0.09/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.11	% Command  : tptp2X_and_run_prover9 %d %s
0.10/0.32	% Computer : n002.cluster.edu
0.10/0.32	% Model    : x86_64 x86_64
0.10/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.32	% Memory   : 8042.1875MB
0.10/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.32	% CPULimit : 1440
0.10/0.32	% WCLimit  : 180
0.10/0.32	% DateTime : Mon Jul  3 07:15:37 EDT 2023
0.16/0.32	% CPUTime  : 
4.01/4.35	============================== Prover9 ===============================
4.01/4.35	Prover9 (32) version 2009-11A, November 2009.
4.01/4.35	Process 4390 was started by sandbox on n002.cluster.edu,
4.01/4.35	Mon Jul  3 07:15:38 2023
4.01/4.35	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1440 -f /tmp/Prover9_4237_n002.cluster.edu".
4.01/4.35	============================== end of head ===========================
4.01/4.35	
4.01/4.35	============================== INPUT =================================
4.01/4.35	
4.01/4.35	% Reading from file /tmp/Prover9_4237_n002.cluster.edu
4.01/4.35	
4.01/4.35	set(prolog_style_variables).
4.01/4.35	set(auto2).
4.01/4.35	    % set(auto2) -> set(auto).
4.01/4.35	    % set(auto) -> set(auto_inference).
4.01/4.35	    % set(auto) -> set(auto_setup).
4.01/4.35	    % set(auto_setup) -> set(predicate_elim).
4.01/4.35	    % set(auto_setup) -> assign(eq_defs, unfold).
4.01/4.35	    % set(auto) -> set(auto_limits).
4.01/4.35	    % set(auto_limits) -> assign(max_weight, "100.000").
4.01/4.35	    % set(auto_limits) -> assign(sos_limit, 20000).
4.01/4.35	    % set(auto) -> set(auto_denials).
4.01/4.35	    % set(auto) -> set(auto_process).
4.01/4.35	    % set(auto2) -> assign(new_constants, 1).
4.01/4.35	    % set(auto2) -> assign(fold_denial_max, 3).
4.01/4.35	    % set(auto2) -> assign(max_weight, "200.000").
4.01/4.35	    % set(auto2) -> assign(max_hours, 1).
4.01/4.35	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
4.01/4.35	    % set(auto2) -> assign(max_seconds, 0).
4.01/4.35	    % set(auto2) -> assign(max_minutes, 5).
4.01/4.35	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
4.01/4.35	    % set(auto2) -> set(sort_initial_sos).
4.01/4.35	    % set(auto2) -> assign(sos_limit, -1).
4.01/4.35	    % set(auto2) -> assign(lrs_ticks, 3000).
4.01/4.35	    % set(auto2) -> assign(max_megs, 400).
4.01/4.35	    % set(auto2) -> assign(stats, some).
4.01/4.35	    % set(auto2) -> clear(echo_input).
4.01/4.35	    % set(auto2) -> set(quiet).
4.01/4.35	    % set(auto2) -> clear(print_initial_clauses).
4.01/4.35	    % set(auto2) -> clear(print_given).
4.01/4.35	assign(lrs_ticks,-1).
4.01/4.35	assign(sos_limit,10000).
4.01/4.35	assign(order,kbo).
4.01/4.35	set(lex_order_vars).
4.01/4.35	clear(print_given).
4.01/4.35	
4.01/4.35	% formulas(sos).  % not echoed (6 formulas)
4.01/4.35	
4.01/4.35	============================== end of input ==========================
4.01/4.35	
4.01/4.35	% From the command line: assign(max_seconds, 1440).
4.01/4.35	
4.01/4.35	============================== PROCESS NON-CLAUSAL FORMULAS ==========
4.01/4.35	
4.01/4.35	% Formulas that are not ordinary clauses:
4.01/4.35	1 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause).  [assumption].
4.01/4.35	2 (all C all B all A mult(A,mult(B,mult(C,B))) = mult(mult(mult(A,B),C),B)) # label(f05) # label(axiom) # label(non_clause).  [assumption].
4.01/4.35	3 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause).  [assumption].
4.01/4.35	4 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause).  [assumption].
4.01/4.35	5 (all B all A A = rd(mult(A,B),B)) # label(f04) # label(axiom) # label(non_clause).  [assumption].
4.01/4.35	6 -(all X0 all X1 (X0 = mult(X0,ld(X1,X1)) & mult(ld(X1,X1),X0) = X0)) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
4.01/4.35	
4.01/4.35	============================== end of process non-clausal formulas ===
4.01/4.35	
4.01/4.35	============================== PROCESS INITIAL CLAUSES ===============
4.01/4.35	
4.01/4.35	============================== PREDICATE ELIMINATION =================
4.01/4.35	
4.01/4.35	============================== end predicate elimination =============
4.01/4.35	
4.01/4.35	Auto_denials:
4.01/4.35	  % copying label goals to answer in negative clause
4.01/4.35	
4.01/4.35	Term ordering decisions:
4.01/4.35	Function symbol KB weights:  c1=1. c2=1. mult=1. ld=1. rd=1.
4.01/4.35	
4.01/4.35	============================== end of process initial clauses ========
4.01/4.35	
4.01/4.35	============================== CLAUSES FOR SEARCH ====================
4.01/4.35	
4.01/4.35	============================== end of clauses for search =============
4.01/4.35	
4.01/4.35	============================== SEARCH ================================
4.01/4.35	
4.01/4.35	% Starting search at 0.01 seconds.
4.01/4.35	
4.01/4.35	Low Water (keep): wt=95.000, iters=3360
4.01/4.35	
4.01/4.35	Low Water (keep): wt=83.000, iters=3339
4.01/4.35	
4.01/4.35	Low Water (keep): wt=79.000, iters=3347
4.01/4.35	
4.01/4.35	Low Water (keep): wt=71.000, iters=3385
4.01/4.35	
4.01/4.35	Low Water (keep): wt=67.000, iters=3345
4.01/4.35	
4.01/4.35	Low Water (keep): wt=59.000, iters=3377
4.01/4.35	
4.01/4.35	Low Water (keep): wt=55.000, iters=3404
4.01/4.35	
4.01/4.35	Low Water (keep): wt=51.000, iters=3348
4.01/4.35	
4.01/4.35	Low Water (keep): wt=47.000, iters=3343
4.01/4.35	
4.01/4.35	Low Water (keep): wt=43.000, iters=3343
4.01/4.35	
4.01/4.35	Low Water (keep): wt=39.000, iters=3334
4.01/4.35	
4.01/4.35	Low Water (keep): wt=35.000, iters=3347
4.01/4.35	
4.01/4.35	Low Water (keep): wt=31.000, iters=3395
35.16/35.51	
35.16/35.51	Low Water (displace): id=4351, wt=183.000
35.16/35.51	
35.16/35.51	Low Water (displace): id=4369, wt=151.000
35.16/35.51	
35.16/35.51	Low Water (displace): id=6134, wt=147.000
35.16/35.51	
35.16/35.51	Low Water (displace): id=12614, wt=23.000
35.16/35.51	
35.16/35.51	Low Water (displace): id=13173, wt=19.000
35.16/35.51	
35.16/35.51	Low Water (keep): wt=27.000, iters=3371
35.16/35.51	
35.16/35.51	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 42 (0.00 of 14.18 sec).
35.16/35.51	
35.16/35.51	============================== PROOF =================================
35.16/35.51	% SZS status Theorem
35.16/35.51	% SZS output start Refutation
35.16/35.51	
35.16/35.51	% Proof 1 at 33.61 (+ 0.80) seconds: goals.
35.16/35.51	% Length of proof is 203.
35.16/35.51	% Level of proof is 37.
35.16/35.51	% Maximum clause weight is 59.000.
35.16/35.51	% Given clauses 734.
35.16/35.51	
35.16/35.51	1 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause).  [assumption].
35.16/35.51	2 (all C all B all A mult(A,mult(B,mult(C,B))) = mult(mult(mult(A,B),C),B)) # label(f05) # label(axiom) # label(non_clause).  [assumption].
35.16/35.51	3 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause).  [assumption].
35.16/35.51	4 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause).  [assumption].
35.16/35.51	5 (all B all A A = rd(mult(A,B),B)) # label(f04) # label(axiom) # label(non_clause).  [assumption].
35.16/35.51	6 -(all X0 all X1 (X0 = mult(X0,ld(X1,X1)) & mult(ld(X1,X1),X0) = X0)) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
35.16/35.51	7 mult(A,ld(A,B)) = B # label(f01) # label(axiom).  [clausify(1)].
35.16/35.51	8 ld(A,mult(A,B)) = B # label(f02) # label(axiom).  [clausify(3)].
35.16/35.51	9 mult(rd(A,B),B) = A # label(f03) # label(axiom).  [clausify(4)].
35.16/35.51	10 rd(mult(A,B),B) = A # label(f04) # label(axiom).  [clausify(5)].
35.16/35.51	11 mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))) # label(f05) # label(axiom).  [clausify(2)].
35.16/35.51	12 mult(c1,ld(c2,c2)) != c1 | mult(ld(c2,c2),c1) != c1 # label(goals) # label(negated_conjecture) # answer(goals).  [clausify(6)].
35.16/35.51	13 ld(rd(A,B),A) = B.  [para(9(a,1),8(a,1,2))].
35.16/35.51	14 rd(A,ld(B,A)) = B.  [para(7(a,1),10(a,1,1))].
35.16/35.51	15 mult(A,mult(ld(A,B),mult(C,ld(A,B)))) = mult(mult(B,C),ld(A,B)).  [para(7(a,1),11(a,1,1,1)),flip(a)].
35.16/35.51	16 mult(A,mult(B,mult(ld(mult(A,B),C),B))) = mult(C,B).  [para(7(a,1),11(a,1,1)),flip(a)].
35.16/35.51	17 ld(mult(mult(A,B),C),mult(A,mult(B,mult(C,B)))) = B.  [para(11(a,1),8(a,1,2))].
35.16/35.51	18 mult(rd(A,B),mult(B,mult(C,B))) = mult(mult(A,C),B).  [para(9(a,1),11(a,1,1,1)),flip(a)].
35.16/35.51	19 rd(mult(A,mult(B,mult(C,B))),B) = mult(mult(A,B),C).  [para(11(a,1),10(a,1,1))].
35.16/35.51	20 mult(mult(mult(A,mult(B,mult(C,B))),D),B) = mult(mult(mult(A,B),C),mult(B,mult(D,B))).  [para(11(a,1),11(a,1,1,1))].
35.16/35.51	21 mult(mult(A,mult(B,mult(C,B))),C) = mult(mult(A,B),mult(C,mult(B,C))).  [para(11(a,1),11(a,1,1))].
35.16/35.51	22 mult(A,mult(mult(B,mult(C,B)),mult(D,mult(B,mult(C,B))))) = mult(A,mult(B,mult(mult(C,mult(mult(B,mult(D,B)),C)),B))).  [para(11(a,1),11(a,2)),rewrite([20(5),11(6),11(7)]),flip(a)].
35.16/35.51	23 mult(A,mult(ld(mult(B,A),C),A)) = ld(B,mult(C,A)).  [para(16(a,1),8(a,1,2)),flip(a)].
35.16/35.51	25 ld(mult(mult(A,ld(B,C)),B),mult(A,mult(ld(B,C),C))) = ld(B,C).  [para(7(a,1),17(a,1,2,2,2))].
35.16/35.51	28 ld(mult(mult(A,mult(B,mult(C,B))),D),mult(mult(mult(A,B),C),mult(B,mult(D,B)))) = B.  [para(11(a,1),17(a,1,1,1))].
35.16/35.51	33 mult(mult(A,rd(B,C)),C) = mult(rd(A,C),mult(C,B)).  [para(9(a,1),18(a,1,2,2)),flip(a)].
35.16/35.51	34 rd(mult(mult(A,B),C),mult(C,mult(B,C))) = rd(A,C).  [para(18(a,1),10(a,1,1))].
35.16/35.51	39 mult(mult(A,B),ld(B,A)) = mult(B,mult(ld(B,A),A)).  [para(7(a,1),15(a,1,2,2)),flip(a)].
35.16/35.51	40 ld(A,mult(mult(B,C),ld(A,B))) = mult(ld(A,B),mult(C,ld(A,B))).  [para(15(a,1),8(a,1,2))].
35.16/35.51	46 rd(mult(A,mult(B,C)),B) = mult(mult(A,B),rd(C,B)).  [para(9(a,1),19(a,1,1,2,2))].
35.16/35.51	47 mult(mult(rd(A,mult(B,mult(C,B))),B),C) = rd(A,B).  [para(9(a,1),19(a,1,1)),flip(a)].
35.16/35.51	49 ld(A,ld(B,mult(C,A))) = mult(ld(mult(B,A),C),A).  [para(23(a,1),8(a,1,2))].
35.16/35.51	50 ld(rd(A,B),mult(C,B)) = mult(B,mult(ld(A,C),B)).  [para(9(a,1),23(a,1,2,1,1)),flip(a)].
35.16/35.51	58 mult(mult(A,ld(mult(B,C),D)),C) = mult(rd(A,C),ld(B,mult(D,C))).  [para(23(a,1),18(a,1,2)),flip(a)].
35.16/35.51	79 mult(rd(rd(A,rd(B,C)),C),mult(C,B)) = mult(A,C).  [para(9(a,1),33(a,1,1)),flip(a)].
35.16/35.51	117 rd(mult(A,B),mult(B,mult(C,B))) = rd(rd(A,C),B).  [para(9(a,1),34(a,1,1,1))].
35.16/35.51	149 mult(mult(A,B),rd(ld(B,C),B)) = rd(mult(A,C),B).  [para(7(a,1),46(a,1,1,2)),flip(a)].
35.16/35.51	151 mult(mult(rd(A,mult(B,C)),B),rd(C,B)) = rd(A,B).  [para(9(a,1),46(a,1,1)),flip(a)].
35.16/35.51	166 mult(rd(A,mult(B,mult(C,B))),B) = rd(rd(A,B),C).  [para(47(a,1),10(a,1,1)),flip(a)].
35.16/35.51	183 ld(mult(mult(mult(A,B),mult(C,mult(B,C))),D),mult(mult(A,mult(B,mult(C,B))),mult(C,mult(D,C)))) = C.  [para(21(a,1),17(a,1,1,1))].
35.16/35.51	184 ld(mult(mult(A,B),mult(C,mult(B,C))),mult(A,mult(B,mult(mult(C,mult(mult(B,mult(C,B)),C)),B)))) = mult(B,mult(C,B)).  [para(21(a,1),17(a,1,1)),rewrite([22(11)])].
35.16/35.51	203 mult(ld(mult(A,B),A),B) = ld(B,B).  [para(8(a,1),49(a,1,2)),flip(a)].
35.16/35.51	204 mult(ld(mult(A,B),rd(C,B)),B) = ld(B,ld(A,C)).  [para(9(a,1),49(a,1,2,2)),flip(a)].
35.16/35.51	206 mult(ld(mult(rd(mult(A,B),C),B),A),B) = ld(B,C).  [para(13(a,1),49(a,1,2)),flip(a)].
35.16/35.51	216 ld(ld(A,B),ld(A,B)) = mult(ld(B,A),ld(A,B)).  [para(7(a,1),203(a,1,1,1)),flip(a)].
35.16/35.51	217 ld(ld(mult(A,B),A),ld(B,B)) = B.  [para(203(a,1),8(a,1,2))].
35.16/35.51	218 mult(ld(A,rd(A,B)),B) = ld(B,B).  [para(9(a,1),203(a,1,1,1))].
35.16/35.51	219 rd(ld(A,A),A) = ld(mult(B,A),B).  [para(203(a,1),10(a,1,1))].
35.16/35.51	220 mult(ld(mult(A,B),A),mult(B,mult(C,B))) = mult(mult(ld(B,B),C),B).  [para(203(a,1),11(a,1,1,1)),flip(a)].
35.16/35.51	226 mult(A,mult(ld(ld(A,A),B),A)) = ld(ld(mult(C,A),C),mult(B,A)).  [para(203(a,1),23(a,1,2,1,1))].
35.16/35.51	241 mult(ld(mult(A,B),ld(mult(C,B),C)),B) = ld(B,ld(A,ld(B,B))).  [para(203(a,1),49(a,1,2,2)),flip(a)].
35.16/35.51	251 rd(ld(A,A),A) = ld(B,rd(B,A)).  [para(218(a,1),10(a,1,1))].
35.16/35.51	255 mult(mult(A,ld(B,rd(B,C))),C) = A.  [para(218(a,1),18(a,1,2,2)),rewrite([7(3),9(2)]),flip(a)].
35.16/35.51	256 mult(A,mult(ld(ld(A,A),B),A)) = ld(ld(C,rd(C,A)),mult(B,A)).  [para(218(a,1),23(a,1,2,1,1))].
35.16/35.51	264 mult(mult(A,ld(B,rd(B,C))),rd(C,ld(B,rd(B,C)))) = rd(mult(A,ld(C,C)),ld(B,rd(B,C))).  [para(218(a,1),46(a,1,1,2)),flip(a)].
35.16/35.51	269 mult(ld(mult(A,B),ld(C,rd(C,B))),B) = ld(B,ld(A,ld(B,B))).  [para(218(a,1),49(a,1,2,2)),flip(a)].
35.16/35.51	274 mult(mult(A,mult(B,A)),mult(C,mult(A,mult(B,A)))) = mult(A,mult(mult(B,mult(mult(A,mult(C,A)),B)),A)).  [para(22(a,1),8(a,1,2)),rewrite([8(8)]),flip(a)].
35.16/35.51	299 mult(mult(A,mult(mult(B,mult(C,mult(D,C))),mult(C,mult(mult(D,mult(mult(C,mult(B,C)),D)),C)))),mult(C,mult(D,C))) = mult(mult(A,mult(B,mult(C,mult(D,C)))),mult(C,mult(mult(D,mult(mult(C,mult(mult(B,mult(C,mult(D,C))),C)),D)),C))).  [para(22(a,1),21(a,1,1,2)),rewrite([274(27)])].
35.16/35.51	325 ld(mult(A,mult(ld(A,B),B)),mult(B,A)) = ld(B,A).  [para(39(a,1),219(a,2,1)),rewrite([216(3),10(5)]),flip(a)].
35.16/35.51	326 mult(mult(A,B),ld(mult(C,B),C)) = A.  [para(219(a,1),46(a,2,2)),rewrite([7(2),10(2)]),flip(a)].
35.16/35.51	327 ld(mult(mult(A,B),mult(C,mult(B,C))),mult(A,mult(B,mult(C,B)))) = rd(ld(C,C),C).  [para(21(a,1),219(a,2,1)),flip(a)].
35.16/35.51	329 ld(ld(A,A),ld(mult(B,A),B)) = rd(ld(A,A),A).  [para(203(a,1),219(a,2,1)),flip(a)].
35.16/35.51	331 ld(mult(A,B),A) = ld(mult(C,B),C).  [para(219(a,1),219(a,1))].
35.16/35.51	333 mult(A,rd(ld(B,B),B)) = rd(A,B).  [para(251(a,2),7(a,1,2))].
35.16/35.51	343 ld(mult(A,B),A) = ld(C,rd(C,B)).  [para(251(a,1),219(a,1)),flip(a)].
35.16/35.51	344 ld(A,rd(A,B)) = ld(C,rd(C,B)).  [para(251(a,1),251(a,1))].
35.16/35.51	354 rd(A,ld(B,rd(B,C))) = mult(A,C).  [para(9(a,1),255(a,1,1)),flip(a)].
35.16/35.51	355 mult(A,ld(B,rd(B,C))) = rd(A,C).  [para(255(a,1),10(a,1,1)),flip(a)].
35.16/35.51	358 mult(mult(A,ld(B,C)),ld(C,B)) = A.  [para(14(a,1),255(a,1,1,2,2))].
35.16/35.51	362 mult(mult(A,ld(B,B)),B) = mult(rd(A,B),mult(B,B)).  [back_rewrite(264),rewrite([355(3),354(4),354(8)]),flip(a)].
35.16/35.51	397 mult(A,ld(mult(B,C),B)) = rd(A,C).  [para(9(a,1),326(a,1,1))].
35.16/35.51	399 mult(A,mult(ld(mult(B,C),B),rd(C,C))) = rd(A,C).  [para(326(a,1),11(a,1)),rewrite([397(3),397(6)]),flip(a)].
35.16/35.51	411 mult(A,mult(ld(mult(B,C),B),rd(D,C))) = rd(mult(rd(A,C),D),C).  [para(326(a,1),20(a,1)),rewrite([397(5),397(8),397(12),399(12)])].
35.16/35.51	415 mult(A,mult(B,mult(ld(mult(C,D),C),B))) = mult(rd(mult(A,B),D),B).  [para(326(a,1),21(a,2,1)),rewrite([397(6),411(6),10(2)]),flip(a)].
35.16/35.51	421 ld(mult(A,ld(B,C)),A) = ld(C,B).  [para(7(a,1),331(a,1,1)),flip(a)].
35.16/35.51	422 ld(mult(mult(A,B),C),rd(A,C)) = ld(mult(D,mult(C,mult(B,C))),D).  [para(18(a,1),331(a,1,1))].
35.16/35.51	430 mult(mult(A,B),rd(rd(ld(C,C),C),B)) = rd(mult(A,rd(B,C)),B).  [para(333(a,1),46(a,1,1,2)),flip(a)].
35.16/35.51	474 rd(A,ld(B,C)) = mult(A,ld(C,B)).  [para(14(a,1),354(a,1,2,2))].
35.16/35.51	523 mult(mult(A,mult(B,ld(C,D))),ld(D,C)) = mult(mult(A,ld(C,D)),mult(ld(D,C),B)).  [para(358(a,1),18(a,1,2,2)),rewrite([474(2)]),flip(a)].
35.16/35.51	524 ld(mult(A,ld(B,C)),mult(D,ld(C,B))) = mult(ld(C,B),mult(ld(A,D),ld(C,B))).  [para(358(a,1),23(a,1,2,1,1)),flip(a)].
35.16/35.51	541 rd(A,mult(ld(B,C),mult(D,ld(B,C)))) = mult(A,ld(mult(mult(C,D),ld(B,C)),B)).  [para(15(a,1),397(a,1,2,1)),flip(a)].
35.16/35.51	563 mult(mult(A,mult(ld(B,C),D)),ld(C,B)) = mult(mult(A,ld(B,C)),mult(D,ld(C,B))).  [para(474(a,1),46(a,1)),rewrite([474(9)])].
35.16/35.51	607 mult(ld(A,B),mult(ld(C,A),ld(A,B))) = ld(mult(C,ld(B,A)),B).  [para(7(a,1),50(a,1,2)),rewrite([474(2)]),flip(a)].
35.16/35.51	608 mult(A,mult(ld(B,rd(C,A)),A)) = ld(rd(B,A),C).  [para(9(a,1),50(a,1,2)),flip(a)].
35.16/35.51	659 rd(rd(A,rd(B,C)),C) = rd(mult(A,C),mult(C,B)).  [para(79(a,1),10(a,1,1)),flip(a)].
35.16/35.51	670 rd(rd(rd(A,B),C),B) = rd(A,mult(B,mult(C,B))).  [para(9(a,1),117(a,1,1)),flip(a)].
35.16/35.51	696 mult(rd(mult(A,ld(B,C)),D),ld(B,C)) = mult(A,ld(mult(mult(B,D),ld(C,B)),C)).  [para(358(a,1),117(a,1,1)),rewrite([541(5),474(10)]),flip(a)].
35.16/35.51	780 ld(mult(A,B),rd(mult(A,C),B)) = rd(ld(B,C),B).  [para(149(a,1),8(a,1,2))].
35.16/35.51	816 rd(A,rd(ld(B,C),B)) = mult(rd(mult(A,B),C),B).  [para(149(a,1),397(a,1,2,1)),rewrite([50(4),415(5)]),flip(a)].
35.16/35.51	850 mult(mult(mult(rd(A,mult(mult(B,mult(C,B)),D)),B),C),mult(B,rd(rd(D,B),C))) = rd(rd(A,B),C).  [para(151(a,1),20(a,1,1)),rewrite([166(4),166(12)]),flip(a)].
35.16/35.51	865 ld(rd(A,mult(B,mult(C,B))),rd(rd(A,B),C)) = B.  [para(151(a,1),28(a,1,1)),rewrite([166(13),850(13)])].
35.16/35.51	995 rd(ld(A,ld(B,C)),A) = ld(mult(B,A),rd(C,A)).  [para(204(a,1),10(a,1,1))].
35.16/35.51	1060 ld(mult(rd(mult(A,B),C),B),A) = rd(ld(B,C),B).  [para(206(a,1),10(a,1,1)),flip(a)].
35.16/35.51	1070 rd(mult(A,mult(B,A)),A) = ld(rd(ld(A,A),A),B).  [para(206(a,1),333(a,1)),rewrite([333(6),333(8),670(6),13(7)]),flip(a)].
35.16/35.51	1072 mult(ld(ld(A,B),C),ld(B,A)) = mult(ld(B,A),mult(C,ld(B,A))).  [para(206(a,1),358(a,1,1)),rewrite([696(9),421(10),40(8)])].
35.16/35.51	1073 mult(mult(ld(A,B),ld(A,B)),mult(ld(B,A),C)) = ld(ld(B,A),C).  [para(358(a,1),206(a,1,1,1,1,1)),rewrite([524(6),13(3),523(6)])].
35.16/35.51	1079 mult(ld(A,B),mult(mult(ld(B,A),ld(A,B)),ld(A,B))) = ld(ld(B,A),ld(A,B)).  [para(216(a,1),39(a,1,2)),rewrite([1073(7),216(7)]),flip(a)].
35.16/35.51	1105 ld(mult(A,mult(ld(A,A),A)),mult(A,mult(A,A))) = A.  [para(203(a,1),325(a,1,1,2)),rewrite([39(3),8(8)])].
35.16/35.51	1147 ld(ld(mult(A,B),A),mult(mult(ld(B,B),C),B)) = mult(B,mult(C,B)).  [para(217(a,1),40(a,1,2,2)),rewrite([217(10),217(10)])].
35.16/35.51	1149 mult(ld(mult(A,B),A),rd(C,B)) = rd(ld(B,C),B).  [para(219(a,2),40(a,1,2,2)),rewrite([333(5),780(4),397(7)]),flip(a)].
35.16/35.51	1150 mult(rd(ld(A,A),A),rd(B,A)) = rd(ld(A,B),A).  [para(219(a,2),40(a,2,1)),rewrite([397(5),780(4),397(7)]),flip(a)].
35.16/35.51	1154 mult(ld(A,B),mult(rd(ld(C,C),C),ld(A,B))) = ld(A,mult(rd(B,C),ld(A,B))).  [para(333(a,1),40(a,1,2,1)),flip(a)].
35.16/35.51	1158 mult(ld(A,B),mult(ld(mult(C,D),C),ld(A,B))) = ld(A,mult(rd(B,D),ld(A,B))).  [para(397(a,1),40(a,1,2,1)),flip(a)].
35.16/35.51	1180 ld(ld(A,A),rd(mult(ld(mult(B,A),B),C),A)) = rd(ld(A,C),A).  [para(329(a,1),40(a,1,2,2)),rewrite([333(7),329(10),329(12),333(11),1150(10)])].
35.16/35.51	1185 mult(rd(A,A),mult(A,A)) = mult(A,A).  [para(7(a,1),362(a,1,1)),flip(a)].
35.16/35.51	1187 mult(A,rd(B,B)) = mult(A,ld(B,B)).  [para(362(a,1),10(a,1,1)),rewrite([46(4),9(2)])].
35.16/35.51	1235 ld(ld(A,B),ld(B,A)) = mult(ld(B,A),ld(B,A)).  [para(362(a,1),40(a,1,2)),rewrite([474(2),7(2),8(5),216(7),1079(10)]),flip(a)].
35.16/35.51	1239 mult(A,mult(ld(A,A),A)) = mult(A,A).  [para(1185(a,1),8(a,1,2)),rewrite([50(3)])].
35.16/35.51	1240 rd(mult(A,A),mult(A,A)) = rd(A,A).  [para(1185(a,1),10(a,1,1))].
35.16/35.51	1280 ld(mult(A,A),mult(A,mult(A,A))) = A.  [back_rewrite(1105),rewrite([1239(3)])].
35.16/35.51	1340 rd(A,A) = ld(A,A).  [para(1187(a,1),8(a,1,2)),rewrite([8(3)]),flip(a)].
35.16/35.51	1366 ld(mult(A,A),mult(A,A)) = ld(A,A).  [back_rewrite(1240),rewrite([1340(3),1340(4)])].
35.16/35.51	1379 mult(ld(A,A),A) = A.  [para(1340(a,1),9(a,1,1))].
35.16/35.51	1380 ld(ld(A,A),A) = A.  [para(1340(a,1),13(a,1,1))].
35.16/35.51	1381 mult(ld(A,A),mult(A,mult(B,A))) = mult(mult(A,B),A).  [para(1340(a,1),18(a,1,1))].
35.16/35.51	1382 mult(ld(A,ld(A,A)),A) = ld(A,A).  [para(1340(a,1),218(a,1,1,2))].
35.16/35.51	1384 rd(ld(A,A),A) = ld(A,ld(A,A)).  [para(1340(a,1),251(a,2,2))].
35.16/35.52	1385 ld(mult(A,B),A) = ld(B,ld(B,B)).  [para(1340(a,1),343(a,2,2))].
35.16/35.52	1386 ld(A,rd(A,B)) = ld(B,ld(B,B)).  [para(1340(a,1),344(a,1,2)),flip(a)].
35.16/35.52	1387 mult(A,ld(B,ld(B,B))) = rd(A,B).  [para(1340(a,1),355(a,1,2,2))].
35.16/35.52	1391 mult(mult(ld(mult(A,B),mult(A,B)),A),rd(B,A)) = rd(mult(A,B),A).  [para(1340(a,1),151(a,1,1,1))].
35.16/35.52	1393 ld(rd(A,B),rd(A,B)) = mult(rd(A,mult(B,A)),B).  [para(1340(a,1),166(a,2)),rewrite([9(2)]),flip(a)].
35.16/35.52	1424 mult(ld(A,B),mult(ld(C,ld(C,C)),ld(A,B))) = ld(A,mult(rd(B,C),ld(A,B))).  [back_rewrite(1154),rewrite([1384(3)])].
35.16/35.52	1439 rd(mult(A,mult(B,A)),A) = ld(ld(A,ld(A,A)),B).  [back_rewrite(1070),rewrite([1384(5)])].
35.16/35.52	1461 mult(mult(A,B),rd(ld(C,ld(C,C)),B)) = rd(mult(A,rd(B,C)),B).  [back_rewrite(430),rewrite([1384(3)])].
35.16/35.52	1475 ld(mult(mult(A,B),mult(C,mult(B,C))),mult(A,mult(B,mult(C,B)))) = ld(C,ld(C,C)).  [back_rewrite(327),rewrite([1384(10)])].
35.16/35.52	1494 mult(rd(A,B),mult(B,B)) = mult(mult(A,B),ld(B,B)).  [para(1379(a,1),33(a,2,2)),rewrite([474(2),7(2),474(5),362(6)]),flip(a)].
35.16/35.52	1503 ld(ld(A,B),mult(ld(B,A),ld(A,B))) = ld(B,A).  [para(1379(a,1),421(a,1,1)),rewrite([216(4)])].
35.16/35.52	1509 rd(rd(ld(A,A),B),A) = rd(A,mult(A,mult(B,A))).  [para(1379(a,1),117(a,1,1)),flip(a)].
35.16/35.52	1552 mult(mult(A,ld(B,B)),B) = mult(mult(A,B),ld(B,B)).  [back_rewrite(362),rewrite([1494(6)])].
35.16/35.52	1616 mult(mult(A,A),A) = mult(A,mult(A,A)).  [para(1280(a,1),7(a,1,2))].
35.16/35.52	1635 mult(ld(A,A),ld(A,A)) = ld(A,A).  [para(355(a,1),1366(a,1,1)),rewrite([355(8),1393(7),355(5),1340(3),474(4),1552(5),218(3),216(8),13(5),355(6),1340(4)])].
35.16/35.52	1647 mult(ld(A,ld(A,A)),mult(A,mult(B,A))) = mult(mult(ld(A,A),B),A).  [para(1382(a,1),11(a,1,1,1)),flip(a)].
35.16/35.52	1741 mult(ld(A,ld(A,A)),ld(A,A)) = ld(A,ld(A,A)).  [para(1385(a,2),25(a,1,1,1,2)),rewrite([397(3),9(2),8(6)])].
35.16/35.52	1756 mult(ld(A,rd(A,B)),ld(B,B)) = ld(B,ld(B,B)).  [para(1386(a,2),25(a,1,2,2,1)),rewrite([1387(3),9(2),8(6)])].
35.16/35.52	1854 ld(ld(A,ld(A,A)),A) = mult(A,A).  [para(1616(a,1),10(a,1,1)),rewrite([1439(3)])].
35.16/35.52	1930 mult(ld(A,A),mult(ld(A,A),mult(B,ld(A,A)))) = mult(mult(ld(A,A),B),ld(A,A)).  [para(1635(a,1),11(a,1,1,1)),flip(a)].
35.16/35.52	1931 ld(ld(A,A),mult(B,ld(A,A))) = mult(mult(ld(A,A),B),ld(A,A)).  [para(1635(a,1),23(a,1,2,1,1)),rewrite([1072(5),1930(6)]),flip(a)].
35.16/35.52	1935 mult(ld(A,A),mult(ld(B,ld(A,A)),ld(A,A))) = ld(mult(B,ld(A,A)),ld(A,A)).  [para(1635(a,1),50(a,1,2)),rewrite([474(2)]),flip(a)].
35.16/35.52	1937 ld(ld(A,A),ld(ld(A,A),B)) = mult(ld(A,A),B).  [para(1635(a,1),204(a,1,1,1)),rewrite([474(3),1931(4),358(6)]),flip(a)].
35.16/35.52	1939 mult(ld(A,ld(B,B)),mult(ld(B,B),ld(A,ld(B,B)))) = ld(A,mult(ld(B,B),ld(A,ld(B,B)))).  [para(1635(a,1),40(a,1,2,1)),flip(a)].
35.16/35.52	1948 rd(ld(mult(A,B),A),B) = ld(B,ld(mult(A,B),A)).  [para(397(a,1),1854(a,2)),rewrite([216(7),8(4),397(5),1340(3),217(4)]),flip(a)].
35.16/35.52	2442 mult(rd(ld(mult(A,B),mult(A,B)),B),ld(A,mult(mult(A,B),B))) = mult(ld(mult(A,B),mult(A,B)),B).  [para(1635(a,1),58(a,1,1)),flip(a)].
35.16/35.52	2515 mult(rd(A,mult(B,ld(C,A))),ld(C,A)) = rd(C,mult(ld(A,C),B)).  [para(7(a,1),659(a,2,1)),rewrite([474(2),474(5)])].
35.16/35.52	2895 ld(rd(A,mult(A,mult(B,A))),rd(ld(A,A),B)) = A.  [para(1340(a,1),865(a,1,2,1))].
35.16/35.52	3567 ld(mult(rd(A,B),A),ld(A,A)) = rd(ld(A,B),A).  [para(1379(a,1),1060(a,1,1,1,1))].
35.16/35.52	3719 mult(ld(A,ld(mult(B,A),B)),mult(A,C)) = ld(A,C).  [para(1149(a,1),33(a,1,1)),rewrite([9(3),1948(4)]),flip(a)].
35.16/35.52	4426 ld(mult(A,ld(B,C)),mult(A,ld(B,C))) = mult(rd(A,mult(ld(C,B),A)),ld(C,B)).  [para(474(a,1),1393(a,1,1)),rewrite([474(4)])].
35.16/35.52	4437 mult(A,mult(mult(rd(B,mult(A,B)),A),A)) = ld(rd(rd(B,A),A),B).  [para(1393(a,1),608(a,1,2,1))].
35.16/35.52	5287 mult(mult(ld(A,B),B),ld(B,A)) = ld(ld(B,A),A).  [para(7(a,1),1439(a,1,1,2)),rewrite([474(4),216(8),1503(9)])].
35.16/35.52	5300 ld(ld(A,B),mult(C,ld(A,B))) = mult(mult(ld(B,A),C),ld(A,B)).  [para(358(a,1),1439(a,1,1,2)),rewrite([474(4),216(8),1503(9)]),flip(a)].
35.16/35.52	5339 mult(ld(A,A),mult(ld(A,A),B)) = ld(ld(A,A),B).  [para(1235(a,1),1439(a,2,1,2)),rewrite([474(6),523(6),1635(3),1635(8),216(7),1635(7)])].
35.16/35.52	6912 ld(rd(ld(A,A),B),rd(A,mult(A,mult(B,A)))) = ld(A,ld(A,A)).  [para(1509(a,1),1386(a,1,2))].
35.16/35.52	7270 mult(mult(rd(A,mult(ld(B,B),A)),ld(B,B)),mult(mult(A,ld(B,B)),mult(B,mult(A,ld(B,B))))) = mult(mult(mult(A,B),ld(B,B)),mult(A,ld(B,B))).  [para(1552(a,1),1381(a,2,1)),rewrite([4426(5)])].
35.16/35.52	7653 ld(mult(rd(ld(A,ld(A,A)),B),ld(A,A)),ld(A,ld(A,A))) = mult(ld(A,A),mult(B,ld(A,A))).  [para(1741(a,1),1060(a,1,1,1,1)),rewrite([474(12),1072(12)])].
35.16/35.52	7804 mult(rd(ld(A,rd(A,B)),mult(C,ld(B,B))),ld(B,B)) = rd(ld(B,ld(B,B)),mult(ld(B,B),C)).  [para(1756(a,1),659(a,2,1)),rewrite([474(4),474(7)])].
35.16/35.52	8154 rd(A,mult(mult(ld(B,B),C),ld(B,B))) = mult(A,ld(mult(C,ld(B,B)),ld(B,B))).  [para(1937(a,1),816(a,1,2,1)),rewrite([474(4),474(10),11(12),1935(11)])].
35.16/35.52	10498 ld(mult(mult(rd(A,B),A),C),rd(ld(A,A),C)) = rd(ld(C,rd(ld(A,B),A)),C).  [para(3567(a,1),995(a,1,1,2)),flip(a)].
35.16/35.52	10543 mult(ld(A,ld(mult(B,A),B)),C) = ld(A,ld(A,C)).  [para(7(a,1),3719(a,1,2))].
35.16/35.52	11603 ld(ld(ld(A,A),B),ld(A,A)) = ld(C,rd(C,mult(ld(A,A),B))).  [para(5339(a,1),343(a,1,1))].
35.16/35.52	13079 ld(ld(A,B),ld(ld(A,B),C)) = mult(mult(ld(B,A),ld(B,A)),C).  [para(7(a,1),10543(a,1,1,2,1)),rewrite([1235(3)]),flip(a)].
35.16/35.52	17507 ld(A,mult(mult(A,mult(B,A)),A)) = mult(mult(mult(ld(A,A),B),A),A).  [para(220(a,1),5287(a,1,1)),rewrite([8(9),8(10)]),flip(a)].
35.16/35.52	17741 ld(mult(mult(ld(A,A),B),ld(A,A)),ld(A,A)) = ld(A,mult(rd(A,B),ld(A,A))).  [para(5339(a,1),422(a,2,1)),rewrite([474(5),524(6),1158(6),5300(8)]),flip(a)].
35.16/35.52	18267 ld(mult(ld(A,A),ld(B,A)),B) = mult(ld(A,B),B).  [para(1380(a,1),607(a,1,2,1)),rewrite([7(3)]),flip(a)].
35.16/35.52	18323 rd(ld(A,mult(mult(ld(B,B),A),B)),A) = mult(B,rd(ld(B,B),A)).  [para(2895(a,1),18267(a,2,1)),rewrite([1393(7),6912(13),1387(10),46(8),10(7),10498(9),17507(4),10(5)])].
35.16/35.52	20325 rd(A,mult(ld(B,A),A)) = mult(ld(B,B),ld(A,B)).  [para(7(a,1),2515(a,1,1,2)),rewrite([1340(1)]),flip(a)].
35.16/35.52	20386 mult(rd(A,mult(ld(B,A),A)),ld(B,B)) = mult(ld(B,B),ld(mult(A,ld(B,B)),B)).  [para(20325(a,2),1381(a,2,1)),rewrite([216(3),1635(3),607(6)]),flip(a)].
35.16/35.52	20413 mult(ld(A,A),rd(B,mult(ld(A,B),B))) = ld(ld(A,A),ld(B,A)).  [para(20325(a,2),5339(a,1,2))].
35.16/35.52	23944 mult(ld(A,A),rd(B,mult(ld(A,A),B))) = ld(B,B).  [para(358(a,1),4437(a,1,2)),rewrite([474(7),474(9),358(9)])].
35.16/35.52	23976 mult(ld(A,ld(B,B)),ld(ld(B,B),A)) = mult(ld(B,B),rd(ld(ld(B,B),A),A)).  [para(7(a,1),23944(a,1,2,2)),rewrite([216(10)]),flip(a)].
35.16/35.52	23977 rd(A,mult(ld(B,B),A)) = ld(ld(B,B),ld(A,A)).  [para(23944(a,1),8(a,1,2)),flip(a)].
35.16/35.52	23990 ld(ld(ld(A,A),ld(B,B)),ld(A,A)) = ld(B,B).  [para(23944(a,1),226(a,2,2)),rewrite([23977(3),23977(6),23977(9),216(10),23976(10),474(9),23977(15),607(17),563(11),7(5),7(6),421(5),23977(4),421(6)]),flip(a)].
35.16/35.52	23991 mult(ld(A,A),mult(ld(ld(A,A),ld(B,B)),ld(B,B))) = ld(B,B).  [para(23944(a,1),241(a,1,1,1)),rewrite([23977(4),421(6),13079(5),1635(3),23977(6),39(7),23977(10),23977(14),23977(17),216(18),23976(18),474(17),8(19),8(16)])].
35.16/35.52	23993 mult(ld(ld(A,A),ld(B,B)),ld(B,B)) = ld(A,A).  [para(23944(a,1),256(a,2,2)),rewrite([23977(3),23977(6),23977(9),216(10),23976(10),474(9),23991(10),23977(9),23976(10),474(9),23991(10),23977(8),474(9),8(10),23990(10)])].
35.16/35.52	23994 ld(A,A) = ld(B,B).  [para(23944(a,1),269(a,1,1,1)),rewrite([23977(4),474(5),8(6),13079(5),1635(3),23977(6),39(7),23993(6),1635(3),23977(4),23977(8),23977(11),216(12),23976(12),474(11),23993(11),1635(8),216(7),1635(7),23990(6)])].
35.16/35.52	23995 ld(ld(A,A),mult(ld(B,B),ld(ld(A,A),ld(B,B)))) = ld(B,B).  [para(23944(a,1),422(a,2,1,2,2)),rewrite([23977(5),23977(9),474(10),524(11),421(6),1939(9),23977(10),23993(12),421(10)])].
35.16/35.52	23998 mult(ld(A,A),mult(ld(B,B),ld(A,A))) = ld(ld(A,A),ld(B,B)).  [para(23944(a,1),183(a,1,2,2,2)),rewrite([23977(4),23977(7),23977(15),23977(21),23993(23),524(21),1475(18),216(11),23976(11),474(10),23993(10),1635(7),23990(6),23977(8)])].
35.16/35.52	23999 ld(ld(A,A),ld(B,B)) = ld(B,B).  [para(23944(a,1),184(a,1,1,2,2)),rewrite([23977(5),23993(7),358(4),23977(4),23977(8),1072(10),23998(10),7(9),23977(8),1939(10),23995(8),23998(5),8(5),23977(7),1072(9),23998(9),7(8)])].
35.16/35.52	24000 ld(ld(A,A),mult(mult(ld(B,B),C),ld(B,B))) = mult(ld(B,B),mult(C,ld(B,B))).  [para(23944(a,1),1147(a,1,1,1)),rewrite([23999(3),23977(4),23999(4),23977(5),23999(5),23999(4),23977(6),23999(6),23977(9),23999(9),23977(10),23999(10)])].
35.16/35.52	24003 mult(mult(ld(A,A),mult(ld(B,B),C)),ld(A,A)) = mult(ld(A,A),mult(C,ld(A,A))).  [para(23944(a,1),1180(a,1,2,1,1,1)),rewrite([23977(3),23999(3),23977(4),23999(4),23999(3),23999(4),23977(6),23999(6),474(5),5300(6),23977(9),23999(9),23977(11),23999(11),474(10),1072(10)])].
35.16/35.52	24005 mult(mult(ld(A,A),ld(B,B)),ld(A,A)) = ld(A,A).  [para(23944(a,1),1391(a,1,1,1,1)),rewrite([23977(5),23999(5),5300(5),11(7),23998(6),23999(4),1635(3),23977(4),23999(4),474(4),5339(5),23999(3),23977(5),23999(5),474(6)]),flip(a)].
35.16/35.52	24006 mult(ld(A,A),ld(B,B)) = ld(A,A).  [para(23944(a,1),1391(a,2,1)),rewrite([23977(4),23999(4),23977(7),23999(7),4426(7),23977(5),23999(4),23999(3),24005(5),23977(4),23999(4),474(4),23998(5),23999(3),474(4)]),flip(a)].
35.16/35.52	24008 mult(mult(ld(A,A),rd(ld(B,B),C)),ld(B,B)) = ld(B,mult(rd(B,C),ld(B,B))).  [para(23944(a,1),1461(a,1,1)),rewrite([23977(6),23999(6),474(5),1424(6),23977(8),23999(8),23977(11),23999(11),474(10)]),flip(a)].
35.16/35.52	24014 mult(ld(A,A),B) = B.  [para(23944(a,1),1647(a,2,1)),rewrite([23977(5),23999(5),1647(6),24006(3),1379(2)]),flip(a)].
35.16/35.52	24028 mult(A,ld(B,B)) = A.  [para(23944(a,1),2515(a,2,2)),rewrite([24014(2),1340(1),24014(3),474(2),7(2),7(2),474(2)]),flip(a)].
35.16/35.52	24070 mult(mult(A,B),B) = mult(A,mult(B,B)).  [para(23944(a,1),299(a,1,1,2,1,2,2)),rewrite([24014(2),1340(1),24028(3),24028(2),24014(2),1340(1),24014(4),1340(3),24014(5),1340(4),24028(5),24014(4),24028(4),24014(3),24014(3),1340(2),24028(3),24014(2),24014(4),1340(3),24014(6),1340(5),24028(6),24028(5),24028(4),24014(4),1340(3),24014(6),1340(5),24028(6),24028(5),24028(4),24014(5),1340(4),24014(7),1340(6),24014(8),1340(7),24014(10),1340(9),24028(10),24028(9),24028(8),24014(8),1340(7),24028(8),24014(7),24028(7),24014(6),24014(6),1340(5),24028(6),24014(5)]),flip(a)].
35.16/35.52	24091 mult(mult(A,B),A) = mult(A,mult(B,A)).  [back_rewrite(7270),rewrite([24014(2),1340(1),24028(3),24028(3),24028(3),24014(4),24028(5),24028(5)]),flip(a)].
35.16/35.52	24093 ld(A,A) = c_0.  [new_symbol(23994)].
35.16/35.52	24102 mult(c_0,mult(A,c_0)) = mult(c_0,A).  [back_rewrite(2442),rewrite([24093(3),24070(4),8(5),1494(4),24093(3),24091(4),24093(7)])].
35.16/35.52	24103 rd(c_0,A) = ld(A,c_0).  [back_rewrite(1384),rewrite([24093(1),24093(3)])].
35.16/35.52	24107 mult(c_0,mult(c_0,A)) = mult(c_0,A).  [back_rewrite(24003),rewrite([24093(1),24093(2),24093(5),24091(6),24091(5),24102(5),24093(5),24093(6),24102(8)])].
35.16/35.52	24108 ld(c_0,A) = mult(c_0,A).  [back_rewrite(5339),rewrite([24093(1),24093(2),24107(4),24093(3)]),flip(a)].
35.16/35.52	24109 ld(A,mult(rd(A,B),c_0)) = mult(c_0,ld(B,c_0)).  [back_rewrite(24008),rewrite([24093(1),24093(2),24103(3),24093(5),24091(6),24102(6),24093(6)]),flip(a)].
35.16/35.52	24114 mult(c_0,A) = A.  [back_rewrite(24000),rewrite([24093(1),24093(2),24093(4),24091(5),24102(5),8(4),24093(1),24093(2),24102(4)]),flip(a)].
35.16/35.52	24157 rd(A,mult(ld(B,A),A)) = ld(A,B).  [back_rewrite(20413),rewrite([24093(1),24114(5),24093(4),24108(6),24114(6)])].
35.16/35.52	24166 ld(mult(A,c_0),B) = mult(ld(A,B),c_0).  [back_rewrite(20386),rewrite([24157(3),24093(2),24093(4),24093(5),24114(8)]),flip(a)].
35.16/35.52	24210 mult(A,ld(B,c_0)) = rd(A,B).  [back_rewrite(18323),rewrite([24093(1),24114(2),8(2),24093(2),24103(3)]),flip(a)].
35.16/35.52	24220 mult(ld(A,c_0),c_0) = ld(A,c_0).  [back_rewrite(17741),rewrite([24093(1),24114(2),24093(1),24093(3),24166(4),24093(6),24109(8),24210(8),24103(6)])].
35.16/35.52	24264 ld(A,rd(A,B)) = ld(B,c_0).  [back_rewrite(11603),rewrite([24093(1),24108(2),24114(2),24093(1),24093(3),24114(4)]),flip(a)].
35.16/35.52	24388 rd(A,mult(B,c_0)) = rd(A,B).  [back_rewrite(8154),rewrite([24093(1),24114(2),24093(1),24093(4),24093(6),24166(7),24220(7),24210(6)])].
35.16/35.52	24397 mult(rd(ld(A,c_0),B),c_0) = rd(ld(A,c_0),B).  [back_rewrite(7804),rewrite([24264(2),24093(3),24388(5),24093(4),24093(6),24093(8),24114(9)])].
35.16/35.52	24405 mult(A,c_0) = A.  [back_rewrite(7653),rewrite([24093(1),24093(4),24397(5),24093(4),13(6),24093(1),24093(2),24114(4)]),flip(a)].
35.16/35.52	24461 $F # answer(goals).  [back_rewrite(12),rewrite([24093(4),24405(3),24093(6),24114(6)]),xx(a),xx(b)].
35.16/35.52	
35.16/35.52	% SZS output end Refutation
35.16/35.52	============================== end of proof ==========================
35.16/35.52	
35.16/35.52	============================== STATISTICS ============================
35.16/35.52	
35.16/35.52	Given=734. Generated=745975. Kept=24454. proofs=1.
35.16/35.52	Usable=659. Sos=9266. Demods=8319. Limbo=447, Disabled=14088. Hints=0.
35.16/35.52	Megabytes=27.81.
35.16/35.52	User_CPU=33.61, System_CPU=0.81, Wall_clock=34.
35.16/35.52	
35.16/35.52	============================== end of statistics =====================
35.16/35.52	
35.16/35.52	============================== end of search =========================
35.16/35.52	
35.16/35.52	THEOREM PROVED
35.16/35.52	% SZS status Theorem
35.16/35.52	
35.16/35.52	Exiting with 1 proof.
35.16/35.52	
35.16/35.52	Process 4390 exit (max_proofs) Mon Jul  3 07:16:12 2023
35.16/35.52	Prover9 interrupted
35.16/35.52	EOF