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 0.13/0.33 % Computer : n011.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 180 0.13/0.33 % DateTime : Thu Aug 29 13:18:42 EDT 2019 0.13/0.34 % CPUTime : 2.05/2.39 ============================== Prover9 =============================== 2.05/2.39 Prover9 (32) version 2009-11A, November 2009. 2.05/2.39 Process 7889 was started by sandbox2 on n011.cluster.edu, 2.05/2.39 Thu Aug 29 13:18:43 2019 2.05/2.39 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 180 -f /tmp/Prover9_7735_n011.cluster.edu". 2.05/2.39 ============================== end of head =========================== 2.05/2.39 2.05/2.39 ============================== INPUT ================================= 2.05/2.39 2.05/2.39 % Reading from file /tmp/Prover9_7735_n011.cluster.edu 2.05/2.39 2.05/2.39 set(prolog_style_variables). 2.05/2.39 set(auto2). 2.05/2.39 % set(auto2) -> set(auto). 2.05/2.39 % set(auto) -> set(auto_inference). 2.05/2.39 % set(auto) -> set(auto_setup). 2.05/2.39 % set(auto_setup) -> set(predicate_elim). 2.05/2.39 % set(auto_setup) -> assign(eq_defs, unfold). 2.05/2.39 % set(auto) -> set(auto_limits). 2.05/2.39 % set(auto_limits) -> assign(max_weight, "100.000"). 2.05/2.39 % set(auto_limits) -> assign(sos_limit, 20000). 2.05/2.39 % set(auto) -> set(auto_denials). 2.05/2.39 % set(auto) -> set(auto_process). 2.05/2.39 % set(auto2) -> assign(new_constants, 1). 2.05/2.39 % set(auto2) -> assign(fold_denial_max, 3). 2.05/2.39 % set(auto2) -> assign(max_weight, "200.000"). 2.05/2.39 % set(auto2) -> assign(max_hours, 1). 2.05/2.39 % assign(max_hours, 1) -> assign(max_seconds, 3600). 2.05/2.39 % set(auto2) -> assign(max_seconds, 0). 2.05/2.39 % set(auto2) -> assign(max_minutes, 5). 2.05/2.39 % assign(max_minutes, 5) -> assign(max_seconds, 300). 2.05/2.39 % set(auto2) -> set(sort_initial_sos). 2.05/2.39 % set(auto2) -> assign(sos_limit, -1). 2.05/2.39 % set(auto2) -> assign(lrs_ticks, 3000). 2.05/2.39 % set(auto2) -> assign(max_megs, 400). 2.05/2.39 % set(auto2) -> assign(stats, some). 2.05/2.39 % set(auto2) -> clear(echo_input). 2.05/2.39 % set(auto2) -> set(quiet). 2.05/2.39 % set(auto2) -> clear(print_initial_clauses). 2.05/2.39 % set(auto2) -> clear(print_given). 2.05/2.39 assign(lrs_ticks,-1). 2.05/2.39 assign(sos_limit,10000). 2.05/2.39 assign(order,kbo). 2.05/2.39 set(lex_order_vars). 2.05/2.39 clear(print_given). 2.05/2.39 2.05/2.39 % formulas(sos). % not echoed (6 formulas) 2.05/2.39 2.05/2.39 ============================== end of input ========================== 2.05/2.39 2.05/2.39 % From the command line: assign(max_seconds, 180). 2.05/2.39 2.05/2.39 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 2.05/2.39 2.05/2.39 % Formulas that are not ordinary clauses: 2.05/2.39 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]. 2.05/2.39 2 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 2.05/2.39 3 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 2.05/2.39 4 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 2.05/2.39 5 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 2.05/2.39 6 -(all X0 all X1 (X0 = mult(X0,ld(X1,X1)) & mult(ld(X1,X1),X0) = X0)) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption]. 2.05/2.39 2.05/2.39 ============================== end of process non-clausal formulas === 2.05/2.39 2.05/2.39 ============================== PROCESS INITIAL CLAUSES =============== 2.05/2.39 2.05/2.39 ============================== PREDICATE ELIMINATION ================= 2.05/2.39 2.05/2.39 ============================== end predicate elimination ============= 2.05/2.39 2.05/2.39 Auto_denials: 2.05/2.39 % copying label goals to answer in negative clause 2.05/2.39 2.05/2.39 Term ordering decisions: 2.05/2.39 Function symbol KB weights: c1=1. c2=1. mult=1. ld=1. rd=1. 2.05/2.39 2.05/2.39 ============================== end of process initial clauses ======== 2.05/2.39 2.05/2.39 ============================== CLAUSES FOR SEARCH ==================== 2.05/2.39 2.05/2.39 ============================== end of clauses for search ============= 2.05/2.39 2.05/2.39 ============================== SEARCH ================================ 2.05/2.39 2.05/2.39 % Starting search at 0.01 seconds. 2.05/2.39 2.05/2.39 Low Water (keep): wt=95.000, iters=3361 2.05/2.39 2.05/2.39 Low Water (keep): wt=91.000, iters=3351 2.05/2.39 2.05/2.39 Low Water (keep): wt=79.000, iters=3372 2.05/2.39 2.05/2.39 Low Water (keep): wt=75.000, iters=3369 2.05/2.39 2.05/2.39 Low Water (keep): wt=71.000, iters=3452 2.05/2.39 2.05/2.39 Low Water (keep): wt=67.000, iters=3366 2.05/2.39 2.05/2.39 Low Water (keep): wt=63.000, iters=3420 2.05/2.39 2.05/2.39 Low Water (keep): wt=59.000, iters=3406 2.05/2.39 2.05/2.39 Low Water (keep): wt=55.000, iters=3353 2.05/2.39 2.05/2.39 Low Water (keep): wt=51.000, iters=3335 2.05/2.39 2.05/2.39 Low Water (keep): wt=47.000, iters=3337 2.05/2.39 2.05/2.39 Low Water (keep): wt=43.000, iters=3368 2.05/2.39 2.05/2.39 Low Water (keep): wt=39.000, iters=3383 16.34/16.66 16.34/16.66 Low Water (keep): wt=35.000, iters=3345 16.34/16.66 16.34/16.66 Low Water (keep): wt=31.000, iters=3342 16.34/16.66 16.34/16.66 Low Water (displace): id=3931, wt=191.000 16.34/16.66 16.34/16.66 Low Water (displace): id=5831, wt=183.000 16.34/16.66 16.34/16.66 Low Water (displace): id=3929, wt=179.000 16.34/16.66 16.34/16.66 Low Water (displace): id=3922, wt=171.000 16.34/16.66 16.34/16.66 Low Water (displace): id=4214, wt=167.000 16.34/16.66 16.34/16.66 Low Water (displace): id=3893, wt=159.000 16.34/16.66 16.34/16.66 Low Water (displace): id=5885, wt=151.000 16.34/16.66 16.34/16.66 Low Water (displace): id=5874, wt=147.000 16.34/16.66 16.34/16.66 Low Water (displace): id=5892, wt=143.000 16.34/16.66 16.34/16.66 Low Water (displace): id=5868, wt=139.000 16.34/16.66 16.34/16.66 Low Water (displace): id=3896, wt=135.000 16.34/16.66 16.34/16.66 Low Water (displace): id=5867, wt=131.000 16.34/16.66 16.34/16.66 Low Water (displace): id=6695, wt=127.000 16.34/16.66 16.34/16.66 Low Water (displace): id=5784, wt=123.000 16.34/16.66 16.34/16.66 Low Water (displace): id=6240, wt=119.000 16.34/16.66 16.34/16.66 Low Water (displace): id=12723, wt=23.000 16.34/16.66 16.34/16.66 Low Water (displace): id=13153, wt=19.000 16.34/16.66 16.34/16.66 Low Water (keep): wt=27.000, iters=3368 16.34/16.66 16.34/16.66 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 41 (0.00 of 7.77 sec). 16.34/16.66 16.34/16.66 ============================== PROOF ================================= 16.34/16.66 % SZS status Theorem 16.34/16.66 % SZS output start Refutation 16.34/16.66 16.34/16.66 % Proof 1 at 15.31 (+ 0.37) seconds: goals. 16.34/16.66 % Length of proof is 202. 16.34/16.66 % Level of proof is 40. 16.34/16.66 % Maximum clause weight is 27.000. 16.34/16.66 % Given clauses 709. 16.34/16.66 16.34/16.66 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]. 16.34/16.66 2 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 16.34/16.66 3 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 16.34/16.66 4 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 16.34/16.66 5 (all B all A ld(A,mult(A,B)) = B) # label(f02) # label(axiom) # label(non_clause). [assumption]. 16.34/16.66 6 -(all X0 all X1 (X0 = mult(X0,ld(X1,X1)) & mult(ld(X1,X1),X0) = X0)) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption]. 16.34/16.66 7 rd(mult(A,B),B) = A # label(f04) # label(axiom). [clausify(2)]. 16.34/16.66 8 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(3)]. 16.34/16.66 9 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(4)]. 16.34/16.66 10 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(5)]. 16.34/16.66 11 mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))) # label(f05) # label(axiom). [clausify(1)]. 16.34/16.66 12 mult(c1,ld(c2,c2)) != c1 | mult(ld(c2,c2),c1) != c1 # label(goals) # label(negated_conjecture) # answer(goals). [clausify(6)]. 16.34/16.66 13 rd(A,ld(B,A)) = B. [para(9(a,1),7(a,1,1))]. 16.34/16.66 14 ld(rd(A,B),A) = B. [para(8(a,1),10(a,1,2))]. 16.34/16.66 15 rd(mult(A,mult(B,mult(C,B))),B) = mult(mult(A,B),C). [para(11(a,1),7(a,1,1))]. 16.34/16.66 16 mult(rd(A,B),mult(B,mult(C,B))) = mult(mult(A,C),B). [para(8(a,1),11(a,1,1,1)),flip(a)]. 16.34/16.66 17 mult(A,mult(ld(A,B),mult(C,ld(A,B)))) = mult(mult(B,C),ld(A,B)). [para(9(a,1),11(a,1,1,1)),flip(a)]. 16.34/16.66 18 mult(A,mult(B,mult(ld(mult(A,B),C),B))) = mult(C,B). [para(9(a,1),11(a,1,1)),flip(a)]. 16.34/16.66 19 ld(mult(mult(A,B),C),mult(A,mult(B,mult(C,B)))) = B. [para(11(a,1),10(a,1,2))]. 16.34/16.66 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))]. 16.34/16.66 23 rd(mult(A,mult(B,C)),B) = mult(mult(A,B),rd(C,B)). [para(8(a,1),15(a,1,1,2,2))]. 16.34/16.66 24 mult(mult(rd(A,mult(B,mult(C,B))),B),C) = rd(A,B). [para(8(a,1),15(a,1,1)),flip(a)]. 16.34/16.66 25 rd(mult(mult(A,B),C),mult(C,mult(B,C))) = rd(A,C). [para(16(a,1),7(a,1,1))]. 16.34/16.66 26 mult(mult(A,rd(B,C)),C) = mult(rd(A,C),mult(C,B)). [para(8(a,1),16(a,1,2,2)),flip(a)]. 16.34/16.66 28 ld(rd(A,B),mult(mult(A,C),B)) = mult(B,mult(C,B)). [para(16(a,1),10(a,1,2))]. 16.34/16.66 33 mult(A,mult(ld(mult(B,A),C),A)) = ld(B,mult(C,A)). [para(18(a,1),10(a,1,2)),flip(a)]. 16.34/16.66 35 mult(mult(A,B),ld(B,A)) = mult(B,mult(ld(B,A),A)). [para(9(a,1),17(a,1,2,2)),flip(a)]. 16.34/16.66 36 ld(A,mult(mult(B,C),ld(A,B))) = mult(ld(A,B),mult(C,ld(A,B))). [para(17(a,1),10(a,1,2))]. 16.34/16.66 41 ld(mult(mult(A,ld(B,C)),B),mult(A,mult(ld(B,C),C))) = ld(B,C). [para(9(a,1),19(a,1,2,2,2))]. 16.34/16.66 48 mult(mult(rd(A,mult(B,C)),B),rd(C,B)) = rd(A,B). [para(8(a,1),23(a,1,1)),flip(a)]. 16.34/16.66 49 mult(mult(A,B),rd(ld(B,C),B)) = rd(mult(A,C),B). [para(9(a,1),23(a,1,1,2)),flip(a)]. 16.34/16.66 56 mult(rd(A,mult(B,mult(C,B))),B) = rd(rd(A,B),C). [para(24(a,1),7(a,1,1)),flip(a)]. 16.34/16.66 62 rd(mult(A,B),mult(B,mult(C,B))) = rd(rd(A,C),B). [para(8(a,1),25(a,1,1,1))]. 16.34/16.66 98 ld(rd(A,B),mult(C,B)) = mult(B,mult(ld(A,C),B)). [para(9(a,1),28(a,1,2,1))]. 16.34/16.66 103 rd(ld(A,mult(B,C)),mult(ld(mult(A,C),B),C)) = C. [para(33(a,1),7(a,1,1))]. 16.34/16.66 105 ld(A,ld(B,mult(C,A))) = mult(ld(mult(B,A),C),A). [para(33(a,1),10(a,1,2))]. 16.34/16.66 123 mult(ld(A,B),mult(ld(ld(A,B),A),A)) = mult(B,ld(ld(A,B),A)). [para(9(a,1),35(a,1,1)),flip(a)]. 16.34/16.66 187 rd(rd(A,B),rd(C,B)) = mult(rd(A,mult(B,C)),B). [para(48(a,1),7(a,1,1))]. 16.34/16.66 188 ld(mult(rd(A,mult(B,C)),B),rd(A,B)) = rd(C,B). [para(48(a,1),10(a,1,2))]. 16.34/16.66 207 rd(mult(rd(A,B),C),B) = mult(A,rd(ld(B,C),B)). [para(8(a,1),49(a,1,1)),flip(a)]. 16.34/16.66 209 ld(mult(A,B),rd(mult(A,C),B)) = rd(ld(B,C),B). [para(49(a,1),10(a,1,2))]. 16.34/16.66 231 ld(rd(A,mult(B,mult(C,B))),rd(rd(A,B),C)) = B. [para(56(a,1),10(a,1,2))]. 16.34/16.66 304 rd(rd(A,rd(B,C)),C) = rd(mult(A,C),mult(C,B)). [para(8(a,1),62(a,1,2,2)),flip(a)]. 16.34/16.66 346 mult(A,mult(ld(B,rd(C,A)),A)) = ld(rd(B,A),C). [para(8(a,1),98(a,1,2)),flip(a)]. 16.34/16.66 359 rd(A,mult(ld(mult(B,A),B),A)) = A. [para(10(a,1),103(a,1,1))]. 16.34/16.66 402 rd(A,mult(ld(B,rd(B,A)),A)) = A. [para(8(a,1),359(a,1,2,1,1))]. 16.34/16.66 405 mult(ld(mult(A,B),A),B) = ld(B,B). [para(359(a,1),14(a,1,1)),flip(a)]. 16.34/16.66 417 mult(ld(A,rd(A,B)),B) = ld(B,B). [para(402(a,1),14(a,1,1)),flip(a)]. 16.34/16.66 421 ld(mult(A,B),A) = rd(ld(B,B),B). [para(405(a,1),7(a,1,1)),flip(a)]. 16.34/16.66 422 ld(ld(A,B),ld(A,B)) = mult(ld(B,A),ld(A,B)). [para(9(a,1),405(a,1,1,1)),flip(a)]. 16.34/16.66 423 ld(ld(mult(A,B),A),ld(B,B)) = B. [para(405(a,1),10(a,1,2))]. 16.34/16.66 455 ld(A,rd(A,B)) = rd(ld(B,B),B). [para(417(a,1),7(a,1,1)),flip(a)]. 16.34/16.66 456 ld(ld(A,rd(A,B)),ld(B,B)) = B. [para(417(a,1),10(a,1,2))]. 16.34/16.66 461 mult(mult(A,ld(B,rd(B,C))),rd(C,ld(B,rd(B,C)))) = rd(mult(A,ld(C,C)),ld(B,rd(B,C))). [para(417(a,1),23(a,1,1,2)),flip(a)]. 16.34/16.66 473 rd(rd(A,B),ld(C,rd(C,B))) = A. [para(417(a,1),56(a,1,1,2,2)),rewrite([9(2),8(2)]),flip(a)]. 16.34/16.66 522 ld(mult(A,mult(B,mult(C,B))),mult(mult(A,B),C)) = rd(ld(B,B),B). [para(11(a,1),421(a,1,1))]. 16.34/16.66 523 rd(A,rd(ld(B,B),B)) = mult(A,B). [para(421(a,1),13(a,1,2))]. 16.34/16.66 531 ld(mult(rd(A,B),mult(B,C)),mult(A,rd(C,B))) = rd(ld(B,B),B). [para(26(a,1),421(a,1,1))]. 16.34/16.66 534 ld(mult(A,mult(ld(A,B),B)),mult(B,A)) = ld(B,A). [para(35(a,1),421(a,1,1)),rewrite([422(8),7(10)])]. 16.34/16.66 536 mult(A,ld(mult(B,C),B)) = rd(A,C). [para(421(a,2),48(a,1,2)),rewrite([9(2),8(2)])]. 16.34/16.66 540 rd(ld(mult(A,B),A),C) = rd(rd(ld(B,B),B),C). [para(421(a,2),56(a,2,1)),rewrite([56(5)]),flip(a)]. 16.34/16.66 552 ld(mult(A,B),A) = ld(mult(C,B),C). [para(421(a,2),421(a,2))]. 16.34/16.66 564 mult(A,rd(ld(B,B),B)) = rd(A,B). [para(455(a,1),9(a,1,2))]. 16.34/16.66 573 mult(A,ld(B,rd(B,C))) = rd(A,C). [para(455(a,2),48(a,1,2)),rewrite([9(2),8(2)])]. 16.34/16.66 583 ld(mult(A,B),A) = ld(C,rd(C,B)). [para(455(a,2),421(a,2))]. 16.34/16.66 584 ld(A,rd(A,B)) = ld(C,rd(C,B)). [para(455(a,2),455(a,2))]. 16.34/16.66 589 rd(mult(A,ld(B,B)),ld(C,rd(C,B))) = mult(rd(A,B),rd(B,ld(C,rd(C,B)))). [back_rewrite(461),rewrite([573(3)]),flip(a)]. 16.34/16.66 634 rd(A,ld(B,rd(B,C))) = mult(A,C). [para(7(a,1),473(a,1,1))]. 16.34/16.66 635 rd(rd(A,ld(B,C)),ld(C,B)) = A. [para(13(a,1),473(a,1,2,2))]. 16.34/16.66 648 mult(mult(A,ld(B,B)),B) = mult(rd(A,B),mult(B,B)). [back_rewrite(589),rewrite([634(5),634(7)])]. 16.34/16.66 659 ld(rd(ld(A,A),A),rd(ld(A,A),A)) = rd(A,A). [para(523(a,1),417(a,1,1,2)),rewrite([10(2),564(3)]),flip(a)]. 16.34/16.66 661 rd(ld(A,A),A) = ld(A,rd(A,A)). [para(523(a,1),456(a,1,1,2)),rewrite([10(2),659(5)]),flip(a)]. 16.34/16.66 687 rd(ld(mult(A,B),A),C) = rd(ld(B,rd(B,B)),C). [back_rewrite(540),rewrite([661(5)])]. 16.34/16.66 690 ld(mult(rd(A,B),mult(B,C)),mult(A,rd(C,B))) = ld(B,rd(B,B)). [back_rewrite(531),rewrite([661(8)])]. 16.34/16.66 694 ld(mult(A,mult(B,mult(C,B))),mult(mult(A,B),C)) = ld(B,rd(B,B)). [back_rewrite(522),rewrite([661(8)])]. 16.34/16.66 695 rd(A,ld(B,C)) = mult(A,ld(C,B)). [para(9(a,1),536(a,1,2,1)),flip(a)]. 16.34/16.66 697 mult(A,mult(B,mult(ld(mult(C,D),C),B))) = mult(rd(mult(A,B),D),B). [para(536(a,1),11(a,1,1)),flip(a)]. 16.34/16.66 712 rd(A,rd(ld(B,C),B)) = mult(rd(mult(A,B),C),B). [para(49(a,1),536(a,1,2,1)),rewrite([98(4),697(5)]),flip(a)]. 16.34/16.66 716 mult(ld(mult(A,B),A),rd(ld(C,D),B)) = ld(mult(C,B),rd(D,B)). [para(536(a,1),98(a,1,2)),rewrite([695(3),10(2),536(9)]),flip(a)]. 16.34/16.66 724 mult(mult(A,ld(B,C)),ld(C,B)) = A. [back_rewrite(635),rewrite([695(2),695(4)])]. 16.34/16.66 785 ld(mult(A,ld(B,C)),A) = ld(C,B). [para(9(a,1),552(a,1,1)),flip(a)]. 16.34/16.66 817 mult(ld(mult(A,B),A),rd(C,B)) = rd(ld(B,C),B). [para(536(a,1),36(a,1,2)),rewrite([209(4),536(7)]),flip(a)]. 16.34/16.66 819 rd(ld(A,ld(B,C)),A) = ld(mult(B,A),rd(C,A)). [back_rewrite(716),rewrite([817(5)])]. 16.34/16.66 887 mult(mult(A,mult(B,ld(C,D))),ld(D,C)) = mult(mult(A,ld(C,D)),mult(ld(D,C),B)). [para(695(a,1),26(a,1,1,2)),rewrite([695(7)])]. 16.34/16.66 893 ld(mult(A,ld(B,C)),mult(D,ld(C,B))) = mult(ld(C,B),mult(ld(A,D),ld(C,B))). [para(695(a,1),98(a,1,1))]. 16.34/16.66 922 mult(ld(mult(A,B),rd(C,B)),B) = ld(B,ld(A,C)). [para(8(a,1),105(a,1,2,2)),flip(a)]. 16.34/16.66 940 mult(ld(mult(A,B),ld(mult(C,B),C)),B) = ld(B,ld(A,ld(B,B))). [para(405(a,1),105(a,1,2,2)),flip(a)]. 16.34/16.66 953 mult(mult(ld(A,B),ld(A,B)),mult(ld(B,A),ld(C,D))) = ld(ld(B,A),ld(C,D)). [para(724(a,1),105(a,1,2,2)),rewrite([893(8),887(10)]),flip(a)]. 16.34/16.66 983 ld(mult(A,mult(ld(B,C),C)),mult(mult(A,ld(B,C)),B)) = ld(C,B). [para(41(a,1),785(a,1,1,2)),rewrite([785(3)]),flip(a)]. 16.34/16.66 1012 rd(mult(A,ld(B,B)),B) = rd(mult(A,B),mult(B,B)). [para(405(a,1),187(a,2,1,2)),rewrite([695(3),10(2),695(4),10(3),695(5),536(8)]),flip(a)]. 16.34/16.66 1026 mult(ld(A,B),mult(mult(ld(B,A),C),ld(A,B))) = mult(C,ld(A,B)). [para(695(a,1),188(a,1,2)),rewrite([893(8),14(5),695(8)])]. 16.34/16.66 1100 mult(ld(ld(A,B),C),ld(B,A)) = mult(ld(B,A),mult(C,ld(B,A))). [para(9(a,1),209(a,1,1)),rewrite([695(3),36(4),695(8)]),flip(a)]. 16.34/16.66 1130 mult(ld(ld(mult(A,B),A),C),B) = mult(B,mult(C,B)). [para(536(a,1),209(a,1,1)),rewrite([695(5),10(4),98(4),10(2),695(8),10(7)]),flip(a)]. 16.34/16.66 1159 ld(rd(A,mult(ld(B,C),C)),rd(mult(A,ld(C,B)),B)) = ld(B,C). [para(9(a,1),231(a,1,1,2,2)),rewrite([695(5)])]. 16.34/16.66 1366 ld(ld(A,B),ld(B,A)) = mult(ld(B,A),ld(B,A)). [para(422(a,1),35(a,1,2)),rewrite([953(7),422(7),1026(10)])]. 16.34/16.66 1445 ld(mult(A,mult(ld(A,A),A)),mult(A,mult(A,A))) = A. [para(405(a,1),534(a,1,1,2)),rewrite([35(3),10(8)])]. 16.34/16.66 1473 mult(A,rd(B,B)) = mult(A,ld(B,B)). [para(648(a,1),7(a,1,1)),rewrite([23(4),8(2)])]. 16.34/16.66 1474 mult(rd(A,A),mult(A,A)) = mult(A,A). [para(9(a,1),648(a,1,1)),flip(a)]. 16.34/16.66 1529 rd(A,A) = ld(A,A). [para(1473(a,1),10(a,1,2)),rewrite([10(3)]),flip(a)]. 16.34/16.66 1534 mult(ld(A,A),mult(A,A)) = mult(A,A). [back_rewrite(1474),rewrite([1529(1)])]. 16.34/16.66 1566 ld(mult(A,mult(B,mult(C,B))),mult(mult(A,B),C)) = ld(B,ld(B,B)). [back_rewrite(694),rewrite([1529(7)])]. 16.34/16.66 1569 ld(mult(rd(A,B),mult(B,C)),mult(A,rd(C,B))) = ld(B,ld(B,B)). [back_rewrite(690),rewrite([1529(7)])]. 16.34/16.66 1571 rd(ld(mult(A,B),A),C) = rd(ld(B,ld(B,B)),C). [back_rewrite(687),rewrite([1529(4)])]. 16.34/16.66 1582 rd(ld(A,A),A) = ld(A,ld(A,A)). [back_rewrite(661),rewrite([1529(3)])]. 16.34/16.66 1585 mult(ld(A,A),A) = A. [para(1529(a,1),8(a,1,1))]. 16.34/16.66 1586 ld(ld(A,A),A) = A. [para(1529(a,1),14(a,1,1))]. 16.34/16.66 1588 mult(mult(ld(mult(A,B),mult(A,B)),A),rd(B,A)) = rd(mult(A,B),A). [para(1529(a,1),48(a,1,1,1))]. 16.34/16.66 1590 ld(rd(A,B),rd(A,B)) = mult(rd(A,mult(B,A)),B). [para(1529(a,1),56(a,2)),rewrite([8(2)]),flip(a)]. 16.34/16.66 1593 mult(ld(A,ld(A,A)),A) = ld(A,A). [para(1529(a,1),417(a,1,1,2))]. 16.34/16.66 1596 mult(A,ld(B,ld(B,B))) = rd(A,B). [para(1529(a,1),573(a,1,2,2))]. 16.34/16.66 1597 ld(mult(A,B),A) = ld(B,ld(B,B)). [para(1529(a,1),583(a,2,2))]. 16.34/16.66 1598 ld(A,ld(A,A)) = ld(B,rd(B,A)). [para(1529(a,1),584(a,1,2))]. 16.34/16.66 1601 rd(mult(ld(A,A),B),A) = mult(A,rd(ld(A,B),A)). [para(1529(a,1),207(a,1,1,1))]. 16.34/16.66 1606 ld(mult(A,A),mult(A,A)) = ld(A,A). [para(1529(a,1),304(a,2)),rewrite([1529(1),695(2),9(2),1529(1)]),flip(a)]. 16.34/16.66 1614 ld(mult(A,A),mult(A,mult(A,A))) = A. [back_rewrite(1445),rewrite([1585(2)])]. 16.34/16.66 1703 mult(mult(A,mult(B,B)),ld(B,B)) = mult(mult(A,B),B). [para(1585(a,1),21(a,1,1,2,2)),rewrite([9(8),1585(7)])]. 16.34/16.66 1711 ld(ld(A,B),mult(ld(B,A),ld(A,B))) = ld(B,A). [para(1585(a,1),785(a,1,1)),rewrite([422(4)])]. 16.34/16.66 1715 rd(mult(A,B),mult(B,B)) = mult(rd(A,B),ld(B,B)). [para(1585(a,1),187(a,2,1,2)),rewrite([695(2),695(4),9(4),1012(3)])]. 16.34/16.66 1718 ld(rd(A,mult(B,B)),mult(rd(A,B),ld(B,B))) = B. [para(1585(a,1),231(a,1,1,2,2)),rewrite([695(5)])]. 16.34/16.66 1726 rd(mult(A,ld(B,B)),B) = mult(rd(A,B),ld(B,B)). [back_rewrite(1012),rewrite([1715(6)])]. 16.34/16.66 1730 mult(mult(mult(A,B),B),mult(B,B)) = mult(A,mult(mult(B,B),mult(B,B))). [para(1534(a,1),11(a,2,2,2)),rewrite([1703(4)])]. 16.34/16.66 1731 ld(mult(mult(A,B),B),mult(A,mult(mult(B,B),mult(B,B)))) = mult(B,B). [para(1534(a,1),19(a,1,2,2,2)),rewrite([1703(4)])]. 16.34/16.66 1740 mult(mult(A,A),rd(ld(mult(A,A),B),mult(A,A))) = rd(mult(ld(A,A),B),mult(A,A)). [para(1534(a,1),49(a,1,1))]. 16.34/16.66 1766 mult(ld(A,ld(A,A)),mult(A,mult(B,A))) = mult(mult(ld(A,A),B),A). [para(1582(a,1),16(a,1,1))]. 16.34/16.66 1873 mult(ld(A,ld(A,A)),rd(B,A)) = rd(ld(A,B),A). [para(1596(a,1),36(a,1,2)),rewrite([1601(3),10(4),1596(7)]),flip(a)]. 16.34/16.66 1882 mult(ld(ld(A,ld(A,A)),B),A) = mult(A,mult(B,A)). [para(1596(a,1),209(a,1,1)),rewrite([695(5),1586(4),98(4),10(2),695(8),1586(7)]),flip(a)]. 16.34/16.66 1975 mult(mult(A,A),mult(A,A)) = mult(A,mult(A,mult(A,A))). [para(1606(a,1),35(a,1,2)),rewrite([1703(5),11(3),1606(7),1534(7)]),flip(a)]. 16.34/16.66 1981 mult(ld(mult(mult(A,A),A),A),A) = ld(A,ld(A,A)). [para(1606(a,1),105(a,1,2)),flip(a)]. 16.34/16.66 1996 ld(mult(mult(A,B),B),mult(A,mult(B,mult(B,mult(B,B))))) = mult(B,B). [back_rewrite(1731),rewrite([1975(5)])]. 16.34/16.66 1997 mult(mult(mult(A,B),B),mult(B,B)) = mult(A,mult(B,mult(B,mult(B,B)))). [back_rewrite(1730),rewrite([1975(7)])]. 16.34/16.66 1998 mult(mult(A,A),A) = mult(A,mult(A,A)). [para(1614(a,1),9(a,1,2))]. 16.34/16.66 2012 mult(ld(mult(A,mult(A,A)),A),A) = ld(A,ld(A,A)). [back_rewrite(1981),rewrite([1998(2)])]. 16.34/16.66 2167 mult(rd(rd(A,B),B),ld(B,B)) = rd(A,mult(B,B)). [para(423(a,1),712(a,1,2,1)),rewrite([695(3),10(2),536(5),695(5),536(8),1726(6)]),flip(a)]. 16.34/16.66 2222 mult(rd(ld(mult(A,B),A),B),mult(B,C)) = ld(B,C). [para(817(a,1),26(a,1,1)),rewrite([8(3)]),flip(a)]. 16.34/16.66 2274 mult(ld(mult(A,mult(B,B)),A),B) = rd(B,mult(B,B)). [para(1614(a,1),817(a,2,1)),rewrite([7(7)])]. 16.34/16.66 2277 rd(A,mult(A,A)) = ld(A,ld(A,A)). [back_rewrite(2012),rewrite([2274(4)])]. 16.34/16.66 2284 ld(ld(A,ld(A,A)),A) = mult(A,A). [para(2277(a,1),14(a,1,1))]. 16.34/16.66 2287 mult(ld(A,A),ld(A,A)) = ld(A,A). [para(2277(a,1),48(a,1,1,1)),rewrite([1593(3),1529(2),1529(4)])]. 16.34/16.66 2309 ld(mult(A,A),ld(A,A)) = ld(A,ld(A,ld(A,A))). [para(2277(a,1),1598(a,2,2)),rewrite([1606(4)])]. 16.34/16.66 2428 rd(ld(mult(A,B),A),B) = ld(B,ld(mult(A,B),A)). [para(536(a,1),2284(a,2)),rewrite([422(7),10(4),536(5),1529(3),423(4)]),flip(a)]. 16.34/16.66 2438 mult(ld(A,ld(mult(B,A),B)),mult(A,C)) = ld(A,C). [back_rewrite(2222),rewrite([2428(3)])]. 16.34/16.66 2450 mult(ld(A,A),mult(ld(A,A),mult(B,ld(A,A)))) = mult(mult(ld(A,A),B),ld(A,A)). [para(2287(a,1),11(a,1,1,1)),flip(a)]. 16.34/16.66 2451 ld(ld(A,A),mult(B,ld(A,A))) = mult(mult(ld(A,A),B),ld(A,A)). [para(2287(a,1),33(a,1,2,1,1)),rewrite([1100(5),2450(6)]),flip(a)]. 16.34/16.66 2900 ld(ld(A,A),ld(ld(A,A),B)) = mult(ld(A,A),B). [para(2287(a,1),922(a,1,1,1)),rewrite([695(3),2451(4),724(6)]),flip(a)]. 16.34/16.66 3237 ld(ld(ld(mult(A,B),A),C),mult(B,mult(C,B))) = B. [para(1130(a,1),10(a,1,2))]. 16.34/16.66 4278 ld(ld(mult(A,B),A),rd(ld(B,ld(B,B)),C)) = ld(mult(D,C),D). [para(1571(a,1),583(a,2,2)),flip(a)]. 16.34/16.66 4280 ld(ld(mult(A,B),A),rd(ld(B,ld(B,B)),C)) = ld(D,rd(D,C)). [para(1571(a,1),584(a,1,2))]. 16.34/16.66 4293 ld(ld(mult(A,B),A),rd(ld(B,ld(B,B)),C)) = ld(C,ld(C,C)). [para(1571(a,1),1598(a,2,2)),flip(a)]. 16.34/16.66 4294 ld(ld(A,ld(A,A)),rd(ld(mult(B,A),B),C)) = ld(C,ld(C,C)). [para(1571(a,2),1598(a,2,2)),flip(a)]. 16.34/16.66 4575 ld(mult(A,ld(B,C)),mult(A,ld(B,C))) = mult(rd(A,mult(ld(C,B),A)),ld(C,B)). [para(695(a,1),1590(a,1,1)),rewrite([695(4)])]. 16.34/16.66 4584 mult(A,mult(mult(rd(B,mult(A,B)),A),A)) = ld(rd(rd(B,A),A),B). [para(1590(a,1),346(a,1,2,1))]. 16.34/16.66 6549 ld(rd(mult(ld(A,A),B),mult(A,A)),mult(mult(A,rd(ld(A,B),A)),ld(A,A))) = A. [para(1601(a,1),1718(a,1,1)),rewrite([1740(6),1606(7),1601(7)])]. 16.34/16.66 7026 mult(rd(ld(A,B),mult(A,B)),A) = ld(A,ld(A,A)). [para(1873(a,1),7(a,1,1)),rewrite([187(4)])]. 16.34/16.66 7117 rd(mult(A,mult(B,A)),A) = ld(ld(A,ld(A,A)),B). [para(1882(a,1),7(a,1,1))]. 16.34/16.66 7683 mult(ld(A,A),mult(ld(rd(rd(B,A),A),C),ld(A,A))) = ld(rd(B,mult(A,A)),mult(C,ld(A,A))). [para(2167(a,1),819(a,2,1)),rewrite([695(7),1100(7),695(11)])]. 16.34/16.66 8615 ld(A,ld(mult(B,A),B)) = rd(ld(A,C),mult(A,C)). [para(2438(a,1),7(a,1,1)),flip(a)]. 16.34/16.66 8617 mult(ld(A,ld(mult(B,A),B)),C) = ld(A,ld(A,C)). [para(9(a,1),2438(a,1,2))]. 16.34/16.66 8700 mult(ld(A,A),mult(ld(A,A),B)) = ld(ld(A,A),B). [para(2287(a,1),2438(a,1,1,2,1)),rewrite([422(4),2287(4),422(3),2287(3)])]. 16.34/16.66 10430 mult(A,ld(ld(ld(B,B),C),ld(B,B))) = rd(A,mult(ld(B,B),C)). [para(2900(a,1),695(a,1,2)),flip(a)]. 16.34/16.66 10440 ld(mult(ld(A,A),B),rd(ld(ld(A,A),C),B)) = rd(ld(B,mult(ld(A,A),C)),B). [para(2900(a,1),819(a,1,1,2)),flip(a)]. 16.34/16.66 10446 ld(ld(ld(ld(A,A),B),ld(A,A)),ld(mult(ld(A,A),B),mult(ld(A,A),B))) = mult(ld(A,A),B). [para(2900(a,1),1711(a,1,2,1)),rewrite([10430(11),1529(9),2900(14)])]. 16.34/16.66 11003 ld(ld(ld(A,B),B),mult(ld(B,A),A)) = ld(B,A). [para(9(a,1),3237(a,1,2,2)),rewrite([785(3)])]. 16.34/16.66 12096 ld(A,ld(A,ld(A,A))) = rd(ld(A,B),mult(A,B)). [para(7026(a,1),7(a,1,1)),rewrite([819(3),1529(2),2309(3)])]. 16.34/16.66 12258 ld(ld(A,B),mult(C,ld(A,B))) = mult(mult(ld(B,A),C),ld(A,B)). [para(724(a,1),7117(a,1,1,2)),rewrite([695(4),422(8),1711(9)]),flip(a)]. 16.34/16.66 12998 ld(ld(A,B),ld(ld(A,B),C)) = mult(mult(ld(B,A),ld(B,A)),C). [para(9(a,1),8617(a,1,1,2,1)),rewrite([1366(3)]),flip(a)]. 16.34/16.66 13128 mult(rd(ld(A,B),mult(A,B)),C) = ld(A,ld(A,C)). [para(8615(a,1),8617(a,1,1))]. 16.34/16.66 16378 ld(ld(ld(A,ld(A,B)),rd(ld(A,C),mult(A,C))),ld(B,B)) = B. [para(13128(a,1),423(a,1,1,1))]. 16.34/16.66 16402 ld(ld(A,ld(A,B)),rd(ld(A,C),mult(A,C))) = ld(B,ld(B,B)). [para(13128(a,1),1597(a,1,1))]. 16.34/16.66 25350 ld(rd(A,mult(ld(B,A),A)),ld(B,B)) = ld(B,A). [para(9(a,1),1159(a,1,2,1)),rewrite([1529(4)])]. 16.34/16.66 25426 ld(ld(A,A),rd(B,mult(ld(A,B),B))) = ld(B,A). [para(25350(a,1),785(a,1,1,2)),rewrite([785(3)]),flip(a)]. 16.34/16.66 25495 rd(A,mult(ld(B,A),A)) = mult(ld(B,B),ld(A,B)). [para(25426(a,1),9(a,1,2)),flip(a)]. 16.34/16.66 25551 ld(ld(ld(A,B),rd(A,mult(ld(B,A),A))),mult(ld(B,A),ld(B,B))) = ld(B,A). [para(25426(a,1),11003(a,1,1,1)),rewrite([25350(10),25350(14)])]. 16.34/16.66 25590 ld(A,rd(B,mult(ld(C,B),B))) = ld(A,mult(ld(C,C),ld(B,C))). [para(25495(a,2),33(a,2,2)),rewrite([33(8)]),flip(a)]. 16.34/16.66 29125 ld(A,ld(ld(B,ld(B,B)),rd(ld(mult(C,B),C),A))) = rd(ld(A,D),mult(A,D)). [para(4294(a,2),12096(a,1,2))]. 16.34/16.66 30208 mult(ld(A,A),rd(B,mult(ld(A,A),B))) = ld(B,B). [para(724(a,1),4584(a,1,2)),rewrite([695(7),695(9),724(9)])]. 16.34/16.66 30229 mult(ld(A,ld(B,B)),ld(ld(B,B),A)) = mult(ld(B,B),rd(ld(ld(B,B),A),A)). [para(9(a,1),30208(a,1,2,2)),rewrite([422(10)]),flip(a)]. 16.34/16.66 30230 rd(A,mult(ld(B,B),A)) = ld(ld(B,B),ld(A,A)). [para(30208(a,1),10(a,1,2)),flip(a)]. 16.34/16.66 30235 ld(ld(ld(A,A),ld(B,B)),ld(B,B)) = mult(ld(A,A),ld(B,B)). [para(30208(a,1),534(a,1,2)),rewrite([30230(3),30230(6),123(11),10430(7),30230(5),422(4),2287(4),30230(9),12998(10),2287(8)])]. 16.34/16.66 30246 mult(ld(A,A),mult(ld(ld(A,A),ld(B,B)),ld(B,B))) = ld(B,B). [para(30208(a,1),940(a,1,1,1)),rewrite([30230(4),785(6),12998(5),2287(3),30230(6),35(7),30230(10),30230(14),30230(17),422(18),30229(18),695(17),10(19),10(16)])]. 16.34/16.66 30250 ld(ld(A,A),ld(B,B)) = mult(ld(B,B),ld(A,A)). [para(30208(a,1),1566(a,1,1,2,2)),rewrite([30230(3),30230(9),983(13),30230(6),30230(9),30230(12),422(13),30229(13),695(12),30246(13),30235(8)])]. 16.34/16.66 30251 mult(ld(A,A),mult(ld(B,B),ld(A,A))) = ld(B,B). [para(30208(a,1),1569(a,1,1,2)),rewrite([695(2),30230(7),30250(7),695(9),724(9),893(7),785(4),30250(9),2287(9),30250(8),2287(8)])]. 16.34/16.66 30252 mult(mult(ld(A,A),ld(B,B)),ld(A,A)) = mult(ld(A,A),ld(B,B)). [para(30208(a,1),1588(a,1,1,1,1)),rewrite([30230(5),30250(5),30251(6),30250(3),2287(3),30230(6),30250(6),695(8),724(8),30230(9),30250(9),30251(10),695(8)])]. 16.34/16.66 30253 mult(mult(ld(A,A),ld(B,B)),mult(ld(A,A),ld(B,B))) = ld(A,A). [para(30208(a,1),1766(a,1,2,2)),rewrite([30230(3),30250(3),30230(6),30250(6),30230(9),30250(9),4575(10),30230(8),30250(7),2287(7),30250(6),724(8),785(5),30230(4),30250(4),30252(6),30251(5),30230(4),30250(4),30230(7),30250(7),4575(8),30230(6),30250(5),2287(5),30250(4),724(6),30230(7),30250(7)]),flip(a)]. 16.34/16.66 30260 ld(A,A) = ld(B,B). [para(30208(a,1),1996(a,1,1,1)),rewrite([30230(4),30250(4),8700(5),30250(3),30230(7),30250(7),30230(10),30250(10),30230(13),30250(13),30230(16),30250(16),30253(17),30252(12),30253(11),4575(7),30230(5),30250(4),2287(4),30250(3),724(5),30230(4),30250(4),30230(7),30250(7),30253(8)])]. 16.34/16.66 30261 mult(ld(A,A),ld(B,B)) = ld(A,A). [para(30208(a,1),1997(a,1,1,1)),rewrite([30230(4),30250(4),8700(5),30250(3),30230(6),30250(6),30230(9),30250(9),30253(10),724(5),30230(5),30250(5),30230(8),30250(8),30230(11),30250(11),30230(14),30250(14),30253(15),30252(10),30253(9)]),flip(a)]. 16.34/16.66 30298 ld(ld(A,A),rd(ld(B,B),C)) = ld(mult(D,C),D). [para(30208(a,1),4278(a,1,1,1)),rewrite([30250(3),30261(3),30230(4),30250(4),30261(4),30230(5),30250(5),30261(5),30230(6),30250(6),30261(6),30250(5),2287(5),30250(4),2287(4)])]. 16.34/16.66 30299 ld(ld(A,A),rd(ld(B,B),C)) = ld(D,rd(D,C)). [para(30208(a,1),4280(a,1,1,1)),rewrite([30250(3),30261(3),30230(4),30250(4),30261(4),30230(5),30250(5),30261(5),30230(6),30250(6),30261(6),30250(5),2287(5),30250(4),2287(4)])]. 16.34/16.66 30301 ld(ld(A,A),rd(ld(B,B),C)) = ld(C,ld(C,C)). [para(30208(a,1),4293(a,1,1,1)),rewrite([30250(3),30261(3),30230(4),30250(4),30261(4),30230(5),30250(5),30261(5),30230(6),30250(6),30261(6),30250(5),2287(5),30250(4),2287(4)])]. 16.34/16.66 30314 ld(A,A) = c_0. [new_symbol(30260)]. 16.34/16.66 30329 ld(c_0,rd(c_0,A)) = ld(A,c_0). [back_rewrite(30301),rewrite([30314(1),30314(2),30314(5)])]. 16.34/16.66 30330 ld(A,rd(A,B)) = ld(B,c_0). [back_rewrite(30299),rewrite([30314(1),30314(2),30329(4)]),flip(a)]. 16.34/16.66 30331 ld(mult(A,B),A) = ld(B,c_0). [back_rewrite(30298),rewrite([30314(1),30314(2),30330(4)]),flip(a)]. 16.34/16.66 30412 rd(ld(A,B),mult(A,B)) = ld(A,ld(A,c_0)). [back_rewrite(29125),rewrite([30314(1),30331(4),30330(6)]),flip(a)]. 16.34/16.66 30531 ld(A,rd(B,mult(ld(C,B),B))) = ld(A,mult(c_0,ld(B,C))). [back_rewrite(25590),rewrite([30314(5)])]. 16.34/16.66 30537 ld(ld(A,B),c_0) = ld(B,A). [back_rewrite(25551),rewrite([30531(5),12258(5),30314(7),1597(9),30314(4)])]. 16.34/16.66 30676 ld(ld(A,ld(A,B)),ld(A,ld(A,c_0))) = ld(B,c_0). [back_rewrite(16402),rewrite([30412(5),30314(7)])]. 16.34/16.66 30679 ld(c_0,A) = A. [back_rewrite(16378),rewrite([30412(5),30676(6),30314(3),30537(4)])]. 16.34/16.66 31248 mult(c_0,A) = A. [back_rewrite(10446),rewrite([30314(1),30679(2),30314(1),30314(3),30314(5),30314(7),30537(4),30679(2),30314(1)]),flip(a)]. 16.34/16.66 31249 rd(ld(A,B),A) = ld(A,rd(B,A)). [back_rewrite(10440),rewrite([30314(1),31248(2),30314(1),30679(2),30314(3),31248(4)]),flip(a)]. 16.34/16.66 31592 ld(rd(A,mult(B,B)),mult(C,c_0)) = mult(ld(rd(rd(A,B),B),C),c_0). [back_rewrite(7683),rewrite([30314(1),30314(5),31248(7),30314(8)]),flip(a)]. 16.34/16.66 31901 mult(A,c_0) = A. [back_rewrite(6549),rewrite([30314(1),31248(2),31249(4),9(5),30314(4),31592(6),14(4)])]. 16.34/16.66 32502 $F # answer(goals). [back_rewrite(12),rewrite([30314(4),31901(3),30314(6),31248(6)]),xx(a),xx(b)]. 16.34/16.66 16.34/16.66 % SZS output end Refutation 16.34/16.66 ============================== end of proof ========================== 16.34/16.66 16.34/16.66 ============================== STATISTICS ============================ 16.34/16.66 16.34/16.66 Given=709. Generated=634997. Kept=32495. proofs=1. 16.34/16.66 Usable=416. Sos=5660. Demods=7229. Limbo=2188, Disabled=24237. Hints=0. 16.34/16.66 Megabytes=34.39. 16.34/16.66 User_CPU=15.31, System_CPU=0.37, Wall_clock=15. 16.34/16.66 16.34/16.66 ============================== end of statistics ===================== 16.34/16.66 16.34/16.66 ============================== end of search ========================= 16.34/16.66 16.34/16.66 THEOREM PROVED 16.34/16.66 % SZS status Theorem 16.34/16.66 16.34/16.66 Exiting with 1 proof. 16.34/16.66 16.34/16.66 Process 7889 exit (max_proofs) Thu Aug 29 13:18:58 2019 16.34/16.66 Prover9 interrupted 16.34/16.66 EOF