0.09/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.14 % Command : tptp2X_and_run_prover9 %d %s 0.14/0.36 % Computer : n029.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1200 0.14/0.36 % DateTime : Tue Jul 13 15:03:55 EDT 2021 0.14/0.36 % CPUTime : 0.80/1.08 ============================== Prover9 =============================== 0.80/1.08 Prover9 (32) version 2009-11A, November 2009. 0.80/1.08 Process 18950 was started by sandbox on n029.cluster.edu, 0.80/1.08 Tue Jul 13 15:03:55 2021 0.80/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_18797_n029.cluster.edu". 0.80/1.08 ============================== end of head =========================== 0.80/1.08 0.80/1.08 ============================== INPUT ================================= 0.80/1.08 0.80/1.08 % Reading from file /tmp/Prover9_18797_n029.cluster.edu 0.80/1.08 0.80/1.08 set(prolog_style_variables). 0.80/1.08 set(auto2). 0.80/1.08 % set(auto2) -> set(auto). 0.80/1.08 % set(auto) -> set(auto_inference). 0.80/1.08 % set(auto) -> set(auto_setup). 0.80/1.08 % set(auto_setup) -> set(predicate_elim). 0.80/1.08 % set(auto_setup) -> assign(eq_defs, unfold). 0.80/1.08 % set(auto) -> set(auto_limits). 0.80/1.08 % set(auto_limits) -> assign(max_weight, "100.000"). 0.80/1.08 % set(auto_limits) -> assign(sos_limit, 20000). 0.80/1.08 % set(auto) -> set(auto_denials). 0.80/1.08 % set(auto) -> set(auto_process). 0.80/1.08 % set(auto2) -> assign(new_constants, 1). 0.80/1.08 % set(auto2) -> assign(fold_denial_max, 3). 0.80/1.08 % set(auto2) -> assign(max_weight, "200.000"). 0.80/1.08 % set(auto2) -> assign(max_hours, 1). 0.80/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.80/1.08 % set(auto2) -> assign(max_seconds, 0). 0.80/1.08 % set(auto2) -> assign(max_minutes, 5). 0.80/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.80/1.08 % set(auto2) -> set(sort_initial_sos). 0.80/1.08 % set(auto2) -> assign(sos_limit, -1). 0.80/1.08 % set(auto2) -> assign(lrs_ticks, 3000). 0.80/1.08 % set(auto2) -> assign(max_megs, 400). 0.80/1.08 % set(auto2) -> assign(stats, some). 0.80/1.08 % set(auto2) -> clear(echo_input). 0.80/1.08 % set(auto2) -> set(quiet). 0.80/1.08 % set(auto2) -> clear(print_initial_clauses). 0.80/1.08 % set(auto2) -> clear(print_given). 0.80/1.08 assign(lrs_ticks,-1). 0.80/1.08 assign(sos_limit,10000). 0.80/1.08 assign(order,kbo). 0.80/1.08 set(lex_order_vars). 0.80/1.08 clear(print_given). 0.80/1.08 0.80/1.08 % formulas(sos). % not echoed (15 formulas) 0.80/1.08 0.80/1.08 ============================== end of input ========================== 0.80/1.08 0.80/1.08 % From the command line: assign(max_seconds, 1200). 0.80/1.08 0.80/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.80/1.08 0.80/1.08 % Formulas that are not ordinary clauses: 0.80/1.08 1 (all B all A mult(mult(A,B),i(B)) = A) # label(f08) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 2 (all D all C all B all A 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) # label(non_clause). [assumption]. 0.80/1.08 3 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 4 (all B all A A = rd(mult(A,B),B)) # label(f04) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 5 (all X0 all X1 all X2 (mult(X0,mult(X1,mult(X2,X1))) = mult(mult(mult(X0,X1),X2),X1) -> mult(mult(mult(X1,X0),X1),X2) = mult(X1,mult(X0,mult(X1,X2))))) # label(f12) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 6 (all B all A B = mult(i(A),mult(A,B))) # label(f07) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 7 (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(f09) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 8 (all X3 all X4 all X5 (mult(mult(X3,X4),mult(X5,X3)) = mult(mult(X3,mult(X4,X5)),X3) -> mult(X3,mult(X4,mult(X3,X5))) = mult(mult(mult(X3,X4),X3),X5))) # label(f13) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 9 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 10 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 11 (all X6 all X7 all X8 (mult(X6,mult(mult(X7,X8),X6)) = mult(mult(X6,X7),mult(X8,X6)) -> mult(X6,mult(X7,mult(X6,X8))) = mult(mult(mult(X6,X7),X6),X8))) # label(f14) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 12 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 13 (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(f11) # label(axiom) # label(non_clause). [assumption]. 0.80/1.08 14 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 94.36/94.75 94.36/94.75 ============================== end of process non-clausal formulas === 94.36/94.75 94.36/94.75 ============================== PROCESS INITIAL CLAUSES =============== 94.36/94.75 94.36/94.75 ============================== PREDICATE ELIMINATION ================= 94.36/94.75 94.36/94.75 ============================== end predicate elimination ============= 94.36/94.75 94.36/94.75 Auto_denials: 94.36/94.75 % copying label goals to answer in negative clause 94.36/94.75 94.36/94.75 Term ordering decisions: 94.36/94.75 94.36/94.75 % Assigning unary symbol i kb_weight 0 and highest precedence (9). 94.36/94.75 Function symbol KB weights: unit=1. a=1. b=1. c=1. mult=1. ld=1. rd=1. i=0. 94.36/94.75 94.36/94.75 ============================== end of process initial clauses ======== 94.36/94.75 94.36/94.75 ============================== CLAUSES FOR SEARCH ==================== 94.36/94.75 94.36/94.75 ============================== end of clauses for search ============= 94.36/94.75 94.36/94.75 ============================== SEARCH ================================ 94.36/94.75 94.36/94.75 % Starting search at 0.01 seconds. 94.36/94.75 94.36/94.75 Low Water (keep): wt=99.000, iters=3333 94.36/94.75 94.36/94.75 Low Water (keep): wt=97.000, iters=3372 94.36/94.75 94.36/94.75 Low Water (keep): wt=93.000, iters=3348 94.36/94.75 94.36/94.75 Low Water (keep): wt=90.000, iters=3365 94.36/94.75 94.36/94.75 Low Water (keep): wt=82.000, iters=3353 94.36/94.75 94.36/94.75 Low Water (keep): wt=80.000, iters=3354 94.36/94.75 94.36/94.75 Low Water (keep): wt=79.000, iters=3368 94.36/94.75 94.36/94.75 Low Water (keep): wt=76.000, iters=3349 94.36/94.75 94.36/94.75 Low Water (keep): wt=75.000, iters=3358 94.36/94.75 94.36/94.75 Low Water (keep): wt=73.000, iters=3381 94.36/94.75 94.36/94.75 Low Water (keep): wt=72.000, iters=3383 94.36/94.75 94.36/94.75 Low Water (keep): wt=69.000, iters=3335 94.36/94.75 94.36/94.75 Low Water (keep): wt=67.000, iters=3431 94.36/94.75 94.36/94.75 Low Water (keep): wt=65.000, iters=3355 94.36/94.75 94.36/94.75 Low Water (keep): wt=64.000, iters=3356 94.36/94.75 94.36/94.75 Low Water (keep): wt=63.000, iters=3343 94.36/94.75 94.36/94.75 Low Water (keep): wt=62.000, iters=3353 94.36/94.75 94.36/94.75 Low Water (keep): wt=61.000, iters=3351 94.36/94.75 94.36/94.75 Low Water (keep): wt=60.000, iters=3382 94.36/94.75 94.36/94.75 Low Water (keep): wt=59.000, iters=3390 94.36/94.75 94.36/94.75 Low Water (keep): wt=57.000, iters=3333 94.36/94.75 94.36/94.75 Low Water (keep): wt=56.000, iters=3412 94.36/94.75 94.36/94.75 Low Water (keep): wt=55.000, iters=3363 94.36/94.75 94.36/94.75 Low Water (keep): wt=54.000, iters=3385 94.36/94.75 94.36/94.75 Low Water (keep): wt=53.000, iters=3337 94.36/94.75 94.36/94.75 Low Water (keep): wt=52.000, iters=3365 94.36/94.75 94.36/94.75 Low Water (keep): wt=51.000, iters=3370 94.36/94.75 94.36/94.75 Low Water (keep): wt=50.000, iters=3341 94.36/94.75 94.36/94.75 Low Water (keep): wt=49.000, iters=3344 94.36/94.75 94.36/94.75 Low Water (keep): wt=47.000, iters=3407 94.36/94.75 94.36/94.75 Low Water (keep): wt=46.000, iters=3342 94.36/94.75 94.36/94.75 Low Water (keep): wt=45.000, iters=3349 94.36/94.75 94.36/94.75 Low Water (keep): wt=44.000, iters=3347 94.36/94.75 94.36/94.75 Low Water (keep): wt=43.000, iters=3343 94.36/94.75 94.36/94.75 Low Water (keep): wt=42.000, iters=3386 94.36/94.75 94.36/94.75 Low Water (keep): wt=41.000, iters=3333 94.36/94.75 94.36/94.75 Low Water (keep): wt=40.000, iters=3383 94.36/94.75 94.36/94.75 Low Water (keep): wt=39.000, iters=3343 94.36/94.75 94.36/94.75 Low Water (keep): wt=38.000, iters=3335 94.36/94.75 94.36/94.75 Low Water (keep): wt=37.000, iters=3341 94.36/94.75 94.36/94.75 Low Water (keep): wt=36.000, iters=3342 94.36/94.75 94.36/94.75 Low Water (displace): id=5494, wt=181.000 94.36/94.75 94.36/94.75 Low Water (displace): id=6006, wt=174.000 94.36/94.75 94.36/94.75 Low Water (displace): id=5793, wt=173.000 94.36/94.75 94.36/94.75 Low Water (displace): id=6122, wt=166.000 94.36/94.75 94.36/94.75 Low Water (displace): id=2271, wt=151.000 94.36/94.75 94.36/94.75 Low Water (displace): id=13149, wt=33.000 94.36/94.75 94.36/94.75 Low Water (displace): id=13190, wt=30.000 94.36/94.75 94.36/94.75 Low Water (keep): wt=35.000, iters=3337 94.36/94.75 94.36/94.75 Low Water (displace): id=13410, wt=29.000 94.36/94.75 94.36/94.75 Low Water (displace): id=13558, wt=28.000 94.36/94.75 94.36/94.75 Low Water (displace): id=13695, wt=26.000 94.36/94.75 94.36/94.75 Low Water (displace): id=13708, wt=23.000 94.36/94.75 94.36/94.75 Low Water (keep): wt=34.000, iters=3338 94.36/94.75 94.36/94.75 Low Water (keep): wt=33.000, iters=3334 94.36/94.75 94.36/94.75 Low Water (displace): id=15200, wt=22.000 94.36/94.75 94.36/94.75 Low Water (keep): wt=32.000, iters=3355 94.36/94.75 94.36/94.75 Low Water (displace): id=19323, wt=21.000 94.36/94.75 94.36/94.75 Low Water (keep): wt=31.000, iters=3338 94.36/94.75 94.36/94.75 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 51 (0.00 of 21.54 sec). 94.36/94.75 94.36/94.75 Low Water (keep): wt=30.000, iters=3353 94.36/94.75 94.36/94.75 Low Water (keep): wt=29.000, iters=3338 94.36/94.75 94.36/94.75 Low Water (keep): wt=28.000, iters=3413 94.36/94.75 94.36/94.75 Low Water (keep): wt=27.000, iters=3338 94.36/94.75 94.36/94.75 Low Water (keep): wt=26.000, iters=3334 94.36/94.75 94.36/94.75 ============================== PROOF ================================= 94.36/94.75 % SZS status Theorem 94.36/94.75 % SZS output start Refutation 94.36/94.75 94.36/94.75 % Proof 1 at 92.35 (+ 1.28) seconds: goals. 94.36/94.75 % Length of proof is 248. 94.36/94.75 % Level of proof is 35. 94.36/94.75 % Maximum clause weight is 42.000. 94.36/94.75 % Given clauses 1282. 94.36/94.75 94.36/94.75 1 (all B all A mult(mult(A,B),i(B)) = A) # label(f08) # label(axiom) # label(non_clause). [assumption]. 94.36/94.75 2 (all D all C all B all A 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) # label(non_clause). [assumption]. 94.36/94.75 3 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 94.36/94.75 6 (all B all A B = mult(i(A),mult(A,B))) # label(f07) # label(axiom) # label(non_clause). [assumption]. 94.36/94.75 7 (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(f09) # label(axiom) # label(non_clause). [assumption]. 94.36/94.75 8 (all X3 all X4 all X5 (mult(mult(X3,X4),mult(X5,X3)) = mult(mult(X3,mult(X4,X5)),X3) -> mult(X3,mult(X4,mult(X3,X5))) = mult(mult(mult(X3,X4),X3),X5))) # label(f13) # label(axiom) # label(non_clause). [assumption]. 94.36/94.75 9 (all A mult(A,unit) = A) # label(f05) # label(axiom) # label(non_clause). [assumption]. 94.36/94.75 10 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 94.36/94.75 12 (all A A = mult(unit,A)) # label(f06) # label(axiom) # label(non_clause). [assumption]. 94.36/94.75 13 (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(f11) # label(axiom) # label(non_clause). [assumption]. 94.36/94.75 14 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 94.36/94.75 15 mult(A,unit) = A # label(f05) # label(axiom). [clausify(9)]. 94.36/94.75 16 mult(unit,A) = A # label(f06) # label(axiom). [clausify(12)]. 94.36/94.75 17 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(3)]. 94.36/94.75 19 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(10)]. 94.36/94.75 20 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(14)]. 94.36/94.75 21 mult(mult(A,B),i(B)) = A # label(f08) # label(axiom). [clausify(1)]. 94.36/94.75 22 mult(i(A),mult(A,B)) = B # label(f07) # label(axiom). [clausify(6)]. 94.36/94.75 23 ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A))) # label(f11) # label(axiom). [clausify(13)]. 94.36/94.75 24 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)). [copy(23),flip(a)]. 94.36/94.75 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)]. 94.36/94.75 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)]. 94.36/94.75 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(7)]. 94.36/94.75 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)]. 94.36/94.75 29 mult(a,mult(b,mult(a,c))) != mult(mult(mult(a,b),a),c) # label(goals) # label(negated_conjecture) # answer(goals). [assumption]. 94.36/94.75 30 mult(mult(mult(a,b),a),c) != mult(a,mult(b,mult(a,c))) # answer(goals). [copy(29),flip(a)]. 94.36/94.75 32 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(8)]. 94.36/94.75 38 ld(rd(A,B),A) = B. [para(19(a,1),17(a,1,2))]. 94.36/94.75 41 mult(A,i(A)) = unit. [para(16(a,1),21(a,1,1))]. 94.36/94.75 42 ld(mult(A,B),A) = i(B). [para(21(a,1),17(a,1,2))]. 94.36/94.75 44 rd(A,B) = mult(A,i(B)). [para(19(a,1),21(a,1,1)),flip(a)]. 94.36/94.75 47 i(i(A)) = A. [back_rewrite(38),rewrite([44(1),42(3)])]. 94.36/94.75 48 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([44(4),44(9),44(16)])]. 94.36/94.75 49 mult(mult(A,i(B)),B) = A. [back_rewrite(19),rewrite([44(1)])]. 94.36/94.75 50 mult(i(A),A) = unit. [para(15(a,1),22(a,1,2))]. 94.36/94.75 53 ld(A,B) = mult(i(A),B). [para(20(a,1),22(a,1,2)),flip(a)]. 94.36/94.75 54 mult(A,i(mult(B,A))) = i(B). [para(22(a,1),21(a,1,1))]. 94.36/94.75 56 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([53(4),53(9),53(16)])]. 94.36/94.75 57 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([53(2),53(5),53(10)])]. 94.36/94.75 58 mult(A,mult(i(A),B)) = B. [back_rewrite(20),rewrite([53(1)])]. 94.36/94.75 67 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(15(a,1),32(a,1,1,2)),rewrite([16(5),15(9),15(9)]),xx(a)]. 94.36/94.75 68 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(15(a,1),32(a,2,1)),rewrite([16(2),67(2),15(7),16(10)]),xx(a)]. 94.36/94.75 83 mult(mult(a,mult(b,a)),c) != mult(a,mult(b,mult(a,c))) # answer(goals). [back_rewrite(30),rewrite([67(5)])]. 94.36/94.75 85 i(mult(A,B)) = mult(i(B),i(A)). [para(21(a,1),54(a,1,2,1)),flip(a)]. 94.36/94.75 87 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(56),rewrite([85(2),85(8),85(15)])]. 94.36/94.75 88 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(48),rewrite([85(4),85(10),85(18)])]. 94.36/94.75 90 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(21(a,1),57(a,1,1,2)),rewrite([47(2),47(3),47(7)])]. 94.36/94.75 91 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(21(a,1),57(a,1,2,2)),rewrite([47(2),47(5),47(7)])]. 94.36/94.75 93 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),57(a,1,1,2)),rewrite([85(2),85(6),85(13)])]. 94.36/94.75 94 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),57(a,1,2,2)),rewrite([85(2),85(8),85(13)])]. 94.36/94.75 101 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(49(a,1),57(a,1,2,2))]. 94.36/94.75 104 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(58(a,1),57(a,2,2)),rewrite([85(2),85(5),85(5),47(3),47(3),85(5),85(11),85(14),85(14),47(12),47(12),85(14),85(21),85(24),85(24),47(22),47(22)])]. 94.36/94.75 108 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(85(a,1),21(a,1,2))]. 94.36/94.75 109 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(85(a,1),22(a,1,1))]. 94.36/94.75 112 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(85(a,1),49(a,1,1,2))]. 94.36/94.75 113 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(85(a,1),58(a,1,2,1))]. 94.36/94.75 114 mult(mult(A,mult(B,A)),i(A)) = mult(A,B). [para(67(a,1),21(a,1,1))]. 94.36/94.75 116 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(67(a,1),22(a,1,2)),rewrite([85(2)])]. 94.36/94.75 122 mult(mult(A,mult(A,B)),i(B)) = mult(A,A). [para(68(a,1),21(a,1,1))]. 94.36/94.75 123 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [para(68(a,1),49(a,1,1))]. 94.36/94.75 170 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(21(a,1),114(a,1,1,2)),rewrite([47(4)])]. 94.36/94.75 172 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(49(a,1),114(a,1,1,2))]. 94.36/94.75 176 mult(mult(A,mult(B,A)),mult(B,A)) = mult(mult(A,B),mult(A,mult(B,A))). [para(114(a,1),67(a,1,1)),rewrite([22(10)]),flip(a)]. 94.36/94.75 184 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(104),rewrite([170(23)])]. 94.36/94.75 187 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(94),rewrite([170(10)])]. 94.36/94.75 188 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(93),rewrite([170(4)])]. 94.36/94.75 215 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(58(a,1),122(a,1,1,2)),rewrite([85(4),47(4)])]. 94.36/94.75 235 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(21(a,1),215(a,1,1)),rewrite([47(2)]),flip(a)]. 94.36/94.75 237 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(47(a,1),215(a,1,2,1))]. 94.36/94.75 238 mult(A,mult(mult(i(A),B),B)) = mult(B,B). [para(58(a,1),215(a,1,1)),rewrite([85(3),47(3)])]. 94.36/94.75 301 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(238(a,1),58(a,1,2)),rewrite([47(4)]),flip(a)]. 94.36/94.75 327 mult(mult(A,B),mult(A,mult(B,A))) = mult(A,mult(B,mult(A,mult(B,A)))). [back_rewrite(176),rewrite([301(4),235(3)]),flip(a)]. 94.36/94.75 335 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(301(a,1),21(a,1,1))]. 94.36/94.75 454 mult(mult(A,mult(i(B),C)),mult(i(C),B)) = A. [para(47(a,1),108(a,1,2,2))]. 94.36/94.75 473 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(47(a,1),109(a,1,1,2))]. 94.36/94.75 611 mult(mult(i(A),mult(i(B),A)),mult(mult(i(A),mult(B,A)),C)) = C. [para(170(a,1),109(a,1,2,1)),rewrite([85(4),47(4)])]. 94.36/94.75 650 mult(mult(A,mult(B,mult(C,i(B)))),mult(B,mult(i(C),i(B)))) = A. [para(172(a,1),108(a,1,1,2)),rewrite([47(6),85(6)])]. 94.36/94.75 652 mult(mult(A,mult(i(B),i(A))),mult(mult(A,mult(B,i(A))),C)) = C. [para(172(a,1),109(a,1,2,1)),rewrite([47(2),85(2)])]. 94.36/94.75 655 mult(mult(A,mult(B,i(A))),mult(mult(A,mult(i(B),i(A))),C)) = C. [para(172(a,1),113(a,1,1)),rewrite([47(5),85(5)])]. 94.36/94.75 1627 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),87(a,2,2,2)),rewrite([47(2),50(4),15(4),49(3),47(2),47(9)])]. 94.36/94.75 1702 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(237(a,1),87(a,1,2,2)),rewrite([85(4),47(3),22(4),85(10),47(9),22(10),22(9),170(7),85(11),47(10),22(11)])]. 94.36/94.75 2148 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(41(a,1),88(a,1,2,1)),rewrite([85(3),85(7),85(9),47(7),47(7),21(8),85(9),85(11),47(9),47(9),21(10),16(8),301(7),85(11),85(15),85(17),47(15),47(15),21(16)]),flip(a)]. 94.36/94.75 2169 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(68(a,1),88(a,1,2,1)),rewrite([108(12),2148(7),301(9)]),flip(a)]. 94.36/94.75 3027 mult(A,mult(mult(B,mult(i(A),mult(C,A))),i(A))) = mult(mult(A,mult(B,i(A))),C). [para(58(a,1),91(a,1,2)),rewrite([170(7)]),flip(a)]. 94.36/94.75 9796 mult(mult(i(A),mult(i(B),i(A))),mult(A,mult(B,mult(A,mult(B,A))))) = mult(B,A). [para(116(a,1),184(a,1,1,2,2)),rewrite([85(3),85(2),67(5),112(7),22(3),85(3),85(2),67(5),112(7),116(7),58(4),85(4),85(3),67(6),327(10)]),flip(a)]. 94.36/94.75 11492 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(67(a,1),187(a,1,1,2)),rewrite([109(8)]),flip(a)]. 94.36/94.75 11499 mult(mult(i(A),mult(B,A)),mult(C,A)) = mult(i(A),mult(mult(B,mult(A,C)),A)). [para(116(a,1),187(a,1,1,2,2)),rewrite([85(3),85(2),67(5),85(9),47(7),47(7),112(7),85(6),85(5),67(8),85(12),47(10),47(10),327(12),9796(13),85(8),85(7),67(10),85(14),47(12),47(12),112(12),85(10),47(8),47(8),116(14)])]. 94.36/94.75 11949 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(116(a,1),188(a,1,2,2,2)),rewrite([85(3),85(2),67(5),85(9),47(7),47(7),327(9),9796(10),85(4),85(3),67(6),85(10),47(8),47(8),112(8),85(8),85(7),67(10),85(14),47(12),47(12),112(12),85(10),47(8),47(8),116(14)])]. 94.36/94.75 30978 mult(mult(A,B),mult(A,mult(B,mult(mult(i(B),i(A)),C)))) = mult(A,mult(B,C)). [para(21(a,1),1627(a,1,2,1)),rewrite([85(3),21(11)])]. 94.36/94.75 30980 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(i(A),mult(mult(A,i(B)),mult(B,C))). [para(1627(a,1),22(a,1,2)),flip(a)]. 94.36/94.75 30985 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(1627(a,1),58(a,1,2)),rewrite([47(11)]),flip(a)]. 94.36/94.75 30986 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(1627(a,1),67(a,1,1)),rewrite([30980(11),170(12),1702(12),58(13)])]. 94.36/94.75 30993 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [para(91(a,1),1627(a,1,2,2)),rewrite([47(3),85(4),85(2),47(5),170(4),58(5),47(8),11949(9),30986(8),49(6),58(7),47(7),85(8),85(6),47(9),170(8),58(9),47(9)]),flip(a)]. 94.36/94.75 31111 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(58(a,1),30978(a,1,2,2,2)),rewrite([85(8),47(6),47(6)])]. 94.36/94.75 31114 mult(mult(A,B),mult(i(B),mult(i(A),C))) = mult(i(B),mult(i(A),mult(mult(A,B),C))). [para(30978(a,1),113(a,1,2)),rewrite([47(10),47(10)])]. 94.36/94.75 31117 mult(mult(i(A),B),mult(i(B),mult(A,C))) = mult(i(B),mult(A,mult(mult(i(A),B),C))). [para(30978(a,1),473(a,1,2)),rewrite([47(10)])]. 94.36/94.75 31218 mult(mult(A,B),mult(mult(A,mult(mult(i(A),i(B)),C)),B)) = mult(mult(A,C),B). [para(30978(a,1),11499(a,2,2,1)),rewrite([67(3),22(4),67(12),22(13)])]. 94.36/94.75 31263 mult(i(A),mult(mult(A,B),mult(B,C))) = mult(B,mult(i(A),mult(mult(A,B),C))). [para(22(a,1),31111(a,1,1)),rewrite([22(10)]),flip(a)]. 94.36/94.75 31267 mult(A,mult(B,mult(mult(A,B),mult(i(B),C)))) = mult(mult(A,B),mult(A,C)). [para(58(a,1),31111(a,1,2,2)),flip(a)]. 94.36/94.75 31363 mult(mult(A,B),mult(A,mult(C,B))) = mult(A,mult(mult(mult(B,A),C),B)). [para(11949(a,1),31111(a,2,2,2)),rewrite([58(5),58(10)])]. 94.36/94.75 31439 mult(mult(i(A),i(B)),mult(B,mult(mult(mult(A,B),C),A))) = mult(B,mult(C,A)). [para(31363(a,1),22(a,1,2)),rewrite([85(2)])]. 94.36/94.75 31444 mult(A,mult(mult(mult(B,A),mult(C,i(B))),B)) = mult(mult(A,B),mult(A,C)). [para(49(a,1),31363(a,1,2,2)),flip(a)]. 94.36/94.75 31445 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(58(a,1),31363(a,1,1)),rewrite([170(8)]),flip(a)]. 94.36/94.75 31592 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(B,mult(mult(A,B),mult(i(B),C))). [para(31267(a,1),22(a,1,2))]. 94.36/94.75 31607 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(170(a,1),31267(a,1,2,2,1)),rewrite([101(8),58(9),170(10)]),flip(a)]. 94.36/94.75 31678 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(mult(mult(B,A),mult(C,i(B))),B). [para(31444(a,1),22(a,1,2))]. 94.36/94.75 31799 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(21(a,1),30986(a,1,1,1)),rewrite([21(7)])]. 94.36/94.75 31802 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(22(a,1),30986(a,1,1,2)),rewrite([47(2),47(5)]),flip(a)]. 94.36/94.75 31803 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(47(a,1),30986(a,1,1,1,2)),rewrite([47(7)])]. 94.36/94.75 31904 mult(mult(A,mult(B,mult(C,mult(A,B)))),mult(i(B),i(A))) = mult(A,mult(B,C)). [para(31799(a,1),21(a,1,1)),rewrite([85(6)])]. 94.36/94.75 31908 mult(mult(i(A),mult(mult(A,B),C)),B) = mult(i(A),mult(mult(A,B),mult(C,B))). [para(22(a,1),31799(a,1,2)),rewrite([22(10)])]. 94.36/94.75 31910 mult(A,mult(B,mult(mult(i(B),C),mult(A,B)))) = mult(mult(A,C),mult(A,B)). [para(58(a,1),31799(a,1,1,2)),flip(a)]. 94.36/94.75 31994 mult(mult(A,mult(B,C)),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),C)). [para(11499(a,1),31799(a,2,2,2)),rewrite([58(4),58(10)])]. 94.36/94.75 32030 mult(A,mult(mult(mult(B,i(C)),mult(C,A)),C)) = mult(mult(A,B),mult(A,C)). [para(49(a,1),31994(a,1,1,2)),flip(a)]. 94.36/94.75 32136 mult(A,mult(mult(i(A),B),mult(mult(mult(i(B),A),C),B))) = mult(mult(A,C),B). [para(58(a,1),31802(a,1,1)),rewrite([85(3),47(3),58(11)])]. 94.36/94.75 32461 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(C,mult(mult(i(C),B),mult(A,C))). [para(31910(a,1),22(a,1,2))]. 94.36/94.75 32513 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(mult(mult(B,i(C)),mult(C,A)),C). [para(32030(a,1),22(a,1,2))]. 94.36/94.75 32568 mult(mult(A,mult(mult(i(A),i(B)),C)),B) = mult(mult(i(B),i(A)),mult(mult(A,C),B)). [para(31218(a,1),22(a,1,2)),rewrite([85(2)]),flip(a)]. 94.36/94.75 32576 mult(mult(A,mult(mult(B,A),C)),B) = mult(mult(A,B),mult(mult(A,C),B)). [para(58(a,1),31218(a,1,2,1,2)),rewrite([85(8),47(6),47(6)]),flip(a)]. 94.36/94.75 32582 mult(mult(A,B),mult(mult(mult(mult(i(B),i(A)),C),A),B)) = mult(mult(C,A),B). [para(90(a,1),31218(a,1,2,1,2)),rewrite([47(8),58(9),47(11),58(12)])]. 94.36/94.75 32655 mult(mult(A,mult(mult(mult(B,A),C),i(B))),B) = mult(mult(A,B),mult(A,C)). [para(31910(a,1),31218(a,1,2,1)),rewrite([58(6),49(5),85(7),47(5),47(5),58(9)]),flip(a)]. 94.36/94.75 32763 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(11949(a,1),32576(a,1,1,2)),rewrite([58(6),58(9)])]. 94.36/94.75 32793 mult(mult(mult(A,B),mult(A,C)),i(C)) = mult(A,mult(mult(B,mult(A,C)),i(C))). [para(21(a,1),32763(a,1,1,1,1)),rewrite([21(8)])]. 94.36/94.75 32886 mult(mult(mult(A,B),mult(A,C)),i(B)) = mult(A,mult(mult(mult(B,A),C),i(B))). [para(32655(a,1),21(a,1,1))]. 94.36/94.75 33205 mult(A,mult(B,mult(i(A),mult(mult(A,B),C)))) = mult(mult(A,B),mult(B,C)). [para(31263(a,1),22(a,1,2)),rewrite([47(2)])]. 94.36/94.75 33206 mult(i(A),mult(i(B),mult(mult(B,A),mult(A,C)))) = mult(i(B),mult(mult(B,A),C)). [para(31263(a,2),22(a,1,2))]. 94.36/94.75 33508 mult(mult(A,B),mult(i(B),mult(C,i(A)))) = mult(i(B),mult(mult(mult(B,A),C),i(A))). [para(109(a,1),31439(a,1,2,2,1)),rewrite([47(2),47(2)])]. 94.36/94.75 33549 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(652(a,1),31439(a,1,2,2,1)),rewrite([85(5),47(3),47(3),22(3)]),flip(a)]. 94.36/94.75 33779 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),31592(a,1,2,1)),rewrite([85(2),21(11),47(10)])]. 94.36/94.75 33964 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(31799(a,1),31592(a,1,2)),rewrite([22(6),85(8),49(10)]),flip(a)]. 94.36/94.75 34029 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(21(a,1),33964(a,1,1)),rewrite([21(3),47(3)]),flip(a)]. 94.36/94.75 34035 mult(A,mult(mult(i(A),B),mult(C,A))) = mult(B,mult(mult(C,B),mult(i(B),A))). [para(58(a,1),33964(a,1,1)),rewrite([58(3),85(4),47(4)]),flip(a)]. 94.36/94.75 34131 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(11499(a,1),33964(a,1,2,1)),rewrite([67(8),21(7)])]. 94.36/94.75 34487 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(34029(a,1),33205(a,1,2,2,2)),rewrite([22(5),58(10)]),flip(a)]. 94.36/94.75 34554 mult(mult(A,B),mult(i(B),mult(mult(C,mult(A,B)),i(B)))) = mult(A,mult(C,A)). [para(21(a,1),34487(a,1,1)),rewrite([21(3)]),flip(a)]. 94.36/94.75 34556 mult(mult(A,i(B)),mult(B,mult(mult(C,mult(A,i(B))),B))) = mult(A,mult(C,A)). [para(49(a,1),34487(a,1,1)),rewrite([49(3)]),flip(a)]. 94.36/94.75 34639 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),31678(a,1,2,2)),rewrite([85(2)])]. 94.36/94.75 34640 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),31678(a,2,1,1)),rewrite([47(2),101(6),58(7),85(6)]),flip(a)]. 94.36/94.75 34839 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(31994(a,1),31678(a,1,2)),rewrite([22(6),85(7),58(9)]),flip(a)]. 94.36/94.75 34842 mult(mult(mult(A,B),mult(C,i(A))),A) = mult(A,mult(mult(B,A),mult(i(A),C))). [para(31678(a,1),31592(a,1))]. 94.36/94.75 34848 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(11492),rewrite([34839(9)]),flip(a)]. 94.36/94.75 34868 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(34639),rewrite([34842(14)])]. 94.36/94.75 34875 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [para(22(a,1),34839(a,1,1,1,1)),rewrite([47(3),22(5)]),flip(a)]. 94.36/94.75 34877 mult(mult(mult(mult(i(A),B),C),A),mult(i(A),B)) = mult(mult(i(A),mult(B,C)),B). [para(47(a,1),34839(a,1,1,2))]. 94.36/94.75 34879 mult(mult(A,mult(mult(i(A),B),C)),mult(i(A),B)) = mult(mult(mult(B,C),i(A)),B). [para(58(a,1),34839(a,1,1,1,1)),rewrite([58(6)]),flip(a)]. 94.36/94.75 34887 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(34839(a,1),90(a,2,2,1)),rewrite([47(8),67(7),22(8),47(12)])]. 94.36/94.75 34908 mult(A,mult(mult(mult(B,C),A),mult(i(A),i(C)))) = mult(i(C),mult(mult(C,A),B)). [para(11949(a,1),34839(a,2,1)),rewrite([21(3),85(4),21(9),34842(7),67(14),21(13)])]. 94.36/94.75 34936 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(31802(a,1),34839(a,1,1,1)),rewrite([21(5),67(4),34487(4),58(9)]),flip(a)]. 94.36/94.75 34949 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(34029(a,1),34839(a,2,1)),rewrite([21(3),85(5),21(10),34842(8)])]. 94.36/94.75 34954 mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),B)) = mult(i(A),mult(mult(A,C),B)). [back_rewrite(34868),rewrite([34908(14)])]. 94.36/94.75 34960 mult(mult(A,mult(B,mult(mult(C,A),B))),i(B)) = mult(A,mult(mult(B,C),A)). [para(34936(a,1),21(a,1,1))]. 94.36/94.75 34964 mult(mult(A,mult(B,mult(C,B))),C) = mult(mult(A,B),mult(C,mult(B,C))). [para(22(a,1),34936(a,2,2,2,1)),rewrite([34487(6),49(3)])]. 94.36/94.75 34965 mult(mult(A,mult(i(B),mult(mult(C,A),i(B)))),B) = mult(A,mult(mult(i(B),C),A)). [para(34936(a,1),49(a,1,1))]. 94.36/94.75 34967 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [para(58(a,1),34936(a,1,1,2,1)),flip(a)]. 94.36/94.75 35010 mult(mult(A,mult(B,i(C))),mult(C,B)) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(22(a,1),34964(a,2,2,2)),rewrite([172(4),22(5),301(9)])]. 94.36/94.75 35014 mult(mult(A,mult(B,mult(B,i(C)))),C) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(49(a,1),34964(a,2,2,2)),rewrite([34487(6),172(4),22(5),35010(10)])]. 94.36/94.75 35151 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(90(a,1),34875(a,1,1,2)),rewrite([22(7)]),flip(a)]. 94.36/94.75 35195 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(11949(a,1),34875(a,1,1,2)),rewrite([58(13)])]. 94.36/94.75 35451 mult(mult(i(A),mult(mult(mult(A,B),C),i(B))),B) = mult(mult(B,A),mult(i(A),C)). [para(49(a,1),31803(a,2,2,2)),rewrite([33508(6)])]. 94.36/94.75 35458 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(170(a,1),31803(a,2,2,2)),rewrite([31114(6),31114(14)])]. 94.36/94.75 35517 mult(mult(i(A),i(B)),mult(mult(B,mult(A,C)),A)) = mult(mult(C,mult(A,B)),i(B)). [para(31904(a,1),34936(a,1,1,2)),rewrite([30985(6),32568(7),34556(20),172(13),22(14)])]. 94.36/94.75 35524 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(34848),rewrite([35517(14)])]. 94.36/94.75 35720 mult(mult(A,mult(mult(A,B),i(C))),C) = mult(A,mult(mult(A,mult(B,i(C))),C)). [para(32655(a,1),32136(a,1,2,2)),rewrite([170(5),31607(9),473(10),58(8)]),flip(a)]. 94.36/94.75 35731 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),32461(a,1,2,1)),rewrite([85(2),33779(7)]),flip(a)]. 94.36/94.75 35777 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(32461(a,2),34839(a,2,1)),rewrite([58(3),58(7)]),flip(a)]. 94.36/94.75 35852 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(32513(a,1),32461(a,1))]. 94.36/94.75 35859 mult(mult(mult(mult(i(A),i(B)),C),B),A) = mult(mult(i(A),i(B)),mult(mult(C,B),A)). [para(32582(a,1),22(a,1,2)),rewrite([85(2)]),flip(a)]. 94.36/94.75 35873 mult(mult(mult(A,B),C),mult(i(C),i(B))) = mult(i(C),mult(i(B),mult(mult(B,C),A))). [para(32582(a,1),172(a,1,1)),rewrite([85(4),35859(13),85(15),67(17),34487(17),21(13),21(12),31114(12)])]. 94.36/94.75 35905 mult(mult(mult(A,mult(i(B),i(C))),C),B) = mult(i(B),mult(i(C),mult(mult(C,B),A))). [para(34487(a,1),32582(a,1,2,1,1)),rewrite([34965(10),170(8),49(7),31114(6)]),flip(a)]. 94.36/94.75 35906 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(32582(a,1),34839(a,1,1,1)),rewrite([35859(12),35731(13),58(11)])]. 94.36/94.75 35911 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(2148),rewrite([35873(6),35458(7)]),flip(a)]. 94.36/94.75 35918 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(2169),rewrite([35911(14)])]. 94.36/94.75 35933 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(109(a,1),35906(a,1,1,1)),rewrite([47(2),31802(6)]),flip(a)]. 94.36/94.75 35939 mult(mult(mult(A,mult(i(B),C)),C),mult(i(C),B)) = mult(mult(mult(A,i(B)),C),B). [para(35906(a,1),454(a,1,1)),rewrite([47(12)])]. 94.36/94.75 36145 mult(mult(A,mult(mult(B,mult(A,C)),i(C))),C) = mult(mult(A,B),mult(A,C)). [para(32793(a,1),21(a,1,1)),rewrite([47(7)])]. 94.36/94.75 36190 mult(mult(A,mult(mult(B,C),mult(i(C),A))),mult(i(A),C)) = mult(mult(A,B),C). [para(58(a,1),36145(a,1,1,2,1,2)),rewrite([85(4),47(4),58(12)])]. 94.36/94.75 36368 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(31363(a,1),32886(a,1,1))]. 94.36/94.75 36411 mult(i(A),mult(B,mult(mult(i(B),A),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [para(34035(a,2),22(a,1,2))]. 94.36/94.75 36466 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(11499(a,1),34035(a,1,2)),rewrite([58(6),85(8),170(10),35524(11)]),flip(a)]. 94.36/94.75 36481 mult(A,mult(mult(B,mult(i(C),mult(A,C))),i(C))) = mult(mult(mult(A,B),i(C)),A). [para(58(a,1),36466(a,1,1)),rewrite([170(3),34879(14)])]. 94.36/94.75 36523 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(36466(a,1),31802(a,2,1)),rewrite([36145(8),34131(7),67(3),22(4)]),flip(a)]. 94.36/94.75 36528 mult(mult(A,mult(mult(B,A),C)),i(C)) = mult(i(C),mult(mult(C,mult(A,B)),A)). [para(36466(a,1),33964(a,2,2)),rewrite([22(3),22(5),85(5),34949(8)])]. 94.36/94.75 36534 mult(mult(mult(A,mult(B,C)),i(C)),A) = mult(A,mult(i(C),mult(mult(C,B),A))). [para(32461(a,2),36466(a,2,1)),rewrite([58(3),170(4),11949(5),67(7),21(6),35777(13)]),flip(a)]. 94.36/94.75 36537 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(34887),rewrite([36523(11),22(12)])]. 94.36/94.75 36547 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [back_rewrite(35151),rewrite([36523(6),49(3)]),flip(a)]. 94.36/94.75 36566 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(58(a,1),36523(a,1,1,1,2)),rewrite([170(6)]),flip(a)]. 94.36/94.75 36605 mult(mult(mult(mult(A,B),i(C)),A),C) = mult(A,mult(mult(mult(B,i(C)),A),C)). [para(34035(a,1),36523(a,2)),rewrite([34879(7),35939(12)])]. 94.36/94.75 36609 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(34131),rewrite([36566(12)])]. 94.36/94.75 36658 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(B,mult(A,mult(C,B))). [para(21(a,1),36537(a,1,2)),rewrite([47(2),33964(12)])]. 94.36/94.75 36675 mult(mult(mult(A,mult(B,i(C))),C),A) = mult(A,mult(C,mult(mult(i(C),B),A))). [para(101(a,1),36537(a,1,1,2)),rewrite([47(2),58(7),21(7),33964(13)])]. 94.36/94.75 36757 mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,A)))) = mult(mult(C,mult(A,B)),i(B)). [para(652(a,1),36547(a,1,1,1)),rewrite([85(4),47(2),47(2),49(6),33549(13)]),flip(a)]. 94.36/94.75 36812 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(36466(a,1),36547(a,1,1,1)),rewrite([21(5),49(9)])]. 94.36/94.75 36823 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(58(a,1),36812(a,1,1,2)),flip(a)]. 94.36/94.75 36876 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(58(a,1),36566(a,1,2,2,1,2)),rewrite([85(5),47(5),170(5),30993(7),31803(10)]),flip(a)]. 94.36/94.75 36948 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(31802),rewrite([36876(6),172(3),91(5)])]. 94.36/94.75 37206 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(36537(a,1),36609(a,1,2,2)),rewrite([22(6),58(9)]),flip(a)]. 94.36/94.75 37214 mult(mult(mult(A,B),mult(mult(C,B),A)),i(A)) = mult(mult(mult(A,B),C),B). [para(37206(a,1),21(a,1,1))]. 94.36/94.75 37225 mult(mult(A,B),mult(C,mult(C,A))) = mult(A,mult(mult(B,mult(C,C)),A)). [para(123(a,1),37206(a,2,2,1)),rewrite([35014(6),21(3),67(4),68(7)]),flip(a)]. 94.36/94.75 37291 mult(mult(mult(i(A),B),C),mult(A,B)) = mult(i(A),mult(B,mult(mult(C,A),B))). [para(58(a,1),37225(a,1,2,2)),rewrite([34487(13),335(10)])]. 94.36/94.75 37552 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(36823(a,1),172(a,1,1)),flip(a)]. 94.36/94.75 37711 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(170(a,1),36948(a,1,2,2,1,2)),rewrite([3027(9),170(10)]),flip(a)]. 94.36/94.75 37732 mult(mult(A,i(B)),mult(B,mult(C,A))) = mult(A,mult(mult(C,B),mult(i(B),A))). [para(30986(a,1),36948(a,2)),rewrite([47(7),34842(6),22(7)]),flip(a)]. 94.36/94.75 37738 mult(mult(A,B),mult(A,mult(mult(B,A),mult(i(A),C)))) = mult(A,mult(B,mult(A,mult(B,C)))). [para(34839(a,1),36948(a,1,2,2,1)),rewrite([21(5),35720(11),34842(10)]),flip(a)]. 94.36/94.75 37748 mult(mult(A,B),mult(mult(C,B),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(36948(a,1),36658(a,1,1)),rewrite([58(4),37206(4),58(8),85(10),85(8),47(11),170(10),35524(11),49(9)])]. 94.36/94.75 37750 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(31445),rewrite([37711(7)])]. 94.36/94.75 37784 mult(A,mult(mult(B,mult(C,mult(B,A))),i(A))) = mult(mult(mult(A,B),C),B). [back_rewrite(37214),rewrite([37748(4),172(6)])]. 94.36/94.75 37795 mult(mult(mult(A,B),mult(i(B),C)),B) = mult(mult(mult(A,C),mult(B,A)),i(A)). [back_rewrite(37552),rewrite([37784(8)])]. 94.36/94.75 37804 mult(A,mult(B,mult(mult(C,i(B)),mult(B,A)))) = mult(mult(A,B),mult(C,A)). [para(49(a,1),37748(a,1,2,1)),flip(a)]. 94.36/94.75 37805 mult(mult(A,B),mult(i(A),mult(i(B),mult(mult(B,A),C)))) = mult(A,mult(B,C)). [para(49(a,1),37748(a,2,2,2)),rewrite([85(3),35905(7)])]. 94.36/94.75 37832 mult(i(A),mult(i(B),mult(mult(mult(B,A),C),B))) = mult(mult(C,mult(B,A)),i(A)). [para(37748(a,1),611(a,1,2)),rewrite([21(9),101(10),35451(9),11949(6)])]. 94.36/94.75 37866 mult(mult(mult(A,mult(B,C)),i(C)),mult(C,B)) = mult(mult(mult(A,B),C),B). [back_rewrite(35195),rewrite([37832(7)])]. 94.36/94.75 38613 mult(i(A),mult(mult(A,B),mult(C,A))) = mult(B,mult(mult(C,i(B)),mult(B,A))). [para(37804(a,1),22(a,1,2))]. 94.36/94.75 38713 mult(i(A),mult(i(B),mult(mult(B,A),mult(C,B)))) = mult(mult(C,i(A)),mult(A,B)). [para(49(a,1),37866(a,1,1,1)),rewrite([85(6),35905(10),35458(11)]),flip(a)]. 94.36/94.75 38779 mult(mult(mult(A,mult(B,B)),C),mult(i(C),i(B))) = mult(mult(A,i(C)),mult(C,B)). [back_rewrite(35918),rewrite([38713(14)])]. 94.36/94.75 39595 mult(A,mult(mult(i(A),mult(B,mult(C,A))),C)) = mult(mult(B,C),mult(A,C)). [para(34554(a,1),36537(a,1,1,2)),rewrite([22(4),170(10),49(9)]),flip(a)]. 94.36/94.75 39596 mult(mult(A,B),mult(mult(A,mult(C,B)),i(B))) = mult(A,mult(mult(B,A),C)). [para(36547(a,1),34554(a,1,2,2,1)),rewrite([172(7),22(8),49(11)])]. 94.36/94.75 39622 mult(mult(mult(A,mult(B,mult(C,i(B)))),B),i(C)) = mult(i(C),mult(mult(C,A),B)). [para(650(a,1),39595(a,1,2,1,2)),rewrite([85(7),47(5),47(5),34954(7),49(13)]),flip(a)]. 94.36/94.75 39629 mult(A,mult(mult(i(A),mult(B,mult(C,A))),B)) = mult(mult(mult(B,C),A),B). [para(39595(a,1),34035(a,1,2)),rewrite([170(4),11949(5),58(6),85(6),47(6),58(8),34877(11)]),flip(a)]. 94.36/94.75 39665 mult(A,mult(mult(B,mult(mult(i(B),C),A)),i(A))) = mult(mult(A,mult(C,i(B))),B). [para(39596(a,1),655(a,1,2)),rewrite([49(7),91(7),85(16),47(14),47(14),34640(14)])]. 94.36/94.75 39680 mult(A,mult(B,mult(i(A),mult(mult(A,C),B)))) = mult(mult(A,mult(B,C)),B). [para(34035(a,2),39596(a,1,2,1)),rewrite([58(3),85(8),47(8),34879(8),36534(5),170(9),11499(11),58(12)])]. 94.36/94.75 39688 mult(A,mult(mult(i(A),mult(B,C)),B)) = mult(B,mult(A,mult(mult(i(A),C),B))). [para(49(a,1),39629(a,1,2,1,2,2)),rewrite([36675(10)])]. 94.36/94.75 39698 mult(mult(A,mult(i(B),mult(mult(B,C),A))),B) = mult(A,mult(mult(C,A),B)). [para(90(a,1),39629(a,2,1)),rewrite([85(7),85(6),47(5),172(7),91(13),67(14),49(13),91(12),39665(12),39622(7),67(12),49(11)])]. 94.36/94.75 39747 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(91(a,1),39680(a,1,2)),rewrite([47(5),36481(9),47(8),36605(7),172(4),58(9),47(9),47(14),34879(15)]),flip(a)]. 94.36/94.75 39811 mult(mult(i(A),mult(mult(A,B),C)),C) = mult(i(A),mult(mult(A,mult(B,C)),C)). [para(34960(a,1),39698(a,1,1,2,2)),rewrite([22(6),172(11),21(10)])]. 94.36/94.75 40804 mult(mult(A,B),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(A,C))). [para(35720(a,1),11949(a,2,2)),rewrite([49(7),34842(13),37738(14),22(12)])]. 94.36/94.75 40847 mult(A,mult(mult(mult(B,C),mult(i(C),A)),i(A))) = mult(mult(A,i(C)),mult(C,B)). [para(40804(a,1),652(a,1,2)),rewrite([91(10),35852(6),36411(7),85(10),47(9),49(12)])]. 94.36/94.75 41354 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(36190(a,1),34487(a,1,2)),rewrite([172(13),40847(13),35852(11)]),flip(a)]. 94.36/94.75 42225 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(37291(a,1),34029(a,1,2,2)),rewrite([31114(9),33206(9)])]. 94.36/94.75 42591 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [para(335(a,1),37732(a,1,2,2)),rewrite([38779(14)])]. 94.36/94.75 42654 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(37795(a,2),32886(a,2,2)),rewrite([31363(4),36368(6)]),flip(a)]. 94.36/94.75 42678 mult(i(A),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(mult(i(B),i(A)),C))). [para(37805(a,1),113(a,1,2)),rewrite([31114(6),47(8),47(8)])]. 94.36/94.75 42682 mult(i(A),mult(B,mult(mult(i(B),A),C))) = mult(A,mult(i(B),mult(mult(B,i(A)),C))). [para(37805(a,1),473(a,1,2)),rewrite([31117(6),47(8)])]. 94.36/94.75 42722 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(35933),rewrite([42678(6)])]. 94.36/94.75 42734 mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(36411),rewrite([42682(7)])]. 94.36/94.75 42973 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(38613(a,2),67(a,1,1)),rewrite([31908(6),42225(6),35852(11)])]. 94.36/94.75 43443 mult(A,mult(B,mult(mult(i(B),mult(i(A),C)),A))) = mult(B,mult(mult(i(B),C),A)). [para(58(a,1),39688(a,1,2,1,2)),flip(a)]. 94.36/94.75 43495 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [para(109(a,1),39811(a,1,1,2)),rewrite([47(2),47(6),42678(10),42722(13)])]. 94.36/94.75 43519 mult(A,mult(mult(mult(mult(i(A),B),C),A),B)) = mult(mult(mult(B,C),A),B). [back_rewrite(42225),rewrite([43495(5),22(6)]),flip(a)]. 94.36/94.75 43536 mult(A,mult(A,mult(mult(i(A),B),mult(C,A)))) = mult(mult(mult(A,B),C),A). [back_rewrite(42973),rewrite([43519(6)]),flip(a)]. 94.36/94.75 43543 mult(mult(i(A),B),mult(mult(A,C),B)) = mult(i(A),mult(mult(mult(B,A),C),B)). [back_rewrite(41354),rewrite([43536(7)]),flip(a)]. 94.36/94.75 43549 mult(mult(mult(A,B),mult(C,i(B))),A) = mult(A,mult(B,mult(C,mult(i(B),A)))). [back_rewrite(37750),rewrite([43543(7),58(8)])]. 94.36/94.75 43553 mult(i(A),mult(mult(A,B),mult(C,A))) = mult(mult(B,C),A). [para(43495(a,1),22(a,1,2)),rewrite([85(2),42591(8),21(5)])]. 94.36/94.75 43569 mult(mult(A,mult(B,mult(A,C))),B) = mult(A,mult(mult(mult(B,A),C),B)). [para(43495(a,1),90(a,2,2,1)),rewrite([21(5),31363(4),36528(10),58(11)]),flip(a)]. 94.36/94.75 43571 mult(mult(A,mult(i(B),C)),B) = mult(mult(A,i(B)),mult(C,B)). [para(43495(a,1),611(a,1,2)),rewrite([39747(11),101(13),36528(10),43569(9),43549(8),22(10),22(8),67(6),22(7)])]. 94.36/94.75 43650 mult(mult(A,B),mult(i(B),C)) = mult(B,mult(mult(i(B),A),C)). [back_rewrite(42734),rewrite([43553(6)]),flip(a)]. 94.36/94.75 43718 mult(mult(A,mult(B,C)),i(C)) = mult(C,mult(mult(i(C),A),B)). [back_rewrite(43443),rewrite([43571(5),36757(7)])]. 94.36/94.75 43735 mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))). [back_rewrite(42654),rewrite([43650(4),67(5),34967(6),43718(8),22(6)])]. 94.36/94.75 43736 $F # answer(goals). [resolve(43735,a,83,a)]. 94.36/94.75 94.36/94.75 % SZS output end Refutation 94.36/94.75 ============================== end of proof ========================== 94.36/94.75 94.36/94.75 ============================== STATISTICS ============================ 94.36/94.75 94.36/94.75 Given=1282. Generated=2291876. Kept=43717. proofs=1. 94.36/94.75 Usable=717. Sos=9698. Demods=10241. Limbo=164, Disabled=33152. Hints=0. 94.36/94.75 Megabytes=42.45. 94.36/94.75 User_CPU=92.35, System_CPU=1.28, Wall_clock=94. 94.36/94.75 94.36/94.75 ============================== end of statistics ===================== 94.36/94.75 94.36/94.75 ============================== end of search ========================= 94.36/94.75 94.36/94.75 THEOREM PROVED 94.36/94.75 % SZS status Theorem 94.36/94.75 94.36/94.75 Exiting with 1 proof. 94.36/94.75 94.36/94.75 Process 18950 exit (max_proofs) Tue Jul 13 15:05:29 2021 94.36/94.75 Prover9 interrupted 94.36/94.76 EOF