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   : n156.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 05:56:09 CDT 2018
0.03/0.23	% CPUTime    : 
0.07/0.43	============================== Prover9 ===============================
0.07/0.43	Prover9 (32) version 2009-11A, November 2009.
0.07/0.43	Process 48508 was started by sandbox on n156.star.cs.uiowa.edu,
0.07/0.43	Sat Jul 14 05:56:10 2018
0.07/0.43	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_48476_n156.star.cs.uiowa.edu".
0.07/0.43	============================== end of head ===========================
0.07/0.43	
0.07/0.43	============================== INPUT =================================
0.07/0.43	
0.07/0.43	% Reading from file /tmp/Prover9_48476_n156.star.cs.uiowa.edu
0.07/0.43	
0.07/0.43	set(prolog_style_variables).
0.07/0.43	set(auto2).
0.07/0.43	    % set(auto2) -> set(auto).
0.07/0.43	    % set(auto) -> set(auto_inference).
0.07/0.43	    % set(auto) -> set(auto_setup).
0.07/0.43	    % set(auto_setup) -> set(predicate_elim).
0.07/0.43	    % set(auto_setup) -> assign(eq_defs, unfold).
0.07/0.43	    % set(auto) -> set(auto_limits).
0.07/0.43	    % set(auto_limits) -> assign(max_weight, "100.000").
0.07/0.43	    % set(auto_limits) -> assign(sos_limit, 20000).
0.07/0.43	    % set(auto) -> set(auto_denials).
0.07/0.43	    % set(auto) -> set(auto_process).
0.07/0.43	    % set(auto2) -> assign(new_constants, 1).
0.07/0.43	    % set(auto2) -> assign(fold_denial_max, 3).
0.07/0.43	    % set(auto2) -> assign(max_weight, "200.000").
0.07/0.43	    % set(auto2) -> assign(max_hours, 1).
0.07/0.43	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.07/0.43	    % set(auto2) -> assign(max_seconds, 0).
0.07/0.43	    % set(auto2) -> assign(max_minutes, 5).
0.07/0.43	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.07/0.43	    % set(auto2) -> set(sort_initial_sos).
0.07/0.43	    % set(auto2) -> assign(sos_limit, -1).
0.07/0.43	    % set(auto2) -> assign(lrs_ticks, 3000).
0.07/0.43	    % set(auto2) -> assign(max_megs, 400).
0.07/0.43	    % set(auto2) -> assign(stats, some).
0.07/0.43	    % set(auto2) -> clear(echo_input).
0.07/0.43	    % set(auto2) -> set(quiet).
0.07/0.43	    % set(auto2) -> clear(print_initial_clauses).
0.07/0.43	    % set(auto2) -> clear(print_given).
0.07/0.43	assign(lrs_ticks,-1).
0.07/0.43	assign(sos_limit,10000).
0.07/0.43	assign(order,kbo).
0.07/0.43	set(lex_order_vars).
0.07/0.43	clear(print_given).
0.07/0.43	
0.07/0.43	% formulas(sos).  % not echoed (13 formulas)
0.07/0.43	
0.07/0.43	============================== end of input ==========================
0.07/0.43	
0.07/0.43	% From the command line: assign(max_seconds, 300).
0.07/0.43	
0.07/0.43	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.07/0.43	
0.07/0.43	% Formulas that are not ordinary clauses:
0.07/0.43	1 (all B all A quotient(product(A,B),B) = A) # label(sos03) # label(axiom) # label(non_clause).  [assumption].
0.07/0.43	2 (all B all A product(quotient(A,B),B) = A) # label(sos04) # label(axiom) # label(non_clause).  [assumption].
0.07/0.43	3 (all A A = product(A,A)) # label(sos06) # label(axiom) # label(non_clause).  [assumption].
0.07/0.43	4 (all B all A B = product(A,difference(A,B))) # label(sos02) # label(axiom) # label(non_clause).  [assumption].
0.07/0.43	5 (all C all B all A bigC(A,B,C) = product(product(A,B),product(C,A))) # label(sos09) # label(axiom) # label(non_clause).  [assumption].
0.07/0.43	6 (all B all A B = difference(A,product(A,B))) # label(sos01) # label(axiom) # label(non_clause).  [assumption].
0.07/0.43	7 (all X0 all X1 all X2 (product(X1,X2) = product(X0,X1) <-> d(X0,X1,X2))) # label(sos08) # label(axiom) # label(non_clause).  [assumption].
0.07/0.43	8 (all D all C all B all A product(product(A,C),product(B,D)) = product(product(A,B),product(C,D))) # label(sos05) # label(axiom) # label(non_clause).  [assumption].
0.07/0.43	9 (all B all A B = product(product(product(A,B),B),product(B,product(B,A)))) # label(sos07) # label(axiom) # label(non_clause).  [assumption].
0.07/0.43	
0.07/0.43	============================== end of process non-clausal formulas ===
0.07/0.43	
0.07/0.43	============================== PROCESS INITIAL CLAUSES ===============
0.07/0.43	
0.07/0.43	============================== PREDICATE ELIMINATION =================
0.07/0.43	
0.07/0.43	============================== end predicate elimination =============
0.07/0.43	
0.07/0.43	Auto_denials:
0.07/0.43	  % copying label goals to answer in negative clause
0.07/0.43	
0.07/0.43	Term ordering decisions:
0.07/0.43	Function symbol KB weights:  a1=1. a2=1. a3=1. b1=1. b2=1. b3=1. c1=1. c2=1. c3=1. product=1. difference=1. quotient=1. bigC=1.
0.07/0.43	
0.07/0.43	============================== end of process initial clauses ========
0.07/0.43	
0.07/0.43	============================== CLAUSES FOR SEARCH ====================
0.07/0.43	
0.07/0.43	============================== end of clauses for search =============
0.07/0.43	
0.07/0.43	============================== SEARCH ================================
0.07/0.43	
0.07/0.43	% Starting search at 0.01 seconds.
1.91/2.15	
1.91/2.15	Low Water (keep): wt=46.000, iters=3460
1.91/2.15	
1.91/2.15	Low Water (keep): wt=44.000, iters=3431
1.91/2.15	
1.91/2.15	Low Water (keep): wt=42.000, iters=3346
1.91/2.15	
1.91/2.15	Low Water (keep): wt=38.000, iters=3361
1.91/2.15	
1.91/2.15	Low Water (keep): wt=37.000, iters=3368
1.91/2.15	
1.91/2.15	Low Water (keep): wt=36.000, iters=3333
1.91/2.15	
1.91/2.15	Low Water (keep): wt=35.000, iters=3368
1.91/2.15	
1.91/2.15	Low Water (keep): wt=34.000, iters=3378
1.91/2.15	
1.91/2.15	Low Water (keep): wt=33.000, iters=3340
1.91/2.15	
1.91/2.15	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 100 (0.00 of 1.17 sec).
1.91/2.15	
1.91/2.15	Low Water (keep): wt=31.000, iters=3393
1.91/2.15	
1.91/2.15	Low Water (keep): wt=30.000, iters=3378
1.91/2.15	
1.91/2.15	Low Water (keep): wt=29.000, iters=3391
1.91/2.15	
1.91/2.15	Low Water (keep): wt=28.000, iters=3342
1.91/2.15	
1.91/2.15	Low Water (keep): wt=27.000, iters=3343
1.91/2.15	
1.91/2.15	============================== PROOF =================================
1.91/2.15	% SZS status Theorem
1.91/2.15	% SZS output start Refutation
1.91/2.15	
1.91/2.15	% Proof 1 at 1.70 (+ 0.02) seconds: goals.
1.91/2.15	% Length of proof is 103.
1.91/2.15	% Level of proof is 21.
1.91/2.15	% Maximum clause weight is 31.000.
1.91/2.15	% Given clauses 644.
1.91/2.15	
1.91/2.15	1 (all B all A quotient(product(A,B),B) = A) # label(sos03) # label(axiom) # label(non_clause).  [assumption].
1.91/2.15	2 (all B all A product(quotient(A,B),B) = A) # label(sos04) # label(axiom) # label(non_clause).  [assumption].
1.91/2.15	3 (all A A = product(A,A)) # label(sos06) # label(axiom) # label(non_clause).  [assumption].
1.91/2.15	4 (all B all A B = product(A,difference(A,B))) # label(sos02) # label(axiom) # label(non_clause).  [assumption].
1.91/2.15	5 (all C all B all A bigC(A,B,C) = product(product(A,B),product(C,A))) # label(sos09) # label(axiom) # label(non_clause).  [assumption].
1.91/2.15	6 (all B all A B = difference(A,product(A,B))) # label(sos01) # label(axiom) # label(non_clause).  [assumption].
1.91/2.15	7 (all X0 all X1 all X2 (product(X1,X2) = product(X0,X1) <-> d(X0,X1,X2))) # label(sos08) # label(axiom) # label(non_clause).  [assumption].
1.91/2.15	8 (all D all C all B all A product(product(A,C),product(B,D)) = product(product(A,B),product(C,D))) # label(sos05) # label(axiom) # label(non_clause).  [assumption].
1.91/2.15	9 (all B all A B = product(product(product(A,B),B),product(B,product(B,A)))) # label(sos07) # label(axiom) # label(non_clause).  [assumption].
1.91/2.15	10 d(a1,a2,a3) # label(sos10) # label(axiom).  [assumption].
1.91/2.15	11 d(b1,b2,b3) # label(sos11) # label(axiom).  [assumption].
1.91/2.15	12 d(c1,c2,c3) # label(sos12) # label(axiom).  [assumption].
1.91/2.15	13 product(A,A) = A # label(sos06) # label(axiom).  [clausify(3)].
1.91/2.15	14 quotient(product(A,B),B) = A # label(sos03) # label(axiom).  [clausify(1)].
1.91/2.15	15 product(quotient(A,B),B) = A # label(sos04) # label(axiom).  [clausify(2)].
1.91/2.15	16 product(A,difference(A,B)) = B # label(sos02) # label(axiom).  [clausify(4)].
1.91/2.15	17 difference(A,product(A,B)) = B # label(sos01) # label(axiom).  [clausify(6)].
1.91/2.15	18 bigC(A,B,C) = product(product(A,B),product(C,A)) # label(sos09) # label(axiom).  [clausify(5)].
1.91/2.15	19 product(product(product(A,B),B),product(B,product(B,A))) = B # label(sos07) # label(axiom).  [clausify(9)].
1.91/2.15	20 product(product(A,B),product(C,D)) = product(product(A,C),product(B,D)) # label(sos05) # label(axiom).  [clausify(8)].
1.91/2.15	21 -d(bigC(a1,b3,c2),bigC(a2,b1,c3),bigC(a3,b2,c1)) # label(goals) # label(negated_conjecture) # answer(goals).  [assumption].
1.91/2.15	22 -d(product(product(a1,b3),product(c2,a1)),product(product(a2,b1),product(c3,a2)),product(product(a3,b2),product(c1,a3))) # answer(goals).  [copy(21),rewrite([18(4),18(11),18(18)])].
1.91/2.15	23 product(A,B) != product(C,A) | d(C,A,B) # label(sos08) # label(axiom).  [clausify(7)].
1.91/2.15	24 product(A,B) = product(C,A) | -d(C,A,B) # label(sos08) # label(axiom).  [clausify(7)].
1.91/2.15	26 quotient(A,difference(B,A)) = B.  [para(16(a,1),14(a,1,1))].
1.91/2.15	29 quotient(A,product(A,product(A,B))) = product(product(B,A),A).  [para(19(a,1),14(a,1,1))].
1.91/2.15	30 product(product(A,B),product(B,product(B,quotient(A,B)))) = B.  [para(15(a,1),19(a,1,1,1))].
1.91/2.15	37 product(product(A,B),product(A,C)) = product(A,product(B,C)).  [para(13(a,1),20(a,1,1)),flip(a)].
1.91/2.15	38 product(product(A,B),product(C,B)) = product(product(A,C),B).  [para(13(a,1),20(a,1,2)),flip(a)].
1.91/2.15	41 product(product(A,quotient(B,C)),product(D,C)) = product(product(A,D),B).  [para(15(a,1),20(a,1,2)),flip(a)].
1.91/2.15	53 product(product(product(A,B),product(C,D)),product(E,F)) = product(product(product(A,C),E),product(product(B,D),F)).  [para(20(a,1),20(a,1,1))].
1.91/2.15	54 product(product(A,product(B,C)),product(D,product(E,F))) = product(product(A,D),product(product(B,E),product(C,F))).  [para(20(a,1),20(a,1,2)),flip(a)].
1.91/2.15	57 -d(product(product(a1,b3),product(c2,a1)),product(product(a2,b1),product(c3,a2)),product(product(a3,c1),product(b2,a3))) # answer(goals).  [para(20(a,1),22(a,3))].
1.91/2.15	58 d(product(A,B),A,product(B,A)).  [hyper(23,a,20,a),rewrite([13(2)])].
1.91/2.15	73 product(c2,c3) = product(c1,c2).  [hyper(24,b,12,a)].
1.91/2.15	74 product(b2,b3) = product(b1,b2).  [hyper(24,b,11,a)].
1.91/2.15	75 product(a2,a3) = product(a1,a2).  [hyper(24,b,10,a)].
1.91/2.15	81 product(product(product(a2,b1),product(c3,a2)),product(product(a3,c1),product(b2,a3))) != product(product(product(a1,b3),product(c2,a1)),product(product(a2,b1),product(c3,a2))) # answer(goals).  [ur(23,b,57,a)].
1.91/2.15	85 product(product(difference(A,B),A),A) = quotient(A,product(A,B)).  [para(16(a,1),29(a,1,2,2)),flip(a)].
1.91/2.15	99 product(product(product(c1,c2),c3),product(c3,product(c3,c2))) = c3.  [para(73(a,1),19(a,1,1,1))].
1.91/2.15	101 product(product(c2,A),product(c3,B)) = product(product(c1,c2),product(A,B)).  [para(73(a,1),20(a,1,1)),flip(a)].
1.91/2.15	108 product(product(product(b1,b2),b3),product(b3,product(b3,b2))) = b3.  [para(74(a,1),19(a,1,1,1))].
1.91/2.15	110 product(product(b2,A),product(b3,B)) = product(product(b1,b2),product(A,B)).  [para(74(a,1),20(a,1,1)),flip(a)].
1.91/2.15	117 product(product(product(a1,a2),a3),product(a3,product(a3,a2))) = a3.  [para(75(a,1),19(a,1,1,1))].
1.91/2.15	119 product(product(a2,A),product(a3,B)) = product(product(a1,a2),product(A,B)).  [para(75(a,1),20(a,1,1)),flip(a)].
1.91/2.15	126 product(A,product(A,quotient(B,A))) = difference(product(B,A),A).  [para(30(a,1),17(a,1,2)),flip(a)].
1.91/2.15	136 product(product(product(a2,b1),product(a3,c1)),product(product(c3,a2),product(b2,a3))) != product(product(product(a1,b3),product(c2,a1)),product(product(a2,b1),product(c3,a2))) # answer(goals).  [para(20(a,1),81(a,1))].
1.91/2.15	158 product(product(A,B),A) = product(A,product(B,A)).  [hyper(24,b,58,a),flip(a)].
1.91/2.15	160 d(product(A,quotient(B,A)),A,B).  [para(15(a,1),58(a,3))].
1.91/2.15	235 product(A,product(difference(A,B),C)) = product(B,product(A,C)).  [para(16(a,1),37(a,1,1)),flip(a)].
1.91/2.15	252 product(product(a2,A),product(a1,a2)) = product(a2,product(A,a3)).  [para(75(a,1),37(a,1,2))].
1.91/2.15	274 product(product(product(a1,b3),product(c2,a1)),product(product(a2,b1),product(c3,a2))) != product(product(product(a1,a2),product(b1,c1)),product(product(c3,a2),product(b2,a3))) # answer(goals).  [para(20(a,1),136(a,1,1)),rewrite([75(3)]),flip(a)].
1.91/2.15	288 product(product(product(A,B),C),product(product(D,B),E)) = product(product(product(A,D),B),product(C,E)).  [para(38(a,1),20(a,1,1)),flip(a)].
1.91/2.15	313 product(product(product(a1,b3),product(c2,a1)),product(product(a2,b1),product(c3,a2))) != product(product(product(a1,c3),a2),product(product(b1,c1),product(b2,a3))) # answer(goals).  [back_rewrite(274),rewrite([288(30)])].
1.91/2.15	322 product(product(product(a1,b3),product(a2,b1)),product(product(c2,a1),product(c3,a2))) != product(product(product(a1,c3),a2),product(product(b1,c1),product(b2,a3))) # answer(goals).  [para(20(a,1),313(a,1))].
1.91/2.15	372 product(product(product(a1,b3),product(a2,b1)),product(product(c1,c2),product(a1,a2))) != product(product(product(a1,c3),a2),product(product(b1,c1),product(b2,a3))) # answer(goals).  [para(20(a,1),322(a,1,2)),rewrite([73(10)])].
1.91/2.15	647 product(product(product(a1,b3),product(c1,c2)),product(a2,product(b1,a3))) != product(product(product(a1,c3),a2),product(product(b1,c1),product(b2,a3))) # answer(goals).  [para(20(a,1),372(a,1)),rewrite([252(14)])].
1.91/2.15	650 product(product(product(a1,c3),a2),product(product(b1,c1),product(b2,a3))) != product(product(product(a1,b3),a2),product(product(c1,c2),product(b1,a3))) # answer(goals).  [para(20(a,1),647(a,1)),flip(a)].
1.91/2.15	657 quotient(product(A,product(B,A)),A) = product(A,B).  [para(158(a,1),14(a,1,1))].
1.91/2.15	827 product(product(product(a1,c3),product(b1,c1)),product(a2,product(b2,a3))) != product(product(product(a1,b3),a2),product(product(c1,c2),product(b1,a3))) # answer(goals).  [para(20(a,1),650(a,1))].
1.91/2.15	1027 quotient(product(A,B),A) = product(A,quotient(B,A)).  [para(15(a,1),657(a,1,1,2))].
1.91/2.15	1293 product(product(product(a1,b3),a2),product(product(c1,c2),product(b1,a3))) != product(product(product(a1,b1),a2),product(product(c3,c1),product(b2,a3))) # answer(goals).  [para(53(a,1),827(a,1)),flip(a)].
1.91/2.15	1846 product(c2,quotient(c3,c2)) = c1.  [para(73(a,1),1027(a,1,1)),rewrite([14(5)]),flip(a)].
1.91/2.15	1847 product(b2,quotient(b3,b2)) = b1.  [para(74(a,1),1027(a,1,1)),rewrite([14(5)]),flip(a)].
1.91/2.15	1848 product(a2,quotient(a3,a2)) = a1.  [para(75(a,1),1027(a,1,1)),rewrite([14(5)]),flip(a)].
1.91/2.15	1852 d(difference(product(A,B),B),B,product(B,A)).  [para(1027(a,1),160(a,1,2)),rewrite([126(3)])].
1.91/2.15	1924 quotient(c3,c2) = difference(c2,c1).  [para(1846(a,1),17(a,1,2)),flip(a)].
1.91/2.15	1935 quotient(b3,b2) = difference(b2,b1).  [para(1847(a,1),17(a,1,2)),flip(a)].
1.91/2.15	1983 quotient(a3,a2) = difference(a2,a1).  [para(1848(a,1),17(a,1,2)),flip(a)].
1.91/2.15	1991 product(difference(c2,c1),c2) = c3.  [para(1924(a,1),15(a,1,1))].
1.91/2.15	1997 product(difference(b2,b1),b2) = b3.  [para(1935(a,1),15(a,1,1))].
1.91/2.15	2099 product(difference(a2,a1),a2) = a3.  [para(1983(a,1),15(a,1,1))].
1.91/2.15	2384 d(product(A,B),B,quotient(B,product(B,A))).  [para(85(a,1),58(a,3)),rewrite([235(3),13(1)])].
1.91/2.15	2536 d(difference(A,B),B,product(B,quotient(A,B))).  [para(15(a,1),1852(a,1,1))].
1.91/2.15	2898 product(product(c1,c2),c3) = product(c1,product(c3,c2)).  [para(1991(a,1),101(a,2,2)),rewrite([16(5)]),flip(a)].
1.91/2.15	2996 product(product(c1,c3),product(c3,c2)) = c3.  [back_rewrite(99),rewrite([2898(5),38(11)])].
1.91/2.15	3368 product(product(b1,b2),b3) = product(b1,product(b3,b2)).  [para(1997(a,1),110(a,2,2)),rewrite([16(5)]),flip(a)].
1.91/2.15	3431 product(product(b1,b3),product(b3,b2)) = b3.  [back_rewrite(108),rewrite([3368(5),38(11)])].
1.91/2.15	3552 difference(product(c1,c3),c3) = product(c3,c2).  [para(2996(a,1),17(a,1,2))].
1.91/2.15	3726 product(product(a1,a2),a3) = product(a1,product(a3,a2)).  [para(2099(a,1),119(a,2,2)),rewrite([16(5)]),flip(a)].
1.91/2.15	3803 product(product(a1,a3),product(a3,a2)) = a3.  [back_rewrite(117),rewrite([3726(5),38(11)])].
1.91/2.15	3814 difference(product(b1,b3),b3) = product(b3,b2).  [para(3431(a,1),17(a,1,2))].
1.91/2.15	4074 difference(product(a1,a3),a3) = product(a3,a2).  [para(3803(a,1),17(a,1,2))].
1.91/2.15	5338 difference(product(A,B),B) = product(difference(A,B),B).  [hyper(24,b,2536,a),rewrite([126(3)])].
1.91/2.15	5415 product(difference(a1,a3),a3) = product(a3,a2).  [back_rewrite(4074),rewrite([5338(5)])].
1.91/2.15	5480 product(difference(b1,b3),b3) = product(b3,b2).  [back_rewrite(3814),rewrite([5338(5)])].
1.91/2.15	5482 product(difference(c1,c3),c3) = product(c3,c2).  [back_rewrite(3552),rewrite([5338(5)])].
1.91/2.15	5559 product(a3,quotient(a2,a3)) = difference(a1,a3).  [para(5415(a,1),14(a,1,1)),rewrite([1027(5)])].
1.91/2.15	5614 product(b3,quotient(b2,b3)) = difference(b1,b3).  [para(5480(a,1),14(a,1,1)),rewrite([1027(5)])].
1.91/2.15	5710 product(c3,quotient(c2,c3)) = difference(c1,c3).  [para(5482(a,1),14(a,1,1)),rewrite([1027(5)])].
1.91/2.15	5805 d(a2,a3,a1).  [para(5559(a,1),2384(a,3,2)),rewrite([15(5),26(7)])].
1.91/2.15	5822 product(a3,a1) = product(a1,a2).  [hyper(24,b,5805,a),rewrite([75(6)])].
1.91/2.15	5860 product(a1,quotient(a2,a1)) = a3.  [para(5822(a,1),14(a,1,1)),rewrite([1027(5)])].
1.91/2.15	5989 product(product(a1,A),a2) = product(a3,product(A,a1)).  [para(5860(a,1),41(a,1,1)),flip(a)].
1.91/2.15	6253 product(product(a3,product(b3,a1)),product(product(c1,c2),product(b1,a3))) != product(product(a3,product(b1,a1)),product(product(c3,c1),product(b2,a3))) # answer(goals).  [back_rewrite(1293),rewrite([5989(5),5989(18)])].
1.91/2.15	6883 d(b2,b3,b1).  [para(5614(a,1),2384(a,3,2)),rewrite([15(5),26(7)])].
1.91/2.15	6900 product(b3,b1) = product(b1,b2).  [hyper(24,b,6883,a),rewrite([74(6)])].
1.91/2.15	7071 product(product(A,product(b3,B)),product(C,product(b1,D))) = product(product(A,C),product(product(b1,b2),product(B,D))).  [para(6900(a,1),54(a,2,2,1))].
1.91/2.15	7869 product(product(a3,product(c3,c1)),product(product(b1,b2),product(a1,a3))) != product(product(a3,product(b3,a1)),product(product(c1,c2),product(b1,a3))) # answer(goals).  [para(54(a,1),6253(a,2)),flip(a)].
1.91/2.15	8246 d(c2,c3,c1).  [para(5710(a,1),2384(a,3,2)),rewrite([15(5),26(7)])].
1.91/2.15	8273 product(c3,c1) = product(c1,c2).  [hyper(24,b,8246,a),rewrite([73(6)])].
1.91/2.15	8284 product(product(a3,product(c1,c2)),product(product(b1,b2),product(a1,a3))) != product(product(a3,product(b3,a1)),product(product(c1,c2),product(b1,a3))) # answer(goals).  [back_rewrite(7869),rewrite([8273(4)])].
1.91/2.15	8285 $F # answer(goals).  [resolve(8284,a,7071,a(flip))].
1.91/2.15	
1.91/2.15	% SZS output end Refutation
1.91/2.15	============================== end of proof ==========================
1.91/2.15	
1.91/2.15	============================== STATISTICS ============================
1.91/2.15	
1.91/2.15	Given=644. Generated=27286. Kept=8274. proofs=1.
1.91/2.15	Usable=400. Sos=4730. Demods=1752. Limbo=11, Disabled=3146. Hints=0.
1.91/2.15	Megabytes=9.57.
1.91/2.15	User_CPU=1.70, System_CPU=0.02, Wall_clock=1.
1.91/2.15	
1.91/2.15	============================== end of statistics =====================
1.91/2.15	
1.91/2.15	============================== end of search =========================
1.91/2.15	
1.91/2.15	THEOREM PROVED
1.91/2.15	% SZS status Theorem
1.91/2.15	
1.91/2.15	Exiting with 1 proof.
1.91/2.15	
1.91/2.15	Process 48508 exit (max_proofs) Sat Jul 14 05:56:11 2018
1.91/2.15	Prover9 interrupted
1.97/2.15	EOF