0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : tptp2X_and_run_prover9 %d %s
0.03/0.23	% Computer   : n014.star.cs.uiowa.edu
0.03/0.23	% Model      : x86_64 x86_64
0.03/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.23	% Memory     : 32218.625MB
0.03/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.23	% CPULimit   : 300
0.03/0.23	% DateTime   : Sat Jul 14 05:27:40 CDT 2018
0.03/0.23	% CPUTime    : 
2.88/3.15	============================== Prover9 ===============================
2.88/3.15	Prover9 (32) version 2009-11A, November 2009.
2.88/3.15	Process 19289 was started by sandbox on n014.star.cs.uiowa.edu,
2.88/3.15	Sat Jul 14 05:27:40 2018
2.88/3.15	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19257_n014.star.cs.uiowa.edu".
2.88/3.15	============================== end of head ===========================
2.88/3.15	
2.88/3.15	============================== INPUT =================================
2.88/3.15	
2.88/3.15	% Reading from file /tmp/Prover9_19257_n014.star.cs.uiowa.edu
2.88/3.15	
2.88/3.15	set(prolog_style_variables).
2.88/3.15	set(auto2).
2.88/3.15	    % set(auto2) -> set(auto).
2.88/3.15	    % set(auto) -> set(auto_inference).
2.88/3.15	    % set(auto) -> set(auto_setup).
2.88/3.15	    % set(auto_setup) -> set(predicate_elim).
2.88/3.15	    % set(auto_setup) -> assign(eq_defs, unfold).
2.88/3.15	    % set(auto) -> set(auto_limits).
2.88/3.15	    % set(auto_limits) -> assign(max_weight, "100.000").
2.88/3.15	    % set(auto_limits) -> assign(sos_limit, 20000).
2.88/3.15	    % set(auto) -> set(auto_denials).
2.88/3.15	    % set(auto) -> set(auto_process).
2.88/3.15	    % set(auto2) -> assign(new_constants, 1).
2.88/3.15	    % set(auto2) -> assign(fold_denial_max, 3).
2.88/3.15	    % set(auto2) -> assign(max_weight, "200.000").
2.88/3.15	    % set(auto2) -> assign(max_hours, 1).
2.88/3.15	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
2.88/3.15	    % set(auto2) -> assign(max_seconds, 0).
2.88/3.15	    % set(auto2) -> assign(max_minutes, 5).
2.88/3.15	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
2.88/3.15	    % set(auto2) -> set(sort_initial_sos).
2.88/3.15	    % set(auto2) -> assign(sos_limit, -1).
2.88/3.15	    % set(auto2) -> assign(lrs_ticks, 3000).
2.88/3.15	    % set(auto2) -> assign(max_megs, 400).
2.88/3.15	    % set(auto2) -> assign(stats, some).
2.88/3.15	    % set(auto2) -> clear(echo_input).
2.88/3.15	    % set(auto2) -> set(quiet).
2.88/3.15	    % set(auto2) -> clear(print_initial_clauses).
2.88/3.15	    % set(auto2) -> clear(print_given).
2.88/3.15	assign(lrs_ticks,-1).
2.88/3.15	assign(sos_limit,10000).
2.88/3.15	assign(order,kbo).
2.88/3.15	set(lex_order_vars).
2.88/3.15	clear(print_given).
2.88/3.15	
2.88/3.15	% formulas(sos).  % not echoed (6 formulas)
2.88/3.15	
2.88/3.15	============================== end of input ==========================
2.88/3.15	
2.88/3.15	% From the command line: assign(max_seconds, 300).
2.88/3.15	
2.88/3.15	============================== PROCESS NON-CLAUSAL FORMULAS ==========
2.88/3.15	
2.88/3.15	% Formulas that are not ordinary clauses:
2.88/3.15	1 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause).  [assumption].
2.88/3.15	2 (all C all B all A mult(mult(mult(A,B),A),C) = mult(A,mult(B,mult(A,C)))) # label(f05) # label(axiom) # label(non_clause).  [assumption].
2.88/3.15	3 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause).  [assumption].
2.88/3.15	4 (all B all A A = rd(mult(A,B),B)) # label(f04) # label(axiom) # label(non_clause).  [assumption].
2.88/3.15	5 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause).  [assumption].
2.88/3.15	6 -(exists X0 all X1 (X1 = mult(X1,X0) & mult(X0,X1) = X1)) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
2.88/3.15	
2.88/3.15	============================== end of process non-clausal formulas ===
2.88/3.15	
2.88/3.15	============================== PROCESS INITIAL CLAUSES ===============
2.88/3.15	
2.88/3.15	============================== PREDICATE ELIMINATION =================
2.88/3.15	
2.88/3.15	============================== end predicate elimination =============
2.88/3.15	
2.88/3.15	Auto_denials:
2.88/3.15	  % copying label goals to answer in negative clause
2.88/3.15	
2.88/3.15	Term ordering decisions:
2.88/3.15	
2.88/3.15	% Assigning unary symbol f1 kb_weight 0 and highest precedence (5).
2.88/3.15	Function symbol KB weights:  mult=1. ld=1. rd=1. f1=0.
2.88/3.15	
2.88/3.15	============================== end of process initial clauses ========
2.88/3.15	
2.88/3.15	============================== CLAUSES FOR SEARCH ====================
2.88/3.15	
2.88/3.15	============================== end of clauses for search =============
2.88/3.15	
2.88/3.15	============================== SEARCH ================================
2.88/3.15	
2.88/3.15	% Starting search at 0.00 seconds.
2.88/3.15	
2.88/3.15	Low Water (keep): wt=91.000, iters=3578
2.88/3.15	
2.88/3.15	Low Water (keep): wt=79.000, iters=3520
2.88/3.15	
2.88/3.15	Low Water (keep): wt=75.000, iters=3496
2.88/3.15	
2.88/3.15	Low Water (keep): wt=67.000, iters=3387
2.88/3.15	
2.88/3.15	Low Water (keep): wt=63.000, iters=3397
2.88/3.15	
2.88/3.15	Low Water (keep): wt=59.000, iters=3430
2.88/3.15	
2.88/3.15	Low Water (keep): wt=55.000, iters=3418
2.88/3.15	
2.88/3.15	Low Water (keep): wt=51.000, iters=3342
2.88/3.15	
2.88/3.15	Low Water (keep): wt=47.000, iters=3350
2.88/3.15	
2.88/3.15	Low Water (keep): wt=43.000, iters=3390
2.88/3.15	
2.88/3.15	Low Water (keep): wt=39.000, iters=3342
160.77/161.03	
160.77/161.03	Low Water (keep): wt=35.000, iters=3360
160.77/161.03	
160.77/161.03	Low Water (keep): wt=31.000, iters=3334
160.77/161.03	
160.77/161.03	Low Water (displace): id=4941, wt=135.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=3833, wt=127.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=4870, wt=123.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=4931, wt=119.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=9246, wt=118.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=9429, wt=114.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=7608, wt=110.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=9427, wt=106.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=7237, wt=102.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=9566, wt=98.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=9161, wt=94.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=9841, wt=90.000
160.77/161.03	
160.77/161.03	Low Water (displace): id=12898, wt=42.000
160.77/161.03	
160.77/161.03	Low Water (keep): wt=27.000, iters=3349
160.77/161.03	
160.77/161.03	Low Water (displace): id=14153, wt=23.000
160.77/161.03	
160.77/161.03	Low Water (keep): wt=23.000, iters=3339
160.77/161.03	
160.77/161.03	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 28 (0.00 of 8.51 sec).
160.77/161.03	
160.77/161.03	============================== PROOF =================================
160.77/161.03	% SZS status Theorem
160.77/161.03	% SZS output start Refutation
160.77/161.03	
160.77/161.03	% Proof 1 at 158.43 (+ 2.18) seconds: goals.
160.77/161.03	% Length of proof is 254.
160.77/161.03	% Level of proof is 38.
160.77/161.03	% Maximum clause weight is 51.000.
160.77/161.03	% Given clauses 2008.
160.77/161.03	
160.77/161.03	1 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause).  [assumption].
160.77/161.03	2 (all C all B all A mult(mult(mult(A,B),A),C) = mult(A,mult(B,mult(A,C)))) # label(f05) # label(axiom) # label(non_clause).  [assumption].
160.77/161.03	3 (all B all A mult(rd(A,B),B) = A) # label(f03) # label(axiom) # label(non_clause).  [assumption].
160.77/161.03	4 (all B all A A = rd(mult(A,B),B)) # label(f04) # label(axiom) # label(non_clause).  [assumption].
160.77/161.03	5 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause).  [assumption].
160.77/161.03	6 -(exists X0 all X1 (X1 = mult(X1,X0) & mult(X0,X1) = X1)) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
160.77/161.03	7 ld(A,mult(A,B)) = B # label(f02) # label(axiom).  [clausify(1)].
160.77/161.03	8 mult(rd(A,B),B) = A # label(f03) # label(axiom).  [clausify(3)].
160.77/161.03	9 rd(mult(A,B),B) = A # label(f04) # label(axiom).  [clausify(4)].
160.77/161.03	10 mult(A,ld(A,B)) = B # label(f01) # label(axiom).  [clausify(5)].
160.77/161.03	11 mult(mult(mult(A,B),A),C) = mult(A,mult(B,mult(A,C))) # label(f05) # label(axiom).  [clausify(2)].
160.77/161.03	12 mult(f1(A),A) != f1(A) | mult(A,f1(A)) != f1(A) # label(goals) # label(negated_conjecture) # answer(goals).  [clausify(6)].
160.77/161.03	13 ld(rd(A,B),A) = B.  [para(8(a,1),7(a,1,2))].
160.77/161.03	14 rd(A,ld(B,A)) = B.  [para(10(a,1),9(a,1,1))].
160.77/161.03	15 ld(mult(mult(A,B),A),mult(A,mult(B,mult(A,C)))) = C.  [para(11(a,1),7(a,1,2))].
160.77/161.03	16 mult(rd(A,B),mult(B,mult(rd(A,B),C))) = mult(mult(A,rd(A,B)),C).  [para(8(a,1),11(a,1,1,1)),flip(a)].
160.77/161.03	17 rd(mult(A,mult(B,mult(A,C))),C) = mult(mult(A,B),A).  [para(11(a,1),9(a,1,1))].
160.77/161.03	18 mult(A,mult(B,mult(A,ld(mult(mult(A,B),A),C)))) = C.  [para(11(a,1),10(a,1))].
160.77/161.03	19 mult(A,mult(ld(A,B),mult(A,C))) = mult(mult(B,A),C).  [para(10(a,1),11(a,1,1,1)),flip(a)].
160.77/161.03	21 mult(mult(A,mult(B,mult(A,mult(A,B)))),C) = mult(mult(A,B),mult(A,mult(mult(A,B),C))).  [para(11(a,1),11(a,1,1))].
160.77/161.03	24 ld(mult(mult(A,B),A),mult(A,mult(B,C))) = ld(A,C).  [para(10(a,1),15(a,1,2,2,2))].
160.77/161.03	28 rd(mult(rd(A,B),mult(C,A)),B) = mult(mult(rd(A,B),C),rd(A,B)).  [para(8(a,1),17(a,1,1,2,2))].
160.77/161.03	29 mult(mult(A,rd(B,mult(A,C))),A) = rd(mult(A,B),C).  [para(8(a,1),17(a,1,1,2)),flip(a)].
160.77/161.03	33 mult(A,mult(B,ld(mult(mult(B,A),B),C))) = ld(B,C).  [para(18(a,1),7(a,1,2)),flip(a)].
160.77/161.03	39 mult(mult(A,rd(A,B)),B) = mult(rd(A,B),mult(B,A)).  [para(8(a,1),16(a,1,2,2)),flip(a)].
160.77/161.03	45 rd(mult(A,mult(mult(B,rd(B,A)),C)),mult(rd(B,A),C)) = mult(mult(A,rd(B,A)),A).  [para(16(a,1),17(a,1,1,2))].
160.77/161.03	47 ld(A,mult(mult(B,A),C)) = mult(ld(A,B),mult(A,C)).  [para(19(a,1),7(a,1,2))].
160.77/161.03	49 rd(mult(mult(A,B),C),mult(ld(B,A),mult(B,C))) = B.  [para(19(a,1),9(a,1,1))].
160.77/161.03	50 mult(mult(A,B),ld(B,C)) = mult(B,mult(ld(B,A),C)).  [para(10(a,1),19(a,1,2,2)),flip(a)].
160.77/161.03	51 mult(A,mult(mult(ld(A,B),mult(A,C)),mult(A,D))) = mult(mult(mult(mult(B,A),C),A),D).  [para(19(a,1),11(a,1,1,1)),flip(a)].
160.77/161.03	55 rd(mult(ld(A,B),mult(mult(B,A),C)),mult(A,C)) = mult(A,mult(ld(A,ld(A,B)),B)).  [para(19(a,1),17(a,1,1,2)),rewrite([50(10)])].
160.77/161.03	62 ld(mult(A,B),mult(B,mult(ld(B,A),C))) = ld(B,C).  [para(10(a,1),24(a,1,1,1))].
160.77/161.03	69 ld(mult(A,rd(B,mult(A,C))),rd(mult(A,B),C)) = A.  [para(29(a,1),7(a,1,2))].
160.77/161.03	71 rd(rd(mult(A,B),C),A) = mult(A,rd(B,mult(A,C))).  [para(29(a,1),9(a,1,1))].
160.77/161.03	72 rd(mult(A,B),ld(A,C)) = mult(mult(A,rd(B,C)),A).  [para(10(a,1),29(a,1,1,2,2)),flip(a)].
160.77/161.03	82 mult(A,ld(mult(mult(A,B),A),C)) = ld(B,ld(A,C)).  [para(33(a,1),7(a,1,2)),flip(a)].
160.77/161.03	84 mult(ld(A,B),mult(A,ld(mult(B,A),C))) = ld(A,C).  [para(10(a,1),33(a,1,2,2,1,1))].
160.77/161.03	95 mult(rd(A,mult(B,mult(C,mult(B,mult(B,C))))),mult(mult(B,C),mult(B,mult(mult(B,C),mult(rd(A,mult(B,mult(C,mult(B,mult(B,C))))),D))))) = mult(mult(A,rd(A,mult(B,mult(C,mult(B,mult(B,C)))))),D).  [para(21(a,1),16(a,1,2))].
160.77/161.03	103 rd(mult(mult(A,rd(A,B)),mult(C,mult(rd(A,B),mult(B,A)))),B) = mult(mult(mult(A,rd(A,B)),C),mult(A,rd(A,B))).  [para(39(a,1),17(a,1,1,2,2))].
160.77/161.03	105 mult(mult(A,rd(A,B)),mult(ld(mult(A,rd(A,B)),C),mult(rd(A,B),mult(B,A)))) = mult(mult(C,mult(A,rd(A,B))),B).  [para(39(a,1),19(a,1,2,2))].
160.77/161.03	109 mult(ld(A,rd(B,A)),mult(A,C)) = ld(A,mult(B,C)).  [para(8(a,1),47(a,1,2,1)),flip(a)].
160.77/161.03	132 mult(A,mult(ld(A,rd(B,A)),C)) = mult(B,ld(A,C)).  [para(8(a,1),50(a,1,1)),flip(a)].
160.77/161.03	160 ld(mult(A,B),mult(B,C)) = ld(B,ld(ld(B,A),C)).  [para(10(a,1),62(a,1,2,2))].
160.77/161.03	170 ld(mult(A,rd(B,mult(A,B))),A) = A.  [para(9(a,1),69(a,1,2))].
160.77/161.03	187 ld(mult(A,rd(ld(A,B),B)),A) = A.  [para(10(a,1),170(a,1,1,2,2))].
160.77/161.03	189 mult(A,rd(B,mult(A,B))) = rd(A,A).  [para(170(a,1),14(a,1,2)),flip(a)].
160.77/161.03	198 mult(A,rd(ld(A,B),B)) = rd(A,A).  [para(187(a,1),14(a,1,2)),flip(a)].
160.77/161.03	221 rd(A,mult(B,A)) = ld(B,rd(B,B)).  [para(189(a,1),7(a,1,2)),flip(a)].
160.77/161.03	222 rd(rd(A,B),rd(A,B)) = mult(rd(A,B),rd(B,A)).  [para(8(a,1),189(a,1,2,2)),flip(a)].
160.77/161.03	227 mult(ld(A,rd(A,A)),mult(mult(A,A),mult(ld(A,rd(A,A)),B))) = mult(rd(A,A),B).  [para(189(a,1),16(a,2,1)),rewrite([221(2),221(5)])].
160.77/161.03	246 rd(ld(A,B),B) = ld(A,rd(A,A)).  [para(198(a,1),7(a,1,2)),flip(a)].
160.77/161.03	265 ld(ld(A,rd(A,A)),B) = mult(A,B).  [para(221(a,1),13(a,1,1))].
160.77/161.03	275 mult(rd(A,mult(B,A)),mult(B,C)) = C.  [para(221(a,2),47(a,2,1)),rewrite([8(2),7(2)]),flip(a)].
160.77/161.03	278 rd(mult(ld(A,rd(A,A)),mult(B,C)),mult(A,C)) = mult(mult(rd(C,mult(A,C)),B),rd(C,mult(A,C))).  [para(221(a,1),28(a,1,1,1))].
160.77/161.03	279 mult(mult(rd(A,mult(B,A)),C),rd(A,mult(B,A))) = mult(mult(ld(B,rd(B,B)),C),rd(A,mult(B,A))).  [para(221(a,1),28(a,2,1,1)),rewrite([28(6)])].
160.77/161.03	283 rd(rd(ld(A,B),B),rd(A,A)) = ld(A,rd(A,A)).  [para(198(a,1),221(a,1,2))].
160.77/161.03	284 rd(A,mult(B,A)) = rd(C,mult(B,C)).  [para(221(a,2),221(a,2))].
160.77/161.03	304 mult(ld(A,rd(A,A)),B) = ld(A,B).  [para(246(a,1),8(a,1,1))].
160.77/161.03	310 mult(rd(ld(A,B),B),mult(A,C)) = C.  [para(246(a,2),47(a,2,1)),rewrite([8(2),7(2)]),flip(a)].
160.77/161.03	317 rd(ld(A,B),B) = rd(ld(A,C),C).  [para(246(a,2),246(a,2))].
160.77/161.03	318 mult(mult(rd(A,mult(B,A)),C),rd(A,mult(B,A))) = mult(ld(B,C),rd(A,mult(B,A))).  [back_rewrite(279),rewrite([304(9)])].
160.77/161.03	319 rd(ld(A,mult(B,C)),mult(A,C)) = mult(ld(A,B),rd(C,mult(A,C))).  [back_rewrite(278),rewrite([304(4),318(10)])].
160.77/161.03	324 mult(rd(A,A),B) = mult(ld(A,A),B).  [back_rewrite(227),rewrite([304(6),50(5),304(6),7(4)]),flip(a)].
160.77/161.03	337 ld(A,mult(mult(A,B),ld(A,C))) = mult(mult(B,ld(A,rd(A,A))),C).  [para(265(a,1),19(a,1,2,1)),rewrite([304(6),304(6)])].
160.77/161.03	342 ld(rd(A,mult(B,A)),C) = mult(B,C).  [para(221(a,2),265(a,1,1))].
160.77/161.03	348 mult(rd(A,B),mult(rd(B,A),C)) = C.  [para(8(a,1),275(a,1,1,2))].
160.77/161.03	350 mult(rd(A,mult(B,A)),C) = ld(B,C).  [para(10(a,1),275(a,1,2))].
160.77/161.03	355 mult(ld(A,A),A) = A.  [para(275(a,1),17(a,1,1,2)),rewrite([9(2),189(3),324(2)]),flip(a)].
160.77/161.03	356 mult(A,rd(B,mult(C,B))) = mult(A,ld(C,rd(C,C))).  [para(275(a,1),17(a,2,1)),rewrite([350(6),350(6),337(4),9(5)]),flip(a)].
160.77/161.03	359 mult(ld(A,rd(B,C)),rd(D,mult(A,D))) = rd(ld(A,B),mult(A,C)).  [para(275(a,1),29(a,1,1,2,2)),rewrite([350(4),350(8)])].
160.77/161.03	363 mult(ld(A,A),ld(A,mult(ld(A,A),B))) = mult(ld(A,ld(A,A)),B).  [para(275(a,1),21(a,1,1)),rewrite([350(5),350(4),350(6),350(9),350(9)]),flip(a)].
160.77/161.03	392 ld(ld(A,A),A) = A.  [para(355(a,1),7(a,1,2))].
160.77/161.03	393 rd(A,A) = ld(A,A).  [para(355(a,1),9(a,1,1))].
160.77/161.03	395 mult(mult(A,ld(mult(A,B),mult(A,B))),A) = rd(mult(A,mult(A,B)),B).  [para(355(a,1),17(a,1,1,2)),flip(a)].
160.77/161.03	397 mult(mult(ld(A,A),rd(B,A)),ld(A,A)) = rd(mult(ld(A,A),B),A).  [para(355(a,1),29(a,1,1,2,2))].
160.77/161.03	414 mult(A,rd(B,mult(C,B))) = mult(A,ld(C,ld(C,C))).  [back_rewrite(356),rewrite([393(4)])].
160.77/161.03	425 mult(ld(A,ld(A,A)),B) = ld(A,B).  [back_rewrite(304),rewrite([393(1)])].
160.77/161.03	432 rd(rd(ld(A,B),B),ld(A,A)) = ld(A,ld(A,A)).  [back_rewrite(283),rewrite([393(3),393(5)])].
160.77/161.03	439 ld(ld(A,ld(A,A)),B) = mult(A,B).  [back_rewrite(265),rewrite([393(1)])].
160.77/161.03	453 rd(ld(A,B),B) = ld(A,ld(A,A)).  [back_rewrite(246),rewrite([393(3)])].
160.77/161.03	469 ld(rd(A,B),rd(A,B)) = mult(rd(A,B),rd(B,A)).  [back_rewrite(222),rewrite([393(3)])].
160.77/161.03	470 rd(A,mult(B,A)) = ld(B,ld(B,B)).  [back_rewrite(221),rewrite([393(3)])].
160.77/161.03	471 mult(A,rd(ld(A,B),B)) = ld(A,A).  [back_rewrite(198),rewrite([393(4)])].
160.77/161.03	472 mult(A,rd(B,mult(A,B))) = ld(A,A).  [back_rewrite(189),rewrite([393(4)])].
160.77/161.03	473 mult(ld(A,A),ld(A,mult(ld(A,A),B))) = ld(A,B).  [back_rewrite(363),rewrite([425(8)])].
160.77/161.03	475 rd(mult(A,B),mult(A,mult(ld(A,A),B))) = ld(A,A).  [para(392(a,1),49(a,1,2,1)),rewrite([10(2)])].
160.77/161.03	476 mult(ld(A,A),mult(A,B)) = mult(A,ld(ld(A,A),B)).  [para(392(a,1),50(a,2,2,1)),rewrite([10(2)]),flip(a)].
160.77/161.03	480 rd(A,mult(rd(B,C),A)) = rd(C,B).  [para(8(a,1),284(a,1,2)),flip(a)].
160.77/161.03	487 rd(A,mult(ld(B,B),A)) = ld(B,B).  [para(355(a,1),284(a,1,2)),rewrite([393(1)]),flip(a)].
160.77/161.03	517 mult(rd(ld(A,B),B),C) = ld(A,C).  [para(10(a,1),310(a,1,2))].
160.77/161.03	521 mult(ld(A,B),rd(ld(A,C),C)) = mult(ld(A,B),rd(D,mult(A,D))).  [para(310(a,1),17(a,1,1,2,2)),rewrite([517(4),319(4),517(7)]),flip(a)].
160.77/161.03	539 mult(ld(A,A),mult(ld(A,A),B)) = B.  [para(392(a,1),310(a,1,1,1)),rewrite([393(1)])].
160.77/161.03	559 ld(rd(A,B),C) = mult(rd(B,A),C).  [para(8(a,1),342(a,1,1,2))].
160.77/161.03	561 ld(ld(A,A),B) = mult(ld(A,A),B).  [para(355(a,1),342(a,1,1,2)),rewrite([393(1)])].
160.77/161.03	564 mult(rd(A,B),rd(B,A)) = mult(rd(B,A),rd(A,B)).  [back_rewrite(469),rewrite([559(3)])].
160.77/161.03	574 mult(ld(A,A),mult(A,B)) = mult(A,mult(ld(A,A),B)).  [back_rewrite(476),rewrite([561(5)])].
160.77/161.03	616 rd(mult(rd(A,B),C),mult(rd(B,A),D)) = mult(mult(rd(A,B),rd(C,D)),rd(A,B)).  [para(348(a,1),29(a,1,1,2,2)),flip(a)].
160.77/161.03	702 mult(rd(A,B),mult(rd(A,B),rd(B,A))) = rd(A,B).  [para(8(a,1),470(a,1,2)),rewrite([559(5),559(6)]),flip(a)].
160.77/161.03	717 rd(mult(A,mult(A,B)),mult(ld(A,A),B)) = mult(A,A).  [para(39(a,1),45(a,2)),rewrite([393(1),10(2),393(3),393(6),574(8),355(7)])].
160.77/161.03	726 rd(ld(A,mult(mult(B,rd(B,rd(C,mult(A,C)))),D)),mult(rd(B,rd(C,mult(A,C))),D)) = rd(ld(A,B),ld(A,A)).  [para(350(a,1),45(a,1,1)),rewrite([350(17),359(18),472(15)])].
160.77/161.03	745 rd(mult(mult(A,A),mult(ld(A,A),B)),ld(A,B)) = mult(mult(A,mult(ld(A,A),ld(A,A))),mult(A,A)).  [para(472(a,1),45(a,1,1,2,1)),rewrite([470(6),425(7),470(9),50(10)])].
160.77/161.03	814 mult(mult(A,ld(B,B)),mult(ld(B,B),C)) = mult(ld(B,B),mult(mult(ld(B,B),A),C)).  [para(539(a,1),19(a,1,2,2)),rewrite([561(3)]),flip(a)].
160.77/161.03	815 mult(mult(ld(A,A),B),mult(ld(A,A),C)) = mult(ld(A,A),mult(mult(B,ld(A,A)),C)).  [para(19(a,1),539(a,1,2)),rewrite([561(7)]),flip(a)].
160.77/161.03	823 ld(mult(mult(rd(A,B),C),rd(A,B)),D) = mult(rd(B,mult(rd(A,B),mult(C,A))),D).  [para(28(a,1),559(a,1,1))].
160.77/161.03	875 mult(rd(A,B),rd(B,mult(rd(A,B),C))) = rd(rd(A,C),rd(A,B)).  [para(8(a,1),71(a,1,1,1)),flip(a)].
160.77/161.03	878 mult(A,rd(B,mult(A,ld(C,mult(A,B))))) = rd(C,A).  [para(14(a,1),71(a,1,1)),flip(a)].
160.77/161.03	915 mult(mult(A,rd(ld(A,B),C)),A) = rd(B,ld(A,C)).  [para(10(a,1),72(a,1,1)),flip(a)].
160.77/161.03	950 ld(mult(mult(A,B),A),C) = ld(A,ld(B,ld(A,C))).  [para(82(a,1),7(a,1,2)),flip(a)].
160.77/161.03	952 ld(ld(A,B),ld(A,C)) = mult(A,ld(mult(B,A),C)).  [para(10(a,1),82(a,1,2,1,1)),flip(a)].
160.77/161.03	961 mult(ld(A,A),ld(A,B)) = mult(A,ld(mult(A,A),B)).  [para(39(a,1),82(a,1,2,1)),rewrite([393(1),574(3),355(2),393(4),561(6)]),flip(a)].
160.77/161.03	965 ld(A,mult(ld(A,A),B)) = mult(A,ld(mult(A,A),B)).  [para(355(a,1),82(a,1,2,1,1)),rewrite([10(3),961(3),561(5)]),flip(a)].
160.77/161.03	976 ld(mult(ld(A,A),B),mult(ld(A,A),C)) = mult(ld(A,A),ld(mult(B,ld(A,A)),C)).  [para(539(a,1),82(a,1,2,1,1)),rewrite([561(9)]),flip(a)].
160.77/161.03	981 mult(rd(A,mult(rd(B,A),mult(C,B))),D) = mult(rd(A,B),ld(C,mult(rd(A,B),D))).  [back_rewrite(823),rewrite([950(5),559(3),559(5)]),flip(a)].
160.77/161.03	997 rd(mult(mult(A,A),mult(ld(A,A),B)),ld(A,B)) = mult(mult(A,mult(A,ld(mult(A,A),A))),mult(A,A)).  [back_rewrite(745),rewrite([961(9)])].
160.77/161.03	998 mult(A,mult(ld(A,A),ld(mult(A,A),B))) = ld(A,B).  [back_rewrite(473),rewrite([965(4),574(5)])].
160.77/161.03	1070 rd(mult(mult(A,A),mult(ld(A,A),B)),ld(A,B)) = ld(A,mult(mult(A,mult(A,A)),A)).  [para(471(a,1),55(a,1,1,2,1)),rewrite([559(3),14(2),517(7),559(13),14(12),559(12),14(10),517(12)])].
160.77/161.03	1085 mult(mult(A,mult(A,ld(mult(A,A),A))),mult(A,A)) = ld(A,mult(mult(A,mult(A,A)),A)).  [back_rewrite(997),rewrite([1070(6)]),flip(a)].
160.77/161.03	1088 mult(ld(A,B),rd(C,mult(A,C))) = ld(A,rd(B,A)).  [para(109(a,1),9(a,1,1)),rewrite([319(4)])].
160.77/161.03	1089 ld(A,mult(B,ld(A,C))) = mult(ld(A,rd(B,A)),C).  [para(10(a,1),109(a,1,2)),flip(a)].
160.77/161.03	1150 mult(ld(A,B),rd(ld(A,C),C)) = ld(A,rd(B,A)).  [back_rewrite(521),rewrite([1088(8)])].
160.77/161.03	1152 rd(ld(A,B),mult(A,C)) = ld(A,rd(rd(B,C),A)).  [back_rewrite(359),rewrite([1088(5)]),flip(a)].
160.77/161.03	1187 rd(mult(A,ld(B,C)),mult(ld(B,rd(A,B)),C)) = B.  [para(132(a,1),9(a,1,1))].
160.77/161.03	1259 ld(ld(mult(A,A),ld(A,A)),B) = mult(mult(A,A),B).  [para(160(a,1),439(a,1,1,2)),rewrite([561(3),355(3)])].
160.77/161.03	1266 rd(A,mult(mult(B,B),A)) = ld(mult(B,B),ld(B,B)).  [para(160(a,1),470(a,2,2)),rewrite([561(6),355(6)])].
160.77/161.03	1296 mult(f1(ld(A,ld(A,A))),rd(B,mult(A,B))) != f1(ld(A,ld(A,A))) | ld(A,f1(ld(A,ld(A,A)))) != f1(ld(A,ld(A,A))) # answer(goals).  [para(414(a,2),12(a,1)),rewrite([425(16)])].
160.77/161.03	1298 mult(ld(A,B),ld(A,ld(A,A))) = ld(A,rd(B,A)).  [para(414(a,1),17(a,2)),rewrite([350(5),350(5),1089(3),9(4),350(5)]),flip(a)].
160.77/161.03	1342 ld(A,rd(rd(B,rd(C,mult(A,C))),A)) = rd(ld(A,B),ld(A,A)).  [para(414(a,1),45(a,2)),rewrite([350(8),726(11),350(9),1298(10)]),flip(a)].
160.77/161.03	1443 mult(f1(ld(A,ld(A,A))),rd(ld(A,B),B)) != f1(ld(A,ld(A,A))) | ld(A,f1(ld(A,ld(A,A)))) != f1(ld(A,ld(A,A))) # answer(goals).  [para(10(a,1),1296(a,1,2,2))].
160.77/161.03	1472 mult(ld(A,ld(A,ld(A,A))),B) = ld(mult(A,A),B).  [para(432(a,1),16(a,1,1)),rewrite([432(7),425(6),961(5),425(6),7(4),432(8),517(7)]),flip(a)].
160.77/161.03	1473 ld(mult(A,A),ld(A,A)) = ld(A,ld(A,ld(A,A))).  [para(432(a,1),39(a,1,1,2)),rewrite([517(5),1472(5),432(7),1150(9),393(6),1298(8),453(5)])].
160.77/161.03	1484 rd(A,mult(mult(B,B),A)) = ld(B,ld(B,ld(B,B))).  [back_rewrite(1266),rewrite([1473(6)])].
160.77/161.03	1486 ld(ld(A,ld(A,ld(A,A))),B) = mult(mult(A,A),B).  [back_rewrite(1259),rewrite([1473(3)])].
160.77/161.03	1518 mult(A,ld(mult(A,A),A)) = ld(A,A).  [para(471(a,1),475(a,1,1)),rewrite([1150(5),393(2),10(4),393(3),561(3),961(3)])].
160.77/161.03	1530 rd(mult(mult(A,A),B),mult(mult(A,A),mult(ld(A,A),B))) = ld(A,A).  [para(160(a,1),475(a,1,2,2,1)),rewrite([561(5),355(5),160(10),561(9),355(9)])].
160.77/161.03	1534 ld(A,mult(mult(A,mult(A,A)),A)) = mult(A,mult(A,A)).  [back_rewrite(1085),rewrite([1518(3),10(2)]),flip(a)].
160.77/161.03	1535 rd(mult(mult(A,A),mult(ld(A,A),B)),ld(A,B)) = mult(A,mult(A,A)).  [back_rewrite(1070),rewrite([1534(10)])].
160.77/161.03	1536 ld(mult(A,A),A) = ld(A,ld(A,A)).  [para(1518(a,1),7(a,1,2)),flip(a)].
160.77/161.03	1782 rd(A,ld(A,ld(A,A))) = mult(A,A).  [para(1536(a,1),14(a,1,2))].
160.77/161.03	1795 mult(A,mult(ld(A,A),ld(mult(A,mult(A,A)),B))) = ld(mult(A,A),B).  [para(1536(a,1),84(a,1,1)),rewrite([425(8),47(6),574(6)])].
160.77/161.03	1797 mult(mult(A,A),rd(B,mult(A,B))) = A.  [para(414(a,1),1536(a,1,1)),rewrite([350(5),1486(6),559(11),9(8),472(9),559(8),9(6),10(6)])].
160.77/161.03	1813 mult(mult(A,mult(A,A)),A) = mult(mult(A,A),mult(A,A)).  [para(160(a,1),1782(a,1,2,2)),rewrite([561(4),355(4),1473(4),72(5),1782(3)])].
160.77/161.03	1818 mult(mult(A,A),rd(ld(A,B),B)) = A.  [para(10(a,1),1797(a,1,2,2))].
160.77/161.03	1840 mult(A,mult(A,mult(ld(A,A),B))) = mult(mult(A,A),B).  [para(1797(a,1),51(a,2,1,1)),rewrite([472(4),961(3),1536(2),10(3),574(3)])].
160.77/161.03	1970 f1(ld(A,ld(A,A))) != mult(f1(rd(ld(A,B),B)),rd(ld(A,C),C)) | ld(A,f1(ld(A,ld(A,A)))) != f1(ld(A,ld(A,A))) # answer(goals).  [para(453(a,2),1443(a,1,1,1)),flip(a)].
160.77/161.03	2171 mult(rd(A,B),ld(C,mult(rd(A,B),mult(mult(rd(B,A),C),rd(B,A))))) = mult(rd(B,A),mult(C,rd(rd(B,mult(C,B)),rd(B,A)))).  [para(28(a,1),564(a,1,1)),rewrite([11(9),875(7),28(15),981(16)]),flip(a)].
160.77/161.03	2394 mult(A,mult(A,ld(mult(A,A),B))) = mult(ld(A,A),B).  [para(10(a,1),574(a,1,2)),rewrite([961(5)]),flip(a)].
160.77/161.03	2404 mult(mult(A,mult(A,A)),B) = mult(A,mult(A,mult(A,B))).  [para(574(a,1),21(a,1,1,2)),rewrite([10(3),355(2),10(5),10(5)])].
160.77/161.03	2453 mult(mult(A,A),mult(A,A)) = mult(A,mult(A,mult(A,A))).  [back_rewrite(1813),rewrite([2404(3)]),flip(a)].
160.77/161.03	2486 mult(rd(A,B),mult(C,mult(rd(A,B),mult(rd(A,B),mult(C,rd(rd(A,mult(C,A)),rd(A,B))))))) = mult(mult(rd(A,B),C),rd(A,B)).  [para(28(a,1),702(a,1,1)),rewrite([28(8),11(13),875(11),11(12),28(16)])].
160.77/161.03	2504 mult(mult(A,A),mult(ld(A,A),B)) = mult(A,mult(A,B)).  [para(717(a,1),8(a,1,1))].
160.77/161.03	2526 rd(ld(A,ld(A,B)),mult(ld(A,A),B)) = ld(A,ld(A,ld(A,A))).  [para(425(a,1),717(a,1,1,2)),rewrite([425(4),952(7),355(4),10(5),1298(10),453(7)])].
160.77/161.03	2555 mult(mult(A,A),A) = mult(A,mult(A,A)).  [back_rewrite(1535),rewrite([2504(4),72(4),9(2)])].
160.77/161.03	2556 rd(mult(mult(A,A),B),mult(A,mult(A,B))) = ld(A,A).  [back_rewrite(1530),rewrite([2504(6)])].
160.77/161.03	2931 rd(A,mult(B,ld(C,mult(B,A)))) = ld(B,rd(C,B)).  [para(878(a,1),7(a,1,2)),flip(a)].
160.77/161.03	2938 mult(rd(A,B),mult(mult(rd(B,A),C),rd(B,A))) = rd(C,rd(A,B)).  [para(348(a,1),878(a,1,2,2,2,2)),rewrite([616(7),14(4)])].
160.77/161.03	2939 rd(A,rd(B,mult(C,B))) = ld(C,rd(D,ld(C,ld(A,ld(C,D))))).  [para(878(a,1),350(a,1)),rewrite([350(8),350(8)])].
160.77/161.03	2940 ld(A,rd(B,ld(A,ld(C,ld(A,B))))) = rd(C,ld(A,ld(A,A))).  [para(878(a,1),425(a,1)),rewrite([425(8),425(8)]),flip(a)].
160.77/161.03	2961 mult(rd(A,B),mult(C,rd(rd(A,mult(C,A)),rd(A,B)))) = mult(rd(B,A),ld(C,rd(C,rd(B,A)))).  [back_rewrite(2171),rewrite([2938(7)]),flip(a)].
160.77/161.03	2962 rd(A,rd(B,mult(C,B))) = rd(A,ld(C,ld(C,C))).  [back_rewrite(2939),rewrite([2940(8)])].
160.77/161.03	2967 mult(mult(rd(A,B),C),rd(A,B)) = mult(rd(A,B),rd(C,rd(B,A))).  [back_rewrite(2486),rewrite([2961(9),348(8),10(5)]),flip(a)].
160.77/161.03	3098 rd(mult(rd(A,B),mult(C,A)),B) = mult(rd(A,B),rd(C,rd(B,A))).  [back_rewrite(28),rewrite([2967(8)])].
160.77/161.03	3122 rd(rd(A,ld(B,C)),B) = mult(B,rd(ld(B,A),C)).  [para(915(a,1),9(a,1,1))].
160.77/161.03	3126 rd(A,ld(B,ld(C,ld(B,A)))) = mult(mult(B,C),B).  [para(14(a,1),915(a,1,1,2)),flip(a)].
160.77/161.03	3186 rd(A,ld(B,ld(B,B))) = ld(B,mult(mult(B,A),B)).  [back_rewrite(2940),rewrite([3126(4)]),flip(a)].
160.77/161.03	3203 rd(A,rd(B,mult(C,B))) = ld(C,mult(mult(C,A),C)).  [back_rewrite(2962),rewrite([3186(6)])].
160.77/161.03	3262 ld(mult(A,mult(A,A)),B) = ld(A,ld(A,ld(A,B))).  [para(2555(a,1),950(a,1,1))].
160.77/161.03	3306 mult(A,ld(mult(A,A),ld(A,B))) = ld(mult(A,A),B).  [back_rewrite(1795),rewrite([3262(4),961(5),2394(6),961(4)])].
160.77/161.03	3663 mult(mult(A,A),ld(mult(A,mult(A,mult(A,A))),B)) = mult(ld(A,A),ld(mult(A,A),B)).  [para(160(a,1),961(a,1,1)),rewrite([561(2),355(2),2453(8)]),flip(a)].
160.77/161.03	3689 ld(mult(A,A),mult(ld(A,A),B)) = mult(ld(A,A),ld(mult(A,A),B)).  [para(160(a,1),965(a,1,2,1)),rewrite([561(3),355(3),2453(8),3663(10)])].
160.77/161.03	4097 mult(ld(A,A),ld(mult(A,A),B)) = ld(A,ld(A,B)).  [para(998(a,1),7(a,1,2)),flip(a)].
160.77/161.03	4116 ld(mult(A,A),mult(ld(A,A),B)) = ld(A,ld(A,B)).  [back_rewrite(3689),rewrite([4097(8)])].
160.77/161.03	4134 mult(mult(ld(A,A),B),ld(A,A)) = mult(ld(A,A),rd(B,ld(A,A))).  [para(355(a,1),1088(a,1,2,2)),rewrite([561(2),393(3),561(8)])].
160.77/161.03	4139 mult(A,rd(B,rd(C,mult(A,C)))) = mult(mult(A,B),A).  [para(350(a,1),1088(a,1,2,2)),rewrite([559(3),9(2),14(3),559(8),9(4)]),flip(a)].
160.77/161.03	4242 mult(ld(A,A),rd(rd(B,A),ld(A,A))) = rd(mult(ld(A,A),B),A).  [back_rewrite(397),rewrite([4134(5)])].
160.77/161.03	4455 f1(ld(A,ld(A,A))) != mult(f1(rd(ld(A,B),B)),rd(ld(A,C),C)) | f1(ld(A,ld(A,A))) != ld(A,f1(rd(ld(A,D),D))) # answer(goals).  [para(453(a,2),1970(b,1,2,1)),flip(b)].
160.77/161.03	5558 mult(A,ld(mult(B,A),rd(B,A))) = ld(A,ld(A,A)).  [para(1298(a,1),7(a,1,2)),rewrite([952(4)])].
160.77/161.03	5559 ld(A,rd(mult(A,B),A)) = mult(B,ld(A,ld(A,A))).  [para(7(a,1),1298(a,1,1)),flip(a)].
160.77/161.03	5586 mult(A,ld(B,ld(B,ld(B,B)))) = rd(rd(A,B),B).  [para(1298(a,1),132(a,1,2)),rewrite([10(4)]),flip(a)].
160.77/161.03	6454 ld(mult(A,A),mult(mult(mult(A,A),B),C)) = mult(rd(rd(B,A),A),mult(mult(A,A),C)).  [para(1472(a,1),50(a,2)),rewrite([5586(4),1486(6),1486(10)]),flip(a)].
160.77/161.03	6522 rd(A,rd(B,mult(mult(C,C),B))) = mult(mult(A,C),C).  [para(1484(a,2),915(a,2,2)),rewrite([3186(4),10(2),10(3)]),flip(a)].
160.77/161.03	7227 mult(ld(A,A),mult(mult(ld(A,A),B),mult(mult(B,ld(A,A)),C))) = mult(mult(mult(B,B),ld(A,A)),C).  [para(487(a,1),95(a,1,1)),rewrite([539(10),539(12),487(11),815(9),539(10),539(12),539(13),539(15),487(14)])].
160.77/161.03	7707 mult(mult(A,A),mult(A,B)) = mult(A,mult(mult(A,A),B)).  [para(19(a,1),1840(a,1,2)),flip(a)].
160.77/161.03	7731 rd(mult(A,mult(mult(A,A),B)),mult(A,B)) = mult(A,A).  [para(1840(a,1),717(a,1,1,2)),rewrite([574(8),539(7)])].
160.77/161.03	8842 rd(mult(ld(A,A),B),ld(A,ld(A,B))) = mult(A,A).  [para(2394(a,1),717(a,1,1)),rewrite([4097(6)])].
160.77/161.03	9394 rd(mult(mult(mult(A,A),B),ld(mult(A,mult(A,B)),C)),mult(ld(mult(A,mult(A,B)),ld(A,A)),C)) = mult(A,mult(A,B)).  [para(2556(a,1),1187(a,1,2,1,2))].
160.77/161.03	9644 rd(A,mult(ld(A,A),ld(B,A))) = mult(ld(A,A),rd(B,ld(A,A))).  [para(355(a,1),2931(a,1,2,2,2)),rewrite([561(8)])].
160.77/161.03	9648 rd(A,mult(B,mult(ld(C,C),mult(B,A)))) = ld(B,rd(ld(C,C),B)).  [para(561(a,1),2931(a,1,2,2))].
160.77/161.03	9669 rd(ld(A,B),mult(ld(A,A),ld(C,mult(A,ld(mult(A,A),B))))) = mult(ld(A,A),rd(C,ld(A,A))).  [para(961(a,1),2931(a,1,2,2,2)),rewrite([561(12)])].
160.77/161.03	9711 rd(rd(A,mult(ld(B,B),C)),ld(B,B)) = mult(ld(B,B),rd(mult(ld(B,B),A),C)).  [para(561(a,1),3122(a,1,1,2)),rewrite([561(8)])].
160.77/161.03	9715 mult(mult(A,A),rd(ld(mult(A,A),B),A)) = mult(B,ld(A,ld(A,A))).  [para(1536(a,1),3122(a,1,1,2)),rewrite([3186(3),1152(5),9(3),5559(3)]),flip(a)].
160.77/161.03	9762 mult(mult(A,ld(mult(A,A),B)),ld(A,A)) = mult(ld(A,A),rd(ld(A,B),ld(A,A))).  [para(961(a,1),3126(a,2,1)),rewrite([561(4),561(6),2931(7),561(5)]),flip(a)].
160.77/161.03	9792 mult(rd(A,B),rd(B,rd(B,A))) = mult(A,rd(A,B)).  [para(471(a,1),103(a,2,1)),rewrite([517(10),160(8),559(5),8(5),7(5),559(4),8(4),39(3),3098(4),355(12)])].
160.77/161.03	10062 mult(rd(rd(A,B),B),mult(B,mult(B,mult(B,B)))) = rd(A,ld(B,ld(B,ld(B,B)))).  [para(160(a,1),3186(a,1,2,2)),rewrite([561(3),355(3),1473(3),6454(10),7707(9),2555(8)]),flip(a)].
160.77/161.03	10278 rd(A,ld(B,ld(B,ld(B,B)))) = mult(mult(A,B),B).  [para(3203(a,2),1472(a,2)),rewrite([1472(8),6454(6),7707(5),2555(4),10062(6),6522(8)])].
160.77/161.03	10776 ld(mult(A,A),ld(A,B)) = ld(A,ld(mult(A,A),B)).  [para(3306(a,1),7(a,1,2)),flip(a)].
160.77/161.03	10817 mult(mult(A,A),mult(ld(mult(A,A),B),mult(A,A))) = mult(mult(B,mult(A,A)),ld(A,A)).  [para(355(a,1),105(a,1,2,2,2)),rewrite([14(2),14(3),14(5),14(8)])].
160.77/161.03	12014 mult(mult(A,A),mult(mult(mult(ld(A,A),B),A),A)) = mult(mult(A,mult(A,B)),mult(A,A)).  [para(2504(a,1),4139(a,2,1)),rewrite([6522(7)])].
160.77/161.03	12986 ld(mult(A,B),rd(A,B)) = ld(B,ld(B,ld(B,B))).  [para(5558(a,1),7(a,1,2)),flip(a)].
160.77/161.03	13311 mult(mult(A,A),mult(mult(ld(mult(A,A),B),A),A)) = mult(B,mult(A,A)).  [para(1472(a,1),5559(a,1,2,1)),rewrite([10278(9),1486(8),952(16),425(12),561(13),961(13),10776(12),1536(11),10(13),10(12),952(11),425(9),561(8),355(8)])].
160.77/161.03	13337 rd(rd(ld(A,ld(A,A)),B),B) = ld(A,ld(B,ld(B,ld(B,B)))).  [para(5586(a,1),425(a,1))].
160.77/161.03	13889 rd(rd(A,mult(mult(B,B),A)),C) = rd(D,mult(mult(mult(C,B),B),D)).  [para(6522(a,1),480(a,1,2,1)),flip(a)].
160.77/161.03	13892 mult(rd(rd(A,mult(mult(B,B),A)),C),D) = ld(mult(mult(C,B),B),D).  [para(6522(a,1),559(a,1,1)),flip(a)].
160.77/161.03	13903 mult(mult(A,ld(B,B)),ld(B,B)) = rd(A,ld(B,B)).  [para(564(a,1),6522(a,1,2,2,1)),rewrite([393(1),393(2),961(3),1536(2),10(3),487(3),393(3),393(5)]),flip(a)].
160.77/161.03	14071 rd(mult(A,mult(A,mult(A,mult(A,B)))),mult(mult(A,A),B)) = mult(A,A).  [para(1840(a,1),7731(a,1,2)),rewrite([7707(5),2504(4)])].
160.77/161.03	14225 f1(ld(A,ld(A,A))) != mult(f1(rd(ld(A,B),B)),rd(ld(A,C),C)) | f1(rd(ld(A,D),D)) != ld(A,f1(rd(ld(A,E),E))) # answer(goals).  [para(453(a,2),4455(b,1,1))].
160.77/161.03	14296 mult(mult(A,A),mult(mult(ld(A,ld(A,B)),A),A)) = mult(mult(ld(A,A),B),mult(A,A)).  [para(8842(a,1),9792(a,1,1)),rewrite([2526(8),10278(7),8842(13)])].
160.77/161.03	14364 rd(ld(A,B),B) = mult(mult(ld(A,ld(C,ld(C,ld(C,C)))),C),C).  [para(10278(a,1),317(a,1)),flip(a)].
160.77/161.03	14370 mult(mult(mult(ld(A,ld(B,ld(B,ld(B,B)))),B),B),C) = ld(A,C).  [para(10278(a,1),517(a,1,1))].
160.77/161.03	14375 mult(mult(A,A),mult(mult(ld(A,ld(B,ld(B,ld(B,B)))),B),B)) = A.  [para(10278(a,1),1818(a,1,2))].
160.77/161.03	14744 ld(mult(mult(A,B),B),A) = ld(B,ld(B,ld(B,B))).  [para(9(a,1),12986(a,1,2))].
160.77/161.03	15135 mult(ld(mult(A,ld(B,B)),A),ld(B,B)) = ld(A,A).  [para(348(a,1),395(a,2,1)),rewrite([393(1),393(2),393(4),976(6),539(7),393(4),393(6)])].
160.77/161.03	15141 rd(ld(A,A),ld(B,B)) = ld(mult(A,ld(B,B)),A).  [para(15135(a,1),9(a,1,1))].
160.77/161.03	15149 ld(mult(ld(A,A),ld(B,B)),ld(mult(A,ld(B,B)),A)) = ld(B,B).  [para(15135(a,1),14744(a,1,1,1)),rewrite([561(12),961(12),1536(11),10(12),561(11),961(11),1536(10),10(11),561(10),961(10),1536(9),10(10)])].
160.77/161.03	15154 ld(mult(ld(A,A),ld(B,B)),ld(A,A)) = ld(mult(A,ld(B,B)),A).  [para(561(a,1),15141(a,1,1)),rewrite([961(3),1536(2),10(3),15141(3)]),flip(a)].
160.77/161.03	15621 mult(ld(A,A),rd(mult(ld(A,A),B),A)) = rd(rd(B,A),ld(A,A)).  [para(4242(a,1),7(a,1,2)),rewrite([561(5)])].
160.77/161.03	15942 rd(A,mult(mult(ld(B,B),ld(C,C)),A)) = ld(mult(B,ld(C,C)),B).  [para(487(a,1),9648(a,2,2)),rewrite([814(10),7227(10),961(3),1536(2),10(3),15154(10)])].
160.77/161.03	15975 mult(mult(A,A),rd(ld(A,ld(mult(A,A),B)),A)) = ld(A,rd(B,A)).  [para(1298(a,1),9715(a,2)),rewrite([10776(4)])].
160.77/161.03	15980 mult(rd(mult(mult(A,B),B),mult(B,B)),ld(B,ld(B,B))) = rd(A,B).  [para(1342(a,1),9715(a,1,2,1)),rewrite([160(6),561(5),355(5),3122(6),7707(7),15975(6),10(3),6522(5)]),flip(a)].
160.77/161.03	16311 mult(A,mult(mult(B,mult(A,A)),ld(A,A))) = mult(mult(A,B),mult(A,A)).  [para(160(a,1),13311(a,1,2,1,1)),rewrite([561(3),965(4),11(6),7707(7),10817(6)])].
160.77/161.03	16338 rd(ld(A,ld(A,A)),B) = mult(ld(A,ld(B,ld(B,ld(B,B)))),B).  [para(13337(a,1),8(a,1,1)),flip(a)].
160.77/161.03	16396 rd(ld(A,A),ld(mult(B,ld(A,A)),B)) = ld(mult(B,ld(A,A)),B).  [para(15135(a,1),13889(a,2,2,1,1)),rewrite([961(3),1536(2),10(3),487(3),15942(10)])].
160.77/161.03	16398 ld(mult(ld(A,A),ld(B,B)),C) = mult(ld(mult(A,ld(B,B)),A),C).  [para(15135(a,1),13892(a,2,1,1)),rewrite([961(3),1536(2),10(3),487(3),16396(5)]),flip(a)].
160.77/161.03	16399 mult(ld(mult(A,ld(B,B)),A),ld(A,A)) = ld(mult(A,ld(B,B)),A).  [back_rewrite(15154),rewrite([16398(5)])].
160.77/161.03	16400 mult(ld(mult(A,ld(B,B)),A),ld(mult(A,ld(B,B)),A)) = ld(B,B).  [back_rewrite(15149),rewrite([16398(7)])].
160.77/161.03	16450 ld(mult(A,ld(B,B)),A) = ld(B,B).  [para(15135(a,1),14071(a,1,1,2,2,2)),rewrite([16399(11),16400(10),15135(5),16400(8),961(4),1536(3),10(4),15141(3),16400(10)])].
160.77/161.03	16453 mult(ld(A,A),ld(B,B)) = ld(A,A).  [back_rewrite(16399),rewrite([16450(3),16450(6)])].
160.77/161.03	16455 ld(A,A) = ld(B,B).  [back_rewrite(15942),rewrite([16453(3),487(3),16450(4)])].
160.77/161.03	16463 ld(A,A) = c_0.  [new_symbol(16455)].
160.77/161.03	16470 mult(c_0,c_0) = c_0.  [back_rewrite(16453),rewrite([16463(1),16463(2),16463(4)])].
160.77/161.03	16537 mult(ld(A,ld(B,ld(B,c_0))),B) = rd(ld(A,c_0),B).  [back_rewrite(16338),rewrite([16463(1),16463(4)]),flip(a)].
160.77/161.03	16552 mult(A,mult(mult(B,mult(A,A)),c_0)) = mult(mult(A,B),mult(A,A)).  [back_rewrite(16311),rewrite([16463(3)])].
160.77/161.03	16741 mult(rd(mult(mult(A,B),B),mult(B,B)),ld(B,c_0)) = rd(A,B).  [back_rewrite(15980),rewrite([16463(5)])].
160.77/161.03	16901 mult(c_0,rd(mult(c_0,A),B)) = rd(rd(A,B),c_0).  [back_rewrite(15621),rewrite([16463(1),16463(2),16463(7)])].
160.77/161.03	17227 mult(A,c_0) = A.  [back_rewrite(14375),rewrite([16463(2),16537(6),8(5),50(4),16463(1),16470(3)])].
160.77/161.03	17230 mult(ld(A,c_0),B) = ld(A,B).  [back_rewrite(14370),rewrite([16463(1),16537(5),8(4)])].
160.77/161.03	17232 rd(ld(A,B),B) = ld(A,c_0).  [back_rewrite(14364),rewrite([16463(3),16537(7),8(6)])].
160.77/161.03	17242 mult(mult(A,A),mult(mult(ld(A,ld(A,B)),A),A)) = mult(mult(c_0,B),mult(A,A)).  [back_rewrite(14296),rewrite([16463(7)])].
160.77/161.03	17253 mult(f1(ld(A,c_0)),ld(A,c_0)) != f1(ld(A,c_0)) | ld(A,f1(ld(A,c_0))) != f1(ld(A,c_0)) # answer(goals).  [back_rewrite(14225),rewrite([16463(1),17232(5),17232(8),17232(12),17232(15)]),flip(a),flip(b)].
160.77/161.03	17266 rd(A,c_0) = A.  [back_rewrite(13903),rewrite([16463(1),17227(2),16463(1),17227(2),16463(1)]),flip(a)].
160.77/161.03	17345 mult(mult(A,A),mult(mult(mult(c_0,B),A),A)) = mult(mult(A,mult(A,B)),mult(A,A)).  [back_rewrite(12014),rewrite([16463(2)])].
160.77/161.03	17420 mult(A,ld(mult(A,A),B)) = mult(c_0,ld(A,B)).  [back_rewrite(9762),rewrite([16463(4),17227(5),16463(4),16463(6),17266(7)])].
160.77/161.03	17424 rd(A,mult(c_0,B)) = rd(A,B).  [back_rewrite(9711),rewrite([16463(1),16463(4),17266(5),16463(4),16463(5),16901(8),17266(6)])].
160.77/161.03	17431 ld(c_0,A) = mult(c_0,A).  [back_rewrite(9669),rewrite([16463(2),17420(5),2931(8),17266(3),16463(3),16463(4),17266(5)])].
160.77/161.03	17435 mult(c_0,A) = A.  [back_rewrite(9644),rewrite([16463(1),17424(4),14(2),16463(1),16463(2),17266(3)]),flip(a)].
160.77/161.03	17445 mult(mult(A,A),B) = mult(A,mult(A,B)).  [back_rewrite(9394),rewrite([16463(9),17230(11),9(10)])].
160.77/161.03	17559 ld(mult(A,A),B) = ld(A,ld(A,B)).  [back_rewrite(4116),rewrite([16463(2),17435(3)])].
160.77/161.03	17856 mult(mult(A,B),mult(A,A)) = mult(A,mult(B,mult(A,A))).  [back_rewrite(16552),rewrite([17227(4)]),flip(a)].
160.77/161.03	17948 mult(A,mult(A,mult(mult(B,A),A))) = mult(A,mult(A,mult(B,mult(A,A)))).  [back_rewrite(17345),rewrite([17435(3),17445(4),17856(8),17856(7)])].
160.77/161.03	17949 mult(A,mult(mult(ld(A,B),A),A)) = mult(B,mult(A,A)).  [back_rewrite(17242),rewrite([17445(6),17948(6),19(5),17435(6)])].
160.77/161.03	17952 mult(mult(A,B),B) = mult(A,mult(B,B)).  [back_rewrite(13311),rewrite([17559(3),17445(6),17949(5),19(4)])].
160.77/161.03	17959 mult(A,ld(B,c_0)) = rd(A,B).  [back_rewrite(16741),rewrite([17952(2),9(4)])].
160.77/161.03	17979 ld(c_0,A) = A.  [back_rewrite(17431),rewrite([17435(4)])].
160.77/161.03	18818 rd(f1(ld(A,c_0)),A) != f1(ld(A,c_0)) | ld(A,f1(ld(A,c_0))) != f1(ld(A,c_0)) # answer(goals).  [back_rewrite(17253),rewrite([17959(6)])].
160.77/161.03	20295 $F # answer(goals).  [para(16463(a,1),18818(a,1,1,1)),rewrite([17266(4),16463(5),16463(9),17979(9),16463(10)]),xx(a),xx(b)].
160.77/161.03	
160.77/161.03	% SZS output end Refutation
160.77/161.03	============================== end of proof ==========================
160.77/161.03	
160.77/161.03	============================== STATISTICS ============================
160.77/161.03	
160.77/161.03	Given=2008. Generated=3716955. Kept=20288. proofs=1.
160.77/161.03	Usable=120. Sos=2125. Demods=2045. Limbo=25, Disabled=18024. Hints=0.
160.77/161.03	Megabytes=28.74.
160.77/161.03	User_CPU=158.43, System_CPU=2.18, Wall_clock=161.
160.77/161.03	
160.77/161.03	============================== end of statistics =====================
160.77/161.03	
160.77/161.03	============================== end of search =========================
160.77/161.03	
160.77/161.03	THEOREM PROVED
160.77/161.03	% SZS status Theorem
160.77/161.03	
160.77/161.03	Exiting with 1 proof.
160.77/161.03	
160.77/161.03	Process 19289 exit (max_proofs) Sat Jul 14 05:30:21 2018
160.77/161.04	Prover9 interrupted
160.85/161.04	EOF