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
0.02/0.23	% Computer   : n165.star.cs.uiowa.edu
0.02/0.23	% Model      : x86_64 x86_64
0.02/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.23	% Memory     : 32218.625MB
0.02/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.23	% CPULimit   : 300
0.02/0.23	% DateTime   : Sat Jul 14 04:47:40 CDT 2018
0.02/0.23	% CPUTime    : 
2.49/2.76	============================== Prover9 ===============================
2.49/2.76	Prover9 (32) version 2009-11A, November 2009.
2.49/2.76	Process 56007 was started by sandbox on n165.star.cs.uiowa.edu,
2.49/2.76	Sat Jul 14 04:47:40 2018
2.49/2.76	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_55975_n165.star.cs.uiowa.edu".
2.49/2.76	============================== end of head ===========================
2.49/2.76	
2.49/2.76	============================== INPUT =================================
2.49/2.76	
2.49/2.76	% Reading from file /tmp/Prover9_55975_n165.star.cs.uiowa.edu
2.49/2.76	
2.49/2.76	set(prolog_style_variables).
2.49/2.76	set(auto2).
2.49/2.76	    % set(auto2) -> set(auto).
2.49/2.76	    % set(auto) -> set(auto_inference).
2.49/2.76	    % set(auto) -> set(auto_setup).
2.49/2.76	    % set(auto_setup) -> set(predicate_elim).
2.49/2.76	    % set(auto_setup) -> assign(eq_defs, unfold).
2.49/2.76	    % set(auto) -> set(auto_limits).
2.49/2.76	    % set(auto_limits) -> assign(max_weight, "100.000").
2.49/2.76	    % set(auto_limits) -> assign(sos_limit, 20000).
2.49/2.76	    % set(auto) -> set(auto_denials).
2.49/2.76	    % set(auto) -> set(auto_process).
2.49/2.76	    % set(auto2) -> assign(new_constants, 1).
2.49/2.76	    % set(auto2) -> assign(fold_denial_max, 3).
2.49/2.76	    % set(auto2) -> assign(max_weight, "200.000").
2.49/2.76	    % set(auto2) -> assign(max_hours, 1).
2.49/2.76	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
2.49/2.76	    % set(auto2) -> assign(max_seconds, 0).
2.49/2.76	    % set(auto2) -> assign(max_minutes, 5).
2.49/2.76	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
2.49/2.76	    % set(auto2) -> set(sort_initial_sos).
2.49/2.76	    % set(auto2) -> assign(sos_limit, -1).
2.49/2.76	    % set(auto2) -> assign(lrs_ticks, 3000).
2.49/2.76	    % set(auto2) -> assign(max_megs, 400).
2.49/2.76	    % set(auto2) -> assign(stats, some).
2.49/2.76	    % set(auto2) -> clear(echo_input).
2.49/2.76	    % set(auto2) -> set(quiet).
2.49/2.76	    % set(auto2) -> clear(print_initial_clauses).
2.49/2.76	    % set(auto2) -> clear(print_given).
2.49/2.76	assign(lrs_ticks,-1).
2.49/2.76	assign(sos_limit,10000).
2.49/2.76	assign(order,kbo).
2.49/2.76	set(lex_order_vars).
2.49/2.76	clear(print_given).
2.49/2.76	
2.49/2.76	% formulas(sos).  % not echoed (6 formulas)
2.49/2.76	
2.49/2.76	============================== end of input ==========================
2.49/2.76	
2.49/2.76	% From the command line: assign(max_seconds, 300).
2.49/2.76	
2.49/2.76	============================== PROCESS NON-CLAUSAL FORMULAS ==========
2.49/2.76	
2.49/2.76	% Formulas that are not ordinary clauses:
2.49/2.76	1 (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].
2.49/2.76	2 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause).  [assumption].
2.49/2.76	3 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause).  [assumption].
2.49/2.76	4 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause).  [assumption].
2.49/2.76	5 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause).  [assumption].
2.49/2.76	6 -(all X0 all X1 (mult(rd(X1,X1),X0) = X0 & X0 = mult(X0,rd(X1,X1)))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
2.49/2.76	
2.49/2.76	============================== end of process non-clausal formulas ===
2.49/2.76	
2.49/2.76	============================== PROCESS INITIAL CLAUSES ===============
2.49/2.76	
2.49/2.76	============================== PREDICATE ELIMINATION =================
2.49/2.76	
2.49/2.76	============================== end predicate elimination =============
2.49/2.76	
2.49/2.76	Auto_denials:
2.49/2.76	  % copying label goals to answer in negative clause
2.49/2.76	
2.49/2.76	Term ordering decisions:
2.49/2.76	Function symbol KB weights:  c1=1. c2=1. mult=1. ld=1. rd=1.
2.49/2.76	
2.49/2.76	============================== end of process initial clauses ========
2.49/2.76	
2.49/2.76	============================== CLAUSES FOR SEARCH ====================
2.49/2.76	
2.49/2.76	============================== end of clauses for search =============
2.49/2.76	
2.49/2.76	============================== SEARCH ================================
2.49/2.76	
2.49/2.76	% Starting search at 0.01 seconds.
2.49/2.76	
2.49/2.76	Low Water (keep): wt=107.000, iters=3377
2.49/2.76	
2.49/2.76	Low Water (keep): wt=95.000, iters=3342
2.49/2.76	
2.49/2.76	Low Water (keep): wt=79.000, iters=3388
2.49/2.76	
2.49/2.76	Low Water (keep): wt=71.000, iters=3336
2.49/2.76	
2.49/2.76	Low Water (keep): wt=63.000, iters=3338
2.49/2.76	
2.49/2.76	Low Water (keep): wt=55.000, iters=3368
2.49/2.76	
2.49/2.76	Low Water (keep): wt=51.000, iters=3400
2.49/2.76	
2.49/2.76	Low Water (keep): wt=47.000, iters=3399
2.49/2.76	
2.49/2.76	Low Water (keep): wt=43.000, iters=3335
2.49/2.76	
2.49/2.76	Low Water (keep): wt=39.000, iters=3338
2.49/2.76	
2.49/2.76	Low Water (keep): wt=35.000, iters=3354
2.49/2.76	
2.49/2.76	Low Water (keep): wt=31.000, iters=3336
21.20/21.43	
21.20/21.43	Low Water (displace): id=5764, wt=191.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=2309, wt=183.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=5762, wt=179.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=5757, wt=171.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=6085, wt=167.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=5724, wt=159.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=5755, wt=151.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=5723, wt=147.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=6087, wt=143.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=6409, wt=139.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=5731, wt=135.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=6741, wt=131.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=6033, wt=127.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=5750, wt=123.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=6088, wt=119.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=12802, wt=27.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=12811, wt=23.000
21.20/21.43	
21.20/21.43	Low Water (displace): id=13093, wt=19.000
21.20/21.43	
21.20/21.43	Low Water (keep): wt=27.000, iters=3352
21.20/21.43	
21.20/21.43	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 37 (0.00 of 9.79 sec).
21.20/21.43	
21.20/21.43	============================== PROOF =================================
21.20/21.43	% SZS status Theorem
21.20/21.43	% SZS output start Refutation
21.20/21.43	
21.20/21.43	% Proof 1 at 20.62 (+ 0.38) seconds: goals.
21.20/21.43	% Length of proof is 145.
21.20/21.43	% Level of proof is 29.
21.20/21.43	% Maximum clause weight is 43.000.
21.20/21.43	% Given clauses 722.
21.20/21.43	
21.20/21.43	1 (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].
21.20/21.43	2 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause).  [assumption].
21.20/21.43	3 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause).  [assumption].
21.20/21.43	4 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause).  [assumption].
21.20/21.43	5 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause).  [assumption].
21.20/21.43	6 -(all X0 all X1 (mult(rd(X1,X1),X0) = X0 & X0 = mult(X0,rd(X1,X1)))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
21.20/21.43	7 ld(A,mult(A,B)) = B # label(f02) # label(axiom).  [clausify(2)].
21.20/21.43	8 rd(mult(A,B),B) = A # label(f04) # label(axiom).  [clausify(3)].
21.20/21.43	9 mult(rd(A,B),B) = A # label(f03) # label(axiom).  [clausify(4)].
21.20/21.43	10 mult(A,ld(A,B)) = B # label(f01) # label(axiom).  [clausify(5)].
21.20/21.43	11 mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))) # label(f05) # label(axiom).  [clausify(1)].
21.20/21.43	12 mult(rd(c2,c2),c1) != c1 | mult(c1,rd(c2,c2)) != c1 # label(goals) # label(negated_conjecture) # answer(goals).  [clausify(6)].
21.20/21.43	13 ld(rd(A,B),A) = B.  [para(9(a,1),7(a,1,2))].
21.20/21.43	14 rd(A,ld(B,A)) = B.  [para(10(a,1),8(a,1,1))].
21.20/21.43	15 ld(mult(mult(A,B),C),mult(A,mult(B,mult(C,B)))) = B.  [para(11(a,1),7(a,1,2))].
21.20/21.43	16 rd(mult(A,mult(B,mult(C,B))),B) = mult(mult(A,B),C).  [para(11(a,1),8(a,1,1))].
21.20/21.43	17 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)].
21.20/21.43	18 mult(A,mult(ld(A,B),mult(C,ld(A,B)))) = mult(mult(B,C),ld(A,B)).  [para(10(a,1),11(a,1,1,1)),flip(a)].
21.20/21.43	19 mult(A,mult(B,mult(ld(mult(A,B),C),B))) = mult(C,B).  [para(10(a,1),11(a,1,1)),flip(a)].
21.20/21.43	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))].
21.20/21.43	23 ld(mult(mult(A,B),rd(C,B)),mult(A,mult(B,C))) = B.  [para(9(a,1),15(a,1,2,2,2))].
21.20/21.43	25 ld(mult(mult(A,ld(B,C)),B),mult(A,mult(ld(B,C),C))) = ld(B,C).  [para(10(a,1),15(a,1,2,2,2))].
21.20/21.43	27 ld(mult(A,mult(B,mult(C,B))),mult(mult(A,B),mult(C,mult(B,C)))) = C.  [para(11(a,1),15(a,1,1))].
21.20/21.43	29 rd(mult(A,mult(B,C)),B) = mult(mult(A,B),rd(C,B)).  [para(9(a,1),16(a,1,1,2,2))].
21.20/21.43	30 mult(mult(rd(A,mult(B,mult(C,B))),B),C) = rd(A,B).  [para(9(a,1),16(a,1,1)),flip(a)].
21.20/21.43	31 ld(rd(A,B),mult(mult(A,C),B)) = mult(B,mult(C,B)).  [para(17(a,1),7(a,1,2))].
21.20/21.43	32 rd(mult(mult(A,B),C),mult(C,mult(B,C))) = rd(A,C).  [para(17(a,1),8(a,1,1))].
21.20/21.43	33 mult(mult(A,rd(B,C)),C) = mult(rd(A,C),mult(C,B)).  [para(9(a,1),17(a,1,2,2)),flip(a)].
21.20/21.43	39 ld(A,mult(mult(B,C),ld(A,B))) = mult(ld(A,B),mult(C,ld(A,B))).  [para(18(a,1),7(a,1,2))].
21.20/21.43	40 mult(mult(A,B),ld(B,A)) = mult(B,mult(ld(B,A),A)).  [para(10(a,1),18(a,1,2,2)),flip(a)].
21.20/21.43	45 mult(A,mult(ld(mult(B,A),C),A)) = ld(B,mult(C,A)).  [para(19(a,1),7(a,1,2)),flip(a)].
21.20/21.43	62 mult(mult(rd(A,mult(B,C)),B),rd(C,B)) = rd(A,B).  [para(9(a,1),29(a,1,1)),flip(a)].
21.20/21.43	63 mult(mult(A,B),rd(ld(B,C),B)) = rd(mult(A,C),B).  [para(10(a,1),29(a,1,1,2)),flip(a)].
21.20/21.43	71 mult(rd(A,mult(B,mult(C,B))),B) = rd(rd(A,B),C).  [para(30(a,1),8(a,1,1)),flip(a)].
21.20/21.43	93 ld(rd(A,B),mult(C,B)) = mult(B,mult(ld(A,C),B)).  [para(10(a,1),31(a,1,2,1))].
21.20/21.43	98 rd(mult(A,B),mult(B,mult(C,B))) = rd(rd(A,C),B).  [para(9(a,1),32(a,1,1,1))].
21.20/21.43	166 ld(A,ld(B,mult(C,A))) = mult(ld(mult(B,A),C),A).  [para(45(a,1),7(a,1,2))].
21.20/21.43	210 ld(mult(rd(A,mult(B,C)),B),rd(A,B)) = rd(C,B).  [para(62(a,1),7(a,1,2))].
21.20/21.43	214 ld(mult(mult(A,rd(B,C)),mult(rd(D,mult(C,B)),C)),mult(A,mult(rd(B,C),rd(D,C)))) = rd(B,C).  [para(62(a,1),15(a,1,2,2,2))].
21.20/21.43	227 mult(mult(A,rd(B,C)),mult(mult(rd(D,mult(C,B)),C),mult(rd(B,C),mult(rd(D,mult(C,B)),C)))) = mult(mult(A,mult(rd(B,C),rd(D,C))),mult(rd(D,mult(C,B)),C)).  [para(62(a,1),21(a,1,1,2,2)),flip(a)].
21.20/21.43	232 ld(mult(A,B),rd(mult(A,C),B)) = rd(ld(B,C),B).  [para(63(a,1),7(a,1,2))].
21.20/21.43	233 rd(mult(rd(A,B),C),B) = mult(A,rd(ld(B,C),B)).  [para(9(a,1),63(a,1,1)),flip(a)].
21.20/21.43	235 mult(mult(A,B),mult(rd(ld(B,C),B),mult(D,rd(ld(B,C),B)))) = mult(mult(rd(mult(A,C),B),D),rd(ld(B,C),B)).  [para(63(a,1),11(a,1,1,1)),flip(a)].
21.20/21.43	247 mult(mult(rd(A,B),mult(B,C)),rd(ld(B,D),B)) = rd(mult(mult(A,rd(C,B)),D),B).  [para(33(a,1),63(a,1,1))].
21.20/21.43	331 mult(A,mult(ld(B,rd(C,A)),A)) = ld(rd(B,A),C).  [para(9(a,1),93(a,1,2)),flip(a)].
21.20/21.43	341 rd(rd(A,rd(B,C)),C) = rd(mult(A,C),mult(C,B)).  [para(9(a,1),98(a,1,2,2)),flip(a)].
21.20/21.43	392 mult(ld(mult(A,B),A),B) = ld(B,B).  [para(7(a,1),166(a,1,2)),flip(a)].
21.20/21.43	393 mult(ld(mult(A,B),rd(C,B)),B) = ld(B,ld(A,C)).  [para(9(a,1),166(a,1,2,2)),flip(a)].
21.20/21.43	414 ld(ld(mult(A,B),A),ld(B,B)) = B.  [para(392(a,1),7(a,1,2))].
21.20/21.43	415 rd(ld(A,A),A) = ld(mult(B,A),B).  [para(392(a,1),8(a,1,1))].
21.20/21.43	416 mult(ld(A,rd(A,B)),B) = ld(B,B).  [para(9(a,1),392(a,1,1,1))].
21.20/21.43	417 ld(ld(A,B),ld(A,B)) = mult(ld(B,A),ld(A,B)).  [para(10(a,1),392(a,1,1,1)),flip(a)].
21.20/21.43	427 mult(mult(A,ld(mult(B,C),B)),rd(C,ld(mult(B,C),B))) = rd(mult(A,ld(C,C)),ld(mult(B,C),B)).  [para(392(a,1),29(a,1,1,2)),flip(a)].
21.20/21.43	437 ld(ld(mult(A,B),A),mult(C,B)) = mult(B,mult(ld(ld(B,B),C),B)).  [para(392(a,1),45(a,1,2,1,1)),flip(a)].
21.20/21.43	450 mult(ld(mult(A,B),ld(mult(C,B),C)),B) = ld(B,ld(A,ld(B,B))).  [para(392(a,1),166(a,1,2,2)),flip(a)].
21.20/21.43	466 rd(ld(A,A),A) = ld(B,rd(B,A)).  [para(9(a,1),415(a,2,1))].
21.20/21.43	467 ld(mult(A,mult(B,mult(C,B))),mult(mult(A,B),C)) = rd(ld(B,B),B).  [para(11(a,1),415(a,2,1)),flip(a)].
21.20/21.43	468 rd(A,rd(ld(B,B),B)) = mult(A,B).  [para(415(a,2),14(a,1,2))].
21.20/21.43	482 mult(A,ld(mult(B,C),B)) = rd(A,C).  [para(415(a,1),62(a,1,2)),rewrite([10(2),9(2)])].
21.20/21.43	495 ld(mult(A,B),A) = ld(mult(C,B),C).  [para(415(a,1),415(a,1))].
21.20/21.43	501 rd(mult(A,ld(B,B)),ld(mult(C,B),C)) = mult(rd(A,B),rd(B,ld(mult(C,B),C))).  [back_rewrite(427),rewrite([482(3)]),flip(a)].
21.20/21.43	553 ld(ld(A,rd(A,B)),mult(C,B)) = mult(B,mult(ld(ld(B,B),C),B)).  [para(416(a,1),45(a,1,2,1,1)),flip(a)].
21.20/21.43	563 mult(ld(mult(A,B),ld(C,rd(C,B))),B) = ld(B,ld(A,ld(B,B))).  [para(416(a,1),166(a,1,2,2)),flip(a)].
21.20/21.43	581 mult(A,ld(B,rd(B,C))) = rd(A,C).  [para(466(a,1),62(a,1,2)),rewrite([10(2),9(2)])].
21.20/21.43	608 rd(A,ld(mult(B,C),B)) = mult(A,C).  [para(415(a,1),468(a,1,2))].
21.20/21.43	611 mult(mult(A,ld(B,B)),B) = mult(rd(A,B),mult(B,B)).  [back_rewrite(501),rewrite([608(5),608(7)])].
21.20/21.43	643 mult(ld(mult(A,B),A),rd(B,B)) = ld(mult(A,B),A).  [para(392(a,1),27(a,1,1,2,2)),rewrite([10(2),482(7),7(8)])].
21.20/21.43	645 rd(A,ld(B,C)) = mult(A,ld(C,B)).  [para(10(a,1),482(a,1,2,1)),flip(a)].
21.20/21.43	647 mult(A,mult(B,mult(ld(mult(C,D),C),B))) = mult(rd(mult(A,B),D),B).  [para(482(a,1),11(a,1,1)),flip(a)].
21.20/21.43	665 mult(ld(mult(A,B),A),rd(ld(C,D),B)) = ld(mult(C,B),rd(D,B)).  [para(482(a,1),93(a,1,2)),rewrite([645(3),7(2),482(9)]),flip(a)].
21.20/21.43	713 ld(mult(A,ld(B,C)),A) = ld(C,B).  [para(10(a,1),495(a,1,1)),flip(a)].
21.20/21.43	811 mult(mult(A,ld(B,C)),ld(C,B)) = A.  [para(645(a,1),8(a,1))].
21.20/21.43	815 mult(mult(A,mult(B,ld(C,D))),ld(D,C)) = mult(mult(A,ld(C,D)),mult(ld(D,C),B)).  [para(645(a,1),33(a,1,1,2)),rewrite([645(7)])].
21.20/21.43	819 ld(mult(A,ld(B,C)),mult(D,ld(C,B))) = mult(ld(C,B),mult(ld(A,D),ld(C,B))).  [para(645(a,1),93(a,1,1))].
21.20/21.43	901 mult(mult(ld(A,B),ld(A,B)),mult(ld(B,A),ld(C,D))) = ld(ld(B,A),ld(C,D)).  [para(811(a,1),166(a,1,2,2)),rewrite([819(8),815(10)]),flip(a)].
21.20/21.43	949 mult(A,mult(ld(A,A),A)) = mult(A,A).  [para(392(a,1),210(a,1,1,1,2)),rewrite([645(2),482(5),645(6),7(5),93(5),713(3),645(6),7(5)])].
21.20/21.43	961 mult(ld(A,A),A) = A.  [para(949(a,1),7(a,1,2)),rewrite([7(2)]),flip(a)].
21.20/21.43	963 ld(mult(A,A),mult(A,A)) = ld(A,A).  [para(949(a,1),23(a,1,2)),rewrite([10(2),645(2),10(2)])].
21.20/21.43	966 mult(mult(A,ld(B,B)),mult(B,B)) = mult(mult(A,B),B).  [para(949(a,1),21(a,2,2)),rewrite([10(3),961(2)]),flip(a)].
21.20/21.43	967 mult(rd(A,mult(B,B)),B) = mult(rd(A,B),ld(B,B)).  [para(949(a,1),71(a,1,1,2)),rewrite([645(6)])].
21.20/21.43	1031 rd(A,A) = ld(A,A).  [para(961(a,1),8(a,1,1))].
21.20/21.43	1037 mult(rd(A,B),mult(B,B)) = mult(mult(A,B),ld(B,B)).  [para(961(a,1),29(a,1,1,2)),rewrite([645(3),645(7),10(7),611(6)]),flip(a)].
21.20/21.43	1044 rd(mult(ld(A,A),B),A) = mult(A,rd(ld(A,B),A)).  [para(961(a,1),63(a,1,1)),flip(a)].
21.20/21.43	1050 mult(ld(A,ld(A,A)),A) = ld(A,A).  [para(961(a,1),392(a,1,1,1))].
21.20/21.43	1052 rd(ld(A,A),A) = ld(A,ld(A,A)).  [para(961(a,1),415(a,2,1))].
21.20/21.43	1053 mult(A,ld(B,ld(B,B))) = rd(A,B).  [para(961(a,1),482(a,1,2,1))].
21.20/21.43	1055 ld(A,rd(A,B)) = ld(B,ld(B,B)).  [para(961(a,1),581(a,1)),rewrite([417(7),13(4),581(5),1031(3),1052(4)])].
21.20/21.43	1066 mult(ld(mult(A,B),A),ld(B,B)) = ld(mult(A,B),A).  [back_rewrite(643),rewrite([1031(3)])].
21.20/21.43	1067 mult(ld(c2,c2),c1) != c1 | mult(c1,ld(c2,c2)) != c1 # answer(goals).  [back_rewrite(12),rewrite([1031(3),1031(11)])].
21.20/21.43	1068 mult(mult(A,ld(B,B)),B) = mult(mult(A,B),ld(B,B)).  [back_rewrite(611),rewrite([1037(6)])].
21.20/21.43	1113 ld(mult(A,mult(B,mult(C,B))),mult(mult(A,B),C)) = ld(B,ld(B,B)).  [back_rewrite(467),rewrite([1052(8)])].
21.20/21.43	1120 ld(rd(A,B),rd(A,B)) = mult(rd(A,mult(B,A)),B).  [para(1031(a,1),71(a,2)),rewrite([9(2)]),flip(a)].
21.20/21.43	1135 ld(A,mult(mult(A,A),A)) = mult(A,A).  [para(963(a,1),45(a,1,2,1)),rewrite([961(2)]),flip(a)].
21.20/21.43	1142 mult(ld(A,A),ld(A,A)) = ld(A,A).  [para(581(a,1),963(a,1,1)),rewrite([581(8),1120(7),581(5),1031(3),645(4),1068(5),416(3),417(8),13(5),581(6),1031(4)])].
21.20/21.43	1163 ld(ld(mult(A,B),A),mult(mult(ld(B,B),C),B)) = mult(B,mult(C,B)).  [para(414(a,1),39(a,1,2,2)),rewrite([414(10),414(10)])].
21.20/21.43	1167 mult(ld(mult(A,B),A),rd(C,B)) = rd(ld(B,C),B).  [para(482(a,1),39(a,1,2)),rewrite([232(4),482(7)]),flip(a)].
21.20/21.43	1168 mult(ld(A,B),mult(ld(C,rd(C,D)),ld(A,B))) = ld(A,mult(rd(B,D),ld(A,B))).  [para(581(a,1),39(a,1,2,1)),flip(a)].
21.20/21.43	1180 rd(ld(A,ld(B,C)),A) = ld(mult(B,A),rd(C,A)).  [back_rewrite(665),rewrite([1167(5)])].
21.20/21.43	1184 mult(ld(A,ld(A,A)),mult(A,mult(B,A))) = mult(mult(ld(A,A),B),A).  [para(1050(a,1),11(a,1,1,1)),flip(a)].
21.20/21.43	1221 mult(ld(A,ld(A,A)),ld(A,A)) = ld(A,ld(A,A)).  [para(1053(a,1),25(a,1,1,1)),rewrite([9(2),7(6)])].
21.20/21.43	1284 mult(ld(A,rd(A,B)),ld(B,B)) = ld(B,ld(B,B)).  [para(1055(a,2),25(a,1,2,2,1)),rewrite([1053(3),9(2),7(6)])].
21.20/21.43	1317 mult(mult(A,A),A) = mult(A,mult(A,A)).  [para(1135(a,1),10(a,1,2)),flip(a)].
21.20/21.43	1471 ld(ld(A,B),ld(B,A)) = mult(ld(B,A),ld(B,A)).  [para(1317(a,1),811(a,1,1)),rewrite([815(7),901(7)])].
21.20/21.43	1557 mult(ld(ld(A,B),C),ld(B,A)) = mult(ld(B,A),mult(C,ld(B,A))).  [para(10(a,1),232(a,1,1)),rewrite([645(3),39(4),645(8)]),flip(a)].
21.20/21.43	1587 ld(mult(mult(A,B),C),rd(A,C)) = ld(mult(D,C),rd(rd(D,B),C)).  [para(482(a,1),232(a,1,2,1)),rewrite([1180(8)]),flip(a)].
21.20/21.43	1592 ld(mult(rd(mult(A,B),C),B),A) = rd(ld(B,C),B).  [para(232(a,1),713(a,2)),rewrite([93(4),647(5)])].
21.20/21.43	1624 mult(mult(mult(A,B),B),ld(B,B)) = mult(A,mult(B,B)).  [para(414(a,1),233(a,2,2,1)),rewrite([645(3),7(2),645(6),7(5),1068(4),645(7),7(6)])].
21.20/21.43	1841 mult(rd(A,mult(B,ld(C,A))),ld(C,A)) = rd(C,mult(ld(A,C),B)).  [para(10(a,1),341(a,2,1)),rewrite([645(2),645(5)])].
21.20/21.43	1887 mult(ld(A,mult(B,ld(A,C))),ld(C,A)) = ld(ld(C,A),ld(C,B)).  [para(10(a,1),393(a,1,1,1)),rewrite([645(2)])].
21.20/21.43	1920 ld(A,ld(ld(mult(B,A),B),C)) = mult(ld(ld(A,A),rd(C,A)),A).  [para(392(a,1),393(a,1,1,1)),flip(a)].
21.20/21.43	2734 mult(ld(mult(A,B),A),mult(B,B)) = B.  [para(392(a,1),966(a,2,1)),rewrite([1066(4),961(6)])].
21.20/21.43	2737 mult(ld(A,ld(A,A)),mult(A,A)) = A.  [para(416(a,1),966(a,2,1)),rewrite([1284(4),961(6)])].
21.20/21.43	2778 ld(ld(mult(A,B),A),B) = mult(B,B).  [para(2734(a,1),7(a,1,2))].
21.20/21.43	2947 rd(ld(mult(A,B),A),B) = ld(B,ld(mult(A,B),A)).  [para(482(a,1),2778(a,1,1,1)),rewrite([13(2),482(8)]),flip(a)].
21.20/21.43	4789 mult(rd(A,B),mult(rd(A,mult(B,A)),B)) = rd(A,B).  [para(1120(a,1),10(a,1,2))].
21.20/21.43	4809 mult(A,mult(mult(rd(B,mult(A,B)),A),A)) = ld(rd(rd(B,A),A),B).  [para(1120(a,1),331(a,1,2,1))].
21.20/21.43	5335 mult(ld(A,ld(mult(B,A),B)),mult(A,C)) = ld(A,C).  [para(1167(a,1),33(a,1,1)),rewrite([9(3),2947(4)]),flip(a)].
21.20/21.43	7086 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(1221(a,1),1592(a,1,1,1,1)),rewrite([645(12),1557(12)])].
21.20/21.43	7371 ld(mult(rd(mult(A,mult(B,B)),C),ld(B,B)),mult(mult(A,B),B)) = mult(ld(B,B),mult(C,ld(B,B))).  [para(1624(a,1),1592(a,1,1,1,1)),rewrite([645(12),1557(12)])].
21.20/21.43	11140 mult(mult(A,rd(ld(A,B),A)),mult(rd(mult(ld(A,A),B),mult(A,mult(ld(A,A),B))),A)) = mult(A,rd(ld(A,B),A)).  [para(1044(a,1),4789(a,1,1)),rewrite([1044(14)])].
21.20/21.43	11154 mult(ld(A,ld(mult(B,A),B)),C) = ld(A,ld(A,C)).  [para(10(a,1),5335(a,1,2))].
21.20/21.43	13464 ld(ld(A,B),ld(ld(A,B),C)) = mult(mult(ld(B,A),ld(B,A)),C).  [para(10(a,1),11154(a,1,1,2,1)),rewrite([1471(3)]),flip(a)].
21.20/21.43	19841 ld(mult(A,mult(ld(A,B),B)),A) = ld(B,mult(ld(A,A),ld(B,A))).  [para(40(a,1),1587(a,1,1)),rewrite([645(5),10(5),645(9),819(10),1168(10),1031(5)])].
21.20/21.43	23486 mult(ld(A,A),rd(B,mult(ld(A,A),B))) = ld(B,B).  [para(811(a,1),4809(a,1,2)),rewrite([645(7),645(9),811(9)])].
21.20/21.43	23519 rd(A,mult(ld(B,B),A)) = ld(ld(B,B),ld(A,A)).  [para(23486(a,1),7(a,1,2)),flip(a)].
21.20/21.43	23520 mult(ld(A,ld(B,B)),ld(ld(B,B),A)) = mult(ld(B,B),rd(ld(ld(B,B),A),A)).  [para(10(a,1),23486(a,1,2,2)),rewrite([417(10)]),flip(a)].
21.20/21.43	23534 ld(ld(ld(A,A),ld(B,B)),ld(A,A)) = ld(B,B).  [para(23486(a,1),437(a,1,2)),rewrite([23519(3),713(5),23519(8),23519(11),23519(14),417(15),23520(15),645(14),19841(17),417(12),1142(12),23519(18),1887(19),417(14),1142(14),10(14)])].
21.20/21.43	23536 mult(ld(A,A),mult(ld(ld(A,A),ld(B,B)),ld(B,B))) = ld(B,B).  [para(23486(a,1),450(a,1,1,1)),rewrite([23519(4),713(6),13464(5),1142(3),23519(6),40(7),23519(10),23519(14),23519(17),417(18),23520(18),645(17),7(19),7(16)])].
21.20/21.43	23538 mult(ld(ld(A,A),ld(B,B)),ld(B,B)) = ld(A,A).  [para(23486(a,1),553(a,1,2)),rewrite([23519(3),645(4),7(5),23534(5),23519(4),23519(7),23519(10),417(11),23520(11),645(10),23536(11),23519(10),23520(11),645(10),23536(11)]),flip(a)].
21.20/21.43	23539 ld(A,A) = ld(B,B).  [para(23486(a,1),563(a,1,1,1)),rewrite([23519(4),645(5),7(6),13464(5),1142(3),23519(6),40(7),23538(6),1142(3),23519(4),23519(8),23519(11),417(12),23520(12),645(11),23538(11),1142(8),417(7),1142(7),23534(6)])].
21.20/21.43	23548 ld(ld(A,A),ld(B,B)) = ld(A,A).  [para(23486(a,1),1113(a,1,2,1)),rewrite([23519(4),23519(7),18(10),713(9),23519(6),23519(9),23519(12),417(13),23520(13),645(12),23538(12),1142(9),23534(8)])].
21.20/21.43	23549 ld(ld(A,A),mult(mult(ld(B,B),C),ld(B,B))) = mult(ld(B,B),mult(C,ld(B,B))).  [para(23486(a,1),1163(a,1,1,1)),rewrite([23548(3),23519(4),23548(4),23519(5),23548(5),23548(4),23519(6),23548(6),23519(9),23548(9),23519(10),23548(10)])].
21.20/21.43	23553 mult(ld(A,A),B) = B.  [para(23486(a,1),1184(a,2,1)),rewrite([23519(5),23548(5),961(4),2737(4)]),flip(a)].
21.20/21.43	23574 mult(A,ld(B,B)) = A.  [para(23486(a,1),1841(a,2,2)),rewrite([23553(2),1031(1),23553(3),645(2),10(2),10(2),645(2)]),flip(a)].
21.20/21.43	23577 ld(ld(A,A),B) = B.  [para(23486(a,1),1920(a,1,2,1,1)),rewrite([23553(2),1031(1),23548(4),13464(4),23574(3),23553(2),23553(2),1031(1),23553(3),1031(2),23548(3),23553(3),1031(2),645(3),23574(3),23553(4),1031(3),23574(4)]),flip(a)].
21.20/21.43	23586 mult(rd(A,mult(B,A)),B) = ld(B,B).  [para(23486(a,1),214(a,1,1,1)),rewrite([23553(3),23553(5),967(4),23574(4),23553(3),23553(4),1031(3),23553(5),23553(5),23553(4),1120(3),23553(5),1031(4)])].
21.20/21.43	23592 mult(mult(A,B),B) = mult(A,mult(B,B)).  [para(23486(a,1),227(a,1,2,1,1,2)),rewrite([23553(2),1031(1),645(3),23574(3),23574(2),645(2),23574(2),23574(2),23553(2),1031(1),645(3),23574(3),23553(4),1031(3),23574(4),645(3),23574(3),23574(3),23553(2),23553(4),1031(3),645(5),23574(5),645(5),23574(5),23553(4),23553(6),1031(5),23574(6),645(5),23574(5),23574(5)]),flip(a)].
21.20/21.43	23595 mult(mult(A,B),A) = mult(A,mult(B,A)).  [para(23486(a,1),235(a,1,1)),rewrite([23553(3),1031(2),23577(3),23553(3),1031(2),645(3),23574(3),23553(3),1031(2),23577(3),23553(3),1031(2),645(3),23574(3),23553(4),23553(4),23553(4),1031(3),645(4),23574(4),23553(5),1031(4),23577(5),23553(5),1031(4),645(5),23574(5)]),flip(a)].
21.20/21.43	23600 mult(A,rd(ld(A,B),A)) = rd(B,A).  [para(23486(a,1),247(a,2,1,1)),rewrite([23553(3),23553(4),1037(4),23553(2),10(2),23553(2),23553(3),23553(5),23553(5)])].
21.20/21.43	23613 ld(A,A) = c_0.  [new_symbol(23539)].
21.20/21.43	23623 mult(c_0,mult(A,c_0)) = mult(A,c_0).  [back_rewrite(23549),rewrite([23613(1),23613(2),23613(4),23595(5),7(6),23613(3),23613(4)]),flip(a)].
21.20/21.43	23897 mult(rd(A,B),c_0) = rd(A,B).  [back_rewrite(11140),rewrite([23600(3),23613(2),23613(4),23586(8),23613(2),23600(6)])].
21.20/21.43	24023 mult(A,c_0) = A.  [back_rewrite(7371),rewrite([23613(4),23897(5),23592(5),13(6),23613(1),23613(2),23623(4)]),flip(a)].
21.20/21.43	24049 mult(c_0,A) = A.  [back_rewrite(7086),rewrite([23613(1),23613(4),24023(5),23613(4),13(6),23613(1),23613(2),24023(3)]),flip(a)].
21.20/21.43	24129 $F # answer(goals).  [back_rewrite(1067),rewrite([23613(3),24049(3),23613(7),24023(6)]),xx(a),xx(b)].
21.20/21.43	
21.20/21.43	% SZS output end Refutation
21.20/21.43	============================== end of proof ==========================
21.20/21.43	
21.20/21.43	============================== STATISTICS ============================
21.20/21.43	
21.20/21.43	Given=722. Generated=665472. Kept=24122. proofs=1.
21.20/21.43	Usable=655. Sos=9169. Demods=8351. Limbo=576, Disabled=13728. Hints=0.
21.20/21.43	Megabytes=28.67.
21.20/21.43	User_CPU=20.63, System_CPU=0.38, Wall_clock=21.
21.20/21.43	
21.20/21.43	============================== end of statistics =====================
21.20/21.43	
21.20/21.43	============================== end of search =========================
21.20/21.43	
21.20/21.43	THEOREM PROVED
21.20/21.43	% SZS status Theorem
21.20/21.43	
21.20/21.43	Exiting with 1 proof.
21.20/21.43	
21.20/21.43	Process 56007 exit (max_proofs) Sat Jul 14 04:48:01 2018
21.20/21.43	Prover9 interrupted
21.20/21.44	EOF