0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : tptp2X_and_run_prover9 %d %s
0.12/0.34	% Computer   : n016.cluster.edu
0.12/0.34	% Model      : x86_64 x86_64
0.12/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory     : 8042.1875MB
0.12/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 1200
0.12/0.34	% DateTime   : Tue Jul 13 15:07:08 EDT 2021
0.12/0.34	% CPUTime    : 
0.44/1.22	============================== Prover9 ===============================
0.44/1.22	Prover9 (32) version 2009-11A, November 2009.
0.44/1.22	Process 20912 was started by sandbox on n016.cluster.edu,
0.44/1.22	Tue Jul 13 15:07:08 2021
0.44/1.22	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_20738_n016.cluster.edu".
0.44/1.22	============================== end of head ===========================
0.44/1.22	
0.44/1.22	============================== INPUT =================================
0.44/1.22	
0.44/1.22	% Reading from file /tmp/Prover9_20738_n016.cluster.edu
0.44/1.22	
0.44/1.22	set(prolog_style_variables).
0.44/1.22	set(auto2).
0.44/1.22	    % set(auto2) -> set(auto).
0.44/1.22	    % set(auto) -> set(auto_inference).
0.44/1.22	    % set(auto) -> set(auto_setup).
0.44/1.22	    % set(auto_setup) -> set(predicate_elim).
0.44/1.22	    % set(auto_setup) -> assign(eq_defs, unfold).
0.44/1.22	    % set(auto) -> set(auto_limits).
0.44/1.22	    % set(auto_limits) -> assign(max_weight, "100.000").
0.44/1.22	    % set(auto_limits) -> assign(sos_limit, 20000).
0.44/1.22	    % set(auto) -> set(auto_denials).
0.44/1.22	    % set(auto) -> set(auto_process).
0.44/1.22	    % set(auto2) -> assign(new_constants, 1).
0.44/1.22	    % set(auto2) -> assign(fold_denial_max, 3).
0.44/1.22	    % set(auto2) -> assign(max_weight, "200.000").
0.44/1.22	    % set(auto2) -> assign(max_hours, 1).
0.44/1.22	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.44/1.22	    % set(auto2) -> assign(max_seconds, 0).
0.44/1.22	    % set(auto2) -> assign(max_minutes, 5).
0.44/1.22	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.44/1.22	    % set(auto2) -> set(sort_initial_sos).
0.44/1.22	    % set(auto2) -> assign(sos_limit, -1).
0.44/1.22	    % set(auto2) -> assign(lrs_ticks, 3000).
0.44/1.22	    % set(auto2) -> assign(max_megs, 400).
0.44/1.22	    % set(auto2) -> assign(stats, some).
0.44/1.22	    % set(auto2) -> clear(echo_input).
0.44/1.22	    % set(auto2) -> set(quiet).
0.44/1.22	    % set(auto2) -> clear(print_initial_clauses).
0.44/1.22	    % set(auto2) -> clear(print_given).
0.44/1.22	assign(lrs_ticks,-1).
0.44/1.22	assign(sos_limit,10000).
0.44/1.22	assign(order,kbo).
0.44/1.22	set(lex_order_vars).
0.44/1.22	clear(print_given).
0.44/1.22	
0.44/1.22	% formulas(sos).  % not echoed (19 formulas)
0.44/1.22	
0.44/1.22	============================== end of input ==========================
0.44/1.22	
0.44/1.22	% From the command line: assign(max_seconds, 1200).
0.44/1.22	
0.44/1.22	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.44/1.22	
0.44/1.22	% Formulas that are not ordinary clauses:
0.44/1.22	1 (all A (g(A) -> product(eh,A) = A)) # label(sos05) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	2 (all B all A (h(A) -> h(opp(B)))) # label(sos10) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	3 (all A (g(A) -> h(f(A)))) # label(sos17) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	4 (all A (g(A) -> g(inv(A)))) # label(sos02) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	5 (all B all A sum(f(A),f(B)) = f(product(A,B))) # label(sos18) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	6 (all A (h(A) -> sum(A,opp(A)) = eg)) # label(sos15) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	7 (all A (h(A) -> sum(opp(A),A) = eg)) # label(sos16) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	8 (all B all A (h(B) & h(A) -> h(sum(A,B)))) # label(sos09) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	9 (all C all B all A (h(C) & h(B) & h(A) -> sum(A,sum(B,C)) = sum(sum(A,B),C))) # label(sos12) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	10 (all A (h(A) -> A = sum(A,eg))) # label(sos14) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	11 (all B all A (g(B) & g(A) -> g(product(A,B)))) # label(sos01) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	12 (all C all B all A (g(A) & g(B) & g(C) -> product(A,product(B,C)) = product(product(A,B),C))) # label(sos04) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	13 (all A (h(A) -> A = sum(eg,A))) # label(sos13) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	14 (all A (g(A) -> product(A,inv(A)) = eh)) # label(sos07) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	15 (all A (g(A) -> product(inv(A),A) = eh)) # label(sos08) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	16 (all A (g(A) -> product(A,eh) = A)) # label(sos06) # label(axiom) # label(non_clause).  [assumption].
0.44/1.22	17 -(all X0 (f(eh) = eg & (opp(f(X0)) = f(inv(X0)) | -g(X0)))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
0.44/1.22	
0.44/1.22	============================== end of process non-clausal formulas ===
7.76/8.29	
7.76/8.29	============================== PROCESS INITIAL CLAUSES ===============
7.76/8.29	
7.76/8.29	============================== PREDICATE ELIMINATION =================
7.76/8.29	
7.76/8.29	============================== end predicate elimination =============
7.76/8.29	
7.76/8.29	Auto_denials:
7.76/8.29	  % copying label goals to answer in negative clause
7.76/8.29	
7.76/8.29	Term ordering decisions:
7.76/8.29	Function symbol KB weights:  eg=1. eh=1. c1=1. product=1. sum=1. f=1. inv=1. opp=1.
7.76/8.29	
7.76/8.29	============================== end of process initial clauses ========
7.76/8.29	
7.76/8.29	============================== CLAUSES FOR SEARCH ====================
7.76/8.29	
7.76/8.29	============================== end of clauses for search =============
7.76/8.29	
7.76/8.29	============================== SEARCH ================================
7.76/8.29	
7.76/8.29	% Starting search at 0.01 seconds.
7.76/8.29	
7.76/8.29	Low Water (keep): wt=57.000, iters=3359
7.76/8.29	
7.76/8.29	Low Water (keep): wt=54.000, iters=3398
7.76/8.29	
7.76/8.29	Low Water (keep): wt=52.000, iters=3512
7.76/8.29	
7.76/8.29	Low Water (keep): wt=50.000, iters=3401
7.76/8.29	
7.76/8.29	Low Water (keep): wt=49.000, iters=3370
7.76/8.29	
7.76/8.29	Low Water (keep): wt=48.000, iters=3353
7.76/8.29	
7.76/8.29	Low Water (keep): wt=47.000, iters=3373
7.76/8.29	
7.76/8.29	Low Water (keep): wt=46.000, iters=3356
7.76/8.29	
7.76/8.29	Low Water (keep): wt=45.000, iters=3352
7.76/8.29	
7.76/8.29	Low Water (keep): wt=44.000, iters=3452
7.76/8.29	
7.76/8.29	Low Water (keep): wt=43.000, iters=3375
7.76/8.29	
7.76/8.29	Low Water (keep): wt=42.000, iters=3348
7.76/8.29	
7.76/8.29	Low Water (keep): wt=41.000, iters=3405
7.76/8.29	
7.76/8.29	Low Water (keep): wt=40.000, iters=3344
7.76/8.29	
7.76/8.29	Low Water (keep): wt=39.000, iters=3348
7.76/8.29	
7.76/8.29	Low Water (keep): wt=38.000, iters=3371
7.76/8.29	
7.76/8.29	Low Water (displace): id=20791, wt=20.000
7.76/8.29	
7.76/8.29	Low Water (displace): id=20792, wt=19.000
7.76/8.29	
7.76/8.29	============================== PROOF =================================
7.76/8.29	% SZS status Theorem
7.76/8.29	% SZS output start Refutation
7.76/8.29	
7.76/8.29	% Proof 1 at 7.00 (+ 0.09) seconds: goals.
7.76/8.29	% Length of proof is 57.
7.76/8.29	% Level of proof is 12.
7.76/8.29	% Maximum clause weight is 17.000.
7.76/8.29	% Given clauses 168.
7.76/8.29	
7.76/8.29	1 (all A (g(A) -> product(eh,A) = A)) # label(sos05) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	2 (all B all A (h(A) -> h(opp(B)))) # label(sos10) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	3 (all A (g(A) -> h(f(A)))) # label(sos17) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	4 (all A (g(A) -> g(inv(A)))) # label(sos02) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	5 (all B all A sum(f(A),f(B)) = f(product(A,B))) # label(sos18) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	6 (all A (h(A) -> sum(A,opp(A)) = eg)) # label(sos15) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	9 (all C all B all A (h(C) & h(B) & h(A) -> sum(A,sum(B,C)) = sum(sum(A,B),C))) # label(sos12) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	10 (all A (h(A) -> A = sum(A,eg))) # label(sos14) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	12 (all C all B all A (g(A) & g(B) & g(C) -> product(A,product(B,C)) = product(product(A,B),C))) # label(sos04) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	13 (all A (h(A) -> A = sum(eg,A))) # label(sos13) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	14 (all A (g(A) -> product(A,inv(A)) = eh)) # label(sos07) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	15 (all A (g(A) -> product(inv(A),A) = eh)) # label(sos08) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	16 (all A (g(A) -> product(A,eh) = A)) # label(sos06) # label(axiom) # label(non_clause).  [assumption].
7.76/8.29	17 -(all X0 (f(eh) = eg & (opp(f(X0)) = f(inv(X0)) | -g(X0)))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
7.76/8.29	18 g(eh) # label(sos03) # label(axiom).  [assumption].
7.76/8.29	19 h(eg) # label(sos11) # label(axiom).  [assumption].
7.76/8.29	20 sum(f(A),f(B)) = f(product(A,B)) # label(sos18) # label(axiom).  [clausify(5)].
7.76/8.29	21 f(eh) != eg | f(inv(c1)) != opp(f(c1)) # label(goals) # label(negated_conjecture) # answer(goals).  [clausify(17)].
7.76/8.29	22 f(eh) != eg | opp(f(c1)) != f(inv(c1)) # answer(goals).  [copy(21),flip(b)].
7.76/8.29	23 -h(A) | h(opp(B)) # label(sos10) # label(axiom).  [clausify(2)].
7.76/8.29	24 -g(A) | h(f(A)) # label(sos17) # label(axiom).  [clausify(3)].
7.76/8.29	25 -g(A) | g(inv(A)) # label(sos02) # label(axiom).  [clausify(4)].
7.76/8.29	26 f(eh) != eg | g(c1) # label(goals) # label(negated_conjecture).  [clausify(17)].
7.76/8.29	27 -g(A) | product(eh,A) = A # label(sos05) # label(axiom).  [clausify(1)].
7.76/8.29	28 -h(A) | sum(A,eg) = A # label(sos14) # label(axiom).  [clausify(10)].
7.76/8.29	29 -h(A) | sum(eg,A) = A # label(sos13) # label(axiom).  [clausify(13)].
7.76/8.29	30 -g(A) | product(A,eh) = A # label(sos06) # label(axiom).  [clausify(16)].
7.76/8.29	31 -h(A) | sum(A,opp(A)) = eg # label(sos15) # label(axiom).  [clausify(6)].
7.76/8.29	35 -g(A) | product(A,inv(A)) = eh # label(sos07) # label(axiom).  [clausify(14)].
7.76/8.29	36 -g(A) | product(inv(A),A) = eh # label(sos08) # label(axiom).  [clausify(15)].
7.76/8.29	37 -h(A) | -h(B) | -h(C) | sum(sum(C,B),A) = sum(C,sum(B,A)) # label(sos12) # label(axiom).  [clausify(9)].
7.76/8.29	38 -g(A) | -g(B) | -g(C) | product(product(A,B),C) = product(A,product(B,C)) # label(sos04) # label(axiom).  [clausify(12)].
7.76/8.29	39 h(opp(A)).  [hyper(23,a,19,a)].
7.76/8.29	40 h(f(eh)).  [hyper(24,a,18,a)].
7.76/8.29	42 product(eh,eh) = eh.  [hyper(27,a,18,a)].
7.76/8.29	60 sum(eg,opp(A)) = opp(A).  [hyper(29,a,39,a)].
7.76/8.29	67 sum(f(eh),sum(f(eh),opp(A))) = sum(f(eh),opp(A)).  [hyper(37,a,39,a,b,40,a,c,40,a),rewrite([20(5),42(3)]),flip(a)].
7.76/8.29	88 sum(f(eh),opp(f(eh))) = eg.  [hyper(31,a,40,a)].
7.76/8.29	90 sum(f(eh),eg) = f(eh).  [hyper(28,a,40,a)].
7.76/8.29	6964 f(eh) = eg.  [para(88(a,1),67(a,1,2)),rewrite([90(4),88(8)])].
7.76/8.29	6965 g(c1).  [back_rewrite(26),rewrite([6964(2)]),xx(a)].
7.76/8.29	6966 opp(f(c1)) != f(inv(c1)) # answer(goals).  [back_rewrite(22),rewrite([6964(2)]),xx(a)].
7.76/8.29	6974 product(inv(c1),c1) = eh.  [hyper(36,a,6965,a)].
7.76/8.29	6975 product(c1,inv(c1)) = eh.  [hyper(35,a,6965,a)].
7.76/8.29	6981 g(inv(c1)).  [hyper(25,a,6965,a)].
7.76/8.29	6982 h(f(c1)).  [hyper(24,a,6965,a)].
7.76/8.29	6986 product(inv(c1),eh) = product(eh,inv(c1)).  [hyper(38,a,6981,a,b,6965,a,c,6981,a),rewrite([6974(4),6975(10)]),flip(a)].
7.76/8.29	6993 product(product(inv(c1),inv(c1)),c1) = product(eh,inv(c1)).  [hyper(38,a,6981,a,b,6981,a,c,6965,a),rewrite([6974(13),6986(11)])].
7.76/8.29	7002 product(eh,inv(c1)) = inv(c1).  [hyper(30,a,6981,a),rewrite([6986(4)])].
7.76/8.29	7004 h(f(inv(c1))).  [hyper(24,a,6981,a)].
7.76/8.29	7005 product(product(inv(c1),inv(c1)),c1) = inv(c1).  [back_rewrite(6993),rewrite([7002(11)])].
7.76/8.29	7112 sum(f(c1),opp(f(c1))) = eg.  [hyper(31,a,6982,a)].
7.76/8.29	7236 sum(f(inv(c1)),eg) = sum(eg,f(inv(c1))).  [hyper(37,a,7004,a,b,6982,a,c,7004,a),rewrite([20(6),6974(4),6964(2),20(14),6975(12),6964(10)]),flip(a)].
7.76/8.29	7242 sum(eg,f(inv(c1))) = f(inv(c1)).  [hyper(37,a,6982,a,b,7004,a,c,7004,a),rewrite([20(7),20(9),7005(7),20(12),6974(10),6964(8),7236(8)]),flip(a)].
7.76/8.29	7266 sum(f(inv(c1)),sum(f(c1),opp(A))) = opp(A).  [hyper(37,a,39,a,b,6982,a,c,7004,a),rewrite([20(6),6974(4),6964(2),60(3)]),flip(a)].
7.76/8.29	7352 sum(f(inv(c1)),eg) = f(inv(c1)).  [back_rewrite(7236),rewrite([7242(10)])].
7.76/8.29	21339 $F # answer(goals).  [para(7112(a,1),7266(a,1,2)),rewrite([7352(5)]),flip(a),unit_del(a,6966)].
7.76/8.29	
7.76/8.29	% SZS output end Refutation
7.76/8.29	============================== end of proof ==========================
7.76/8.29	
7.76/8.29	============================== STATISTICS ============================
7.76/8.29	
7.76/8.29	Given=168. Generated=118678. Kept=21320. proofs=1.
7.76/8.29	Usable=140. Sos=9997. Demods=9263. Limbo=0, Disabled=11203. Hints=0.
7.76/8.29	Megabytes=31.69.
7.76/8.29	User_CPU=7.00, System_CPU=0.09, Wall_clock=8.
7.76/8.29	
7.76/8.29	============================== end of statistics =====================
7.76/8.29	
7.76/8.29	============================== end of search =========================
7.76/8.29	
7.76/8.29	THEOREM PROVED
7.76/8.29	% SZS status Theorem
7.76/8.29	
7.76/8.29	Exiting with 1 proof.
7.76/8.29	
7.76/8.29	Process 20912 exit (max_proofs) Tue Jul 13 15:07:16 2021
7.76/8.29	Prover9 interrupted
7.76/8.29	EOF