0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % Command : tptp2X_and_run_prover9 %d %s 0.13/0.35 % Computer : n003.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 06:38:21 EDT 2022 0.13/0.35 % CPUTime : 0.45/1.01 ============================== Prover9 =============================== 0.45/1.01 Prover9 (32) version 2009-11A, November 2009. 0.45/1.01 Process 16084 was started by sandbox2 on n003.cluster.edu, 0.45/1.01 Tue Aug 9 06:38:21 2022 0.45/1.01 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_15931_n003.cluster.edu". 0.45/1.01 ============================== end of head =========================== 0.45/1.01 0.45/1.01 ============================== INPUT ================================= 0.45/1.01 0.45/1.01 % Reading from file /tmp/Prover9_15931_n003.cluster.edu 0.45/1.01 0.45/1.01 set(prolog_style_variables). 0.45/1.01 set(auto2). 0.45/1.01 % set(auto2) -> set(auto). 0.45/1.01 % set(auto) -> set(auto_inference). 0.45/1.01 % set(auto) -> set(auto_setup). 0.45/1.01 % set(auto_setup) -> set(predicate_elim). 0.45/1.01 % set(auto_setup) -> assign(eq_defs, unfold). 0.45/1.01 % set(auto) -> set(auto_limits). 0.45/1.01 % set(auto_limits) -> assign(max_weight, "100.000"). 0.45/1.01 % set(auto_limits) -> assign(sos_limit, 20000). 0.45/1.01 % set(auto) -> set(auto_denials). 0.45/1.01 % set(auto) -> set(auto_process). 0.45/1.01 % set(auto2) -> assign(new_constants, 1). 0.45/1.01 % set(auto2) -> assign(fold_denial_max, 3). 0.45/1.01 % set(auto2) -> assign(max_weight, "200.000"). 0.45/1.01 % set(auto2) -> assign(max_hours, 1). 0.45/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.45/1.01 % set(auto2) -> assign(max_seconds, 0). 0.45/1.01 % set(auto2) -> assign(max_minutes, 5). 0.45/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.45/1.01 % set(auto2) -> set(sort_initial_sos). 0.45/1.01 % set(auto2) -> assign(sos_limit, -1). 0.45/1.01 % set(auto2) -> assign(lrs_ticks, 3000). 0.45/1.01 % set(auto2) -> assign(max_megs, 400). 0.45/1.01 % set(auto2) -> assign(stats, some). 0.45/1.01 % set(auto2) -> clear(echo_input). 0.45/1.01 % set(auto2) -> set(quiet). 0.45/1.01 % set(auto2) -> clear(print_initial_clauses). 0.45/1.01 % set(auto2) -> clear(print_given). 0.45/1.01 assign(lrs_ticks,-1). 0.45/1.01 assign(sos_limit,10000). 0.45/1.01 assign(order,kbo). 0.45/1.01 set(lex_order_vars). 0.45/1.01 clear(print_given). 0.45/1.01 0.45/1.01 % formulas(sos). % not echoed (15 formulas) 0.45/1.01 0.45/1.01 ============================== end of input ========================== 0.45/1.01 0.45/1.01 % From the command line: assign(max_seconds, 960). 0.45/1.01 0.45/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.45/1.01 0.45/1.01 % Formulas that are not ordinary clauses: 0.45/1.01 1 (all B all A mult(mult(A,B),i(B)) = A) # label(f08) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 2 (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(f10) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 3 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 4 (all C all B all A ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A)))) # label(f11) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 5 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 6 (all X0 all X1 all X2 (mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(X1,mult(X2,X1))) -> mult(X1,mult(X0,mult(X1,X2))) = mult(mult(mult(X1,X0),X1),X2))) # label(f12) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 7 (all B all A mult(i(A),mult(A,B)) = B) # label(f07) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 8 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 9 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 10 (all X3 all X4 all X5 (mult(mult(X3,X4),mult(X5,X3)) = mult(mult(X3,mult(X4,X5)),X3) -> mult(mult(mult(X3,X4),X3),X5) = mult(X3,mult(X4,mult(X3,X5))))) # label(f13) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 11 (all X6 all X7 all X8 (mult(mult(X6,X7),mult(X8,X6)) = mult(X6,mult(mult(X7,X8),X6)) -> mult(mult(mult(X6,X7),X6),X8) = mult(X6,mult(X7,mult(X6,X8))))) # label(f14) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 12 (all D all C all B all A 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(f09) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 13 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 0.45/1.01 14 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 96.50/96.77 ============================== end of process non-clausal formulas === 96.50/96.77 96.50/96.77 ============================== PROCESS INITIAL CLAUSES =============== 96.50/96.77 96.50/96.77 ============================== PREDICATE ELIMINATION ================= 96.50/96.77 96.50/96.77 ============================== end predicate elimination ============= 96.50/96.77 96.50/96.77 Auto_denials: 96.50/96.77 % copying label goals to answer in negative clause 96.50/96.77 96.50/96.77 Term ordering decisions: 96.50/96.77 96.50/96.77 % Assigning unary symbol i kb_weight 0 and highest precedence (9). 96.50/96.77 Function symbol KB weights: unit=1. a=1. b=1. c=1. mult=1. ld=1. rd=1. i=0. 96.50/96.77 96.50/96.77 ============================== end of process initial clauses ======== 96.50/96.77 96.50/96.77 ============================== CLAUSES FOR SEARCH ==================== 96.50/96.77 96.50/96.77 ============================== end of clauses for search ============= 96.50/96.77 96.50/96.77 ============================== SEARCH ================================ 96.50/96.77 96.50/96.77 % Starting search at 0.01 seconds. 96.50/96.77 96.50/96.77 Low Water (keep): wt=99.000, iters=3333 96.50/96.77 96.50/96.77 Low Water (keep): wt=97.000, iters=3372 96.50/96.77 96.50/96.77 Low Water (keep): wt=93.000, iters=3348 96.50/96.77 96.50/96.77 Low Water (keep): wt=90.000, iters=3365 96.50/96.77 96.50/96.77 Low Water (keep): wt=82.000, iters=3353 96.50/96.77 96.50/96.77 Low Water (keep): wt=80.000, iters=3354 96.50/96.77 96.50/96.77 Low Water (keep): wt=79.000, iters=3368 96.50/96.77 96.50/96.77 Low Water (keep): wt=76.000, iters=3349 96.50/96.77 96.50/96.77 Low Water (keep): wt=75.000, iters=3358 96.50/96.77 96.50/96.77 Low Water (keep): wt=73.000, iters=3381 96.50/96.77 96.50/96.77 Low Water (keep): wt=72.000, iters=3383 96.50/96.77 96.50/96.77 Low Water (keep): wt=69.000, iters=3335 96.50/96.77 96.50/96.77 Low Water (keep): wt=67.000, iters=3431 96.50/96.77 96.50/96.77 Low Water (keep): wt=65.000, iters=3355 96.50/96.77 96.50/96.77 Low Water (keep): wt=64.000, iters=3356 96.50/96.77 96.50/96.77 Low Water (keep): wt=63.000, iters=3343 96.50/96.77 96.50/96.77 Low Water (keep): wt=62.000, iters=3353 96.50/96.77 96.50/96.77 Low Water (keep): wt=61.000, iters=3351 96.50/96.77 96.50/96.77 Low Water (keep): wt=60.000, iters=3382 96.50/96.77 96.50/96.77 Low Water (keep): wt=59.000, iters=3390 96.50/96.77 96.50/96.77 Low Water (keep): wt=57.000, iters=3333 96.50/96.77 96.50/96.77 Low Water (keep): wt=56.000, iters=3412 96.50/96.77 96.50/96.77 Low Water (keep): wt=55.000, iters=3363 96.50/96.77 96.50/96.77 Low Water (keep): wt=54.000, iters=3385 96.50/96.77 96.50/96.77 Low Water (keep): wt=53.000, iters=3337 96.50/96.77 96.50/96.77 Low Water (keep): wt=52.000, iters=3365 96.50/96.77 96.50/96.77 Low Water (keep): wt=51.000, iters=3370 96.50/96.77 96.50/96.77 Low Water (keep): wt=50.000, iters=3341 96.50/96.77 96.50/96.77 Low Water (keep): wt=49.000, iters=3344 96.50/96.77 96.50/96.77 Low Water (keep): wt=47.000, iters=3407 96.50/96.77 96.50/96.77 Low Water (keep): wt=46.000, iters=3342 96.50/96.77 96.50/96.77 Low Water (keep): wt=45.000, iters=3349 96.50/96.77 96.50/96.77 Low Water (keep): wt=44.000, iters=3347 96.50/96.77 96.50/96.77 Low Water (keep): wt=43.000, iters=3343 96.50/96.77 96.50/96.77 Low Water (keep): wt=42.000, iters=3386 96.50/96.77 96.50/96.77 Low Water (keep): wt=41.000, iters=3333 96.50/96.77 96.50/96.77 Low Water (keep): wt=40.000, iters=3383 96.50/96.77 96.50/96.77 Low Water (keep): wt=39.000, iters=3343 96.50/96.77 96.50/96.77 Low Water (keep): wt=38.000, iters=3335 96.50/96.77 96.50/96.77 Low Water (keep): wt=37.000, iters=3341 96.50/96.77 96.50/96.77 Low Water (keep): wt=36.000, iters=3342 96.50/96.77 96.50/96.77 Low Water (displace): id=5492, wt=181.000 96.50/96.77 96.50/96.77 Low Water (displace): id=6004, wt=174.000 96.50/96.77 96.50/96.77 Low Water (displace): id=5791, wt=173.000 96.50/96.77 96.50/96.77 Low Water (displace): id=6120, wt=166.000 96.50/96.77 96.50/96.77 Low Water (displace): id=2269, wt=151.000 96.50/96.77 96.50/96.77 Low Water (displace): id=13147, wt=33.000 96.50/96.77 96.50/96.77 Low Water (displace): id=13188, wt=30.000 96.50/96.77 96.50/96.77 Low Water (keep): wt=35.000, iters=3337 96.50/96.77 96.50/96.77 Low Water (displace): id=13408, wt=29.000 96.50/96.77 96.50/96.77 Low Water (displace): id=13556, wt=28.000 96.50/96.77 96.50/96.77 Low Water (displace): id=13693, wt=26.000 96.50/96.77 96.50/96.77 Low Water (displace): id=13706, wt=23.000 96.50/96.77 96.50/96.77 Low Water (keep): wt=34.000, iters=3338 96.50/96.77 96.50/96.77 Low Water (keep): wt=33.000, iters=3334 96.50/96.77 96.50/96.77 Low Water (displace): id=15198, wt=22.000 96.50/96.77 96.50/96.77 Low Water (keep): wt=32.000, iters=3355 96.50/96.77 96.50/96.77 Low Water (displace): id=19321, wt=21.000 96.50/96.77 96.50/96.77 Low Water (keep): wt=31.000, iters=3338 96.50/96.77 96.50/96.77 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 51 (0.00 of 21.50 sec). 96.50/96.77 96.50/96.77 Low Water (keep): wt=30.000, iters=3353 96.50/96.77 96.50/96.77 Low Water (keep): wt=29.000, iters=3338 96.50/96.77 96.50/96.77 Low Water (keep): wt=28.000, iters=3413 96.50/96.77 96.50/96.77 Low Water (keep): wt=27.000, iters=3338 96.50/96.77 96.50/96.77 Low Water (keep): wt=26.000, iters=3334 96.50/96.77 96.50/96.77 ============================== PROOF ================================= 96.50/96.77 % SZS status Theorem 96.50/96.77 % SZS output start Refutation 96.50/96.77 96.50/96.77 % Proof 1 at 94.40 (+ 1.38) seconds: goals. 96.50/96.77 % Length of proof is 247. 96.50/96.77 % Level of proof is 35. 96.50/96.77 % Maximum clause weight is 42.000. 96.50/96.77 % Given clauses 1282. 96.50/96.77 96.50/96.77 1 (all B all A mult(mult(A,B),i(B)) = A) # label(f08) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 2 (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(f10) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 3 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 4 (all C all B all A ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A)))) # label(f11) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 5 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 7 (all B all A mult(i(A),mult(A,B)) = B) # label(f07) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 8 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 9 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 10 (all X3 all X4 all X5 (mult(mult(X3,X4),mult(X5,X3)) = mult(mult(X3,mult(X4,X5)),X3) -> mult(mult(mult(X3,X4),X3),X5) = mult(X3,mult(X4,mult(X3,X5))))) # label(f13) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 12 (all D all C all B all A 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(f09) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 14 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 96.50/96.77 15 mult(A,unit) = A # label(f05) # label(axiom). [clausify(8)]. 96.50/96.77 16 mult(unit,A) = A # label(f06) # label(axiom). [clausify(14)]. 96.50/96.77 17 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(3)]. 96.50/96.77 18 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(5)]. 96.50/96.77 19 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(9)]. 96.50/96.77 21 mult(mult(A,B),i(B)) = A # label(f08) # label(axiom). [clausify(1)]. 96.50/96.77 22 mult(i(A),mult(A,B)) = B # label(f07) # label(axiom). [clausify(7)]. 96.50/96.77 23 ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A))) # label(f11) # label(axiom). [clausify(4)]. 96.50/96.77 24 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)). [copy(23),flip(a)]. 96.50/96.77 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(f10) # label(axiom). [clausify(2)]. 96.50/96.77 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)]. 96.50/96.77 27 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(f09) # label(axiom). [clausify(12)]. 96.50/96.77 28 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(27),flip(a)]. 96.50/96.77 29 mult(mult(mult(a,b),a),c) != mult(a,mult(b,mult(a,c))) # label(goals) # label(negated_conjecture) # answer(goals). [assumption]. 96.50/96.77 31 mult(mult(A,mult(B,C)),A) != mult(mult(A,B),mult(C,A)) | mult(mult(mult(A,B),A),C) = mult(A,mult(B,mult(A,C))) # label(f13) # label(axiom). [clausify(10)]. 96.50/96.77 36 ld(rd(A,B),A) = B. [para(18(a,1),17(a,1,2))]. 96.50/96.77 40 mult(A,i(A)) = unit. [para(16(a,1),21(a,1,1))]. 96.50/96.77 41 ld(mult(A,B),A) = i(B). [para(21(a,1),17(a,1,2))]. 96.50/96.77 42 rd(A,B) = mult(A,i(B)). [para(18(a,1),21(a,1,1)),flip(a)]. 96.50/96.77 45 i(i(A)) = A. [back_rewrite(36),rewrite([42(1),41(3)])]. 96.50/96.77 46 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([42(4),42(9),42(16)])]. 96.50/96.77 47 mult(mult(A,i(B)),B) = A. [back_rewrite(18),rewrite([42(1)])]. 96.50/96.77 48 mult(i(A),A) = unit. [para(15(a,1),22(a,1,2))]. 96.50/96.77 51 ld(A,B) = mult(i(A),B). [para(19(a,1),22(a,1,2)),flip(a)]. 96.50/96.77 52 mult(A,i(mult(B,A))) = i(B). [para(22(a,1),21(a,1,1))]. 96.50/96.77 54 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(28),rewrite([51(4),51(9),51(16)])]. 96.50/96.77 55 mult(mult(i(A),mult(B,A)),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(B,C),A)). [back_rewrite(24),rewrite([51(2),51(5),51(10)])]. 96.50/96.77 56 mult(A,mult(i(A),B)) = B. [back_rewrite(19),rewrite([51(1)])]. 96.50/96.77 65 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(15(a,1),31(a,1,1,2)),rewrite([16(5),15(9),15(9)]),xx(a)]. 96.50/96.77 66 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(15(a,1),31(a,2,1)),rewrite([16(2),65(2),15(7),16(10)]),xx(a)]. 96.50/96.77 81 mult(mult(a,mult(b,a)),c) != mult(a,mult(b,mult(a,c))) # answer(goals). [back_rewrite(29),rewrite([65(5)])]. 96.50/96.77 83 i(mult(A,B)) = mult(i(B),i(A)). [para(21(a,1),52(a,1,2,1)),flip(a)]. 96.50/96.77 85 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(54),rewrite([83(2),83(8),83(15)])]. 96.50/96.77 86 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(46),rewrite([83(4),83(10),83(18)])]. 96.50/96.77 88 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(21(a,1),55(a,1,1,2)),rewrite([45(2),45(3),45(7)])]. 96.50/96.77 89 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(21(a,1),55(a,1,2,2)),rewrite([45(2),45(5),45(7)])]. 96.50/96.77 91 mult(mult(mult(i(A),i(B)),A),mult(mult(i(A),i(B)),mult(C,mult(B,A)))) = mult(mult(i(A),i(B)),mult(mult(i(B),C),mult(B,A))). [para(22(a,1),55(a,1,1,2)),rewrite([83(2),83(6),83(13)])]. 96.50/96.77 92 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(mult(i(A),i(B)),A)) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [para(22(a,1),55(a,1,2,2)),rewrite([83(2),83(8),83(13)])]. 96.50/96.77 99 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(47(a,1),55(a,1,2,2))]. 96.50/96.77 102 mult(mult(mult(i(A),mult(B,C)),mult(B,mult(mult(i(C),i(B)),A))),mult(mult(i(A),mult(B,C)),mult(C,mult(mult(i(C),i(B)),A)))) = mult(mult(i(A),mult(B,C)),A). [para(56(a,1),55(a,2,2)),rewrite([83(2),83(5),83(5),45(3),45(3),83(5),83(11),83(14),83(14),45(12),45(12),83(14),83(21),83(24),83(24),45(22),45(22)])]. 96.50/96.77 106 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(83(a,1),21(a,1,2))]. 96.50/96.77 107 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(83(a,1),22(a,1,1))]. 96.50/96.77 110 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(83(a,1),47(a,1,1,2))]. 96.50/96.77 111 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(83(a,1),56(a,1,2,1))]. 96.50/96.77 112 mult(mult(A,mult(B,A)),i(A)) = mult(A,B). [para(65(a,1),21(a,1,1))]. 96.50/96.77 114 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(65(a,1),22(a,1,2)),rewrite([83(2)])]. 96.50/96.77 120 mult(mult(A,mult(A,B)),i(B)) = mult(A,A). [para(66(a,1),21(a,1,1))]. 96.50/96.77 121 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [para(66(a,1),47(a,1,1))]. 96.50/96.77 168 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(21(a,1),112(a,1,1,2)),rewrite([45(4)])]. 96.50/96.77 170 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(47(a,1),112(a,1,1,2))]. 96.50/96.77 174 mult(mult(A,mult(B,A)),mult(B,A)) = mult(mult(A,B),mult(A,mult(B,A))). [para(112(a,1),65(a,1,1)),rewrite([22(10)]),flip(a)]. 96.50/96.77 182 mult(mult(mult(i(A),mult(B,C)),mult(B,mult(mult(i(C),i(B)),A))),mult(mult(i(A),mult(B,C)),mult(C,mult(mult(i(C),i(B)),A)))) = mult(i(A),mult(mult(B,C),A)). [back_rewrite(102),rewrite([168(23)])]. 96.50/96.77 185 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(i(A),mult(i(B),A))) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(92),rewrite([168(10)])]. 96.50/96.77 186 mult(mult(i(A),mult(i(B),A)),mult(mult(i(A),i(B)),mult(C,mult(B,A)))) = mult(mult(i(A),i(B)),mult(mult(i(B),C),mult(B,A))). [back_rewrite(91),rewrite([168(4)])]. 96.50/96.77 213 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(56(a,1),120(a,1,1,2)),rewrite([83(4),45(4)])]. 96.50/96.77 233 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(21(a,1),213(a,1,1)),rewrite([45(2)]),flip(a)]. 96.50/96.77 235 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(45(a,1),213(a,1,2,1))]. 96.50/96.77 236 mult(A,mult(mult(i(A),B),B)) = mult(B,B). [para(56(a,1),213(a,1,1)),rewrite([83(3),45(3)])]. 96.50/96.77 299 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(236(a,1),56(a,1,2)),rewrite([45(4)]),flip(a)]. 96.50/96.77 325 mult(mult(A,B),mult(A,mult(B,A))) = mult(A,mult(B,mult(A,mult(B,A)))). [back_rewrite(174),rewrite([299(4),233(3)]),flip(a)]. 96.50/96.77 333 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(299(a,1),21(a,1,1))]. 96.50/96.77 452 mult(mult(A,mult(i(B),C)),mult(i(C),B)) = A. [para(45(a,1),106(a,1,2,2))]. 96.50/96.77 471 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(45(a,1),107(a,1,1,2))]. 96.50/96.77 609 mult(mult(i(A),mult(i(B),A)),mult(mult(i(A),mult(B,A)),C)) = C. [para(168(a,1),107(a,1,2,1)),rewrite([83(4),45(4)])]. 96.50/96.77 648 mult(mult(A,mult(B,mult(C,i(B)))),mult(B,mult(i(C),i(B)))) = A. [para(170(a,1),106(a,1,1,2)),rewrite([45(6),83(6)])]. 96.50/96.77 650 mult(mult(A,mult(i(B),i(A))),mult(mult(A,mult(B,i(A))),C)) = C. [para(170(a,1),107(a,1,2,1)),rewrite([45(2),83(2)])]. 96.50/96.77 653 mult(mult(A,mult(B,i(A))),mult(mult(A,mult(i(B),i(A))),C)) = C. [para(170(a,1),111(a,1,1)),rewrite([45(5),83(5)])]. 96.50/96.77 1625 mult(A,mult(mult(A,i(B)),mult(B,mult(i(A),C)))) = mult(mult(A,i(B)),mult(B,C)). [para(22(a,1),85(a,2,2,2)),rewrite([45(2),48(4),15(4),47(3),45(2),45(9)])]. 96.50/96.77 1700 mult(i(A),mult(mult(mult(A,i(B)),mult(B,C)),A)) = mult(i(A),mult(mult(A,i(B)),mult(B,mult(C,A)))). [para(235(a,1),85(a,1,2,2)),rewrite([83(4),45(3),22(4),83(10),45(9),22(10),22(9),168(7),83(11),45(10),22(11)])]. 96.50/96.77 2146 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),B) = mult(mult(mult(A,C),mult(i(C),i(B))),mult(B,B)). [para(40(a,1),86(a,1,2,1)),rewrite([83(3),83(7),83(9),45(7),45(7),21(8),83(9),83(11),45(9),45(9),21(10),16(8),299(7),83(11),83(15),83(17),45(15),45(15),21(16)]),flip(a)]. 96.50/96.77 2167 mult(mult(mult(A,mult(B,B)),C),mult(i(C),i(B))) = mult(mult(mult(A,C),mult(i(C),i(B))),mult(B,B)). [para(66(a,1),86(a,1,2,1)),rewrite([106(12),2146(7),299(9)]),flip(a)]. 96.50/96.77 3025 mult(A,mult(mult(B,mult(i(A),mult(C,A))),i(A))) = mult(mult(A,mult(B,i(A))),C). [para(56(a,1),89(a,1,2)),rewrite([168(7)]),flip(a)]. 96.50/96.77 9794 mult(mult(i(A),mult(i(B),i(A))),mult(A,mult(B,mult(A,mult(B,A))))) = mult(B,A). [para(114(a,1),182(a,1,1,2,2)),rewrite([83(3),83(2),65(5),110(7),22(3),83(3),83(2),65(5),110(7),114(7),56(4),83(4),83(3),65(6),325(10)]),flip(a)]. 96.50/96.77 11490 mult(mult(i(A),i(B)),mult(mult(mult(mult(B,A),C),i(B)),mult(B,A))) = mult(mult(C,mult(B,A)),mult(i(A),mult(i(B),A))). [para(65(a,1),185(a,1,1,2)),rewrite([107(8)]),flip(a)]. 96.50/96.77 11497 mult(mult(i(A),mult(B,A)),mult(C,A)) = mult(i(A),mult(mult(B,mult(A,C)),A)). [para(114(a,1),185(a,1,1,2,2)),rewrite([83(3),83(2),65(5),83(9),45(7),45(7),110(7),83(6),83(5),65(8),83(12),45(10),45(10),325(12),9794(13),83(8),83(7),65(10),83(14),45(12),45(12),110(12),83(10),45(8),45(8),114(14)])]. 96.50/96.77 11947 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(114(a,1),186(a,1,2,2,2)),rewrite([83(3),83(2),65(5),83(9),45(7),45(7),325(9),9794(10),83(4),83(3),65(6),83(10),45(8),45(8),110(8),83(8),83(7),65(10),83(14),45(12),45(12),110(12),83(10),45(8),45(8),114(14)])]. 96.50/96.77 30976 mult(mult(A,B),mult(A,mult(B,mult(mult(i(B),i(A)),C)))) = mult(A,mult(B,C)). [para(21(a,1),1625(a,1,2,1)),rewrite([83(3),21(11)])]. 96.50/96.77 30978 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(i(A),mult(mult(A,i(B)),mult(B,C))). [para(1625(a,1),22(a,1,2)),flip(a)]. 96.50/96.77 30983 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(1625(a,1),56(a,1,2)),rewrite([45(11)]),flip(a)]. 96.50/96.77 30984 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(1625(a,1),65(a,1,1)),rewrite([30978(11),168(12),1700(12),56(13)])]. 96.50/96.77 30991 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [para(89(a,1),1625(a,1,2,2)),rewrite([45(3),83(4),83(2),45(5),168(4),56(5),45(8),11947(9),30984(8),47(6),56(7),45(7),83(8),83(6),45(9),168(8),56(9),45(9)]),flip(a)]. 96.50/96.77 31109 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(56(a,1),30976(a,1,2,2,2)),rewrite([83(8),45(6),45(6)])]. 96.50/96.77 31112 mult(mult(A,B),mult(i(B),mult(i(A),C))) = mult(i(B),mult(i(A),mult(mult(A,B),C))). [para(30976(a,1),111(a,1,2)),rewrite([45(10),45(10)])]. 96.50/96.77 31115 mult(mult(i(A),B),mult(i(B),mult(A,C))) = mult(i(B),mult(A,mult(mult(i(A),B),C))). [para(30976(a,1),471(a,1,2)),rewrite([45(10)])]. 96.50/96.77 31216 mult(mult(A,B),mult(mult(A,mult(mult(i(A),i(B)),C)),B)) = mult(mult(A,C),B). [para(30976(a,1),11497(a,2,2,1)),rewrite([65(3),22(4),65(12),22(13)])]. 96.50/96.77 31261 mult(i(A),mult(mult(A,B),mult(B,C))) = mult(B,mult(i(A),mult(mult(A,B),C))). [para(22(a,1),31109(a,1,1)),rewrite([22(10)]),flip(a)]. 96.50/96.77 31265 mult(A,mult(B,mult(mult(A,B),mult(i(B),C)))) = mult(mult(A,B),mult(A,C)). [para(56(a,1),31109(a,1,2,2)),flip(a)]. 96.50/96.77 31361 mult(mult(A,B),mult(A,mult(C,B))) = mult(A,mult(mult(mult(B,A),C),B)). [para(11947(a,1),31109(a,2,2,2)),rewrite([56(5),56(10)])]. 96.50/96.77 31437 mult(mult(i(A),i(B)),mult(B,mult(mult(mult(A,B),C),A))) = mult(B,mult(C,A)). [para(31361(a,1),22(a,1,2)),rewrite([83(2)])]. 96.50/96.77 31442 mult(A,mult(mult(mult(B,A),mult(C,i(B))),B)) = mult(mult(A,B),mult(A,C)). [para(47(a,1),31361(a,1,2,2)),flip(a)]. 96.50/96.77 31443 mult(A,mult(mult(mult(i(A),mult(B,A)),C),mult(i(A),B))) = mult(B,mult(A,mult(C,mult(i(A),B)))). [para(56(a,1),31361(a,1,1)),rewrite([168(8)]),flip(a)]. 96.50/96.77 31590 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(B,mult(mult(A,B),mult(i(B),C))). [para(31265(a,1),22(a,1,2))]. 96.50/96.77 31605 mult(mult(i(A),mult(B,A)),mult(mult(i(A),B),C)) = mult(mult(i(A),B),mult(mult(B,mult(C,i(A))),A)). [para(168(a,1),31265(a,1,2,2,1)),rewrite([99(8),56(9),168(10)]),flip(a)]. 96.50/96.77 31676 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(mult(mult(B,A),mult(C,i(B))),B). [para(31442(a,1),22(a,1,2))]. 96.50/96.77 31797 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(21(a,1),30984(a,1,1,1)),rewrite([21(7)])]. 96.50/96.77 31800 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(22(a,1),30984(a,1,1,2)),rewrite([45(2),45(5)]),flip(a)]. 96.50/96.77 31801 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(45(a,1),30984(a,1,1,1,2)),rewrite([45(7)])]. 96.50/96.77 31902 mult(mult(A,mult(B,mult(C,mult(A,B)))),mult(i(B),i(A))) = mult(A,mult(B,C)). [para(31797(a,1),21(a,1,1)),rewrite([83(6)])]. 96.50/96.77 31906 mult(mult(i(A),mult(mult(A,B),C)),B) = mult(i(A),mult(mult(A,B),mult(C,B))). [para(22(a,1),31797(a,1,2)),rewrite([22(10)])]. 96.50/96.77 31908 mult(A,mult(B,mult(mult(i(B),C),mult(A,B)))) = mult(mult(A,C),mult(A,B)). [para(56(a,1),31797(a,1,1,2)),flip(a)]. 96.50/96.77 31992 mult(mult(A,mult(B,C)),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),C)). [para(11497(a,1),31797(a,2,2,2)),rewrite([56(4),56(10)])]. 96.50/96.77 32028 mult(A,mult(mult(mult(B,i(C)),mult(C,A)),C)) = mult(mult(A,B),mult(A,C)). [para(47(a,1),31992(a,1,1,2)),flip(a)]. 96.50/96.77 32134 mult(A,mult(mult(i(A),B),mult(mult(mult(i(B),A),C),B))) = mult(mult(A,C),B). [para(56(a,1),31800(a,1,1)),rewrite([83(3),45(3),56(11)])]. 96.50/96.77 32459 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(C,mult(mult(i(C),B),mult(A,C))). [para(31908(a,1),22(a,1,2))]. 96.50/96.77 32511 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(mult(mult(B,i(C)),mult(C,A)),C). [para(32028(a,1),22(a,1,2))]. 96.50/96.77 32566 mult(mult(A,mult(mult(i(A),i(B)),C)),B) = mult(mult(i(B),i(A)),mult(mult(A,C),B)). [para(31216(a,1),22(a,1,2)),rewrite([83(2)]),flip(a)]. 96.50/96.77 32574 mult(mult(A,mult(mult(B,A),C)),B) = mult(mult(A,B),mult(mult(A,C),B)). [para(56(a,1),31216(a,1,2,1,2)),rewrite([83(8),45(6),45(6)]),flip(a)]. 96.50/96.77 32580 mult(mult(A,B),mult(mult(mult(mult(i(B),i(A)),C),A),B)) = mult(mult(C,A),B). [para(88(a,1),31216(a,1,2,1,2)),rewrite([45(8),56(9),45(11),56(12)])]. 96.50/96.77 32653 mult(mult(A,mult(mult(mult(B,A),C),i(B))),B) = mult(mult(A,B),mult(A,C)). [para(31908(a,1),31216(a,1,2,1)),rewrite([56(6),47(5),83(7),45(5),45(5),56(9)]),flip(a)]. 96.50/96.77 32761 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(11947(a,1),32574(a,1,1,2)),rewrite([56(6),56(9)])]. 96.50/96.77 32791 mult(mult(mult(A,B),mult(A,C)),i(C)) = mult(A,mult(mult(B,mult(A,C)),i(C))). [para(21(a,1),32761(a,1,1,1,1)),rewrite([21(8)])]. 96.50/96.77 32884 mult(mult(mult(A,B),mult(A,C)),i(B)) = mult(A,mult(mult(mult(B,A),C),i(B))). [para(32653(a,1),21(a,1,1))]. 96.50/96.77 33203 mult(A,mult(B,mult(i(A),mult(mult(A,B),C)))) = mult(mult(A,B),mult(B,C)). [para(31261(a,1),22(a,1,2)),rewrite([45(2)])]. 96.50/96.77 33204 mult(i(A),mult(i(B),mult(mult(B,A),mult(A,C)))) = mult(i(B),mult(mult(B,A),C)). [para(31261(a,2),22(a,1,2))]. 96.50/96.77 33506 mult(mult(A,B),mult(i(B),mult(C,i(A)))) = mult(i(B),mult(mult(mult(B,A),C),i(A))). [para(107(a,1),31437(a,1,2,2,1)),rewrite([45(2),45(2)])]. 96.50/96.77 33547 mult(mult(i(A),i(B)),mult(mult(mult(B,mult(A,i(B))),C),B)) = mult(A,mult(mult(i(A),i(B)),mult(C,B))). [para(650(a,1),31437(a,1,2,2,1)),rewrite([83(5),45(3),45(3),22(3)]),flip(a)]. 96.50/96.77 33777 mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C))) = mult(i(A),mult(B,mult(A,C))). [para(21(a,1),31590(a,1,2,1)),rewrite([83(2),21(11),45(10)])]. 96.50/96.77 33962 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(31797(a,1),31590(a,1,2)),rewrite([22(6),83(8),47(10)]),flip(a)]. 96.50/96.77 34027 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(21(a,1),33962(a,1,1)),rewrite([21(3),45(3)]),flip(a)]. 96.50/96.77 34033 mult(A,mult(mult(i(A),B),mult(C,A))) = mult(B,mult(mult(C,B),mult(i(B),A))). [para(56(a,1),33962(a,1,1)),rewrite([56(3),83(4),45(4)]),flip(a)]. 96.50/96.77 34129 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(11497(a,1),33962(a,1,2,1)),rewrite([65(8),21(7)])]. 96.50/96.77 34485 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(34027(a,1),33203(a,1,2,2,2)),rewrite([22(5),56(10)]),flip(a)]. 96.50/96.77 34552 mult(mult(A,B),mult(i(B),mult(mult(C,mult(A,B)),i(B)))) = mult(A,mult(C,A)). [para(21(a,1),34485(a,1,1)),rewrite([21(3)]),flip(a)]. 96.50/96.77 34554 mult(mult(A,i(B)),mult(B,mult(mult(C,mult(A,i(B))),B))) = mult(A,mult(C,A)). [para(47(a,1),34485(a,1,1)),rewrite([47(3)]),flip(a)]. 96.50/96.77 34637 mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),B)) = mult(mult(mult(C,mult(B,A)),mult(i(A),i(C))),C). [para(21(a,1),31676(a,1,2,2)),rewrite([83(2)])]. 96.50/96.77 34638 mult(mult(A,mult(B,mult(i(C),i(A)))),mult(A,C)) = mult(mult(A,mult(B,i(C))),C). [para(21(a,1),31676(a,2,1,1)),rewrite([45(2),99(6),56(7),83(6)]),flip(a)]. 96.50/96.77 34837 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(31992(a,1),31676(a,1,2)),rewrite([22(6),83(7),56(9)]),flip(a)]. 96.50/96.77 34840 mult(mult(mult(A,B),mult(C,i(A))),A) = mult(A,mult(mult(B,A),mult(i(A),C))). [para(31676(a,1),31590(a,1))]. 96.50/96.77 34846 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(i(C),i(B)),mult(mult(B,mult(C,A)),C)). [back_rewrite(11490),rewrite([34837(9)]),flip(a)]. 96.50/96.77 34866 mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),B)) = mult(C,mult(mult(mult(B,A),C),mult(i(C),i(A)))). [back_rewrite(34637),rewrite([34840(14)])]. 96.50/96.77 34873 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [para(22(a,1),34837(a,1,1,1,1)),rewrite([45(3),22(5)]),flip(a)]. 96.50/96.77 34875 mult(mult(mult(mult(i(A),B),C),A),mult(i(A),B)) = mult(mult(i(A),mult(B,C)),B). [para(45(a,1),34837(a,1,1,2))]. 96.50/96.77 34877 mult(mult(A,mult(mult(i(A),B),C)),mult(i(A),B)) = mult(mult(mult(B,C),i(A)),B). [para(56(a,1),34837(a,1,1,1,1)),rewrite([56(6)]),flip(a)]. 96.50/96.77 34885 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(34837(a,1),88(a,2,2,1)),rewrite([45(8),65(7),22(8),45(12)])]. 96.50/96.77 34906 mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))) = mult(i(C),mult(mult(C,A),B)). [para(11947(a,1),34837(a,2,1)),rewrite([21(3),83(4),21(9),34840(7),65(14),21(13)])]. 96.50/96.77 34934 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(31800(a,1),34837(a,1,1,1)),rewrite([21(5),65(4),34485(4),56(9)]),flip(a)]. 96.50/96.77 34947 mult(A,mult(mult(mult(B,mult(A,C)),A),mult(i(A),i(C)))) = mult(mult(A,mult(mult(B,A),C)),i(C)). [para(34027(a,1),34837(a,2,1)),rewrite([21(3),83(5),21(10),34840(8)])]. 96.50/96.77 34952 mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),B)) = mult(i(A),mult(mult(A,C),B)). [back_rewrite(34866),rewrite([34906(14)])]. 96.50/96.77 34958 mult(mult(A,mult(B,mult(mult(C,A),B))),i(B)) = mult(A,mult(mult(B,C),A)). [para(34934(a,1),21(a,1,1))]. 96.50/96.77 34962 mult(mult(A,mult(B,mult(C,B))),C) = mult(mult(A,B),mult(C,mult(B,C))). [para(22(a,1),34934(a,2,2,2,1)),rewrite([34485(6),47(3)])]. 96.50/96.77 34963 mult(mult(A,mult(i(B),mult(mult(C,A),i(B)))),B) = mult(A,mult(mult(i(B),C),A)). [para(34934(a,1),47(a,1,1))]. 96.50/96.77 34965 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [para(56(a,1),34934(a,1,1,2,1)),flip(a)]. 96.50/96.77 35008 mult(mult(A,mult(B,i(C))),mult(C,B)) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(22(a,1),34962(a,2,2,2)),rewrite([170(4),22(5),299(9)])]. 96.50/96.77 35012 mult(mult(A,mult(B,mult(B,i(C)))),C) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(47(a,1),34962(a,2,2,2)),rewrite([34485(6),170(4),22(5),35008(10)])]. 96.50/96.77 35149 mult(mult(mult(A,mult(B,mult(C,i(B)))),B),A) = mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)). [para(88(a,1),34873(a,1,1,2)),rewrite([22(7)]),flip(a)]. 96.50/96.77 35193 mult(mult(i(A),mult(i(B),mult(mult(mult(B,A),C),B))),mult(A,B)) = mult(mult(mult(C,B),A),B). [para(11947(a,1),34873(a,1,1,2)),rewrite([56(13)])]. 96.50/96.77 35449 mult(mult(i(A),mult(mult(mult(A,B),C),i(B))),B) = mult(mult(B,A),mult(i(A),C)). [para(47(a,1),31801(a,2,2,2)),rewrite([33506(6)])]. 96.50/96.77 35456 mult(mult(i(A),mult(i(B),mult(mult(B,A),C))),B) = mult(i(A),mult(i(B),mult(mult(B,A),mult(C,B)))). [para(168(a,1),31801(a,2,2,2)),rewrite([31112(6),31112(14)])]. 96.50/96.77 35515 mult(mult(i(A),i(B)),mult(mult(B,mult(A,C)),A)) = mult(mult(C,mult(A,B)),i(B)). [para(31902(a,1),34934(a,1,1,2)),rewrite([30983(6),32566(7),34554(20),170(13),22(14)])]. 96.50/96.77 35522 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(34846),rewrite([35515(14)])]. 96.50/96.77 35718 mult(mult(A,mult(mult(A,B),i(C))),C) = mult(A,mult(mult(A,mult(B,i(C))),C)). [para(32653(a,1),32134(a,1,2,2)),rewrite([168(5),31605(9),471(10),56(8)]),flip(a)]. 96.50/96.77 35729 mult(A,mult(mult(i(A),i(B)),mult(mult(C,B),A))) = mult(i(B),mult(C,mult(B,A))). [para(21(a,1),32459(a,1,2,1)),rewrite([83(2),33777(7)]),flip(a)]. 96.50/96.77 35775 mult(mult(i(A),mult(mult(A,B),mult(A,C))),mult(i(C),B)) = mult(mult(mult(B,mult(A,C)),i(C)),B). [para(32459(a,2),34837(a,2,1)),rewrite([56(3),56(7)]),flip(a)]. 96.50/96.77 35850 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(32511(a,1),32459(a,1))]. 96.50/96.77 35857 mult(mult(mult(mult(i(A),i(B)),C),B),A) = mult(mult(i(A),i(B)),mult(mult(C,B),A)). [para(32580(a,1),22(a,1,2)),rewrite([83(2)]),flip(a)]. 96.50/96.77 35871 mult(mult(mult(A,B),C),mult(i(C),i(B))) = mult(i(C),mult(i(B),mult(mult(B,C),A))). [para(32580(a,1),170(a,1,1)),rewrite([83(4),35857(13),83(15),65(17),34485(17),21(13),21(12),31112(12)])]. 96.50/96.77 35903 mult(mult(mult(A,mult(i(B),i(C))),C),B) = mult(i(B),mult(i(C),mult(mult(C,B),A))). [para(34485(a,1),32580(a,1,2,1,1)),rewrite([34963(10),168(8),47(7),31112(6)]),flip(a)]. 96.50/96.77 35904 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(32580(a,1),34837(a,1,1,1)),rewrite([35857(12),35729(13),56(11)])]. 96.50/96.77 35909 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(i(B),mult(i(C),mult(mult(C,B),mult(A,C)))). [back_rewrite(2146),rewrite([35871(6),35456(7)]),flip(a)]. 96.50/96.77 35916 mult(mult(mult(A,mult(B,B)),C),mult(i(C),i(B))) = mult(i(C),mult(i(B),mult(mult(B,C),mult(A,B)))). [back_rewrite(2167),rewrite([35909(14)])]. 96.50/96.77 35931 mult(mult(i(A),mult(i(B),mult(mult(B,A),C))),mult(mult(B,A),C)) = mult(mult(mult(C,B),A),C). [para(107(a,1),35904(a,1,1,1)),rewrite([45(2),31800(6)]),flip(a)]. 96.50/96.77 35937 mult(mult(mult(A,mult(i(B),C)),C),mult(i(C),B)) = mult(mult(mult(A,i(B)),C),B). [para(35904(a,1),452(a,1,1)),rewrite([45(12)])]. 96.50/96.77 36143 mult(mult(A,mult(mult(B,mult(A,C)),i(C))),C) = mult(mult(A,B),mult(A,C)). [para(32791(a,1),21(a,1,1)),rewrite([45(7)])]. 96.50/96.77 36188 mult(mult(A,mult(mult(B,C),mult(i(C),A))),mult(i(A),C)) = mult(mult(A,B),C). [para(56(a,1),36143(a,1,1,2,1,2)),rewrite([83(4),45(4),56(12)])]. 96.50/96.77 36366 mult(mult(A,mult(mult(mult(B,A),C),B)),i(B)) = mult(A,mult(mult(mult(B,A),mult(C,B)),i(B))). [para(31361(a,1),32884(a,1,1))]. 96.50/96.77 36409 mult(i(A),mult(B,mult(mult(i(B),A),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [para(34033(a,2),22(a,1,2))]. 96.50/96.77 36464 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(11497(a,1),34033(a,1,2)),rewrite([56(6),83(8),168(10),35522(11)]),flip(a)]. 96.50/96.77 36479 mult(A,mult(mult(B,mult(i(C),mult(A,C))),i(C))) = mult(mult(mult(A,B),i(C)),A). [para(56(a,1),36464(a,1,1)),rewrite([168(3),34877(14)])]. 96.50/96.77 36521 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(36464(a,1),31800(a,2,1)),rewrite([36143(8),34129(7),65(3),22(4)]),flip(a)]. 96.50/96.77 36526 mult(mult(A,mult(mult(B,A),C)),i(C)) = mult(i(C),mult(mult(C,mult(A,B)),A)). [para(36464(a,1),33962(a,2,2)),rewrite([22(3),22(5),83(5),34947(8)])]. 96.50/96.77 36532 mult(mult(mult(A,mult(B,C)),i(C)),A) = mult(A,mult(i(C),mult(mult(C,B),A))). [para(32459(a,2),36464(a,2,1)),rewrite([56(3),168(4),11947(5),65(7),21(6),35775(13)]),flip(a)]. 96.50/96.77 36535 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(34885),rewrite([36521(11),22(12)])]. 96.50/96.77 36545 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [back_rewrite(35149),rewrite([36521(6),47(3)]),flip(a)]. 96.50/96.77 36564 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(56(a,1),36521(a,1,1,1,2)),rewrite([168(6)]),flip(a)]. 96.50/96.77 36603 mult(mult(mult(mult(A,B),i(C)),A),C) = mult(A,mult(mult(mult(B,i(C)),A),C)). [para(34033(a,1),36521(a,2)),rewrite([34877(7),35937(12)])]. 96.50/96.77 36607 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(34129),rewrite([36564(12)])]. 96.50/96.77 36656 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(B,mult(A,mult(C,B))). [para(21(a,1),36535(a,1,2)),rewrite([45(2),33962(12)])]. 96.50/96.77 36673 mult(mult(mult(A,mult(B,i(C))),C),A) = mult(A,mult(C,mult(mult(i(C),B),A))). [para(99(a,1),36535(a,1,1,2)),rewrite([45(2),56(7),21(7),33962(13)])]. 96.50/96.77 36755 mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,A)))) = mult(mult(C,mult(A,B)),i(B)). [para(650(a,1),36545(a,1,1,1)),rewrite([83(4),45(2),45(2),47(6),33547(13)]),flip(a)]. 96.50/96.77 36810 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(36464(a,1),36545(a,1,1,1)),rewrite([21(5),47(9)])]. 96.50/96.77 36821 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(56(a,1),36810(a,1,1,2)),flip(a)]. 96.50/96.77 36874 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(56(a,1),36564(a,1,2,2,1,2)),rewrite([83(5),45(5),168(5),30991(7),31801(10)]),flip(a)]. 96.50/96.77 36946 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(31800),rewrite([36874(6),170(3),89(5)])]. 96.50/96.77 37204 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(36535(a,1),36607(a,1,2,2)),rewrite([22(6),56(9)]),flip(a)]. 96.50/96.77 37212 mult(mult(mult(A,B),mult(mult(C,B),A)),i(A)) = mult(mult(mult(A,B),C),B). [para(37204(a,1),21(a,1,1))]. 96.50/96.77 37223 mult(mult(A,B),mult(C,mult(C,A))) = mult(A,mult(mult(B,mult(C,C)),A)). [para(121(a,1),37204(a,2,2,1)),rewrite([35012(6),21(3),65(4),66(7)]),flip(a)]. 96.50/96.77 37289 mult(mult(mult(i(A),B),C),mult(A,B)) = mult(i(A),mult(B,mult(mult(C,A),B))). [para(56(a,1),37223(a,1,2,2)),rewrite([34485(13),333(10)])]. 96.50/96.77 37550 mult(A,mult(mult(B,mult(mult(i(B),C),mult(B,A))),i(A))) = mult(mult(mult(A,C),mult(B,A)),i(A)). [para(36821(a,1),170(a,1,1)),flip(a)]. 96.50/96.77 37709 mult(mult(mult(i(A),mult(B,A)),C),mult(i(A),B)) = mult(mult(i(A),B),mult(mult(A,mult(C,i(A))),B)). [para(168(a,1),36946(a,1,2,2,1,2)),rewrite([3025(9),168(10)]),flip(a)]. 96.50/96.77 37730 mult(mult(A,i(B)),mult(B,mult(C,A))) = mult(A,mult(mult(C,B),mult(i(B),A))). [para(30984(a,1),36946(a,2)),rewrite([45(7),34840(6),22(7)]),flip(a)]. 96.50/96.77 37736 mult(mult(A,B),mult(A,mult(mult(B,A),mult(i(A),C)))) = mult(A,mult(B,mult(A,mult(B,C)))). [para(34837(a,1),36946(a,1,2,2,1)),rewrite([21(5),35718(11),34840(10)]),flip(a)]. 96.50/96.77 37746 mult(mult(A,B),mult(mult(C,B),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(36946(a,1),36656(a,1,1)),rewrite([56(4),37204(4),56(8),83(10),83(8),45(11),168(10),35522(11),47(9)])]. 96.50/96.77 37748 mult(A,mult(mult(i(A),B),mult(mult(A,mult(C,i(A))),B))) = mult(B,mult(A,mult(C,mult(i(A),B)))). [back_rewrite(31443),rewrite([37709(7)])]. 96.50/96.77 37782 mult(A,mult(mult(B,mult(C,mult(B,A))),i(A))) = mult(mult(mult(A,B),C),B). [back_rewrite(37212),rewrite([37746(4),170(6)])]. 96.50/96.77 37793 mult(mult(mult(A,B),mult(i(B),C)),B) = mult(mult(mult(A,C),mult(B,A)),i(A)). [back_rewrite(37550),rewrite([37782(8)])]. 96.50/96.77 37802 mult(A,mult(B,mult(mult(C,i(B)),mult(B,A)))) = mult(mult(A,B),mult(C,A)). [para(47(a,1),37746(a,1,2,1)),flip(a)]. 96.50/96.77 37803 mult(mult(A,B),mult(i(A),mult(i(B),mult(mult(B,A),C)))) = mult(A,mult(B,C)). [para(47(a,1),37746(a,2,2,2)),rewrite([83(3),35903(7)])]. 96.50/96.77 37830 mult(i(A),mult(i(B),mult(mult(mult(B,A),C),B))) = mult(mult(C,mult(B,A)),i(A)). [para(37746(a,1),609(a,1,2)),rewrite([21(9),99(10),35449(9),11947(6)])]. 96.50/96.77 37864 mult(mult(mult(A,mult(B,C)),i(C)),mult(C,B)) = mult(mult(mult(A,B),C),B). [back_rewrite(35193),rewrite([37830(7)])]. 96.50/96.77 38611 mult(i(A),mult(mult(A,B),mult(C,A))) = mult(B,mult(mult(C,i(B)),mult(B,A))). [para(37802(a,1),22(a,1,2))]. 96.50/96.77 38711 mult(i(A),mult(i(B),mult(mult(B,A),mult(C,B)))) = mult(mult(C,i(A)),mult(A,B)). [para(47(a,1),37864(a,1,1,1)),rewrite([83(6),35903(10),35456(11)]),flip(a)]. 96.50/96.77 38777 mult(mult(mult(A,mult(B,B)),C),mult(i(C),i(B))) = mult(mult(A,i(C)),mult(C,B)). [back_rewrite(35916),rewrite([38711(14)])]. 96.50/96.77 39593 mult(A,mult(mult(i(A),mult(B,mult(C,A))),C)) = mult(mult(B,C),mult(A,C)). [para(34552(a,1),36535(a,1,1,2)),rewrite([22(4),168(10),47(9)]),flip(a)]. 96.50/96.77 39594 mult(mult(A,B),mult(mult(A,mult(C,B)),i(B))) = mult(A,mult(mult(B,A),C)). [para(36545(a,1),34552(a,1,2,2,1)),rewrite([170(7),22(8),47(11)])]. 96.50/96.77 39620 mult(mult(mult(A,mult(B,mult(C,i(B)))),B),i(C)) = mult(i(C),mult(mult(C,A),B)). [para(648(a,1),39593(a,1,2,1,2)),rewrite([83(7),45(5),45(5),34952(7),47(13)]),flip(a)]. 96.50/96.77 39627 mult(A,mult(mult(i(A),mult(B,mult(C,A))),B)) = mult(mult(mult(B,C),A),B). [para(39593(a,1),34033(a,1,2)),rewrite([168(4),11947(5),56(6),83(6),45(6),56(8),34875(11)]),flip(a)]. 96.50/96.77 39663 mult(A,mult(mult(B,mult(mult(i(B),C),A)),i(A))) = mult(mult(A,mult(C,i(B))),B). [para(39594(a,1),653(a,1,2)),rewrite([47(7),89(7),83(16),45(14),45(14),34638(14)])]. 96.50/96.77 39678 mult(A,mult(B,mult(i(A),mult(mult(A,C),B)))) = mult(mult(A,mult(B,C)),B). [para(34033(a,2),39594(a,1,2,1)),rewrite([56(3),83(8),45(8),34877(8),36532(5),168(9),11497(11),56(12)])]. 96.50/96.77 39686 mult(A,mult(mult(i(A),mult(B,C)),B)) = mult(B,mult(A,mult(mult(i(A),C),B))). [para(47(a,1),39627(a,1,2,1,2,2)),rewrite([36673(10)])]. 96.50/96.77 39696 mult(mult(A,mult(i(B),mult(mult(B,C),A))),B) = mult(A,mult(mult(C,A),B)). [para(88(a,1),39627(a,2,1)),rewrite([83(7),83(6),45(5),170(7),89(13),65(14),47(13),89(12),39663(12),39620(7),65(12),47(11)])]. 96.50/96.77 39745 mult(mult(mult(mult(A,B),C),i(B)),mult(A,B)) = mult(A,mult(mult(mult(B,mult(C,i(B))),A),B)). [para(89(a,1),39678(a,1,2)),rewrite([45(5),36479(9),45(8),36603(7),170(4),56(9),45(9),45(14),34877(15)]),flip(a)]. 96.50/96.77 39809 mult(mult(i(A),mult(mult(A,B),C)),C) = mult(i(A),mult(mult(A,mult(B,C)),C)). [para(34958(a,1),39696(a,1,1,2,2)),rewrite([22(6),170(11),21(10)])]. 96.50/96.77 40802 mult(mult(A,B),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(A,C))). [para(35718(a,1),11947(a,2,2)),rewrite([47(7),34840(13),37736(14),22(12)])]. 96.50/96.77 40845 mult(A,mult(mult(mult(B,C),mult(i(C),A)),i(A))) = mult(mult(A,i(C)),mult(C,B)). [para(40802(a,1),650(a,1,2)),rewrite([89(10),35850(6),36409(7),83(10),45(9),47(12)])]. 96.50/96.77 41352 mult(i(A),mult(B,mult(B,mult(mult(i(B),A),mult(C,B))))) = mult(mult(i(A),B),mult(mult(A,C),B)). [para(36188(a,1),34485(a,1,2)),rewrite([170(13),40845(13),35850(11)]),flip(a)]. 96.50/96.77 42223 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(A,mult(mult(mult(mult(i(A),B),C),A),B)). [para(37289(a,1),34027(a,1,2,2)),rewrite([31112(9),33204(9)])]. 96.50/96.77 42589 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [para(333(a,1),37730(a,1,2,2)),rewrite([38777(14)])]. 96.50/96.77 42652 mult(A,mult(mult(mult(B,C),mult(i(C),A)),C)) = mult(A,mult(mult(mult(B,A),mult(C,B)),i(B))). [para(37793(a,2),32884(a,2,2)),rewrite([31361(4),36366(6)]),flip(a)]. 96.50/96.77 42676 mult(i(A),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(mult(i(B),i(A)),C))). [para(37803(a,1),111(a,1,2)),rewrite([31112(6),45(8),45(8)])]. 96.50/96.77 42680 mult(i(A),mult(B,mult(mult(i(B),A),C))) = mult(A,mult(i(B),mult(mult(B,i(A)),C))). [para(37803(a,1),471(a,1,2)),rewrite([31115(6),45(8)])]. 96.50/96.77 42720 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),mult(mult(B,A),C)) = mult(mult(mult(C,B),A),C). [back_rewrite(35931),rewrite([42676(6)])]. 96.50/96.77 42732 mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(36409),rewrite([42680(7)])]. 96.50/96.77 42971 mult(A,mult(mult(mult(mult(i(A),B),C),A),B)) = mult(B,mult(B,mult(mult(i(B),C),mult(A,B)))). [para(38611(a,2),65(a,1,1)),rewrite([31906(6),42223(6),35850(11)])]. 96.50/96.77 43441 mult(A,mult(B,mult(mult(i(B),mult(i(A),C)),A))) = mult(B,mult(mult(i(B),C),A)). [para(56(a,1),39686(a,1,2,1,2)),flip(a)]. 96.50/96.77 43493 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [para(107(a,1),39809(a,1,1,2)),rewrite([45(2),45(6),42676(10),42720(13)])]. 96.50/96.77 43517 mult(A,mult(mult(mult(mult(i(A),B),C),A),B)) = mult(mult(mult(B,C),A),B). [back_rewrite(42223),rewrite([43493(5),22(6)]),flip(a)]. 96.50/96.77 43534 mult(A,mult(A,mult(mult(i(A),B),mult(C,A)))) = mult(mult(mult(A,B),C),A). [back_rewrite(42971),rewrite([43517(6)]),flip(a)]. 96.50/96.77 43541 mult(mult(i(A),B),mult(mult(A,C),B)) = mult(i(A),mult(mult(mult(B,A),C),B)). [back_rewrite(41352),rewrite([43534(7)]),flip(a)]. 96.50/96.77 43547 mult(mult(mult(A,B),mult(C,i(B))),A) = mult(A,mult(B,mult(C,mult(i(B),A)))). [back_rewrite(37748),rewrite([43541(7),56(8)])]. 96.50/96.77 43551 mult(i(A),mult(mult(A,B),mult(C,A))) = mult(mult(B,C),A). [para(43493(a,1),22(a,1,2)),rewrite([83(2),42589(8),21(5)])]. 96.50/96.77 43567 mult(mult(A,mult(B,mult(A,C))),B) = mult(A,mult(mult(mult(B,A),C),B)). [para(43493(a,1),88(a,2,2,1)),rewrite([21(5),31361(4),36526(10),56(11)]),flip(a)]. 96.50/96.77 43569 mult(mult(A,mult(i(B),C)),B) = mult(mult(A,i(B)),mult(C,B)). [para(43493(a,1),609(a,1,2)),rewrite([39745(11),99(13),36526(10),43567(9),43547(8),22(10),22(8),65(6),22(7)])]. 96.50/96.77 43648 mult(mult(A,B),mult(i(B),C)) = mult(B,mult(mult(i(B),A),C)). [back_rewrite(42732),rewrite([43551(6)]),flip(a)]. 96.50/96.77 43716 mult(mult(A,mult(B,C)),i(C)) = mult(C,mult(mult(i(C),A),B)). [back_rewrite(43441),rewrite([43569(5),36755(7)])]. 96.50/96.77 43733 mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))). [back_rewrite(42652),rewrite([43648(4),65(5),34965(6),43716(8),22(6)])]. 96.50/96.77 43734 $F # answer(goals). [resolve(43733,a,81,a)]. 96.50/96.77 96.50/96.77 % SZS output end Refutation 96.50/96.77 ============================== end of proof ========================== 96.50/96.77 96.50/96.77 ============================== STATISTICS ============================ 96.50/96.77 96.50/96.77 Given=1282. Generated=2291875. Kept=43716. proofs=1. 96.50/96.77 Usable=717. Sos=9698. Demods=10241. Limbo=164, Disabled=33151. Hints=0. 96.50/96.77 Megabytes=42.45. 96.50/96.77 User_CPU=94.41, System_CPU=1.38, Wall_clock=96. 96.50/96.77 96.50/96.77 ============================== end of statistics ===================== 96.50/96.77 96.50/96.77 ============================== end of search ========================= 96.50/96.77 96.50/96.77 THEOREM PROVED 96.50/96.77 % SZS status Theorem 96.50/96.77 96.50/96.77 Exiting with 1 proof. 96.50/96.77 96.50/96.77 Process 16084 exit (max_proofs) Tue Aug 9 06:39:57 2022 96.50/96.77 Prover9 interrupted 96.50/96.78 EOF