0.00/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.12	% Command    : tptp2X_and_run_prover9 %d %s
0.12/0.33	% Computer   : n026.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1200
0.12/0.33	% DateTime   : Tue Jul 13 14:52:29 EDT 2021
0.12/0.34	% CPUTime    : 
2.70/2.98	============================== Prover9 ===============================
2.70/2.98	Prover9 (32) version 2009-11A, November 2009.
2.70/2.98	Process 15784 was started by sandbox on n026.cluster.edu,
2.70/2.98	Tue Jul 13 14:52:30 2021
2.70/2.98	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_15631_n026.cluster.edu".
2.70/2.98	============================== end of head ===========================
2.70/2.98	
2.70/2.98	============================== INPUT =================================
2.70/2.98	
2.70/2.98	% Reading from file /tmp/Prover9_15631_n026.cluster.edu
2.70/2.98	
2.70/2.98	set(prolog_style_variables).
2.70/2.98	set(auto2).
2.70/2.98	    % set(auto2) -> set(auto).
2.70/2.98	    % set(auto) -> set(auto_inference).
2.70/2.98	    % set(auto) -> set(auto_setup).
2.70/2.98	    % set(auto_setup) -> set(predicate_elim).
2.70/2.98	    % set(auto_setup) -> assign(eq_defs, unfold).
2.70/2.98	    % set(auto) -> set(auto_limits).
2.70/2.98	    % set(auto_limits) -> assign(max_weight, "100.000").
2.70/2.98	    % set(auto_limits) -> assign(sos_limit, 20000).
2.70/2.98	    % set(auto) -> set(auto_denials).
2.70/2.98	    % set(auto) -> set(auto_process).
2.70/2.98	    % set(auto2) -> assign(new_constants, 1).
2.70/2.98	    % set(auto2) -> assign(fold_denial_max, 3).
2.70/2.98	    % set(auto2) -> assign(max_weight, "200.000").
2.70/2.98	    % set(auto2) -> assign(max_hours, 1).
2.70/2.98	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
2.70/2.98	    % set(auto2) -> assign(max_seconds, 0).
2.70/2.98	    % set(auto2) -> assign(max_minutes, 5).
2.70/2.98	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
2.70/2.98	    % set(auto2) -> set(sort_initial_sos).
2.70/2.98	    % set(auto2) -> assign(sos_limit, -1).
2.70/2.98	    % set(auto2) -> assign(lrs_ticks, 3000).
2.70/2.98	    % set(auto2) -> assign(max_megs, 400).
2.70/2.98	    % set(auto2) -> assign(stats, some).
2.70/2.98	    % set(auto2) -> clear(echo_input).
2.70/2.98	    % set(auto2) -> set(quiet).
2.70/2.98	    % set(auto2) -> clear(print_initial_clauses).
2.70/2.98	    % set(auto2) -> clear(print_given).
2.70/2.98	assign(lrs_ticks,-1).
2.70/2.98	assign(sos_limit,10000).
2.70/2.98	assign(order,kbo).
2.70/2.98	set(lex_order_vars).
2.70/2.98	clear(print_given).
2.70/2.98	
2.70/2.98	% formulas(sos).  % not echoed (6 formulas)
2.70/2.98	
2.70/2.98	============================== end of input ==========================
2.70/2.98	
2.70/2.98	% From the command line: assign(max_seconds, 1200).
2.70/2.98	
2.70/2.98	============================== PROCESS NON-CLAUSAL FORMULAS ==========
2.70/2.98	
2.70/2.98	% Formulas that are not ordinary clauses:
2.70/2.98	1 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause).  [assumption].
2.70/2.98	2 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause).  [assumption].
2.70/2.98	3 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause).  [assumption].
2.70/2.98	4 (all C all B all A mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B)))) # label(f05) # label(axiom) # label(non_clause).  [assumption].
2.70/2.98	5 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause).  [assumption].
2.70/2.98	6 -(all X0 all X1 (X0 = mult(X0,rd(X1,X1)) & X0 = mult(rd(X1,X1),X0))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
2.70/2.98	
2.70/2.98	============================== end of process non-clausal formulas ===
2.70/2.98	
2.70/2.98	============================== PROCESS INITIAL CLAUSES ===============
2.70/2.98	
2.70/2.98	============================== PREDICATE ELIMINATION =================
2.70/2.98	
2.70/2.98	============================== end predicate elimination =============
2.70/2.98	
2.70/2.98	Auto_denials:
2.70/2.98	  % copying label goals to answer in negative clause
2.70/2.98	
2.70/2.98	Term ordering decisions:
2.70/2.98	Function symbol KB weights:  c1=1. c2=1. mult=1. ld=1. rd=1.
2.70/2.98	
2.70/2.98	============================== end of process initial clauses ========
2.70/2.98	
2.70/2.98	============================== CLAUSES FOR SEARCH ====================
2.70/2.98	
2.70/2.98	============================== end of clauses for search =============
2.70/2.98	
2.70/2.98	============================== SEARCH ================================
2.70/2.98	
2.70/2.98	% Starting search at 0.01 seconds.
2.70/2.98	
2.70/2.98	Low Water (keep): wt=95.000, iters=3378
2.70/2.98	
2.70/2.98	Low Water (keep): wt=87.000, iters=3346
2.70/2.98	
2.70/2.98	Low Water (keep): wt=75.000, iters=3345
2.70/2.98	
2.70/2.98	Low Water (keep): wt=71.000, iters=3363
2.70/2.98	
2.70/2.98	Low Water (keep): wt=67.000, iters=3391
2.70/2.98	
2.70/2.98	Low Water (keep): wt=63.000, iters=3378
2.70/2.98	
2.70/2.98	Low Water (keep): wt=59.000, iters=3373
2.70/2.98	
2.70/2.98	Low Water (keep): wt=55.000, iters=3351
2.70/2.98	
2.70/2.98	Low Water (keep): wt=51.000, iters=3380
2.70/2.98	
2.70/2.98	Low Water (keep): wt=47.000, iters=3367
2.70/2.98	
2.70/2.98	Low Water (keep): wt=43.000, iters=3338
2.70/2.98	
2.70/2.98	Low Water (keep): wt=39.000, iters=3386
2.70/2.98	
2.70/2.98	Low Water (keep): wt=35.000, iters=3341
19.85/20.16	
19.85/20.16	Low Water (keep): wt=31.000, iters=3342
19.85/20.16	
19.85/20.16	Low Water (displace): id=4213, wt=191.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=4211, wt=179.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=4205, wt=171.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=6319, wt=167.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=4203, wt=151.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=4167, wt=147.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=5191, wt=143.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=6214, wt=139.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=4180, wt=135.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=4041, wt=131.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=6365, wt=127.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=5885, wt=123.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=6318, wt=119.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=13055, wt=27.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=13056, wt=23.000
19.85/20.16	
19.85/20.16	Low Water (displace): id=13355, wt=19.000
19.85/20.16	
19.85/20.16	Low Water (keep): wt=27.000, iters=3333
19.85/20.16	
19.85/20.16	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 36 (0.00 of 8.73 sec).
19.85/20.16	
19.85/20.16	============================== PROOF =================================
19.85/20.16	% SZS status Theorem
19.85/20.16	% SZS output start Refutation
19.85/20.16	
19.85/20.16	% Proof 1 at 18.78 (+ 0.39) seconds: goals.
19.85/20.16	% Length of proof is 234.
19.85/20.16	% Level of proof is 41.
19.85/20.16	% Maximum clause weight is 39.000.
19.85/20.16	% Given clauses 711.
19.85/20.16	
19.85/20.16	1 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause).  [assumption].
19.85/20.16	2 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause).  [assumption].
19.85/20.16	3 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause).  [assumption].
19.85/20.16	4 (all C all B all A mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B)))) # label(f05) # label(axiom) # label(non_clause).  [assumption].
19.85/20.16	5 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause).  [assumption].
19.85/20.16	6 -(all X0 all X1 (X0 = mult(X0,rd(X1,X1)) & X0 = mult(rd(X1,X1),X0))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
19.85/20.16	7 mult(rd(A,B),B) = A # label(f03) # label(axiom).  [clausify(1)].
19.85/20.16	8 rd(mult(A,B),B) = A # label(f04) # label(axiom).  [clausify(2)].
19.85/20.16	9 mult(A,ld(A,B)) = B # label(f01) # label(axiom).  [clausify(3)].
19.85/20.16	10 ld(A,mult(A,B)) = B # label(f02) # label(axiom).  [clausify(5)].
19.85/20.16	11 mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))) # label(f05) # label(axiom).  [clausify(4)].
19.85/20.16	12 mult(c1,rd(c2,c2)) != c1 | mult(rd(c2,c2),c1) != c1 # label(goals) # label(negated_conjecture) # answer(goals).  [clausify(6)].
19.85/20.16	13 rd(A,ld(B,A)) = B.  [para(9(a,1),8(a,1,1))].
19.85/20.16	14 ld(rd(A,B),A) = B.  [para(7(a,1),10(a,1,2))].
19.85/20.16	15 mult(rd(A,B),mult(B,mult(C,B))) = mult(mult(A,C),B).  [para(7(a,1),11(a,1,1,1)),flip(a)].
19.85/20.16	16 rd(mult(A,mult(B,mult(C,B))),B) = mult(mult(A,B),C).  [para(11(a,1),8(a,1,1))].
19.85/20.16	17 mult(A,mult(ld(A,B),mult(C,ld(A,B)))) = mult(mult(B,C),ld(A,B)).  [para(9(a,1),11(a,1,1,1)),flip(a)].
19.85/20.16	18 mult(A,mult(B,mult(ld(mult(A,B),C),B))) = mult(C,B).  [para(9(a,1),11(a,1,1)),flip(a)].
19.85/20.16	19 ld(mult(mult(A,B),C),mult(A,mult(B,mult(C,B)))) = B.  [para(11(a,1),10(a,1,2))].
19.85/20.16	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))].
19.85/20.16	23 mult(mult(A,rd(B,C)),C) = mult(rd(A,C),mult(C,B)).  [para(7(a,1),15(a,1,2,2)),flip(a)].
19.85/20.16	24 rd(mult(mult(A,B),C),mult(C,mult(B,C))) = rd(A,C).  [para(15(a,1),8(a,1,1))].
19.85/20.16	26 ld(rd(A,B),mult(mult(A,C),B)) = mult(B,mult(C,B)).  [para(15(a,1),10(a,1,2))].
19.85/20.16	30 rd(mult(A,mult(B,C)),B) = mult(mult(A,B),rd(C,B)).  [para(7(a,1),16(a,1,1,2,2))].
19.85/20.16	33 mult(A,mult(ld(mult(B,A),C),A)) = ld(B,mult(C,A)).  [para(18(a,1),10(a,1,2)),flip(a)].
19.85/20.16	35 mult(mult(A,B),ld(B,A)) = mult(B,mult(ld(B,A),A)).  [para(9(a,1),17(a,1,2,2)),flip(a)].
19.85/20.16	36 ld(A,mult(mult(B,C),ld(A,B))) = mult(ld(A,B),mult(C,ld(A,B))).  [para(17(a,1),10(a,1,2))].
19.85/20.16	41 ld(mult(mult(A,ld(B,C)),B),mult(A,mult(ld(B,C),C))) = ld(B,C).  [para(9(a,1),19(a,1,2,2,2))].
19.85/20.16	47 mult(rd(rd(A,rd(B,C)),C),mult(C,B)) = mult(A,C).  [para(7(a,1),23(a,1,1)),flip(a)].
19.85/20.16	48 ld(mult(A,rd(B,C)),mult(rd(A,C),mult(C,B))) = C.  [para(23(a,1),10(a,1,2))].
19.85/20.16	50 mult(mult(rd(A,B),mult(B,C)),rd(C,B)) = mult(A,mult(rd(C,B),mult(B,rd(C,B)))).  [para(23(a,1),11(a,1,1))].
19.85/20.16	59 rd(mult(A,B),mult(B,mult(C,B))) = rd(rd(A,C),B).  [para(7(a,1),24(a,1,1,1))].
19.85/20.16	68 ld(rd(A,B),mult(C,B)) = mult(B,mult(ld(A,C),B)).  [para(9(a,1),26(a,1,2,1))].
19.85/20.16	86 mult(mult(rd(A,mult(B,C)),B),rd(C,B)) = rd(A,B).  [para(7(a,1),30(a,1,1)),flip(a)].
19.85/20.16	87 mult(mult(A,B),rd(ld(B,C),B)) = rd(mult(A,C),B).  [para(9(a,1),30(a,1,1,2)),flip(a)].
19.85/20.16	106 rd(ld(A,mult(B,C)),mult(ld(mult(A,C),B),C)) = C.  [para(33(a,1),8(a,1,1))].
19.85/20.16	108 ld(A,ld(B,mult(C,A))) = mult(ld(mult(B,A),C),A).  [para(33(a,1),10(a,1,2))].
19.85/20.16	126 mult(ld(A,B),mult(ld(ld(A,B),A),A)) = mult(B,ld(ld(A,B),A)).  [para(9(a,1),35(a,1,1)),flip(a)].
19.85/20.16	191 rd(rd(A,rd(B,C)),C) = rd(mult(A,C),mult(C,B)).  [para(47(a,1),8(a,1,1)),flip(a)].
19.85/20.16	211 rd(rd(rd(A,B),C),B) = rd(A,mult(B,mult(C,B))).  [para(7(a,1),59(a,1,1)),flip(a)].
19.85/20.16	220 rd(mult(A,B),mult(B,mult(rd(C,B),mult(B,D)))) = rd(rd(A,mult(C,rd(D,B))),B).  [para(23(a,1),59(a,1,2,2))].
19.85/20.16	269 mult(A,mult(ld(B,rd(C,A)),A)) = ld(rd(B,A),C).  [para(7(a,1),68(a,1,2)),flip(a)].
19.85/20.16	277 rd(rd(A,B),rd(C,B)) = mult(rd(A,mult(B,C)),B).  [para(86(a,1),8(a,1,1))].
19.85/20.16	278 ld(mult(rd(A,mult(B,C)),B),rd(A,B)) = rd(C,B).  [para(86(a,1),10(a,1,2))].
19.85/20.16	301 rd(mult(rd(A,B),C),B) = mult(A,rd(ld(B,C),B)).  [para(7(a,1),87(a,1,1)),flip(a)].
19.85/20.16	303 ld(mult(A,B),rd(mult(A,C),B)) = rd(ld(B,C),B).  [para(87(a,1),10(a,1,2))].
19.85/20.16	378 rd(A,mult(ld(mult(B,A),B),A)) = A.  [para(10(a,1),106(a,1,1))].
19.85/20.16	405 rd(A,mult(ld(B,rd(B,A)),A)) = A.  [para(7(a,1),378(a,1,2,1,1))].
19.85/20.16	406 rd(ld(A,B),mult(ld(B,A),ld(A,B))) = ld(A,B).  [para(9(a,1),378(a,1,2,1,1))].
19.85/20.16	408 mult(ld(mult(A,B),A),B) = ld(B,B).  [para(378(a,1),14(a,1,1)),flip(a)].
19.85/20.16	420 mult(ld(A,rd(A,B)),B) = ld(B,B).  [para(405(a,1),14(a,1,1)),flip(a)].
19.85/20.16	424 ld(mult(A,B),A) = rd(ld(B,B),B).  [para(408(a,1),8(a,1,1)),flip(a)].
19.85/20.16	425 ld(ld(A,B),ld(A,B)) = mult(ld(B,A),ld(A,B)).  [para(9(a,1),408(a,1,1,1)),flip(a)].
19.85/20.16	426 ld(ld(mult(A,B),A),ld(B,B)) = B.  [para(408(a,1),10(a,1,2))].
19.85/20.16	497 ld(A,rd(A,B)) = rd(ld(B,B),B).  [para(420(a,1),8(a,1,1)),flip(a)].
19.85/20.16	498 ld(ld(A,rd(A,B)),ld(B,B)) = B.  [para(420(a,1),10(a,1,2))].
19.85/20.16	506 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(420(a,1),30(a,1,1,2)),flip(a)].
19.85/20.16	516 rd(rd(A,ld(B,rd(B,C))),C) = A.  [para(420(a,1),59(a,1,2,2)),rewrite([9(3),8(2)]),flip(a)].
19.85/20.16	525 ld(mult(A,mult(B,mult(C,B))),mult(mult(A,B),C)) = rd(ld(B,B),B).  [para(11(a,1),424(a,1,1))].
19.85/20.16	526 rd(A,rd(ld(B,B),B)) = mult(A,B).  [para(424(a,1),13(a,1,2))].
19.85/20.16	532 ld(mult(rd(A,B),mult(B,C)),mult(A,rd(C,B))) = rd(ld(B,B),B).  [para(23(a,1),424(a,1,1))].
19.85/20.16	537 ld(mult(A,mult(ld(A,B),B)),mult(B,A)) = ld(B,A).  [para(35(a,1),424(a,1,1)),rewrite([425(8),8(10)])].
19.85/20.16	540 rd(ld(mult(A,B),A),C) = rd(rd(ld(B,B),B),C).  [para(424(a,2),59(a,2,1)),rewrite([59(5)]),flip(a)].
19.85/20.16	542 mult(A,ld(mult(B,C),B)) = rd(A,C).  [para(424(a,2),86(a,1,2)),rewrite([9(2),7(2)])].
19.85/20.16	556 ld(mult(A,B),A) = ld(mult(C,B),C).  [para(424(a,2),424(a,2))].
19.85/20.16	568 mult(A,rd(ld(B,B),B)) = rd(A,B).  [para(497(a,1),9(a,1,2))].
19.85/20.16	581 mult(A,ld(B,rd(B,C))) = rd(A,C).  [para(497(a,2),86(a,1,2)),rewrite([9(2),7(2)])].
19.85/20.16	588 ld(mult(A,B),A) = ld(C,rd(C,B)).  [para(497(a,2),424(a,2))].
19.85/20.16	589 ld(A,rd(A,B)) = ld(C,rd(C,B)).  [para(497(a,2),497(a,2))].
19.85/20.16	594 rd(mult(A,ld(B,B)),ld(C,rd(C,B))) = mult(rd(A,B),rd(B,ld(C,rd(C,B)))).  [back_rewrite(506),rewrite([581(3)]),flip(a)].
19.85/20.16	639 rd(A,ld(B,rd(B,C))) = mult(A,C).  [para(516(a,1),7(a,1,1)),flip(a)].
19.85/20.16	640 rd(rd(A,ld(B,C)),ld(C,B)) = A.  [para(13(a,1),516(a,1,1,2,2))].
19.85/20.16	645 mult(mult(A,ld(B,B)),B) = mult(rd(A,B),mult(B,B)).  [back_rewrite(594),rewrite([639(5),639(7)])].
19.85/20.16	656 ld(rd(ld(A,A),A),rd(ld(A,A),A)) = rd(A,A).  [para(526(a,1),420(a,1,1,2)),rewrite([10(2),568(3)]),flip(a)].
19.85/20.16	658 rd(ld(A,A),A) = ld(A,rd(A,A)).  [para(526(a,1),498(a,1,1,2)),rewrite([10(2),656(5)]),flip(a)].
19.85/20.16	687 rd(ld(mult(A,B),A),C) = rd(ld(B,rd(B,B)),C).  [back_rewrite(540),rewrite([658(5)])].
19.85/20.16	690 ld(mult(rd(A,B),mult(B,C)),mult(A,rd(C,B))) = ld(B,rd(B,B)).  [back_rewrite(532),rewrite([658(8)])].
19.85/20.16	693 ld(mult(A,mult(B,mult(C,B))),mult(mult(A,B),C)) = ld(B,rd(B,B)).  [back_rewrite(525),rewrite([658(8)])].
19.85/20.16	694 rd(A,ld(B,C)) = mult(A,ld(C,B)).  [para(9(a,1),542(a,1,2,1)),flip(a)].
19.85/20.16	696 mult(A,mult(B,mult(ld(mult(C,D),C),B))) = mult(rd(mult(A,B),D),B).  [para(542(a,1),11(a,1,1)),flip(a)].
19.85/20.16	714 rd(A,rd(ld(B,C),B)) = mult(rd(mult(A,B),C),B).  [para(87(a,1),542(a,1,2,1)),rewrite([68(4),696(5)]),flip(a)].
19.85/20.16	723 mult(mult(A,ld(B,C)),ld(C,B)) = A.  [back_rewrite(640),rewrite([694(2),694(4)])].
19.85/20.16	808 mult(ld(mult(A,B),A),rd(C,B)) = rd(ld(B,C),B).  [para(542(a,1),36(a,1,2)),rewrite([303(4),542(7)]),flip(a)].
19.85/20.16	813 ld(mult(A,ld(B,C)),A) = ld(C,B).  [para(9(a,1),556(a,1,1)),flip(a)].
19.85/20.16	839 mult(ld(A,rd(A,B)),rd(C,B)) = rd(ld(B,C),B).  [para(581(a,1),36(a,1,2)),rewrite([301(3),10(4),581(7)]),flip(a)].
19.85/20.16	888 mult(mult(A,mult(B,ld(C,D))),ld(D,C)) = mult(mult(A,ld(C,D)),mult(ld(D,C),B)).  [para(694(a,1),23(a,1,1,2)),rewrite([694(7)])].
19.85/20.16	893 ld(mult(A,ld(B,C)),mult(D,ld(C,B))) = mult(ld(C,B),mult(ld(A,D),ld(C,B))).  [para(694(a,1),68(a,1,1))].
19.85/20.16	953 ld(mult(A,mult(ld(B,C),C)),mult(mult(A,ld(B,C)),B)) = ld(C,B).  [para(41(a,1),813(a,1,1,2)),rewrite([813(3)]),flip(a)].
19.85/20.16	955 mult(ld(mult(A,B),rd(C,B)),B) = ld(B,ld(A,C)).  [para(7(a,1),108(a,1,2,2)),flip(a)].
19.85/20.16	973 mult(ld(mult(A,B),ld(mult(C,B),C)),B) = ld(B,ld(A,ld(B,B))).  [para(408(a,1),108(a,1,2,2)),flip(a)].
19.85/20.16	986 mult(mult(ld(A,B),ld(A,B)),mult(ld(B,A),ld(C,D))) = ld(ld(B,A),ld(C,D)).  [para(723(a,1),108(a,1,2,2)),rewrite([893(8),888(10)]),flip(a)].
19.85/20.16	1009 ld(rd(mult(A,B),mult(B,C)),rd(A,rd(C,B))) = B.  [para(191(a,1),14(a,1,1))].
19.85/20.16	1025 mult(rd(A,mult(B,B)),B) = mult(rd(A,B),ld(B,B)).  [para(408(a,1),191(a,2,2)),rewrite([694(3),10(2),694(5),10(4),542(6),694(6)])].
19.85/20.16	1034 rd(mult(A,mult(ld(B,rd(B,mult(A,B))),A)),A) = rd(mult(ld(rd(B,A),rd(B,A)),A),mult(A,B)).  [para(658(a,1),191(a,1,1)),rewrite([277(4),68(5)])].
19.85/20.16	1188 rd(ld(A,rd(A,A)),rd(B,A)) = mult(rd(ld(A,A),mult(A,B)),A).  [para(658(a,1),277(a,1,1))].
19.85/20.16	1192 rd(A,mult(rd(B,C),mult(C,rd(B,C)))) = mult(rd(rd(A,rd(B,C)),mult(C,B)),C).  [para(277(a,1),211(a,1)),flip(a)].
19.85/20.16	1197 ld(mult(rd(A,B),C),rd(A,C)) = rd(ld(C,B),C).  [para(9(a,1),278(a,1,1,1,2))].
19.85/20.16	1201 rd(ld(mult(A,B),A),C) = rd(ld(C,rd(C,B)),C).  [para(542(a,1),278(a,1,1,1,2)),rewrite([1197(5)]),flip(a)].
19.85/20.16	1205 mult(ld(A,B),mult(mult(ld(B,A),C),ld(A,B))) = mult(C,ld(A,B)).  [para(694(a,1),278(a,1,2)),rewrite([893(8),14(5),694(8)])].
19.85/20.16	1283 mult(ld(ld(A,B),C),ld(B,A)) = mult(ld(B,A),mult(C,ld(B,A))).  [para(9(a,1),303(a,1,1)),rewrite([694(3),36(4),694(8)]),flip(a)].
19.85/20.16	1313 mult(ld(ld(mult(A,B),A),C),B) = mult(B,mult(C,B)).  [para(542(a,1),303(a,1,1)),rewrite([694(5),10(4),68(4),10(2),694(8),10(7)]),flip(a)].
19.85/20.16	1324 ld(mult(rd(mult(A,B),C),B),A) = rd(ld(B,C),B).  [para(303(a,1),813(a,2)),rewrite([68(4),696(5)])].
19.85/20.16	1457 mult(ld(A,rd(A,A)),ld(A,A)) = ld(A,rd(A,A)).  [para(19(a,1),406(a,1,2,1)),rewrite([693(6),693(8),9(5),1188(4),1025(4),658(2),693(10)])].
19.85/20.16	1488 ld(ld(A,B),ld(B,A)) = mult(ld(B,A),ld(B,A)).  [para(425(a,1),35(a,1,2)),rewrite([986(7),425(7),1205(10)])].
19.85/20.16	1511 ld(mult(A,mult(ld(A,A),A)),mult(A,mult(A,A))) = A.  [para(408(a,1),537(a,1,1,2)),rewrite([35(3),10(8)])].
19.85/20.16	1539 mult(A,rd(B,B)) = mult(A,ld(B,B)).  [para(645(a,1),8(a,1,1)),rewrite([30(4),7(2)])].
19.85/20.16	1540 mult(rd(A,A),mult(A,A)) = mult(A,A).  [para(9(a,1),645(a,1,1)),flip(a)].
19.85/20.16	1594 mult(c1,ld(c2,c2)) != c1 | mult(rd(c2,c2),c1) != c1 # answer(goals).  [back_rewrite(12),rewrite([1539(5)])].
19.85/20.16	1696 rd(A,A) = ld(A,A).  [para(1539(a,1),10(a,1,2)),rewrite([10(3)]),flip(a)].
19.85/20.16	1702 mult(c1,ld(c2,c2)) != c1 | mult(ld(c2,c2),c1) != c1 # answer(goals).  [back_rewrite(1594),rewrite([1696(10)])].
19.85/20.16	1703 mult(ld(A,A),mult(A,A)) = mult(A,A).  [back_rewrite(1540),rewrite([1696(1)])].
19.85/20.16	1722 mult(ld(A,ld(A,A)),ld(A,A)) = ld(A,ld(A,A)).  [back_rewrite(1457),rewrite([1696(1),1696(5)])].
19.85/20.16	1736 ld(mult(A,mult(B,mult(C,B))),mult(mult(A,B),C)) = ld(B,ld(B,B)).  [back_rewrite(693),rewrite([1696(7)])].
19.85/20.16	1738 ld(mult(rd(A,B),mult(B,C)),mult(A,rd(C,B))) = ld(B,ld(B,B)).  [back_rewrite(690),rewrite([1696(7)])].
19.85/20.16	1741 rd(ld(mult(A,B),A),C) = rd(ld(B,ld(B,B)),C).  [back_rewrite(687),rewrite([1696(4)])].
19.85/20.16	1752 rd(ld(A,A),A) = ld(A,ld(A,A)).  [back_rewrite(658),rewrite([1696(3)])].
19.85/20.16	1755 mult(ld(A,A),A) = A.  [para(1696(a,1),7(a,1,1))].
19.85/20.16	1756 ld(ld(A,A),A) = A.  [para(1696(a,1),14(a,1,1))].
19.85/20.16	1758 ld(mult(A,rd(B,A)),mult(ld(A,A),mult(A,B))) = A.  [para(1696(a,1),48(a,1,2,1))].
19.85/20.16	1759 ld(rd(A,B),rd(A,B)) = mult(rd(A,mult(B,A)),B).  [para(1696(a,1),59(a,2)),rewrite([1192(7),8(4)]),flip(a)].
19.85/20.16	1761 mult(mult(ld(mult(A,B),mult(A,B)),A),rd(B,A)) = rd(mult(A,B),A).  [para(1696(a,1),86(a,1,1,1))].
19.85/20.16	1763 mult(ld(A,ld(A,A)),A) = ld(A,A).  [para(1696(a,1),420(a,1,1,2))].
19.85/20.16	1766 mult(A,ld(B,ld(B,B))) = rd(A,B).  [para(1696(a,1),581(a,1,2,2))].
19.85/20.16	1767 ld(mult(A,B),A) = ld(B,ld(B,B)).  [para(1696(a,1),588(a,2,2))].
19.85/20.16	1768 ld(A,ld(A,A)) = ld(B,rd(B,A)).  [para(1696(a,1),589(a,1,2))].
19.85/20.16	1770 ld(mult(A,A),mult(A,A)) = ld(A,A).  [para(1696(a,1),191(a,2)),rewrite([1696(1),694(2),9(2),1696(1)]),flip(a)].
19.85/20.16	1775 rd(mult(ld(A,A),B),A) = mult(A,rd(ld(A,B),A)).  [para(1696(a,1),301(a,1,1,1))].
19.85/20.16	1785 ld(mult(A,A),mult(A,mult(A,A))) = A.  [back_rewrite(1511),rewrite([1755(2)])].
19.85/20.16	1790 rd(mult(A,mult(ld(B,rd(B,mult(A,B))),A)),A) = rd(mult(mult(rd(B,mult(A,B)),A),A),mult(A,B)).  [back_rewrite(1034),rewrite([1759(9)])].
19.85/20.16	1800 mult(rd(A,B),mult(B,B)) = mult(mult(A,B),ld(B,B)).  [para(1755(a,1),23(a,2,2)),rewrite([694(2),9(2),694(5),645(6)]),flip(a)].
19.85/20.16	1802 mult(mult(A,mult(B,B)),ld(B,B)) = mult(mult(A,B),B).  [para(1755(a,1),21(a,1,1,2,2)),rewrite([9(8),1755(7)])].
19.85/20.16	1810 ld(ld(A,B),mult(ld(B,A),ld(A,B))) = ld(B,A).  [para(1755(a,1),813(a,1,1)),rewrite([425(4)])].
19.85/20.16	1813 mult(ld(mult(A,B),ld(B,B)),B) = ld(B,ld(A,B)).  [para(1755(a,1),108(a,1,2,2)),flip(a)].
19.85/20.16	1857 mult(mult(A,ld(B,B)),B) = mult(mult(A,B),ld(B,B)).  [back_rewrite(645),rewrite([1800(6)])].
19.85/20.16	1936 mult(mult(mult(A,B),B),ld(B,B)) = mult(A,mult(B,B)).  [para(1755(a,1),50(a,1,1,2)),rewrite([694(2),1857(3),694(5),9(5),1857(4),694(6),9(6),694(7),9(7),1755(6)])].
19.85/20.16	1942 mult(mult(mult(A,B),B),mult(B,B)) = mult(A,mult(mult(B,B),mult(B,B))).  [para(1703(a,1),11(a,2,2,2)),rewrite([1802(4)])].
19.85/20.16	1943 ld(mult(mult(A,B),B),mult(A,mult(mult(B,B),mult(B,B)))) = mult(B,B).  [para(1703(a,1),19(a,1,2,2,2)),rewrite([1802(4)])].
19.85/20.16	1981 mult(ld(A,ld(A,A)),mult(A,mult(B,A))) = mult(mult(ld(A,A),B),A).  [para(1752(a,1),15(a,1,1))].
19.85/20.16	2115 mult(ld(A,ld(A,A)),rd(B,A)) = rd(ld(A,B),A).  [para(1766(a,1),36(a,1,2)),rewrite([1775(3),10(4),1766(7)]),flip(a)].
19.85/20.16	2126 mult(ld(ld(A,ld(A,A)),B),A) = mult(A,mult(B,A)).  [para(1766(a,1),303(a,1,1)),rewrite([694(5),1756(4),68(4),10(2),694(8),1756(7)]),flip(a)].
19.85/20.16	2177 mult(mult(A,A),mult(A,A)) = mult(A,mult(A,mult(A,A))).  [para(1770(a,1),35(a,1,2)),rewrite([1802(5),11(3),1770(7),1703(7)]),flip(a)].
19.85/20.16	2183 mult(ld(mult(mult(A,A),A),A),A) = ld(A,ld(A,A)).  [para(1770(a,1),108(a,1,2)),flip(a)].
19.85/20.16	2197 ld(mult(mult(A,B),B),mult(A,mult(B,mult(B,mult(B,B))))) = mult(B,B).  [back_rewrite(1943),rewrite([2177(5)])].
19.85/20.16	2198 mult(mult(mult(A,B),B),mult(B,B)) = mult(A,mult(B,mult(B,mult(B,B)))).  [back_rewrite(1942),rewrite([2177(7)])].
19.85/20.16	2279 mult(mult(A,A),A) = mult(A,mult(A,A)).  [para(1785(a,1),9(a,1,2))].
19.85/20.16	2293 mult(ld(mult(A,mult(A,A)),A),A) = ld(A,ld(A,A)).  [back_rewrite(2183),rewrite([2279(2)])].
19.85/20.16	2388 rd(A,rd(ld(mult(B,C),B),C)) = mult(A,mult(C,C)).  [para(1767(a,2),714(a,1,2,1)),rewrite([694(7),1857(8),1936(8)])].
19.85/20.16	2402 mult(rd(ld(mult(A,B),A),B),mult(B,C)) = ld(B,C).  [para(808(a,1),23(a,1,1)),rewrite([7(3)]),flip(a)].
19.85/20.16	2458 mult(ld(mult(A,mult(B,B)),A),B) = rd(B,mult(B,B)).  [para(1785(a,1),808(a,2,1)),rewrite([8(7)])].
19.85/20.16	2461 rd(A,mult(A,A)) = ld(A,ld(A,A)).  [back_rewrite(2293),rewrite([2458(4)])].
19.85/20.16	2535 ld(ld(A,ld(A,A)),A) = mult(A,A).  [para(2461(a,1),14(a,1,1))].
19.85/20.16	2540 mult(ld(A,A),ld(A,A)) = ld(A,A).  [para(2461(a,1),86(a,1,1,1)),rewrite([1763(3),1696(2),1696(4)])].
19.85/20.16	2544 mult(ld(mult(A,B),A),mult(B,B)) = B.  [para(542(a,1),2461(a,1,2)),rewrite([2388(6),425(11),10(8),542(9),1696(7),426(8)])].
19.85/20.16	2548 ld(A,ld(A,ld(A,A))) = ld(B,rd(B,mult(A,A))).  [para(2461(a,1),589(a,1,2))].
19.85/20.16	2552 rd(mult(mult(rd(A,mult(B,A)),B),B),mult(B,A)) = rd(A,mult(B,mult(rd(rd(A,B),B),mult(B,A)))).  [para(2461(a,1),211(a,1,1)),rewrite([1759(4),68(5),1790(6),23(10)])].
19.85/20.16	2573 rd(mult(A,mult(ld(B,rd(B,mult(A,B))),A)),A) = rd(B,mult(A,mult(rd(rd(B,A),A),mult(A,B)))).  [back_rewrite(1790),rewrite([2552(12)])].
19.85/20.16	2606 rd(ld(mult(A,B),A),B) = ld(B,ld(mult(A,B),A)).  [para(542(a,1),2535(a,2)),rewrite([425(7),10(4),542(5),1696(3),426(4)]),flip(a)].
19.85/20.16	2607 rd(ld(A,rd(A,B)),B) = ld(B,ld(A,rd(A,B))).  [para(581(a,1),2535(a,2)),rewrite([425(7),14(4),581(5),1696(3),498(4)]),flip(a)].
19.85/20.16	2610 ld(ld(A,rd(A,B)),B) = mult(B,B).  [para(1768(a,1),2535(a,1,1))].
19.85/20.16	2616 mult(ld(A,ld(mult(B,A),B)),mult(A,C)) = ld(A,C).  [back_rewrite(2402),rewrite([2606(3)])].
19.85/20.16	2628 mult(ld(A,A),mult(ld(A,A),mult(B,ld(A,A)))) = mult(mult(ld(A,A),B),ld(A,A)).  [para(2540(a,1),11(a,1,1,1)),flip(a)].
19.85/20.16	2629 ld(ld(A,A),mult(B,ld(A,A))) = mult(mult(ld(A,A),B),ld(A,A)).  [para(2540(a,1),33(a,1,2,1,1)),rewrite([1283(5),2628(6)]),flip(a)].
19.85/20.16	2703 ld(A,ld(mult(B,A),B)) = ld(C,rd(C,mult(A,A))).  [para(2544(a,1),588(a,1,1))].
19.85/20.16	3015 rd(mult(A,mult(ld(B,C),A)),A) = ld(ld(A,ld(A,A)),ld(B,C)).  [para(955(a,1),1766(a,1)),rewrite([1766(7),694(8),1756(7),68(7)]),flip(a)].
19.85/20.16	3026 ld(ld(A,A),ld(ld(A,A),B)) = mult(ld(A,A),B).  [para(2540(a,1),955(a,1,1,1)),rewrite([694(3),2629(4),723(6)]),flip(a)].
19.85/20.16	3038 rd(A,mult(B,mult(rd(rd(A,B),B),mult(B,A)))) = ld(ld(B,ld(B,B)),ld(A,rd(A,mult(B,A)))).  [back_rewrite(2573),rewrite([3015(6)]),flip(a)].
19.85/20.16	3044 ld(rd(A,mult(ld(B,A),C)),rd(B,mult(C,ld(A,B)))) = ld(B,A).  [para(9(a,1),1009(a,1,1,1)),rewrite([694(5)])].
19.85/20.16	3094 ld(mult(rd(A,B),ld(B,B)),rd(A,mult(B,B))) = ld(B,ld(B,B)).  [para(1763(a,1),1009(a,1,1,2)),rewrite([1766(3),694(3),694(6),1756(5)])].
19.85/20.16	3406 ld(ld(mult(A,B),A),rd(ld(C,rd(C,B)),C)) = ld(C,ld(C,C)).  [para(1201(a,1),1768(a,2,2)),flip(a)].
19.85/20.16	3439 mult(ld(mult(A,B),A),C) = mult(ld(B,ld(B,B)),C).  [para(1201(a,1),1201(a,2,1,2)),rewrite([694(5),10(4),3406(9),694(8),10(7)])].
19.85/20.16	3790 ld(mult(ld(mult(A,B),mult(A,B)),B),A) = rd(ld(B,mult(A,B)),B).  [para(1696(a,1),1324(a,1,1,1))].
19.85/20.16	4273 ld(ld(mult(A,B),A),rd(ld(B,ld(B,B)),C)) = ld(mult(D,C),D).  [para(1741(a,1),588(a,2,2)),flip(a)].
19.85/20.16	4275 ld(ld(mult(A,B),A),rd(ld(B,ld(B,B)),C)) = ld(D,rd(D,C)).  [para(1741(a,1),589(a,1,2))].
19.85/20.16	4290 ld(ld(mult(A,B),A),rd(ld(B,ld(B,B)),C)) = ld(C,ld(C,C)).  [para(1741(a,1),1768(a,2,2)),flip(a)].
19.85/20.16	4734 ld(mult(A,ld(B,C)),mult(A,ld(B,C))) = mult(rd(A,mult(ld(C,B),A)),ld(C,B)).  [para(694(a,1),1759(a,1,1)),rewrite([694(4)])].
19.85/20.16	4739 mult(A,mult(mult(rd(B,mult(A,B)),A),A)) = ld(rd(rd(B,A),A),B).  [para(1759(a,1),269(a,1,2,1))].
19.85/20.16	5606 ld(mult(mult(A,B),B),mult(mult(mult(A,mult(B,B)),C),ld(B,B))) = mult(ld(B,B),mult(C,ld(B,B))).  [para(1802(a,1),303(a,1,1)),rewrite([694(7),694(12),1283(12)])].
19.85/20.16	5626 mult(ld(mult(mult(A,B),B),mult(C,ld(B,B))),ld(B,B)) = ld(ld(B,B),ld(mult(A,mult(B,B)),C)).  [para(1802(a,1),955(a,1,1,1)),rewrite([694(4)])].
19.85/20.16	5643 ld(mult(mult(A,mult(B,B)),rd(ld(B,B),mult(A,mult(B,B)))),mult(ld(mult(A,mult(B,B)),mult(A,mult(B,B))),mult(mult(A,B),B))) = mult(A,mult(B,B)).  [para(1802(a,1),1758(a,1,2,2))].
19.85/20.16	6600 mult(mult(ld(mult(A,ld(B,B)),ld(B,B)),B),ld(B,B)) = mult(ld(ld(B,B),ld(A,ld(B,B))),B).  [para(1813(a,1),1857(a,1,1)),rewrite([425(10),2540(10)]),flip(a)].
19.85/20.16	7126 rd(ld(A,mult(B,A)),A) = mult(ld(A,ld(A,A)),B).  [para(8(a,1),2115(a,1,2)),flip(a)].
19.85/20.16	7196 ld(mult(ld(mult(A,B),mult(A,B)),B),A) = mult(ld(B,ld(B,B)),A).  [back_rewrite(3790),rewrite([7126(8)])].
19.85/20.16	8223 mult(ld(A,ld(A,ld(A,A))),B) = mult(B,mult(rd(ld(mult(C,B),C),mult(A,A)),B)).  [para(2548(a,2),1313(a,1,1))].
19.85/20.16	8579 ld(A,ld(mult(B,A),B)) = rd(ld(A,C),mult(A,C)).  [para(2616(a,1),8(a,1,1)),flip(a)].
19.85/20.16	8580 mult(ld(A,ld(mult(B,A),B)),C) = ld(A,ld(A,C)).  [para(9(a,1),2616(a,1,2))].
19.85/20.16	8660 mult(ld(A,A),mult(ld(A,A),B)) = ld(ld(A,A),B).  [para(2540(a,1),2616(a,1,1,2,1)),rewrite([425(4),2540(4),425(3),2540(3)])].
19.85/20.16	8673 ld(ld(A,rd(A,B)),rd(C,B)) = rd(mult(B,C),B).  [para(839(a,1),2616(a,1,2)),rewrite([581(5),14(4),2610(3),87(4)]),flip(a)].
19.85/20.16	9130 mult(A,mult(rd(ld(mult(B,A),B),mult(C,C)),A)) = ld(C,ld(C,A)).  [para(2703(a,2),1313(a,1,1)),rewrite([8580(4)]),flip(a)].
19.85/20.16	9143 mult(ld(A,ld(A,ld(A,A))),B) = ld(A,ld(A,B)).  [back_rewrite(8223),rewrite([9130(10)])].
19.85/20.16	10279 mult(A,ld(ld(ld(B,B),C),ld(B,B))) = rd(A,mult(ld(B,B),C)).  [para(3026(a,1),694(a,1,2)),flip(a)].
19.85/20.16	10295 ld(ld(ld(ld(A,A),B),ld(A,A)),ld(mult(ld(A,A),B),mult(ld(A,A),B))) = mult(ld(A,A),B).  [para(3026(a,1),1810(a,1,2,1)),rewrite([10279(11),1696(9),3026(14)])].
19.85/20.16	10609 mult(ld(mult(A,B),A),ld(ld(B,ld(B,B)),C)) = C.  [para(3439(a,2),9(a,1))].
19.85/20.16	12669 ld(A,ld(B,rd(B,A))) = rd(ld(A,C),mult(A,C)).  [para(7(a,1),8579(a,1,2,1))].
19.85/20.16	12770 ld(A,rd(A,mult(B,B))) = rd(ld(B,C),mult(B,C)).  [para(8579(a,1),2703(a,1)),flip(a)].
19.85/20.16	12864 ld(ld(A,B),ld(ld(A,B),C)) = mult(mult(ld(B,A),ld(B,A)),C).  [para(9(a,1),8580(a,1,1,2,1)),rewrite([1488(3)]),flip(a)].
19.85/20.16	13248 ld(ld(A,rd(A,B)),ld(B,ld(C,rd(C,B)))) = ld(B,ld(B,B)).  [para(2607(a,1),8673(a,1,2)),rewrite([581(9),1696(7),1752(8)])].
19.85/20.16	13301 ld(ld(ld(A,ld(A,B)),ld(A,ld(A,ld(A,A)))),ld(B,B)) = B.  [para(9143(a,1),426(a,1,1,1))].
19.85/20.16	13307 ld(ld(A,ld(A,ld(B,C))),ld(A,ld(A,ld(A,A)))) = ld(C,B).  [para(9143(a,1),813(a,1,1))].
19.85/20.16	15271 ld(ld(A,B),ld(A,ld(C,rd(C,A)))) = ld(mult(A,B),ld(mult(A,B),mult(A,B))).  [para(12669(a,2),1768(a,2,2)),flip(a)].
19.85/20.16	24977 ld(rd(A,B),rd(rd(A,B),C)) = ld(mult(A,C),A).  [para(10609(a,1),3044(a,1,1,2)),rewrite([10(7),2126(6),59(5)])].
19.85/20.16	24983 mult(A,mult(ld(B,rd(B,mult(A,C))),A)) = ld(mult(B,rd(C,A)),B).  [para(277(a,1),24977(a,1,2)),rewrite([68(5)])].
19.85/20.16	25107 ld(ld(A,ld(A,A)),ld(B,rd(B,mult(A,A)))) = ld(A,ld(A,A)).  [para(12770(a,2),3094(a,1,2)),rewrite([1752(2),1722(4)])].
19.85/20.16	25787 ld(ld(A,ld(A,A)),ld(B,rd(B,mult(A,B)))) = rd(ld(mult(B,rd(B,A)),B),A).  [para(2461(a,1),220(a,2,1)),rewrite([7(2),3038(6),1759(10),68(11),24983(11)])].
19.85/20.16	27553 mult(ld(A,A),rd(B,mult(ld(A,A),B))) = ld(B,B).  [para(723(a,1),4739(a,1,2)),rewrite([694(7),694(9),723(9)])].
19.85/20.16	27577 mult(ld(A,ld(B,B)),ld(ld(B,B),A)) = mult(ld(B,B),rd(ld(ld(B,B),A),A)).  [para(9(a,1),27553(a,1,2,2)),rewrite([425(10)]),flip(a)].
19.85/20.16	27578 rd(A,mult(ld(B,B),A)) = ld(ld(B,B),ld(A,A)).  [para(27553(a,1),10(a,1,2)),flip(a)].
19.85/20.16	27582 ld(ld(ld(A,A),ld(B,B)),ld(B,B)) = mult(ld(A,A),ld(B,B)).  [para(27553(a,1),537(a,1,2)),rewrite([27578(3),27578(6),126(11),10279(7),27578(5),425(4),2540(4),27578(9),12864(10),2540(8)])].
19.85/20.16	27593 mult(ld(A,A),mult(ld(ld(A,A),ld(B,B)),ld(B,B))) = ld(B,B).  [para(27553(a,1),973(a,1,1,1)),rewrite([27578(4),813(6),12864(5),2540(3),27578(6),35(7),27578(10),27578(14),27578(17),425(18),27577(18),694(17),10(19),10(16)])].
19.85/20.16	27595 ld(ld(A,A),ld(B,B)) = mult(ld(B,B),ld(A,A)).  [para(27553(a,1),1736(a,1,1,2,2)),rewrite([27578(3),27578(9),953(13),27578(6),27578(9),27578(12),425(13),27577(13),694(12),27593(13),27582(8)])].
19.85/20.16	27596 mult(ld(A,A),mult(ld(B,B),ld(A,A))) = ld(B,B).  [para(27553(a,1),1738(a,1,1,2)),rewrite([694(2),27578(7),27595(7),694(9),723(9),893(7),813(4),27595(9),2540(9),27595(8),2540(8)])].
19.85/20.16	27597 mult(mult(ld(A,A),ld(B,B)),ld(A,A)) = mult(ld(A,A),ld(B,B)).  [para(27553(a,1),1761(a,1,1,1,1)),rewrite([27578(5),27595(5),27596(6),27595(3),2540(3),27578(6),27595(6),694(8),723(8),27578(9),27595(9),27596(10),694(8)])].
19.85/20.16	27598 mult(mult(ld(A,A),ld(B,B)),mult(ld(A,A),ld(B,B))) = ld(A,A).  [para(27553(a,1),1981(a,1,2,2)),rewrite([27578(3),27595(3),27578(6),27595(6),27578(9),27595(9),4734(10),27578(8),27595(7),2540(7),27595(6),723(8),813(5),27578(4),27595(4),27597(6),27596(5),27578(4),27595(4),27578(7),27595(7),4734(8),27578(6),27595(5),2540(5),27595(4),723(6),27578(7),27595(7)]),flip(a)].
19.85/20.16	27605 ld(A,A) = ld(B,B).  [para(27553(a,1),2197(a,1,1,1)),rewrite([27578(4),27595(4),8660(5),27595(3),27578(7),27595(7),27578(10),27595(10),27578(13),27595(13),27578(16),27595(16),27598(17),27597(12),27598(11),4734(7),27578(5),27595(4),2540(4),27595(3),723(5),27578(4),27595(4),27578(7),27595(7),27598(8)])].
19.85/20.16	27606 mult(ld(A,A),ld(B,B)) = ld(A,A).  [para(27553(a,1),2198(a,1,1,1)),rewrite([27578(4),27595(4),8660(5),27595(3),27578(6),27595(6),27578(9),27595(9),27598(10),723(5),27578(5),27595(5),27578(8),27595(8),27578(11),27595(11),27578(14),27595(14),27598(15),27597(10),27598(9)]),flip(a)].
19.85/20.16	27643 ld(ld(A,A),rd(ld(B,B),C)) = ld(mult(D,C),D).  [para(27553(a,1),4273(a,1,1,1)),rewrite([27595(3),27606(3),27578(4),27595(4),27606(4),27578(5),27595(5),27606(5),27578(6),27595(6),27606(6),27595(5),2540(5),27595(4),2540(4)])].
19.85/20.16	27644 ld(ld(A,A),rd(ld(B,B),C)) = ld(D,rd(D,C)).  [para(27553(a,1),4275(a,1,1,1)),rewrite([27595(3),27606(3),27578(4),27595(4),27606(4),27578(5),27595(5),27606(5),27578(6),27595(6),27606(6),27595(5),2540(5),27595(4),2540(4)])].
19.85/20.16	27646 ld(ld(A,A),rd(ld(B,B),C)) = ld(C,ld(C,C)).  [para(27553(a,1),4290(a,1,1,1)),rewrite([27595(3),27606(3),27578(4),27595(4),27606(4),27578(5),27595(5),27606(5),27578(6),27595(6),27606(6),27595(5),2540(5),27595(4),2540(4)])].
19.85/20.16	27659 ld(A,A) = c_0.  [new_symbol(27605)].
19.85/20.16	27682 ld(c_0,rd(c_0,A)) = ld(A,c_0).  [back_rewrite(27646),rewrite([27659(1),27659(2),27659(5)])].
19.85/20.16	27683 ld(A,rd(A,B)) = ld(B,c_0).  [back_rewrite(27644),rewrite([27659(1),27659(2),27682(4)]),flip(a)].
19.85/20.16	27684 ld(mult(A,B),A) = ld(B,c_0).  [back_rewrite(27643),rewrite([27659(1),27659(2),27683(4)]),flip(a)].
19.85/20.16	27779 ld(ld(A,c_0),ld(mult(A,B),c_0)) = rd(ld(rd(B,A),c_0),A).  [back_rewrite(25787),rewrite([27659(1),27683(5),27684(9)])].
19.85/20.16	27820 rd(c_0,A) = ld(A,c_0).  [back_rewrite(25107),rewrite([27659(1),27683(5),27779(6),1696(1),27659(1),27659(3),27659(3)])].
19.85/20.16	28073 ld(ld(A,B),ld(A,ld(A,c_0))) = ld(mult(A,B),c_0).  [back_rewrite(15271),rewrite([27683(3),27659(9)])].
19.85/20.16	28122 ld(ld(A,B),c_0) = ld(B,A).  [back_rewrite(13307),rewrite([27659(4),28073(7),9(3)])].
19.85/20.16	28124 ld(c_0,A) = A.  [back_rewrite(13301),rewrite([27659(3),28073(6),9(2),27659(3),28122(4)])].
19.85/20.16	28151 ld(mult(A,c_0),c_0) = ld(A,c_0).  [back_rewrite(13248),rewrite([27683(2),27683(4),28073(6),27659(5)])].
19.85/20.16	28679 mult(c_0,A) = A.  [back_rewrite(10295),rewrite([27659(1),28124(2),27659(1),27659(3),27659(5),27659(7),28122(4),28124(2),27659(1)]),flip(a)].
19.85/20.16	29080 mult(ld(A,c_0),B) = ld(A,B).  [back_rewrite(7196),rewrite([27659(3),28679(2),27659(2)]),flip(a)].
19.85/20.16	29265 mult(ld(A,B),c_0) = ld(A,B).  [back_rewrite(6600),rewrite([27659(1),27659(3),28151(4),29080(3),27659(2),27659(4),27659(5),28124(7),29080(6)])].
19.85/20.16	29518 mult(mult(A,B),B) = mult(A,mult(B,B)).  [back_rewrite(5643),rewrite([27659(3),27820(6),9(7),27659(6),28679(5),28124(4)])].
19.85/20.16	29522 ld(mult(A,mult(B,B)),mult(C,c_0)) = ld(mult(A,mult(B,B)),C).  [back_rewrite(5626),rewrite([29518(2),27659(3),27659(6),29265(7),27659(6),28124(10)])].
19.85/20.16	29527 mult(A,c_0) = A.  [back_rewrite(5606),rewrite([29518(2),27659(6),29522(8),10(6),27659(1),27659(2),28679(4)]),flip(a)].
19.85/20.16	30009 $F # answer(goals).  [back_rewrite(1702),rewrite([27659(4),29527(3),27659(6),28679(6)]),xx(a),xx(b)].
19.85/20.16	
19.85/20.16	% SZS output end Refutation
19.85/20.16	============================== end of proof ==========================
19.85/20.16	
19.85/20.16	============================== STATISTICS ============================
19.85/20.16	
19.85/20.16	Given=711. Generated=645604. Kept=30002. proofs=1.
19.85/20.16	Usable=445. Sos=5702. Demods=7498. Limbo=2350, Disabled=21511. Hints=0.
19.85/20.16	Megabytes=32.48.
19.85/20.16	User_CPU=18.78, System_CPU=0.39, Wall_clock=19.
19.85/20.16	
19.85/20.16	============================== end of statistics =====================
19.85/20.16	
19.85/20.16	============================== end of search =========================
19.85/20.16	
19.85/20.16	THEOREM PROVED
19.85/20.16	% SZS status Theorem
19.85/20.16	
19.85/20.16	Exiting with 1 proof.
19.85/20.16	
19.85/20.16	Process 15784 exit (max_proofs) Tue Jul 13 14:52:49 2021
19.85/20.16	Prover9 interrupted
19.85/20.16	EOF