.000, iters=3336 14.05/14.35 14.05/14.35 Low Water (keep): wt=43.000, iters=3359 14.05/14.35 14.05/14.35 Low Water (keep): wt=42.000, iters=3333 14.05/14.35 14.05/14.35 Low Water (keep): wt=41.000, iters=3462 14.05/14.35 14.05/14.35 Low Water (keep): wt=40.000, iters=3377 14.05/14.35 14.05/14.35 Low Water (keep): wt=38.000, iters=3340 14.05/14.35 14.05/14.35 Low Water (keep): wt=37.000, iters=3338 14.05/14.35 14.05/14.35 Low Water (displace): id=4301, wt=199.000 14.05/14.35 14.05/14.35 Low Water (displace): id=7120, wt=192.000 14.05/14.35 14.05/14.35 Low Water (displace): id=2526, wt=187.000 14.05/14.35 14.05/14.35 Low Water (displace): id=3256, wt=183.000 14.05/14.35 14.05/14.35 Low Water (displace): id=3217, wt=181.000 14.05/14.35 14.05/14.35 Low Water (displace): id=5967, wt=177.000 14.05/14.35 14.05/14.35 Low Water (displace): id=3427, wt=175.000 14.05/14.35 14.05/14.35 Low Water (displace): id=3839, wt=172.000 14.05/14.35 14.05/14.35 Low Water (displace): id=6898, wt=167.000 14.05/14.35 14.05/14.35 Low Water (displace): id=4450, wt=166.000 14.05/14.35 14.05/14.35 Low Water (displace): id=6922, wt=165.000 14.05/14.35 14.05/14.35 Low Water (displace): id=4665, wt=162.000 14.05/14.35 14.05/14.35 Low Water (displace): id=7117, wt=158.000 14.05/14.35 14.05/14.35 Low Water (displace): id=6899, wt=157.000 14.05/14.35 14.05/14.35 Low Water (displace): id=3871, wt=154.000 14.05/14.35 14.05/14.35 Low Water (displace): id=3872, wt=153.000 14.05/14.35 14.05/14.35 Low Water (displace): id=5373, wt=150.000 14.05/14.35 14.05/14.35 Low Water (displace): id=5279, wt=148.000 14.05/14.35 14.05/14.35 Low Water (displace): id=2859, wt=147.000 14.05/14.35 14.05/14.35 Low Water (displace): id=5325, wt=146.000 14.05/14.35 14.05/14.35 Low Water (displace): id=6185, wt=142.000 14.05/14.35 14.05/14.35 Low Water (displace): id=2371, wt=141.000 14.05/14.35 14.05/14.35 Low Water (displace): id=5894, wt=139.000 14.05/14.35 14.05/14.35 Low Water (displace): id=4761, wt=137.000 14.05/14.35 14.05/14.35 Low Water (displace): id=3951, wt=136.000 14.05/14.35 14.05/14.35 Low Water (displace): id=5821, wt=135.000 14.05/14.35 14.05/14.35 Low Water (displace): id=3924, wt=134.000 14.05/14.35 14.05/14.35 Low Water (displace): id=3260, wt=133.000 14.05/14.35 14.05/14.35 Low Water (displace): id=7116, wt=132.000 14.05/14.35 14.05/14.35 Low Water (displace): id=14062, wt=34.000 14.05/14.35 14.05/14.35 Low Water (displace): id=14063, wt=32.000 14.05/14.35 14.05/14.35 Low Water (displace): id=14077, wt=28.000 14.05/14.35 14.05/14.35 Low Water (keep): wt=36.000, iters=3340 14.05/14.35 14.05/14.35 Low Water (displace): id=15641, wt=27.000 14.05/14.35 14.05/14.35 Low Water (displace): id=15678, wt=26.000 14.05/14.35 14.05/14.35 Low Water (keep): wt=35.000, iters=3372 14.05/14.35 14.05/14.35 Low Water (displace): id=16138, wt=25.000 14.05/14.35 14.05/14.35 Low Water (displace): id=16179, wt=23.000 14.05/14.35 14.05/14.35 Low Water (keep): wt=34.000, iters=3362 14.05/14.35 14.05/14.35 Low Water (keep): wt=33.000, iters=3342 14.05/14.35 14.05/14.35 Low Water (keep): wt=32.000, iters=3350 75.52/75.85 75.52/75.85 Low Water (keep): wt=31.000, iters=3339 75.52/75.85 75.52/75.85 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 84 (0.00 of 23.14 sec). 75.52/75.85 75.52/75.85 Low Water (keep): wt=30.000, iters=3345 75.52/75.85 75.52/75.85 Low Water (displace): id=26012, wt=22.000 75.52/75.85 75.52/75.85 Low Water (keep): wt=29.000, iters=3355 75.52/75.85 75.52/75.85 Low Water (keep): wt=28.000, iters=3345 75.52/75.85 75.52/75.85 Low Water (displace): id=29693, wt=21.000 75.52/75.85 75.52/75.85 Low Water (keep): wt=27.000, iters=3338 75.52/75.85 75.52/75.85 ============================== PROOF ================================= 75.52/75.85 % SZS status Theorem 75.52/75.85 % SZS output start Refutation 75.52/75.85 75.52/75.85 % Proof 1 at 73.90 (+ 0.95) seconds: goals. 75.52/75.85 % Length of proof is 244. 75.52/75.85 % Level of proof is 36. 75.52/75.85 % Maximum clause weight is 57.000. 75.52/75.85 % Given clauses 982. 75.52/75.85 75.52/75.85 1 (all C all B all A mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A))) # label(f09) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 2 (all D all C all B all A mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D))))) # label(f07) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 3 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 4 (all B all A A = mult(mult(A,B),i(B))) # label(f11) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 5 (all B all A B = mult(i(A),mult(A,B))) # label(f10) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 6 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 7 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 9 (all D all C all B all A mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) = rd(mult(mult(mult(A,B),C),D),mult(C,D))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 10 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 11 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 12 -((all X6 all X7 all X8 mult(mult(X8,mult(X6,X7)),X8) = mult(mult(X8,X6),mult(X7,X8))) | (all X9 all X10 all X11 mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11))) | (all X3 all X4 all X5 mult(mult(mult(X3,X5),X4),X5) = mult(X3,mult(X5,mult(X4,X5)))) | (all X0 all X1 all X2 mult(mult(mult(X2,X0),X2),X1) = mult(X2,mult(X0,mult(X2,X1))))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption]. 75.52/75.85 13 mult(A,unit) = A # label(f05) # label(axiom). [clausify(3)]. 75.52/75.85 14 mult(unit,A) = A # label(f06) # label(axiom). [clausify(7)]. 75.52/75.85 15 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(6)]. 75.52/75.85 17 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(10)]. 75.52/75.85 18 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(11)]. 75.52/75.85 19 mult(mult(A,B),i(B)) = A # label(f11) # label(axiom). [clausify(4)]. 75.52/75.85 20 mult(i(A),mult(A,B)) = B # label(f10) # label(axiom). [clausify(5)]. 75.52/75.85 21 ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A))) # label(f09) # label(axiom). [clausify(1)]. 75.52/75.85 22 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)). [copy(21),flip(a)]. 75.52/75.85 23 ld(mult(A,B),mult(A,mult(B,mult(C,D)))) = mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) # label(f07) # label(axiom). [clausify(2)]. 75.52/75.85 24 mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D)))). [copy(23),flip(a)]. 75.52/75.85 25 rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) # label(f08) # label(axiom). [clausify(9)]. 75.52/75.85 26 mult(rd(mult(mult(A,B),C),mult(B,C)),rd(mult(mult(D,B),C),mult(B,C))) = rd(mult(mult(mult(A,D),B),C),mult(B,C)). [copy(25),flip(a)]. 75.52/75.85 27 mult(mult(c3,mult(c1,c2)),c3) != mult(mult(c3,c1),mult(c2,c3)) # label(goals) # label(negated_conjecture) # answer(goals). [clausify(12)]. 75.52/75.85 36 ld(rd(A,B),A) = B. [para(15(a,1),18(a,1,2))]. 75.52/75.85 38 mult(A,i(A)) = unit. [para(14(a,1),19(a,1,1))]. 75.52/75.85 39 rd(A,B) = mult(A,i(B)). [para(15(a,1),19(a,1,1)),flip(a)]. 75.52/75.85 42 ld(mult(A,B),A) = i(B). [para(19(a,1),18(a,1,2))]. 75.52/75.85 43 i(i(A)) = A. [back_rewrite(36),rewrite([39(1),42(3)])]. 75.52/75.85 44 mult(mult(mult(mult(A,B),C),i(mult(B,C))),mult(mult(mult(D,B),C),i(mult(B,C)))) = mult(mult(mult(mult(A,D),B),C),i(mult(B,C))). [back_rewrite(26),rewrite([39(4),39(9),39(16)])]. 75.52/75.85 45 mult(mult(A,i(B)),B) = A. [back_rewrite(15),rewrite([39(1)])]. 75.52/75.85 46 mult(i(A),A) = unit. [para(13(a,1),20(a,1,2))]. 75.52/75.85 48 ld(A,B) = mult(i(A),B). [para(17(a,1),20(a,1,2)),flip(a)]. 75.52/75.85 49 mult(A,i(mult(B,A))) = i(B). [para(20(a,1),19(a,1,1))]. 75.52/75.85 51 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,D)))). [back_rewrite(24),rewrite([48(4),48(9),48(16)])]. 75.52/75.85 52 mult(mult(i(A),mult(B,A)),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(B,C),A)). [back_rewrite(22),rewrite([48(2),48(5),48(10)])]. 75.52/75.85 53 mult(A,mult(i(A),B)) = B. [back_rewrite(17),rewrite([48(1)])]. 75.52/75.85 55 i(mult(A,B)) = mult(i(B),i(A)). [para(19(a,1),49(a,1,2,1)),flip(a)]. 75.52/75.85 56 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),mult(mult(i(A),i(B)),mult(B,mult(A,D)))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,D)))). [back_rewrite(51),rewrite([55(2),55(8),55(15)])]. 75.52/75.85 57 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(mult(D,B),C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,D),B),C),mult(i(C),i(B))). [back_rewrite(44),rewrite([55(4),55(10),55(18)])]. 75.52/75.85 59 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(19(a,1),52(a,1,1,2)),rewrite([43(2),43(3),43(7)])]. 75.52/75.85 60 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(19(a,1),52(a,1,2,2)),rewrite([43(2),43(5),43(7)])]. 75.52/75.85 61 mult(mult(A,mult(B,i(A))),A) = mult(A,B). [para(19(a,1),52(a,2,2)),rewrite([43(2),43(5),38(5),13(5),43(6)])]. 75.52/75.85 72 mult(mult(i(A),B),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(mult(B,i(A)),C),A)). [para(45(a,1),52(a,1,1,2))]. 75.52/75.85 73 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(45(a,1),52(a,1,2,2))]. 75.52/75.85 75 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(mult(i(A),B),A)) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [para(53(a,1),52(a,1,2,2)),rewrite([55(3),43(3),55(9),43(9),55(13),43(13)])]. 75.52/75.85 80 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(55(a,1),19(a,1,2))]. 75.52/75.85 81 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(55(a,1),20(a,1,1))]. 75.52/75.85 82 mult(mult(A,B),mult(i(B),i(A))) = unit. [para(55(a,1),38(a,1,2))]. 75.52/75.85 83 mult(mult(i(A),i(B)),mult(B,A)) = unit. [para(55(a,1),46(a,1,1))]. 75.52/75.85 84 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(55(a,1),45(a,1,1,2))]. 75.52/75.85 85 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(55(a,1),53(a,1,2,1))]. 75.52/75.85 86 mult(mult(A,i(B)),mult(B,i(A))) = unit. [para(43(a,1),82(a,1,2,1))]. 75.52/75.85 94 mult(mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,D)))),mult(mult(mult(i(D),i(A)),i(B)),mult(B,A))) = mult(mult(i(A),i(B)),mult(B,mult(A,C))). [para(56(a,1),19(a,1,1)),rewrite([55(14),55(10),55(9),55(16),43(14),43(14)])]. 75.52/75.85 98 mult(mult(mult(A,i(B)),mult(B,C)),mult(mult(A,i(B)),mult(B,mult(i(A),D)))) = mult(mult(A,i(B)),mult(B,mult(i(A),mult(mult(A,C),D)))). [para(20(a,1),56(a,1,1,2,2)),rewrite([43(2),43(6),43(13)])]. 75.52/75.85 99 mult(mult(mult(A,i(B)),mult(B,mult(i(A),C))),mult(mult(A,i(B)),mult(B,D))) = mult(mult(A,i(B)),mult(B,mult(i(A),mult(C,mult(A,D))))). [para(20(a,1),56(a,1,2,2,2)),rewrite([43(2),43(8),43(13)])]. 75.52/75.85 100 mult(A,mult(mult(A,i(B)),mult(B,mult(i(A),C)))) = mult(mult(A,i(B)),mult(B,C)). [para(20(a,1),56(a,2,2,2)),rewrite([43(2),46(4),13(4),45(3),43(2),43(9)])]. 75.52/75.85 103 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),i(A)) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,i(A))))). [para(38(a,1),56(a,1,2,2,2)),rewrite([13(11),45(10)])]. 75.52/75.85 106 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),A) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [para(46(a,1),56(a,1,2,2)),rewrite([55(3),55(5),43(3),43(3),20(3),55(2),55(9),55(11),43(9),43(9),20(9),13(8),55(10),55(12),43(10),43(10),20(10),55(9)])]. 75.52/75.85 139 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(61(a,1),19(a,1,1))]. 75.52/75.85 140 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(19(a,1),61(a,1,1,2))]. 75.52/75.85 141 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(61(a,1),45(a,1,1)),rewrite([43(6)])]. 75.52/75.85 148 mult(A,mult(mult(mult(i(A),i(B)),mult(B,C)),A)) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(106),rewrite([140(7)])]. 75.52/75.85 150 mult(mult(c3,c1),mult(c2,c3)) != mult(c3,mult(mult(c1,c2),c3)) # answer(goals). [back_rewrite(27),rewrite([140(7)]),flip(a)]. 75.52/75.85 156 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [back_rewrite(75),rewrite([141(9)])]. 75.52/75.85 160 mult(mult(A,B),mult(i(B),mult(A,B))) = mult(A,mult(A,B)). [para(19(a,1),140(a,1,1)),flip(a)]. 75.52/75.85 161 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(140(a,1),20(a,1,2)),rewrite([55(2)])]. 75.52/75.85 162 mult(A,mult(mult(B,mult(B,A)),i(A))) = mult(mult(A,B),B). [para(20(a,1),140(a,2,2)),rewrite([139(3),60(5)])]. 75.52/75.85 171 mult(mult(A,mult(i(B),C)),mult(i(C),B)) = A. [para(43(a,1),80(a,1,2,2))]. 75.52/75.85 178 mult(mult(mult(A,B),mult(i(B),C)),mult(mult(mult(D,i(C)),B),mult(i(B),C))) = mult(mult(mult(mult(mult(A,C),D),i(C)),B),mult(i(B),C)). [para(19(a,1),57(a,1,1,1,1)),rewrite([43(4),43(10),43(19)])]. 75.52/75.85 179 mult(mult(mult(mult(A,i(B)),C),mult(i(C),B)),mult(mult(D,C),mult(i(C),B))) = mult(mult(mult(mult(A,mult(D,B)),i(B)),C),mult(i(C),B)). [para(19(a,1),57(a,1,2,1,1)),rewrite([43(6),43(10),43(19)])]. 75.52/75.85 184 mult(mult(mult(mult(A,B),i(C)),mult(C,i(B))),mult(mult(mult(D,B),i(C)),mult(C,i(B)))) = mult(mult(mult(mult(A,D),B),i(C)),mult(C,i(B))). [para(43(a,1),57(a,1,1,2,1)),rewrite([43(11),43(19)])]. 75.52/75.85 193 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(D,C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,mult(D,i(B))),B),C),mult(i(C),i(B))). [para(45(a,1),57(a,1,2,1,1))]. 75.52/75.85 195 mult(mult(A,mult(mult(i(A),mult(B,C)),i(C))),mult(mult(mult(D,C),mult(mult(i(C),i(B)),A)),mult(mult(i(A),mult(B,C)),i(C)))) = mult(mult(mult(mult(B,D),C),mult(mult(i(C),i(B)),A)),mult(mult(i(A),mult(B,C)),i(C))). [para(53(a,1),57(a,1,1,1)),rewrite([55(2),55(5),55(5),43(3),43(3),55(9),55(14),55(17),55(17),43(15),43(15),55(23),55(28),55(31),55(31),43(29),43(29)])]. 75.52/75.85 201 mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(i(D),i(C)),i(B))),mult(mult(mult(E,B),mult(C,D)),mult(mult(i(D),i(C)),i(B)))) = mult(mult(mult(mult(A,E),B),mult(C,D)),mult(mult(i(D),i(C)),i(B))). [para(55(a,1),57(a,1,1,2,1)),rewrite([55(14),55(25)])]. 75.52/75.85 208 mult(mult(mult(mult(i(A),B),i(C)),mult(C,A)),i(A)) = mult(i(A),mult(mult(mult(B,i(C)),mult(C,A)),i(A))). [para(83(a,1),57(a,1,1,1)),rewrite([55(3),43(6),45(5),14(3),55(7),43(10),45(9),55(16),43(19),45(18)]),flip(a)]. 75.52/75.85 210 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(mult(mult(mult(A,i(C)),i(B)),mult(B,C)),i(C)). [para(83(a,1),57(a,1,2,1)),rewrite([55(6),43(9),45(8),55(9),43(12),45(11),14(9),55(16),43(19),45(18)])]. 75.52/75.85 212 mult(mult(mult(mult(A,B),i(C)),mult(C,i(A))),A) = mult(A,mult(mult(mult(B,i(C)),mult(C,i(A))),A)). [para(86(a,1),57(a,1,1,1)),rewrite([55(4),43(3),43(5),45(4),14(2),55(8),43(7),43(9),45(8),55(16),43(15),43(17),45(16)]),flip(a)]. 75.52/75.85 221 mult(mult(mult(mult(A,B),C),A),mult(i(A),i(C))) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [para(140(a,1),57(a,1,1,1)),rewrite([80(6)]),flip(a)]. 75.52/75.85 233 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(43(a,1),81(a,1,1,2))]. 75.52/75.85 249 mult(mult(A,B),mult(i(B),mult(i(B),i(A)))) = mult(A,mult(i(B),i(A))). [para(19(a,1),139(a,1,1)),rewrite([55(2),55(8)]),flip(a)]. 75.52/75.85 260 mult(mult(A,B),mult(i(B),mult(i(A),B))) = B. [para(139(a,1),85(a,1,2)),rewrite([43(5),43(8)])]. 75.52/75.85 263 mult(mult(A,B),mult(mult(mult(i(B),mult(A,B)),C),mult(i(B),i(A)))) = mult(A,mult(mult(A,B),mult(C,mult(i(B),i(A))))). [para(19(a,1),59(a,1,1)),rewrite([55(3),55(14)]),flip(a)]. 75.52/75.85 264 mult(A,mult(mult(mult(B,A),mult(C,A)),i(A))) = mult(mult(A,B),mult(A,C)). [para(19(a,1),59(a,1,2,2)),flip(a)]. 75.52/75.85 266 mult(i(A),mult(mult(mult(A,mult(B,i(A))),C),A)) = mult(B,mult(i(A),mult(C,A))). [para(20(a,1),59(a,1,1)),rewrite([43(3),139(8),43(11)]),flip(a)]. 75.52/75.85 269 mult(A,mult(mult(mult(i(A),mult(B,A)),C),i(A))) = mult(B,mult(A,mult(C,i(A)))). [para(53(a,1),59(a,1,1)),rewrite([141(7)]),flip(a)]. 75.52/75.85 273 mult(A,mult(mult(mult(B,A),mult(i(A),C)),i(A))) = mult(mult(A,B),mult(C,i(A))). [para(140(a,1),59(a,1,2,2)),rewrite([53(6)]),flip(a)]. 75.52/75.85 292 mult(mult(i(A),B),mult(i(B),mult(A,B))) = B. [para(141(a,1),20(a,1,2)),rewrite([55(3),43(3)])]. 75.52/75.85 300 mult(mult(i(A),mult(B,A)),mult(i(B),A)) = mult(mult(i(A),B),mult(A,mult(i(B),A))). [para(141(a,1),139(a,1,1)),rewrite([55(6),43(6),55(11),43(11)])]. 75.52/75.85 302 mult(mult(A,i(B)),mult(B,mult(i(A),B))) = B. [para(43(a,1),161(a,1,1,1))]. 75.52/75.85 303 mult(mult(i(A),B),mult(i(B),mult(A,i(B)))) = i(B). [para(43(a,1),161(a,1,1,2))]. 75.52/75.85 342 mult(i(A),mult(mult(B,mult(A,mult(C,i(A)))),A)) = mult(mult(i(A),mult(B,A)),C). [para(20(a,1),60(a,1,2)),rewrite([43(3),139(8),43(11)]),flip(a)]. 75.52/75.85 345 mult(A,mult(mult(B,mult(i(A),mult(C,A))),i(A))) = mult(mult(A,mult(B,i(A))),C). [para(53(a,1),60(a,1,2)),rewrite([141(7)]),flip(a)]. 75.52/75.85 399 mult(mult(A,mult(A,B)),mult(i(B),mult(i(A),B))) = mult(A,B). [para(20(a,1),260(a,1,2,2)),rewrite([55(4),141(6)])]. 75.52/75.85 403 mult(mult(A,B),mult(mult(i(B),mult(i(A),B)),mult(A,B))) = mult(B,mult(A,B)). [para(260(a,1),140(a,1,1)),flip(a)]. 75.52/75.85 420 mult(mult(i(A),B),mult(mult(A,B),mult(i(B),A))) = mult(i(A),mult(mult(B,A),A)). [para(292(a,1),140(a,2,2)),rewrite([300(6),156(10),141(11)])]. 75.52/75.85 685 mult(mult(mult(A,i(B)),i(C)),mult(C,B)) = mult(mult(i(B),i(C)),mult(C,mult(B,A))). [para(38(a,1),94(a,1,1,2,2,2)),rewrite([13(5),83(5),43(3),14(8)])]. 75.52/75.85 844 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(mult(i(C),i(B)),mult(B,mult(C,mult(A,i(C))))). [back_rewrite(210),rewrite([685(14),103(16)])]. 75.52/75.85 866 mult(mult(i(A),B),mult(i(B),mult(i(B),A))) = mult(i(A),mult(i(B),A)). [para(160(a,1),233(a,1,2))]. 75.52/75.85 879 mult(mult(A,mult(A,i(B))),B) = mult(B,mult(mult(i(B),A),A)). [para(162(a,1),53(a,1,2)),rewrite([43(9)]),flip(a)]. 75.52/75.85 904 mult(i(A),mult(mult(mult(A,B),B),A)) = mult(B,mult(B,A)). [para(162(a,1),60(a,2,2,1)),rewrite([43(3),20(3),53(5),43(7)]),flip(a)]. 75.52/75.85 980 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(38(a,1),98(a,1,2,2,2)),rewrite([13(8),45(7),43(11),140(10),20(11)])]. 75.52/75.85 1140 mult(mult(A,i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(A,i(B)),mult(B,C))). [para(20(a,1),99(a,2,2,2)),rewrite([46(4),13(4),45(3)]),flip(a)]. 75.52/75.85 1143 mult(mult(A,B),mult(mult(i(B),mult(i(A),C)),mult(A,B))) = mult(mult(A,B),mult(i(B),mult(i(A),mult(C,mult(A,B))))). [para(46(a,1),99(a,1,2,2)),rewrite([43(2),43(8),13(9),140(8),43(10)])]. 75.52/75.85 1268 mult(mult(A,B),mult(i(B),mult(i(A),mult(B,mult(A,B))))) = mult(B,mult(A,B)). [back_rewrite(403),rewrite([1143(8)])]. 75.52/75.85 1317 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(38(a,1),100(a,1,2,2,2)),rewrite([13(4),45(3),43(5)]),flip(a)]. 75.52/75.85 1320 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(100(a,1),53(a,1,2)),rewrite([43(11)]),flip(a)]. 75.52/75.85 1344 mult(mult(mult(i(A),i(B)),mult(B,C)),A) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(100(a,1),141(a,1,1)),rewrite([43(12),1320(13),140(14),148(14),20(15)])]. 75.52/75.85 1357 mult(A,mult(mult(i(B),A),mult(i(A),mult(mult(B,mult(C,i(A))),A)))) = mult(mult(i(B),A),mult(mult(i(A),mult(B,A)),C)). [para(60(a,1),100(a,1,2,2)),rewrite([43(3),55(4),55(2),43(5),141(4),53(5),43(8),43(13),55(14),55(12),43(15),141(14),53(15),43(15)])]. 75.52/75.85 1376 mult(mult(A,i(B)),mult(B,B)) = mult(A,B). [para(302(a,1),100(a,1,2)),flip(a)]. 75.52/75.85 1529 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(C,mult(mult(i(C),i(B)),mult(B,mult(A,i(C))))). [back_rewrite(844),rewrite([1320(16)])]. 75.52/75.85 1626 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(19(a,1),1317(a,1,1)),flip(a)]. 75.52/75.85 1628 mult(mult(A,mult(B,A)),B) = mult(A,mult(B,mult(A,B))). [para(20(a,1),1317(a,1,2)),rewrite([43(3),140(2),1626(6)])]. 75.52/75.85 1629 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(43(a,1),1317(a,1,1,2))]. 75.52/75.85 1630 mult(A,mult(mult(i(A),B),B)) = mult(B,B). [para(45(a,1),1317(a,1,2)),rewrite([55(3),43(2),879(4)])]. 75.52/75.85 1634 mult(mult(i(A),i(A)),mult(A,B)) = mult(i(A),B). [para(1317(a,1),84(a,1,1)),rewrite([43(8)])]. 75.52/75.85 1644 mult(mult(A,A),mult(i(A),B)) = mult(A,B). [para(1317(a,1),171(a,1,1)),rewrite([43(6)])]. 75.52/75.85 1656 mult(mult(A,A),mult(mult(i(A),i(B)),mult(A,A))) = mult(mult(A,i(B)),mult(A,A)). [para(1317(a,1),160(a,1,1)),rewrite([55(3),1317(8),1317(13)])]. 75.52/75.85 1703 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(420),rewrite([1629(6)])]. 75.52/75.85 1707 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [back_rewrite(879),rewrite([1630(8)])]. 75.52/75.85 1709 mult(mult(A,i(B)),mult(A,A)) = mult(A,mult(mult(i(B),A),A)). [back_rewrite(1656),rewrite([1703(6),1644(7)]),flip(a)]. 75.52/75.85 1713 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(19(a,1),1376(a,1,1)),flip(a)]. 75.52/75.85 1736 mult(mult(A,B),mult(i(B),mult(i(A),mult(B,B)))) = mult(B,B). [para(1376(a,1),260(a,1,1)),rewrite([55(3),55(7),43(6),1709(8),1713(7),1634(9)])]. 75.52/75.85 1793 mult(mult(mult(A,i(B)),mult(B,C)),mult(i(C),i(C))) = mult(C,mult(mult(i(C),i(B)),mult(B,mult(A,i(C))))). [back_rewrite(1529),rewrite([1713(8)])]. 75.52/75.85 1826 mult(mult(A,A),B) = mult(A,mult(A,B)). [back_rewrite(904),rewrite([1713(3),140(4),20(5)])]. 75.52/75.85 1901 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(1713(a,1),19(a,1,1))]. 75.52/75.85 1910 mult(mult(A,B),mult(A,A)) = mult(A,mult(B,mult(A,A))). [para(140(a,1),1713(a,1,1)),rewrite([140(3),1713(2)]),flip(a)]. 75.52/75.85 1933 mult(mult(i(A),B),mult(i(B),mult(A,A))) = A. [para(1713(a,1),233(a,1,2))]. 75.52/75.85 2877 mult(mult(A,mult(B,A)),mult(i(A),mult(i(B),A))) = mult(A,A). [para(260(a,1),1628(a,2,2,2)),rewrite([1143(8),1268(8),141(13),1713(12),1736(14)])]. 75.52/75.85 4468 mult(mult(i(A),mult(i(B),i(B))),mult(B,A)) = mult(i(A),mult(i(B),A)). [para(399(a,1),20(a,1,2)),rewrite([55(3),55(2),1713(5)])]. 75.52/75.85 4482 mult(mult(i(A),mult(B,B)),mult(i(B),A)) = mult(i(A),mult(B,A)). [para(399(a,1),233(a,1,2)),rewrite([55(3),43(3),1713(3),43(9)])]. 75.52/75.85 10072 mult(mult(mult(A,B),mult(i(B),C)),C) = mult(mult(mult(A,C),B),mult(i(B),C)). [para(19(a,1),178(a,2,1,1)),rewrite([38(6),14(6),53(7)])]. 75.52/75.85 10081 mult(mult(mult(A,B),mult(i(B),i(C))),C) = mult(mult(mult(A,C),B),mult(i(B),i(C))). [para(45(a,1),178(a,2,1,1,1)),rewrite([43(7),1826(7),80(11),43(8)])]. 75.52/75.85 11199 mult(mult(mult(mult(A,B),mult(A,C)),i(C)),i(A)) = mult(A,mult(mult(mult(B,mult(A,C)),i(C)),i(A))). [para(1707(a,1),184(a,1,1,1)),rewrite([43(3),55(3),53(5),1826(3),38(2),13(2),43(2),43(6),55(6),53(8),43(10),43(14),55(14),53(16)]),flip(a)]. 75.52/75.85 11901 mult(mult(mult(A,B),C),mult(i(C),i(A))) = mult(A,mult(mult(B,C),mult(i(C),i(A)))). [para(140(a,1),193(a,2,1,1)),rewrite([1826(2),80(6),45(9)]),flip(a)]. 75.52/75.85 13499 mult(mult(mult(mult(A,B),mult(C,A)),mult(i(A),mult(i(C),A))),i(A)) = mult(mult(A,mult(mult(B,mult(C,A)),i(A))),i(C)). [para(2877(a,1),201(a,1,1,1)),rewrite([55(4),43(4),43(5),141(4),55(6),80(8),1826(3),38(2),13(2),55(10),43(10),43(11),141(10),55(12),80(14),345(10),55(18),43(18),43(19),141(18),55(20),80(22)]),flip(a)]. 75.52/75.85 13500 mult(mult(mult(mult(A,B),mult(C,B)),mult(i(B),mult(i(C),B))),i(B)) = mult(mult(A,mult(C,B)),mult(i(B),mult(i(C),B))). [para(2877(a,1),201(a,1,2,1)),rewrite([55(10),43(10),43(11),141(10),55(12),80(14),55(13),43(13),43(14),141(13),55(15),80(17),1826(12),38(11),13(11),45(10),55(18),43(18),43(19),141(18),55(20),80(22)]),flip(a)]. 75.52/75.85 13938 mult(mult(mult(i(A),B),i(C)),mult(C,A)) = mult(i(A),mult(mult(B,i(C)),mult(C,A))). [para(208(a,1),19(a,1,1)),rewrite([43(10),141(9),45(8)]),flip(a)]. 75.52/75.85 13964 mult(i(A),mult(mult(mult(B,i(C)),mult(C,A)),i(A))) = mult(mult(i(A),i(C)),mult(C,B)). [para(208(a,1),1901(a,2)),rewrite([13938(6),1910(10),1793(9),20(10),43(9),1344(8),45(6)]),flip(a)]. 75.52/75.85 14085 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [para(212(a,1),45(a,1,1)),rewrite([43(5),13964(8),1344(6),43(12),13938(12)])]. 75.52/75.85 14096 mult(mult(mult(A,i(B)),mult(B,C)),i(C)) = mult(C,mult(mult(i(C),i(B)),mult(B,A))). [para(212(a,1),139(a,2,2)),rewrite([43(6),13938(6),53(7),43(11),13964(14)])]. 75.52/75.85 17230 mult(mult(i(A),B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,i(A)),C),B)). [para(303(a,1),263(a,1,1)),rewrite([55(6),55(4),43(3),43(5),140(4),303(11),139(6),19(5),55(9),55(7),43(6),43(8),140(7),55(10),43(10),171(10),303(15),55(14),55(12),43(11),43(13),140(12),55(15),43(15),171(15)]),flip(a)]. 75.52/75.85 17261 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [back_rewrite(1357),rewrite([17230(9),980(8),45(6),53(7)]),flip(a)]. 75.52/75.85 17365 mult(mult(mult(A,B),mult(C,B)),i(B)) = mult(i(B),mult(mult(B,A),mult(B,C))). [para(264(a,1),20(a,1,2)),flip(a)]. 75.52/75.85 17443 mult(mult(A,B),mult(mult(i(B),mult(C,mult(A,B))),mult(i(B),i(A)))) = mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)). [para(249(a,1),264(a,2,1)),rewrite([84(8),55(7)])]. 75.52/75.85 17524 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(19(a,1),266(a,1,2,1,1,2)),flip(a)]. 75.52/75.85 17525 mult(mult(mult(A,mult(B,i(A))),C),A) = mult(A,mult(B,mult(i(A),mult(C,A)))). [para(266(a,1),20(a,1,2)),rewrite([43(2)]),flip(a)]. 75.52/75.85 17526 mult(mult(A,mult(i(B),mult(C,B))),i(B)) = mult(i(B),mult(mult(B,mult(A,i(B))),C)). [para(266(a,1),140(a,1,1)),rewrite([17525(12),139(14),345(14)])]. 75.52/75.85 17596 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(i(C),mult(mult(mult(C,A),mult(C,B)),i(B))). [back_rewrite(13500),rewrite([17526(10),17365(6),53(7)]),flip(a)]. 75.52/75.85 17597 mult(mult(A,mult(mult(B,mult(C,A)),i(A))),i(C)) = mult(A,mult(mult(mult(B,mult(A,C)),i(C)),i(A))). [back_rewrite(13499),rewrite([17596(8),140(10),11199(9),11199(8),20(10)]),flip(a)]. 75.52/75.85 17961 mult(mult(mult(i(A),mult(B,A)),C),i(A)) = mult(i(A),mult(B,mult(A,mult(C,i(A))))). [para(269(a,1),20(a,1,2)),flip(a)]. 75.52/75.85 17962 mult(mult(A,mult(B,mult(C,i(B)))),B) = mult(B,mult(mult(i(B),mult(A,B)),C)). [para(269(a,1),140(a,1,1)),rewrite([17961(11),141(12),342(12)])]. 75.52/75.85 18435 mult(mult(mult(A,B),mult(i(B),C)),i(B)) = mult(i(B),mult(mult(B,A),mult(C,i(B)))). [para(273(a,1),20(a,1,2)),flip(a)]. 75.52/75.85 18436 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(273(a,1),53(a,1,2)),rewrite([43(4),43(9),43(11)]),flip(a)]. 75.52/75.85 19957 mult(mult(mult(A,mult(B,A)),mult(i(A),i(C))),C) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [para(866(a,1),195(a,1,2,1,2)),rewrite([43(2),43(2),43(4),43(4),55(5),55(4),1713(7),4468(9),140(8),19(7),80(6),43(4),17524(5),43(7),43(7),55(8),55(7),1713(10),4468(12),140(11),19(10),73(9),11901(7),140(8),10081(7),20(9),43(14),43(14),14085(15),38(12),14(13),17524(13),43(15),43(15),55(16),55(15),1713(18),4468(20),140(19),19(18),73(17),11901(15),140(10),140(16),20(17)]),flip(a)]. 75.52/75.85 23021 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(19(a,1),980(a,1,1,1)),rewrite([19(7)])]. 75.52/75.85 23024 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(20(a,1),980(a,1,1,2)),rewrite([43(2),43(5)]),flip(a)]. 75.52/75.85 23026 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(43(a,1),980(a,1,1,1,2)),rewrite([43(7)])]. 75.52/75.85 24060 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(19(a,1),1140(a,1,1)),rewrite([19(8)]),flip(a)]. 75.52/75.85 24143 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C)))) = mult(B,mult(A,C)). [para(24060(a,1),20(a,1,2)),rewrite([55(2),1320(8)])]. 75.52/75.85 24144 mult(i(A),mult(mult(A,B),mult(B,C))) = mult(B,mult(i(A),mult(mult(A,B),C))). [para(20(a,1),24060(a,1,1)),rewrite([20(10)]),flip(a)]. 75.52/75.85 24148 mult(A,mult(B,mult(mult(A,B),mult(i(B),C)))) = mult(mult(A,B),mult(A,C)). [para(53(a,1),24060(a,1,2,2)),flip(a)]. 75.52/75.85 24196 mult(mult(mult(A,B),C),mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C))))) = mult(mult(mult(mult(A,B),C),A),B). [para(221(a,1),24060(a,1,2)),rewrite([19(5),19(19),19(18),20(16)])]. 75.52/75.85 24307 mult(mult(A,mult(B,i(A))),mult(mult(A,B),C)) = mult(mult(A,B),mult(mult(B,mult(C,A)),i(A))). [para(139(a,1),24148(a,1,2,2,1)),rewrite([43(7),60(7),20(8),139(9)]),flip(a)]. 75.52/75.85 26132 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(19(a,1),10072(a,1,1,1)),rewrite([43(2),43(9)]),flip(a)]. 75.52/75.85 26135 mult(mult(mult(A,mult(B,C)),B),C) = mult(mult(mult(A,B),C),mult(B,C)). [para(20(a,1),10072(a,1,1,2)),rewrite([20(10)]),flip(a)]. 75.52/75.85 26218 mult(i(A),mult(mult(A,mult(B,C)),mult(A,C))) = mult(mult(B,mult(C,A)),C). [para(26135(a,1),19(a,1,1)),rewrite([17365(6)])]. 75.52/75.85 26559 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(26132(a,1),221(a,2,2,1)),rewrite([55(10),43(13),45(12),14096(10),24143(10),55(10),43(13),45(12),19(10)]),flip(a)]. 75.52/75.85 26751 mult(mult(A,B),mult(C,mult(C,mult(A,B)))) = mult(A,mult(B,mult(mult(C,mult(C,A)),B))). [para(1826(a,1),26559(a,1,2)),rewrite([1826(7)])]. 75.52/75.85 26825 mult(mult(mult(mult(A,mult(B,C)),i(C)),B),C) = mult(mult(A,B),mult(B,C)). [para(19(a,1),26218(a,2,1,2)),rewrite([43(2),72(8),53(9)])]. 75.52/75.85 26827 mult(i(A),mult(mult(A,B),mult(A,mult(C,B)))) = mult(mult(i(C),mult(mult(C,B),A)),mult(C,B)). [para(20(a,1),26218(a,1,2,1,2))]. 75.52/75.85 26868 mult(mult(mult(A,B),mult(i(A),i(C))),C) = mult(mult(A,mult(B,C)),mult(i(C),i(A))). [para(221(a,1),26218(a,2,1)),rewrite([43(2),19(6),73(8),53(9),139(15),18435(14),53(15)])]. 75.52/75.85 26905 mult(mult(A,mult(mult(B,A),C)),mult(i(C),i(A))) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [back_rewrite(19957),rewrite([26868(7)])]. 75.52/75.85 27004 mult(mult(A,mult(mult(B,mult(A,C)),i(C))),C) = mult(mult(A,B),mult(A,C)). [para(60(a,1),26825(a,1,1,1,1)),rewrite([17597(7),140(8),45(7),140(10),45(9)])]. 75.52/75.85 27100 mult(mult(mult(A,B),mult(A,C)),i(C)) = mult(A,mult(mult(B,mult(A,C)),i(C))). [para(27004(a,1),19(a,1,1))]. 75.52/75.85 27110 mult(mult(i(A),mult(B,mult(C,A))),mult(i(A),i(C))) = mult(mult(i(A),mult(B,C)),i(C)). [para(80(a,1),27004(a,1,1,2,1)),rewrite([43(3)]),flip(a)]. 75.52/75.85 27111 mult(mult(A,B),mult(A,mult(C,B))) = mult(A,mult(mult(mult(B,A),C),B)). [para(27004(a,1),59(a,2,2)),rewrite([19(4),43(4),19(5),19(9)])]. 75.52/75.85 27186 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(17596),rewrite([27100(13),20(14)])]. 75.52/75.85 27188 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [back_rewrite(26827),rewrite([27111(5),20(6)]),flip(a)]. 75.52/75.85 27194 mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)) = mult(mult(A,B),mult(mult(i(B),mult(C,A)),i(A))). [back_rewrite(17443),rewrite([27110(9)]),flip(a)]. 75.52/75.85 27285 mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))) = mult(i(C),mult(mult(C,A),B)). [para(27188(a,1),19(a,1,1)),rewrite([55(5),221(7)])]. 75.52/75.85 27288 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(20(a,1),27188(a,1,1,2,1)),rewrite([43(2),20(5)]),flip(a)]. 75.52/75.85 27295 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(mult(mult(mult(B,A),C),i(A)),mult(A,B)). [para(59(a,1),27188(a,1,1,2)),rewrite([20(7),17962(11)]),flip(a)]. 75.52/75.85 27296 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(59(a,1),27188(a,2,1)),rewrite([55(4),55(3),43(2),139(4),140(8),45(7),27194(7),140(11),45(10),140(9),13938(8),19(5),140(12),45(11)])]. 75.52/75.85 27301 mult(mult(mult(A,mult(mult(i(A),B),C)),i(B)),A) = mult(mult(B,C),mult(i(B),A)). [para(233(a,1),27188(a,1,1,2)),rewrite([43(2)]),flip(a)]. 75.52/75.85 27326 mult(mult(mult(A,mult(B,mult(A,C))),B),A) = mult(mult(A,mult(mult(B,A),C)),mult(B,A)). [para(24060(a,1),27188(a,1,1,2)),rewrite([20(6)]),flip(a)]. 75.52/75.85 27338 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(27188(a,1),10072(a,2,1)),rewrite([20(3),55(2),81(6),55(9),81(13)]),flip(a)]. 75.52/75.85 27342 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(27188(a,1),27004(a,1,1,2,1)),rewrite([19(5),53(9),140(8),26559(8)])]. 75.52/75.85 27346 mult(mult(A,mult(mult(B,A),C)),mult(i(C),i(A))) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(26905),rewrite([27285(14)])]. 75.52/75.85 27349 mult(mult(mult(A,B),C),mult(i(C),mult(mult(C,A),B))) = mult(mult(A,B),mult(mult(C,A),B)). [back_rewrite(24196),rewrite([27285(9),27338(11)])]. 75.52/75.85 27386 mult(mult(i(A),B),mult(mult(mult(mult(i(B),A),C),i(A)),B)) = mult(mult(C,i(A)),B). [para(233(a,1),27338(a,1,1,1)),flip(a)]. 75.52/75.85 27431 mult(A,mult(B,mult(C,mult(mult(mult(i(C),A),B),C)))) = mult(mult(A,mult(B,A)),mult(B,C)). [para(19(a,1),27342(a,1,1,2,1)),rewrite([26559(10)]),flip(a)]. 75.52/75.85 27433 mult(mult(A,mult(B,mult(C,B))),C) = mult(mult(A,B),mult(C,mult(B,C))). [para(20(a,1),27342(a,2,2,2,1)),rewrite([26559(6),45(3)])]. 75.52/75.85 27436 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [para(53(a,1),27342(a,1,1,2,1)),flip(a)]. 75.52/75.85 27477 mult(mult(A,mult(B,A)),mult(B,C)) = mult(A,mult(mult(B,mult(A,B)),C)). [back_rewrite(27431),rewrite([27436(6)]),flip(a)]. 75.52/75.85 27554 mult(mult(A,mult(B,i(C))),mult(C,B)) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(20(a,1),27433(a,2,2,2)),rewrite([139(4),20(5),1713(9)])]. 75.52/75.85 27558 mult(mult(A,mult(B,mult(B,i(C)))),C) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(45(a,1),27433(a,2,2,2)),rewrite([26559(6),139(4),20(5),27554(10)])]. 75.52/75.85 27622 mult(mult(A,i(B)),mult(mult(B,A),C)) = mult(i(B),mult(mult(B,mult(A,A)),C)). [para(20(a,1),27477(a,2,2,1,2)),rewrite([139(4),20(5),1713(8)])]. 75.52/75.85 27697 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)). [para(27288(a,1),59(a,2,2,1)),rewrite([43(8),140(7),20(8),43(12)])]. 75.52/75.85 27705 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(27288(a,1),179(a,2,1)),rewrite([139(3),23021(5),20(3),55(4),45(6),1901(4),55(5),45(7),55(12),45(14),19(12)])]. 75.52/75.85 27748 mult(mult(A,B),mult(mult(i(B),mult(C,A)),i(A))) = mult(i(B),mult(mult(B,A),C)). [para(27296(a,1),139(a,1,1)),rewrite([55(5),27346(7),55(11),27110(13)]),flip(a)]. 75.52/75.85 27749 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(A,mult(mult(B,mult(mult(C,B),A)),i(A))). [para(27296(a,1),59(a,2,2,1)),rewrite([140(7),53(8)])]. 75.52/75.85 27794 mult(A,mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),A))) = mult(i(B),mult(mult(B,mult(A,C)),A)). [para(27288(a,1),27296(a,2,2)),rewrite([20(3),55(2),20(8)])]. 75.52/75.85 27795 mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(27194),rewrite([27748(14)])]. 75.52/75.85 29034 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))). [para(17525(a,1),27705(a,1,2)),rewrite([43(4),19(5),43(9)])]. 75.52/75.85 29134 mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)) = mult(B,mult(mult(C,B),A)). [para(17962(a,1),27188(a,2)),rewrite([55(4),55(3),43(2),139(4),140(8),45(7),27795(7),140(8),45(7),27697(6),140(9),20(10)])]. 75.52/75.85 29139 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(27697),rewrite([29134(12)])]. 75.52/75.85 29143 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(29134(a,1),20(a,1,2)),rewrite([43(2)]),flip(a)]. 75.52/75.85 29147 mult(i(A),mult(mult(mult(A,B),C),A)) = mult(C,mult(mult(i(C),mult(B,C)),A)). [para(53(a,1),29134(a,1,2,1,1,2)),rewrite([141(8)])]. 75.52/75.85 29152 mult(A,mult(mult(B,mult(mult(C,B),A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(29134(a,1),60(a,2,2,1)),rewrite([53(4),20(6)]),flip(a)]. 75.52/75.85 29181 mult(mult(A,mult(mult(B,A),C)),mult(B,A)) = mult(A,mult(B,mult(mult(mult(A,C),B),A))). [back_rewrite(27326),rewrite([29143(5)]),flip(a)]. 75.52/75.85 29183 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [back_rewrite(27749),rewrite([29152(12)])]. 75.52/75.85 29193 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [para(45(a,1),29143(a,2,2,2,1)),rewrite([17962(5),27295(6)])]. 75.52/75.85 29194 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(53(a,1),29143(a,1,1,1,2)),rewrite([141(6)]),flip(a)]. 75.52/75.85 29211 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(1933(a,1),29143(a,1,1,1,2)),rewrite([23026(5),4482(13),17261(12)])]. 75.52/75.85 29241 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(B,mult(A,mult(C,B))). [back_rewrite(27295),rewrite([29193(12)])]. 75.52/75.85 29242 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(29034),rewrite([29194(12)])]. 75.52/75.85 29254 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(23024),rewrite([29211(6),139(3),60(5)])]. 75.52/75.85 29297 mult(mult(A,mult(mult(B,A),C)),i(C)) = mult(i(C),mult(mult(C,mult(A,B)),A)). [para(29139(a,1),27188(a,2,1)),rewrite([55(2),19(6),19(10),18436(8),27794(8)]),flip(a)]. 75.52/75.85 29300 mult(mult(mult(A,mult(B,C)),i(C)),A) = mult(i(C),mult(mult(C,mult(A,B)),A)). [para(27288(a,1),29139(a,2,2)),rewrite([55(2),139(6),24307(9),81(10),20(7)])]. 75.52/75.85 29444 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(29183(a,1),29193(a,1,1,1)),rewrite([19(5),45(9)])]. 75.52/75.85 29478 mult(A,mult(i(B),mult(mult(B,C),mult(i(B),A)))) = mult(mult(A,C),mult(i(B),A)). [para(20(a,1),29444(a,1,1,2)),flip(a)]. 75.52/75.85 29482 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(53(a,1),29444(a,1,1,2)),flip(a)]. 75.52/75.85 29685 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(29139(a,1),29242(a,1,2,2)),rewrite([20(6),53(9)]),flip(a)]. 75.52/75.85 29690 mult(mult(mult(A,B),mult(mult(C,B),A)),i(A)) = mult(mult(mult(A,B),C),B). [para(29685(a,1),19(a,1,1))]. 75.52/75.85 29709 mult(mult(A,B),mult(C,mult(C,A))) = mult(A,mult(mult(B,mult(C,C)),A)). [para(1707(a,1),29685(a,2,2,1)),rewrite([27558(6),19(3),140(4),1826(7)]),flip(a)]. 75.52/75.85 29740 mult(mult(A,mult(B,mult(B,A))),C) = mult(A,mult(B,mult(B,mult(A,C)))). [para(19(a,1),29709(a,1,1)),rewrite([26559(11),27436(11),1826(6)]),flip(a)]. 75.52/75.85 29826 mult(mult(A,mult(B,mult(B,mult(A,C)))),i(C)) = mult(A,mult(B,mult(B,A))). [para(29740(a,1),19(a,1,1))]. 75.52/75.85 29928 mult(mult(A,B),mult(mult(C,B),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(29254(a,1),29241(a,1,1)),rewrite([53(4),29685(4),53(8),55(10),55(8),43(11),141(10),27186(11),45(9)])]. 75.52/75.85 29961 mult(A,mult(mult(B,mult(C,mult(B,A))),i(A))) = mult(mult(mult(A,B),C),B). [back_rewrite(29690),rewrite([29928(4),139(6)])]. 75.52/75.85 30034 mult(mult(A,B),mult(mult(i(B),mult(C,B)),A)) = mult(mult(A,C),mult(B,A)). [para(141(a,1),29928(a,1,2,1)),rewrite([29482(12)])]. 75.52/75.85 30324 mult(mult(mult(A,B),mult(C,C)),B) = mult(A,mult(B,mult(C,mult(C,B)))). [para(1826(a,1),29961(a,1,2,1,2)),rewrite([29826(6)]),flip(a)]. 75.52/75.85 30364 mult(mult(A,mult(B,B)),mult(C,A)) = mult(A,mult(mult(B,mult(B,C)),A)). [para(20(a,1),30324(a,1,1,1)),rewrite([26751(10),20(11)])]. 75.52/75.85 30713 mult(mult(A,mult(B,mult(C,C))),mult(i(C),A)) = mult(mult(A,i(C)),mult(mult(C,mult(B,C)),A)). [para(1901(a,1),30034(a,1,2,1,2)),rewrite([43(4)]),flip(a)]. 75.52/75.85 33326 mult(mult(A,i(B)),mult(mult(B,C),mult(A,B))) = mult(mult(A,mult(C,A)),B). [para(30034(a,1),27622(a,1,2)),rewrite([30364(14),53(11),20(12)])]. 75.52/75.85 33339 mult(mult(A,i(B)),mult(mult(B,mult(C,B)),A)) = mult(mult(A,C),mult(B,A)). [para(33326(a,1),20(a,1,2)),rewrite([55(3),43(2)])]. 75.52/75.85 33358 mult(mult(A,mult(B,mult(C,C))),mult(i(C),A)) = mult(mult(A,B),mult(C,A)). [back_rewrite(30713),rewrite([33339(12)])]. 75.52/75.85 33941 mult(i(A),mult(i(B),mult(mult(B,mult(A,C)),A))) = mult(i(B),mult(mult(B,C),A)). [para(19(a,1),29147(a,2,2,1,2)),rewrite([29300(6),43(10)])]. 75.52/75.85 34361 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [para(29297(a,1),24144(a,2,2,2)),rewrite([19(8),29181(6),20(7),33941(13),27349(11)]),flip(a)]. 75.52/75.85 34382 mult(i(A),mult(mult(A,B),mult(i(A),C))) = mult(mult(B,i(A)),C). [back_rewrite(27386),rewrite([34361(9),27301(8)])]. 75.52/75.85 34407 mult(mult(A,B),mult(i(C),A)) = mult(A,mult(mult(B,i(C)),A)). [back_rewrite(29478),rewrite([34382(6)]),flip(a)]. 75.52/75.85 34432 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [back_rewrite(33358),rewrite([34407(6),1901(4)]),flip(a)]. 75.52/75.85 34433 $F # answer(goals). [resolve(34432,a,150,a)]. 75.52/75.85 75.52/75.85 % SZS output end Refutation 75.52/75.85 ============================== end of proof ========================== 75.52/75.85 75.52/75.85 ============================== PROOF ================================= 75.52/75.85 % SZS status Theorem 75.52/75.85 % SZS output start Refutation 75.52/75.85 75.52/75.85 % Proof 2 at 73.90 (+ 0.95) seconds: goals. 75.52/75.85 % Length of proof is 243. 75.52/75.85 % Level of proof is 36. 75.52/75.85 % Maximum clause weight is 57.000. 75.52/75.85 % Given clauses 982. 75.52/75.85 75.52/75.85 1 (all C all B all A mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A))) # label(f09) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 2 (all D all C all B all A mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D))))) # label(f07) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 3 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 4 (all B all A A = mult(mult(A,B),i(B))) # label(f11) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 5 (all B all A B = mult(i(A),mult(A,B))) # label(f10) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 6 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 7 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 9 (all D all C all B all A mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) = rd(mult(mult(mult(A,B),C),D),mult(C,D))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 10 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 11 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 75.52/75.85 12 -((all X6 all X7 all X8 mult(mult(X8,mult(X6,X7)),X8) = mult(mult(X8,X6),mult(X7,X8))) | (all X9 all X10 all X11 mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11))) | (all X3 all X4 all X5 mult(mult(mult(X3,X5),X4),X5) = mult(X3,mult(X5,mult(X4,X5)))) | (all X0 all X1 all X2 mult(mult(mult(X2,X0),X2),X1) = mult(X2,mult(X0,mult(X2,X1))))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption]. 75.52/75.85 13 mult(A,unit) = A # label(f05) # label(axiom). [clausify(3)]. 75.52/75.85 14 mult(unit,A) = A # label(f06) # label(axiom). [clausify(7)]. 75.52/75.85 15 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(6)]. 75.52/75.85 17 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(10)]. 75.52/75.85 18 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(11)]. 75.52/75.85 19 mult(mult(A,B),i(B)) = A # label(f11) # label(axiom). [clausify(4)]. 75.52/75.85 20 mult(i(A),mult(A,B)) = B # label(f10) # label(axiom). [clausify(5)]. 75.52/75.85 21 ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A))) # label(f09) # label(axiom). [clausify(1)]. 75.52/75.85 22 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)). [copy(21),flip(a)]. 75.52/75.85 23 ld(mult(A,B),mult(A,mult(B,mult(C,D)))) = mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) # label(f07) # label(axiom). [clausify(2)]. 75.52/75.85 24 mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D)))). [copy(23),flip(a)]. 75.52/75.85 25 rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) # label(f08) # label(axiom). [clausify(9)]. 75.52/75.85 26 mult(rd(mult(mult(A,B),C),mult(B,C)),rd(mult(mult(D,B),C),mult(B,C))) = rd(mult(mult(mult(A,D),B),C),mult(B,C)). [copy(25),flip(a)]. 75.52/75.85 28 mult(mult(c6,c4),mult(c5,c6)) != mult(c6,mult(mult(c4,c5),c6)) # label(goals) # label(negated_conjecture) # answer(goals). [clausify(12)]. 75.52/75.85 36 ld(rd(A,B),A) = B. [para(15(a,1),18(a,1,2))]. 75.52/75.85 38 mult(A,i(A)) = unit. [para(14(a,1),19(a,1,1))]. 75.52/75.85 39 rd(A,B) = mult(A,i(B)). [para(15(a,1),19(a,1,1)),flip(a)]. 75.52/75.85 42 ld(mult(A,B),A) = i(B). [para(19(a,1),18(a,1,2))]. 75.52/75.85 43 i(i(A)) = A. [back_rewrite(36),rewrite([39(1),42(3)])]. 75.52/75.85 44 mult(mult(mult(mult(A,B),C),i(mult(B,C))),mult(mult(mult(D,B),C),i(mult(B,C)))) = mult(mult(mult(mult(A,D),B),C),i(mult(B,C))). [back_rewrite(26),rewrite([39(4),39(9),39(16)])]. 75.52/75.85 45 mult(mult(A,i(B)),B) = A. [back_rewrite(15),rewrite([39(1)])]. 75.52/75.85 46 mult(i(A),A) = unit. [para(13(a,1),20(a,1,2))]. 75.52/75.85 48 ld(A,B) = mult(i(A),B). [para(17(a,1),20(a,1,2)),flip(a)]. 75.52/75.85 49 mult(A,i(mult(B,A))) = i(B). [para(20(a,1),19(a,1,1))]. 75.52/75.85 51 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,D)))). [back_rewrite(24),rewrite([48(4),48(9),48(16)])]. 75.52/75.85 52 mult(mult(i(A),mult(B,A)),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(B,C),A)). [back_rewrite(22),rewrite([48(2),48(5),48(10)])]. 75.52/75.85 53 mult(A,mult(i(A),B)) = B. [back_rewrite(17),rewrite([48(1)])]. 75.52/75.85 55 i(mult(A,B)) = mult(i(B),i(A)). [para(19(a,1),49(a,1,2,1)),flip(a)]. 75.52/75.85 56 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),mult(mult(i(A),i(B)),mult(B,mult(A,D)))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,D)))). [back_rewrite(51),rewrite([55(2),55(8),55(15)])]. 75.52/75.85 57 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(mult(D,B),C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,D),B),C),mult(i(C),i(B))). [back_rewrite(44),rewrite([55(4),55(10),55(18)])]. 75.52/75.85 59 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(19(a,1),52(a,1,1,2)),rewrite([43(2),43(3),43(7)])]. 75.52/75.85 60 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(19(a,1),52(a,1,2,2)),rewrite([43(2),43(5),43(7)])]. 75.52/75.85 61 mult(mult(A,mult(B,i(A))),A) = mult(A,B). [para(19(a,1),52(a,2,2)),rewrite([43(2),43(5),38(5),13(5),43(6)])]. 75.52/75.85 72 mult(mult(i(A),B),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(mult(B,i(A)),C),A)). [para(45(a,1),52(a,1,1,2))]. 75.52/75.85 73 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(45(a,1),52(a,1,2,2))]. 75.52/75.85 75 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(mult(i(A),B),A)) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [para(53(a,1),52(a,1,2,2)),rewrite([55(3),43(3),55(9),43(9),55(13),43(13)])]. 75.52/75.85 80 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(55(a,1),19(a,1,2))]. 75.52/75.85 81 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(55(a,1),20(a,1,1))]. 75.52/75.85 82 mult(mult(A,B),mult(i(B),i(A))) = unit. [para(55(a,1),38(a,1,2))]. 75.52/75.85 83 mult(mult(i(A),i(B)),mult(B,A)) = unit. [para(55(a,1),46(a,1,1))]. 75.52/75.85 84 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(55(a,1),45(a,1,1,2))]. 75.52/75.85 85 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(55(a,1),53(a,1,2,1))]. 75.52/75.85 86 mult(mult(A,i(B)),mult(B,i(A))) = unit. [para(43(a,1),82(a,1,2,1))]. 75.52/75.85 94 mult(mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,D)))),mult(mult(mult(i(D),i(A)),i(B)),mult(B,A))) = mult(mult(i(A),i(B)),mult(B,mult(A,C))). [para(56(a,1),19(a,1,1)),rewrite([55(14),55(10),55(9),55(16),43(14),43(14)])]. 75.52/75.85 98 mult(mult(mult(A,i(B)),mult(B,C)),mult(mult(A,i(B)),mult(B,mult(i(A),D)))) = mult(mult(A,i(B)),mult(B,mult(i(A),mult(mult(A,C),D)))). [para(20(a,1),56(a,1,1,2,2)),rewrite([43(2),43(6),43(13)])]. 75.52/75.85 99 mult(mult(mult(A,i(B)),mult(B,mult(i(A),C))),mult(mult(A,i(B)),mult(B,D))) = mult(mult(A,i(B)),mult(B,mult(i(A),mult(C,mult(A,D))))). [para(20(a,1),56(a,1,2,2,2)),rewrite([43(2),43(8),43(13)])]. 75.52/75.85 100 mult(A,mult(mult(A,i(B)),mult(B,mult(i(A),C)))) = mult(mult(A,i(B)),mult(B,C)). [para(20(a,1),56(a,2,2,2)),rewrite([43(2),46(4),13(4),45(3),43(2),43(9)])]. 75.52/75.85 103 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),i(A)) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,i(A))))). [para(38(a,1),56(a,1,2,2,2)),rewrite([13(11),45(10)])]. 75.52/75.85 106 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),A) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [para(46(a,1),56(a,1,2,2)),rewrite([55(3),55(5),43(3),43(3),20(3),55(2),55(9),55(11),43(9),43(9),20(9),13(8),55(10),55(12),43(10),43(10),20(10),55(9)])]. 75.52/75.85 139 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(61(a,1),19(a,1,1))]. 75.52/75.85 140 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(19(a,1),61(a,1,1,2))]. 75.52/75.85 141 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(61(a,1),45(a,1,1)),rewrite([43(6)])]. 75.52/75.85 148 mult(A,mult(mult(mult(i(A),i(B)),mult(B,C)),A)) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(106),rewrite([140(7)])]. 75.52/75.85 156 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [back_rewrite(75),rewrite([141(9)])]. 75.52/75.85 160 mult(mult(A,B),mult(i(B),mult(A,B))) = mult(A,mult(A,B)). [para(19(a,1),140(a,1,1)),flip(a)]. 75.52/75.85 161 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(140(a,1),20(a,1,2)),rewrite([55(2)])]. 75.52/75.85 162 mult(A,mult(mult(B,mult(B,A)),i(A))) = mult(mult(A,B),B). [para(20(a,1),140(a,2,2)),rewrite([139(3),60(5)])]. 75.52/75.85 171 mult(mult(A,mult(i(B),C)),mult(i(C),B)) = A. [para(43(a,1),80(a,1,2,2))]. 75.52/75.85 178 mult(mult(mult(A,B),mult(i(B),C)),mult(mult(mult(D,i(C)),B),mult(i(B),C))) = mult(mult(mult(mult(mult(A,C),D),i(C)),B),mult(i(B),C)). [para(19(a,1),57(a,1,1,1,1)),rewrite([43(4),43(10),43(19)])]. 75.52/75.85 179 mult(mult(mult(mult(A,i(B)),C),mult(i(C),B)),mult(mult(D,C),mult(i(C),B))) = mult(mult(mult(mult(A,mult(D,B)),i(B)),C),mult(i(C),B)). [para(19(a,1),57(a,1,2,1,1)),rewrite([43(6),43(10),43(19)])]. 75.52/75.85 184 mult(mult(mult(mult(A,B),i(C)),mult(C,i(B))),mult(mult(mult(D,B),i(C)),mult(C,i(B)))) = mult(mult(mult(mult(A,D),B),i(C)),mult(C,i(B))). [para(43(a,1),57(a,1,1,2,1)),rewrite([43(11),43(19)])]. 75.52/75.85 193 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(D,C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,mult(D,i(B))),B),C),mult(i(C),i(B))). [para(45(a,1),57(a,1,2,1,1))]. 75.52/75.85 195 mult(mult(A,mult(mult(i(A),mult(B,C)),i(C))),mult(mult(mult(D,C),mult(mult(i(C),i(B)),A)),mult(mult(i(A),mult(B,C)),i(C)))) = mult(mult(mult(mult(B,D),C),mult(mult(i(C),i(B)),A)),mult(mult(i(A),mult(B,C)),i(C))). [para(53(a,1),57(a,1,1,1)),rewrite([55(2),55(5),55(5),43(3),43(3),55(9),55(14),55(17),55(17),43(15),43(15),55(23),55(28),55(31),55(31),43(29),43(29)])]. 75.52/75.85 201 mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(i(D),i(C)),i(B))),mult(mult(mult(E,B),mult(C,D)),mult(mult(i(D),i(C)),i(B)))) = mult(mult(mult(mult(A,E),B),mult(C,D)),mult(mult(i(D),i(C)),i(B))). [para(55(a,1),57(a,1,1,2,1)),rewrite([55(14),55(25)])]. 75.52/75.85 208 mult(mult(mult(mult(i(A),B),i(C)),mult(C,A)),i(A)) = mult(i(A),mult(mult(mult(B,i(C)),mult(C,A)),i(A))). [para(83(a,1),57(a,1,1,1)),rewrite([55(3),43(6),45(5),14(3),55(7),43(10),45(9),55(16),43(19),45(18)]),flip(a)]. 75.52/75.85 210 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(mult(mult(mult(A,i(C)),i(B)),mult(B,C)),i(C)). [para(83(a,1),57(a,1,2,1)),rewrite([55(6),43(9),45(8),55(9),43(12),45(11),14(9),55(16),43(19),45(18)])]. 75.52/75.85 212 mult(mult(mult(mult(A,B),i(C)),mult(C,i(A))),A) = mult(A,mult(mult(mult(B,i(C)),mult(C,i(A))),A)). [para(86(a,1),57(a,1,1,1)),rewrite([55(4),43(3),43(5),45(4),14(2),55(8),43(7),43(9),45(8),55(16),43(15),43(17),45(16)]),flip(a)]. 75.52/75.85 221 mult(mult(mult(mult(A,B),C),A),mult(i(A),i(C))) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [para(140(a,1),57(a,1,1,1)),rewrite([80(6)]),flip(a)]. 75.52/75.85 233 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(43(a,1),81(a,1,1,2))]. 75.52/75.85 249 mult(mult(A,B),mult(i(B),mult(i(B),i(A)))) = mult(A,mult(i(B),i(A))). [para(19(a,1),139(a,1,1)),rewrite([55(2),55(8)]),flip(a)]. 75.52/75.85 260 mult(mult(A,B),mult(i(B),mult(i(A),B))) = B. [para(139(a,1),85(a,1,2)),rewrite([43(5),43(8)])]. 75.52/75.85 263 mult(mult(A,B),mult(mult(mult(i(B),mult(A,B)),C),mult(i(B),i(A)))) = mult(A,mult(mult(A,B),mult(C,mult(i(B),i(A))))). [para(19(a,1),59(a,1,1)),rewrite([55(3),55(14)]),flip(a)]. 75.52/75.85 264 mult(A,mult(mult(mult(B,A),mult(C,A)),i(A))) = mult(mult(A,B),mult(A,C)). [para(19(a,1),59(a,1,2,2)),flip(a)]. 75.52/75.85 266 mult(i(A),mult(mult(mult(A,mult(B,i(A))),C),A)) = mult(B,mult(i(A),mult(C,A))). [para(20(a,1),59(a,1,1)),rewrite([43(3),139(8),43(11)]),flip(a)]. 75.52/75.85 269 mult(A,mult(mult(mult(i(A),mult(B,A)),C),i(A))) = mult(B,mult(A,mult(C,i(A)))). [para(53(a,1),59(a,1,1)),rewrite([141(7)]),flip(a)]. 75.52/75.85 273 mult(A,mult(mult(mult(B,A),mult(i(A),C)),i(A))) = mult(mult(A,B),mult(C,i(A))). [para(140(a,1),59(a,1,2,2)),rewrite([53(6)]),flip(a)]. 75.52/75.85 292 mult(mult(i(A),B),mult(i(B),mult(A,B))) = B. [para(141(a,1),20(a,1,2)),rewrite([55(3),43(3)])]. 75.52/75.85 300 mult(mult(i(A),mult(B,A)),mult(i(B),A)) = mult(mult(i(A),B),mult(A,mult(i(B),A))). [para(141(a,1),139(a,1,1)),rewrite([55(6),43(6),55(11),43(11)])]. 75.52/75.85 302 mult(mult(A,i(B)),mult(B,mult(i(A),B))) = B. [para(43(a,1),161(a,1,1,1))]. 75.52/75.85 303 mult(mult(i(A),B),mult(i(B),mult(A,i(B)))) = i(B). [para(43(a,1),161(a,1,1,2))]. 75.52/75.85 342 mult(i(A),mult(mult(B,mult(A,mult(C,i(A)))),A)) = mult(mult(i(A),mult(B,A)),C). [para(20(a,1),60(a,1,2)),rewrite([43(3),139(8),43(11)]),flip(a)]. 75.52/75.85 345 mult(A,mult(mult(B,mult(i(A),mult(C,A))),i(A))) = mult(mult(A,mult(B,i(A))),C). [para(53(a,1),60(a,1,2)),rewrite([141(7)]),flip(a)]. 75.52/75.85 399 mult(mult(A,mult(A,B)),mult(i(B),mult(i(A),B))) = mult(A,B). [para(20(a,1),260(a,1,2,2)),rewrite([55(4),141(6)])]. 75.52/75.85 403 mult(mult(A,B),mult(mult(i(B),mult(i(A),B)),mult(A,B))) = mult(B,mult(A,B)). [para(260(a,1),140(a,1,1)),flip(a)]. 75.52/75.85 420 mult(mult(i(A),B),mult(mult(A,B),mult(i(B),A))) = mult(i(A),mult(mult(B,A),A)). [para(292(a,1),140(a,2,2)),rewrite([300(6),156(10),141(11)])]. 75.52/75.85 685 mult(mult(mult(A,i(B)),i(C)),mult(C,B)) = mult(mult(i(B),i(C)),mult(C,mult(B,A))). [para(38(a,1),94(a,1,1,2,2,2)),rewrite([13(5),83(5),43(3),14(8)])]. 75.52/75.85 844 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(mult(i(C),i(B)),mult(B,mult(C,mult(A,i(C))))). [back_rewrite(210),rewrite([685(14),103(16)])]. 75.52/75.85 866 mult(mult(i(A),B),mult(i(B),mult(i(B),A))) = mult(i(A),mult(i(B),A)). [para(160(a,1),233(a,1,2))]. 75.52/75.85 879 mult(mult(A,mult(A,i(B))),B) = mult(B,mult(mult(i(B),A),A)). [para(162(a,1),53(a,1,2)),rewrite([43(9)]),flip(a)]. 75.52/75.85 904 mult(i(A),mult(mult(mult(A,B),B),A)) = mult(B,mult(B,A)). [para(162(a,1),60(a,2,2,1)),rewrite([43(3),20(3),53(5),43(7)]),flip(a)]. 75.52/75.85 980 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(38(a,1),98(a,1,2,2,2)),rewrite([13(8),45(7),43(11),140(10),20(11)])]. 75.52/75.85 1140 mult(mult(A,i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(A,i(B)),mult(B,C))). [para(20(a,1),99(a,2,2,2)),rewrite([46(4),13(4),45(3)]),flip(a)]. 75.52/75.85 1143 mult(mult(A,B),mult(mult(i(B),mult(i(A),C)),mult(A,B))) = mult(mult(A,B),mult(i(B),mult(i(A),mult(C,mult(A,B))))). [para(46(a,1),99(a,1,2,2)),rewrite([43(2),43(8),13(9),140(8),43(10)])]. 75.52/75.85 1268 mult(mult(A,B),mult(i(B),mult(i(A),mult(B,mult(A,B))))) = mult(B,mult(A,B)). [back_rewrite(403),rewrite([1143(8)])]. 75.52/75.85 1317 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(38(a,1),100(a,1,2,2,2)),rewrite([13(4),45(3),43(5)]),flip(a)]. 75.52/75.85 1320 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(100(a,1),53(a,1,2)),rewrite([43(11)]),flip(a)]. 75.52/75.85 1344 mult(mult(mult(i(A),i(B)),mult(B,C)),A) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(100(a,1),141(a,1,1)),rewrite([43(12),1320(13),140(14),148(14),20(15)])]. 75.52/75.85 1357 mult(A,mult(mult(i(B),A),mult(i(A),mult(mult(B,mult(C,i(A))),A)))) = mult(mult(i(B),A),mult(mult(i(A),mult(B,A)),C)). [para(60(a,1),100(a,1,2,2)),rewrite([43(3),55(4),55(2),43(5),141(4),53(5),43(8),43(13),55(14),55(12),43(15),141(14),53(15),43(15)])]. 75.52/75.85 1376 mult(mult(A,i(B)),mult(B,B)) = mult(A,B). [para(302(a,1),100(a,1,2)),flip(a)]. 75.52/75.85 1529 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(C,mult(mult(i(C),i(B)),mult(B,mult(A,i(C))))). [back_rewrite(844),rewrite([1320(16)])]. 75.52/75.85 1626 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(19(a,1),1317(a,1,1)),flip(a)]. 75.52/75.85 1628 mult(mult(A,mult(B,A)),B) = mult(A,mult(B,mult(A,B))). [para(20(a,1),1317(a,1,2)),rewrite([43(3),140(2),1626(6)])]. 75.52/75.85 1629 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(43(a,1),1317(a,1,1,2))]. 75.52/75.85 1630 mult(A,mult(mult(i(A),B),B)) = mult(B,B). [para(45(a,1),1317(a,1,2)),rewrite([55(3),43(2),879(4)])]. 75.52/75.85 1634 mult(mult(i(A),i(A)),mult(A,B)) = mult(i(A),B). [para(1317(a,1),84(a,1,1)),rewrite([43(8)])]. 75.52/75.85 1644 mult(mult(A,A),mult(i(A),B)) = mult(A,B). [para(1317(a,1),171(a,1,1)),rewrite([43(6)])]. 75.52/75.85 1656 mult(mult(A,A),mult(mult(i(A),i(B)),mult(A,A))) = mult(mult(A,i(B)),mult(A,A)). [para(1317(a,1),160(a,1,1)),rewrite([55(3),1317(8),1317(13)])]. 75.52/75.85 1703 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(420),rewrite([1629(6)])]. 75.52/75.85 1707 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [back_rewrite(879),rewrite([1630(8)])]. 75.52/75.85 1709 mult(mult(A,i(B)),mult(A,A)) = mult(A,mult(mult(i(B),A),A)). [back_rewrite(1656),rewrite([1703(6),1644(7)]),flip(a)]. 75.52/75.85 1713 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(19(a,1),1376(a,1,1)),flip(a)]. 75.52/75.85 1736 mult(mult(A,B),mult(i(B),mult(i(A),mult(B,B)))) = mult(B,B). [para(1376(a,1),260(a,1,1)),rewrite([55(3),55(7),43(6),1709(8),1713(7),1634(9)])]. 75.52/75.85 1793 mult(mult(mult(A,i(B)),mult(B,C)),mult(i(C),i(C))) = mult(C,mult(mult(i(C),i(B)),mult(B,mult(A,i(C))))). [back_rewrite(1529),rewrite([1713(8)])]. 75.52/75.85 1826 mult(mult(A,A),B) = mult(A,mult(A,B)). [back_rewrite(904),rewrite([1713(3),140(4),20(5)])]. 75.52/75.85 1901 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(1713(a,1),19(a,1,1))]. 75.52/75.85 1910 mult(mult(A,B),mult(A,A)) = mult(A,mult(B,mult(A,A))). [para(140(a,1),1713(a,1,1)),rewrite([140(3),1713(2)]),flip(a)]. 75.52/75.85 1933 mult(mult(i(A),B),mult(i(B),mult(A,A))) = A. [para(1713(a,1),233(a,1,2))]. 75.52/75.85 2877 mult(mult(A,mult(B,A)),mult(i(A),mult(i(B),A))) = mult(A,A). [para(260(a,1),1628(a,2,2,2)),rewrite([1143(8),1268(8),141(13),1713(12),1736(14)])]. 75.52/75.85 4468 mult(mult(i(A),mult(i(B),i(B))),mult(B,A)) = mult(i(A),mult(i(B),A)). [para(399(a,1),20(a,1,2)),rewrite([55(3),55(2),1713(5)])]. 75.52/75.85 4482 mult(mult(i(A),mult(B,B)),mult(i(B),A)) = mult(i(A),mult(B,A)). [para(399(a,1),233(a,1,2)),rewrite([55(3),43(3),1713(3),43(9)])]. 75.52/75.85 10072 mult(mult(mult(A,B),mult(i(B),C)),C) = mult(mult(mult(A,C),B),mult(i(B),C)). [para(19(a,1),178(a,2,1,1)),rewrite([38(6),14(6),53(7)])]. 75.52/75.85 10081 mult(mult(mult(A,B),mult(i(B),i(C))),C) = mult(mult(mult(A,C),B),mult(i(B),i(C))). [para(45(a,1),178(a,2,1,1,1)),rewrite([43(7),1826(7),80(11),43(8)])]. 75.52/75.85 11199 mult(mult(mult(mult(A,B),mult(A,C)),i(C)),i(A)) = mult(A,mult(mult(mult(B,mult(A,C)),i(C)),i(A))). [para(1707(a,1),184(a,1,1,1)),rewrite([43(3),55(3),53(5),1826(3),38(2),13(2),43(2),43(6),55(6),53(8),43(10),43(14),55(14),53(16)]),flip(a)]. 75.52/75.85 11901 mult(mult(mult(A,B),C),mult(i(C),i(A))) = mult(A,mult(mult(B,C),mult(i(C),i(A)))). [para(140(a,1),193(a,2,1,1)),rewrite([1826(2),80(6),45(9)]),flip(a)]. 75.52/75.85 13499 mult(mult(mult(mult(A,B),mult(C,A)),mult(i(A),mult(i(C),A))),i(A)) = mult(mult(A,mult(mult(B,mult(C,A)),i(A))),i(C)). [para(2877(a,1),201(a,1,1,1)),rewrite([55(4),43(4),43(5),141(4),55(6),80(8),1826(3),38(2),13(2),55(10),43(10),43(11),141(10),55(12),80(14),345(10),55(18),43(18),43(19),141(18),55(20),80(22)]),flip(a)]. 75.52/75.85 13500 mult(mult(mult(mult(A,B),mult(C,B)),mult(i(B),mult(i(C),B))),i(B)) = mult(mult(A,mult(C,B)),mult(i(B),mult(i(C),B))). [para(2877(a,1),201(a,1,2,1)),rewrite([55(10),43(10),43(11),141(10),55(12),80(14),55(13),43(13),43(14),141(13),55(15),80(17),1826(12),38(11),13(11),45(10),55(18),43(18),43(19),141(18),55(20),80(22)]),flip(a)]. 75.52/75.85 13938 mult(mult(mult(i(A),B),i(C)),mult(C,A)) = mult(i(A),mult(mult(B,i(C)),mult(C,A))). [para(208(a,1),19(a,1,1)),rewrite([43(10),141(9),45(8)]),flip(a)]. 75.52/75.85 13964 mult(i(A),mult(mult(mult(B,i(C)),mult(C,A)),i(A))) = mult(mult(i(A),i(C)),mult(C,B)). [para(208(a,1),1901(a,2)),rewrite([13938(6),1910(10),1793(9),20(10),43(9),1344(8),45(6)]),flip(a)]. 75.52/75.85 14085 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [para(212(a,1),45(a,1,1)),rewrite([43(5),13964(8),1344(6),43(12),13938(12)])]. 75.52/75.85 14096 mult(mult(mult(A,i(B)),mult(B,C)),i(C)) = mult(C,mult(mult(i(C),i(B)),mult(B,A))). [para(212(a,1),139(a,2,2)),rewrite([43(6),13938(6),53(7),43(11),13964(14)])]. 75.52/75.85 17230 mult(mult(i(A),B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,i(A)),C),B)). [para(303(a,1),263(a,1,1)),rewrite([55(6),55(4),43(3),43(5),140(4),303(11),139(6),19(5),55(9),55(7),43(6),43(8),140(7),55(10),43(10),171(10),303(15),55(14),55(12),43(11),43(13),140(12),55(15),43(15),171(15)]),flip(a)]. 75.52/75.85 17261 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [back_rewrite(1357),rewrite([17230(9),980(8),45(6),53(7)]),flip(a)]. 75.52/75.85 17365 mult(mult(mult(A,B),mult(C,B)),i(B)) = mult(i(B),mult(mult(B,A),mult(B,C))). [para(264(a,1),20(a,1,2)),flip(a)]. 75.52/75.85 17443 mult(mult(A,B),mult(mult(i(B),mult(C,mult(A,B))),mult(i(B),i(A)))) = mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)). [para(249(a,1),264(a,2,1)),rewrite([84(8),55(7)])]. 75.52/75.86 17524 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(19(a,1),266(a,1,2,1,1,2)),flip(a)]. 75.52/75.86 17525 mult(mult(mult(A,mult(B,i(A))),C),A) = mult(A,mult(B,mult(i(A),mult(C,A)))). [para(266(a,1),20(a,1,2)),rewrite([43(2)]),flip(a)]. 75.52/75.86 17526 mult(mult(A,mult(i(B),mult(C,B))),i(B)) = mult(i(B),mult(mult(B,mult(A,i(B))),C)). [para(266(a,1),140(a,1,1)),rewrite([17525(12),139(14),345(14)])]. 75.52/75.86 17596 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(i(C),mult(mult(mult(C,A),mult(C,B)),i(B))). [back_rewrite(13500),rewrite([17526(10),17365(6),53(7)]),flip(a)]. 75.52/75.86 17597 mult(mult(A,mult(mult(B,mult(C,A)),i(A))),i(C)) = mult(A,mult(mult(mult(B,mult(A,C)),i(C)),i(A))). [back_rewrite(13499),rewrite([17596(8),140(10),11199(9),11199(8),20(10)]),flip(a)]. 75.52/75.86 17961 mult(mult(mult(i(A),mult(B,A)),C),i(A)) = mult(i(A),mult(B,mult(A,mult(C,i(A))))). [para(269(a,1),20(a,1,2)),flip(a)]. 75.52/75.86 17962 mult(mult(A,mult(B,mult(C,i(B)))),B) = mult(B,mult(mult(i(B),mult(A,B)),C)). [para(269(a,1),140(a,1,1)),rewrite([17961(11),141(12),342(12)])]. 75.52/75.86 18435 mult(mult(mult(A,B),mult(i(B),C)),i(B)) = mult(i(B),mult(mult(B,A),mult(C,i(B)))). [para(273(a,1),20(a,1,2)),flip(a)]. 75.52/75.86 18436 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(273(a,1),53(a,1,2)),rewrite([43(4),43(9),43(11)]),flip(a)]. 75.52/75.86 19957 mult(mult(mult(A,mult(B,A)),mult(i(A),i(C))),C) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [para(866(a,1),195(a,1,2,1,2)),rewrite([43(2),43(2),43(4),43(4),55(5),55(4),1713(7),4468(9),140(8),19(7),80(6),43(4),17524(5),43(7),43(7),55(8),55(7),1713(10),4468(12),140(11),19(10),73(9),11901(7),140(8),10081(7),20(9),43(14),43(14),14085(15),38(12),14(13),17524(13),43(15),43(15),55(16),55(15),1713(18),4468(20),140(19),19(18),73(17),11901(15),140(10),140(16),20(17)]),flip(a)]. 75.52/75.86 23021 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(19(a,1),980(a,1,1,1)),rewrite([19(7)])]. 75.52/75.86 23024 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(20(a,1),980(a,1,1,2)),rewrite([43(2),43(5)]),flip(a)]. 75.52/75.86 23026 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(43(a,1),980(a,1,1,1,2)),rewrite([43(7)])]. 75.52/75.86 24060 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(19(a,1),1140(a,1,1)),rewrite([19(8)]),flip(a)]. 75.52/75.86 24143 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C)))) = mult(B,mult(A,C)). [para(24060(a,1),20(a,1,2)),rewrite([55(2),1320(8)])]. 75.52/75.86 24144 mult(i(A),mult(mult(A,B),mult(B,C))) = mult(B,mult(i(A),mult(mult(A,B),C))). [para(20(a,1),24060(a,1,1)),rewrite([20(10)]),flip(a)]. 75.52/75.86 24148 mult(A,mult(B,mult(mult(A,B),mult(i(B),C)))) = mult(mult(A,B),mult(A,C)). [para(53(a,1),24060(a,1,2,2)),flip(a)]. 75.52/75.86 24196 mult(mult(mult(A,B),C),mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C))))) = mult(mult(mult(mult(A,B),C),A),B). [para(221(a,1),24060(a,1,2)),rewrite([19(5),19(19),19(18),20(16)])]. 75.52/75.86 24307 mult(mult(A,mult(B,i(A))),mult(mult(A,B),C)) = mult(mult(A,B),mult(mult(B,mult(C,A)),i(A))). [para(139(a,1),24148(a,1,2,2,1)),rewrite([43(7),60(7),20(8),139(9)]),flip(a)]. 75.52/75.86 26132 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(19(a,1),10072(a,1,1,1)),rewrite([43(2),43(9)]),flip(a)]. 75.52/75.86 26135 mult(mult(mult(A,mult(B,C)),B),C) = mult(mult(mult(A,B),C),mult(B,C)). [para(20(a,1),10072(a,1,1,2)),rewrite([20(10)]),flip(a)]. 75.52/75.86 26218 mult(i(A),mult(mult(A,mult(B,C)),mult(A,C))) = mult(mult(B,mult(C,A)),C). [para(26135(a,1),19(a,1,1)),rewrite([17365(6)])]. 75.52/75.86 26559 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(26132(a,1),221(a,2,2,1)),rewrite([55(10),43(13),45(12),14096(10),24143(10),55(10),43(13),45(12),19(10)]),flip(a)]. 75.52/75.86 26751 mult(mult(A,B),mult(C,mult(C,mult(A,B)))) = mult(A,mult(B,mult(mult(C,mult(C,A)),B))). [para(1826(a,1),26559(a,1,2)),rewrite([1826(7)])]. 75.52/75.86 26825 mult(mult(mult(mult(A,mult(B,C)),i(C)),B),C) = mult(mult(A,B),mult(B,C)). [para(19(a,1),26218(a,2,1,2)),rewrite([43(2),72(8),53(9)])]. 75.52/75.86 26827 mult(i(A),mult(mult(A,B),mult(A,mult(C,B)))) = mult(mult(i(C),mult(mult(C,B),A)),mult(C,B)). [para(20(a,1),26218(a,1,2,1,2))]. 75.52/75.86 26868 mult(mult(mult(A,B),mult(i(A),i(C))),C) = mult(mult(A,mult(B,C)),mult(i(C),i(A))). [para(221(a,1),26218(a,2,1)),rewrite([43(2),19(6),73(8),53(9),139(15),18435(14),53(15)])]. 75.52/75.86 26905 mult(mult(A,mult(mult(B,A),C)),mult(i(C),i(A))) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [back_rewrite(19957),rewrite([26868(7)])]. 75.52/75.86 27004 mult(mult(A,mult(mult(B,mult(A,C)),i(C))),C) = mult(mult(A,B),mult(A,C)). [para(60(a,1),26825(a,1,1,1,1)),rewrite([17597(7),140(8),45(7),140(10),45(9)])]. 75.52/75.86 27100 mult(mult(mult(A,B),mult(A,C)),i(C)) = mult(A,mult(mult(B,mult(A,C)),i(C))). [para(27004(a,1),19(a,1,1))]. 75.52/75.86 27110 mult(mult(i(A),mult(B,mult(C,A))),mult(i(A),i(C))) = mult(mult(i(A),mult(B,C)),i(C)). [para(80(a,1),27004(a,1,1,2,1)),rewrite([43(3)]),flip(a)]. 75.52/75.86 27111 mult(mult(A,B),mult(A,mult(C,B))) = mult(A,mult(mult(mult(B,A),C),B)). [para(27004(a,1),59(a,2,2)),rewrite([19(4),43(4),19(5),19(9)])]. 75.52/75.86 27186 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(17596),rewrite([27100(13),20(14)])]. 75.52/75.86 27188 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [back_rewrite(26827),rewrite([27111(5),20(6)]),flip(a)]. 75.52/75.86 27194 mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)) = mult(mult(A,B),mult(mult(i(B),mult(C,A)),i(A))). [back_rewrite(17443),rewrite([27110(9)]),flip(a)]. 75.52/75.86 27285 mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))) = mult(i(C),mult(mult(C,A),B)). [para(27188(a,1),19(a,1,1)),rewrite([55(5),221(7)])]. 75.52/75.86 27288 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(20(a,1),27188(a,1,1,2,1)),rewrite([43(2),20(5)]),flip(a)]. 75.52/75.86 27295 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(mult(mult(mult(B,A),C),i(A)),mult(A,B)). [para(59(a,1),27188(a,1,1,2)),rewrite([20(7),17962(11)]),flip(a)]. 75.52/75.86 27296 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(59(a,1),27188(a,2,1)),rewrite([55(4),55(3),43(2),139(4),140(8),45(7),27194(7),140(11),45(10),140(9),13938(8),19(5),140(12),45(11)])]. 75.52/75.86 27301 mult(mult(mult(A,mult(mult(i(A),B),C)),i(B)),A) = mult(mult(B,C),mult(i(B),A)). [para(233(a,1),27188(a,1,1,2)),rewrite([43(2)]),flip(a)]. 75.52/75.86 27326 mult(mult(mult(A,mult(B,mult(A,C))),B),A) = mult(mult(A,mult(mult(B,A),C)),mult(B,A)). [para(24060(a,1),27188(a,1,1,2)),rewrite([20(6)]),flip(a)]. 75.52/75.86 27338 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(27188(a,1),10072(a,2,1)),rewrite([20(3),55(2),81(6),55(9),81(13)]),flip(a)]. 75.52/75.86 27342 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(27188(a,1),27004(a,1,1,2,1)),rewrite([19(5),53(9),140(8),26559(8)])]. 75.52/75.86 27346 mult(mult(A,mult(mult(B,A),C)),mult(i(C),i(A))) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(26905),rewrite([27285(14)])]. 75.52/75.86 27349 mult(mult(mult(A,B),C),mult(i(C),mult(mult(C,A),B))) = mult(mult(A,B),mult(mult(C,A),B)). [back_rewrite(24196),rewrite([27285(9),27338(11)])]. 75.52/75.86 27386 mult(mult(i(A),B),mult(mult(mult(mult(i(B),A),C),i(A)),B)) = mult(mult(C,i(A)),B). [para(233(a,1),27338(a,1,1,1)),flip(a)]. 75.52/75.86 27431 mult(A,mult(B,mult(C,mult(mult(mult(i(C),A),B),C)))) = mult(mult(A,mult(B,A)),mult(B,C)). [para(19(a,1),27342(a,1,1,2,1)),rewrite([26559(10)]),flip(a)]. 75.52/75.86 27433 mult(mult(A,mult(B,mult(C,B))),C) = mult(mult(A,B),mult(C,mult(B,C))). [para(20(a,1),27342(a,2,2,2,1)),rewrite([26559(6),45(3)])]. 75.52/75.86 27436 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [para(53(a,1),27342(a,1,1,2,1)),flip(a)]. 75.52/75.86 27477 mult(mult(A,mult(B,A)),mult(B,C)) = mult(A,mult(mult(B,mult(A,B)),C)). [back_rewrite(27431),rewrite([27436(6)]),flip(a)]. 75.52/75.86 27554 mult(mult(A,mult(B,i(C))),mult(C,B)) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(20(a,1),27433(a,2,2,2)),rewrite([139(4),20(5),1713(9)])]. 75.52/75.86 27558 mult(mult(A,mult(B,mult(B,i(C)))),C) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(45(a,1),27433(a,2,2,2)),rewrite([26559(6),139(4),20(5),27554(10)])]. 75.52/75.86 27622 mult(mult(A,i(B)),mult(mult(B,A),C)) = mult(i(B),mult(mult(B,mult(A,A)),C)). [para(20(a,1),27477(a,2,2,1,2)),rewrite([139(4),20(5),1713(8)])]. 75.52/75.86 27697 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)). [para(27288(a,1),59(a,2,2,1)),rewrite([43(8),140(7),20(8),43(12)])]. 75.52/75.86 27705 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(27288(a,1),179(a,2,1)),rewrite([139(3),23021(5),20(3),55(4),45(6),1901(4),55(5),45(7),55(12),45(14),19(12)])]. 75.52/75.86 27748 mult(mult(A,B),mult(mult(i(B),mult(C,A)),i(A))) = mult(i(B),mult(mult(B,A),C)). [para(27296(a,1),139(a,1,1)),rewrite([55(5),27346(7),55(11),27110(13)]),flip(a)]. 75.52/75.86 27749 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(A,mult(mult(B,mult(mult(C,B),A)),i(A))). [para(27296(a,1),59(a,2,2,1)),rewrite([140(7),53(8)])]. 75.52/75.86 27794 mult(A,mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),A))) = mult(i(B),mult(mult(B,mult(A,C)),A)). [para(27288(a,1),27296(a,2,2)),rewrite([20(3),55(2),20(8)])]. 75.52/75.86 27795 mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(27194),rewrite([27748(14)])]. 75.52/75.86 29034 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))). [para(17525(a,1),27705(a,1,2)),rewrite([43(4),19(5),43(9)])]. 75.52/75.86 29134 mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)) = mult(B,mult(mult(C,B),A)). [para(17962(a,1),27188(a,2)),rewrite([55(4),55(3),43(2),139(4),140(8),45(7),27795(7),140(8),45(7),27697(6),140(9),20(10)])]. 75.52/75.86 29139 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(27697),rewrite([29134(12)])]. 75.52/75.86 29143 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(29134(a,1),20(a,1,2)),rewrite([43(2)]),flip(a)]. 75.52/75.86 29147 mult(i(A),mult(mult(mult(A,B),C),A)) = mult(C,mult(mult(i(C),mult(B,C)),A)). [para(53(a,1),29134(a,1,2,1,1,2)),rewrite([141(8)])]. 75.52/75.86 29152 mult(A,mult(mult(B,mult(mult(C,B),A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(29134(a,1),60(a,2,2,1)),rewrite([53(4),20(6)]),flip(a)]. 75.52/75.86 29181 mult(mult(A,mult(mult(B,A),C)),mult(B,A)) = mult(A,mult(B,mult(mult(mult(A,C),B),A))). [back_rewrite(27326),rewrite([29143(5)]),flip(a)]. 75.52/75.86 29183 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [back_rewrite(27749),rewrite([29152(12)])]. 75.52/75.86 29193 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [para(45(a,1),29143(a,2,2,2,1)),rewrite([17962(5),27295(6)])]. 75.52/75.86 29194 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(53(a,1),29143(a,1,1,1,2)),rewrite([141(6)]),flip(a)]. 75.52/75.86 29211 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(1933(a,1),29143(a,1,1,1,2)),rewrite([23026(5),4482(13),17261(12)])]. 75.52/75.86 29241 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(B,mult(A,mult(C,B))). [back_rewrite(27295),rewrite([29193(12)])]. 75.52/75.86 29242 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(29034),rewrite([29194(12)])]. 75.52/75.86 29254 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(23024),rewrite([29211(6),139(3),60(5)])]. 75.52/75.86 29297 mult(mult(A,mult(mult(B,A),C)),i(C)) = mult(i(C),mult(mult(C,mult(A,B)),A)). [para(29139(a,1),27188(a,2,1)),rewrite([55(2),19(6),19(10),18436(8),27794(8)]),flip(a)]. 75.52/75.86 29300 mult(mult(mult(A,mult(B,C)),i(C)),A) = mult(i(C),mult(mult(C,mult(A,B)),A)). [para(27288(a,1),29139(a,2,2)),rewrite([55(2),139(6),24307(9),81(10),20(7)])]. 75.52/75.86 29444 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(29183(a,1),29193(a,1,1,1)),rewrite([19(5),45(9)])]. 75.52/75.86 29478 mult(A,mult(i(B),mult(mult(B,C),mult(i(B),A)))) = mult(mult(A,C),mult(i(B),A)). [para(20(a,1),29444(a,1,1,2)),flip(a)]. 75.52/75.86 29482 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(53(a,1),29444(a,1,1,2)),flip(a)]. 75.52/75.86 29685 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(29139(a,1),29242(a,1,2,2)),rewrite([20(6),53(9)]),flip(a)]. 75.52/75.86 29690 mult(mult(mult(A,B),mult(mult(C,B),A)),i(A)) = mult(mult(mult(A,B),C),B). [para(29685(a,1),19(a,1,1))]. 75.52/75.86 29709 mult(mult(A,B),mult(C,mult(C,A))) = mult(A,mult(mult(B,mult(C,C)),A)). [para(1707(a,1),29685(a,2,2,1)),rewrite([27558(6),19(3),140(4),1826(7)]),flip(a)]. 75.52/75.86 29740 mult(mult(A,mult(B,mult(B,A))),C) = mult(A,mult(B,mult(B,mult(A,C)))). [para(19(a,1),29709(a,1,1)),rewrite([26559(11),27436(11),1826(6)]),flip(a)]. 75.52/75.86 29826 mult(mult(A,mult(B,mult(B,mult(A,C)))),i(C)) = mult(A,mult(B,mult(B,A))). [para(29740(a,1),19(a,1,1))]. 75.52/75.86 29928 mult(mult(A,B),mult(mult(C,B),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(29254(a,1),29241(a,1,1)),rewrite([53(4),29685(4),53(8),55(10),55(8),43(11),141(10),27186(11),45(9)])]. 75.52/75.86 29961 mult(A,mult(mult(B,mult(C,mult(B,A))),i(A))) = mult(mult(mult(A,B),C),B). [back_rewrite(29690),rewrite([29928(4),139(6)])]. 75.52/75.86 30034 mult(mult(A,B),mult(mult(i(B),mult(C,B)),A)) = mult(mult(A,C),mult(B,A)). [para(141(a,1),29928(a,1,2,1)),rewrite([29482(12)])]. 75.52/75.86 30324 mult(mult(mult(A,B),mult(C,C)),B) = mult(A,mult(B,mult(C,mult(C,B)))). [para(1826(a,1),29961(a,1,2,1,2)),rewrite([29826(6)]),flip(a)]. 75.52/75.86 30364 mult(mult(A,mult(B,B)),mult(C,A)) = mult(A,mult(mult(B,mult(B,C)),A)). [para(20(a,1),30324(a,1,1,1)),rewrite([26751(10),20(11)])]. 75.52/75.86 30713 mult(mult(A,mult(B,mult(C,C))),mult(i(C),A)) = mult(mult(A,i(C)),mult(mult(C,mult(B,C)),A)). [para(1901(a,1),30034(a,1,2,1,2)),rewrite([43(4)]),flip(a)]. 75.52/75.86 33326 mult(mult(A,i(B)),mult(mult(B,C),mult(A,B))) = mult(mult(A,mult(C,A)),B). [para(30034(a,1),27622(a,1,2)),rewrite([30364(14),53(11),20(12)])]. 75.52/75.86 33339 mult(mult(A,i(B)),mult(mult(B,mult(C,B)),A)) = mult(mult(A,C),mult(B,A)). [para(33326(a,1),20(a,1,2)),rewrite([55(3),43(2)])]. 75.52/75.86 33358 mult(mult(A,mult(B,mult(C,C))),mult(i(C),A)) = mult(mult(A,B),mult(C,A)). [back_rewrite(30713),rewrite([33339(12)])]. 75.52/75.86 33941 mult(i(A),mult(i(B),mult(mult(B,mult(A,C)),A))) = mult(i(B),mult(mult(B,C),A)). [para(19(a,1),29147(a,2,2,1,2)),rewrite([29300(6),43(10)])]. 75.52/75.86 34361 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [para(29297(a,1),24144(a,2,2,2)),rewrite([19(8),29181(6),20(7),33941(13),27349(11)]),flip(a)]. 75.75/76.04 34382 mult(i(A),mult(mult(A,B),mult(i(A),C))) = mult(mult(B,i(A)),C). [back_rewrite(27386),rewrite([34361(9),27301(8)])]. 75.75/76.04 34407 mult(mult(A,B),mult(i(C),A)) = mult(A,mult(mult(B,i(C)),A)). [back_rewrite(29478),rewrite([34382(6)]),flip(a)]. 75.75/76.04 34432 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [back_rewrite(33358),rewrite([34407(6),1901(4)]),flip(a)]. 75.75/76.04 34434 $F # answer(goals). [resolve(34432,a,28,a)]. 75.75/76.04 75.75/76.04 % SZS output end Refutation 75.75/76.04 ============================== end of proof ========================== 75.75/76.04 % Redundant proof: 34593 $F # answer(goals). [back_rewrite(150),rewrite([34432(7)]),xx(a)]. 75.75/76.04 % Redundant proof: 34594 $F # answer(goals). [back_rewrite(28),rewrite([34432(7)]),xx(a)]. 75.75/76.04 75.75/76.04 ============================== PROOF ================================= 75.75/76.04 % SZS status Theorem 75.75/76.04 % SZS output start Refutation 75.75/76.04 75.75/76.04 % Proof 3 at 74.08 (+ 0.95) seconds: goals. 75.75/76.04 % Length of proof is 264. 75.75/76.04 % Level of proof is 38. 75.75/76.04 % Maximum clause weight is 57.000. 75.75/76.04 % Given clauses 982. 75.75/76.04 75.75/76.04 1 (all C all B all A mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A))) # label(f09) # label(axiom) # label(non_clause). [assumption]. 75.75/76.04 2 (all D all C all B all A mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D))))) # label(f07) # label(axiom) # label(non_clause). [assumption]. 75.75/76.04 3 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 75.75/76.04 4 (all B all A A = mult(mult(A,B),i(B))) # label(f11) # label(axiom) # label(non_clause). [assumption]. 75.75/76.04 5 (all B all A B = mult(i(A),mult(A,B))) # label(f10) # label(axiom) # label(non_clause). [assumption]. 75.75/76.04 6 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption]. 75.75/76.04 7 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 75.75/76.04 9 (all D all C all B all A mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) = rd(mult(mult(mult(A,B),C),D),mult(C,D))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 75.75/76.04 10 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption]. 75.75/76.04 11 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 75.75/76.04 12 -((all X6 all X7 all X8 mult(mult(X8,mult(X6,X7)),X8) = mult(mult(X8,X6),mult(X7,X8))) | (all X9 all X10 all X11 mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11))) | (all X3 all X4 all X5 mult(mult(mult(X3,X5),X4),X5) = mult(X3,mult(X5,mult(X4,X5)))) | (all X0 all X1 all X2 mult(mult(mult(X2,X0),X2),X1) = mult(X2,mult(X0,mult(X2,X1))))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption]. 75.75/76.04 13 mult(A,unit) = A # label(f05) # label(axiom). [clausify(3)]. 75.75/76.04 14 mult(unit,A) = A # label(f06) # label(axiom). [clausify(7)]. 75.75/76.04 15 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(6)]. 75.75/76.04 17 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(10)]. 75.75/76.04 18 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(11)]. 75.75/76.04 19 mult(mult(A,B),i(B)) = A # label(f11) # label(axiom). [clausify(4)]. 75.75/76.04 20 mult(i(A),mult(A,B)) = B # label(f10) # label(axiom). [clausify(5)]. 75.75/76.04 21 ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A))) # label(f09) # label(axiom). [clausify(1)]. 75.75/76.04 22 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)). [copy(21),flip(a)]. 75.75/76.04 23 ld(mult(A,B),mult(A,mult(B,mult(C,D)))) = mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) # label(f07) # label(axiom). [clausify(2)]. 75.75/76.04 24 mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D)))). [copy(23),flip(a)]. 75.75/76.04 25 rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) # label(f08) # label(axiom). [clausify(9)]. 75.75/76.04 26 mult(rd(mult(mult(A,B),C),mult(B,C)),rd(mult(mult(D,B),C),mult(B,C))) = rd(mult(mult(mult(A,D),B),C),mult(B,C)). [copy(25),flip(a)]. 75.75/76.04 29 mult(mult(mult(c7,c9),c8),c9) != mult(c7,mult(c9,mult(c8,c9))) # label(goals) # label(negated_conjecture) # answer(goals). [clausify(12)]. 75.75/76.04 36 ld(rd(A,B),A) = B. [para(15(a,1),18(a,1,2))]. 75.75/76.04 38 mult(A,i(A)) = unit. [para(14(a,1),19(a,1,1))]. 75.75/76.04 39 rd(A,B) = mult(A,i(B)). [para(15(a,1),19(a,1,1)),flip(a)]. 75.75/76.04 42 ld(mult(A,B),A) = i(B). [para(19(a,1),18(a,1,2))]. 75.75/76.04 43 i(i(A)) = A. [back_rewrite(36),rewrite([39(1),42(3)])]. 75.75/76.04 44 mult(mult(mult(mult(A,B),C),i(mult(B,C))),mult(mult(mult(D,B),C),i(mult(B,C)))) = mult(mult(mult(mult(A,D),B),C),i(mult(B,C))). [back_rewrite(26),rewrite([39(4),39(9),39(16)])]. 75.75/76.04 45 mult(mult(A,i(B)),B) = A. [back_rewrite(15),rewrite([39(1)])]. 75.75/76.04 46 mult(i(A),A) = unit. [para(13(a,1),20(a,1,2))]. 75.75/76.04 48 ld(A,B) = mult(i(A),B). [para(17(a,1),20(a,1,2)),flip(a)]. 75.75/76.04 49 mult(A,i(mult(B,A))) = i(B). [para(20(a,1),19(a,1,1))]. 75.75/76.04 51 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,D)))). [back_rewrite(24),rewrite([48(4),48(9),48(16)])]. 75.75/76.04 52 mult(mult(i(A),mult(B,A)),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(B,C),A)). [back_rewrite(22),rewrite([48(2),48(5),48(10)])]. 75.75/76.04 53 mult(A,mult(i(A),B)) = B. [back_rewrite(17),rewrite([48(1)])]. 75.75/76.04 55 i(mult(A,B)) = mult(i(B),i(A)). [para(19(a,1),49(a,1,2,1)),flip(a)]. 75.75/76.04 56 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),mult(mult(i(A),i(B)),mult(B,mult(A,D)))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,D)))). [back_rewrite(51),rewrite([55(2),55(8),55(15)])]. 75.75/76.04 57 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(mult(D,B),C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,D),B),C),mult(i(C),i(B))). [back_rewrite(44),rewrite([55(4),55(10),55(18)])]. 75.75/76.04 59 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(19(a,1),52(a,1,1,2)),rewrite([43(2),43(3),43(7)])]. 75.75/76.04 60 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(19(a,1),52(a,1,2,2)),rewrite([43(2),43(5),43(7)])]. 75.75/76.04 61 mult(mult(A,mult(B,i(A))),A) = mult(A,B). [para(19(a,1),52(a,2,2)),rewrite([43(2),43(5),38(5),13(5),43(6)])]. 75.75/76.04 72 mult(mult(i(A),B),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(mult(B,i(A)),C),A)). [para(45(a,1),52(a,1,1,2))]. 75.75/76.04 73 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(45(a,1),52(a,1,2,2))]. 75.75/76.04 75 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(mult(i(A),B),A)) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [para(53(a,1),52(a,1,2,2)),rewrite([55(3),43(3),55(9),43(9),55(13),43(13)])]. 75.75/76.04 80 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(55(a,1),19(a,1,2))]. 75.75/76.04 81 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(55(a,1),20(a,1,1))]. 75.75/76.04 82 mult(mult(A,B),mult(i(B),i(A))) = unit. [para(55(a,1),38(a,1,2))]. 75.75/76.04 83 mult(mult(i(A),i(B)),mult(B,A)) = unit. [para(55(a,1),46(a,1,1))]. 75.75/76.04 84 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(55(a,1),45(a,1,1,2))]. 75.75/76.04 85 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(55(a,1),53(a,1,2,1))]. 75.75/76.04 86 mult(mult(A,i(B)),mult(B,i(A))) = unit. [para(43(a,1),82(a,1,2,1))]. 75.75/76.04 94 mult(mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,D)))),mult(mult(mult(i(D),i(A)),i(B)),mult(B,A))) = mult(mult(i(A),i(B)),mult(B,mult(A,C))). [para(56(a,1),19(a,1,1)),rewrite([55(14),55(10),55(9),55(16),43(14),43(14)])]. 75.75/76.04 98 mult(mult(mult(A,i(B)),mult(B,C)),mult(mult(A,i(B)),mult(B,mult(i(A),D)))) = mult(mult(A,i(B)),mult(B,mult(i(A),mult(mult(A,C),D)))). [para(20(a,1),56(a,1,1,2,2)),rewrite([43(2),43(6),43(13)])]. 75.75/76.04 99 mult(mult(mult(A,i(B)),mult(B,mult(i(A),C))),mult(mult(A,i(B)),mult(B,D))) = mult(mult(A,i(B)),mult(B,mult(i(A),mult(C,mult(A,D))))). [para(20(a,1),56(a,1,2,2,2)),rewrite([43(2),43(8),43(13)])]. 75.75/76.04 100 mult(A,mult(mult(A,i(B)),mult(B,mult(i(A),C)))) = mult(mult(A,i(B)),mult(B,C)). [para(20(a,1),56(a,2,2,2)),rewrite([43(2),46(4),13(4),45(3),43(2),43(9)])]. 75.75/76.04 103 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),i(A)) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,i(A))))). [para(38(a,1),56(a,1,2,2,2)),rewrite([13(11),45(10)])]. 75.75/76.04 106 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),A) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [para(46(a,1),56(a,1,2,2)),rewrite([55(3),55(5),43(3),43(3),20(3),55(2),55(9),55(11),43(9),43(9),20(9),13(8),55(10),55(12),43(10),43(10),20(10),55(9)])]. 75.75/76.04 139 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(61(a,1),19(a,1,1))]. 75.75/76.04 140 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(19(a,1),61(a,1,1,2))]. 75.75/76.04 141 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(61(a,1),45(a,1,1)),rewrite([43(6)])]. 75.75/76.04 148 mult(A,mult(mult(mult(i(A),i(B)),mult(B,C)),A)) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(106),rewrite([140(7)])]. 75.75/76.04 156 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [back_rewrite(75),rewrite([141(9)])]. 75.75/76.04 160 mult(mult(A,B),mult(i(B),mult(A,B))) = mult(A,mult(A,B)). [para(19(a,1),140(a,1,1)),flip(a)]. 75.75/76.04 161 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(140(a,1),20(a,1,2)),rewrite([55(2)])]. 75.75/76.04 162 mult(A,mult(mult(B,mult(B,A)),i(A))) = mult(mult(A,B),B). [para(20(a,1),140(a,2,2)),rewrite([139(3),60(5)])]. 75.75/76.04 171 mult(mult(A,mult(i(B),C)),mult(i(C),B)) = A. [para(43(a,1),80(a,1,2,2))]. 75.75/76.04 178 mult(mult(mult(A,B),mult(i(B),C)),mult(mult(mult(D,i(C)),B),mult(i(B),C))) = mult(mult(mult(mult(mult(A,C),D),i(C)),B),mult(i(B),C)). [para(19(a,1),57(a,1,1,1,1)),rewrite([43(4),43(10),43(19)])]. 75.75/76.04 179 mult(mult(mult(mult(A,i(B)),C),mult(i(C),B)),mult(mult(D,C),mult(i(C),B))) = mult(mult(mult(mult(A,mult(D,B)),i(B)),C),mult(i(C),B)). [para(19(a,1),57(a,1,2,1,1)),rewrite([43(6),43(10),43(19)])]. 75.75/76.04 184 mult(mult(mult(mult(A,B),i(C)),mult(C,i(B))),mult(mult(mult(D,B),i(C)),mult(C,i(B)))) = mult(mult(mult(mult(A,D),B),i(C)),mult(C,i(B))). [para(43(a,1),57(a,1,1,2,1)),rewrite([43(11),43(19)])]. 75.75/76.04 193 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(D,C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,mult(D,i(B))),B),C),mult(i(C),i(B))). [para(45(a,1),57(a,1,2,1,1))]. 75.75/76.04 195 mult(mult(A,mult(mult(i(A),mult(B,C)),i(C))),mult(mult(mult(D,C),mult(mult(i(C),i(B)),A)),mult(mult(i(A),mult(B,C)),i(C)))) = mult(mult(mult(mult(B,D),C),mult(mult(i(C),i(B)),A)),mult(mult(i(A),mult(B,C)),i(C))). [para(53(a,1),57(a,1,1,1)),rewrite([55(2),55(5),55(5),43(3),43(3),55(9),55(14),55(17),55(17),43(15),43(15),55(23),55(28),55(31),55(31),43(29),43(29)])]. 75.75/76.04 201 mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(i(D),i(C)),i(B))),mult(mult(mult(E,B),mult(C,D)),mult(mult(i(D),i(C)),i(B)))) = mult(mult(mult(mult(A,E),B),mult(C,D)),mult(mult(i(D),i(C)),i(B))). [para(55(a,1),57(a,1,1,2,1)),rewrite([55(14),55(25)])]. 75.75/76.04 208 mult(mult(mult(mult(i(A),B),i(C)),mult(C,A)),i(A)) = mult(i(A),mult(mult(mult(B,i(C)),mult(C,A)),i(A))). [para(83(a,1),57(a,1,1,1)),rewrite([55(3),43(6),45(5),14(3),55(7),43(10),45(9),55(16),43(19),45(18)]),flip(a)]. 75.75/76.04 210 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(mult(mult(mult(A,i(C)),i(B)),mult(B,C)),i(C)). [para(83(a,1),57(a,1,2,1)),rewrite([55(6),43(9),45(8),55(9),43(12),45(11),14(9),55(16),43(19),45(18)])]. 75.75/76.04 212 mult(mult(mult(mult(A,B),i(C)),mult(C,i(A))),A) = mult(A,mult(mult(mult(B,i(C)),mult(C,i(A))),A)). [para(86(a,1),57(a,1,1,1)),rewrite([55(4),43(3),43(5),45(4),14(2),55(8),43(7),43(9),45(8),55(16),43(15),43(17),45(16)]),flip(a)]. 75.75/76.04 221 mult(mult(mult(mult(A,B),C),A),mult(i(A),i(C))) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [para(140(a,1),57(a,1,1,1)),rewrite([80(6)]),flip(a)]. 75.75/76.04 233 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(43(a,1),81(a,1,1,2))]. 75.75/76.04 249 mult(mult(A,B),mult(i(B),mult(i(B),i(A)))) = mult(A,mult(i(B),i(A))). [para(19(a,1),139(a,1,1)),rewrite([55(2),55(8)]),flip(a)]. 75.75/76.04 260 mult(mult(A,B),mult(i(B),mult(i(A),B))) = B. [para(139(a,1),85(a,1,2)),rewrite([43(5),43(8)])]. 75.75/76.04 263 mult(mult(A,B),mult(mult(mult(i(B),mult(A,B)),C),mult(i(B),i(A)))) = mult(A,mult(mult(A,B),mult(C,mult(i(B),i(A))))). [para(19(a,1),59(a,1,1)),rewrite([55(3),55(14)]),flip(a)]. 75.75/76.04 264 mult(A,mult(mult(mult(B,A),mult(C,A)),i(A))) = mult(mult(A,B),mult(A,C)). [para(19(a,1),59(a,1,2,2)),flip(a)]. 75.75/76.04 266 mult(i(A),mult(mult(mult(A,mult(B,i(A))),C),A)) = mult(B,mult(i(A),mult(C,A))). [para(20(a,1),59(a,1,1)),rewrite([43(3),139(8),43(11)]),flip(a)]. 75.75/76.04 269 mult(A,mult(mult(mult(i(A),mult(B,A)),C),i(A))) = mult(B,mult(A,mult(C,i(A)))). [para(53(a,1),59(a,1,1)),rewrite([141(7)]),flip(a)]. 75.75/76.04 273 mult(A,mult(mult(mult(B,A),mult(i(A),C)),i(A))) = mult(mult(A,B),mult(C,i(A))). [para(140(a,1),59(a,1,2,2)),rewrite([53(6)]),flip(a)]. 75.75/76.04 292 mult(mult(i(A),B),mult(i(B),mult(A,B))) = B. [para(141(a,1),20(a,1,2)),rewrite([55(3),43(3)])]. 75.75/76.04 300 mult(mult(i(A),mult(B,A)),mult(i(B),A)) = mult(mult(i(A),B),mult(A,mult(i(B),A))). [para(141(a,1),139(a,1,1)),rewrite([55(6),43(6),55(11),43(11)])]. 75.75/76.04 302 mult(mult(A,i(B)),mult(B,mult(i(A),B))) = B. [para(43(a,1),161(a,1,1,1))]. 75.75/76.04 303 mult(mult(i(A),B),mult(i(B),mult(A,i(B)))) = i(B). [para(43(a,1),161(a,1,1,2))]. 75.75/76.04 342 mult(i(A),mult(mult(B,mult(A,mult(C,i(A)))),A)) = mult(mult(i(A),mult(B,A)),C). [para(20(a,1),60(a,1,2)),rewrite([43(3),139(8),43(11)]),flip(a)]. 75.75/76.04 345 mult(A,mult(mult(B,mult(i(A),mult(C,A))),i(A))) = mult(mult(A,mult(B,i(A))),C). [para(53(a,1),60(a,1,2)),rewrite([141(7)]),flip(a)]. 75.75/76.04 399 mult(mult(A,mult(A,B)),mult(i(B),mult(i(A),B))) = mult(A,B). [para(20(a,1),260(a,1,2,2)),rewrite([55(4),141(6)])]. 75.75/76.04 403 mult(mult(A,B),mult(mult(i(B),mult(i(A),B)),mult(A,B))) = mult(B,mult(A,B)). [para(260(a,1),140(a,1,1)),flip(a)]. 75.75/76.04 420 mult(mult(i(A),B),mult(mult(A,B),mult(i(B),A))) = mult(i(A),mult(mult(B,A),A)). [para(292(a,1),140(a,2,2)),rewrite([300(6),156(10),141(11)])]. 75.75/76.04 685 mult(mult(mult(A,i(B)),i(C)),mult(C,B)) = mult(mult(i(B),i(C)),mult(C,mult(B,A))). [para(38(a,1),94(a,1,1,2,2,2)),rewrite([13(5),83(5),43(3),14(8)])]. 75.75/76.04 844 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(mult(i(C),i(B)),mult(B,mult(C,mult(A,i(C))))). [back_rewrite(210),rewrite([685(14),103(16)])]. 75.75/76.04 866 mult(mult(i(A),B),mult(i(B),mult(i(B),A))) = mult(i(A),mult(i(B),A)). [para(160(a,1),233(a,1,2))]. 75.75/76.04 879 mult(mult(A,mult(A,i(B))),B) = mult(B,mult(mult(i(B),A),A)). [para(162(a,1),53(a,1,2)),rewrite([43(9)]),flip(a)]. 75.75/76.04 904 mult(i(A),mult(mult(mult(A,B),B),A)) = mult(B,mult(B,A)). [para(162(a,1),60(a,2,2,1)),rewrite([43(3),20(3),53(5),43(7)]),flip(a)]. 75.75/76.04 980 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(38(a,1),98(a,1,2,2,2)),rewrite([13(8),45(7),43(11),140(10),20(11)])]. 75.75/76.04 1140 mult(mult(A,i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(A,i(B)),mult(B,C))). [para(20(a,1),99(a,2,2,2)),rewrite([46(4),13(4),45(3)]),flip(a)]. 75.75/76.04 1143 mult(mult(A,B),mult(mult(i(B),mult(i(A),C)),mult(A,B))) = mult(mult(A,B),mult(i(B),mult(i(A),mult(C,mult(A,B))))). [para(46(a,1),99(a,1,2,2)),rewrite([43(2),43(8),13(9),140(8),43(10)])]. 75.75/76.04 1268 mult(mult(A,B),mult(i(B),mult(i(A),mult(B,mult(A,B))))) = mult(B,mult(A,B)). [back_rewrite(403),rewrite([1143(8)])]. 75.75/76.04 1317 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(38(a,1),100(a,1,2,2,2)),rewrite([13(4),45(3),43(5)]),flip(a)]. 75.75/76.04 1320 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(100(a,1),53(a,1,2)),rewrite([43(11)]),flip(a)]. 75.75/76.04 1344 mult(mult(mult(i(A),i(B)),mult(B,C)),A) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(100(a,1),141(a,1,1)),rewrite([43(12),1320(13),140(14),148(14),20(15)])]. 75.75/76.04 1357 mult(A,mult(mult(i(B),A),mult(i(A),mult(mult(B,mult(C,i(A))),A)))) = mult(mult(i(B),A),mult(mult(i(A),mult(B,A)),C)). [para(60(a,1),100(a,1,2,2)),rewrite([43(3),55(4),55(2),43(5),141(4),53(5),43(8),43(13),55(14),55(12),43(15),141(14),53(15),43(15)])]. 75.75/76.04 1376 mult(mult(A,i(B)),mult(B,B)) = mult(A,B). [para(302(a,1),100(a,1,2)),flip(a)]. 75.75/76.04 1529 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(C,mult(mult(i(C),i(B)),mult(B,mult(A,i(C))))). [back_rewrite(844),rewrite([1320(16)])]. 75.75/76.04 1626 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(19(a,1),1317(a,1,1)),flip(a)]. 75.75/76.04 1628 mult(mult(A,mult(B,A)),B) = mult(A,mult(B,mult(A,B))). [para(20(a,1),1317(a,1,2)),rewrite([43(3),140(2),1626(6)])]. 75.75/76.04 1629 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(43(a,1),1317(a,1,1,2))]. 75.75/76.04 1630 mult(A,mult(mult(i(A),B),B)) = mult(B,B). [para(45(a,1),1317(a,1,2)),rewrite([55(3),43(2),879(4)])]. 75.75/76.04 1634 mult(mult(i(A),i(A)),mult(A,B)) = mult(i(A),B). [para(1317(a,1),84(a,1,1)),rewrite([43(8)])]. 75.75/76.04 1635 mult(mult(A,B),mult(i(B),i(B))) = mult(A,i(B)). [para(1317(a,1),85(a,1,2))]. 75.75/76.04 1644 mult(mult(A,A),mult(i(A),B)) = mult(A,B). [para(1317(a,1),171(a,1,1)),rewrite([43(6)])]. 75.75/76.04 1656 mult(mult(A,A),mult(mult(i(A),i(B)),mult(A,A))) = mult(mult(A,i(B)),mult(A,A)). [para(1317(a,1),160(a,1,1)),rewrite([55(3),1317(8),1317(13)])]. 75.75/76.04 1703 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(420),rewrite([1629(6)])]. 75.75/76.04 1707 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [back_rewrite(879),rewrite([1630(8)])]. 75.75/76.04 1709 mult(mult(A,i(B)),mult(A,A)) = mult(A,mult(mult(i(B),A),A)). [back_rewrite(1656),rewrite([1703(6),1644(7)]),flip(a)]. 75.75/76.04 1713 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(19(a,1),1376(a,1,1)),flip(a)]. 75.75/76.04 1736 mult(mult(A,B),mult(i(B),mult(i(A),mult(B,B)))) = mult(B,B). [para(1376(a,1),260(a,1,1)),rewrite([55(3),55(7),43(6),1709(8),1713(7),1634(9)])]. 75.75/76.04 1793 mult(mult(mult(A,i(B)),mult(B,C)),mult(i(C),i(C))) = mult(C,mult(mult(i(C),i(B)),mult(B,mult(A,i(C))))). [back_rewrite(1529),rewrite([1713(8)])]. 75.75/76.04 1826 mult(mult(A,A),B) = mult(A,mult(A,B)). [back_rewrite(904),rewrite([1713(3),140(4),20(5)])]. 75.75/76.04 1901 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(1713(a,1),19(a,1,1))]. 75.75/76.04 1910 mult(mult(A,B),mult(A,A)) = mult(A,mult(B,mult(A,A))). [para(140(a,1),1713(a,1,1)),rewrite([140(3),1713(2)]),flip(a)]. 75.75/76.04 1933 mult(mult(i(A),B),mult(i(B),mult(A,A))) = A. [para(1713(a,1),233(a,1,2))]. 75.75/76.04 2877 mult(mult(A,mult(B,A)),mult(i(A),mult(i(B),A))) = mult(A,A). [para(260(a,1),1628(a,2,2,2)),rewrite([1143(8),1268(8),141(13),1713(12),1736(14)])]. 75.75/76.04 4468 mult(mult(i(A),mult(i(B),i(B))),mult(B,A)) = mult(i(A),mult(i(B),A)). [para(399(a,1),20(a,1,2)),rewrite([55(3),55(2),1713(5)])]. 75.75/76.04 4482 mult(mult(i(A),mult(B,B)),mult(i(B),A)) = mult(i(A),mult(B,A)). [para(399(a,1),233(a,1,2)),rewrite([55(3),43(3),1713(3),43(9)])]. 75.75/76.04 10072 mult(mult(mult(A,B),mult(i(B),C)),C) = mult(mult(mult(A,C),B),mult(i(B),C)). [para(19(a,1),178(a,2,1,1)),rewrite([38(6),14(6),53(7)])]. 75.75/76.04 10081 mult(mult(mult(A,B),mult(i(B),i(C))),C) = mult(mult(mult(A,C),B),mult(i(B),i(C))). [para(45(a,1),178(a,2,1,1,1)),rewrite([43(7),1826(7),80(11),43(8)])]. 75.75/76.04 11199 mult(mult(mult(mult(A,B),mult(A,C)),i(C)),i(A)) = mult(A,mult(mult(mult(B,mult(A,C)),i(C)),i(A))). [para(1707(a,1),184(a,1,1,1)),rewrite([43(3),55(3),53(5),1826(3),38(2),13(2),43(2),43(6),55(6),53(8),43(10),43(14),55(14),53(16)]),flip(a)]. 75.75/76.04 11901 mult(mult(mult(A,B),C),mult(i(C),i(A))) = mult(A,mult(mult(B,C),mult(i(C),i(A)))). [para(140(a,1),193(a,2,1,1)),rewrite([1826(2),80(6),45(9)]),flip(a)]. 75.75/76.04 13499 mult(mult(mult(mult(A,B),mult(C,A)),mult(i(A),mult(i(C),A))),i(A)) = mult(mult(A,mult(mult(B,mult(C,A)),i(A))),i(C)). [para(2877(a,1),201(a,1,1,1)),rewrite([55(4),43(4),43(5),141(4),55(6),80(8),1826(3),38(2),13(2),55(10),43(10),43(11),141(10),55(12),80(14),345(10),55(18),43(18),43(19),141(18),55(20),80(22)]),flip(a)]. 75.75/76.04 13500 mult(mult(mult(mult(A,B),mult(C,B)),mult(i(B),mult(i(C),B))),i(B)) = mult(mult(A,mult(C,B)),mult(i(B),mult(i(C),B))). [para(2877(a,1),201(a,1,2,1)),rewrite([55(10),43(10),43(11),141(10),55(12),80(14),55(13),43(13),43(14),141(13),55(15),80(17),1826(12),38(11),13(11),45(10),55(18),43(18),43(19),141(18),55(20),80(22)]),flip(a)]. 75.75/76.04 13938 mult(mult(mult(i(A),B),i(C)),mult(C,A)) = mult(i(A),mult(mult(B,i(C)),mult(C,A))). [para(208(a,1),19(a,1,1)),rewrite([43(10),141(9),45(8)]),flip(a)]. 75.75/76.04 13964 mult(i(A),mult(mult(mult(B,i(C)),mult(C,A)),i(A))) = mult(mult(i(A),i(C)),mult(C,B)). [para(208(a,1),1901(a,2)),rewrite([13938(6),1910(10),1793(9),20(10),43(9),1344(8),45(6)]),flip(a)]. 75.75/76.04 14085 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [para(212(a,1),45(a,1,1)),rewrite([43(5),13964(8),1344(6),43(12),13938(12)])]. 75.75/76.04 14096 mult(mult(mult(A,i(B)),mult(B,C)),i(C)) = mult(C,mult(mult(i(C),i(B)),mult(B,A))). [para(212(a,1),139(a,2,2)),rewrite([43(6),13938(6),53(7),43(11),13964(14)])]. 75.75/76.04 17230 mult(mult(i(A),B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,i(A)),C),B)). [para(303(a,1),263(a,1,1)),rewrite([55(6),55(4),43(3),43(5),140(4),303(11),139(6),19(5),55(9),55(7),43(6),43(8),140(7),55(10),43(10),171(10),303(15),55(14),55(12),43(11),43(13),140(12),55(15),43(15),171(15)]),flip(a)]. 75.75/76.04 17261 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [back_rewrite(1357),rewrite([17230(9),980(8),45(6),53(7)]),flip(a)]. 75.75/76.04 17365 mult(mult(mult(A,B),mult(C,B)),i(B)) = mult(i(B),mult(mult(B,A),mult(B,C))). [para(264(a,1),20(a,1,2)),flip(a)]. 75.75/76.04 17443 mult(mult(A,B),mult(mult(i(B),mult(C,mult(A,B))),mult(i(B),i(A)))) = mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)). [para(249(a,1),264(a,2,1)),rewrite([84(8),55(7)])]. 75.75/76.04 17524 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(19(a,1),266(a,1,2,1,1,2)),flip(a)]. 75.75/76.04 17525 mult(mult(mult(A,mult(B,i(A))),C),A) = mult(A,mult(B,mult(i(A),mult(C,A)))). [para(266(a,1),20(a,1,2)),rewrite([43(2)]),flip(a)]. 75.75/76.04 17526 mult(mult(A,mult(i(B),mult(C,B))),i(B)) = mult(i(B),mult(mult(B,mult(A,i(B))),C)). [para(266(a,1),140(a,1,1)),rewrite([17525(12),139(14),345(14)])]. 75.75/76.04 17596 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(i(C),mult(mult(mult(C,A),mult(C,B)),i(B))). [back_rewrite(13500),rewrite([17526(10),17365(6),53(7)]),flip(a)]. 75.75/76.04 17597 mult(mult(A,mult(mult(B,mult(C,A)),i(A))),i(C)) = mult(A,mult(mult(mult(B,mult(A,C)),i(C)),i(A))). [back_rewrite(13499),rewrite([17596(8),140(10),11199(9),11199(8),20(10)]),flip(a)]. 75.75/76.04 17961 mult(mult(mult(i(A),mult(B,A)),C),i(A)) = mult(i(A),mult(B,mult(A,mult(C,i(A))))). [para(269(a,1),20(a,1,2)),flip(a)]. 75.75/76.04 17962 mult(mult(A,mult(B,mult(C,i(B)))),B) = mult(B,mult(mult(i(B),mult(A,B)),C)). [para(269(a,1),140(a,1,1)),rewrite([17961(11),141(12),342(12)])]. 75.75/76.04 18435 mult(mult(mult(A,B),mult(i(B),C)),i(B)) = mult(i(B),mult(mult(B,A),mult(C,i(B)))). [para(273(a,1),20(a,1,2)),flip(a)]. 75.75/76.04 18436 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(273(a,1),53(a,1,2)),rewrite([43(4),43(9),43(11)]),flip(a)]. 75.75/76.04 19957 mult(mult(mult(A,mult(B,A)),mult(i(A),i(C))),C) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [para(866(a,1),195(a,1,2,1,2)),rewrite([43(2),43(2),43(4),43(4),55(5),55(4),1713(7),4468(9),140(8),19(7),80(6),43(4),17524(5),43(7),43(7),55(8),55(7),1713(10),4468(12),140(11),19(10),73(9),11901(7),140(8),10081(7),20(9),43(14),43(14),14085(15),38(12),14(13),17524(13),43(15),43(15),55(16),55(15),1713(18),4468(20),140(19),19(18),73(17),11901(15),140(10),140(16),20(17)]),flip(a)]. 75.75/76.04 23021 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(19(a,1),980(a,1,1,1)),rewrite([19(7)])]. 75.75/76.04 23024 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(20(a,1),980(a,1,1,2)),rewrite([43(2),43(5)]),flip(a)]. 75.75/76.04 23026 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(43(a,1),980(a,1,1,1,2)),rewrite([43(7)])]. 75.75/76.04 24060 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(19(a,1),1140(a,1,1)),rewrite([19(8)]),flip(a)]. 75.75/76.04 24143 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C)))) = mult(B,mult(A,C)). [para(24060(a,1),20(a,1,2)),rewrite([55(2),1320(8)])]. 75.75/76.04 24144 mult(i(A),mult(mult(A,B),mult(B,C))) = mult(B,mult(i(A),mult(mult(A,B),C))). [para(20(a,1),24060(a,1,1)),rewrite([20(10)]),flip(a)]. 75.75/76.04 24148 mult(A,mult(B,mult(mult(A,B),mult(i(B),C)))) = mult(mult(A,B),mult(A,C)). [para(53(a,1),24060(a,1,2,2)),flip(a)]. 75.75/76.04 24196 mult(mult(mult(A,B),C),mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C))))) = mult(mult(mult(mult(A,B),C),A),B). [para(221(a,1),24060(a,1,2)),rewrite([19(5),19(19),19(18),20(16)])]. 75.75/76.04 24307 mult(mult(A,mult(B,i(A))),mult(mult(A,B),C)) = mult(mult(A,B),mult(mult(B,mult(C,A)),i(A))). [para(139(a,1),24148(a,1,2,2,1)),rewrite([43(7),60(7),20(8),139(9)]),flip(a)]. 75.75/76.04 26132 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(19(a,1),10072(a,1,1,1)),rewrite([43(2),43(9)]),flip(a)]. 75.75/76.04 26135 mult(mult(mult(A,mult(B,C)),B),C) = mult(mult(mult(A,B),C),mult(B,C)). [para(20(a,1),10072(a,1,1,2)),rewrite([20(10)]),flip(a)]. 75.75/76.04 26218 mult(i(A),mult(mult(A,mult(B,C)),mult(A,C))) = mult(mult(B,mult(C,A)),C). [para(26135(a,1),19(a,1,1)),rewrite([17365(6)])]. 75.75/76.04 26559 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(26132(a,1),221(a,2,2,1)),rewrite([55(10),43(13),45(12),14096(10),24143(10),55(10),43(13),45(12),19(10)]),flip(a)]. 75.75/76.04 26751 mult(mult(A,B),mult(C,mult(C,mult(A,B)))) = mult(A,mult(B,mult(mult(C,mult(C,A)),B))). [para(1826(a,1),26559(a,1,2)),rewrite([1826(7)])]. 75.75/76.04 26825 mult(mult(mult(mult(A,mult(B,C)),i(C)),B),C) = mult(mult(A,B),mult(B,C)). [para(19(a,1),26218(a,2,1,2)),rewrite([43(2),72(8),53(9)])]. 75.75/76.04 26827 mult(i(A),mult(mult(A,B),mult(A,mult(C,B)))) = mult(mult(i(C),mult(mult(C,B),A)),mult(C,B)). [para(20(a,1),26218(a,1,2,1,2))]. 75.75/76.04 26868 mult(mult(mult(A,B),mult(i(A),i(C))),C) = mult(mult(A,mult(B,C)),mult(i(C),i(A))). [para(221(a,1),26218(a,2,1)),rewrite([43(2),19(6),73(8),53(9),139(15),18435(14),53(15)])]. 75.75/76.04 26905 mult(mult(A,mult(mult(B,A),C)),mult(i(C),i(A))) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [back_rewrite(19957),rewrite([26868(7)])]. 75.75/76.04 27004 mult(mult(A,mult(mult(B,mult(A,C)),i(C))),C) = mult(mult(A,B),mult(A,C)). [para(60(a,1),26825(a,1,1,1,1)),rewrite([17597(7),140(8),45(7),140(10),45(9)])]. 75.75/76.04 27100 mult(mult(mult(A,B),mult(A,C)),i(C)) = mult(A,mult(mult(B,mult(A,C)),i(C))). [para(27004(a,1),19(a,1,1))]. 75.75/76.04 27110 mult(mult(i(A),mult(B,mult(C,A))),mult(i(A),i(C))) = mult(mult(i(A),mult(B,C)),i(C)). [para(80(a,1),27004(a,1,1,2,1)),rewrite([43(3)]),flip(a)]. 75.75/76.04 27111 mult(mult(A,B),mult(A,mult(C,B))) = mult(A,mult(mult(mult(B,A),C),B)). [para(27004(a,1),59(a,2,2)),rewrite([19(4),43(4),19(5),19(9)])]. 75.75/76.04 27186 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(17596),rewrite([27100(13),20(14)])]. 75.75/76.04 27188 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [back_rewrite(26827),rewrite([27111(5),20(6)]),flip(a)]. 75.75/76.04 27194 mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)) = mult(mult(A,B),mult(mult(i(B),mult(C,A)),i(A))). [back_rewrite(17443),rewrite([27110(9)]),flip(a)]. 75.75/76.04 27285 mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))) = mult(i(C),mult(mult(C,A),B)). [para(27188(a,1),19(a,1,1)),rewrite([55(5),221(7)])]. 75.75/76.04 27288 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(20(a,1),27188(a,1,1,2,1)),rewrite([43(2),20(5)]),flip(a)]. 75.75/76.04 27295 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(mult(mult(mult(B,A),C),i(A)),mult(A,B)). [para(59(a,1),27188(a,1,1,2)),rewrite([20(7),17962(11)]),flip(a)]. 75.75/76.04 27296 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(59(a,1),27188(a,2,1)),rewrite([55(4),55(3),43(2),139(4),140(8),45(7),27194(7),140(11),45(10),140(9),13938(8),19(5),140(12),45(11)])]. 75.75/76.04 27301 mult(mult(mult(A,mult(mult(i(A),B),C)),i(B)),A) = mult(mult(B,C),mult(i(B),A)). [para(233(a,1),27188(a,1,1,2)),rewrite([43(2)]),flip(a)]. 75.75/76.04 27326 mult(mult(mult(A,mult(B,mult(A,C))),B),A) = mult(mult(A,mult(mult(B,A),C)),mult(B,A)). [para(24060(a,1),27188(a,1,1,2)),rewrite([20(6)]),flip(a)]. 75.75/76.04 27338 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(27188(a,1),10072(a,2,1)),rewrite([20(3),55(2),81(6),55(9),81(13)]),flip(a)]. 75.75/76.04 27342 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(27188(a,1),27004(a,1,1,2,1)),rewrite([19(5),53(9),140(8),26559(8)])]. 75.75/76.04 27346 mult(mult(A,mult(mult(B,A),C)),mult(i(C),i(A))) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(26905),rewrite([27285(14)])]. 75.75/76.04 27349 mult(mult(mult(A,B),C),mult(i(C),mult(mult(C,A),B))) = mult(mult(A,B),mult(mult(C,A),B)). [back_rewrite(24196),rewrite([27285(9),27338(11)])]. 75.75/76.04 27386 mult(mult(i(A),B),mult(mult(mult(mult(i(B),A),C),i(A)),B)) = mult(mult(C,i(A)),B). [para(233(a,1),27338(a,1,1,1)),flip(a)]. 75.75/76.04 27430 mult(mult(A,mult(B,mult(mult(C,A),B))),i(B)) = mult(A,mult(mult(B,C),A)). [para(27342(a,1),19(a,1,1))]. 75.75/76.04 27431 mult(A,mult(B,mult(C,mult(mult(mult(i(C),A),B),C)))) = mult(mult(A,mult(B,A)),mult(B,C)). [para(19(a,1),27342(a,1,1,2,1)),rewrite([26559(10)]),flip(a)]. 75.75/76.04 27433 mult(mult(A,mult(B,mult(C,B))),C) = mult(mult(A,B),mult(C,mult(B,C))). [para(20(a,1),27342(a,2,2,2,1)),rewrite([26559(6),45(3)])]. 75.75/76.04 27436 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [para(53(a,1),27342(a,1,1,2,1)),flip(a)]. 75.75/76.04 27477 mult(mult(A,mult(B,A)),mult(B,C)) = mult(A,mult(mult(B,mult(A,B)),C)). [back_rewrite(27431),rewrite([27436(6)]),flip(a)]. 75.75/76.04 27554 mult(mult(A,mult(B,i(C))),mult(C,B)) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(20(a,1),27433(a,2,2,2)),rewrite([139(4),20(5),1713(9)])]. 75.75/76.04 27558 mult(mult(A,mult(B,mult(B,i(C)))),C) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(45(a,1),27433(a,2,2,2)),rewrite([26559(6),139(4),20(5),27554(10)])]. 75.75/76.04 27622 mult(mult(A,i(B)),mult(mult(B,A),C)) = mult(i(B),mult(mult(B,mult(A,A)),C)). [para(20(a,1),27477(a,2,2,1,2)),rewrite([139(4),20(5),1713(8)])]. 75.75/76.04 27697 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)). [para(27288(a,1),59(a,2,2,1)),rewrite([43(8),140(7),20(8),43(12)])]. 75.75/76.04 27705 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(27288(a,1),179(a,2,1)),rewrite([139(3),23021(5),20(3),55(4),45(6),1901(4),55(5),45(7),55(12),45(14),19(12)])]. 75.75/76.04 27748 mult(mult(A,B),mult(mult(i(B),mult(C,A)),i(A))) = mult(i(B),mult(mult(B,A),C)). [para(27296(a,1),139(a,1,1)),rewrite([55(5),27346(7),55(11),27110(13)]),flip(a)]. 75.75/76.04 27749 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(A,mult(mult(B,mult(mult(C,B),A)),i(A))). [para(27296(a,1),59(a,2,2,1)),rewrite([140(7),53(8)])]. 75.75/76.04 27794 mult(A,mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),A))) = mult(i(B),mult(mult(B,mult(A,C)),A)). [para(27288(a,1),27296(a,2,2)),rewrite([20(3),55(2),20(8)])]. 75.75/76.04 27795 mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(27194),rewrite([27748(14)])]. 75.75/76.04 27809 mult(mult(A,mult(B,mult(C,mult(C,B)))),i(B)) = mult(A,mult(mult(B,i(A)),mult(A,mult(C,C)))). [para(1707(a,1),27430(a,1,1,2,2,1)),rewrite([1826(2),27558(11)])]. 75.75/76.04 28972 mult(mult(A,i(B)),mult(B,mult(B,mult(C,i(B))))) = mult(B,mult(mult(mult(i(B),A),mult(B,C)),i(B))). [para(139(a,1),17524(a,1,2,2)),rewrite([43(4),43(9)])]. 75.75/76.04 29034 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))). [para(17525(a,1),27705(a,1,2)),rewrite([43(4),19(5),43(9)])]. 75.75/76.04 29134 mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)) = mult(B,mult(mult(C,B),A)). [para(17962(a,1),27188(a,2)),rewrite([55(4),55(3),43(2),139(4),140(8),45(7),27795(7),140(8),45(7),27697(6),140(9),20(10)])]. 75.75/76.04 29139 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(27697),rewrite([29134(12)])]. 75.75/76.04 29143 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(29134(a,1),20(a,1,2)),rewrite([43(2)]),flip(a)]. 75.75/76.04 29147 mult(i(A),mult(mult(mult(A,B),C),A)) = mult(C,mult(mult(i(C),mult(B,C)),A)). [para(53(a,1),29134(a,1,2,1,1,2)),rewrite([141(8)])]. 75.75/76.04 29152 mult(A,mult(mult(B,mult(mult(C,B),A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(29134(a,1),60(a,2,2,1)),rewrite([53(4),20(6)]),flip(a)]. 75.75/76.04 29181 mult(mult(A,mult(mult(B,A),C)),mult(B,A)) = mult(A,mult(B,mult(mult(mult(A,C),B),A))). [back_rewrite(27326),rewrite([29143(5)]),flip(a)]. 75.75/76.04 29183 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [back_rewrite(27749),rewrite([29152(12)])]. 75.75/76.04 29193 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [para(45(a,1),29143(a,2,2,2,1)),rewrite([17962(5),27295(6)])]. 75.75/76.04 29194 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(53(a,1),29143(a,1,1,1,2)),rewrite([141(6)]),flip(a)]. 75.75/76.04 29211 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(1933(a,1),29143(a,1,1,1,2)),rewrite([23026(5),4482(13),17261(12)])]. 75.75/76.04 29241 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(B,mult(A,mult(C,B))). [back_rewrite(27295),rewrite([29193(12)])]. 75.75/76.04 29242 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(29034),rewrite([29194(12)])]. 75.75/76.04 29254 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(23024),rewrite([29211(6),139(3),60(5)])]. 75.75/76.04 29297 mult(mult(A,mult(mult(B,A),C)),i(C)) = mult(i(C),mult(mult(C,mult(A,B)),A)). [para(29139(a,1),27188(a,2,1)),rewrite([55(2),19(6),19(10),18436(8),27794(8)]),flip(a)]. 75.75/76.04 29300 mult(mult(mult(A,mult(B,C)),i(C)),A) = mult(i(C),mult(mult(C,mult(A,B)),A)). [para(27288(a,1),29139(a,2,2)),rewrite([55(2),139(6),24307(9),81(10),20(7)])]. 75.75/76.04 29444 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(29183(a,1),29193(a,1,1,1)),rewrite([19(5),45(9)])]. 75.75/76.04 29478 mult(A,mult(i(B),mult(mult(B,C),mult(i(B),A)))) = mult(mult(A,C),mult(i(B),A)). [para(20(a,1),29444(a,1,1,2)),flip(a)]. 75.75/76.04 29482 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(53(a,1),29444(a,1,1,2)),flip(a)]. 75.75/76.04 29685 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(29139(a,1),29242(a,1,2,2)),rewrite([20(6),53(9)]),flip(a)]. 75.75/76.04 29690 mult(mult(mult(A,B),mult(mult(C,B),A)),i(A)) = mult(mult(mult(A,B),C),B). [para(29685(a,1),19(a,1,1))]. 75.75/76.04 29709 mult(mult(A,B),mult(C,mult(C,A))) = mult(A,mult(mult(B,mult(C,C)),A)). [para(1707(a,1),29685(a,2,2,1)),rewrite([27558(6),19(3),140(4),1826(7)]),flip(a)]. 75.75/76.04 29740 mult(mult(A,mult(B,mult(B,A))),C) = mult(A,mult(B,mult(B,mult(A,C)))). [para(19(a,1),29709(a,1,1)),rewrite([26559(11),27436(11),1826(6)]),flip(a)]. 75.75/76.04 29826 mult(mult(A,mult(B,mult(B,mult(A,C)))),i(C)) = mult(A,mult(B,mult(B,A))). [para(29740(a,1),19(a,1,1))]. 75.75/76.04 29928 mult(mult(A,B),mult(mult(C,B),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(29254(a,1),29241(a,1,1)),rewrite([53(4),29685(4),53(8),55(10),55(8),43(11),141(10),27186(11),45(9)])]. 75.75/76.04 29961 mult(A,mult(mult(B,mult(C,mult(B,A))),i(A))) = mult(mult(mult(A,B),C),B). [back_rewrite(29690),rewrite([29928(4),139(6)])]. 75.75/76.04 29962 mult(mult(mult(mult(A,B),C),B),A) = mult(A,mult(B,mult(C,mult(B,A)))). [back_rewrite(29685),rewrite([29928(8)])]. 75.75/76.04 30020 mult(i(A),mult(mult(A,B),mult(C,mult(A,mult(B,i(A)))))) = mult(B,mult(mult(C,mult(A,B)),i(A))). [para(20(a,1),29928(a,1,1)),rewrite([139(10)]),flip(a)]. 75.75/76.04 30024 mult(A,mult(B,mult(mult(C,i(B)),mult(B,A)))) = mult(mult(A,B),mult(C,A)). [para(45(a,1),29928(a,1,2,1)),flip(a)]. 75.75/76.04 30034 mult(mult(A,B),mult(mult(i(B),mult(C,B)),A)) = mult(mult(A,C),mult(B,A)). [para(141(a,1),29928(a,1,2,1)),rewrite([29482(12)])]. 75.75/76.04 30081 mult(mult(mult(A,B),mult(C,A)),i(C)) = mult(A,mult(mult(B,mult(C,A)),i(C))). [para(20(a,1),29962(a,1,1,1,1)),rewrite([139(10),30020(13)])]. 75.75/76.04 30299 mult(i(A),mult(mult(mult(A,B),mult(C,mult(A,mult(B,i(A))))),A)) = mult(mult(B,C),mult(A,B)). [para(20(a,1),29961(a,2,1,1)),rewrite([139(5),43(9)])]. 75.75/76.04 30303 mult(mult(A,mult(B,mult(A,i(C)))),C) = mult(C,mult(mult(mult(i(C),A),B),A)). [para(29961(a,1),53(a,1,2)),rewrite([43(11)]),flip(a)]. 75.75/76.04 30324 mult(mult(mult(A,B),mult(C,C)),B) = mult(A,mult(B,mult(C,mult(C,B)))). [para(1826(a,1),29961(a,1,2,1,2)),rewrite([29826(6)]),flip(a)]. 75.75/76.04 30361 mult(mult(A,mult(B,mult(C,mult(C,B)))),i(B)) = mult(mult(A,B),mult(C,C)). [para(30324(a,1),19(a,1,1))]. 75.75/76.04 30364 mult(mult(A,mult(B,B)),mult(C,A)) = mult(A,mult(mult(B,mult(B,C)),A)). [para(20(a,1),30324(a,1,1,1)),rewrite([26751(10),20(11)])]. 75.75/76.04 30391 mult(A,mult(mult(B,i(A)),mult(A,mult(C,C)))) = mult(mult(A,B),mult(C,C)). [back_rewrite(27809),rewrite([30361(6)]),flip(a)]. 75.75/76.04 30667 mult(mult(A,B),mult(C,mult(A,mult(B,i(A))))) = mult(A,mult(B,mult(mult(C,mult(A,B)),i(A)))). [para(30024(a,1),60(a,1)),rewrite([140(4),45(3),28972(13),140(14),45(13),29482(12),30081(11)])]. 75.75/76.04 30692 mult(mult(A,mult(mult(B,mult(C,A)),i(C))),C) = mult(mult(A,B),mult(C,A)). [back_rewrite(30299),rewrite([30667(7),140(8),20(9)])]. 75.75/76.04 30713 mult(mult(A,mult(B,mult(C,C))),mult(i(C),A)) = mult(mult(A,i(C)),mult(mult(C,mult(B,C)),A)). [para(1901(a,1),30034(a,1,2,1,2)),rewrite([43(4)]),flip(a)]. 75.75/76.04 31005 mult(mult(A,mult(B,A)),mult(C,C)) = mult(A,mult(B,mult(A,mult(C,C)))). [para(19(a,1),30391(a,1,2,1)),flip(a)]. 75.75/76.04 31140 mult(mult(A,mult(B,mult(A,mult(C,C)))),i(C)) = mult(mult(A,mult(B,A)),C). [para(31005(a,1),1901(a,1,1))]. 75.75/76.04 31298 mult(A,mult(B,mult(mult(mult(i(B),C),mult(A,i(B))),B))) = mult(B,mult(mult(mult(i(B),A),C),A)). [para(30692(a,1),27436(a,1,2,2,1)),rewrite([45(14),30303(13)])]. 75.75/76.04 31501 mult(mult(mult(A,B),mult(C,mult(A,i(B)))),B) = mult(A,mult(mult(B,C),A)). [para(1635(a,1),31140(a,1,1,2,2)),rewrite([43(7),26559(10),27430(12)])]. 75.75/76.04 31606 mult(A,mult(A,mult(mult(mult(i(A),B),C),B))) = mult(mult(mult(A,B),C),B). [para(45(a,1),31501(a,1,1,2)),rewrite([55(6),43(5),30303(8)]),flip(a)]. 75.97/76.27 33326 mult(mult(A,i(B)),mult(mult(B,C),mult(A,B))) = mult(mult(A,mult(C,A)),B). [para(30034(a,1),27622(a,1,2)),rewrite([30364(14),53(11),20(12)])]. 75.97/76.27 33339 mult(mult(A,i(B)),mult(mult(B,mult(C,B)),A)) = mult(mult(A,C),mult(B,A)). [para(33326(a,1),20(a,1,2)),rewrite([55(3),43(2)])]. 75.97/76.27 33358 mult(mult(A,mult(B,mult(C,C))),mult(i(C),A)) = mult(mult(A,B),mult(C,A)). [back_rewrite(30713),rewrite([33339(12)])]. 75.97/76.27 33941 mult(i(A),mult(i(B),mult(mult(B,mult(A,C)),A))) = mult(i(B),mult(mult(B,C),A)). [para(19(a,1),29147(a,2,2,1,2)),rewrite([29300(6),43(10)])]. 75.97/76.27 34361 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [para(29297(a,1),24144(a,2,2,2)),rewrite([19(8),29181(6),20(7),33941(13),27349(11)]),flip(a)]. 75.97/76.27 34382 mult(i(A),mult(mult(A,B),mult(i(A),C))) = mult(mult(B,i(A)),C). [back_rewrite(27386),rewrite([34361(9),27301(8)])]. 75.97/76.27 34407 mult(mult(A,B),mult(i(C),A)) = mult(A,mult(mult(B,i(C)),A)). [back_rewrite(29478),rewrite([34382(6)]),flip(a)]. 75.97/76.27 34432 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [back_rewrite(33358),rewrite([34407(6),1901(4)]),flip(a)]. 75.97/76.27 34540 mult(A,mult(mult(mult(i(A),B),C),B)) = mult(B,mult(C,B)). [back_rewrite(31298),rewrite([34432(5),141(6),45(5),53(4)]),flip(a)]. 75.97/76.27 34905 mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))). [back_rewrite(31606),rewrite([34540(5)]),flip(a)]. 75.97/76.27 34906 $F # answer(goals). [resolve(34905,a,29,a)]. 75.97/76.27 75.97/76.27 % SZS output end Refutation 75.97/76.27 ============================== end of proof ========================== 75.97/76.27 75.97/76.27 ============================== PROOF ================================= 75.97/76.27 % SZS status Theorem 75.97/76.27 % SZS output start Refutation 75.97/76.27 75.97/76.27 % Proof 4 at 74.32 (+ 0.95) seconds: goals. 75.97/76.27 % Length of proof is 321. 75.97/76.27 % Level of proof is 41. 75.97/76.27 % Maximum clause weight is 57.000. 75.97/76.27 % Given clauses 982. 75.97/76.27 75.97/76.27 1 (all C all B all A mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A))) # label(f09) # label(axiom) # label(non_clause). [assumption]. 75.97/76.27 2 (all D all C all B all A mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D))))) # label(f07) # label(axiom) # label(non_clause). [assumption]. 75.97/76.27 3 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 75.97/76.27 4 (all B all A A = mult(mult(A,B),i(B))) # label(f11) # label(axiom) # label(non_clause). [assumption]. 75.97/76.27 5 (all B all A B = mult(i(A),mult(A,B))) # label(f10) # label(axiom) # label(non_clause). [assumption]. 75.97/76.27 6 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause). [assumption]. 75.97/76.27 7 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 75.97/76.27 9 (all D all C all B all A mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) = rd(mult(mult(mult(A,B),C),D),mult(C,D))) # label(f08) # label(axiom) # label(non_clause). [assumption]. 75.97/76.27 10 (all B all A mult(A,ld(A,B)) = B) # label(f01) # label(axiom) # label(non_clause). [assumption]. 75.97/76.27 11 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 75.97/76.27 12 -((all X6 all X7 all X8 mult(mult(X8,mult(X6,X7)),X8) = mult(mult(X8,X6),mult(X7,X8))) | (all X9 all X10 all X11 mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11))) | (all X3 all X4 all X5 mult(mult(mult(X3,X5),X4),X5) = mult(X3,mult(X5,mult(X4,X5)))) | (all X0 all X1 all X2 mult(mult(mult(X2,X0),X2),X1) = mult(X2,mult(X0,mult(X2,X1))))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption]. 75.97/76.27 13 mult(A,unit) = A # label(f05) # label(axiom). [clausify(3)]. 75.97/76.27 14 mult(unit,A) = A # label(f06) # label(axiom). [clausify(7)]. 75.97/76.27 15 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(6)]. 75.97/76.27 17 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(10)]. 75.97/76.27 18 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(11)]. 75.97/76.27 19 mult(mult(A,B),i(B)) = A # label(f11) # label(axiom). [clausify(4)]. 75.97/76.27 20 mult(i(A),mult(A,B)) = B # label(f10) # label(axiom). [clausify(5)]. 75.97/76.27 21 ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A))) # label(f09) # label(axiom). [clausify(1)]. 75.97/76.27 22 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)). [copy(21),flip(a)]. 75.97/76.27 23 ld(mult(A,B),mult(A,mult(B,mult(C,D)))) = mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) # label(f07) # label(axiom). [clausify(2)]. 75.97/76.27 24 mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D)))). [copy(23),flip(a)]. 75.97/76.27 25 rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) # label(f08) # label(axiom). [clausify(9)]. 75.97/76.27 26 mult(rd(mult(mult(A,B),C),mult(B,C)),rd(mult(mult(D,B),C),mult(B,C))) = rd(mult(mult(mult(A,D),B),C),mult(B,C)). [copy(25),flip(a)]. 75.97/76.27 30 mult(mult(mult(c12,c10),c12),c11) != mult(c12,mult(c10,mult(c12,c11))) # label(goals) # label(negated_conjecture) # answer(goals). [clausify(12)]. 75.97/76.27 36 ld(rd(A,B),A) = B. [para(15(a,1),18(a,1,2))]. 75.97/76.27 38 mult(A,i(A)) = unit. [para(14(a,1),19(a,1,1))]. 75.97/76.27 39 rd(A,B) = mult(A,i(B)). [para(15(a,1),19(a,1,1)),flip(a)]. 75.97/76.27 42 ld(mult(A,B),A) = i(B). [para(19(a,1),18(a,1,2))]. 75.97/76.27 43 i(i(A)) = A. [back_rewrite(36),rewrite([39(1),42(3)])]. 75.97/76.27 44 mult(mult(mult(mult(A,B),C),i(mult(B,C))),mult(mult(mult(D,B),C),i(mult(B,C)))) = mult(mult(mult(mult(A,D),B),C),i(mult(B,C))). [back_rewrite(26),rewrite([39(4),39(9),39(16)])]. 75.97/76.27 45 mult(mult(A,i(B)),B) = A. [back_rewrite(15),rewrite([39(1)])]. 75.97/76.27 46 mult(i(A),A) = unit. [para(13(a,1),20(a,1,2))]. 75.97/76.27 48 ld(A,B) = mult(i(A),B). [para(17(a,1),20(a,1,2)),flip(a)]. 75.97/76.27 49 mult(A,i(mult(B,A))) = i(B). [para(20(a,1),19(a,1,1))]. 75.97/76.27 51 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,D)))). [back_rewrite(24),rewrite([48(4),48(9),48(16)])]. 75.97/76.27 52 mult(mult(i(A),mult(B,A)),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(B,C),A)). [back_rewrite(22),rewrite([48(2),48(5),48(10)])]. 75.97/76.27 53 mult(A,mult(i(A),B)) = B. [back_rewrite(17),rewrite([48(1)])]. 75.97/76.27 55 i(mult(A,B)) = mult(i(B),i(A)). [para(19(a,1),49(a,1,2,1)),flip(a)]. 75.97/76.27 56 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),mult(mult(i(A),i(B)),mult(B,mult(A,D)))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,D)))). [back_rewrite(51),rewrite([55(2),55(8),55(15)])]. 75.97/76.27 57 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(mult(D,B),C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,D),B),C),mult(i(C),i(B))). [back_rewrite(44),rewrite([55(4),55(10),55(18)])]. 75.97/76.27 59 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(19(a,1),52(a,1,1,2)),rewrite([43(2),43(3),43(7)])]. 75.97/76.27 60 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(19(a,1),52(a,1,2,2)),rewrite([43(2),43(5),43(7)])]. 75.97/76.27 61 mult(mult(A,mult(B,i(A))),A) = mult(A,B). [para(19(a,1),52(a,2,2)),rewrite([43(2),43(5),38(5),13(5),43(6)])]. 75.97/76.27 72 mult(mult(i(A),B),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(mult(B,i(A)),C),A)). [para(45(a,1),52(a,1,1,2))]. 75.97/76.27 73 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(45(a,1),52(a,1,2,2))]. 75.97/76.27 75 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(mult(i(A),B),A)) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [para(53(a,1),52(a,1,2,2)),rewrite([55(3),43(3),55(9),43(9),55(13),43(13)])]. 75.97/76.27 80 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(55(a,1),19(a,1,2))]. 75.97/76.27 81 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(55(a,1),20(a,1,1))]. 75.97/76.27 82 mult(mult(A,B),mult(i(B),i(A))) = unit. [para(55(a,1),38(a,1,2))]. 75.97/76.27 83 mult(mult(i(A),i(B)),mult(B,A)) = unit. [para(55(a,1),46(a,1,1))]. 75.97/76.27 84 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(55(a,1),45(a,1,1,2))]. 75.97/76.27 85 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(55(a,1),53(a,1,2,1))]. 75.97/76.27 86 mult(mult(A,i(B)),mult(B,i(A))) = unit. [para(43(a,1),82(a,1,2,1))]. 75.97/76.27 87 mult(mult(i(A),B),mult(i(B),A)) = unit. [para(43(a,1),82(a,1,2,2))]. 75.97/76.27 94 mult(mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,D)))),mult(mult(mult(i(D),i(A)),i(B)),mult(B,A))) = mult(mult(i(A),i(B)),mult(B,mult(A,C))). [para(56(a,1),19(a,1,1)),rewrite([55(14),55(10),55(9),55(16),43(14),43(14)])]. 75.97/76.27 98 mult(mult(mult(A,i(B)),mult(B,C)),mult(mult(A,i(B)),mult(B,mult(i(A),D)))) = mult(mult(A,i(B)),mult(B,mult(i(A),mult(mult(A,C),D)))). [para(20(a,1),56(a,1,1,2,2)),rewrite([43(2),43(6),43(13)])]. 75.97/76.27 99 mult(mult(mult(A,i(B)),mult(B,mult(i(A),C))),mult(mult(A,i(B)),mult(B,D))) = mult(mult(A,i(B)),mult(B,mult(i(A),mult(C,mult(A,D))))). [para(20(a,1),56(a,1,2,2,2)),rewrite([43(2),43(8),43(13)])]. 75.97/76.27 100 mult(A,mult(mult(A,i(B)),mult(B,mult(i(A),C)))) = mult(mult(A,i(B)),mult(B,C)). [para(20(a,1),56(a,2,2,2)),rewrite([43(2),46(4),13(4),45(3),43(2),43(9)])]. 75.97/76.27 103 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),i(A)) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,i(A))))). [para(38(a,1),56(a,1,2,2,2)),rewrite([13(11),45(10)])]. 75.97/76.27 106 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),A) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [para(46(a,1),56(a,1,2,2)),rewrite([55(3),55(5),43(3),43(3),20(3),55(2),55(9),55(11),43(9),43(9),20(9),13(8),55(10),55(12),43(10),43(10),20(10),55(9)])]. 75.97/76.27 119 mult(mult(mult(i(A),mult(i(B),i(C))),mult(mult(C,B),mult(A,D))),mult(mult(i(A),mult(i(B),i(C))),mult(mult(C,B),mult(A,E)))) = mult(mult(i(A),mult(i(B),i(C))),mult(mult(C,B),mult(A,mult(D,E)))). [para(55(a,1),56(a,1,1,1,2)),rewrite([55(12),55(22)])]. 75.97/76.27 122 mult(i(A),mult(mult(A,B),mult(i(B),mult(i(A),C)))) = mult(i(A),mult(i(A),mult(mult(A,B),mult(i(B),C)))). [para(82(a,1),56(a,1,1,2)),rewrite([43(2),55(2),53(4),13(3),43(3),55(3),53(5),43(10),55(10),53(12)]),flip(a)]. 75.97/76.27 139 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(61(a,1),19(a,1,1))]. 75.97/76.27 140 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(19(a,1),61(a,1,1,2))]. 75.97/76.27 141 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(61(a,1),45(a,1,1)),rewrite([43(6)])]. 75.97/76.27 148 mult(A,mult(mult(mult(i(A),i(B)),mult(B,C)),A)) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(106),rewrite([140(7)])]. 75.97/76.27 149 mult(mult(c12,mult(c10,c12)),c11) != mult(c12,mult(c10,mult(c12,c11))) # answer(goals). [back_rewrite(30),rewrite([140(5)])]. 75.97/76.27 156 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [back_rewrite(75),rewrite([141(9)])]. 75.97/76.27 160 mult(mult(A,B),mult(i(B),mult(A,B))) = mult(A,mult(A,B)). [para(19(a,1),140(a,1,1)),flip(a)]. 75.97/76.27 161 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(140(a,1),20(a,1,2)),rewrite([55(2)])]. 75.97/76.27 162 mult(A,mult(mult(B,mult(B,A)),i(A))) = mult(mult(A,B),B). [para(20(a,1),140(a,2,2)),rewrite([139(3),60(5)])]. 75.97/76.27 170 mult(mult(A,mult(B,i(C))),mult(C,i(B))) = A. [para(43(a,1),80(a,1,2,1))]. 75.97/76.27 171 mult(mult(A,mult(i(B),C)),mult(i(C),B)) = A. [para(43(a,1),80(a,1,2,2))]. 75.97/76.27 178 mult(mult(mult(A,B),mult(i(B),C)),mult(mult(mult(D,i(C)),B),mult(i(B),C))) = mult(mult(mult(mult(mult(A,C),D),i(C)),B),mult(i(B),C)). [para(19(a,1),57(a,1,1,1,1)),rewrite([43(4),43(10),43(19)])]. 75.97/76.27 179 mult(mult(mult(mult(A,i(B)),C),mult(i(C),B)),mult(mult(D,C),mult(i(C),B))) = mult(mult(mult(mult(A,mult(D,B)),i(B)),C),mult(i(C),B)). [para(19(a,1),57(a,1,2,1,1)),rewrite([43(6),43(10),43(19)])]. 75.97/76.27 184 mult(mult(mult(mult(A,B),i(C)),mult(C,i(B))),mult(mult(mult(D,B),i(C)),mult(C,i(B)))) = mult(mult(mult(mult(A,D),B),i(C)),mult(C,i(B))). [para(43(a,1),57(a,1,1,2,1)),rewrite([43(11),43(19)])]. 75.97/76.27 193 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(D,C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,mult(D,i(B))),B),C),mult(i(C),i(B))). [para(45(a,1),57(a,1,2,1,1))]. 75.97/76.27 195 mult(mult(A,mult(mult(i(A),mult(B,C)),i(C))),mult(mult(mult(D,C),mult(mult(i(C),i(B)),A)),mult(mult(i(A),mult(B,C)),i(C)))) = mult(mult(mult(mult(B,D),C),mult(mult(i(C),i(B)),A)),mult(mult(i(A),mult(B,C)),i(C))). [para(53(a,1),57(a,1,1,1)),rewrite([55(2),55(5),55(5),43(3),43(3),55(9),55(14),55(17),55(17),43(15),43(15),55(23),55(28),55(31),55(31),43(29),43(29)])]. 75.97/76.27 201 mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(i(D),i(C)),i(B))),mult(mult(mult(E,B),mult(C,D)),mult(mult(i(D),i(C)),i(B)))) = mult(mult(mult(mult(A,E),B),mult(C,D)),mult(mult(i(D),i(C)),i(B))). [para(55(a,1),57(a,1,1,2,1)),rewrite([55(14),55(25)])]. 75.97/76.27 202 mult(mult(mult(mult(A,mult(B,C)),D),mult(i(D),mult(i(C),i(B)))),mult(mult(mult(E,mult(B,C)),D),mult(i(D),mult(i(C),i(B))))) = mult(mult(mult(mult(A,E),mult(B,C)),D),mult(i(D),mult(i(C),i(B)))). [para(55(a,1),57(a,1,1,2,2)),rewrite([55(15),55(26)])]. 75.97/76.27 208 mult(mult(mult(mult(i(A),B),i(C)),mult(C,A)),i(A)) = mult(i(A),mult(mult(mult(B,i(C)),mult(C,A)),i(A))). [para(83(a,1),57(a,1,1,1)),rewrite([55(3),43(6),45(5),14(3),55(7),43(10),45(9),55(16),43(19),45(18)]),flip(a)]. 75.97/76.27 210 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(mult(mult(mult(A,i(C)),i(B)),mult(B,C)),i(C)). [para(83(a,1),57(a,1,2,1)),rewrite([55(6),43(9),45(8),55(9),43(12),45(11),14(9),55(16),43(19),45(18)])]. 75.97/76.27 212 mult(mult(mult(mult(A,B),i(C)),mult(C,i(A))),A) = mult(A,mult(mult(mult(B,i(C)),mult(C,i(A))),A)). [para(86(a,1),57(a,1,1,1)),rewrite([55(4),43(3),43(5),45(4),14(2),55(8),43(7),43(9),45(8),55(16),43(15),43(17),45(16)]),flip(a)]. 75.97/76.27 221 mult(mult(mult(mult(A,B),C),A),mult(i(A),i(C))) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [para(140(a,1),57(a,1,1,1)),rewrite([80(6)]),flip(a)]. 75.97/76.27 233 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(43(a,1),81(a,1,1,2))]. 75.97/76.27 234 mult(mult(mult(i(A),i(B)),i(C)),mult(mult(C,mult(B,A)),D)) = D. [para(55(a,1),81(a,1,1,1))]. 75.97/76.27 249 mult(mult(A,B),mult(i(B),mult(i(B),i(A)))) = mult(A,mult(i(B),i(A))). [para(19(a,1),139(a,1,1)),rewrite([55(2),55(8)]),flip(a)]. 75.97/76.27 259 mult(mult(A,mult(B,i(A))),mult(mult(A,mult(i(B),i(A))),C)) = C. [para(139(a,1),85(a,1,1)),rewrite([43(5),55(5)])]. 75.97/76.27 260 mult(mult(A,B),mult(i(B),mult(i(A),B))) = B. [para(139(a,1),85(a,1,2)),rewrite([43(5),43(8)])]. 75.97/76.27 263 mult(mult(A,B),mult(mult(mult(i(B),mult(A,B)),C),mult(i(B),i(A)))) = mult(A,mult(mult(A,B),mult(C,mult(i(B),i(A))))). [para(19(a,1),59(a,1,1)),rewrite([55(3),55(14)]),flip(a)]. 75.97/76.27 264 mult(A,mult(mult(mult(B,A),mult(C,A)),i(A))) = mult(mult(A,B),mult(A,C)). [para(19(a,1),59(a,1,2,2)),flip(a)]. 75.97/76.27 266 mult(i(A),mult(mult(mult(A,mult(B,i(A))),C),A)) = mult(B,mult(i(A),mult(C,A))). [para(20(a,1),59(a,1,1)),rewrite([43(3),139(8),43(11)]),flip(a)]. 75.97/76.27 269 mult(A,mult(mult(mult(i(A),mult(B,A)),C),i(A))) = mult(B,mult(A,mult(C,i(A)))). [para(53(a,1),59(a,1,1)),rewrite([141(7)]),flip(a)]. 75.97/76.27 273 mult(A,mult(mult(mult(B,A),mult(i(A),C)),i(A))) = mult(mult(A,B),mult(C,i(A))). [para(140(a,1),59(a,1,2,2)),rewrite([53(6)]),flip(a)]. 75.97/76.27 292 mult(mult(i(A),B),mult(i(B),mult(A,B))) = B. [para(141(a,1),20(a,1,2)),rewrite([55(3),43(3)])]. 75.97/76.27 298 mult(mult(i(A),mult(B,A)),mult(mult(i(A),mult(i(B),A)),C)) = C. [para(141(a,1),85(a,1,1)),rewrite([55(7),43(7)])]. 75.97/76.27 300 mult(mult(i(A),mult(B,A)),mult(i(B),A)) = mult(mult(i(A),B),mult(A,mult(i(B),A))). [para(141(a,1),139(a,1,1)),rewrite([55(6),43(6),55(11),43(11)])]. 75.97/76.27 302 mult(mult(A,i(B)),mult(B,mult(i(A),B))) = B. [para(43(a,1),161(a,1,1,1))]. 75.97/76.27 303 mult(mult(i(A),B),mult(i(B),mult(A,i(B)))) = i(B). [para(43(a,1),161(a,1,1,2))]. 75.97/76.27 342 mult(i(A),mult(mult(B,mult(A,mult(C,i(A)))),A)) = mult(mult(i(A),mult(B,A)),C). [para(20(a,1),60(a,1,2)),rewrite([43(3),139(8),43(11)]),flip(a)]. 75.97/76.27 345 mult(A,mult(mult(B,mult(i(A),mult(C,A))),i(A))) = mult(mult(A,mult(B,i(A))),C). [para(53(a,1),60(a,1,2)),rewrite([141(7)]),flip(a)]. 75.97/76.27 346 mult(mult(i(A),i(B)),mult(B,mult(i(C),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),i(C)),i(B))). [para(60(a,1),55(a,1,1)),rewrite([55(6),55(5),43(2),55(3),55(2),139(8),55(10),55(15),55(14),43(13),139(15)]),flip(a)]. 75.97/76.27 352 mult(mult(A,mult(mult(mult(i(A),i(B)),i(C)),i(A))),mult(mult(A,mult(mult(C,mult(B,A)),i(A))),D)) = D. [para(60(a,1),81(a,1,2,1)),rewrite([55(2),55(7),55(6),43(5),139(7),346(8)])]. 75.97/76.27 399 mult(mult(A,mult(A,B)),mult(i(B),mult(i(A),B))) = mult(A,B). [para(20(a,1),260(a,1,2,2)),rewrite([55(4),141(6)])]. 75.97/76.27 403 mult(mult(A,B),mult(mult(i(B),mult(i(A),B)),mult(A,B))) = mult(B,mult(A,B)). [para(260(a,1),140(a,1,1)),flip(a)]. 75.97/76.27 420 mult(mult(i(A),B),mult(mult(A,B),mult(i(B),A))) = mult(i(A),mult(mult(B,A),A)). [para(292(a,1),140(a,2,2)),rewrite([300(6),156(10),141(11)])]. 75.97/76.27 680 mult(mult(mult(A,i(B)),mult(B,C)),mult(mult(mult(i(C),A),i(B)),mult(B,i(A)))) = A. [para(20(a,1),94(a,1,1,2,2)),rewrite([43(2),43(7),43(14),46(16),13(16),45(15)])]. 75.97/76.27 681 mult(mult(i(A),mult(i(B),mult(mult(B,A),mult(C,D)))),mult(mult(mult(i(D),mult(i(A),i(B))),B),A)) = mult(i(A),mult(i(B),mult(mult(B,A),C))). [para(20(a,1),94(a,1,2,2)),rewrite([55(2),43(5),45(4),55(10),43(14),55(17),43(20),45(19)])]. 75.97/76.27 685 mult(mult(mult(A,i(B)),i(C)),mult(C,B)) = mult(mult(i(B),i(C)),mult(C,mult(B,A))). [para(38(a,1),94(a,1,1,2,2,2)),rewrite([13(5),83(5),43(3),14(8)])]. 75.97/76.27 697 mult(mult(i(A),mult(B,mult(mult(i(B),A),mult(C,D)))),mult(mult(mult(i(D),mult(i(A),B)),i(B)),A)) = mult(i(A),mult(B,mult(mult(i(B),A),C))). [para(53(a,1),94(a,1,2,2)),rewrite([55(3),43(3),19(4),55(11),43(11),55(18),43(18),19(19)])]. 75.97/76.27 745 mult(mult(A,B),mult(mult(mult(i(B),i(C)),mult(i(B),i(A))),mult(mult(A,B),C))) = mult(mult(i(C),mult(i(B),i(A))),mult(mult(A,B),mult(C,A))). [para(161(a,1),94(a,1,1)),rewrite([55(6),55(15)])]. 75.97/76.27 844 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(mult(i(C),i(B)),mult(B,mult(C,mult(A,i(C))))). [back_rewrite(210),rewrite([685(14),103(16)])]. 75.97/76.27 866 mult(mult(i(A),B),mult(i(B),mult(i(B),A))) = mult(i(A),mult(i(B),A)). [para(160(a,1),233(a,1,2))]. 75.97/76.27 879 mult(mult(A,mult(A,i(B))),B) = mult(B,mult(mult(i(B),A),A)). [para(162(a,1),53(a,1,2)),rewrite([43(9)]),flip(a)]. 75.97/76.27 904 mult(i(A),mult(mult(mult(A,B),B),A)) = mult(B,mult(B,A)). [para(162(a,1),60(a,2,2,1)),rewrite([43(3),20(3),53(5),43(7)]),flip(a)]. 75.97/76.27 980 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(38(a,1),98(a,1,2,2,2)),rewrite([13(8),45(7),43(11),140(10),20(11)])]. 75.97/76.27 1140 mult(mult(A,i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(A,i(B)),mult(B,C))). [para(20(a,1),99(a,2,2,2)),rewrite([46(4),13(4),45(3)]),flip(a)]. 75.97/76.27 1143 mult(mult(A,B),mult(mult(i(B),mult(i(A),C)),mult(A,B))) = mult(mult(A,B),mult(i(B),mult(i(A),mult(C,mult(A,B))))). [para(46(a,1),99(a,1,2,2)),rewrite([43(2),43(8),13(9),140(8),43(10)])]. 75.97/76.27 1268 mult(mult(A,B),mult(i(B),mult(i(A),mult(B,mult(A,B))))) = mult(B,mult(A,B)). [back_rewrite(403),rewrite([1143(8)])]. 75.97/76.27 1314 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(i(A),mult(mult(A,i(B)),mult(B,C))). [para(100(a,1),20(a,1,2)),flip(a)]. 75.97/76.27 1317 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(38(a,1),100(a,1,2,2,2)),rewrite([13(4),45(3),43(5)]),flip(a)]. 75.97/76.27 1320 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(100(a,1),53(a,1,2)),rewrite([43(11)]),flip(a)]. 75.97/76.27 1344 mult(mult(mult(i(A),i(B)),mult(B,C)),A) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(100(a,1),141(a,1,1)),rewrite([43(12),1320(13),140(14),148(14),20(15)])]. 75.97/76.27 1357 mult(A,mult(mult(i(B),A),mult(i(A),mult(mult(B,mult(C,i(A))),A)))) = mult(mult(i(B),A),mult(mult(i(A),mult(B,A)),C)). [para(60(a,1),100(a,1,2,2)),rewrite([43(3),55(4),55(2),43(5),141(4),53(5),43(8),43(13),55(14),55(12),43(15),141(14),53(15),43(15)])]. 75.97/76.27 1376 mult(mult(A,i(B)),mult(B,B)) = mult(A,B). [para(302(a,1),100(a,1,2)),flip(a)]. 75.97/76.27 1529 mult(mult(mult(mult(A,i(B)),mult(B,C)),i(C)),i(C)) = mult(C,mult(mult(i(C),i(B)),mult(B,mult(A,i(C))))). [back_rewrite(844),rewrite([1320(16)])]. 75.97/76.27 1626 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(19(a,1),1317(a,1,1)),flip(a)]. 75.97/76.27 1628 mult(mult(A,mult(B,A)),B) = mult(A,mult(B,mult(A,B))). [para(20(a,1),1317(a,1,2)),rewrite([43(3),140(2),1626(6)])]. 75.97/76.27 1629 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(43(a,1),1317(a,1,1,2))]. 75.97/76.27 1630 mult(A,mult(mult(i(A),B),B)) = mult(B,B). [para(45(a,1),1317(a,1,2)),rewrite([55(3),43(2),879(4)])]. 75.97/76.27 1634 mult(mult(i(A),i(A)),mult(A,B)) = mult(i(A),B). [para(1317(a,1),84(a,1,1)),rewrite([43(8)])]. 75.97/76.27 1643 mult(mult(A,mult(i(B),A)),mult(i(A),mult(B,A))) = mult(A,A). [para(141(a,1),1317(a,1,2)),rewrite([55(3),43(3)])]. 75.97/76.27 1644 mult(mult(A,A),mult(i(A),B)) = mult(A,B). [para(1317(a,1),171(a,1,1)),rewrite([43(6)])]. 75.97/76.27 1656 mult(mult(A,A),mult(mult(i(A),i(B)),mult(A,A))) = mult(mult(A,i(B)),mult(A,A)). [para(1317(a,1),160(a,1,1)),rewrite([55(3),1317(8),1317(13)])]. 75.97/76.27 1703 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(420),rewrite([1629(6)])]. 75.97/76.27 1707 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [back_rewrite(879),rewrite([1630(8)])]. 75.97/76.27 1709 mult(mult(A,i(B)),mult(A,A)) = mult(A,mult(mult(i(B),A),A)). [back_rewrite(1656),rewrite([1703(6),1644(7)]),flip(a)]. 75.97/76.28 1713 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(19(a,1),1376(a,1,1)),flip(a)]. 75.97/76.28 1736 mult(mult(A,B),mult(i(B),mult(i(A),mult(B,B)))) = mult(B,B). [para(1376(a,1),260(a,1,1)),rewrite([55(3),55(7),43(6),1709(8),1713(7),1634(9)])]. 75.97/76.28 1793 mult(mult(mult(A,i(B)),mult(B,C)),mult(i(C),i(C))) = mult(C,mult(mult(i(C),i(B)),mult(B,mult(A,i(C))))). [back_rewrite(1529),rewrite([1713(8)])]. 75.97/76.28 1826 mult(mult(A,A),B) = mult(A,mult(A,B)). [back_rewrite(904),rewrite([1713(3),140(4),20(5)])]. 75.97/76.28 1901 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(1713(a,1),19(a,1,1))]. 75.97/76.28 1910 mult(mult(A,B),mult(A,A)) = mult(A,mult(B,mult(A,A))). [para(140(a,1),1713(a,1,1)),rewrite([140(3),1713(2)]),flip(a)]. 75.97/76.28 1933 mult(mult(i(A),B),mult(i(B),mult(A,A))) = A. [para(1713(a,1),233(a,1,2))]. 75.97/76.28 2877 mult(mult(A,mult(B,A)),mult(i(A),mult(i(B),A))) = mult(A,A). [para(260(a,1),1628(a,2,2,2)),rewrite([1143(8),1268(8),141(13),1713(12),1736(14)])]. 75.97/76.28 3590 mult(A,mult(mult(i(A),B),mult(i(B),mult(A,C)))) = mult(A,mult(A,mult(mult(i(A),B),mult(i(B),C)))). [para(87(a,1),119(a,1,1,2)),rewrite([43(2),43(3),53(3),13(2),43(2),43(3),53(3),43(9),43(10),53(10)]),flip(a)]. 75.97/76.28 3956 mult(mult(A,B),mult(i(B),mult(i(A),C))) = mult(i(A),mult(mult(A,B),mult(i(B),C))). [para(122(a,1),20(a,1,2)),rewrite([43(2),53(9)]),flip(a)]. 75.97/76.28 3957 mult(A,mult(B,mult(mult(i(B),i(A)),mult(A,C)))) = mult(A,mult(A,mult(B,mult(mult(i(B),i(A)),C)))). [para(20(a,1),122(a,1,2,1)),rewrite([43(2),55(2),43(5),43(9),43(9),20(10),55(9)])]. 75.97/76.28 4468 mult(mult(i(A),mult(i(B),i(B))),mult(B,A)) = mult(i(A),mult(i(B),A)). [para(399(a,1),20(a,1,2)),rewrite([55(3),55(2),1713(5)])]. 75.97/76.28 4482 mult(mult(i(A),mult(B,B)),mult(i(B),A)) = mult(i(A),mult(B,A)). [para(399(a,1),233(a,1,2)),rewrite([55(3),43(3),1713(3),43(9)])]. 75.97/76.28 9718 mult(mult(mult(A,i(B)),i(C)),mult(mult(C,mult(B,i(A))),D)) = D. [para(43(a,1),234(a,1,1,1,1))]. 75.97/76.28 10072 mult(mult(mult(A,B),mult(i(B),C)),C) = mult(mult(mult(A,C),B),mult(i(B),C)). [para(19(a,1),178(a,2,1,1)),rewrite([38(6),14(6),53(7)])]. 75.97/76.28 10081 mult(mult(mult(A,B),mult(i(B),i(C))),C) = mult(mult(mult(A,C),B),mult(i(B),i(C))). [para(45(a,1),178(a,2,1,1,1)),rewrite([43(7),1826(7),80(11),43(8)])]. 75.97/76.28 10657 mult(mult(mult(A,B),C),mult(i(C),A)) = mult(A,mult(mult(B,C),mult(i(C),A))). [para(38(a,1),179(a,1,1,1,1)),rewrite([14(2),53(3),139(9),19(8)]),flip(a)]. 75.97/76.28 11199 mult(mult(mult(mult(A,B),mult(A,C)),i(C)),i(A)) = mult(A,mult(mult(mult(B,mult(A,C)),i(C)),i(A))). [para(1707(a,1),184(a,1,1,1)),rewrite([43(3),55(3),53(5),1826(3),38(2),13(2),43(2),43(6),55(6),53(8),43(10),43(14),55(14),53(16)]),flip(a)]. 75.97/76.28 11901 mult(mult(mult(A,B),C),mult(i(C),i(A))) = mult(A,mult(mult(B,C),mult(i(C),i(A)))). [para(140(a,1),193(a,2,1,1)),rewrite([1826(2),80(6),45(9)]),flip(a)]. 75.97/76.28 13477 mult(mult(mult(mult(A,B),mult(i(C),A)),mult(i(A),mult(C,A))),i(A)) = mult(mult(A,mult(mult(B,mult(i(C),A)),i(A))),C). [para(1643(a,1),201(a,1,1,1)),rewrite([55(3),43(6),141(5),55(8),43(8),171(8),1826(3),38(2),13(2),55(9),43(12),141(11),55(14),43(14),171(14),345(10),55(17),43(20),141(19),55(22),43(22),171(22)]),flip(a)]. 75.97/76.28 13478 mult(mult(mult(mult(A,B),mult(i(C),B)),mult(i(B),mult(C,B))),i(B)) = mult(mult(A,mult(i(C),B)),mult(i(B),mult(C,B))). [para(1643(a,1),201(a,1,2,1)),rewrite([55(9),43(12),141(11),55(14),43(14),171(14),55(12),43(15),141(14),55(17),43(17),171(17),1826(12),38(11),13(11),45(10),55(17),43(20),141(19),55(22),43(22),171(22)]),flip(a)]. 75.97/76.28 13499 mult(mult(mult(mult(A,B),mult(C,A)),mult(i(A),mult(i(C),A))),i(A)) = mult(mult(A,mult(mult(B,mult(C,A)),i(A))),i(C)). [para(2877(a,1),201(a,1,1,1)),rewrite([55(4),43(4),43(5),141(4),55(6),80(8),1826(3),38(2),13(2),55(10),43(10),43(11),141(10),55(12),80(14),345(10),55(18),43(18),43(19),141(18),55(20),80(22)]),flip(a)]. 75.97/76.28 13500 mult(mult(mult(mult(A,B),mult(C,B)),mult(i(B),mult(i(C),B))),i(B)) = mult(mult(A,mult(C,B)),mult(i(B),mult(i(C),B))). [para(2877(a,1),201(a,1,2,1)),rewrite([55(10),43(10),43(11),141(10),55(12),80(14),55(13),43(13),43(14),141(13),55(15),80(17),1826(12),38(11),13(11),45(10),55(18),43(18),43(19),141(18),55(20),80(22)]),flip(a)]. 75.97/76.28 13837 mult(mult(mult(mult(A,B),mult(A,i(C))),C),i(A)) = mult(A,mult(mult(mult(B,mult(A,i(C))),C),i(A))). [para(1707(a,1),202(a,1,1,1)),rewrite([43(4),20(5),1826(3),38(2),13(2),43(7),20(8),43(15),20(16)]),flip(a)]. 75.97/76.28 13938 mult(mult(mult(i(A),B),i(C)),mult(C,A)) = mult(i(A),mult(mult(B,i(C)),mult(C,A))). [para(208(a,1),19(a,1,1)),rewrite([43(10),141(9),45(8)]),flip(a)]. 75.97/76.28 13964 mult(i(A),mult(mult(mult(B,i(C)),mult(C,A)),i(A))) = mult(mult(i(A),i(C)),mult(C,B)). [para(208(a,1),1901(a,2)),rewrite([13938(6),1910(10),1793(9),20(10),43(9),1344(8),45(6)]),flip(a)]. 75.97/76.28 14083 mult(mult(mult(A,B),i(C)),mult(C,i(A))) = mult(A,mult(mult(B,i(C)),mult(C,i(A)))). [para(212(a,1),19(a,1,1)),rewrite([139(9),19(8)]),flip(a)]. 75.97/76.28 14085 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [para(212(a,1),45(a,1,1)),rewrite([43(5),13964(8),1344(6),43(12),13938(12)])]. 75.97/76.28 14096 mult(mult(mult(A,i(B)),mult(B,C)),i(C)) = mult(C,mult(mult(i(C),i(B)),mult(B,A))). [para(212(a,1),139(a,2,2)),rewrite([43(6),13938(6),53(7),43(11),13964(14)])]. 75.97/76.28 15356 mult(mult(mult(mult(A,B),i(C)),A),mult(i(A),C)) = mult(A,mult(mult(mult(B,i(C)),A),mult(i(A),C))). [para(43(a,1),221(a,1,2,2)),rewrite([43(13)])]. 75.97/76.28 15357 mult(A,mult(mult(mult(mult(i(A),B),C),A),mult(i(A),i(C)))) = mult(mult(mult(B,C),A),mult(i(A),i(C))). [para(53(a,1),221(a,1,1,1,1)),flip(a)]. 75.97/76.28 17230 mult(mult(i(A),B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,i(A)),C),B)). [para(303(a,1),263(a,1,1)),rewrite([55(6),55(4),43(3),43(5),140(4),303(11),139(6),19(5),55(9),55(7),43(6),43(8),140(7),55(10),43(10),171(10),303(15),55(14),55(12),43(11),43(13),140(12),55(15),43(15),171(15)]),flip(a)]. 75.97/76.28 17261 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [back_rewrite(1357),rewrite([17230(9),980(8),45(6),53(7)]),flip(a)]. 75.97/76.28 17365 mult(mult(mult(A,B),mult(C,B)),i(B)) = mult(i(B),mult(mult(B,A),mult(B,C))). [para(264(a,1),20(a,1,2)),flip(a)]. 75.97/76.28 17443 mult(mult(A,B),mult(mult(i(B),mult(C,mult(A,B))),mult(i(B),i(A)))) = mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)). [para(249(a,1),264(a,2,1)),rewrite([84(8),55(7)])]. 75.97/76.28 17524 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(19(a,1),266(a,1,2,1,1,2)),flip(a)]. 75.97/76.28 17525 mult(mult(mult(A,mult(B,i(A))),C),A) = mult(A,mult(B,mult(i(A),mult(C,A)))). [para(266(a,1),20(a,1,2)),rewrite([43(2)]),flip(a)]. 75.97/76.28 17526 mult(mult(A,mult(i(B),mult(C,B))),i(B)) = mult(i(B),mult(mult(B,mult(A,i(B))),C)). [para(266(a,1),140(a,1,1)),rewrite([17525(12),139(14),345(14)])]. 75.97/76.28 17596 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(i(C),mult(mult(mult(C,A),mult(C,B)),i(B))). [back_rewrite(13500),rewrite([17526(10),17365(6),53(7)]),flip(a)]. 75.97/76.28 17597 mult(mult(A,mult(mult(B,mult(C,A)),i(A))),i(C)) = mult(A,mult(mult(mult(B,mult(A,C)),i(C)),i(A))). [back_rewrite(13499),rewrite([17596(8),140(10),11199(9),11199(8),20(10)]),flip(a)]. 75.97/76.28 17598 mult(mult(A,mult(i(B),C)),mult(i(C),mult(B,C))) = mult(i(C),mult(mult(mult(C,A),mult(C,i(B))),B)). [back_rewrite(13478),rewrite([17526(10),17365(7),53(8)]),flip(a)]. 75.97/76.28 17599 mult(mult(A,mult(mult(B,mult(i(C),A)),i(A))),C) = mult(A,mult(mult(mult(B,mult(A,i(C))),C),i(A))). [back_rewrite(13477),rewrite([17598(8),140(10),13837(9),13837(8),20(10)]),flip(a)]. 75.97/76.28 17961 mult(mult(mult(i(A),mult(B,A)),C),i(A)) = mult(i(A),mult(B,mult(A,mult(C,i(A))))). [para(269(a,1),20(a,1,2)),flip(a)]. 75.97/76.28 17962 mult(mult(A,mult(B,mult(C,i(B)))),B) = mult(B,mult(mult(i(B),mult(A,B)),C)). [para(269(a,1),140(a,1,1)),rewrite([17961(11),141(12),342(12)])]. 75.97/76.28 18435 mult(mult(mult(A,B),mult(i(B),C)),i(B)) = mult(i(B),mult(mult(B,A),mult(C,i(B)))). [para(273(a,1),20(a,1,2)),flip(a)]. 75.97/76.28 18436 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(273(a,1),53(a,1,2)),rewrite([43(4),43(9),43(11)]),flip(a)]. 75.97/76.28 19957 mult(mult(mult(A,mult(B,A)),mult(i(A),i(C))),C) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [para(866(a,1),195(a,1,2,1,2)),rewrite([43(2),43(2),43(4),43(4),55(5),55(4),1713(7),4468(9),140(8),19(7),80(6),43(4),17524(5),43(7),43(7),55(8),55(7),1713(10),4468(12),140(11),19(10),73(9),11901(7),140(8),10081(7),20(9),43(14),43(14),14085(15),38(12),14(13),17524(13),43(15),43(15),55(16),55(15),1713(18),4468(20),140(19),19(18),73(17),11901(15),140(10),140(16),20(17)]),flip(a)]. 75.97/76.28 22185 mult(mult(mult(A,i(B)),mult(B,i(C))),C) = mult(mult(mult(A,mult(B,i(C))),C),i(B)). [para(195(a,1),352(a,1,2)),rewrite([43(5),141(4),140(6),19(5),53(4),141(7),17524(8),140(13),19(12),73(11),14083(9),139(5),60(8),140(10),17599(9),20(11),20(9),141(11),17524(12),140(17),19(16),73(15),14083(13),140(14),20(15)]),flip(a)]. 75.97/76.28 23021 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(19(a,1),980(a,1,1,1)),rewrite([19(7)])]. 75.97/76.28 23024 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(20(a,1),980(a,1,1,2)),rewrite([43(2),43(5)]),flip(a)]. 75.97/76.28 23026 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(43(a,1),980(a,1,1,1,2)),rewrite([43(7)])]. 75.97/76.28 24060 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(19(a,1),1140(a,1,1)),rewrite([19(8)]),flip(a)]. 75.97/76.28 24143 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C)))) = mult(B,mult(A,C)). [para(24060(a,1),20(a,1,2)),rewrite([55(2),1320(8)])]. 75.97/76.28 24144 mult(i(A),mult(mult(A,B),mult(B,C))) = mult(B,mult(i(A),mult(mult(A,B),C))). [para(20(a,1),24060(a,1,1)),rewrite([20(10)]),flip(a)]. 75.97/76.28 24148 mult(A,mult(B,mult(mult(A,B),mult(i(B),C)))) = mult(mult(A,B),mult(A,C)). [para(53(a,1),24060(a,1,2,2)),flip(a)]. 75.97/76.28 24196 mult(mult(mult(A,B),C),mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C))))) = mult(mult(mult(mult(A,B),C),A),B). [para(221(a,1),24060(a,1,2)),rewrite([19(5),19(19),19(18),20(16)])]. 75.97/76.28 24307 mult(mult(A,mult(B,i(A))),mult(mult(A,B),C)) = mult(mult(A,B),mult(mult(B,mult(C,A)),i(A))). [para(139(a,1),24148(a,1,2,2,1)),rewrite([43(7),60(7),20(8),139(9)]),flip(a)]. 75.97/76.28 26132 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(19(a,1),10072(a,1,1,1)),rewrite([43(2),43(9)]),flip(a)]. 75.97/76.28 26135 mult(mult(mult(A,mult(B,C)),B),C) = mult(mult(mult(A,B),C),mult(B,C)). [para(20(a,1),10072(a,1,1,2)),rewrite([20(10)]),flip(a)]. 75.97/76.28 26218 mult(i(A),mult(mult(A,mult(B,C)),mult(A,C))) = mult(mult(B,mult(C,A)),C). [para(26135(a,1),19(a,1,1)),rewrite([17365(6)])]. 75.97/76.28 26559 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(26132(a,1),221(a,2,2,1)),rewrite([55(10),43(13),45(12),14096(10),24143(10),55(10),43(13),45(12),19(10)]),flip(a)]. 75.97/76.28 26751 mult(mult(A,B),mult(C,mult(C,mult(A,B)))) = mult(A,mult(B,mult(mult(C,mult(C,A)),B))). [para(1826(a,1),26559(a,1,2)),rewrite([1826(7)])]. 75.97/76.28 26825 mult(mult(mult(mult(A,mult(B,C)),i(C)),B),C) = mult(mult(A,B),mult(B,C)). [para(19(a,1),26218(a,2,1,2)),rewrite([43(2),72(8),53(9)])]. 75.97/76.28 26827 mult(i(A),mult(mult(A,B),mult(A,mult(C,B)))) = mult(mult(i(C),mult(mult(C,B),A)),mult(C,B)). [para(20(a,1),26218(a,1,2,1,2))]. 75.97/76.28 26868 mult(mult(mult(A,B),mult(i(A),i(C))),C) = mult(mult(A,mult(B,C)),mult(i(C),i(A))). [para(221(a,1),26218(a,2,1)),rewrite([43(2),19(6),73(8),53(9),139(15),18435(14),53(15)])]. 75.97/76.28 26905 mult(mult(A,mult(mult(B,A),C)),mult(i(C),i(A))) = mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))). [back_rewrite(19957),rewrite([26868(7)])]. 75.97/76.28 27004 mult(mult(A,mult(mult(B,mult(A,C)),i(C))),C) = mult(mult(A,B),mult(A,C)). [para(60(a,1),26825(a,1,1,1,1)),rewrite([17597(7),140(8),45(7),140(10),45(9)])]. 75.97/76.28 27100 mult(mult(mult(A,B),mult(A,C)),i(C)) = mult(A,mult(mult(B,mult(A,C)),i(C))). [para(27004(a,1),19(a,1,1))]. 75.97/76.28 27110 mult(mult(i(A),mult(B,mult(C,A))),mult(i(A),i(C))) = mult(mult(i(A),mult(B,C)),i(C)). [para(80(a,1),27004(a,1,1,2,1)),rewrite([43(3)]),flip(a)]. 75.97/76.28 27111 mult(mult(A,B),mult(A,mult(C,B))) = mult(A,mult(mult(mult(B,A),C),B)). [para(27004(a,1),59(a,2,2)),rewrite([19(4),43(4),19(5),19(9)])]. 75.97/76.28 27186 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(17596),rewrite([27100(13),20(14)])]. 75.97/76.28 27188 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [back_rewrite(26827),rewrite([27111(5),20(6)]),flip(a)]. 75.97/76.28 27194 mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)) = mult(mult(A,B),mult(mult(i(B),mult(C,A)),i(A))). [back_rewrite(17443),rewrite([27110(9)]),flip(a)]. 75.97/76.28 27285 mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))) = mult(i(C),mult(mult(C,A),B)). [para(27188(a,1),19(a,1,1)),rewrite([55(5),221(7)])]. 75.97/76.28 27288 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(20(a,1),27188(a,1,1,2,1)),rewrite([43(2),20(5)]),flip(a)]. 75.97/76.28 27295 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(mult(mult(mult(B,A),C),i(A)),mult(A,B)). [para(59(a,1),27188(a,1,1,2)),rewrite([20(7),17962(11)]),flip(a)]. 75.97/76.28 27296 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(59(a,1),27188(a,2,1)),rewrite([55(4),55(3),43(2),139(4),140(8),45(7),27194(7),140(11),45(10),140(9),13938(8),19(5),140(12),45(11)])]. 75.97/76.28 27299 mult(A,mult(mult(mult(B,i(C)),A),mult(i(A),C))) = mult(C,mult(mult(i(C),A),B)). [para(27188(a,1),171(a,1,1)),rewrite([15356(7),43(9)])]. 75.97/76.28 27301 mult(mult(mult(A,mult(mult(i(A),B),C)),i(B)),A) = mult(mult(B,C),mult(i(B),A)). [para(233(a,1),27188(a,1,1,2)),rewrite([43(2)]),flip(a)]. 75.97/76.28 27326 mult(mult(mult(A,mult(B,mult(A,C))),B),A) = mult(mult(A,mult(mult(B,A),C)),mult(B,A)). [para(24060(a,1),27188(a,1,1,2)),rewrite([20(6)]),flip(a)]. 75.97/76.28 27338 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(27188(a,1),10072(a,2,1)),rewrite([20(3),55(2),81(6),55(9),81(13)]),flip(a)]. 75.97/76.28 27342 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(27188(a,1),27004(a,1,1,2,1)),rewrite([19(5),53(9),140(8),26559(8)])]. 75.97/76.28 27346 mult(mult(A,mult(mult(B,A),C)),mult(i(C),i(A))) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(26905),rewrite([27285(14)])]. 75.97/76.28 27349 mult(mult(mult(A,B),C),mult(i(C),mult(mult(C,A),B))) = mult(mult(A,B),mult(mult(C,A),B)). [back_rewrite(24196),rewrite([27285(9),27338(11)])]. 75.97/76.28 27353 mult(mult(mult(A,B),C),mult(i(C),i(B))) = mult(i(B),mult(mult(B,C),mult(i(C),A))). [back_rewrite(15357),rewrite([27285(9)]),flip(a)]. 75.97/76.28 27355 mult(A,mult(i(B),mult(mult(B,A),mult(i(A),C)))) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(221),rewrite([27353(7),20(5),27353(10)]),flip(a)]. 75.97/76.28 27363 mult(mult(mult(mult(A,B),i(C)),A),mult(i(A),C)) = mult(C,mult(mult(i(C),A),B)). [back_rewrite(15356),rewrite([27299(14)])]. 75.97/76.28 27386 mult(mult(i(A),B),mult(mult(mult(mult(i(B),A),C),i(A)),B)) = mult(mult(C,i(A)),B). [para(233(a,1),27338(a,1,1,1)),flip(a)]. 75.97/76.28 27430 mult(mult(A,mult(B,mult(mult(C,A),B))),i(B)) = mult(A,mult(mult(B,C),A)). [para(27342(a,1),19(a,1,1))]. 75.97/76.28 27431 mult(A,mult(B,mult(C,mult(mult(mult(i(C),A),B),C)))) = mult(mult(A,mult(B,A)),mult(B,C)). [para(19(a,1),27342(a,1,1,2,1)),rewrite([26559(10)]),flip(a)]. 75.97/76.28 27433 mult(mult(A,mult(B,mult(C,B))),C) = mult(mult(A,B),mult(C,mult(B,C))). [para(20(a,1),27342(a,2,2,2,1)),rewrite([26559(6),45(3)])]. 75.97/76.28 27436 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [para(53(a,1),27342(a,1,1,2,1)),flip(a)]. 75.97/76.28 27477 mult(mult(A,mult(B,A)),mult(B,C)) = mult(A,mult(mult(B,mult(A,B)),C)). [back_rewrite(27431),rewrite([27436(6)]),flip(a)]. 75.97/76.28 27554 mult(mult(A,mult(B,i(C))),mult(C,B)) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(20(a,1),27433(a,2,2,2)),rewrite([139(4),20(5),1713(9)])]. 75.97/76.28 27558 mult(mult(A,mult(B,mult(B,i(C)))),C) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(45(a,1),27433(a,2,2,2)),rewrite([26559(6),139(4),20(5),27554(10)])]. 75.97/76.28 27622 mult(mult(A,i(B)),mult(mult(B,A),C)) = mult(i(B),mult(mult(B,mult(A,A)),C)). [para(20(a,1),27477(a,2,2,1,2)),rewrite([139(4),20(5),1713(8)])]. 75.97/76.28 27697 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)). [para(27288(a,1),59(a,2,2,1)),rewrite([43(8),140(7),20(8),43(12)])]. 75.97/76.28 27705 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(27288(a,1),179(a,2,1)),rewrite([139(3),23021(5),20(3),55(4),45(6),1901(4),55(5),45(7),55(12),45(14),19(12)])]. 75.97/76.28 27745 mult(A,mult(mult(mult(B,mult(i(C),i(A))),A),C)) = mult(mult(A,C),mult(i(C),B)). [para(45(a,1),27296(a,1,2,2)),rewrite([55(6)]),flip(a)]. 75.97/76.28 27748 mult(mult(A,B),mult(mult(i(B),mult(C,A)),i(A))) = mult(i(B),mult(mult(B,A),C)). [para(27296(a,1),139(a,1,1)),rewrite([55(5),27346(7),55(11),27110(13)]),flip(a)]. 75.97/76.28 27749 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(A,mult(mult(B,mult(mult(C,B),A)),i(A))). [para(27296(a,1),59(a,2,2,1)),rewrite([140(7),53(8)])]. 75.97/76.28 27752 mult(A,mult(mult(mult(B,mult(C,i(A))),A),i(C))) = mult(mult(A,i(C)),mult(C,B)). [para(170(a,1),27296(a,1,2,2)),rewrite([43(4)]),flip(a)]. 75.97/76.28 27794 mult(A,mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),A))) = mult(i(B),mult(mult(B,mult(A,C)),A)). [para(27288(a,1),27296(a,2,2)),rewrite([20(3),55(2),20(8)])]. 75.97/76.28 27795 mult(mult(A,mult(i(B),i(A))),mult(mult(A,B),C)) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(27194),rewrite([27748(14)])]. 75.97/76.28 27798 mult(mult(A,mult(B,mult(C,B))),i(B)) = mult(A,mult(mult(B,mult(C,i(A))),A)). [para(45(a,1),27430(a,1,1,2,2,1))]. 75.97/76.28 28972 mult(mult(A,i(B)),mult(B,mult(B,mult(C,i(B))))) = mult(B,mult(mult(mult(i(B),A),mult(B,C)),i(B))). [para(139(a,1),17524(a,1,2,2)),rewrite([43(4),43(9)])]. 75.97/76.28 29034 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))). [para(17525(a,1),27705(a,1,2)),rewrite([43(4),19(5),43(9)])]. 75.97/76.28 29134 mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)) = mult(B,mult(mult(C,B),A)). [para(17962(a,1),27188(a,2)),rewrite([55(4),55(3),43(2),139(4),140(8),45(7),27795(7),140(8),45(7),27697(6),140(9),20(10)])]. 75.97/76.28 29139 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(27697),rewrite([29134(12)])]. 75.97/76.28 29143 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(29134(a,1),20(a,1,2)),rewrite([43(2)]),flip(a)]. 75.97/76.28 29147 mult(i(A),mult(mult(mult(A,B),C),A)) = mult(C,mult(mult(i(C),mult(B,C)),A)). [para(53(a,1),29134(a,1,2,1,1,2)),rewrite([141(8)])]. 75.97/76.28 29152 mult(A,mult(mult(B,mult(mult(C,B),A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(29134(a,1),60(a,2,2,1)),rewrite([53(4),20(6)]),flip(a)]. 75.97/76.28 29181 mult(mult(A,mult(mult(B,A),C)),mult(B,A)) = mult(A,mult(B,mult(mult(mult(A,C),B),A))). [back_rewrite(27326),rewrite([29143(5)]),flip(a)]. 75.97/76.28 29183 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [back_rewrite(27749),rewrite([29152(12)])]. 75.97/76.28 29193 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [para(45(a,1),29143(a,2,2,2,1)),rewrite([17962(5),27295(6)])]. 75.97/76.28 29194 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(53(a,1),29143(a,1,1,1,2)),rewrite([141(6)]),flip(a)]. 75.97/76.28 29211 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(1933(a,1),29143(a,1,1,1,2)),rewrite([23026(5),4482(13),17261(12)])]. 75.97/76.28 29241 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(B,mult(A,mult(C,B))). [back_rewrite(27295),rewrite([29193(12)])]. 75.97/76.28 29242 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(29034),rewrite([29194(12)])]. 75.97/76.28 29254 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(23024),rewrite([29211(6),139(3),60(5)])]. 75.97/76.28 29297 mult(mult(A,mult(mult(B,A),C)),i(C)) = mult(i(C),mult(mult(C,mult(A,B)),A)). [para(29139(a,1),27188(a,2,1)),rewrite([55(2),19(6),19(10),18436(8),27794(8)]),flip(a)]. 75.97/76.28 29300 mult(mult(mult(A,mult(B,C)),i(C)),A) = mult(i(C),mult(mult(C,mult(A,B)),A)). [para(27288(a,1),29139(a,2,2)),rewrite([55(2),139(6),24307(9),81(10),20(7)])]. 75.97/76.28 29408 mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,A)))) = mult(mult(C,mult(A,i(B))),B). [para(259(a,1),29193(a,1,1,1)),rewrite([55(3),43(2),45(6),17525(12),1314(13),53(11)]),flip(a)]. 75.97/76.28 29409 mult(i(A),mult(i(B),mult(mult(B,A),mult(C,i(A))))) = mult(mult(C,mult(i(A),i(B))),B). [para(298(a,1),29193(a,1,1,1)),rewrite([55(2),19(7),17961(14),3956(15),20(13)]),flip(a)]. 75.97/76.28 29444 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(29183(a,1),29193(a,1,1,1)),rewrite([19(5),45(9)])]. 75.97/76.28 29478 mult(A,mult(i(B),mult(mult(B,C),mult(i(B),A)))) = mult(mult(A,C),mult(i(B),A)). [para(20(a,1),29444(a,1,1,2)),flip(a)]. 75.97/76.28 29482 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(53(a,1),29444(a,1,1,2)),flip(a)]. 75.97/76.28 29685 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(29139(a,1),29242(a,1,2,2)),rewrite([20(6),53(9)]),flip(a)]. 75.97/76.28 29690 mult(mult(mult(A,B),mult(mult(C,B),A)),i(A)) = mult(mult(mult(A,B),C),B). [para(29685(a,1),19(a,1,1))]. 75.97/76.28 29709 mult(mult(A,B),mult(C,mult(C,A))) = mult(A,mult(mult(B,mult(C,C)),A)). [para(1707(a,1),29685(a,2,2,1)),rewrite([27558(6),19(3),140(4),1826(7)]),flip(a)]. 75.97/76.28 29740 mult(mult(A,mult(B,mult(B,A))),C) = mult(A,mult(B,mult(B,mult(A,C)))). [para(19(a,1),29709(a,1,1)),rewrite([26559(11),27436(11),1826(6)]),flip(a)]. 75.97/76.28 29826 mult(mult(A,mult(B,mult(B,mult(A,C)))),i(C)) = mult(A,mult(B,mult(B,A))). [para(29740(a,1),19(a,1,1))]. 75.97/76.28 29928 mult(mult(A,B),mult(mult(C,B),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(29254(a,1),29241(a,1,1)),rewrite([53(4),29685(4),53(8),55(10),55(8),43(11),141(10),27186(11),45(9)])]. 75.97/76.28 29961 mult(A,mult(mult(B,mult(C,mult(B,A))),i(A))) = mult(mult(mult(A,B),C),B). [back_rewrite(29690),rewrite([29928(4),139(6)])]. 75.97/76.28 29962 mult(mult(mult(mult(A,B),C),B),A) = mult(A,mult(B,mult(C,mult(B,A)))). [back_rewrite(29685),rewrite([29928(8)])]. 75.97/76.28 30020 mult(i(A),mult(mult(A,B),mult(C,mult(A,mult(B,i(A)))))) = mult(B,mult(mult(C,mult(A,B)),i(A))). [para(20(a,1),29928(a,1,1)),rewrite([139(10)]),flip(a)]. 75.97/76.28 30024 mult(A,mult(B,mult(mult(C,i(B)),mult(B,A)))) = mult(mult(A,B),mult(C,A)). [para(45(a,1),29928(a,1,2,1)),flip(a)]. 75.97/76.28 30034 mult(mult(A,B),mult(mult(i(B),mult(C,B)),A)) = mult(mult(A,C),mult(B,A)). [para(141(a,1),29928(a,1,2,1)),rewrite([29482(12)])]. 75.97/76.28 30081 mult(mult(mult(A,B),mult(C,A)),i(C)) = mult(A,mult(mult(B,mult(C,A)),i(C))). [para(20(a,1),29962(a,1,1,1,1)),rewrite([139(10),30020(13)])]. 75.97/76.28 30124 mult(mult(A,B),mult(i(A),mult(mult(A,C),B))) = mult(mult(mult(A,B),C),B). [para(20(a,1),29482(a,1,2,2,2)),rewrite([43(4),20(11)])]. 75.97/76.28 30299 mult(i(A),mult(mult(mult(A,B),mult(C,mult(A,mult(B,i(A))))),A)) = mult(mult(B,C),mult(A,B)). [para(20(a,1),29961(a,2,1,1)),rewrite([139(5),43(9)])]. 75.97/76.28 30324 mult(mult(mult(A,B),mult(C,C)),B) = mult(A,mult(B,mult(C,mult(C,B)))). [para(1826(a,1),29961(a,1,2,1,2)),rewrite([29826(6)]),flip(a)]. 75.97/76.28 30364 mult(mult(A,mult(B,B)),mult(C,A)) = mult(A,mult(mult(B,mult(B,C)),A)). [para(20(a,1),30324(a,1,1,1)),rewrite([26751(10),20(11)])]. 75.97/76.28 30658 mult(mult(i(A),mult(B,A)),mult(C,mult(i(A),B))) = mult(mult(i(A),B),mult(A,mult(mult(C,i(A)),B))). [para(53(a,1),30024(a,1,2,2,2)),rewrite([141(10)]),flip(a)]. 75.97/76.28 30667 mult(mult(A,B),mult(C,mult(A,mult(B,i(A))))) = mult(A,mult(B,mult(mult(C,mult(A,B)),i(A)))). [para(30024(a,1),60(a,1)),rewrite([140(4),45(3),28972(13),140(14),45(13),29482(12),30081(11)])]. 75.97/76.28 30692 mult(mult(A,mult(mult(B,mult(C,A)),i(C))),C) = mult(mult(A,B),mult(C,A)). [back_rewrite(30299),rewrite([30667(7),140(8),20(9)])]. 75.97/76.28 30713 mult(mult(A,mult(B,mult(C,C))),mult(i(C),A)) = mult(mult(A,i(C)),mult(mult(C,mult(B,C)),A)). [para(1901(a,1),30034(a,1,2,1,2)),rewrite([43(4)]),flip(a)]. 75.97/76.28 31270 mult(mult(A,mult(B,mult(i(A),i(C)))),mult(C,A)) = mult(mult(A,mult(B,i(C))),C). [para(45(a,1),30692(a,1,1,2,1)),rewrite([55(6)]),flip(a)]. 75.97/76.28 31276 mult(mult(A,mult(B,mult(i(A),C))),mult(i(C),A)) = mult(mult(A,mult(B,C)),i(C)). [para(171(a,1),30692(a,1,1,2,1)),rewrite([43(2)]),flip(a)]. 75.97/76.28 31804 mult(mult(mult(A,i(B)),mult(B,i(C))),C) = mult(mult(mult(A,C),i(B)),mult(B,i(C))). [para(680(a,1),9718(a,1,2)),rewrite([55(5),43(4),43(8)])]. 75.97/76.28 31808 mult(mult(mult(A,mult(B,i(C))),C),i(B)) = mult(mult(mult(A,C),i(B)),mult(B,i(C))). [back_rewrite(22185),rewrite([31804(6)]),flip(a)]. 75.97/76.28 31810 mult(A,mult(mult(mult(B,A),i(C)),mult(C,i(A)))) = mult(mult(A,i(C)),mult(C,B)). [back_rewrite(27752),rewrite([31808(6)])]. 75.97/76.28 31886 mult(mult(mult(A,mult(i(B),i(C))),C),B) = mult(i(B),mult(i(C),mult(mult(C,B),A))). [para(20(a,1),681(a,1,2,1,1)),rewrite([29409(8),46(7),14(7)])]. 75.97/76.28 31888 mult(mult(mult(A,B),i(C)),mult(C,i(B))) = mult(C,mult(i(B),mult(mult(B,i(C)),A))). [para(53(a,1),681(a,1,2,1,1)),rewrite([43(2),29408(7),46(6),14(7),31808(6),43(8)])]. 75.97/76.28 31894 mult(mult(mult(A,i(B)),C),mult(i(C),B)) = mult(i(B),mult(mult(B,i(C)),mult(C,A))). [para(27477(a,1),681(a,1,2,1)),rewrite([55(4),43(4),141(6),30658(10),233(11),20(6),55(6),43(6),55(9),43(9),19(10),45(9),19(7),55(10),43(10),141(12),17261(14)])]. 75.97/76.28 31896 mult(i(A),mult(mult(A,B),mult(i(B),C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(10657(a,1),681(a,1,2)),rewrite([55(4),43(2),43(2),53(6),3956(7),29211(6),20(7),55(9),43(7),43(7),19(8),82(10),13(7),14096(6),55(10),43(8),43(8),53(12),3956(12)]),flip(a)]. 75.97/76.28 31902 mult(A,mult(i(B),mult(i(A),mult(mult(A,B),C)))) = mult(mult(A,B),mult(i(B),C)). [back_rewrite(27745),rewrite([31886(6)])]. 75.97/76.28 31904 mult(A,mult(B,mult(i(A),mult(mult(A,i(B)),C)))) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(31810),rewrite([31888(6)])]. 75.97/76.28 31915 mult(i(A),mult(mult(A,i(B)),mult(B,mult(B,C)))) = mult(A,mult(mult(i(A),B),C)). [back_rewrite(27363),rewrite([31894(7)])]. 75.97/76.28 31931 mult(A,mult(B,mult(mult(i(B),i(A)),mult(A,C)))) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(27355),rewrite([31896(6)])]. 75.97/76.28 31941 mult(A,mult(A,mult(B,mult(mult(i(B),i(A)),C)))) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(3957),rewrite([31931(7)]),flip(a)]. 75.97/76.28 32031 mult(mult(mult(A,mult(i(B),C)),i(C)),B) = mult(i(B),mult(C,mult(mult(i(C),B),A))). [para(38(a,1),697(a,1,1,2,2,2)),rewrite([13(5),53(4),46(2),43(3),14(8)])]. 75.97/76.28 32038 mult(i(A),mult(B,mult(mult(i(B),A),mult(C,A)))) = mult(mult(C,mult(A,i(B))),B). [para(29928(a,1),697(a,1,1,2,2)),rewrite([53(8),20(6),43(5),139(8),19(7),45(6)]),flip(a)]. 75.97/76.28 32603 mult(A,mult(B,mult(i(A),mult(mult(A,C),B)))) = mult(mult(A,mult(B,C)),B). [para(30124(a,1),24143(a,1,2,2,2)),rewrite([14085(8),27288(7),53(6)]),flip(a)]. 75.97/76.28 32778 mult(mult(i(A),B),mult(i(B),mult(A,mult(i(C),B)))) = mult(mult(i(C),mult(B,i(A))),A). [para(303(a,1),745(a,1,1)),rewrite([55(6),55(4),43(3),43(5),140(4),55(11),55(9),43(8),43(10),140(9),55(12),43(12),171(12),303(14),31894(10),31915(10),32038(8),55(11),55(9),43(8),43(10),140(9),55(12),43(12),171(12),303(14)]),flip(a)]. 75.97/76.28 33326 mult(mult(A,i(B)),mult(mult(B,C),mult(A,B))) = mult(mult(A,mult(C,A)),B). [para(30034(a,1),27622(a,1,2)),rewrite([30364(14),53(11),20(12)])]. 75.97/76.28 33339 mult(mult(A,i(B)),mult(mult(B,mult(C,B)),A)) = mult(mult(A,C),mult(B,A)). [para(33326(a,1),20(a,1,2)),rewrite([55(3),43(2)])]. 75.97/76.28 33358 mult(mult(A,mult(B,mult(C,C))),mult(i(C),A)) = mult(mult(A,B),mult(C,A)). [back_rewrite(30713),rewrite([33339(12)])]. 75.97/76.28 33657 mult(A,mult(i(B),mult(mult(B,mult(C,i(A))),A))) = mult(mult(A,mult(C,B)),i(B)). [para(27798(a,1),32603(a,1,2,2,2)),rewrite([20(8),20(11)])]. 75.97/76.28 33941 mult(i(A),mult(i(B),mult(mult(B,mult(A,C)),A))) = mult(i(B),mult(mult(B,C),A)). [para(19(a,1),29147(a,2,2,1,2)),rewrite([29300(6),43(10)])]. 75.97/76.28 34361 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [para(29297(a,1),24144(a,2,2,2)),rewrite([19(8),29181(6),20(7),33941(13),27349(11)]),flip(a)]. 75.97/76.28 34382 mult(i(A),mult(mult(A,B),mult(i(A),C))) = mult(mult(B,i(A)),C). [back_rewrite(27386),rewrite([34361(9),27301(8)])]. 75.97/76.28 34407 mult(mult(A,B),mult(i(C),A)) = mult(A,mult(mult(B,i(C)),A)). [back_rewrite(29478),rewrite([34382(6)]),flip(a)]. 75.97/76.28 34432 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [back_rewrite(33358),rewrite([34407(6),1901(4)]),flip(a)]. 75.97/76.28 34446 mult(mult(A,mult(B,C)),i(C)) = mult(C,mult(mult(i(C),A),B)). [back_rewrite(31276),rewrite([34432(7),32031(6),53(7)]),flip(a)]. 75.97/76.28 34513 mult(mult(A,i(B)),mult(B,mult(mult(C,A),B))) = mult(mult(A,mult(C,A)),B). [back_rewrite(33326),rewrite([34432(5)])]. 75.97/76.28 34545 mult(mult(A,mult(B,i(C))),C) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(31270),rewrite([34432(7),31886(6),53(7)]),flip(a)]. 75.97/76.28 34574 mult(A,mult(mult(B,mult(C,B)),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [back_rewrite(29928),rewrite([34432(4)])]. 75.97/76.28 34605 mult(mult(A,B),mult(i(B),C)) = mult(B,mult(mult(i(B),A),C)). [back_rewrite(33657),rewrite([34545(5),31902(7),34446(8)])]. 75.97/76.28 34748 mult(mult(i(A),i(B)),mult(B,C)) = mult(i(B),mult(mult(B,i(A)),C)). [back_rewrite(32778),rewrite([34605(8),14085(7),53(8),34545(10)])]. 75.97/76.28 34802 mult(mult(A,i(B)),mult(B,C)) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(3590),rewrite([34605(6),34748(5),31904(7),34605(9),31941(11)])]. 75.97/76.28 35429 mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))). [back_rewrite(34513),rewrite([34802(6),34432(5),34574(5),20(6)]),flip(a)]. 75.97/76.28 35430 $F # answer(goals). [resolve(35429,a,149,a)]. 75.97/76.28 75.97/76.28 % SZS output end Refutation 75.97/76.28 ============================== end of proof ========================== 75.97/76.28 75.97/76.28 ============================== STATISTICS ============================ 75.97/76.28 75.97/76.28 Given=982. Generated=1618949. Kept=35409. proofs=4. 75.97/76.28 Usable=470. Sos=7374. Demods=8370. Limbo=626, Disabled=26953. Hints=0. 75.97/76.28 Megabytes=40.39. 75.97/76.28 User_CPU=74.32, System_CPU=0.95, Wall_clock=75. 75.97/76.28 75.97/76.28 ============================== end of statistics ===================== 75.97/76.28 75.97/76.28 ============================== end of search ========================= 75.97/76.28 75.97/76.28 THEOREM PROVED 75.97/76.28 % SZS status Theorem 75.97/76.28 75.97/76.28 Exiting with 4 proofs. 75.97/76.28 75.97/76.28 Process 28272 exit (max_proofs) Mon Jul 3 10:51:55 2023 75.97/76.28 Prover9 interrupted 75.97/76.28 EOF