0.12/0.14	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.14	% Command    : tptp2X_and_run_prover9 %d %s
0.15/0.36	% Computer   : n004.cluster.edu
0.15/0.36	% Model      : x86_64 x86_64
0.15/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.36	% Memory     : 8042.1875MB
0.15/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.15/0.36	% CPULimit   : 1200
0.15/0.36	% DateTime   : Tue Jul 13 15:11:38 EDT 2021
0.15/0.36	% CPUTime    : 
0.50/1.06	============================== Prover9 ===============================
0.50/1.06	Prover9 (32) version 2009-11A, November 2009.
0.50/1.06	Process 10345 was started by sandbox on n004.cluster.edu,
0.50/1.06	Tue Jul 13 15:11:39 2021
0.50/1.06	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_10185_n004.cluster.edu".
0.50/1.06	============================== end of head ===========================
0.50/1.06	
0.50/1.06	============================== INPUT =================================
0.50/1.06	
0.50/1.06	% Reading from file /tmp/Prover9_10185_n004.cluster.edu
0.50/1.06	
0.50/1.06	set(prolog_style_variables).
0.50/1.06	set(auto2).
0.50/1.06	    % set(auto2) -> set(auto).
0.50/1.06	    % set(auto) -> set(auto_inference).
0.50/1.06	    % set(auto) -> set(auto_setup).
0.50/1.06	    % set(auto_setup) -> set(predicate_elim).
0.50/1.06	    % set(auto_setup) -> assign(eq_defs, unfold).
0.50/1.06	    % set(auto) -> set(auto_limits).
0.50/1.06	    % set(auto_limits) -> assign(max_weight, "100.000").
0.50/1.06	    % set(auto_limits) -> assign(sos_limit, 20000).
0.50/1.06	    % set(auto) -> set(auto_denials).
0.50/1.06	    % set(auto) -> set(auto_process).
0.50/1.06	    % set(auto2) -> assign(new_constants, 1).
0.50/1.06	    % set(auto2) -> assign(fold_denial_max, 3).
0.50/1.06	    % set(auto2) -> assign(max_weight, "200.000").
0.50/1.06	    % set(auto2) -> assign(max_hours, 1).
0.50/1.06	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.50/1.06	    % set(auto2) -> assign(max_seconds, 0).
0.50/1.06	    % set(auto2) -> assign(max_minutes, 5).
0.50/1.06	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.50/1.06	    % set(auto2) -> set(sort_initial_sos).
0.50/1.06	    % set(auto2) -> assign(sos_limit, -1).
0.50/1.06	    % set(auto2) -> assign(lrs_ticks, 3000).
0.50/1.06	    % set(auto2) -> assign(max_megs, 400).
0.50/1.06	    % set(auto2) -> assign(stats, some).
0.50/1.06	    % set(auto2) -> clear(echo_input).
0.50/1.06	    % set(auto2) -> set(quiet).
0.50/1.06	    % set(auto2) -> clear(print_initial_clauses).
0.50/1.06	    % set(auto2) -> clear(print_given).
0.50/1.06	assign(lrs_ticks,-1).
0.50/1.06	assign(sos_limit,10000).
0.50/1.06	assign(order,kbo).
0.50/1.06	set(lex_order_vars).
0.50/1.06	clear(print_given).
0.50/1.06	
0.50/1.06	% formulas(sos).  % not echoed (16 formulas)
0.50/1.06	
0.50/1.06	============================== end of input ==========================
0.50/1.06	
0.50/1.06	% From the command line: assign(max_seconds, 1200).
0.50/1.06	
0.50/1.06	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.50/1.06	
0.50/1.06	% Formulas that are not ordinary clauses:
0.50/1.06	1 (all B all A B = product(A,difference(A,B))) # label(sos02) # label(axiom) # label(non_clause).  [assumption].
0.50/1.06	2 (all X3 all X4 all X5 (product(X3,X5) = product(product(X3,X4),product(X4,X5)) <-> m(X3,X4,X5))) # label(sos09) # label(axiom) # label(non_clause).  [assumption].
0.50/1.06	3 (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].
0.50/1.06	4 (all B all A A = product(quotient(A,B),B)) # label(sos04) # label(axiom) # label(non_clause).  [assumption].
0.50/1.06	5 (all B all A A = quotient(product(A,B),B)) # label(sos03) # label(axiom) # label(non_clause).  [assumption].
0.50/1.06	6 (all B all A B = product(product(product(A,B),B),product(B,product(B,A)))) # label(sos07) # label(axiom) # label(non_clause).  [assumption].
0.50/1.06	7 (all X0 all X1 all X2 (product(X0,X1) = product(X1,X2) <-> d(X0,X1,X2))) # label(sos08) # label(axiom) # label(non_clause).  [assumption].
0.50/1.06	8 (all B all A difference(A,product(A,B)) = B) # label(sos01) # label(axiom) # label(non_clause).  [assumption].
0.50/1.06	9 (all A product(A,A) = A) # label(sos06) # label(axiom) # label(non_clause).  [assumption].
0.50/1.06	
0.50/1.06	============================== end of process non-clausal formulas ===
0.50/1.06	
0.50/1.06	============================== PROCESS INITIAL CLAUSES ===============
0.50/1.06	
0.50/1.06	============================== PREDICATE ELIMINATION =================
0.50/1.06	10 product(A,B) = product(C,A) | -d(C,A,B) # label(sos08) # label(axiom).  [clausify(7)].
0.50/1.06	11 d(a1,b,c1) # label(sos14) # label(axiom).  [assumption].
0.50/1.06	12 d(a1,b1,c) # label(sos15) # label(axiom).  [assumption].
0.50/1.06	13 d(b,a,bigC) # label(sos12) # label(axiom).  [assumption].
0.50/1.06	14 d(bigB,a,c) # label(sos11) # label(axiom).  [assumption].
0.50/1.06	15 d(b,bigA,c) # label(sos10) # label(axiom).  [assumption].
0.50/1.06	16 d(a,b1,c1) # label(sos13) # label(axiom).  [assumption].
0.50/1.06	17 product(A,B) != product(C,A) | d(C,A,B) # label(sos08) # label(axiom).  [clausify(7)].
0.50/1.06	Derived: product(b,c1) = product(a1,b).  [resolve(10,b,11,a)].
13.29/13.63	Derived: product(b1,c) = product(a1,b1).  [resolve(10,b,12,a)].
13.29/13.63	Derived: product(a,bigC) = product(b,a).  [resolve(10,b,13,a)].
13.29/13.63	Derived: product(a,c) = product(bigB,a).  [resolve(10,b,14,a)].
13.29/13.63	Derived: product(bigA,c) = product(b,bigA).  [resolve(10,b,15,a)].
13.29/13.63	Derived: product(b1,c1) = product(a,b1).  [resolve(10,b,16,a)].
13.29/13.63	
13.29/13.63	============================== end predicate elimination =============
13.29/13.63	
13.29/13.63	Auto_denials:
13.29/13.63	  % copying label goals to answer in negative clause
13.29/13.63	
13.29/13.63	Term ordering decisions:
13.29/13.63	Function symbol KB weights:  a=1. b=1. b1=1. c=1. a1=1. bigA=1. c1=1. bigB=1. bigC=1. product=1. difference=1. quotient=1.
13.29/13.63	
13.29/13.63	============================== end of process initial clauses ========
13.29/13.63	
13.29/13.63	============================== CLAUSES FOR SEARCH ====================
13.29/13.63	
13.29/13.63	============================== end of clauses for search =============
13.29/13.63	
13.29/13.63	============================== SEARCH ================================
13.29/13.63	
13.29/13.63	% Starting search at 0.01 seconds.
13.29/13.63	
13.29/13.63	Low Water (keep): wt=55.000, iters=3384
13.29/13.63	
13.29/13.63	Low Water (keep): wt=51.000, iters=3401
13.29/13.63	
13.29/13.63	Low Water (keep): wt=49.000, iters=3402
13.29/13.63	
13.29/13.63	Low Water (keep): wt=47.000, iters=3401
13.29/13.63	
13.29/13.63	Low Water (keep): wt=43.000, iters=3381
13.29/13.63	
13.29/13.63	Low Water (keep): wt=39.000, iters=3435
13.29/13.63	
13.29/13.63	Low Water (keep): wt=37.000, iters=3350
13.29/13.63	
13.29/13.63	Low Water (keep): wt=35.000, iters=3341
13.29/13.63	
13.29/13.63	Low Water (keep): wt=33.000, iters=3360
13.29/13.63	
13.29/13.63	Low Water (keep): wt=31.000, iters=3345
13.29/13.63	
13.29/13.63	Low Water (keep): wt=29.000, iters=3345
13.29/13.63	
13.29/13.63	Low Water (keep): wt=27.000, iters=3341
13.29/13.63	
13.29/13.63	Low Water (keep): wt=25.000, iters=3401
13.29/13.63	
13.29/13.63	Low Water (keep): wt=23.000, iters=3361
13.29/13.63	
13.29/13.63	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 116 (0.00 of 1.68 sec).
13.29/13.63	
13.29/13.63	Low Water (keep): wt=21.000, iters=3341
13.29/13.63	
13.29/13.63	Low Water (displace): id=2746, wt=67.000
13.29/13.63	
13.29/13.63	Low Water (displace): id=3098, wt=65.000
13.29/13.63	
13.29/13.63	Low Water (displace): id=15614, wt=19.000
13.29/13.63	
13.29/13.63	Low Water (displace): id=15627, wt=17.000
13.29/13.63	
13.29/13.63	Low Water (displace): id=15670, wt=15.000
13.29/13.63	
13.29/13.63	Low Water (displace): id=16471, wt=13.000
13.29/13.63	
13.29/13.63	Low Water (keep): wt=19.000, iters=3339
13.29/13.63	
13.29/13.63	Low Water (keep): wt=17.000, iters=3435
13.29/13.63	
13.29/13.63	Low Water (displace): id=20967, wt=11.000
13.29/13.63	
13.29/13.63	Low Water (displace): id=24653, wt=9.000
13.29/13.63	
13.29/13.63	Low Water (keep): wt=16.000, iters=3333
13.29/13.63	
13.29/13.63	Low Water (keep): wt=15.000, iters=3358
13.29/13.63	
13.29/13.63	============================== PROOF =================================
13.29/13.63	% SZS status Theorem
13.29/13.63	% SZS output start Refutation
13.29/13.63	
13.29/13.63	% Proof 1 at 12.21 (+ 0.37) seconds: goals.
13.29/13.63	% Length of proof is 114.
13.29/13.63	% Level of proof is 23.
13.29/13.63	% Maximum clause weight is 15.000.
13.29/13.63	% Given clauses 2131.
13.29/13.63	
13.29/13.63	1 (all B all A B = product(A,difference(A,B))) # label(sos02) # label(axiom) # label(non_clause).  [assumption].
13.29/13.63	2 (all X3 all X4 all X5 (product(X3,X5) = product(product(X3,X4),product(X4,X5)) <-> m(X3,X4,X5))) # label(sos09) # label(axiom) # label(non_clause).  [assumption].
13.29/13.63	3 (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].
13.29/13.63	4 (all B all A A = product(quotient(A,B),B)) # label(sos04) # label(axiom) # label(non_clause).  [assumption].
13.29/13.63	5 (all B all A A = quotient(product(A,B),B)) # label(sos03) # label(axiom) # label(non_clause).  [assumption].
13.29/13.63	6 (all B all A B = product(product(product(A,B),B),product(B,product(B,A)))) # label(sos07) # label(axiom) # label(non_clause).  [assumption].
13.29/13.63	7 (all X0 all X1 all X2 (product(X0,X1) = product(X1,X2) <-> d(X0,X1,X2))) # label(sos08) # label(axiom) # label(non_clause).  [assumption].
13.29/13.63	8 (all B all A difference(A,product(A,B)) = B) # label(sos01) # label(axiom) # label(non_clause).  [assumption].
13.29/13.63	9 (all A product(A,A) = A) # label(sos06) # label(axiom) # label(non_clause).  [assumption].
13.29/13.63	10 product(A,B) = product(C,A) | -d(C,A,B) # label(sos08) # label(axiom).  [clausify(7)].
13.29/13.63	11 d(a1,b,c1) # label(sos14) # label(axiom).  [assumption].
13.29/13.63	12 d(a1,b1,c) # label(sos15) # label(axiom).  [assumption].
13.29/13.63	13 d(b,a,bigC) # label(sos12) # label(axiom).  [assumption].
13.29/13.63	15 d(b,bigA,c) # label(sos10) # label(axiom).  [assumption].
13.29/13.63	16 d(a,b1,c1) # label(sos13) # label(axiom).  [assumption].
13.29/13.63	18 product(A,A) = A # label(sos06) # label(axiom).  [clausify(9)].
13.29/13.63	19 product(A,difference(A,B)) = B # label(sos02) # label(axiom).  [clausify(1)].
13.29/13.63	20 product(quotient(A,B),B) = A # label(sos04) # label(axiom).  [clausify(4)].
13.29/13.63	21 quotient(product(A,B),B) = A # label(sos03) # label(axiom).  [clausify(5)].
13.29/13.63	22 difference(A,product(A,B)) = B # label(sos01) # label(axiom).  [clausify(8)].
13.29/13.63	23 product(product(product(A,B),B),product(B,product(B,A))) = B # label(sos07) # label(axiom).  [clausify(6)].
13.29/13.63	24 product(product(A,B),product(C,D)) = product(product(A,C),product(B,D)) # label(sos05) # label(axiom).  [clausify(3)].
13.29/13.63	25 -m(bigA,b1,bigC) # label(goals) # label(negated_conjecture) # answer(goals).  [assumption].
13.29/13.63	26 product(product(A,B),product(B,C)) != product(A,C) | m(A,B,C) # label(sos09) # label(axiom).  [clausify(2)].
13.29/13.63	28 product(b,c1) = product(a1,b).  [resolve(10,b,11,a)].
13.29/13.63	29 product(a1,b) = product(b,c1).  [copy(28),flip(a)].
13.29/13.63	30 product(b1,c) = product(a1,b1).  [resolve(10,b,12,a)].
13.29/13.63	31 product(a1,b1) = product(b1,c).  [copy(30),flip(a)].
13.29/13.63	32 product(a,bigC) = product(b,a).  [resolve(10,b,13,a)].
13.29/13.63	33 product(b,a) = product(a,bigC).  [copy(32),flip(a)].
13.29/13.63	36 product(bigA,c) = product(b,bigA).  [resolve(10,b,15,a)].
13.29/13.63	37 product(b1,c1) = product(a,b1).  [resolve(10,b,16,a)].
13.29/13.63	44 product(product(A,B),product(B,product(B,quotient(A,B)))) = B.  [para(20(a,1),23(a,1,1,1))].
13.29/13.63	50 product(product(A,B),product(A,C)) = product(A,product(B,C)).  [para(18(a,1),24(a,1,1)),flip(a)].
13.29/13.63	51 product(product(A,B),product(C,B)) = product(product(A,C),B).  [para(18(a,1),24(a,1,2)),flip(a)].
13.29/13.63	52 product(product(A,B),product(difference(A,C),D)) = product(C,product(B,D)).  [para(19(a,1),24(a,1,1)),flip(a)].
13.29/13.63	55 product(product(A,quotient(B,C)),product(D,C)) = product(product(A,D),B).  [para(20(a,1),24(a,1,2)),flip(a)].
13.29/13.63	84 quotient(product(b,c1),b) = a1.  [para(29(a,1),21(a,1,1))].
13.29/13.63	93 quotient(product(b1,c),b1) = a1.  [para(31(a,1),21(a,1,1))].
13.29/13.63	102 quotient(product(a,bigC),a) = b.  [para(33(a,1),21(a,1,1))].
13.29/13.63	155 product(A,product(A,quotient(B,A))) = difference(product(B,A),A).  [para(44(a,1),22(a,1,2)),flip(a)].
13.29/13.63	192 product(product(A,B),A) = product(A,product(B,A)).  [para(18(a,1),50(a,1,2))].
13.29/13.63	195 product(A,product(B,difference(A,C))) = product(product(A,B),C).  [para(19(a,1),50(a,1,2)),flip(a)].
13.29/13.63	211 product(product(b1,c),product(a1,A)) = product(a1,product(b1,A)).  [para(31(a,1),50(a,1,1))].
13.29/13.63	243 quotient(product(A,product(B,A)),A) = product(A,B).  [para(192(a,1),21(a,1,1))].
13.29/13.63	258 product(product(b,bigA),bigA) = product(bigA,product(c,bigA)).  [para(36(a,1),192(a,1,1))].
13.29/13.63	262 product(product(A,B),difference(A,C)) = product(C,product(B,difference(A,C))).  [para(19(a,1),51(a,1,1)),flip(a)].
13.29/13.63	288 product(product(A,c1),product(a,b1)) = product(product(A,b1),c1).  [para(37(a,1),51(a,1,2))].
13.29/13.63	330 difference(product(A,B),product(C,product(B,D))) = product(difference(A,C),D).  [para(52(a,1),22(a,1,2))].
13.29/13.63	695 quotient(product(A,B),A) = product(A,quotient(B,A)).  [para(20(a,1),243(a,1,1,2))].
13.29/13.63	712 product(a,quotient(bigC,a)) = b.  [back_rewrite(102),rewrite([695(5)])].
13.29/13.63	713 product(b1,quotient(c,b1)) = a1.  [back_rewrite(93),rewrite([695(5)])].
13.29/13.63	714 product(b,quotient(c1,b)) = a1.  [back_rewrite(84),rewrite([695(5)])].
13.29/13.63	721 quotient(bigC,a) = difference(a,b).  [para(712(a,1),22(a,1,2)),flip(a)].
13.29/13.63	724 product(product(a,A),bigC) = product(b,product(A,a)).  [para(712(a,1),55(a,1,1)),flip(a)].
13.29/13.63	726 quotient(c,b1) = difference(b1,a1).  [para(713(a,1),22(a,1,2)),flip(a)].
13.29/13.63	729 product(product(b1,A),c) = product(a1,product(A,b1)).  [para(713(a,1),55(a,1,1)),flip(a)].
13.29/13.63	805 product(product(b,A),c1) = product(a1,product(A,b)).  [para(714(a,1),55(a,1,1)),flip(a)].
13.29/13.63	810 product(difference(a,b),a) = bigC.  [para(721(a,1),20(a,1,1))].
13.29/13.63	814 product(difference(b1,a1),b1) = c.  [para(726(a,1),20(a,1,1))].
13.29/13.63	1652 difference(product(b,bigA),product(bigA,product(c,bigA))) = bigA.  [para(258(a,1),22(a,1,2))].
13.29/13.63	1960 product(A,quotient(difference(A,B),A)) = quotient(B,A).  [para(19(a,1),695(a,1,1)),flip(a)].
13.29/13.63	1966 quotient(product(a,bigC),b) = product(b,quotient(a,b)).  [para(33(a,1),695(a,1,1))].
13.29/13.63	1968 product(bigA,quotient(c,bigA)) = b.  [para(36(a,1),695(a,1,1)),rewrite([21(5)]),flip(a)].
13.29/13.63	1969 product(b1,quotient(c1,b1)) = a.  [para(37(a,1),695(a,1,1)),rewrite([21(5)]),flip(a)].
13.29/13.63	2004 quotient(c,bigA) = difference(bigA,b).  [para(1968(a,1),22(a,1,2)),flip(a)].
13.29/13.63	2007 product(product(bigA,A),c) = product(b,product(A,bigA)).  [para(1968(a,1),55(a,1,1)),flip(a)].
13.29/13.63	2011 quotient(c1,b1) = difference(b1,a).  [para(1969(a,1),22(a,1,2)),flip(a)].
13.29/13.63	2014 product(product(b1,A),c1) = product(a,product(A,b1)).  [para(1969(a,1),55(a,1,1)),flip(a)].
13.29/13.63	2076 product(difference(bigA,b),bigA) = c.  [para(2004(a,1),20(a,1,1))].
13.29/13.63	2080 product(difference(b1,a),b1) = c1.  [para(2011(a,1),20(a,1,1))].
13.29/13.63	2631 quotient(product(a1,product(A,b1)),c) = product(b1,A).  [para(729(a,1),21(a,1,1))].
13.29/13.63	2677 product(a1,c1) = product(a,c).  [para(2080(a,1),729(a,2,2)),rewrite([19(5)]),flip(a)].
13.29/13.63	4578 quotient(difference(A,B),A) = difference(A,quotient(B,A)).  [para(1960(a,1),22(a,1,2)),flip(a)].
13.29/13.63	5100 quotient(product(a,product(A,b1)),c1) = product(b1,A).  [para(2014(a,1),21(a,1,1))].
13.29/13.63	6401 quotient(product(a1,A),c) = product(b1,quotient(A,b1)).  [para(20(a,1),2631(a,1,1,2))].
13.29/13.63	7452 quotient(product(a,A),c1) = product(b1,quotient(A,b1)).  [para(20(a,1),5100(a,1,1,2))].
13.29/13.63	9342 product(a,quotient(b,a)) = difference(bigC,a).  [para(810(a,1),155(a,2,1)),rewrite([4578(7),19(8)])].
13.29/13.63	9345 product(b1,quotient(a1,b1)) = difference(c,b1).  [para(814(a,1),155(a,2,1)),rewrite([4578(7),19(8)])].
13.29/13.63	9357 quotient(difference(product(A,B),B),B) = difference(A,B).  [para(155(a,1),695(a,1,1)),rewrite([695(6),155(7),20(5)])].
13.29/13.63	9358 product(bigA,quotient(b,bigA)) = difference(c,bigA).  [para(2076(a,1),155(a,2,1)),rewrite([4578(7),19(8)])].
13.29/13.63	9360 product(b1,quotient(a,b1)) = difference(c1,b1).  [para(2080(a,1),155(a,2,1)),rewrite([4578(7),19(8)])].
13.29/13.63	9534 product(difference(bigC,a),bigC) = b.  [para(9342(a,1),724(a,1,1)),rewrite([20(11),18(8)])].
13.29/13.63	9658 product(bigC,b) = product(a,bigC).  [para(9534(a,1),192(a,2,2)),rewrite([19(5)]),flip(a)].
13.29/13.63	9726 product(b,quotient(a,b)) = bigC.  [para(9658(a,1),21(a,1,1)),rewrite([1966(5)])].
13.29/13.63	9859 quotient(a,b) = difference(b,bigC).  [para(9726(a,1),22(a,1,2)),flip(a)].
13.29/13.63	9875 product(difference(b,bigC),b) = a.  [para(9859(a,1),20(a,1,1))].
13.29/13.63	9927 product(bigC,c1) = product(a1,a).  [para(9875(a,1),805(a,2,2)),rewrite([19(5)])].
13.29/13.63	10057 product(difference(c,b1),c) = a1.  [para(9345(a,1),729(a,1,1)),rewrite([20(11),18(8)])].
13.29/13.63	10083 product(c,a1) = product(b1,c).  [para(10057(a,1),192(a,2,2)),rewrite([19(5)]),flip(a)].
13.29/13.63	10157 product(product(b1,c),product(c,A)) = product(c,product(a1,A)).  [para(10083(a,1),50(a,1,1))].
13.29/13.63	10723 product(difference(c,bigA),c) = b.  [para(9358(a,1),2007(a,1,1)),rewrite([20(11),18(8)])].
13.29/13.63	10742 product(c,b) = product(b,bigA).  [para(10723(a,1),192(a,2,2)),rewrite([19(5),36(3)]),flip(a)].
13.29/13.63	11188 product(b,quotient(bigA,b)) = c.  [para(10742(a,1),21(a,1,1)),rewrite([695(5)])].
13.29/13.63	11279 product(product(b,A),bigA) = product(c,product(A,b)).  [para(11188(a,1),55(a,1,1)),flip(a)].
13.29/13.63	11304 product(bigA,product(c,bigA)) = product(c,product(bigA,b)).  [back_rewrite(258),rewrite([11279(5)]),flip(a)].
13.29/13.63	11335 product(difference(b,c),b) = bigA.  [back_rewrite(1652),rewrite([11304(8),330(9)])].
13.29/13.63	11442 product(a1,bigA) = product(c,c1).  [para(11335(a,1),805(a,2,2)),rewrite([19(5)]),flip(a)].
13.29/13.63	11814 product(difference(c1,b1),c1) = a.  [para(9360(a,1),2014(a,1,1)),rewrite([20(11),18(8)])].
13.29/13.63	11832 product(c1,a) = product(a,b1).  [para(11814(a,1),192(a,2,2)),rewrite([19(5),37(3)]),flip(a)].
13.29/13.63	11901 difference(A,product(product(A,B),C)) = product(B,difference(A,C)).  [para(195(a,1),22(a,1,2))].
13.29/13.63	12098 product(product(A,a),product(a,b1)) = product(product(A,c1),a).  [para(11832(a,1),51(a,1,2))].
13.29/13.63	13958 product(a1,product(b1,bigA)) = product(c,product(a,c)).  [para(11442(a,1),211(a,1,2)),rewrite([10157(7),2677(4)]),flip(a)].
13.29/13.63	15498 m(product(A,B),B,product(B,difference(A,B))).  [hyper(26,a,262,a(flip)),rewrite([11901(4)])].
13.29/13.63	16589 product(product(bigC,b1),c1) = product(a,product(c,a)).  [para(9927(a,1),288(a,1,1)),rewrite([12098(7),2677(3),192(5)]),flip(a)].
13.29/13.63	23403 difference(product(A,B),B) = product(difference(A,B),B).  [para(9357(a,1),20(a,1,1)),flip(a)].
13.29/13.63	23404 quotient(difference(A,B),B) = difference(quotient(A,B),B).  [para(20(a,1),9357(a,1,1,1))].
13.29/13.63	23529 product(A,product(A,quotient(B,A))) = product(difference(B,A),A).  [back_rewrite(155),rewrite([23403(5)])].
13.29/13.63	27982 product(difference(bigA,b1),b1) = product(c,a).  [para(13958(a,1),6401(a,1,1)),rewrite([695(7),21(6),695(9),23529(10)]),flip(a)].
13.29/13.63	27983 quotient(product(c,a),b1) = difference(bigA,b1).  [para(27982(a,1),21(a,1,1))].
13.29/13.63	28282 product(b1,difference(bigA,b1)) = product(bigC,b1).  [para(16589(a,1),21(a,1,1)),rewrite([7452(7),27983(6)])].
13.29/13.63	28290 product(b1,difference(quotient(bigA,b1),b1)) = bigC.  [para(28282(a,1),695(a,1,1)),rewrite([21(5),23404(7)]),flip(a)].
13.29/13.63	28364 m(bigA,b1,bigC).  [para(28290(a,1),15498(a,3)),rewrite([20(5)])].
13.29/13.63	28365 $F # answer(goals).  [resolve(28364,a,25,a)].
13.29/13.63	
13.29/13.63	% SZS output end Refutation
13.29/13.63	============================== end of proof ==========================
13.29/13.63	
13.29/13.63	============================== STATISTICS ============================
13.29/13.63	
13.29/13.63	Given=2131. Generated=633363. Kept=28343. proofs=1.
13.29/13.63	Usable=1687. Sos=9999. Demods=7185. Limbo=11, Disabled=16669. Hints=0.
13.29/13.63	Megabytes=23.10.
13.29/13.63	User_CPU=12.21, System_CPU=0.37, Wall_clock=13.
13.29/13.63	
13.29/13.63	============================== end of statistics =====================
13.29/13.63	
13.29/13.63	============================== end of search =========================
13.29/13.63	
13.29/13.63	THEOREM PROVED
13.29/13.63	% SZS status Theorem
13.29/13.63	
13.29/13.63	Exiting with 1 proof.
13.29/13.63	
13.29/13.63	Process 10345 exit (max_proofs) Tue Jul 13 15:11:52 2021
13.29/13.63	Prover9 interrupted
13.29/13.63	EOF