0.00/0.04	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : tptp2X_and_run_prover9 %d %s
0.03/0.24	% Computer   : n162.star.cs.uiowa.edu
0.03/0.24	% Model      : x86_64 x86_64
0.03/0.24	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.24	% Memory     : 32218.625MB
0.03/0.24	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.24	% CPULimit   : 300
0.03/0.24	% DateTime   : Sat Jul 14 04:44:25 CDT 2018
0.03/0.24	% CPUTime    : 
0.07/0.44	============================== Prover9 ===============================
0.07/0.44	Prover9 (32) version 2009-11A, November 2009.
0.07/0.44	Process 64081 was started by sandbox2 on n162.star.cs.uiowa.edu,
0.07/0.44	Sat Jul 14 04:44:25 2018
0.07/0.44	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_64049_n162.star.cs.uiowa.edu".
0.07/0.44	============================== end of head ===========================
0.07/0.44	
0.07/0.44	============================== INPUT =================================
0.07/0.44	
0.07/0.44	% Reading from file /tmp/Prover9_64049_n162.star.cs.uiowa.edu
0.07/0.44	
0.07/0.44	set(prolog_style_variables).
0.07/0.44	set(auto2).
0.07/0.44	    % set(auto2) -> set(auto).
0.07/0.44	    % set(auto) -> set(auto_inference).
0.07/0.44	    % set(auto) -> set(auto_setup).
0.07/0.44	    % set(auto_setup) -> set(predicate_elim).
0.07/0.44	    % set(auto_setup) -> assign(eq_defs, unfold).
0.07/0.44	    % set(auto) -> set(auto_limits).
0.07/0.44	    % set(auto_limits) -> assign(max_weight, "100.000").
0.07/0.44	    % set(auto_limits) -> assign(sos_limit, 20000).
0.07/0.44	    % set(auto) -> set(auto_denials).
0.07/0.44	    % set(auto) -> set(auto_process).
0.07/0.44	    % set(auto2) -> assign(new_constants, 1).
0.07/0.44	    % set(auto2) -> assign(fold_denial_max, 3).
0.07/0.44	    % set(auto2) -> assign(max_weight, "200.000").
0.07/0.44	    % set(auto2) -> assign(max_hours, 1).
0.07/0.44	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.07/0.44	    % set(auto2) -> assign(max_seconds, 0).
0.07/0.44	    % set(auto2) -> assign(max_minutes, 5).
0.07/0.44	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.07/0.44	    % set(auto2) -> set(sort_initial_sos).
0.07/0.44	    % set(auto2) -> assign(sos_limit, -1).
0.07/0.44	    % set(auto2) -> assign(lrs_ticks, 3000).
0.07/0.44	    % set(auto2) -> assign(max_megs, 400).
0.07/0.44	    % set(auto2) -> assign(stats, some).
0.07/0.44	    % set(auto2) -> clear(echo_input).
0.07/0.44	    % set(auto2) -> set(quiet).
0.07/0.44	    % set(auto2) -> clear(print_initial_clauses).
0.07/0.44	    % set(auto2) -> clear(print_given).
0.07/0.44	assign(lrs_ticks,-1).
0.07/0.44	assign(sos_limit,10000).
0.07/0.44	assign(order,kbo).
0.07/0.44	set(lex_order_vars).
0.07/0.44	clear(print_given).
0.07/0.44	
0.07/0.44	% formulas(sos).  % not echoed (6 formulas)
0.07/0.44	
0.07/0.44	============================== end of input ==========================
0.07/0.44	
0.07/0.44	% From the command line: assign(max_seconds, 300).
0.07/0.44	
0.07/0.44	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.07/0.44	
0.07/0.44	% Formulas that are not ordinary clauses:
0.07/0.44	1 (all X4 all X5 ((exists X6 (l(X6,X5) & r(X4,X6))) <-> d(X4,X5))) # label(sos05) # label(axiom) # label(non_clause).  [assumption].
0.07/0.44	2 (all C all B all A product(product(A,B),C) = product(A,product(B,C))) # label(sos01) # label(axiom) # label(non_clause).  [assumption].
0.07/0.44	3 (all X0 all X1 (X1 = product(X1,X0) & X0 = product(X0,X1) <-> l(X0,X1))) # label(sos03) # label(axiom) # label(non_clause).  [assumption].
0.07/0.44	4 (all X2 all X3 (X2 = product(X3,X2) & X3 = product(X2,X3) <-> r(X2,X3))) # label(sos04) # label(axiom) # label(non_clause).  [assumption].
0.07/0.44	5 (all A product(A,A) = A) # label(sos02) # label(axiom) # label(non_clause).  [assumption].
0.07/0.44	6 -(all X7 all X8 (d(X7,X8) <-> X8 = product(X8,product(X7,X8)) & X7 = product(X7,product(X8,X7)))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
0.07/0.44	
0.07/0.44	============================== end of process non-clausal formulas ===
0.07/0.44	
0.07/0.44	============================== PROCESS INITIAL CLAUSES ===============
0.07/0.44	
0.07/0.44	============================== PREDICATE ELIMINATION =================
0.07/0.44	7 product(A,B) = A | -l(B,A) # label(sos03) # label(axiom).  [clausify(3)].
0.07/0.44	8 l(f1(A,B),B) | -d(A,B) # label(sos05) # label(axiom).  [clausify(1)].
0.07/0.44	Derived: product(A,f1(B,A)) = A | -d(B,A).  [resolve(7,b,8,a)].
0.07/0.44	9 product(A,B) = A | -l(A,B) # label(sos03) # label(axiom).  [clausify(3)].
0.07/0.44	Derived: product(f1(A,B),B) = f1(A,B) | -d(A,B).  [resolve(9,b,8,a)].
0.07/0.44	10 -l(A,B) | -r(C,A) | d(C,B) # label(sos05) # label(axiom).  [clausify(1)].
0.07/0.44	Derived: -r(A,f1(B,C)) | d(A,C) | -d(B,C).  [resolve(10,a,8,a)].
0.07/0.44	11 product(A,B) != A | product(B,A) != B | l(B,A) # label(sos03) # label(axiom).  [clausify(3)].
0.07/0.44	Derived: product(A,B) != A | product(B,A) != B | -r(C,B) | d(C,A).  [resolve(11,c,10,a)].
0.07/0.44	
0.07/0.44	============================== end predicate elimination =============
0.07/0.44	
0.07/0.44	Auto_denials:  (non-Horn, no changes).
0.07/0.44	
0.07/0.44	Term ordering decisions:
0.07/0.44	Function symbol KB weights:  c1=1. c2=1. product=1. f1=1.
0.07/0.44	
0.07/0.44	============================== end of process initial clauses ========
8.51/8.76	
8.51/8.76	============================== CLAUSES FOR SEARCH ====================
8.51/8.76	
8.51/8.76	============================== end of clauses for search =============
8.51/8.76	
8.51/8.76	============================== SEARCH ================================
8.51/8.76	
8.51/8.76	% Starting search at 0.01 seconds.
8.51/8.76	
8.51/8.76	Low Water (keep): wt=68.000, iters=3337
8.51/8.76	
8.51/8.76	Low Water (keep): wt=50.000, iters=3341
8.51/8.76	
8.51/8.76	Low Water (keep): wt=44.000, iters=3356
8.51/8.76	
8.51/8.76	Low Water (keep): wt=42.000, iters=3355
8.51/8.76	
8.51/8.76	Low Water (keep): wt=40.000, iters=3344
8.51/8.76	
8.51/8.76	Low Water (keep): wt=39.000, iters=3394
8.51/8.76	
8.51/8.76	Low Water (keep): wt=38.000, iters=3486
8.51/8.76	
8.51/8.76	Low Water (keep): wt=37.000, iters=3370
8.51/8.76	
8.51/8.76	Low Water (keep): wt=36.000, iters=3356
8.51/8.76	
8.51/8.76	Low Water (keep): wt=35.000, iters=3340
8.51/8.76	
8.51/8.76	Low Water (keep): wt=34.000, iters=3358
8.51/8.76	
8.51/8.76	Low Water (keep): wt=33.000, iters=3366
8.51/8.76	
8.51/8.76	Low Water (keep): wt=32.000, iters=3341
8.51/8.76	
8.51/8.76	Low Water (keep): wt=31.000, iters=3336
8.51/8.76	
8.51/8.76	Low Water (keep): wt=30.000, iters=3345
8.51/8.76	
8.51/8.76	Low Water (keep): wt=29.000, iters=3345
8.51/8.76	
8.51/8.76	Low Water (keep): wt=28.000, iters=3335
8.51/8.76	
8.51/8.76	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 30 (0.00 of 1.88 sec).
8.51/8.76	
8.51/8.76	Low Water (keep): wt=27.000, iters=3350
8.51/8.76	
8.51/8.76	Low Water (keep): wt=26.000, iters=3344
8.51/8.76	
8.51/8.76	Low Water (displace): id=4089, wt=70.000
8.51/8.76	
8.51/8.76	Low Water (displace): id=4220, wt=69.000
8.51/8.76	
8.51/8.76	Low Water (displace): id=3758, wt=66.000
8.51/8.76	
8.51/8.76	Low Water (displace): id=2534, wt=65.000
8.51/8.76	
8.51/8.76	Low Water (displace): id=13131, wt=24.000
8.51/8.76	
8.51/8.76	Low Water (displace): id=13134, wt=22.000
8.51/8.76	
8.51/8.76	Low Water (displace): id=13475, wt=20.000
8.51/8.76	
8.51/8.76	Low Water (displace): id=14135, wt=19.000
8.51/8.76	
8.51/8.76	Low Water (keep): wt=25.000, iters=3336
8.51/8.76	
8.51/8.76	Low Water (displace): id=15527, wt=18.000
8.51/8.76	
8.51/8.76	Low Water (keep): wt=24.000, iters=3376
8.51/8.76	
8.51/8.76	Low Water (keep): wt=23.000, iters=3335
8.51/8.76	
8.51/8.76	Low Water (keep): wt=22.000, iters=3410
8.51/8.76	
8.51/8.76	Low Water (keep): wt=21.000, iters=3399
8.51/8.76	
8.51/8.76	============================== PROOF =================================
8.51/8.76	% SZS status Theorem
8.51/8.76	% SZS output start Refutation
8.51/8.76	
8.51/8.76	% Proof 1 at 8.17 (+ 0.16) seconds.
8.51/8.76	% Length of proof is 85.
8.51/8.76	% Level of proof is 19.
8.51/8.76	% Maximum clause weight is 27.000.
8.51/8.76	% Given clauses 2380.
8.51/8.76	
8.51/8.76	1 (all X4 all X5 ((exists X6 (l(X6,X5) & r(X4,X6))) <-> d(X4,X5))) # label(sos05) # label(axiom) # label(non_clause).  [assumption].
8.51/8.76	2 (all C all B all A product(product(A,B),C) = product(A,product(B,C))) # label(sos01) # label(axiom) # label(non_clause).  [assumption].
8.51/8.76	3 (all X0 all X1 (X1 = product(X1,X0) & X0 = product(X0,X1) <-> l(X0,X1))) # label(sos03) # label(axiom) # label(non_clause).  [assumption].
8.51/8.76	4 (all X2 all X3 (X2 = product(X3,X2) & X3 = product(X2,X3) <-> r(X2,X3))) # label(sos04) # label(axiom) # label(non_clause).  [assumption].
8.51/8.76	5 (all A product(A,A) = A) # label(sos02) # label(axiom) # label(non_clause).  [assumption].
8.51/8.76	6 -(all X7 all X8 (d(X7,X8) <-> X8 = product(X8,product(X7,X8)) & X7 = product(X7,product(X8,X7)))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
8.51/8.76	7 product(A,B) = A | -l(B,A) # label(sos03) # label(axiom).  [clausify(3)].
8.51/8.76	8 l(f1(A,B),B) | -d(A,B) # label(sos05) # label(axiom).  [clausify(1)].
8.51/8.76	9 product(A,B) = A | -l(A,B) # label(sos03) # label(axiom).  [clausify(3)].
8.51/8.76	10 -l(A,B) | -r(C,A) | d(C,B) # label(sos05) # label(axiom).  [clausify(1)].
8.51/8.76	11 product(A,B) != A | product(B,A) != B | l(B,A) # label(sos03) # label(axiom).  [clausify(3)].
8.51/8.76	12 product(A,A) = A # label(sos02) # label(axiom).  [clausify(5)].
8.51/8.76	13 d(c1,c2) | product(c2,product(c1,c2)) = c2 # label(goals) # label(negated_conjecture).  [clausify(6)].
8.51/8.76	14 d(c1,c2) | product(c1,product(c2,c1)) = c1 # label(goals) # label(negated_conjecture).  [clausify(6)].
8.51/8.76	15 product(product(A,B),C) = product(A,product(B,C)) # label(sos01) # label(axiom).  [clausify(2)].
8.51/8.76	16 -d(c1,c2) | product(c2,product(c1,c2)) != c2 | product(c1,product(c2,c1)) != c1 # label(goals) # label(negated_conjecture).  [clausify(6)].
8.51/8.76	17 r(A,f1(A,B)) | -d(A,B) # label(sos05) # label(axiom).  [clausify(1)].
8.51/8.76	18 product(A,B) = B | -r(B,A) # label(sos04) # label(axiom).  [clausify(4)].
8.51/8.76	19 product(A,B) = B | -r(A,B) # label(sos04) # label(axiom).  [clausify(4)].
8.51/8.76	20 product(A,B) != B | product(B,A) != A | r(B,A) # label(sos04) # label(axiom).  [clausify(4)].
8.51/8.76	21 product(A,f1(B,A)) = A | -d(B,A).  [resolve(7,b,8,a)].
8.51/8.76	22 product(f1(A,B),B) = f1(A,B) | -d(A,B).  [resolve(9,b,8,a)].
8.51/8.76	23 -r(A,f1(B,C)) | d(A,C) | -d(B,C).  [resolve(10,a,8,a)].
8.51/8.76	24 product(A,B) != A | product(B,A) != B | -r(C,B) | d(C,A).  [resolve(11,c,10,a)].
8.51/8.76	27 product(A,product(B,product(A,B))) = product(A,B).  [para(15(a,1),12(a,1))].
8.51/8.76	28 product(A,product(A,B)) = product(A,B).  [para(12(a,1),15(a,1,1)),flip(a)].
8.51/8.76	29 r(c1,f1(c1,c2)) | product(c1,product(c2,c1)) = c1.  [resolve(17,b,14,a)].
8.51/8.76	30 r(c1,f1(c1,c2)) | product(c2,product(c1,c2)) = c2.  [resolve(17,b,13,a)].
8.51/8.76	34 product(c2,f1(c1,c2)) = c2 | product(c2,product(c1,c2)) = c2.  [resolve(21,b,13,a)].
8.51/8.76	35 product(f1(c1,c2),c2) = f1(c1,c2) | product(c1,product(c2,c1)) = c1.  [resolve(22,b,14,a)].
8.51/8.76	40 product(A,product(B,product(A,product(B,C)))) = product(A,product(B,C)).  [para(27(a,1),15(a,1,1)),rewrite([15(2),15(5),15(4)]),flip(a)].
8.51/8.76	52 product(A,product(B,A)) != A | r(A,product(A,B)).  [resolve(28,a,20,b),rewrite([15(2)])].
8.51/8.76	57 product(c1,product(c2,c1)) = c1 | product(f1(c1,c2),c1) = c1.  [resolve(29,a,18,b)].
8.51/8.76	60 product(c2,product(c1,c2)) = c2 | product(c1,f1(c1,c2)) = f1(c1,c2).  [resolve(30,a,19,b)].
8.51/8.76	61 product(c2,product(c1,c2)) = c2 | product(f1(c1,c2),c1) = c1.  [resolve(30,a,18,b)].
8.51/8.76	77 r(product(A,product(B,A)),product(A,B)).  [para(27(a,1),52(a,1,2)),rewrite([15(4),12(3),15(10),15(9),27(10)]),xx(a)].
8.51/8.76	78 r(product(A,B),product(A,product(B,A))).  [para(28(a,1),52(a,1,2)),rewrite([12(3),15(6)]),xx(a)].
8.51/8.76	80 product(A,product(B,C)) != A | product(B,product(C,A)) != product(B,C) | d(product(B,product(C,B)),A).  [resolve(77,a,24,c),rewrite([15(5)])].
8.51/8.76	84 product(A,product(B,product(C,B))) != A | product(B,product(C,product(B,A))) != product(B,product(C,B)) | d(product(B,C),A).  [resolve(78,a,24,c),rewrite([15(7),15(6)])].
8.51/8.76	86 r(product(A,product(B,C)),product(A,product(B,product(C,A)))).  [para(15(a,1),78(a,2,2))].
8.51/8.76	159 product(c2,product(c1,c2)) = c2 | product(A,product(c2,f1(c1,c2))) = product(A,c2).  [para(34(a,1),15(a,2,2)),rewrite([15(13)])].
8.51/8.76	219 product(c1,product(c2,c1)) = c1 | product(f1(c1,c2),product(c2,A)) = product(f1(c1,c2),A).  [para(35(a,1),15(a,1,1)),flip(b)].
8.51/8.76	246 product(c1,product(c2,c1)) = c1 | product(f1(c1,c2),product(c1,A)) = product(c1,A).  [para(57(b,1),15(a,1,1)),flip(b)].
8.51/8.76	281 product(c2,product(c1,c2)) = c2 | product(f1(c1,c2),product(c1,A)) = product(c1,A).  [para(61(b,1),15(a,1,1)),flip(b)].
8.51/8.76	365 r(product(A,product(B,product(A,C))),product(A,product(B,product(A,product(C,B))))).  [para(40(a,1),52(a,1,2)),rewrite([15(6),12(5),15(14),15(13),15(12)]),xx(a)].
8.51/8.76	1333 d(product(c1,product(c2,c1)),c2) | product(c1,f1(c1,c2)) = f1(c1,c2).  [resolve(80,a,60,a),rewrite([12(4)]),xx(a)].
8.51/8.76	1334 product(A,product(B,A)) != A | d(product(B,product(A,B)),A).  [para(12(a,1),80(b,1,2)),xx(b)].
8.51/8.76	1500 d(product(A,B),product(B,A)).  [resolve(84,b,40,a),rewrite([15(4),28(3),27(3)]),xx(a)].
8.51/8.76	1557 d(product(A,product(B,C)),product(C,product(A,B))).  [para(15(a,1),1500(a,1))].
8.51/8.76	1667 d(product(A,B),product(B,product(A,B))).  [para(12(a,1),1557(a,1,2))].
8.51/8.76	1833 product(A,product(B,product(A,f1(product(B,A),product(A,product(B,A)))))) = product(A,product(B,A)).  [resolve(1667,a,21,b),rewrite([15(7),15(6)])].
8.51/8.76	1834 r(product(A,B),f1(product(A,B),product(B,product(A,B)))).  [resolve(1667,a,17,b)].
8.51/8.76	2246 product(A,product(B,f1(product(A,B),product(B,product(A,B))))) = f1(product(A,B),product(B,product(A,B))).  [resolve(1834,a,19,b),rewrite([15(6)])].
8.51/8.76	2283 product(A,f1(product(B,A),product(A,product(B,A)))) = product(A,product(B,A)).  [back_rewrite(1833),rewrite([2246(6)])].
8.51/8.76	2284 f1(product(A,B),product(B,product(A,B))) = product(A,B).  [back_rewrite(2246),rewrite([2283(5),27(3)]),flip(a)].
8.51/8.76	2558 -r(A,product(B,C)) | d(A,product(C,product(B,C))).  [para(2284(a,1),23(a,2)),unit_del(c,1667)].
8.51/8.76	2594 -r(A,product(B,product(C,D))) | d(A,product(D,product(B,product(C,D)))).  [para(15(a,1),2558(a,2)),rewrite([15(5)])].
8.51/8.76	9145 product(c1,f1(c1,c2)) = f1(c1,c2) | r(product(c1,product(c2,c1)),f1(product(c1,product(c2,c1)),c2)).  [resolve(1333,a,17,b)].
8.51/8.76	9596 d(product(A,product(B,C)),product(C,product(A,product(B,product(C,A))))).  [resolve(2594,a,86,a),rewrite([15(7),28(6)])].
8.51/8.76	11039 r(product(A,product(B,C)),product(A,product(B,product(C,B)))).  [para(40(a,1),365(a,1)),rewrite([15(4),40(7)])].
8.51/8.76	11791 product(c1,product(c2,c1)) = c1 | product(f1(c1,c2),product(c2,c1)) = c1.  [para(57(b,1),219(b,2)),merge(b)].
8.51/8.76	12101 product(c1,product(c2,c1)) = c1 | r(c1,product(f1(c1,c2),product(c2,product(c1,c2)))).  [para(11791(b,1),11039(a,1))].
8.51/8.76	14854 product(c2,product(c1,c2)) = c2 | product(f1(c1,c2),product(c1,product(c2,f1(c1,c2)))) = product(c1,c2).  [para(159(b,1),281(b,2)),merge(b)].
8.51/8.76	19813 product(c1,product(c2,c1)) = c1 | r(c1,product(f1(c1,c2),product(c1,c2))).  [para(219(b,1),12101(b,2)),merge(b)].
8.51/8.76	19817 product(c1,product(c2,c1)) = c1 | r(c1,product(c1,c2)).  [para(246(b,1),19813(b,2)),merge(b)].
8.51/8.76	19819 product(c1,product(c2,c1)) = c1.  [resolve(19817,b,18,b),rewrite([15(12)]),merge(b)].
8.51/8.76	19833 product(c1,f1(c1,c2)) = f1(c1,c2) | r(c1,f1(c1,c2)).  [back_rewrite(9145),rewrite([19819(14),19819(15)])].
8.51/8.76	19842 -d(c1,c2) | product(c2,product(c1,c2)) != c2.  [back_rewrite(16),rewrite([19819(15)]),xx(c)].
8.51/8.76	19849 product(c1,product(c2,product(c1,A))) = product(c1,A).  [para(19819(a,1),15(a,1,1)),rewrite([15(7)]),flip(a)].
8.51/8.76	19899 d(product(A,c1),product(c2,product(c1,A))).  [para(19819(a,1),9596(a,1,2)),rewrite([15(10),19849(11),15(9),27(8)])].
8.51/8.76	25465 product(c1,f1(c1,c2)) = f1(c1,c2).  [resolve(19833,b,19,b),merge(b)].
8.51/8.76	25743 product(c1,product(f1(c1,c2),A)) = product(f1(c1,c2),A).  [para(25465(a,1),15(a,1,1)),flip(a)].
8.51/8.76	25745 r(product(f1(c1,c2),c1),f1(c1,c2)).  [para(25465(a,1),77(a,2)),rewrite([25743(7)])].
8.51/8.76	25902 d(product(f1(c1,c2),c1),product(c2,f1(c1,c2))).  [para(25465(a,1),19899(a,2,2))].
8.51/8.76	25905 product(c1,product(c2,f1(c1,c2))) = f1(c1,c2).  [para(25465(a,1),19849(a,1,2,2)),rewrite([25465(12)])].
8.51/8.76	26034 product(c2,product(c1,c2)) = c2 | f1(c1,c2) = product(c1,c2).  [back_rewrite(14854),rewrite([25905(17),12(14)])].
8.51/8.76	26068 d(product(f1(c1,c2),c1),c2) | -d(c1,c2).  [resolve(25745,a,23,a)].
8.51/8.76	26083 d(product(f1(c1,c2),c1),c2) | product(c2,product(c1,c2)) = c2.  [resolve(26068,b,13,a)].
8.51/8.76	27044 f1(c1,c2) = product(c1,c2) | d(c1,c2).  [resolve(26034,a,1334,a),rewrite([19819(12)])].
8.51/8.76	27258 f1(c1,c2) = product(c1,c2) | product(c2,product(c1,c2)) != c2.  [resolve(27044,b,19842,a)].
8.51/8.76	27313 product(c2,product(c1,c2)) = c2 | product(c2,f1(product(f1(c1,c2),c1),c2)) = c2.  [resolve(26083,a,21,b)].
8.51/8.76	30168 f1(c1,c2) = product(c1,c2).  [resolve(27258,b,26034,a),merge(b)].
8.51/8.76	30203 product(c2,product(c1,c2)) = c2.  [back_rewrite(27313),rewrite([30168(11),15(13),19819(13),30168(11)]),merge(b)].
8.51/8.76	30274 d(c1,c2).  [back_rewrite(25902),rewrite([30168(3),15(5),19819(5),30168(5),30203(6)])].
8.51/8.76	30420 $F.  [back_rewrite(19842),rewrite([30203(8)]),xx(b),unit_del(a,30274)].
8.51/8.76	
8.51/8.76	% SZS output end Refutation
8.51/8.76	============================== end of proof ==========================
8.51/8.76	
8.51/8.76	============================== STATISTICS ============================
8.51/8.76	
8.51/8.76	Given=2380. Generated=268720. Kept=30408. proofs=1.
8.51/8.76	Usable=714. Sos=3597. Demods=309. Limbo=217, Disabled=25898. Hints=0.
8.51/8.76	Megabytes=26.41.
8.51/8.76	User_CPU=8.17, System_CPU=0.16, Wall_clock=9.
8.51/8.76	
8.51/8.76	============================== end of statistics =====================
8.51/8.76	
8.51/8.76	============================== end of search =========================
8.51/8.76	
8.51/8.76	THEOREM PROVED
8.51/8.76	% SZS status Theorem
8.51/8.76	
8.51/8.76	Exiting with 1 proof.
8.51/8.76	
8.51/8.76	Process 64081 exit (max_proofs) Sat Jul 14 04:44:34 2018
8.51/8.76	Prover9 interrupted
8.60/9.19	EOF